% This dataset is taken from the Penn Machine Learning Benchmark. % This ARFF is automatically generated. % The data types of attributes are inferred from the data. % In particular this means there is some uncertainty as to whether an attribute truly is categorical, numerical or ordinal. @RELATION GAMETES_Epistasis_2-Way_1000atts_0.4H_EDM-1_EDM-1_1 @ATTRIBUTE N0 {0,1,2} @ATTRIBUTE N1 {0,1} @ATTRIBUTE N2 {0,1,2} @ATTRIBUTE N3 {0,1,2} @ATTRIBUTE N4 {0,1,2} @ATTRIBUTE N5 {0,1,2} @ATTRIBUTE N6 {0,1,2} @ATTRIBUTE N7 {0,1,2} @ATTRIBUTE N8 {0,1,2} @ATTRIBUTE N9 {0,1,2} @ATTRIBUTE N10 {0,1,2} @ATTRIBUTE N11 {0,1,2} @ATTRIBUTE N12 {0,1,2} @ATTRIBUTE N13 {0,1,2} @ATTRIBUTE N14 {0,1,2} @ATTRIBUTE N15 {0,1,2} @ATTRIBUTE N16 {0,1,2} @ATTRIBUTE N17 {0,1,2} @ATTRIBUTE N18 {0,1,2} @ATTRIBUTE N19 {0,1,2} @ATTRIBUTE N20 {0,1} @ATTRIBUTE N21 {0,1,2} @ATTRIBUTE N22 {0,1,2} @ATTRIBUTE N23 {0,1,2} @ATTRIBUTE N24 {0,1,2} @ATTRIBUTE N25 {0,1,2} @ATTRIBUTE N26 {0,1,2} @ATTRIBUTE N27 {0,1,2} @ATTRIBUTE N28 {0,1,2} @ATTRIBUTE N29 {0,1,2} @ATTRIBUTE N30 {0,1,2} @ATTRIBUTE N31 {0,1} @ATTRIBUTE N32 {0,1,2} @ATTRIBUTE N33 {0,1,2} @ATTRIBUTE N34 {0,1,2} @ATTRIBUTE N35 {0,1} @ATTRIBUTE N36 {0,1,2} @ATTRIBUTE N37 {0,1,2} @ATTRIBUTE N38 {0,1,2} @ATTRIBUTE N39 {0,1,2} @ATTRIBUTE N40 {0,1,2} @ATTRIBUTE N41 {0,1,2} @ATTRIBUTE N42 {0,1,2} @ATTRIBUTE N43 {0,1,2} @ATTRIBUTE N44 {0,1,2} @ATTRIBUTE N45 {0,1,2} @ATTRIBUTE N46 {0,1,2} @ATTRIBUTE N47 {0,1,2} @ATTRIBUTE N48 {0,1,2} @ATTRIBUTE N49 {0,1,2} @ATTRIBUTE N50 {0,1,2} @ATTRIBUTE N51 {0,1,2} @ATTRIBUTE N52 {0,1,2} @ATTRIBUTE N53 {0,1,2} @ATTRIBUTE N54 {0,1,2} @ATTRIBUTE N55 {0,1,2} @ATTRIBUTE N56 {0,1,2} @ATTRIBUTE N57 {0,1,2} @ATTRIBUTE N58 {0,1,2} @ATTRIBUTE N59 {0,1,2} @ATTRIBUTE N60 {0,1,2} @ATTRIBUTE N61 {0,1} @ATTRIBUTE N62 {0,1,2} @ATTRIBUTE N63 {0,1,2} @ATTRIBUTE N64 {0,1,2} @ATTRIBUTE N65 {0,1,2} @ATTRIBUTE N66 {0,1,2} @ATTRIBUTE N67 {0,1,2} @ATTRIBUTE N68 {0,1,2} @ATTRIBUTE N69 {0,1,2} @ATTRIBUTE N70 {0,1,2} @ATTRIBUTE N71 {0,1,2} @ATTRIBUTE N72 {0,1,2} @ATTRIBUTE N73 {0,1,2} @ATTRIBUTE N74 {0,1,2} @ATTRIBUTE N75 {0,1,2} @ATTRIBUTE N76 {0,1,2} @ATTRIBUTE N77 {0,1,2} @ATTRIBUTE N78 {0,1} @ATTRIBUTE N79 {0,1,2} @ATTRIBUTE N80 {0,1,2} @ATTRIBUTE N81 {0,1} @ATTRIBUTE N82 {0,1,2} @ATTRIBUTE N83 {0,1,2} @ATTRIBUTE N84 {0,1,2} @ATTRIBUTE N85 {0,1,2} @ATTRIBUTE N86 {0,1,2} @ATTRIBUTE N87 {0,1,2} @ATTRIBUTE N88 {0,1,2} @ATTRIBUTE N89 {0,1,2} @ATTRIBUTE N90 {0,1,2} @ATTRIBUTE N91 {0,1,2} @ATTRIBUTE N92 {0,1,2} @ATTRIBUTE N93 {0,1} @ATTRIBUTE N94 {0,1,2} @ATTRIBUTE N95 {0,1,2} @ATTRIBUTE N96 {0,1,2} @ATTRIBUTE N97 {0,1,2} @ATTRIBUTE N98 {0,1,2} @ATTRIBUTE N99 {0,1} @ATTRIBUTE N100 {0,1,2} @ATTRIBUTE N101 {0,1,2} @ATTRIBUTE N102 {0,1,2} @ATTRIBUTE N103 {0,1,2} @ATTRIBUTE N104 {0,1,2} @ATTRIBUTE N105 {0,1,2} @ATTRIBUTE N106 {0,1,2} @ATTRIBUTE N107 {0,1,2} @ATTRIBUTE N108 {0,1,2} @ATTRIBUTE N109 {0,1,2} @ATTRIBUTE N110 {0,1,2} @ATTRIBUTE N111 {0,1,2} @ATTRIBUTE N112 {0,1,2} @ATTRIBUTE N113 {0,1,2} @ATTRIBUTE N114 {0,1,2} @ATTRIBUTE N115 {0,1,2} @ATTRIBUTE N116 {0,1,2} @ATTRIBUTE N117 {0,1,2} @ATTRIBUTE N118 {0,1,2} @ATTRIBUTE N119 {0,1,2} @ATTRIBUTE N120 {0,1,2} @ATTRIBUTE N121 {0,1,2} @ATTRIBUTE N122 {0,1,2} @ATTRIBUTE N123 {0,1,2} @ATTRIBUTE N124 {0,1,2} @ATTRIBUTE N125 {0,1,2} @ATTRIBUTE N126 {0,1,2} @ATTRIBUTE N127 {0,1,2} @ATTRIBUTE N128 {0,1,2} @ATTRIBUTE N129 {0,1,2} @ATTRIBUTE N130 {0,1,2} @ATTRIBUTE N131 {0,1,2} @ATTRIBUTE N132 {0,1,2} @ATTRIBUTE N133 {0,1,2} @ATTRIBUTE N134 {0,1,2} @ATTRIBUTE N135 {0,1,2} @ATTRIBUTE N136 {0,1,2} @ATTRIBUTE N137 {0,1,2} @ATTRIBUTE N138 {0,1,2} @ATTRIBUTE N139 {0,1,2} @ATTRIBUTE N140 {0,1,2} @ATTRIBUTE N141 {0,1,2} @ATTRIBUTE N142 {0,1,2} @ATTRIBUTE N143 {0,1,2} @ATTRIBUTE N144 {0,1,2} @ATTRIBUTE N145 {0,1,2} @ATTRIBUTE N146 {0,1,2} @ATTRIBUTE N147 {0,1,2} @ATTRIBUTE N148 {0,1,2} @ATTRIBUTE N149 {0,1,2} @ATTRIBUTE N150 {0,1,2} @ATTRIBUTE N151 {0,1,2} @ATTRIBUTE N152 {0,1,2} @ATTRIBUTE N153 {0,1,2} @ATTRIBUTE N154 {0,1,2} @ATTRIBUTE N155 {0,1,2} @ATTRIBUTE N156 {0,1} @ATTRIBUTE N157 {0,1,2} @ATTRIBUTE N158 {0,1,2} @ATTRIBUTE N159 {0,1,2} @ATTRIBUTE N160 {0,1,2} @ATTRIBUTE N161 {0,1,2} @ATTRIBUTE N162 {0,1,2} @ATTRIBUTE N163 {0,1,2} @ATTRIBUTE N164 {0,1,2} @ATTRIBUTE N165 {0,1,2} @ATTRIBUTE N166 {0,1,2} @ATTRIBUTE N167 {0,1,2} @ATTRIBUTE N168 {0,1,2} @ATTRIBUTE N169 {0,1,2} @ATTRIBUTE N170 {0,1,2} @ATTRIBUTE N171 {0,1,2} @ATTRIBUTE N172 {0,1,2} @ATTRIBUTE N173 {0,1,2} @ATTRIBUTE N174 {0,1,2} @ATTRIBUTE N175 {0,1,2} @ATTRIBUTE N176 {0,1,2} @ATTRIBUTE N177 {0,1,2} @ATTRIBUTE N178 {0,1,2} @ATTRIBUTE N179 {0,1,2} @ATTRIBUTE N180 {0,1,2} @ATTRIBUTE N181 {0,1,2} @ATTRIBUTE N182 {0,1,2} @ATTRIBUTE N183 {0,1,2} @ATTRIBUTE N184 {0,1,2} @ATTRIBUTE N185 {0,1,2} @ATTRIBUTE N186 {0,1,2} @ATTRIBUTE N187 {0,1,2} @ATTRIBUTE N188 {0,1,2} @ATTRIBUTE N189 {0,1,2} @ATTRIBUTE N190 {0,1,2} @ATTRIBUTE N191 {0,1,2} @ATTRIBUTE N192 {0,1,2} @ATTRIBUTE N193 {0,1,2} @ATTRIBUTE N194 {0,1,2} @ATTRIBUTE N195 {0,1,2} @ATTRIBUTE N196 {0,1,2} @ATTRIBUTE N197 {0,1,2} @ATTRIBUTE N198 {0,1,2} @ATTRIBUTE N199 {0,1,2} @ATTRIBUTE N200 {0,1,2} @ATTRIBUTE N201 {0,1,2} @ATTRIBUTE N202 {0,1,2} @ATTRIBUTE N203 {0,1,2} @ATTRIBUTE N204 {0,1,2} @ATTRIBUTE N205 {0,1,2} @ATTRIBUTE N206 {0,1,2} @ATTRIBUTE N207 {0,1,2} @ATTRIBUTE N208 {0,1,2} @ATTRIBUTE N209 {0,1,2} @ATTRIBUTE N210 {0,1,2} @ATTRIBUTE N211 {0,1,2} @ATTRIBUTE N212 {0,1,2} @ATTRIBUTE N213 {0,1,2} @ATTRIBUTE N214 {0,1,2} @ATTRIBUTE N215 {0,1,2} @ATTRIBUTE N216 {0,1,2} @ATTRIBUTE N217 {0,1,2} @ATTRIBUTE N218 {0,1,2} @ATTRIBUTE N219 {0,1,2} @ATTRIBUTE N220 {0,1,2} @ATTRIBUTE N221 {0,1,2} @ATTRIBUTE N222 {0,1,2} @ATTRIBUTE N223 {0,1,2} @ATTRIBUTE N224 {0,1,2} @ATTRIBUTE N225 {0,1,2} @ATTRIBUTE N226 {0,1,2} @ATTRIBUTE N227 {0,1,2} @ATTRIBUTE N228 {0,1,2} @ATTRIBUTE N229 {0,1,2} @ATTRIBUTE N230 {0,1,2} @ATTRIBUTE N231 {0,1,2} @ATTRIBUTE N232 {0,1,2} @ATTRIBUTE N233 {0,1,2} @ATTRIBUTE N234 {0,1} @ATTRIBUTE N235 {0,1,2} @ATTRIBUTE N236 {0,1,2} @ATTRIBUTE N237 {0,1,2} @ATTRIBUTE N238 {0,1,2} @ATTRIBUTE N239 {0,1,2} @ATTRIBUTE N240 {0,1,2} @ATTRIBUTE N241 {0,1,2} @ATTRIBUTE N242 {0,1,2} @ATTRIBUTE N243 {0,1,2} @ATTRIBUTE N244 {0,1,2} @ATTRIBUTE N245 {0,1,2} @ATTRIBUTE N246 {0,1,2} @ATTRIBUTE N247 {0,1,2} @ATTRIBUTE N248 {0,1,2} @ATTRIBUTE N249 {0,1,2} @ATTRIBUTE N250 {0,1,2} @ATTRIBUTE N251 {0,1,2} @ATTRIBUTE N252 {0,1,2} @ATTRIBUTE N253 {0,1,2} @ATTRIBUTE N254 {0,1,2} @ATTRIBUTE N255 {0,1,2} @ATTRIBUTE N256 {0,1,2} @ATTRIBUTE N257 {0,1,2} @ATTRIBUTE N258 {0,1,2} @ATTRIBUTE N259 {0,1,2} @ATTRIBUTE N260 {0,1,2} @ATTRIBUTE N261 {0,1,2} @ATTRIBUTE N262 {0,1,2} @ATTRIBUTE N263 {0,1,2} @ATTRIBUTE N264 {0,1,2} @ATTRIBUTE N265 {0,1,2} @ATTRIBUTE N266 {0,1,2} @ATTRIBUTE N267 {0,1,2} @ATTRIBUTE N268 {0,1,2} @ATTRIBUTE N269 {0,1,2} @ATTRIBUTE N270 {0,1,2} @ATTRIBUTE N271 {0,1,2} @ATTRIBUTE N272 {0,1,2} @ATTRIBUTE N273 {0,1,2} @ATTRIBUTE N274 {0,1,2} @ATTRIBUTE N275 {0,1,2} @ATTRIBUTE N276 {0,1,2} @ATTRIBUTE N277 {0,1,2} @ATTRIBUTE N278 {0,1,2} @ATTRIBUTE N279 {0,1,2} @ATTRIBUTE N280 {0,1,2} @ATTRIBUTE N281 {0,1,2} @ATTRIBUTE N282 {0,1,2} @ATTRIBUTE N283 {0,1,2} @ATTRIBUTE N284 {0,1,2} @ATTRIBUTE N285 {0,1,2} @ATTRIBUTE N286 {0,1,2} @ATTRIBUTE N287 {0,1,2} @ATTRIBUTE N288 {0,1,2} @ATTRIBUTE N289 {0,1,2} @ATTRIBUTE N290 {0,1,2} @ATTRIBUTE N291 {0,1,2} @ATTRIBUTE N292 {0,1,2} @ATTRIBUTE N293 {0,1} @ATTRIBUTE N294 {0,1,2} @ATTRIBUTE N295 {0,1,2} @ATTRIBUTE N296 {0,1,2} @ATTRIBUTE N297 {0,1,2} @ATTRIBUTE N298 {0,1,2} @ATTRIBUTE N299 {0,1,2} @ATTRIBUTE N300 {0,1,2} @ATTRIBUTE N301 {0,1,2} @ATTRIBUTE N302 {0,1,2} @ATTRIBUTE N303 {0,1,2} @ATTRIBUTE N304 {0,1,2} @ATTRIBUTE N305 {0,1,2} @ATTRIBUTE N306 {0,1,2} @ATTRIBUTE N307 {0,1,2} @ATTRIBUTE N308 {0,1,2} @ATTRIBUTE N309 {0,1,2} @ATTRIBUTE N310 {0,1,2} @ATTRIBUTE N311 {0,1,2} @ATTRIBUTE N312 {0,1,2} @ATTRIBUTE N313 {0,1,2} @ATTRIBUTE N314 {0,1,2} @ATTRIBUTE N315 {0,1,2} @ATTRIBUTE N316 {0,1,2} @ATTRIBUTE N317 {0,1,2} @ATTRIBUTE N318 {0,1,2} @ATTRIBUTE N319 {0,1,2} @ATTRIBUTE N320 {0,1,2} @ATTRIBUTE N321 {0,1,2} @ATTRIBUTE N322 {0,1,2} @ATTRIBUTE N323 {0,1,2} @ATTRIBUTE N324 {0,1,2} @ATTRIBUTE N325 {0,1,2} @ATTRIBUTE N326 {0,1,2} @ATTRIBUTE N327 {0,1,2} @ATTRIBUTE N328 {0,1,2} @ATTRIBUTE N329 {0,1,2} @ATTRIBUTE N330 {0,1,2} @ATTRIBUTE N331 {0,1,2} @ATTRIBUTE N332 {0,1,2} @ATTRIBUTE N333 {0,1,2} @ATTRIBUTE N334 {0,1,2} @ATTRIBUTE N335 {0,1,2} @ATTRIBUTE N336 {0,1,2} @ATTRIBUTE N337 {0,1,2} @ATTRIBUTE N338 {0,1,2} @ATTRIBUTE N339 {0,1,2} @ATTRIBUTE N340 {0,1,2} @ATTRIBUTE N341 {0,1,2} @ATTRIBUTE N342 {0,1,2} @ATTRIBUTE N343 {0,1,2} @ATTRIBUTE N344 {0,1,2} @ATTRIBUTE N345 {0,1,2} @ATTRIBUTE N346 {0,1,2} @ATTRIBUTE N347 {0,1,2} @ATTRIBUTE N348 {0,1,2} @ATTRIBUTE N349 {0,1,2} @ATTRIBUTE N350 {0,1,2} @ATTRIBUTE N351 {0,1,2} @ATTRIBUTE N352 {0,1,2} @ATTRIBUTE N353 {0,1,2} @ATTRIBUTE N354 {0,1,2} @ATTRIBUTE N355 {0,1} @ATTRIBUTE N356 {0,1,2} @ATTRIBUTE N357 {0,1,2} @ATTRIBUTE N358 {0,1,2} @ATTRIBUTE N359 {0,1,2} @ATTRIBUTE N360 {0,1,2} @ATTRIBUTE N361 {0,1,2} @ATTRIBUTE N362 {0,1,2} @ATTRIBUTE N363 {0,1,2} @ATTRIBUTE N364 {0,1,2} @ATTRIBUTE N365 {0,1,2} @ATTRIBUTE N366 {0,1,2} @ATTRIBUTE N367 {0,1,2} @ATTRIBUTE N368 {0,1,2} @ATTRIBUTE N369 {0,1,2} @ATTRIBUTE N370 {0,1,2} @ATTRIBUTE N371 {0,1,2} @ATTRIBUTE N372 {0,1,2} @ATTRIBUTE N373 {0,1,2} @ATTRIBUTE N374 {0,1,2} @ATTRIBUTE N375 {0,1,2} @ATTRIBUTE N376 {0,1,2} @ATTRIBUTE N377 {0,1,2} @ATTRIBUTE N378 {0,1,2} @ATTRIBUTE N379 {0,1,2} @ATTRIBUTE N380 {0,1,2} @ATTRIBUTE N381 {0,1,2} @ATTRIBUTE N382 {0,1,2} @ATTRIBUTE N383 {0,1,2} @ATTRIBUTE N384 {0,1,2} @ATTRIBUTE N385 {0,1,2} @ATTRIBUTE N386 {0,1,2} @ATTRIBUTE N387 {0,1,2} @ATTRIBUTE N388 {0,1,2} @ATTRIBUTE N389 {0,1,2} @ATTRIBUTE N390 {0,1,2} @ATTRIBUTE N391 {0,1,2} @ATTRIBUTE N392 {0,1,2} @ATTRIBUTE N393 {0,1,2} @ATTRIBUTE N394 {0,1,2} @ATTRIBUTE N395 {0,1,2} @ATTRIBUTE N396 {0,1,2} @ATTRIBUTE N397 {0,1,2} @ATTRIBUTE N398 {0,1,2} @ATTRIBUTE N399 {0,1,2} @ATTRIBUTE N400 {0,1,2} @ATTRIBUTE N401 {0,1,2} @ATTRIBUTE N402 {0,1,2} @ATTRIBUTE N403 {0,1,2} @ATTRIBUTE N404 {0,1,2} @ATTRIBUTE N405 {0,1,2} @ATTRIBUTE N406 {0,1,2} @ATTRIBUTE N407 {0,1,2} @ATTRIBUTE N408 {0,1,2} @ATTRIBUTE N409 {0,1,2} @ATTRIBUTE N410 {0,1,2} @ATTRIBUTE N411 {0,1,2} @ATTRIBUTE N412 {0,1,2} @ATTRIBUTE N413 {0,1,2} @ATTRIBUTE N414 {0,1,2} @ATTRIBUTE N415 {0,1,2} @ATTRIBUTE N416 {0,1,2} @ATTRIBUTE N417 {0,1,2} @ATTRIBUTE N418 {0,1,2} @ATTRIBUTE N419 {0,1,2} @ATTRIBUTE N420 {0,1,2} @ATTRIBUTE N421 {0,1,2} @ATTRIBUTE N422 {0,1,2} @ATTRIBUTE N423 {0,1,2} @ATTRIBUTE N424 {0,1,2} @ATTRIBUTE N425 {0,1,2} @ATTRIBUTE N426 {0,1,2} @ATTRIBUTE N427 {0,1} @ATTRIBUTE N428 {0,1,2} @ATTRIBUTE N429 {0,1,2} @ATTRIBUTE N430 {0,1,2} @ATTRIBUTE N431 {0,1,2} @ATTRIBUTE N432 {0,1,2} @ATTRIBUTE N433 {0,1,2} @ATTRIBUTE N434 {0,1,2} @ATTRIBUTE N435 {0,1,2} @ATTRIBUTE N436 {0,1,2} @ATTRIBUTE N437 {0,1,2} @ATTRIBUTE N438 {0,1,2} @ATTRIBUTE N439 {0,1,2} @ATTRIBUTE N440 {0,1,2} @ATTRIBUTE N441 {0,1,2} @ATTRIBUTE N442 {0,1,2} @ATTRIBUTE N443 {0,1,2} @ATTRIBUTE N444 {0,1,2} @ATTRIBUTE N445 {0,1,2} @ATTRIBUTE N446 {0,1,2} @ATTRIBUTE N447 {0,1,2} @ATTRIBUTE N448 {0,1,2} @ATTRIBUTE N449 {0,1,2} @ATTRIBUTE N450 {0,1,2} @ATTRIBUTE N451 {0,1,2} @ATTRIBUTE N452 {0,1,2} @ATTRIBUTE N453 {0,1,2} @ATTRIBUTE N454 {0,1,2} @ATTRIBUTE N455 {0,1,2} @ATTRIBUTE N456 {0,1,2} @ATTRIBUTE N457 {0,1,2} @ATTRIBUTE N458 {0,1,2} @ATTRIBUTE N459 {0,1,2} @ATTRIBUTE N460 {0,1,2} @ATTRIBUTE N461 {0,1,2} @ATTRIBUTE N462 {0,1,2} @ATTRIBUTE N463 {0,1,2} @ATTRIBUTE N464 {0,1,2} @ATTRIBUTE N465 {0,1,2} @ATTRIBUTE N466 {0,1,2} @ATTRIBUTE N467 {0,1,2} @ATTRIBUTE N468 {0,1,2} @ATTRIBUTE N469 {0,1,2} @ATTRIBUTE N470 {0,1,2} @ATTRIBUTE N471 {0,1,2} @ATTRIBUTE N472 {0,1,2} @ATTRIBUTE N473 {0,1} @ATTRIBUTE N474 {0,1,2} @ATTRIBUTE N475 {0,1,2} @ATTRIBUTE N476 {0,1,2} @ATTRIBUTE N477 {0,1,2} @ATTRIBUTE N478 {0,1,2} @ATTRIBUTE N479 {0,1,2} @ATTRIBUTE N480 {0,1} @ATTRIBUTE N481 {0,1,2} @ATTRIBUTE N482 {0,1,2} @ATTRIBUTE N483 {0,1,2} @ATTRIBUTE N484 {0,1,2} @ATTRIBUTE N485 {0,1,2} @ATTRIBUTE N486 {0,1,2} @ATTRIBUTE N487 {0,1,2} @ATTRIBUTE N488 {0,1,2} @ATTRIBUTE N489 {0,1,2} @ATTRIBUTE N490 {0,1,2} @ATTRIBUTE N491 {0,1,2} @ATTRIBUTE N492 {0,1,2} @ATTRIBUTE N493 {0,1,2} @ATTRIBUTE N494 {0,1,2} @ATTRIBUTE N495 {0,1,2} @ATTRIBUTE N496 {0,1,2} @ATTRIBUTE N497 {0,1,2} @ATTRIBUTE N498 {0,1,2} @ATTRIBUTE N499 {0,1,2} @ATTRIBUTE N500 {0,1,2} @ATTRIBUTE N501 {0,1,2} @ATTRIBUTE N502 {0,1,2} @ATTRIBUTE N503 {0,1,2} @ATTRIBUTE N504 {0,1,2} @ATTRIBUTE N505 {0,1,2} @ATTRIBUTE N506 {0,1,2} @ATTRIBUTE N507 {0,1,2} @ATTRIBUTE N508 {0,1,2} @ATTRIBUTE N509 {0,1,2} @ATTRIBUTE N510 {0,1,2} @ATTRIBUTE N511 {0,1,2} @ATTRIBUTE N512 {0,1,2} @ATTRIBUTE N513 {0,1,2} @ATTRIBUTE N514 {0,1,2} @ATTRIBUTE N515 {0,1,2} @ATTRIBUTE N516 {0,1,2} @ATTRIBUTE N517 {0,1,2} @ATTRIBUTE N518 {0,1,2} @ATTRIBUTE N519 {0,1,2} @ATTRIBUTE N520 {0,1,2} @ATTRIBUTE N521 {0,1,2} @ATTRIBUTE N522 {0,1,2} @ATTRIBUTE N523 {0,1,2} @ATTRIBUTE N524 {0,1} @ATTRIBUTE N525 {0,1,2} @ATTRIBUTE N526 {0,1,2} @ATTRIBUTE N527 {0,1,2} @ATTRIBUTE N528 {0,1,2} @ATTRIBUTE N529 {0,1,2} @ATTRIBUTE N530 {0,1,2} @ATTRIBUTE N531 {0,1,2} @ATTRIBUTE N532 {0,1,2} @ATTRIBUTE N533 {0,1,2} @ATTRIBUTE N534 {0,1,2} @ATTRIBUTE N535 {0,1,2} @ATTRIBUTE N536 {0,1,2} @ATTRIBUTE N537 {0,1,2} @ATTRIBUTE N538 {0,1,2} @ATTRIBUTE N539 {0,1,2} @ATTRIBUTE N540 {0,1,2} @ATTRIBUTE N541 {0,1} @ATTRIBUTE N542 {0,1,2} @ATTRIBUTE N543 {0,1} @ATTRIBUTE N544 {0,1,2} @ATTRIBUTE N545 {0,1,2} @ATTRIBUTE N546 {0,1,2} @ATTRIBUTE N547 {0,1,2} @ATTRIBUTE N548 {0,1,2} @ATTRIBUTE N549 {0,1,2} @ATTRIBUTE N550 {0,1,2} @ATTRIBUTE N551 {0,1,2} @ATTRIBUTE N552 {0,1,2} @ATTRIBUTE N553 {0,1,2} @ATTRIBUTE N554 {0,1,2} @ATTRIBUTE N555 {0,1,2} @ATTRIBUTE N556 {0,1,2} @ATTRIBUTE N557 {0,1,2} @ATTRIBUTE N558 {0,1,2} @ATTRIBUTE N559 {0,1,2} @ATTRIBUTE N560 {0,1,2} @ATTRIBUTE N561 {0,1,2} @ATTRIBUTE N562 {0,1,2} @ATTRIBUTE N563 {0,1,2} @ATTRIBUTE N564 {0,1,2} @ATTRIBUTE N565 {0,1,2} @ATTRIBUTE N566 {0,1,2} @ATTRIBUTE N567 {0,1,2} @ATTRIBUTE N568 {0,1,2} @ATTRIBUTE N569 {0,1,2} @ATTRIBUTE N570 {0,1,2} @ATTRIBUTE N571 {0,1,2} @ATTRIBUTE N572 {0,1,2} @ATTRIBUTE N573 {0,1,2} @ATTRIBUTE N574 {0,1,2} @ATTRIBUTE N575 {0,1,2} @ATTRIBUTE N576 {0,1,2} @ATTRIBUTE N577 {0,1,2} @ATTRIBUTE N578 {0,1,2} @ATTRIBUTE N579 {0,1,2} @ATTRIBUTE N580 {0,1,2} @ATTRIBUTE N581 {0,1,2} @ATTRIBUTE N582 {0,1,2} @ATTRIBUTE N583 {0,1,2} @ATTRIBUTE N584 {0,1,2} @ATTRIBUTE N585 {0,1,2} @ATTRIBUTE N586 {0,1,2} @ATTRIBUTE N587 {0,1,2} @ATTRIBUTE N588 {0,1,2} @ATTRIBUTE N589 {0,1,2} @ATTRIBUTE N590 {0,1,2} @ATTRIBUTE N591 {0,1,2} @ATTRIBUTE N592 {0,1,2} @ATTRIBUTE N593 {0,1,2} @ATTRIBUTE N594 {0,1,2} @ATTRIBUTE N595 {0,1,2} @ATTRIBUTE N596 {0,1,2} @ATTRIBUTE N597 {0,1,2} @ATTRIBUTE N598 {0,1,2} @ATTRIBUTE N599 {0,1,2} @ATTRIBUTE N600 {0,1,2} @ATTRIBUTE N601 {0,1,2} @ATTRIBUTE N602 {0,1,2} @ATTRIBUTE N603 {0,1,2} @ATTRIBUTE N604 {0,1,2} @ATTRIBUTE N605 {0,1,2} @ATTRIBUTE N606 {0,1,2} @ATTRIBUTE N607 {0,1,2} @ATTRIBUTE N608 {0,1,2} @ATTRIBUTE N609 {0,1,2} @ATTRIBUTE N610 {0,1,2} @ATTRIBUTE N611 {0,1,2} @ATTRIBUTE N612 {0,1,2} @ATTRIBUTE N613 {0,1,2} @ATTRIBUTE N614 {0,1,2} @ATTRIBUTE N615 {0,1,2} @ATTRIBUTE N616 {0,1} @ATTRIBUTE N617 {0,1} @ATTRIBUTE N618 {0,1,2} @ATTRIBUTE N619 {0,1,2} @ATTRIBUTE N620 {0,1,2} @ATTRIBUTE N621 {0,1,2} @ATTRIBUTE N622 {0,1,2} @ATTRIBUTE N623 {0,1,2} @ATTRIBUTE N624 {0,1,2} @ATTRIBUTE N625 {0,1,2} @ATTRIBUTE N626 {0,1,2} @ATTRIBUTE N627 {0,1,2} @ATTRIBUTE N628 {0,1,2} @ATTRIBUTE N629 {0,1,2} @ATTRIBUTE N630 {0,1,2} @ATTRIBUTE N631 {0,1,2} @ATTRIBUTE N632 {0,1,2} @ATTRIBUTE N633 {0,1,2} @ATTRIBUTE N634 {0,1,2} @ATTRIBUTE N635 {0,1,2} @ATTRIBUTE N636 {0,1,2} @ATTRIBUTE N637 {0,1,2} @ATTRIBUTE N638 {0,1,2} @ATTRIBUTE N639 {0,1,2} @ATTRIBUTE N640 {0,1,2} @ATTRIBUTE N641 {0,1,2} @ATTRIBUTE N642 {0,1,2} @ATTRIBUTE N643 {0,1,2} @ATTRIBUTE N644 {0,1,2} @ATTRIBUTE N645 {0,1,2} @ATTRIBUTE N646 {0,1,2} @ATTRIBUTE N647 {0,1,2} @ATTRIBUTE N648 {0,1,2} @ATTRIBUTE N649 {0,1,2} @ATTRIBUTE N650 {0,1,2} @ATTRIBUTE N651 {0,1,2} @ATTRIBUTE N652 {0,1,2} @ATTRIBUTE N653 {0,1,2} @ATTRIBUTE N654 {0,1,2} @ATTRIBUTE N655 {0,1,2} @ATTRIBUTE N656 {0,1,2} @ATTRIBUTE N657 {0,1,2} @ATTRIBUTE N658 {0,1,2} @ATTRIBUTE N659 {0,1} @ATTRIBUTE N660 {0,1,2} @ATTRIBUTE N661 {0,1,2} @ATTRIBUTE N662 {0,1,2} @ATTRIBUTE N663 {0,1,2} @ATTRIBUTE N664 {0,1,2} @ATTRIBUTE N665 {0,1,2} @ATTRIBUTE N666 {0,1,2} @ATTRIBUTE N667 {0,1,2} @ATTRIBUTE N668 {0,1,2} @ATTRIBUTE N669 {0,1,2} @ATTRIBUTE N670 {0,1,2} @ATTRIBUTE N671 {0,1,2} @ATTRIBUTE N672 {0,1,2} @ATTRIBUTE N673 {0,1,2} @ATTRIBUTE N674 {0,1,2} @ATTRIBUTE N675 {0,1,2} @ATTRIBUTE N676 {0,1,2} @ATTRIBUTE N677 {0,1,2} @ATTRIBUTE N678 {0,1,2} @ATTRIBUTE N679 {0,1,2} @ATTRIBUTE N680 {0,1,2} @ATTRIBUTE N681 {0,1,2} @ATTRIBUTE N682 {0,1,2} @ATTRIBUTE N683 {0,1,2} @ATTRIBUTE N684 {0,1,2} @ATTRIBUTE N685 {0,1,2} @ATTRIBUTE N686 {0,1,2} @ATTRIBUTE N687 {0,1,2} @ATTRIBUTE N688 {0,1,2} @ATTRIBUTE N689 {0,1,2} @ATTRIBUTE N690 {0,1,2} @ATTRIBUTE N691 {0,1,2} @ATTRIBUTE N692 {0,1,2} @ATTRIBUTE N693 {0,1,2} @ATTRIBUTE N694 {0,1,2} @ATTRIBUTE N695 {0,1,2} @ATTRIBUTE N696 {0,1,2} @ATTRIBUTE N697 {0,1,2} @ATTRIBUTE N698 {0,1,2} @ATTRIBUTE N699 {0,1,2} @ATTRIBUTE N700 {0,1,2} @ATTRIBUTE N701 {0,1,2} @ATTRIBUTE N702 {0,1,2} @ATTRIBUTE N703 {0,1,2} @ATTRIBUTE N704 {0,1,2} @ATTRIBUTE N705 {0,1,2} @ATTRIBUTE N706 {0,1,2} @ATTRIBUTE N707 {0,1,2} @ATTRIBUTE N708 {0,1,2} @ATTRIBUTE N709 {0,1,2} @ATTRIBUTE N710 {0,1,2} @ATTRIBUTE N711 {0,1,2} @ATTRIBUTE N712 {0,1,2} @ATTRIBUTE N713 {0,1,2} @ATTRIBUTE N714 {0,1,2} @ATTRIBUTE N715 {0,1,2} @ATTRIBUTE N716 {0,1,2} @ATTRIBUTE N717 {0,1,2} @ATTRIBUTE N718 {0,1,2} @ATTRIBUTE N719 {0,1,2} @ATTRIBUTE N720 {0,1,2} @ATTRIBUTE N721 {0,1,2} @ATTRIBUTE N722 {0,1,2} @ATTRIBUTE N723 {0,1,2} @ATTRIBUTE N724 {0,1} @ATTRIBUTE N725 {0,1} @ATTRIBUTE N726 {0,1,2} @ATTRIBUTE N727 {0,1,2} @ATTRIBUTE N728 {0,1,2} @ATTRIBUTE N729 {0,1,2} @ATTRIBUTE N730 {0,1,2} @ATTRIBUTE N731 {0,1,2} @ATTRIBUTE N732 {0,1,2} @ATTRIBUTE N733 {0,1,2} @ATTRIBUTE N734 {0,1,2} @ATTRIBUTE N735 {0,1,2} @ATTRIBUTE N736 {0,1,2} @ATTRIBUTE N737 {0,1,2} @ATTRIBUTE N738 {0,1,2} @ATTRIBUTE N739 {0,1,2} @ATTRIBUTE N740 {0,1,2} @ATTRIBUTE N741 {0,1,2} @ATTRIBUTE N742 {0,1,2} @ATTRIBUTE N743 {0,1,2} @ATTRIBUTE N744 {0,1,2} @ATTRIBUTE N745 {0,1,2} @ATTRIBUTE N746 {0,1,2} @ATTRIBUTE N747 {0,1,2} @ATTRIBUTE N748 {0,1,2} @ATTRIBUTE N749 {0,1,2} @ATTRIBUTE N750 {0,1,2} @ATTRIBUTE N751 {0,1,2} @ATTRIBUTE N752 {0,1,2} @ATTRIBUTE N753 {0,1,2} @ATTRIBUTE N754 {0,1,2} @ATTRIBUTE N755 {0,1,2} @ATTRIBUTE N756 {0,1,2} @ATTRIBUTE N757 {0,1,2} @ATTRIBUTE N758 {0,1,2} @ATTRIBUTE N759 {0,1,2} @ATTRIBUTE N760 {0,1,2} @ATTRIBUTE N761 {0,1,2} @ATTRIBUTE N762 {0,1,2} @ATTRIBUTE N763 {0,1,2} @ATTRIBUTE N764 {0,1,2} @ATTRIBUTE N765 {0,1,2} @ATTRIBUTE N766 {0,1,2} @ATTRIBUTE N767 {0,1,2} @ATTRIBUTE N768 {0,1,2} @ATTRIBUTE N769 {0,1,2} @ATTRIBUTE N770 {0,1,2} @ATTRIBUTE N771 {0,1,2} @ATTRIBUTE N772 {0,1,2} @ATTRIBUTE N773 {0,1,2} @ATTRIBUTE N774 {0,1,2} @ATTRIBUTE N775 {0,1,2} @ATTRIBUTE N776 {0,1,2} @ATTRIBUTE N777 {0,1,2} @ATTRIBUTE N778 {0,1,2} @ATTRIBUTE N779 {0,1,2} @ATTRIBUTE N780 {0,1,2} @ATTRIBUTE N781 {0,1,2} @ATTRIBUTE N782 {0,1,2} @ATTRIBUTE N783 {0,1,2} @ATTRIBUTE N784 {0,1,2} @ATTRIBUTE N785 {0,1,2} @ATTRIBUTE N786 {0,1,2} @ATTRIBUTE N787 {0,1,2} @ATTRIBUTE N788 {0,1,2} @ATTRIBUTE N789 {0,1,2} @ATTRIBUTE N790 {0,1,2} @ATTRIBUTE N791 {0,1,2} @ATTRIBUTE N792 {0,1,2} @ATTRIBUTE N793 {0,1,2} @ATTRIBUTE N794 {0,1,2} @ATTRIBUTE N795 {0,1,2} @ATTRIBUTE N796 {0,1,2} @ATTRIBUTE N797 {0,1,2} @ATTRIBUTE N798 {0,1,2} @ATTRIBUTE N799 {0,1,2} @ATTRIBUTE N800 {0,1,2} @ATTRIBUTE N801 {0,1,2} @ATTRIBUTE N802 {0,1,2} @ATTRIBUTE N803 {0,1} @ATTRIBUTE N804 {0,1,2} @ATTRIBUTE N805 {0,1,2} @ATTRIBUTE N806 {0,1,2} @ATTRIBUTE N807 {0,1,2} @ATTRIBUTE N808 {0,1,2} @ATTRIBUTE N809 {0,1,2} @ATTRIBUTE N810 {0,1,2} @ATTRIBUTE N811 {0,1,2} @ATTRIBUTE N812 {0,1,2} @ATTRIBUTE N813 {0,1,2} @ATTRIBUTE N814 {0,1,2} @ATTRIBUTE N815 {0,1,2} @ATTRIBUTE N816 {0,1,2} @ATTRIBUTE N817 {0,1,2} @ATTRIBUTE N818 {0,1,2} @ATTRIBUTE N819 {0,1,2} @ATTRIBUTE N820 {0,1,2} @ATTRIBUTE N821 {0,1,2} @ATTRIBUTE N822 {0,1,2} @ATTRIBUTE N823 {0,1,2} @ATTRIBUTE N824 {0,1,2} @ATTRIBUTE N825 {0,1,2} @ATTRIBUTE N826 {0,1,2} @ATTRIBUTE N827 {0,1,2} @ATTRIBUTE N828 {0,1,2} @ATTRIBUTE N829 {0,1,2} @ATTRIBUTE N830 {0,1,2} @ATTRIBUTE N831 {0,1,2} @ATTRIBUTE N832 {0,1,2} @ATTRIBUTE N833 {0,1,2} @ATTRIBUTE N834 {0,1,2} @ATTRIBUTE N835 {0,1} @ATTRIBUTE N836 {0,1,2} @ATTRIBUTE N837 {0,1,2} @ATTRIBUTE N838 {0,1,2} @ATTRIBUTE N839 {0,1,2} @ATTRIBUTE N840 {0,1,2} @ATTRIBUTE N841 {0,1,2} @ATTRIBUTE N842 {0,1,2} @ATTRIBUTE N843 {0,1,2} @ATTRIBUTE N844 {0,1,2} @ATTRIBUTE N845 {0,1,2} @ATTRIBUTE N846 {0,1,2} @ATTRIBUTE N847 {0,1,2} @ATTRIBUTE N848 {0,1,2} @ATTRIBUTE N849 {0,1,2} @ATTRIBUTE N850 {0,1,2} @ATTRIBUTE N851 {0,1,2} @ATTRIBUTE N852 {0,1,2} @ATTRIBUTE N853 {0,1,2} @ATTRIBUTE N854 {0,1,2} @ATTRIBUTE N855 {0,1,2} @ATTRIBUTE N856 {0,1,2} @ATTRIBUTE N857 {0,1,2} @ATTRIBUTE N858 {0,1,2} @ATTRIBUTE N859 {0,1,2} @ATTRIBUTE N860 {0,1,2} @ATTRIBUTE N861 {0,1,2} @ATTRIBUTE N862 {0,1,2} @ATTRIBUTE N863 {0,1,2} @ATTRIBUTE N864 {0,1,2} @ATTRIBUTE N865 {0,1,2} @ATTRIBUTE N866 {0,1,2} @ATTRIBUTE N867 {0,1,2} @ATTRIBUTE N868 {0,1,2} @ATTRIBUTE N869 {0,1,2} @ATTRIBUTE N870 {0,1,2} @ATTRIBUTE N871 {0,1,2} @ATTRIBUTE N872 {0,1,2} @ATTRIBUTE N873 {0,1,2} @ATTRIBUTE N874 {0,1,2} @ATTRIBUTE N875 {0,1,2} @ATTRIBUTE N876 {0,1,2} @ATTRIBUTE N877 {0,1,2} @ATTRIBUTE N878 {0,1,2} @ATTRIBUTE N879 {0,1,2} @ATTRIBUTE N880 {0,1,2} @ATTRIBUTE N881 {0,1,2} @ATTRIBUTE N882 {0,1,2} @ATTRIBUTE N883 {0,1,2} @ATTRIBUTE N884 {0,1,2} @ATTRIBUTE N885 {0,1,2} @ATTRIBUTE N886 {0,1,2} @ATTRIBUTE N887 {0,1,2} @ATTRIBUTE N888 {0,1,2} @ATTRIBUTE N889 {0,1,2} @ATTRIBUTE N890 {0,1,2} @ATTRIBUTE N891 {0,1,2} @ATTRIBUTE N892 {0,1,2} @ATTRIBUTE N893 {0,1,2} @ATTRIBUTE N894 {0,1,2} @ATTRIBUTE N895 {0,1,2} @ATTRIBUTE N896 {0,1,2} @ATTRIBUTE N897 {0,1,2} @ATTRIBUTE N898 {0,1,2} @ATTRIBUTE N899 {0,1,2} @ATTRIBUTE N900 {0,1,2} @ATTRIBUTE N901 {0,1,2} @ATTRIBUTE N902 {0,1,2} @ATTRIBUTE N903 {0,1,2} @ATTRIBUTE N904 {0,1,2} @ATTRIBUTE N905 {0,1,2} @ATTRIBUTE N906 {0,1,2} @ATTRIBUTE N907 {0,1,2} @ATTRIBUTE N908 {0,1} @ATTRIBUTE N909 {0,1,2} @ATTRIBUTE N910 {0,1,2} @ATTRIBUTE N911 {0,1,2} @ATTRIBUTE N912 {0,1,2} @ATTRIBUTE N913 {0,1,2} @ATTRIBUTE N914 {0,1,2} @ATTRIBUTE N915 {0,1} @ATTRIBUTE N916 {0,1,2} @ATTRIBUTE N917 {0,1,2} @ATTRIBUTE N918 {0,1,2} @ATTRIBUTE N919 {0,1,2} @ATTRIBUTE N920 {0,1,2} @ATTRIBUTE N921 {0,1,2} @ATTRIBUTE N922 {0,1,2} @ATTRIBUTE N923 {0,1,2} @ATTRIBUTE N924 {0,1,2} @ATTRIBUTE N925 {0,1,2} @ATTRIBUTE N926 {0,1,2} @ATTRIBUTE N927 {0,1} @ATTRIBUTE N928 {0,1,2} @ATTRIBUTE N929 {0,1,2} @ATTRIBUTE N930 {0,1,2} @ATTRIBUTE N931 {0,1,2} @ATTRIBUTE N932 {0,1,2} @ATTRIBUTE N933 {0,1,2} @ATTRIBUTE N934 {0,1,2} @ATTRIBUTE N935 {0,1,2} @ATTRIBUTE N936 {0,1,2} @ATTRIBUTE N937 {0,1,2} @ATTRIBUTE N938 {0,1,2} @ATTRIBUTE N939 {0,1,2} @ATTRIBUTE N940 {0,1,2} @ATTRIBUTE N941 {0,1,2} @ATTRIBUTE N942 {0,1,2} @ATTRIBUTE N943 {0,1,2} @ATTRIBUTE N944 {0,1,2} @ATTRIBUTE N945 {0,1,2} @ATTRIBUTE N946 {0,1,2} @ATTRIBUTE N947 {0,1,2} @ATTRIBUTE N948 {0,1,2} @ATTRIBUTE N949 {0,1,2} @ATTRIBUTE N950 {0,1,2} @ATTRIBUTE N951 {0,1,2} @ATTRIBUTE N952 {0,1,2} @ATTRIBUTE N953 {0,1,2} @ATTRIBUTE N954 {0,1,2} @ATTRIBUTE N955 {0,1,2} @ATTRIBUTE N956 {0,1,2} @ATTRIBUTE N957 {0,1,2} @ATTRIBUTE N958 {0,1,2} @ATTRIBUTE N959 {0,1,2} @ATTRIBUTE N960 {0,1,2} @ATTRIBUTE N961 {0,1,2} @ATTRIBUTE N962 {0,1,2} @ATTRIBUTE N963 {0,1,2} @ATTRIBUTE N964 {0,1,2} @ATTRIBUTE N965 {0,1,2} @ATTRIBUTE N966 {0,1,2} @ATTRIBUTE N967 {0,1} @ATTRIBUTE N968 {0,1,2} @ATTRIBUTE N969 {0,1,2} @ATTRIBUTE N970 {0,1,2} @ATTRIBUTE N971 {0,1,2} @ATTRIBUTE N972 {0,1,2} @ATTRIBUTE N973 {0,1,2} @ATTRIBUTE N974 {0,1,2} @ATTRIBUTE N975 {0,1,2} @ATTRIBUTE N976 {0,1,2} @ATTRIBUTE N977 {0,1,2} @ATTRIBUTE N978 {0,1,2} @ATTRIBUTE N979 {0,1,2} @ATTRIBUTE N980 {0,1,2} @ATTRIBUTE N981 {0,1,2} @ATTRIBUTE N982 {0,1,2} @ATTRIBUTE N983 {0,1,2} @ATTRIBUTE N984 {0,1,2} @ATTRIBUTE N985 {0,1,2} @ATTRIBUTE N986 {0,1,2} @ATTRIBUTE N987 {0,1,2} @ATTRIBUTE N988 {0,1,2} @ATTRIBUTE N989 {0,1,2} @ATTRIBUTE N990 {0,1,2} @ATTRIBUTE N991 {0,1,2} @ATTRIBUTE N992 {0,1} @ATTRIBUTE N993 {0,1,2} @ATTRIBUTE N994 {0,1,2} @ATTRIBUTE N995 {0,1,2} @ATTRIBUTE N996 {0,1,2} @ATTRIBUTE N997 {0,1,2} @ATTRIBUTE P1 {0,1,2} @ATTRIBUTE P2 {0,1,2} @ATTRIBUTE class {0,1} @DATA 1,0,1,0,0,2,0,0,0,1,1,0,0,2,0,1,0,2,1,0,0,0,1,0,0,2,2,1,0,0,1,0,1,2,0,0,1,1,0,0,0,0,1,1,1,0,0,1,0,1,2,1,1,0,1,0,2,1,1,1,0,0,0,2,0,2,1,1,2,1,0,1,0,0,0,0,0,1,0,0,0,0,0,2,1,0,2,0,2,0,0,1,0,0,0,2,0,0,2,0,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,2,2,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,2,0,0,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,1,2,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,1,0,2,2,1,1,1,0,0,0,1,0,0,2,0,1,0,0,1,0,1,0,1,1,0,0,0,2,1,0,1,0,1,1,1,0,1,0,2,1,0,0,0,0,2,1,1,0,0,1,1,0,0,1,0,2,0,0,2,0,1,0,0,1,0,0,1,0,0,1,2,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,2,0,0,1,1,0,2,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,2,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,2,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,2,1,1,0,1,1,0,2,2,0,0,1,0,1,0,1,0,1,0,0,2,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,2,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0,2,2,1,0,1,0,0,1,1,0,1,0,1,2,0,1,0,2,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,2,1,1,1,0,1,0,0,2,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,1,1,2,2,0,1,0,0,2,1,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,1,1,0,1,2,0,1,2,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,2,1,0,1,0,2,0,0,0,0,1,1,1,1,1,0,1,0,0,1,2,0,1,0,0,1,0,2,0,1,0,1,0,0,0,1,0,2,2,1,0,0,1,0,1,0,0,0,1,0,0,0,2,0,0,0,2,0,0,0,1,0,2,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,0,1,2,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,1,0,1,1,1,1,0,0,1,2,2,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,1,1,1,1,2,1,0,2,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,1,2,0,2,1,0,0,1,1,1,0,1,1,0,0,1,0,1,2,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1 0,0,1,2,0,0,0,0,1,1,2,1,0,2,1,1,0,1,1,0,0,1,0,1,1,0,2,2,1,2,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,2,1,1,1,0,0,1,0,0,0,0,2,1,1,0,0,1,2,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,2,1,2,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,1,2,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,1,0,1,1,0,1,0,1,0,0,1,0,0,2,0,1,1,1,1,0,2,0,1,1,0,1,1,0,0,0,0,1,1,0,2,0,0,0,1,0,0,1,0,0,1,0,0,0,2,1,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0,0,1,0,1,0,2,0,0,1,1,1,2,1,0,0,0,1,0,0,1,1,0,0,1,1,2,0,0,0,1,1,1,0,2,1,0,2,0,1,0,0,0,1,0,1,0,1,2,1,0,0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,2,0,0,1,0,1,0,1,1,1,1,0,1,0,1,0,1,1,0,2,0,1,1,0,1,0,0,1,0,1,0,1,1,0,1,2,0,0,0,1,1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,2,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,1,2,1,0,0,0,2,1,0,0,0,0,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,2,0,2,0,0,1,1,0,2,0,0,0,0,0,1,0,0,1,2,1,0,1,0,1,1,1,1,1,0,1,0,0,1,1,2,1,1,0,0,1,0,2,1,0,0,1,1,0,2,1,1,0,0,1,0,0,0,2,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,2,0,1,0,0,0,2,0,0,2,1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,2,2,1,1,0,0,1,0,0,0,0,1,1,0,2,0,2,0,1,0,0,1,1,1,1,0,0,0,1,0,2,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,1,1,0,2,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,1,2,2,0,0,0,1,0,1,1,0,1,0,2,0,0,0,0,1,1,1,1,0,2,0,0,0,0,1,1,0,1,0,0,0,1,1,0,0,2,0,1,1,1,0,0,0,0,2,2,0,1,0,0,0,2,0,1,0,1,0,2,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,1,1,1,1,1,1,1,0,1,2,0,0,0,1,0,0,1,1,0,0,2,0,0,0,0,2,1,2,2,0,1,0,0,1,0,1,1,0,2,0,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,1,1,2,0,1,0,1,0,1,1,2,1,0,0,1,0,0,0,0,0,0,1,0,0,1,2,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,2,0,1,0,0,1,0,0,1,0,2,0,1,0,0,1,0,1,1,1,0,0,2,0,0,1,1,1,0,2,0,0,1,2,2,2,1,0,0,2,2,0,0,1,0,0,1,2,0,0,0,1,2,0,0,2,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,2,0,0,1,0,0,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0,0,2,0,0,0,2,0,1,2,1,0,1,0,1,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,1,2,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,1,0,1,1,0,0,2,0,0,1,0,1,0,0,1,0,0,0,2,0,0,1,0,0,0,1,1,2,0,0,1,0,1,1,0,0,2,0,2,0,1,1,0,1,0,1,0,1,2,1,0,0,2,0,0,0,0,0,1,1,0,1,1 1,0,0,1,1,0,1,0,0,2,1,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,2,1,0,1,0,1,0,0,0,2,2,0,0,0,0,0,0,1,2,2,0,0,0,0,0,1,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,1,1,1,1,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,2,0,1,0,0,0,0,0,1,1,0,1,2,2,1,2,1,1,1,1,1,0,0,0,1,2,0,0,0,1,0,1,0,0,1,0,2,0,1,0,1,0,1,1,1,1,1,0,2,1,0,0,2,1,0,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,1,2,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,1,2,2,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,2,0,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1,1,1,2,0,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,1,2,0,0,0,2,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,1,0,1,0,1,2,0,0,0,2,0,1,1,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,2,0,0,1,1,0,1,0,1,0,0,1,1,1,2,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0,2,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,2,0,0,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,2,0,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,1,0,1,0,1,2,0,0,0,2,1,0,2,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,1,2,2,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,2,0,1,1,0,0,1,0,2,0,0,0,1,0,0,1,0,0,0,0,1,0,2,0,1,2,0,1,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,1,0,1,0,2,1,0,0,1,1,0,1,1,0,1,0,2,0,1,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,2,0,1,0,0,2,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,2,0,0,0,0,1,1,1,2,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,1,1,1,1,2,0,0,0,2,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,1,1,2,0,2,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,2,1,0,0,0,0,0,1,0,2,1,1,2,0,1,1,0,0,0,1,0,0,1,2,0,0,1,1,1,1,1,1,0,0,0,1,1,2,0,0,1,1,0,0,1,0,0,1,0,0,0,2,1,1,0,1,0,0,1,1,0,0,1,0,2,0,0,2,2,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,2,2,2,0,2,0,0,1,2,0,0,2,0,0,0,0,1,0,0,1,0,1,0,0,1,2,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,2,0,0,2,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,1,2,2,1,0,0,1,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,2,1,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,1,1,0,0,0,2,0,0,0,1,0,0,0,0,1,0,0,2,1,0,1 0,0,0,1,0,0,0,2,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,2,1,1,0,1,1,1,2,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0,1,2,0,0,1,0,0,0,0,1,0,0,2,1,1,0,2,0,2,0,0,2,2,0,0,0,0,0,1,1,0,1,0,2,1,1,1,2,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,2,0,0,0,0,1,0,1,0,1,1,0,2,0,1,1,0,0,0,1,0,0,0,0,1,0,0,2,1,0,2,0,2,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,2,0,1,0,1,0,0,1,0,0,0,1,0,1,2,0,0,0,0,0,1,2,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,2,1,0,1,1,0,1,0,0,2,0,1,1,0,0,0,0,1,2,1,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,1,2,1,0,0,2,0,1,1,0,2,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,2,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,0,2,0,1,0,1,0,1,1,0,2,0,1,1,1,0,1,0,1,0,2,0,1,0,1,0,0,1,0,0,1,1,0,2,0,1,1,0,0,1,0,0,2,1,1,0,0,0,1,2,0,1,2,1,0,1,0,0,1,0,0,0,0,0,1,0,2,0,0,1,0,0,0,1,2,0,0,0,0,0,0,1,1,1,0,1,1,0,0,1,0,0,1,1,2,0,1,0,1,1,1,1,2,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,2,1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,2,0,1,1,0,0,0,1,2,0,0,0,1,1,0,1,1,0,2,0,1,1,1,0,0,0,1,2,0,0,0,0,1,0,1,0,0,0,0,1,1,0,2,0,2,1,1,1,0,0,0,0,1,0,0,1,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,0,1,0,0,1,2,0,1,1,0,2,0,0,1,1,1,0,1,1,1,0,2,0,0,0,2,0,1,0,0,2,1,0,0,0,1,1,0,1,2,0,1,0,0,1,0,0,0,0,0,1,0,1,2,1,1,0,0,2,1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,1,0,2,1,1,0,0,0,0,1,0,1,0,0,1,2,1,0,0,0,1,0,0,0,0,1,2,2,2,1,1,0,0,1,0,2,0,0,0,1,0,1,2,0,1,0,0,1,0,0,2,1,1,1,0,0,0,2,1,0,1,0,0,1,0,1,1,1,2,2,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,2,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,2,1,0,0,0,1,1,0,0,1,0,1,0,0,0,2,1,0,1,2,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,0,2,0,0,0,0,0,1,0,0,0,0,1,1,1,0,2,0,0,0,2,0,0,1,0,0,2,0,0,1,2,2,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,0,2,1,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,2,0,0,1,0,1,1,0,2,2,0,1,0,0,0,0,1,0,2,1,2,2,0,0,1,0,0,1,0,0,0,0,0,1,0,1,2,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,1,0,1,1 2,0,0,0,0,0,1,1,0,1,1,2,0,1,1,1,0,0,1,0,0,0,0,1,2,1,2,1,0,1,0,0,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,2,0,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,2,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,2,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,1,2,1,0,0,2,2,0,0,2,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,1,1,0,0,1,2,1,1,0,0,0,1,0,1,0,0,0,0,0,1,2,0,1,1,2,1,0,2,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,2,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,2,0,1,0,0,0,1,1,0,0,1,1,0,1,1,1,1,2,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,2,1,0,0,0,0,1,1,1,2,0,1,0,0,1,2,0,0,1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,2,0,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0,1,1,1,2,1,1,1,1,1,1,1,1,0,2,0,0,0,0,0,1,0,0,1,0,2,0,0,1,0,0,1,0,1,1,0,2,0,2,0,0,0,0,2,0,0,0,0,0,2,1,1,0,1,0,0,0,1,2,0,0,0,0,0,0,2,0,0,1,1,0,2,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,2,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,1,2,0,0,1,0,1,0,1,0,2,1,0,1,0,1,1,0,0,0,1,1,1,1,0,1,2,0,0,1,2,1,0,2,1,0,0,2,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,1,2,1,1,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,1,1,1,0,1,0,0,0,2,1,0,2,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,2,2,0,0,1,2,0,1,1,1,0,1,0,0,0,1,0,2,0,0,0,1,1,0,1,2,0,0,1,0,0,1,0,0,0,2,1,0,0,2,1,0,0,2,0,0,0,0,1,0,0,1,0,1,0,1,2,1,0,2,0,0,1,0,0,0,1,0,2,0,0,2,2,2,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,2,0,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,2,1,0,0,0,2,0,0,0,2,2,2,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,1,2,0,0,1,0,1,0,1,1,0,0,0,0,1,1,2,0,0,0,0,0,1,1,1,2,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1 1,0,0,0,0,1,1,0,2,2,0,1,0,2,1,1,0,2,0,0,1,0,1,1,0,0,2,2,0,1,2,0,2,2,0,0,1,1,1,0,2,1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,2,1,0,0,1,0,0,2,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,2,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,1,0,2,1,0,1,0,0,1,0,0,1,0,1,0,0,0,2,1,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,2,1,1,1,0,1,0,0,1,0,0,0,1,2,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,1,2,0,0,1,1,0,0,1,0,0,0,2,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,1,0,0,0,0,1,2,0,0,1,1,0,0,0,1,0,0,0,0,1,1,1,0,0,2,0,1,0,2,1,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,1,0,0,1,1,1,1,0,0,2,0,1,0,1,0,1,1,0,2,2,2,2,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,2,0,0,1,0,0,0,0,1,1,2,0,1,0,1,2,1,1,0,1,2,0,2,2,0,0,2,1,1,0,1,2,0,1,2,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,1,1,0,0,0,1,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,2,1,0,1,1,1,0,0,1,0,2,0,1,0,1,1,0,0,0,1,0,2,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,2,1,0,0,0,0,1,2,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,2,0,0,0,0,0,0,1,0,0,2,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,2,0,0,1,0,0,0,0,2,1,1,0,0,2,1,0,1,0,2,0,0,0,2,0,1,0,0,0,0,1,2,1,1,1,1,1,2,2,1,0,0,1,0,0,2,1,0,0,0,1,0,2,1,1,0,0,1,0,1,1,0,0,0,1,0,1,2,0,1,0,0,0,0,1,1,2,2,0,0,1,2,0,0,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,1,1,0,2,0,2,1,0,0,0,0,0,1,1,0,0,0,0,2,2,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,2,1,1,2,0,0,1,0,1,1,2,0,1,1,0,0,0,0,2,0,2,1,2,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,2,1,1,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0,2,0,0,1,1,0,0,1,1,0,1,2,0,0,2,0,1,2,0,1,0,1,0,1,0,0,0,0,0,0,0,2,1,0,1,1,0,0,1,1,2,2,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,2,0,0,1,1,1,1,2,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,2,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,2,1,1,2,1,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,1,1,2,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,1,0,2,1,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0,2,0,0,1,0,0,0,0,2,2,1,0,0,0,0,2,1,0,0,0,0,0,0,1,2,0,0,1,0,1,1,0,0,1,1,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1 1,0,1,1,2,0,1,2,0,0,2,0,0,0,1,2,0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1,1,2,1,0,0,0,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,1,1,2,0,1,0,1,0,0,0,0,1,1,2,0,2,0,0,0,0,1,0,1,1,1,2,0,2,0,0,1,0,0,0,2,0,0,0,1,1,1,0,0,1,0,0,2,1,0,1,1,0,0,0,0,0,1,1,1,0,1,1,2,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0,1,0,1,2,0,0,0,1,1,0,2,1,0,0,0,2,2,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0,2,1,0,1,0,1,0,1,1,0,2,1,0,0,2,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,1,2,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,2,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,2,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0,2,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,2,0,0,1,0,0,0,2,1,2,0,0,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,2,0,1,0,0,1,1,0,0,0,0,2,0,1,0,1,1,0,1,1,0,2,0,0,1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0,1,1,1,1,1,2,0,0,0,1,0,0,1,1,1,0,0,1,0,1,1,1,2,1,1,0,1,2,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,1,0,1,1,0,1,1,0,1,0,2,1,1,0,1,0,1,0,0,0,2,1,1,1,0,0,1,0,2,2,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,1,2,1,1,0,0,0,1,0,2,1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,2,0,0,1,0,1,1,0,0,2,0,1,0,2,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,1,2,0,2,0,0,2,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,2,0,1,2,1,2,0,0,0,2,0,1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,1,2,0,0,0,0,0,1,2,1,0,0,0,0,0,0,2,0,0,0,1,0,0,2,0,0,0,0,1,0,0,1,0,1,0,2,1,0,1,1,1,1,1,1,1,2,0,0,0,1,0,0,1,0,2,1,1,2,0,0,0,1,1,0,0,0,1,2,0,0,1,0,0,1,0,0,2,0,0,0,2,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,2,1,0,2,1,0,0,2,1,0,0,1,0,0,1,0,0,1,0,2,0,0,1,1,1,0,0,1,0,0,2,0,0,0,1,1,1,1,0,0,0,2,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,1,1,1,0,2,1,0,0,1,0,1,1,0,1,1,0,1,0,1,1,2,0,0,1,0,2,0,0,0,1,1,1,0,0,0,0,1,1,0,1,1 1,0,2,1,1,0,0,1,1,0,0,2,0,1,2,0,0,1,0,0,0,0,1,0,1,0,0,1,1,0,2,0,0,0,1,0,1,0,1,0,1,1,0,1,2,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,2,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0,0,2,0,2,1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,1,1,1,1,2,0,2,0,1,0,0,1,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,1,0,2,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,1,0,0,1,0,1,1,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,1,0,1,1,1,0,1,0,2,0,1,0,0,1,0,0,1,1,0,0,0,1,1,2,1,0,1,2,0,0,0,0,2,2,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,2,0,1,2,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0,1,1,2,0,0,0,1,1,0,0,2,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,2,0,0,0,1,0,1,0,0,0,1,0,0,1,2,0,0,1,0,0,0,1,2,0,0,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,2,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,2,1,1,0,0,1,0,2,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0,1,2,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,2,1,1,2,0,2,0,2,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,2,0,1,0,1,1,2,0,0,1,1,0,0,2,0,0,2,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,0,1,1,1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,2,2,0,0,1,0,0,0,0,1,0,1,2,0,0,2,1,0,1,2,1,0,0,1,2,1,1,0,2,2,0,1,1,0,2,1,0,1,0,2,1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,2,0,1,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,1,1,0,0,0,2,0,0,2,0,0,1,1,0,2,0,0,1,0,1,0,2,1,2,0,1,0,0,0,1,0,1,1,1,1,2,1,1,0,1,0,2,0,1,0,0,1,1,2,1,0,1,2,0,0,0,0,1,0,2,1,1,0,0,1,0,0,1,2,0,1,0,1,1,0,1,0,0,0,2,0,0,0,1,0,0,0,1,1,0,2,0,0,1,0,1,0,1,0,1,2,1,1,0,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,2,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,1,1,0,1,1,0,1,0,2,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,2,0,1,1,1,0,1,0,1,1,1,2,0,0,0,0,0,1,0,0,2,0,1,0,0,1,0,1,0,0,2,0,0,1,1,0,0,1,0,0,0,1,0,0,1,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,1,0,0,0,2,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,2,1,0,1,0,1,1,2,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,1,2,1,2,1,0,1,1,0,0,0,1,0,0,0,1,0,0,2,0,0,1,1 1,0,1,2,0,0,1,0,0,0,0,1,0,2,1,0,0,1,0,0,0,2,1,0,2,1,1,1,0,0,1,0,2,0,2,0,1,1,2,1,1,0,0,2,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,1,0,2,1,2,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,2,0,0,1,0,0,0,1,1,2,1,0,0,0,1,2,1,0,1,2,1,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0,1,0,0,2,1,2,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,2,1,0,1,0,1,2,0,1,1,1,1,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,1,0,2,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,1,1,1,2,1,0,1,0,1,1,0,0,1,0,0,2,1,0,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,2,0,1,1,0,0,0,2,0,0,1,0,1,0,0,2,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,2,0,0,1,1,0,0,1,1,0,1,1,1,2,0,0,0,0,0,1,0,1,0,0,1,2,0,0,0,0,0,2,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,1,1,2,0,1,2,2,0,0,0,2,0,0,2,1,1,1,0,0,2,0,1,0,0,0,0,1,2,0,1,0,2,0,0,1,1,0,0,0,0,0,1,0,1,0,1,1,1,1,0,1,0,2,1,1,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,2,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,1,2,0,2,0,1,0,1,0,0,0,1,2,0,0,1,0,0,1,0,0,2,2,0,1,1,0,2,1,0,0,0,1,2,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,2,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,1,2,0,0,0,1,1,0,0,1,0,0,2,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,2,0,0,2,0,1,0,1,1,1,0,0,0,1,0,1,0,2,1,1,1,0,0,1,0,2,0,1,1,0,0,1,1,1,1,1,0,0,1,0,1,2,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,2,1,1,0,1,1,0,2,0,0,0,1,0,1,0,0,0,0,1,2,0,1,1,0,0,1,0,0,2,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,1,2,2,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,1,1,2,0,1,0,1,0,0,1,2,0,0,0,0,0,2,0,0,2,1,1,0,0,2,0,0,2,1,1,0,0,0,1,0,2,1,1,0,0,1,0,0,1,0,2,0,1,0,0,2,1,1,0,0,1,1,0,0,0,1,1,1,0,2,1,1,0,1,0,2,2,2,0,1,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,2,2,1,1,0,0,1,2,1,0,0,1,0,0,1,2,0,0,0,0,1,0,0,0,1,2,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,2,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1 1,0,1,2,0,0,0,1,1,2,2,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,1,1,0,0,2,1,2,0,0,1,1,2,1,0,0,1,2,0,1,0,1,1,0,0,2,0,0,1,1,2,2,1,1,0,2,0,1,1,0,1,0,0,1,0,1,2,1,0,0,0,1,0,1,0,1,0,1,1,2,0,0,0,1,0,1,0,1,1,0,2,1,2,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,1,0,0,0,2,1,1,2,1,1,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,2,1,0,0,0,1,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,2,1,0,1,0,0,1,1,0,2,0,0,0,2,1,1,2,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,1,1,2,0,2,2,1,0,1,1,1,0,0,0,1,2,1,0,0,0,0,2,0,1,0,1,1,1,0,0,0,1,2,0,0,0,2,2,1,0,1,0,0,2,0,0,0,1,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,1,1,2,0,0,1,0,0,2,1,0,0,0,0,0,2,1,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,2,0,0,0,0,1,1,1,0,2,0,0,0,1,2,0,0,0,2,1,0,1,1,0,0,1,0,0,0,0,1,2,1,2,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,2,1,0,0,1,2,1,1,0,1,0,1,2,0,0,0,0,0,1,0,0,2,0,1,0,2,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,2,0,0,1,0,1,1,1,0,2,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,2,0,0,0,1,1,1,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,2,0,0,0,1,0,1,2,2,0,0,1,0,0,1,1,0,0,1,1,0,0,2,0,1,0,0,1,0,1,0,1,0,0,0,0,1,2,1,0,0,2,1,2,1,0,1,2,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0,1,1,2,0,1,0,0,0,0,0,0,0,0,2,0,1,2,0,0,0,1,2,1,0,2,0,0,0,2,1,1,0,0,0,2,1,0,1,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,2,1,1,1,2,0,2,1,1,0,2,0,2,0,0,0,0,0,1,1,2,0,0,1,0,1,1,1,0,0,0,0,0,0,2,0,1,0,1,0,0,0,0,1,0,1,1,1,0,0,0,2,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0,2,0,1,1,0,1,2,1,0,1,0,0,1,2,2,0,0,0,0,1,0,1,1,0,0,0,1,0,0,2,0,1,1,1,0,0,0,2,0,1,0,1,1,0,0,1,1,1,1,0,1,1,1,0,0,1,0,1,1,0,2,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,1,2,0,1,2,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,2,1,0,0,2,0,0,0,0,2,0,0,1,0,0,0,0,1,0,1,2,0,1,0,2,1,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,2,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1 1,0,1,0,0,1,0,1,2,1,2,1,1,1,2,1,0,2,1,0,0,0,0,0,0,0,1,1,0,2,2,0,0,0,1,0,1,1,0,1,2,1,1,2,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,2,1,0,2,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,2,2,1,0,0,0,1,0,1,0,2,0,0,0,1,0,0,0,1,1,0,0,0,0,1,2,1,0,0,1,1,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,1,1,2,0,0,0,0,0,0,0,1,1,1,0,0,0,0,2,1,1,1,0,2,0,1,0,1,1,1,1,1,1,1,2,0,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,1,1,0,1,0,2,0,1,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0,2,0,1,0,1,0,0,1,0,2,0,2,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,0,1,2,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,2,0,2,0,2,0,0,0,0,2,0,0,0,1,1,1,1,1,1,0,1,2,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,0,0,1,2,0,1,1,2,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0,2,0,2,1,0,0,2,0,0,1,0,0,0,1,0,1,0,0,2,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,0,1,0,0,0,2,0,0,0,1,2,0,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,2,0,0,0,1,1,1,2,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,1,0,2,1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,2,0,1,0,0,1,1,1,2,0,0,0,1,0,1,0,1,0,2,1,0,1,1,1,0,1,1,0,1,2,0,0,0,0,0,2,0,2,0,1,1,0,0,1,1,1,0,1,0,1,1,0,2,0,0,0,2,0,0,2,1,1,0,1,1,0,1,0,2,0,1,1,1,0,1,0,0,1,0,0,0,1,0,2,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,2,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,1,0,2,2,0,0,0,0,0,0,1,1,2,0,1,1,0,0,0,1,2,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,1,0,0,1,0,0,1,0,0,2,0,0,1,2,1,1,0,1,1,1,0,2,0,2,2,1,2,0,0,0,1,1,0,0,0,2,1,0,2,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,2,1,0,0,0,1,0,0,1,0,1,0,1,0,0,2,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,2,0,0,0,0,1,2,0,2,0,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0,2,0,0,0,0,0,2,0,0,1,0,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,2,0,0,2,0,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,1 1,0,1,1,2,0,2,0,0,0,2,0,0,1,2,0,1,0,0,0,0,0,1,0,2,1,0,0,0,2,2,0,0,0,0,0,2,1,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,2,0,1,0,0,1,0,0,1,0,0,2,1,1,0,0,1,0,0,1,1,2,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,2,0,0,1,0,0,0,1,0,1,1,0,1,2,1,0,0,1,1,0,1,0,1,0,0,0,1,1,1,0,0,2,0,0,0,0,1,0,1,0,0,1,2,1,0,0,0,2,0,1,0,0,1,0,0,0,1,0,0,0,0,1,1,2,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0,1,0,2,0,0,2,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,2,0,0,1,1,2,0,0,0,2,0,0,0,0,2,0,1,0,0,0,0,0,1,1,0,0,0,0,2,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,2,0,0,1,2,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,2,1,0,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,1,1,2,1,1,0,0,0,1,0,0,0,0,1,2,1,0,1,0,0,1,0,2,0,1,0,2,2,0,0,1,1,0,1,2,1,0,0,1,1,0,0,2,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,1,0,2,0,2,1,1,0,0,0,0,1,1,0,2,0,0,0,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,2,1,2,0,0,2,1,1,1,1,0,0,1,0,0,1,1,0,2,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,2,1,2,1,1,0,1,2,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,2,2,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,2,0,1,1,2,1,0,0,0,0,2,0,1,0,1,0,0,1,0,0,1,0,1,1,0,2,2,0,1,0,1,0,2,1,0,0,1,1,2,1,0,2,1,0,1,1,1,1,0,0,0,0,1,1,2,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,2,0,0,1,0,0,0,0,1,1,2,0,1,1,0,2,0,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,2,0,2,2,1,1,2,2,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,2,1,1,0,1,0,0,0,0,0,0,0,0,1,2,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,2,0,0,1,0,2,1,0,0,0,1,0,1,2,1,1,0,2,0,0,1,0,1,1,1,2,1,1,0,1,0,0,1,0,0,0,0,1,2,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,1,1,0,0,1,0,1,0,0,2,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0,1,2,0,0,0,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,2,1,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,2,0,0,2,0,0,2,0,1,0,0,1,0,1,0,1,0,2,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1 1,0,1,0,0,0,0,0,0,2,2,0,0,2,0,1,0,1,1,0,0,0,0,0,1,1,2,2,0,0,0,0,0,1,0,0,2,0,0,0,1,0,1,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,2,0,1,1,1,0,2,0,0,1,0,1,1,0,0,2,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,2,0,0,1,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,2,1,0,1,0,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,2,0,0,1,1,1,0,0,1,2,1,0,1,0,0,0,0,0,0,0,1,2,0,1,1,0,2,0,1,1,1,1,0,0,0,1,0,0,2,0,0,1,1,0,1,0,0,0,2,0,2,0,1,0,0,0,0,2,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,2,0,0,0,0,0,1,1,2,0,2,0,2,0,1,0,1,1,0,1,1,1,1,1,0,0,2,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,2,0,0,0,1,0,0,0,2,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,1,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,1,2,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,1,0,0,0,0,1,0,0,2,0,0,2,0,0,1,0,0,0,2,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,2,1,0,0,1,0,2,1,0,0,0,0,0,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,2,0,2,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,2,0,1,0,2,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1,1,1,2,1,0,0,1,0,0,1,0,0,0,0,2,1,0,0,1,0,1,1,2,1,0,2,0,0,1,1,1,0,0,1,2,1,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,2,1,1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,2,0,1,0,0,2,0,0,0,0,0,1,2,2,1,1,0,1,2,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,1,0,0,2,0,0,0,0,0,0,0,2,0,1,1,0,0,0,1,0,1,1,1,2,2,1,0,0,0,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,2,0,0,2,2,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,1,1,1,0,2,1,1,0,0,0,0,1,2,0,0,1,0,1,0,0,2,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,2,0,0,1,0,0,1,0,1,1,1,1,0,0,0,2,1,0,0,1,0,1,2,0,2,1,0,0,0,0,0,0,0,0,0,0,2,2,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,2,1,0,1 1,0,1,1,2,1,0,1,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,1,0,1,2,1,2,1,0,0,0,1,0,2,1,0,1,1,1,0,2,2,1,0,2,1,1,2,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,2,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,1,0,1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,1,2,1,0,0,0,1,1,0,0,0,1,2,0,1,1,1,0,1,0,0,1,0,0,1,2,1,2,0,0,0,1,0,1,1,2,1,0,1,0,1,0,1,0,1,0,0,2,0,2,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0,0,0,2,0,1,1,2,1,0,0,0,0,1,2,0,0,0,0,1,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,0,0,2,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,2,0,1,1,0,0,0,0,2,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,1,2,0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,2,1,2,1,0,0,0,0,1,1,1,1,0,0,0,1,2,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,1,0,0,0,1,2,1,1,0,1,1,0,1,1,1,0,0,2,1,1,1,0,1,2,2,0,0,1,0,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,1,1,0,1,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,2,0,0,2,2,1,2,1,2,0,2,0,0,1,2,0,0,0,0,0,1,0,2,1,0,2,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,2,0,1,1,2,1,2,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,2,2,1,1,0,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,2,2,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,2,2,0,0,2,1,1,1,0,0,0,0,1,0,2,0,0,0,1,2,0,0,0,1,0,2,2,1,1,1,0,1,2,0,2,0,1,1,0,1,0,2,0,0,0,0,0,1,0,1,0,1,2,0,0,0,0,0,2,0,0,0,1,0,0,0,2,0,0,0,2,0,0,0,2,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,2,2,0,2,0,1,0,1,0,1,1,2,2,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,0,0,2,1,1,0,1,0,0,2,0,1,1,0,0,1,0,2,0,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,2,0,1,0,0,1,2,0,0,0,0,1,0,1,2,0,2,1,2,0,0,1,0,1,1,0,0,0,1,1,0,2,0,1,1,0,0,1,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,2,0,1,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,2,2,0,0,2,1,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,1,2,1,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,1,1,1,0,1 2,1,1,1,1,0,0,1,0,2,0,0,1,1,1,0,1,1,0,0,0,0,2,0,1,1,2,2,0,2,0,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,2,2,2,0,1,2,0,1,0,0,1,0,1,1,1,0,0,0,1,2,0,0,0,0,0,0,2,0,0,1,1,1,2,1,0,0,0,0,1,1,0,2,0,2,0,1,1,1,1,0,2,0,0,0,0,1,2,0,0,0,0,2,0,0,0,0,1,0,2,0,2,2,2,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,2,1,0,0,0,0,0,2,0,0,0,0,2,0,0,0,1,0,1,0,2,0,0,0,1,1,0,0,1,2,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,2,0,0,2,0,2,0,0,0,0,1,0,0,0,2,2,0,1,1,2,0,0,1,1,0,1,0,1,0,0,2,0,1,0,0,0,1,1,0,0,2,1,0,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,1,1,2,0,0,2,0,1,1,0,0,0,1,2,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,2,0,1,1,0,0,1,0,0,0,1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,1,2,0,1,0,0,1,0,1,1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,2,1,0,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0,2,1,2,0,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,2,2,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,2,0,0,1,0,2,0,0,0,0,0,0,1,1,0,0,0,1,0,2,0,0,0,2,0,0,0,1,0,1,1,0,0,0,0,1,0,0,2,2,0,1,0,0,0,1,0,0,0,2,0,0,0,0,1,0,2,2,1,0,0,0,0,0,0,1,0,0,0,2,1,1,0,0,1,0,1,0,2,2,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,1,0,0,1,1,1,1,1,0,1,0,2,2,0,0,1,0,1,0,2,1,1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,2,0,0,1,1,0,1,0,2,1,1,0,0,0,1,0,1,0,1,0,2,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,2,0,2,0,2,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,2,1,0,1,1,0,0,1,0,0,0,0,2,1,0,1,1,0,0,0,0,1,1,0,2,0,0,1,0,0,1,0,0,0,0,0,2,0,1,1,1,0,1,0,1,1,0,0,0,2,0,0,2,1,1,1,1,0,0,2,0,1,0,1,1,0,0,0,1,1,0,0,2,0,2,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,1,2,0,0,2,0,0,1,2,1,0,1,0,0,1,0,0,2,0,1,0,0,0,2,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,2,1,0,0,0,2,0,2,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,2,1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,2,0,0,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,2,1,1,1,0,0,1 0,0,2,2,0,0,1,1,0,2,1,1,0,1,2,0,1,0,2,0,0,1,1,0,0,1,0,2,0,0,2,0,0,1,0,0,1,2,2,0,0,1,1,2,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,2,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,2,0,0,0,1,1,1,0,0,1,0,0,1,0,0,2,0,2,2,0,0,1,1,1,0,1,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,1,2,2,0,0,2,0,0,0,0,1,0,2,0,0,2,2,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,1,0,2,0,0,0,0,0,2,0,1,0,0,1,0,1,0,0,1,1,2,0,0,0,2,1,0,0,1,1,0,1,0,0,2,0,0,0,0,0,1,0,0,0,2,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,2,0,0,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,0,1,1,1,2,1,2,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,1,2,0,1,1,0,0,0,0,2,1,0,0,2,0,1,1,1,0,0,0,2,1,2,0,0,2,0,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,2,2,0,0,0,1,1,0,0,1,0,0,1,0,2,0,0,1,2,0,1,1,1,0,0,2,1,1,1,0,2,1,1,1,0,1,0,0,1,1,0,0,0,0,2,0,0,0,1,1,0,0,0,0,1,1,1,1,1,2,1,1,0,1,1,1,1,0,2,1,1,0,1,0,2,0,1,1,0,1,1,0,0,2,2,0,1,2,0,1,0,1,1,0,1,0,0,0,1,2,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,2,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,2,0,1,0,1,0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,2,0,1,0,1,1,1,2,2,0,1,0,0,0,1,2,2,0,1,1,0,0,2,1,0,0,0,0,0,2,0,0,0,1,1,0,1,1,1,0,0,1,1,1,1,1,2,0,0,1,0,0,1,2,1,0,0,0,1,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,2,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,2,1,0,2,0,1,1,0,0,0,0,0,1,0,2,0,1,0,0,0,0,1,0,1,2,1,0,0,1,2,0,0,0,0,2,0,0,1,1,1,0,1,0,1,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,2,1,2,2,0,1,1,2,0,0,0,0,0,2,1,1,2,1,0,1,1,2,0,0,2,0,1,0,0,2,0,0,0,1,0,0,0,0,1,0,0,2,0,1,1,0,0,1,1,0,0,2,0,1,0,2,1,2,2,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,2,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,1,2,0,1,2,0,0,0,1,0,1,2,0,1,0,2,0,0,2,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,2,0,0,2,1,0,0,0,2,0,1,0,0,0,0,1,2,2,2,0,1,0,2,0,0,1,2,1,0,0,0,1,0,0,0,0,1,1,0,1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,2,0,2,0,0,2,0,0,2,0,1,1,1,1,0,0,2,0,1,0,1,0,1,0,1,0,0,0,2,0,0,1,1,1,0,1,0,1 0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0,2,0,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,2,0,1,0,0,0,2,1,1,1,0,0,0,0,0,1,0,2,1,0,0,0,1,0,2,0,1,1,0,1,0,2,1,1,0,1,1,0,0,0,0,0,1,1,1,2,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,2,0,2,1,0,0,1,0,1,0,2,2,1,0,0,0,0,0,0,0,0,1,0,1,0,2,0,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0,1,2,1,1,0,2,0,0,1,0,0,1,0,0,1,0,2,1,0,0,1,0,1,2,1,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,2,2,1,0,0,0,0,1,0,0,1,0,0,1,0,1,1,1,2,0,2,2,1,0,0,0,1,0,0,1,1,0,1,1,2,0,1,0,0,0,0,0,0,1,1,0,0,2,2,1,0,1,1,1,1,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,2,1,0,1,0,1,2,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,2,0,2,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,2,1,0,0,0,2,1,0,1,0,1,0,0,0,0,1,0,0,1,2,1,0,1,0,0,0,1,0,0,0,0,0,2,0,0,1,1,1,1,2,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,1,1,1,1,0,0,1,0,1,0,0,1,2,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,2,0,1,0,0,0,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,2,2,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,2,2,1,2,2,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,2,0,0,2,1,0,1,1,0,0,0,1,0,2,0,0,0,1,0,0,2,1,1,1,1,0,1,1,1,2,0,1,2,0,0,2,0,0,0,0,0,0,0,1,0,2,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,1,1,1,0,0,0,0,0,2,0,0,1,0,2,0,2,0,1,0,1,1,0,0,0,0,2,1,1,1,2,2,0,0,0,1,2,1,0,0,1,2,0,1,0,0,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,1,2,0,0,0,1,1,0,2,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,1,1,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,1,2,2,0,0,1,2,1,0,0,0,1,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0,1,1,0,2,1,1,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,2,0,0,1,0,0,1,1,0,1,1,2,0,1,0,0,0,0,0,0,2,1,0,1,0,1,2,0,0,1,1,2,0,0,2,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,2,0,0,2,0,0,1,0,0,0,2,1,0,1,0,0,0,2,2,0,0,1,0,0,0,0,0,1,0,2,0,1,1 0,0,0,1,2,0,0,0,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,1,1,2,0,0,0,0,1,1,1,0,0,0,0,1,0,2,0,0,0,0,1,0,1,0,0,1,0,1,2,0,1,0,1,1,1,0,0,0,0,0,1,0,0,2,0,1,0,1,0,0,0,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,2,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,2,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,2,0,1,1,0,0,0,0,0,1,1,2,0,0,1,0,0,0,0,2,0,1,1,0,0,1,0,1,0,0,2,0,1,0,1,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,2,0,0,0,1,2,0,2,1,1,0,1,1,0,2,1,1,0,0,1,0,0,0,0,0,2,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,1,2,0,1,0,0,0,2,0,0,0,0,0,2,0,0,1,0,0,0,1,0,1,1,0,1,0,2,2,1,1,0,0,0,0,2,0,0,0,0,0,2,1,1,0,2,1,0,1,0,0,1,1,0,0,2,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,2,1,0,1,0,2,0,0,1,0,2,0,0,1,0,0,0,0,1,0,0,0,1,0,2,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,2,1,0,0,0,0,0,2,0,0,1,2,0,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,2,0,1,2,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,2,0,1,0,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,0,1,1,1,0,2,1,2,1,0,0,2,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,2,1,0,0,0,2,0,1,1,0,0,1,1,0,0,0,0,0,0,0,1,2,1,0,1,1,0,1,0,0,0,1,0,0,2,0,2,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,2,2,1,0,1,0,0,1,0,0,1,0,1,0,2,1,0,1,0,0,0,1,1,0,0,2,0,1,0,0,0,0,1,1,0,0,1,0,0,1,1,2,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,1,2,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,2,1,1,0,0,1,2,2,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,2,0,0,1,0,2,2,0,1,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,0,1,0,0,0,2,0,1,0,0,1,0,0,0,1,0,1,0,2,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,2,1,0,2,0,0,0,2,0,0,0,0,1,1,1,2,1,0,0,0,2,1,0,1,1,1,1,0,0,0,0,1,2,0,2,0,2,0,2,2,0,1,0,0,1,1,1,1,0,1,1,1,0,0,0,2,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,2,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,2,0,0,0,2,0,0,1,2,1,1,0,1,0,2,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,1,0,0,1 1,0,1,1,0,0,1,2,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,0,2,0,1,0,0,1,1,0,0,0,2,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0,2,0,1,0,0,0,1,1,1,0,1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,1,1,1,1,2,1,0,1,0,0,2,0,1,1,0,2,1,0,1,1,2,0,0,1,0,0,0,1,1,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,0,1,2,0,1,0,1,0,0,0,2,0,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,2,0,0,1,1,2,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,2,0,0,0,2,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0,1,1,2,0,2,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,2,0,0,0,0,1,2,0,2,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,2,0,2,1,0,0,0,1,0,1,0,0,0,2,0,0,1,0,2,1,1,0,1,1,0,0,1,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,2,1,1,1,0,0,0,1,0,1,0,1,0,1,2,0,0,1,0,0,0,0,1,1,0,1,2,0,1,2,0,2,1,0,0,1,2,0,1,0,0,0,0,0,1,0,1,0,1,2,0,0,0,1,1,0,0,0,1,1,1,2,1,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,2,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,2,0,1,0,1,0,0,0,1,1,2,0,0,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,2,0,2,0,2,1,0,1,0,0,0,1,1,1,1,1,1,0,2,0,0,2,0,0,0,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,2,1,0,1,1,2,1,0,2,1,2,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,2,0,1,0,1,1,0,1,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,2,1,1,0,1,0,2,0,0,0,2,1,0,2,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,2,1,0,0,2,0,0,0,1,0,0,0,2,0,0,0,0,2,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,2,0,0,0,0,1,1,0,0,0,0,2,1,1,1,1,1,1,2,2,1,1,1,1,0,0,2,1,0,1,0,1,1,1,0,0,2,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,2,1,0,1,1,0,0,0,2,1,0,1,0,0,1,0,0,2,0,0,0,1,0,0,1,0,1,0,1,2,0,0,0,1,1,2,0,0,1,0,0,0,1,1,1,0,0,0,0,1,1,2,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,2,2,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,2,1,0,0,1,0,2,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1 2,0,0,1,2,0,0,2,1,0,1,2,1,1,2,0,0,0,1,0,0,0,0,1,0,1,1,2,1,1,1,0,1,1,1,0,1,0,0,0,0,2,1,0,1,0,0,1,0,2,0,1,1,0,1,0,1,0,2,1,0,0,1,1,0,2,0,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,2,0,0,1,2,1,0,0,0,0,0,0,1,0,1,1,0,0,1,2,0,0,0,0,0,0,1,0,0,0,0,2,1,2,0,1,1,2,0,0,1,0,1,0,1,0,2,1,2,0,1,1,1,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,2,0,0,0,0,1,2,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,1,0,1,0,2,0,1,0,1,1,1,1,1,2,1,0,0,1,0,0,1,0,0,1,0,0,0,2,0,1,0,2,1,1,1,0,0,2,0,1,1,0,1,0,0,0,0,0,1,0,0,2,0,1,0,0,1,0,1,0,1,0,0,0,2,1,0,1,1,1,0,2,0,1,0,0,1,0,1,1,1,1,2,0,1,0,0,1,2,0,0,1,0,0,0,1,1,1,0,0,2,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,2,1,1,0,0,0,1,0,0,1,0,1,2,0,0,1,0,2,1,0,0,0,0,1,0,1,1,1,2,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,2,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,2,2,1,0,0,1,1,2,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,2,1,1,2,2,0,0,2,0,0,1,1,0,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,2,1,2,0,1,0,2,1,0,0,0,1,0,0,0,0,2,1,1,0,0,0,2,0,0,1,2,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,2,1,1,0,1,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,2,0,0,0,1,0,0,2,1,0,2,0,0,1,1,1,1,0,0,0,0,0,2,2,2,0,0,1,2,0,0,1,0,2,0,0,0,2,1,1,0,2,1,1,1,0,0,0,0,0,2,1,1,0,0,0,0,2,1,1,1,1,2,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,2,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0,1,1,2,0,1,0,0,2,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,1,2,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,0,2,2,1,0,1,0,1,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,2,2,0,0,2,0,0,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,2,1,1,1,0,1,0,2,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,2,0,0,0,0,0,2,2,0,0,0,0,0,0,1,0,1,2,1,0,0,0,1,0,0,1,0,1,0,1,0,0,2,1,0,0,2,0,1,0,0,0,2,2,0,0,0,0,1,1,0,2,0,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0,2,1,0,1,1,0,0,0,0,2,1,0,0,0,1,0,0,0,1,1,0,0,0,1,2,1,0,0,0,0,2,0,0,1,1,1,0,0,0,0,2,0,1,0,1,1,1,1,1,0,0,0,1,0,0,2,0,1,1,1,0,0,1,2,2,2,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,1 0,0,0,1,0,0,0,2,0,2,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,1,0,2,0,0,0,1,0,0,1,2,2,0,1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,2,0,0,0,1,0,2,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,2,1,1,1,0,1,1,0,0,0,1,0,0,0,1,2,0,0,1,2,0,0,0,0,0,1,0,1,1,1,0,2,1,1,0,1,0,1,0,1,0,0,2,0,1,1,1,2,1,0,0,1,2,2,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,2,1,0,1,0,2,0,0,1,0,1,1,0,1,0,0,2,0,0,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0,2,0,0,0,2,1,1,1,0,2,1,0,1,1,1,0,0,1,0,0,1,2,0,0,1,0,1,1,1,1,1,1,1,0,0,0,0,2,0,0,0,0,1,2,0,0,1,0,1,0,1,1,1,2,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,2,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,1,2,0,0,1,2,1,1,0,1,1,1,0,2,1,2,0,0,2,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,1,1,1,0,1,2,0,1,1,1,1,1,2,1,0,1,0,1,1,0,1,1,1,1,0,2,0,0,1,1,0,1,1,1,0,0,1,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,2,1,2,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,2,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,2,0,1,0,0,2,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,2,0,1,0,0,0,1,0,2,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,1,2,0,1,0,0,0,0,1,2,1,0,1,1,0,2,0,0,0,1,1,1,1,1,0,0,2,0,1,2,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,1,2,0,1,0,2,1,0,0,1,1,0,0,0,2,0,1,0,1,0,2,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0,1,2,0,0,0,0,0,0,2,0,2,0,0,0,1,2,0,1,1,0,0,0,2,0,0,1,1,0,0,0,0,1,0,0,1,2,0,0,1,1,0,0,0,0,0,1,1,0,1,0,2,1,1,0,0,0,1,1,0,0,0,1,2,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,1,0,0,0,1,2,1,1,0,1,1,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,2,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,1,1,0,2,0,0,1,0,0,0,0,2,0,0,2,1,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0,1,2,1,1,1,2,0,0,2,0,1,0,1,0,1,1,2,1,0,1,1,1,0,2,0,0,0,0,0,0,1,0,1,1,0,1,0,1,0,1,0,0,2,0,0,0,0,1,1,0,0,1,0,0,2,1,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0,2,1,0,0,1 1,0,1,2,0,2,1,0,1,1,1,0,0,0,1,0,1,2,1,0,0,0,1,0,1,0,0,2,0,0,0,0,2,0,1,0,0,1,0,1,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,1,2,1,0,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,1,1,0,1,0,1,1,0,0,2,0,2,0,0,1,1,1,0,1,0,0,0,0,1,1,1,1,2,0,1,1,0,2,0,2,0,2,0,1,2,0,0,1,2,0,1,0,0,2,0,2,0,0,0,0,0,0,2,0,1,1,1,1,1,1,1,0,1,1,0,1,1,0,0,1,0,1,2,1,0,0,0,1,0,0,0,1,0,0,1,1,2,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,1,1,1,1,2,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,0,1,1,1,0,1,2,1,0,1,0,1,1,1,0,0,1,1,0,1,2,1,0,0,0,0,0,0,1,1,0,0,2,0,1,0,0,0,1,0,2,0,1,1,0,2,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,2,1,1,1,1,0,1,0,1,2,0,2,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,2,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,2,2,1,0,2,1,0,1,2,1,0,0,1,2,2,0,0,1,2,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,2,1,2,0,2,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,2,0,1,1,0,1,2,0,1,0,0,0,1,1,0,0,0,1,0,2,1,2,2,0,0,2,1,1,0,0,2,1,1,0,0,0,2,1,0,0,0,0,0,0,1,1,0,0,0,2,1,1,1,1,0,0,0,0,0,1,0,0,1,1,1,1,2,0,0,1,1,2,0,1,1,0,0,0,0,0,0,1,1,0,0,2,0,0,1,2,0,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,2,0,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0,2,0,0,1,0,0,1,0,2,1,1,0,1,0,0,0,0,0,1,0,0,1,2,0,1,0,2,2,1,1,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0,2,1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0,2,1,2,0,0,1,1,0,1,2,1,0,0,0,1,1,0,2,0,1,2,2,0,0,0,1,1,2,0,2,0,0,0,0,2,2,0,1,0,0,0,0,0,2,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,0,2,0,0,0,1,0,0,1,0,2,0,0,0,1,1,0,1,2,1,0,2,0,0,0,0,1,1,0,0,2,0,1,1,1,2,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,2,1,2,1,0,1,0,0,1,0,1,0,1,2,2,1,2,1,2,0,1,0,1,0,0,0,0,1,0,0,1,0,2,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,2,1,0,0,1,0,0,1,1,0,0,1,1,1,1,0,2,0,1,1,1,1,0,2,0,1,0,1,0,2,0,0,1,0,1,0,0,1,0,1,2,0,1,0,0,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,1,2,0,1,2,0,0,0,0,0,1,1,0,1,0,0,2,1,1,1,0,0,1,1,2,2,0,0,1,0,0,1,1,1,1,0,0,1,1,1,2,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,1 1,0,0,0,0,1,1,1,1,0,1,1,0,2,1,1,0,0,0,0,0,0,1,1,2,0,1,1,0,0,2,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,2,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,1,1,1,2,1,1,0,1,0,0,0,1,1,0,0,0,1,0,1,2,0,0,2,1,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0,2,0,1,0,1,1,0,0,0,0,1,0,1,0,0,1,1,0,0,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,2,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0,2,1,1,2,1,1,0,2,0,0,2,0,1,1,0,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0,2,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,1,0,2,2,0,1,1,0,0,1,1,1,1,1,0,0,1,0,1,2,0,0,2,1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,2,0,0,0,0,1,1,1,2,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,2,1,0,0,1,1,0,0,0,1,2,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,1,1,0,2,0,1,1,0,1,1,0,1,0,1,0,0,2,0,2,0,1,0,1,1,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,2,0,0,0,0,1,1,1,2,1,0,2,0,0,0,1,0,0,1,1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,1,2,0,0,0,0,0,0,0,2,2,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,1,1,2,0,0,0,0,1,1,2,1,1,1,0,0,1,0,2,1,2,0,0,1,1,1,0,0,2,0,1,0,1,1,0,1,0,1,2,2,0,0,1,0,1,0,1,0,0,1,0,0,0,2,0,1,2,0,0,0,0,1,2,1,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,1,1,1,2,0,2,0,1,2,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,2,1,1,2,0,2,0,0,0,2,0,2,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,0,1,0,0,0,1,1,0,2,0,1,2,1,1,1,1,2,0,0,0,0,2,0,0,1,0,0,0,1,1,0,0,0,1,1,2,0,1,0,0,0,0,0,1,1,0,2,0,1,0,1,2,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,2,0,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,2,0,1,0,1,0,0,1,0,1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,2,0,0,0,2,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,0,1,2,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,1,1,1,0,1,0,0,1,0,0,2,1,1,1,0,0,2,1,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0,1 1,0,2,1,0,0,0,1,0,0,1,1,0,1,1,0,0,2,0,0,0,0,0,0,2,1,0,1,0,1,1,0,1,0,1,0,2,1,2,1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,2,1,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,2,2,1,0,0,0,0,0,0,0,0,2,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,2,1,1,1,1,0,0,1,0,1,0,2,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,1,1,0,2,0,2,0,1,1,0,0,0,0,1,0,0,0,1,1,0,2,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,1,0,1,0,2,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,2,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,2,2,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,2,0,0,1,0,1,1,1,0,2,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,2,1,0,1,0,2,0,0,2,1,0,0,0,2,0,1,0,2,1,0,1,1,0,0,0,1,0,1,1,2,1,0,0,2,1,0,0,1,1,0,1,1,1,0,0,1,0,2,0,2,0,0,1,0,0,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,1,1,1,2,0,1,0,0,1,1,0,0,0,2,0,1,2,0,0,2,0,1,0,0,0,1,0,1,1,2,0,2,0,1,0,2,0,2,1,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,2,0,0,1,0,2,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,2,0,1,0,0,1,2,0,1,1,1,0,1,0,0,0,0,2,1,1,1,1,0,1,1,2,0,1,0,0,0,0,1,0,2,1,0,0,1,1,0,2,2,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,0,0,1,1,0,2,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,2,0,2,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,2,0,0,1,0,0,2,1,0,0,1,0,0,1,0,0,1,1,0,0,1,2,0,0,1,1,1,0,1,2,1,0,1,0,0,0,1,0,2,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,2,1,0,2,0,2,0,2,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,1,2,1,0,1,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,1,1,1,0,2,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,2,0,1,0,0,1,0,1,1,0,0,0,0,1,2,0,0,2,1,0,1,1,0,1,0,1,1,0,0,0,0,0,2,0,0,0,0,1,0,1,2,1,2,0,1,0,0,0,0,1,1,1,1,1,1,1,0,0,1,2,0,0,0,1,2,1,0,1,2,2,1,1,1,0,0,0,1,0,0,0,0,0,0,1,2,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,2,1,1,0,2,1,0,0,1,1,0,1,0,1,2,0,0,0,1,0,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,2,1,1,0,2,0,0,2,1,1,1,0,1,2,0,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0,1,1,2,0,0,2,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,2,0,0,0,1,0,1,0,1,2,1,0,0,0,0,0,0,1,0,1 2,0,1,1,0,0,0,0,0,0,2,0,0,2,1,1,1,2,1,0,0,1,1,1,0,0,0,1,0,0,1,0,2,0,2,0,1,0,0,0,0,1,0,1,1,2,0,0,0,2,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,2,1,1,0,0,0,0,0,1,0,0,2,0,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,1,2,1,0,1,0,0,0,2,0,1,1,1,1,0,1,0,0,0,0,2,0,0,0,1,1,1,0,1,0,0,2,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0,1,0,2,0,0,0,0,2,1,1,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0,0,2,2,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,2,0,0,1,1,2,2,2,0,0,0,1,0,1,0,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,1,1,0,0,2,0,0,0,0,0,0,1,0,1,0,0,2,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,1,1,2,0,0,1,0,0,2,1,1,0,0,1,0,0,0,0,1,0,1,1,0,2,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,0,2,0,0,0,0,1,0,1,0,1,1,2,0,1,1,0,0,0,0,0,2,2,1,1,0,0,0,1,0,0,1,0,2,0,0,1,0,2,0,0,0,2,1,0,0,0,0,1,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,2,0,1,1,2,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,2,0,1,1,2,2,1,0,1,0,0,1,2,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,1,0,1,2,0,1,1,1,1,0,0,1,2,1,0,0,0,1,0,0,0,1,0,0,0,0,0,2,1,2,0,1,0,0,0,1,0,0,2,1,0,1,0,1,0,1,0,2,0,0,1,1,1,0,1,0,1,2,0,1,0,0,0,1,2,1,1,0,1,0,2,2,1,1,1,1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,2,1,1,0,1,0,0,0,1,1,2,0,2,1,0,0,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,1,2,1,1,2,0,0,1,1,0,1,0,1,0,2,0,1,0,0,1,0,0,0,1,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,2,1,1,1,1,0,0,0,1,2,0,0,0,1,1,1,1,0,2,0,0,1,1,1,1,0,0,0,0,2,2,1,1,2,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,2,0,1,0,0,0,0,0,1,1,1,1,1,0,1,0,0,1,1,0,0,2,1,0,2,1,0,0,0,0,2,0,0,0,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,2,1,2,0,0,0,1,0,2,2,1,1,0,0,0,0,1,1,0,1,1,1,0,2,0,2,1,2,0,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,2,2,0,1,2,0,0,1,1,2,0,0,1,0,1,0,0,1,0,0,1,0,0,2,1,1,0,0,2,0,0,0,0,1,1,0,0,1,0,1,0,2,0,0,0,0,1,0,2,1,0,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1 1,0,0,1,0,0,1,0,2,0,0,0,1,2,0,0,0,1,2,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,1,0,2,2,1,0,1,1,1,2,1,1,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,1,2,1,2,0,0,2,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,2,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,1,2,0,2,1,1,1,2,0,2,1,1,1,2,0,0,0,0,0,2,2,1,1,0,2,2,0,0,1,0,1,0,1,1,0,0,1,1,2,0,2,0,0,0,2,0,0,0,0,0,1,2,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,2,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,1,2,1,1,0,0,1,0,0,0,0,1,0,0,0,2,0,0,2,1,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,1,0,1,2,2,0,1,0,0,0,2,1,0,0,0,1,1,1,1,0,0,1,0,2,2,1,1,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,1,2,1,0,1,0,1,1,1,2,0,0,0,1,2,0,0,0,0,0,1,1,0,1,0,0,1,2,1,0,1,0,1,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,2,1,0,1,0,2,1,0,1,2,1,0,1,2,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,0,0,1,2,2,2,0,0,1,0,1,2,0,1,0,1,0,1,0,2,0,0,0,2,0,0,0,0,0,0,1,0,2,1,2,0,1,1,0,2,0,1,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0,1,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,2,0,1,0,0,1,0,0,0,2,0,0,0,1,0,1,1,0,0,1,0,0,0,2,2,1,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,2,0,0,1,0,0,1,1,0,1,1,0,1,2,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,2,1,1,1,0,2,0,1,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,1,1,2,0,0,2,0,0,0,0,0,0,0,1,1,0,0,1,2,0,0,1,0,0,0,1,0,1,0,0,1,2,0,1,0,0,1,1,0,1,2,1,0,0,1,0,1,0,0,0,2,0,1,0,0,0,0,2,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,0,0,0,1,0,2,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0,1,2,2,0,0,0,1,0,1,0,1,0,1,1,0,2,0,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,2,2,0,0,1,1,0,0,2,0,0,0,1,0,1,1,0,1,1,0,2,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,2,0,2,0,1,0,1,0,1,0,0,2,0,0,0,0,1,1,0,0,0,2,0,0,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0,2,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,2,0,1,1,1,0,0,2,1,1,0,0,1,0,2,1,0,0,0,0,1,1,1,2,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1 0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,1,1,0,0,1,0,0,1,1,1,1,1,0,0,0,2,1,0,1,1,1,2,1,0,2,1,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,1,0,2,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,2,1,1,0,0,1,1,0,1,0,0,0,1,1,2,2,0,0,0,2,0,1,0,0,0,0,0,1,1,2,0,0,0,0,1,1,0,2,0,0,1,0,1,0,0,1,1,1,2,2,0,0,1,0,0,1,2,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,1,2,0,1,2,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,0,2,0,0,1,0,1,0,0,0,1,0,0,0,2,0,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0,1,2,1,0,0,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,2,1,1,1,1,0,0,0,2,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,2,1,1,0,0,1,2,1,0,1,0,1,1,0,1,1,0,1,0,2,1,1,2,2,0,0,0,0,2,0,0,0,0,0,1,1,2,2,1,0,0,0,0,0,0,1,0,0,1,0,1,0,2,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,2,0,2,0,0,2,1,0,0,0,0,0,0,1,0,1,0,1,0,1,1,1,2,0,1,2,1,0,0,2,1,0,1,0,1,1,1,0,2,0,0,1,1,1,1,0,0,1,0,0,1,0,1,2,0,1,2,0,2,0,2,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,2,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,1,2,2,2,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,2,0,0,1,0,1,0,0,0,0,1,1,0,2,0,1,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0,1,2,0,0,0,1,1,1,0,1,1,0,2,0,0,1,0,0,0,0,0,0,1,0,2,0,0,1,2,0,1,0,0,0,1,0,1,1,1,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,1,2,0,0,2,0,1,1,0,0,1,1,0,0,0,0,1,1,1,0,2,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,2,1,0,1,1,0,1,0,2,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0,1,1,2,1,0,0,2,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,2,0,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,2,0,1,2,0,2,0,1,0,0,0,0,0,0,1,2,0,1,0,2,1,0,1,0,1,0,1,1,1,1,1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,1,1,2,0,0,0,2,0,1,0,0,2,0,0,1,2,1,1,0,0,0,1,0,1,0,0,1,0,1,0,0,2,1,0,1,0,1,0,2,0,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,2,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,2,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,2,1,0,1,1 1,0,1,1,0,0,1,2,0,2,2,0,0,2,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,2,0,0,1,1,0,0,0,1,1,2,0,1,1,2,0,2,0,2,1,2,0,0,1,0,1,0,2,1,1,2,0,2,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,1,1,1,1,2,0,0,0,0,1,0,0,0,1,0,2,0,0,1,1,2,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,2,0,0,0,0,1,1,2,1,0,1,0,1,0,0,1,0,0,0,0,2,0,1,0,2,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,2,0,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0,2,0,1,0,0,1,1,0,2,2,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,2,0,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,2,1,0,0,0,0,0,1,0,0,1,0,2,0,2,1,0,1,1,0,1,0,1,0,0,0,0,1,2,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0,2,1,0,0,1,0,0,0,0,1,2,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,2,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,1,0,2,0,1,0,1,2,0,0,2,1,0,1,0,0,2,1,0,0,1,1,0,1,2,0,1,0,1,0,0,1,2,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,2,0,1,1,0,0,2,0,1,0,0,0,0,0,2,1,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,1,0,1,1,1,0,0,1,0,1,0,2,0,0,1,1,0,1,2,1,0,0,0,0,0,0,1,1,2,0,1,0,0,1,1,1,0,0,1,1,0,0,0,0,1,1,1,2,0,2,0,2,1,0,2,2,0,1,1,0,1,2,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,2,0,0,0,1,0,0,1,1,1,0,0,1,2,0,2,0,0,1,0,0,1,2,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,1,1,0,2,0,0,1,1,0,0,2,0,1,0,0,1,0,1,0,0,1,2,1,0,0,0,1,1,0,1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,2,2,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,2,1,1,0,1,0,1,1,0,0,2,0,0,1,0,1,1,1,1,0,0,2,0,0,0,1,0,1,1,1,0,0,0,0,0,1,2,1,1,0,0,2,0,0,1,0,0,0,0,0,2,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,0,1,1,0,0,1,2,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,2,1,2,0,2,0,0,1,0,2,0,1,1,0,2,0,0,1,2,1,0,2,0,1,0,1,0,1,1,1,0,0,0,1,0,0,2,0,1,0,2,0,2,1,0,0,0,1,0,0,0,1,2,2,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,2,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,2,0,0,0,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,1,1,1,2,1,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1 1,0,1,1,0,0,0,1,2,0,2,0,2,1,0,0,0,0,0,0,0,0,1,0,1,2,1,1,1,0,1,0,2,1,0,0,1,1,0,0,2,2,1,2,2,0,1,0,1,0,1,0,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,2,0,1,1,0,2,0,0,1,0,0,0,2,0,0,1,0,0,1,2,0,1,0,1,0,1,0,1,2,0,0,1,1,1,0,0,1,0,0,0,2,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,1,0,1,0,1,2,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,2,1,1,0,1,2,1,0,0,1,1,1,1,1,1,1,0,2,0,0,0,1,2,0,1,0,1,0,0,1,1,0,2,0,1,1,1,2,0,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0,2,2,0,0,0,0,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,2,0,1,1,0,0,0,0,0,1,0,1,1,1,2,0,1,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,1,1,1,0,1,2,0,0,1,0,1,0,0,1,0,2,1,0,1,0,1,1,0,1,0,0,0,1,1,2,1,1,1,0,0,1,0,2,1,1,0,0,1,1,0,2,1,1,1,1,2,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,1,0,2,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0,2,0,2,1,0,0,2,0,2,1,2,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,2,0,1,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,1,2,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,2,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,0,2,0,0,1,0,0,1,0,0,0,1,1,0,0,0,1,1,1,0,1,0,2,0,1,1,0,1,0,1,0,1,0,2,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,2,1,0,1,1,0,1,0,0,1,1,1,1,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,2,0,0,1,0,2,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,2,0,2,1,0,2,1,0,0,2,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,2,0,1,0,1,2,0,0,0,1,1,0,0,2,1,0,0,0,0,0,0,1,1,1,1,1,2,1,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0,0,2,0,2,1,0,0,0,0,1,0,1,0,1,1,2,0,0,1,0,0,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,1,0,0,0,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,2,2,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,1,1,1,0,1 0,0,1,1,2,0,0,1,0,1,1,1,0,1,2,1,1,2,1,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0,1,1,1,1,2,2,1,0,0,0,0,2,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,2,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,2,1,2,0,1,0,1,1,0,0,0,0,1,1,1,1,2,0,1,0,0,0,0,0,0,0,0,1,0,1,1,2,0,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,2,1,1,0,0,0,2,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,1,2,1,2,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,2,0,1,1,0,1,2,0,0,0,1,0,0,2,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,2,1,0,0,0,2,0,1,1,0,2,2,1,0,0,0,1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,2,2,0,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,1,1,1,0,1,2,0,1,0,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,1,0,2,0,1,0,0,2,1,1,1,0,2,0,0,0,1,0,1,2,0,0,1,0,1,2,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,2,0,0,0,0,1,0,2,1,0,0,2,0,2,0,0,1,0,0,0,1,0,2,1,0,0,0,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,1,0,1,0,1,0,1,1,0,1,0,2,0,0,0,1,0,0,2,1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,1,2,2,1,1,0,1,1,0,1,0,0,1,0,0,1,2,2,1,1,0,1,0,0,1,0,1,2,0,1,0,2,0,1,0,0,0,1,0,1,1,0,0,0,1,2,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,2,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,2,1,0,1,1,0,1,2,1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,2,1,1,0,0,1,2,0,1,0,0,0,0,1,1,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,1,2,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,2,0,0,0,0,0,0,0,1,0,2,0,0,0,1,1,1,0,2,1,1,2,0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,2,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,1,2,1,0,0,0,0,1,0,0,0,2,0,1,0,2,2,0,0,0,0,1,0,1,2,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,2,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0,1,2,0,2,0,1,1,0,0,1,1,1,0,0,2,0,1,1,0,1,1,0,0,0,2,0,1,1,1,0,0,0,0,2,0,1,0,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1 1,0,1,2,1,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,1,2,0,0,1,1,0,0,0,1,0,0,0,1,2,0,0,1,0,0,2,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,0,1,2,0,2,0,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,2,0,0,0,1,0,1,0,0,0,2,0,0,1,0,2,1,0,0,0,0,0,0,1,1,2,0,0,2,1,0,2,1,0,0,0,0,1,1,0,1,0,0,0,1,1,1,0,2,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,2,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,1,0,0,2,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,1,2,2,1,1,0,2,0,0,1,1,2,0,0,1,0,2,1,0,0,0,1,2,1,0,0,0,0,2,1,2,1,0,0,0,2,2,0,0,0,0,0,1,2,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,2,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,1,2,1,1,0,0,1,0,0,1,0,0,0,0,0,0,2,1,0,1,0,0,1,0,1,0,1,0,0,0,1,1,1,1,2,1,1,0,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,2,1,0,1,0,1,1,0,0,1,2,2,1,1,1,2,2,0,0,1,1,2,1,0,0,0,0,0,0,1,2,0,0,1,1,0,0,0,0,0,2,2,0,0,2,1,0,0,0,0,1,1,0,1,1,0,2,0,1,0,2,0,1,0,0,0,1,0,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,2,1,1,0,1,0,0,1,0,2,2,1,1,0,1,0,0,0,0,0,1,0,0,2,0,1,0,0,0,0,2,1,1,1,0,0,0,1,1,1,0,1,1,0,0,1,1,0,1,0,1,0,1,1,2,1,0,0,1,0,1,0,0,0,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,2,0,1,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,2,2,1,1,2,2,0,0,1,1,0,0,2,1,1,0,1,1,1,1,1,1,2,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,2,0,0,1,1,2,1,0,1,0,2,0,0,0,0,0,1,0,0,1,1,1,0,2,1,0,1,1,0,0,0,1,0,0,0,2,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,2,1,1,0,0,0,0,0,1,0,2,1,1,1,0,1,2,2,1,2,0,2,0,2,1,0,1,2,0,0,0,1,1,1,1,0,0,1,0,1,0,0,0,2,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,0,1,0,0,0,1,0,1,1,2,0,1,2,1,0,0,1,0,2,0,0,0,0,0,1,0,0,1,1,1,0,0,2,0,1,1,2,0,0,0,0,0,0,1,0,0,1,1,1,2,1,1,0,1,0,0,0,0,1,1,1,1,0,0,2,2,0,0,1,2,0,1,1,1,0,0,2,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,2,2,0,0,0,0,2,0,0,0,0,0,1,0,2,0,0,1,1,0,1,1,1,0,1,1,0,2,1,0,0,1,0,2,0,1,1,0,2,2,1,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,1,1,0,1,2,1,1,2,0,0,0,1,1,0,2,0,0,0,1,1,0,0,0,0,0,0,0,1,0,2,1,0,0,1 1,0,0,0,0,1,2,0,2,0,2,2,0,0,1,0,0,1,0,1,0,1,1,0,1,1,2,2,0,0,0,0,1,1,1,0,1,0,0,0,1,1,1,2,1,0,1,1,0,1,1,0,0,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,2,1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,2,0,1,0,1,0,2,1,1,0,0,0,0,0,1,2,0,1,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,0,1,2,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,2,0,1,1,1,0,0,0,1,0,0,1,1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0,2,0,1,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,2,0,0,1,1,1,0,0,2,0,1,2,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0,2,1,2,0,0,1,0,0,1,2,1,0,0,1,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,1,1,0,1,0,2,0,0,2,0,1,1,0,0,0,0,0,0,1,1,2,1,1,1,0,0,0,2,0,2,1,1,1,0,2,0,1,0,2,1,1,1,0,0,0,0,0,2,0,1,0,0,0,0,0,2,1,0,1,0,0,0,1,0,1,1,1,0,0,1,1,2,0,1,1,0,1,1,1,0,1,1,0,0,1,2,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1,2,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,1,1,2,0,0,0,0,2,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,2,0,2,1,0,1,0,1,0,0,1,0,1,1,1,1,1,0,1,2,1,0,2,0,0,0,2,1,0,1,0,1,1,0,1,0,1,1,1,0,1,2,0,1,1,2,0,0,0,0,1,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,2,0,1,1,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,2,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,2,0,1,0,1,2,1,0,0,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,2,0,1,0,0,0,0,2,1,2,1,0,1,1,0,1,0,1,0,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,2,0,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,0,1,1,2,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,1,0,1,2,2,0,0,0,1,0,0,0,0,1,0,2,0,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,1,0,1,2,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,1,2,0,0,0,2,2,0,1,0,2,2,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,2,1,2,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1 1,0,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,2,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,2,1,2,0,0,0,0,1,0,1,0,1,1,0,1,0,2,0,0,0,1,0,0,0,1,0,1,0,2,1,1,0,1,1,2,0,0,0,0,0,1,0,1,0,0,1,1,2,1,1,0,0,0,0,1,1,0,1,0,0,0,2,1,1,1,1,0,0,0,0,0,1,1,0,2,0,0,0,1,0,0,0,2,1,2,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,0,2,1,1,0,1,0,0,2,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,2,0,0,1,0,0,0,0,0,0,1,2,1,1,0,0,0,0,1,0,0,0,1,2,1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,2,0,0,0,0,0,1,2,1,0,0,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,1,1,0,2,0,0,0,1,0,2,1,0,2,2,1,1,2,0,0,1,1,0,2,1,0,1,2,0,0,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,2,0,2,0,0,0,2,0,0,1,2,0,0,1,1,2,1,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,2,0,1,2,0,1,1,0,0,1,1,2,2,1,0,0,0,2,1,1,0,0,2,0,2,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,2,1,0,0,0,0,1,1,2,1,1,0,0,0,0,1,0,0,0,0,2,0,1,0,0,1,0,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0,1,2,2,0,1,2,0,0,0,1,0,1,0,0,2,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,2,2,1,1,1,1,2,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,2,1,1,1,2,1,0,1,0,2,0,0,0,2,1,0,0,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,2,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,1,1,2,0,0,0,1,0,0,0,0,0,0,2,1,1,1,1,0,1,0,1,1,0,0,1,0,2,0,1,0,1,0,1,1,1,0,1,0,2,0,1,0,0,0,1,2,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,1,0,1,1,1,0,1,0,2,0,0,0,1,0,0,0,1,1,2,1,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,1,0,1,2,0,1,0,1,0,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,2,0,0,2,0,0,0,0,0,0,1,0,1,0,1,1,0,1,0,2,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,2,1,1,1,0,1,0,2,0,2,1,1,1,1,0,0,2,0,2,0,1,0,1 0,0,2,0,1,1,0,2,2,1,0,2,0,0,1,0,1,1,0,0,0,0,1,0,1,1,1,1,0,1,1,0,2,1,0,0,1,0,0,1,2,1,0,2,1,0,1,1,1,0,0,0,0,1,0,0,1,0,2,1,0,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,2,1,2,0,0,0,0,1,2,1,0,0,1,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,2,0,1,1,0,0,1,0,0,0,0,1,1,2,0,1,1,1,0,1,2,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,2,0,1,1,0,0,0,0,0,0,1,0,0,2,0,1,0,0,0,0,1,1,0,2,2,0,2,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,2,0,0,2,1,0,0,1,0,1,0,0,0,2,1,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,1,1,2,0,0,1,1,0,0,0,0,0,0,0,1,1,1,2,1,0,0,0,0,1,0,0,0,0,1,0,2,1,0,0,0,1,1,0,0,0,1,0,0,2,1,2,1,1,1,1,2,0,1,1,1,1,1,1,1,0,0,2,0,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,2,0,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,2,2,1,0,0,0,0,0,1,0,1,1,1,0,0,0,2,0,1,0,0,1,0,0,0,0,0,1,1,2,1,2,0,2,1,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,2,0,1,1,0,1,0,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,2,1,1,2,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,2,1,0,1,0,0,0,2,1,1,2,2,0,0,0,1,1,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,2,1,0,0,0,0,2,1,0,0,1,1,0,0,0,0,1,0,1,1,1,1,0,1,0,1,0,1,1,1,1,2,0,1,2,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,2,0,1,0,1,1,0,1,1,0,1,0,0,2,0,0,2,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,1,1,2,1,2,1,1,0,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,0,0,1,0,0,0,2,0,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,2,0,1,1,1,0,0,0,0,0,0,2,0,1,0,2,1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,2,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,2,0,1,1,0,1,1,1,1,2,0,0,1,2,1,1,0,0,2,0,0,0,1,1,0,1,1,0,1,1,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,1,1,2,0,2,0,0,0,1,0,0,0,0,1,0,0,0,2,1,1,1,0,1,0,0,1,0,1,2,0,1,0,1,0,2,2,0,2,0,1,1,1,0,1,0,1,0,1,1,0,0,0,2,0,0,0,0,0,1,1,1,0,1,1,0,2,1,0,0,1,1,0,0,0,0,0,0,1,1,2,1,0,0,1,0,1,0,1,1,1,2,1,0,1,0,0,1,0,2,2,0,0,1,0,0,0,1,0,0,0,0,1,2,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,1,0,2,1,0,0,2,0,0,0,1,1,1,0,0,1,0,1,1,0,1,1 0,0,1,1,0,0,0,1,2,1,1,0,2,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,2,0,1,1,1,0,0,1,2,0,1,1,0,1,1,2,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,2,1,2,0,0,1,0,0,2,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,2,1,0,0,0,0,1,1,1,0,2,1,0,0,2,0,0,0,0,1,1,1,0,1,1,1,0,1,0,2,0,0,2,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,1,1,1,1,1,0,2,0,1,1,1,0,0,1,0,1,0,1,0,1,2,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,1,0,2,0,0,0,1,2,1,0,1,0,0,0,0,0,0,2,0,0,1,2,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,1,2,1,1,0,0,0,1,0,0,0,2,0,0,0,0,1,1,0,0,0,2,1,1,0,0,0,2,1,0,0,1,0,1,0,2,2,1,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,2,1,1,0,0,0,1,1,1,0,1,1,0,2,0,0,1,1,0,1,1,2,1,1,0,0,1,2,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,2,1,1,0,0,1,0,0,0,0,2,0,1,0,0,0,1,1,0,0,0,1,0,0,2,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,2,1,0,0,1,0,0,2,0,1,1,0,0,0,1,2,0,1,0,1,0,0,0,0,0,2,2,0,1,0,0,0,0,1,1,2,0,0,1,0,0,1,0,1,0,1,1,0,0,0,0,1,2,0,0,0,1,1,0,0,0,0,0,0,0,1,2,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0,1,2,0,0,1,1,0,0,1,1,1,0,1,2,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,2,1,0,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,1,2,0,1,0,0,1,0,0,1,1,2,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,2,1,1,1,0,0,0,1,0,0,2,0,1,2,0,1,0,1,1,0,1,0,2,0,1,1,1,1,2,0,0,2,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,2,2,0,0,2,0,0,0,1,0,0,1,0,2,0,0,0,2,1,0,1,1,1,0,2,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,2,1,0,1,1,0,2,1,1,1,0,0,1,0,0,0,1,1,1,1,0,0,0,0,2,0,1,1,0,1,1,1,0,0,1,1,0,2,0,0,0,0,2,1,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,2,1,1,1,0,0,0,1,0,2,0,0,2,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,2,0,0,2,0,0,0,0,2,0,0,1,2,1,0,0,0,1,0,0,0,0,1,1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,1,1,2,0,0,0,1,0,2,1,1,1,1,1,0,0,0,1,1,0,1,2,1,1,2,1,1,0,2,2,1,0,0,0,1,1,1,0,1,1,0,1,0,0,2,1,0,1,0,1,1,0,0,2,0,0,1,0,0,0,2,1,0,1,1,0,0,0,0,0,1,0,1,2,0,2,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,2,0,1,0,0,0,2,2,0,0,0,1,0,0,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,2,1,1,1,0,1,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,1,0,1,0,0,0,2,1,0,0,0,1,0,0,0,1,0,0,1,0,1,1 1,0,0,1,1,1,0,1,0,0,1,1,2,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,2,2,1,1,0,0,0,0,2,1,0,0,0,0,0,2,2,0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,2,0,0,0,0,1,0,0,0,2,1,2,0,1,1,2,0,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,2,2,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,2,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,1,2,1,0,0,0,1,0,0,0,0,2,0,2,1,0,0,0,0,0,0,2,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,2,0,0,2,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0,2,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,1,1,1,0,1,1,0,0,1,1,0,1,2,1,0,0,0,0,1,0,2,1,0,1,0,0,1,0,0,1,0,0,0,0,0,2,0,1,0,1,2,2,0,1,0,0,2,1,0,0,0,1,1,0,1,1,0,0,0,0,1,1,1,1,2,1,1,1,0,1,1,0,0,2,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,1,1,2,0,1,0,0,1,0,1,0,2,1,0,0,2,0,1,0,1,0,0,0,0,0,0,2,1,2,1,0,1,0,1,0,1,1,1,1,0,0,2,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0,2,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0,2,2,0,2,0,0,1,0,1,0,1,2,2,1,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,2,2,1,0,2,0,0,0,1,1,0,0,0,1,1,0,2,2,0,0,0,0,2,0,0,0,1,0,2,1,0,0,1,0,0,0,0,0,1,0,2,1,0,1,2,1,0,0,1,2,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,2,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0,1,0,1,1,1,0,1,2,0,0,0,0,1,1,0,0,2,2,0,0,0,0,0,0,1,1,0,0,0,0,1,2,0,0,0,0,0,1,0,1,0,2,1,1,1,0,0,1,0,0,1,1,2,0,2,0,1,0,0,2,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,2,1,0,0,2,0,2,0,0,0,2,0,0,0,0,1,0,2,1,0,1,1,1,0,1,1,0,0,1,0,0,2,0,0,0,0,0,1,1,1,0,2,0,1,0,0,0,1,2,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,2,2,0,0,0,0,2,1,1,1,0,0,0,1,1,1,1,1,0,0,2,1,1,0,0,0,0,0,1,2,1,0,1,0,0,1,0,1,1,0,0,0,1,1,0,1,2,0,1,0,0,1,2,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,1,1,1,0,2,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,2,1,0,0,0,0,0,0,1,0,2,1,1,2,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,2,2,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,2,0,2,2,0,0,0,1,0,0,2,0,0,0,2,0,0,0,1,0,0,0,0,1,1,1,0,2,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,2,1 2,0,1,1,1,0,1,1,0,0,1,1,0,1,0,1,0,2,0,0,0,1,1,0,0,2,1,2,0,0,0,0,0,1,1,0,0,0,2,1,1,1,0,1,0,0,0,2,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,2,0,1,1,0,1,1,0,1,0,0,0,0,0,0,2,0,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,2,1,1,2,1,1,0,0,0,2,0,0,1,0,1,0,0,0,2,0,0,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,2,1,2,0,2,0,0,1,0,1,0,0,0,0,0,2,0,1,0,0,0,0,2,0,1,0,1,1,0,0,1,1,1,1,1,0,2,1,0,0,0,0,1,2,1,0,2,2,1,1,1,0,1,2,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,1,1,1,1,2,0,0,0,1,0,1,0,0,1,0,0,2,0,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,1,2,0,2,0,0,0,0,0,0,1,1,1,1,0,0,1,2,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,1,1,0,2,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,2,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,1,1,1,0,0,1,1,0,1,1,2,1,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0,1,1,2,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,2,0,1,0,1,0,0,0,0,0,1,2,0,0,1,2,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,2,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0,1,1,2,0,1,0,1,1,0,1,0,0,1,0,2,1,1,0,0,0,1,1,0,0,1,1,0,2,0,1,2,1,1,0,2,0,1,0,0,1,1,1,1,1,1,0,0,2,1,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,2,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0,2,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,2,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,1,1,1,0,1,0,1,2,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,2,0,0,0,0,0,1,2,1,0,0,1,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0,2,1,0,2,2,1,0,2,1,0,0,1,0,0,0,0,1,1,0,1,1,0,1,1,2,0,1,0,0,0,1,1,1,1,1,2,0,1,1,0,0,1,0,1,0,0,0,2,1,0,0,0,1,1,2,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,2,0,1,2,1,2,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,2,2,1,0,0,1,0,1,0,1,0,1,0,0,0,1,1,0,1,0,2,0,0,0,1,1,1,2,0,0,0,0,0,1,1,0,2,1,0,0,0,0,0,0,2,0,1,0,0,0,2,1,2,1,0,1,0,0,0,2,0,2,0,0,0,1,0,1,0,0,1,0,2,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,2,1,0,1,0,0,2,0,0,0,1,1,0,1,2,0,1,0,0,0,0,1,1,0,1,1,0,1,2,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,1,2,0,0,2,0,0,0,0,2,2,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,2,1 1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,1,0,2,1,1,0,2,1,1,0,0,0,0,0,1,2,1,1,2,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,2,0,2,1,1,0,0,0,1,0,0,1,2,0,0,1,0,0,1,2,1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,2,0,1,0,0,0,0,0,1,1,2,0,1,0,1,0,0,1,1,0,2,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,2,0,2,1,0,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,1,0,2,2,0,1,0,1,0,0,0,0,1,0,1,1,2,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,2,0,0,0,1,0,0,0,1,1,0,1,2,0,0,0,0,0,1,1,1,1,0,0,1,2,2,0,0,0,1,0,0,0,0,1,2,1,0,0,1,1,0,0,2,0,0,2,1,1,0,1,1,2,0,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,1,1,1,0,0,0,0,0,2,1,1,0,0,0,1,1,0,2,1,0,1,0,1,0,0,0,0,1,2,0,1,2,1,0,1,2,0,0,1,0,0,0,1,2,0,0,2,0,2,0,1,0,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,2,2,1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,1,2,1,0,1,2,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,2,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,1,2,1,1,1,0,2,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,2,0,0,1,1,2,0,2,0,1,1,0,0,0,0,0,2,1,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,2,2,2,0,0,1,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,1,2,0,2,2,0,0,0,0,2,0,1,1,0,0,0,1,0,1,2,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,2,0,0,0,1,1,1,1,0,1,0,0,2,1,2,0,0,1,1,0,2,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,1,1,2,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,1,0,1,0,1,0,2,1,1,1,0,0,2,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,2,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0,2,1,1,1,1,0,0,0,0,1,2,0,0,2,0,2,1,2,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,2,1,0,2,0,1,0,0,1,0,2,1,1,0,0,0,2,1,0,0,0,0,1,2,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,2,0,1,1,1,0,0,0,1,0,1,2,0,0,0,1,0,0,2,0,0,0,2,0,0,1,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,1,2,0,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,2,0,0,0,0,0,1,2,1,0,0,1,0,0,0,0,2,1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,2,0,0,0,2,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1 2,0,1,0,1,0,0,0,1,1,1,0,0,1,1,0,1,2,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,1,0,0,2,1,0,0,0,2,2,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0,2,0,1,2,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,1,2,0,0,2,0,1,0,1,0,0,2,2,1,0,0,0,0,1,1,1,2,2,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,2,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,2,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,1,1,2,0,0,1,2,0,0,0,1,0,0,1,1,1,0,1,0,1,0,1,0,1,1,2,1,2,1,1,2,0,0,0,2,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,2,0,0,1,0,0,1,0,0,2,1,0,1,1,2,2,0,0,0,1,0,0,2,0,0,0,1,0,2,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,2,1,1,0,1,1,1,0,1,1,1,1,1,1,2,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,0,1,2,2,1,1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0,1,0,2,0,0,0,1,0,1,0,1,0,0,0,0,2,2,0,0,0,1,1,0,1,1,2,0,1,0,0,1,0,0,0,1,0,1,1,1,1,2,0,1,2,0,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,2,1,0,0,0,2,2,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,1,1,2,0,0,1,1,0,0,1,1,2,1,0,1,1,0,1,0,1,1,0,1,0,0,0,2,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,0,0,0,1,1,0,0,0,1,1,0,0,2,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,1,1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,1,0,2,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,0,1,1,0,1,1,0,0,2,1,0,1,0,1,0,0,0,0,0,1,1,0,2,1,0,2,0,1,1,0,1,0,0,0,1,1,2,1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,1,1,1,0,0,1,1,1,2,1,0,1,1,0,0,1,1,1,1,0,1,1,2,0,1,0,0,1,1,0,0,0,0,0,2,2,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,2,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,2,0,2,1,0,0,0,0,2,0,0,2,0,1,0,0,1,2,1,1,0,1,0,1,2,1,1,2,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,2,0,0,0,0,1,1 0,1,0,1,1,1,0,1,1,0,0,0,1,2,1,0,0,1,1,0,0,0,1,0,2,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,2,1,0,0,2,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,1,1,0,1,1,1,2,0,0,0,1,1,0,0,0,0,0,0,2,0,1,0,2,0,2,0,1,0,2,2,1,0,2,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,2,0,1,0,0,0,0,2,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,1,1,0,0,0,0,0,0,2,1,1,0,0,1,0,0,2,1,0,1,1,1,0,0,2,0,1,0,1,1,1,0,1,0,0,0,0,1,0,2,1,0,2,0,0,0,1,1,1,1,0,1,1,0,1,1,0,0,0,2,1,0,0,1,0,1,1,0,0,1,1,1,0,1,0,2,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,2,1,0,0,2,1,0,2,0,0,0,0,2,0,0,1,1,1,0,0,2,1,1,1,0,0,0,0,0,0,1,0,0,0,1,2,1,0,1,1,1,1,0,0,0,1,1,1,1,1,1,0,2,0,1,2,0,1,1,2,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,1,1,0,0,1,2,0,0,1,1,0,0,0,0,1,2,0,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,2,0,0,2,2,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,2,0,1,1,0,0,1,1,0,1,0,0,0,1,2,0,0,0,0,0,0,0,1,0,0,0,2,1,2,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,2,0,2,0,0,2,0,0,2,0,0,0,1,0,0,2,1,0,1,2,1,1,0,1,1,1,0,2,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,2,0,0,0,0,2,1,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,1,0,1,1,2,1,1,0,1,1,0,2,1,0,0,1,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,1,1,0,1,0,2,0,0,0,0,0,1,0,1,0,0,0,2,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,2,2,1,0,1,0,0,1,0,0,0,2,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,1,0,0,0,2,0,0,0,1,0,2,0,0,1,1,1,1,1,1,0,0,1,1,0,1,0,0,1,2,0,0,0,0,0,0,1,0,2,1,0,0,0,0,0,1,1,0,1,2,1,1,0,2,0,0,0,1,1,0,0,0,1,1,1,1,1,2,2,0,0,1,1,0,2,0,2,1,0,1,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,2,0,1,0,0,1,1,1,2,0,0,1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0,0,2,1,0,2,1,1,0,1,1,1,0,0,0,1,0,0,0,1,2,0,1,0,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,2,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,2,2,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,2,1,1,0,0,0,1,1,0,1,0,0,0,2,0,1,1,0,1,1 0,0,2,2,1,0,1,0,1,0,2,1,0,2,2,1,0,1,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,0,2,1,1,0,1,2,0,0,0,0,1,1,0,0,2,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,2,0,0,1,0,1,0,0,0,0,0,0,1,0,2,1,0,2,1,0,0,0,0,2,0,1,0,2,2,1,0,2,2,0,1,2,0,0,0,1,0,1,0,2,1,0,0,1,0,0,1,2,2,1,1,0,1,1,0,1,2,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,1,1,1,0,1,0,2,0,0,0,1,1,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,2,0,1,1,0,0,0,2,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,2,1,0,0,0,1,1,0,1,0,0,0,0,2,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,2,1,1,0,1,1,0,0,1,1,0,1,0,1,0,1,1,1,0,0,1,1,1,2,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,2,1,0,0,1,1,1,1,1,1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0,2,0,1,0,1,0,0,0,1,1,1,1,2,0,1,1,0,0,0,2,1,1,0,0,0,2,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,2,2,0,1,0,1,0,0,0,0,0,1,0,0,0,0,2,2,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,2,0,2,0,0,0,1,0,1,1,1,2,1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,2,1,0,0,1,0,0,2,1,1,1,0,0,1,0,1,2,1,2,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,2,0,1,1,0,1,0,2,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,1,2,1,0,2,0,0,0,2,0,1,0,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,2,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,2,0,0,0,0,2,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,2,0,1,0,1,0,0,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,2,0,0,1,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,1,1,1,1,0,1,1,2,1,0,0,1,0,0,2,0,0,1,0,0,2,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,1,1,2,0,0,2,2,0,0,0,1,0,0,0,0,0,1,2,0,1,0,0,1,0,0,0,0,0,0,0,1,1,2,0,2,0,2,1,0,1,0,0,0,2,2,0,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,1,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,2,0,1,0,0,0,0,0,2,1,0,1,0,0,0,0,1,1,1,0,2,0,2,0,0,2,0,1,0,0,0,0,0,1,0,1,0,1 2,0,0,2,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,2,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,2,1,0,2,0,0,1,0,0,0,0,0,1,0,2,0,0,0,1,0,0,1,0,0,1,0,2,0,2,0,0,0,1,2,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,1,2,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,2,0,0,1,0,0,0,0,1,1,2,0,0,0,0,0,1,0,2,1,2,0,1,1,0,2,2,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,2,0,0,0,1,1,0,0,1,0,2,0,2,0,0,1,1,1,0,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,0,1,0,2,0,1,0,0,0,2,1,0,0,0,0,0,0,2,0,1,1,0,0,0,0,2,0,1,0,1,0,0,1,1,1,2,0,0,0,2,1,0,2,0,0,0,2,0,1,0,2,2,0,0,1,1,2,2,0,0,0,0,2,0,2,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,2,1,0,1,0,2,0,1,0,0,0,1,2,0,0,0,2,0,1,1,2,1,0,1,1,1,1,0,0,0,0,0,1,2,0,1,0,0,0,2,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,2,1,0,1,1,0,2,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,1,0,1,1,1,2,0,1,0,0,0,0,0,0,0,1,2,0,2,1,0,0,0,0,1,0,2,2,1,2,0,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,1,0,1,0,0,1,2,0,2,0,0,0,1,0,1,0,0,0,0,2,0,0,0,1,0,0,1,0,1,0,0,1,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,2,0,1,0,1,1,0,2,1,2,1,2,0,0,1,2,0,0,0,0,0,0,0,1,0,0,2,1,2,0,0,0,0,0,2,1,0,0,0,1,1,0,0,0,2,0,1,0,0,0,0,1,2,0,2,1,0,1,0,0,1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,2,0,1,1,0,2,0,1,0,1,0,0,1,0,0,0,1,2,0,0,1,1,0,2,0,2,0,0,1,2,2,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,1,2,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,1,1,1,2,0,0,1,1,2,1,1,0,1,0,0,1,1,1,0,2,0,1,0,2,0,0,1,2,0,1,0,2,1,1,1,0,0,1,0,2,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,2,0,1,1,0,1,2,1,0,1,1,0,0,0,1,0,1,0,0,1,0,1,1,2,0,1,0,2,1,0,0,2,0,0,1,2,1,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,1,2,0,1,1,0,0,1,0,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,2,1,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,2,0,1,0,0,0,0,0,1,0,1,1,2,2,2,1,1,0,0,2,1,0,0,1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,1,2,1,1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0,1,0,2,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1 0,0,0,1,0,0,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,1,2,1,0,0,1,0,1,0,0,0,2,2,0,1,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,2,1,0,0,0,0,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,2,1,0,1,0,0,1,0,0,1,0,1,0,0,0,2,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,2,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,2,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,2,1,1,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,1,1,0,0,1,0,1,2,1,0,0,2,1,0,0,0,0,0,0,1,0,0,0,1,2,1,1,0,1,1,0,0,1,0,0,0,1,2,0,2,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,1,2,1,0,1,0,2,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,2,0,1,1,0,0,1,1,1,0,0,2,0,1,0,1,0,0,2,1,1,1,0,0,1,1,0,2,0,2,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,2,0,1,0,0,0,0,0,1,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0,1,0,2,0,0,0,1,0,1,1,1,0,2,0,0,0,0,0,1,0,2,1,0,0,0,2,0,1,0,0,0,0,0,0,1,2,0,0,1,1,0,0,0,1,0,0,0,0,2,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,2,1,0,1,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,1,2,1,0,0,0,0,1,0,0,2,0,0,1,1,0,0,0,0,0,0,2,0,2,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,0,1,2,0,0,2,0,2,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,2,0,0,0,1,2,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,2,1,1,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,1,1,1,2,0,0,0,0,1,0,1,0,2,0,1,0,2,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,2,0,2,2,0,2,0,0,1,2,0,1,0,1,0,1,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,1,0,1,0,1,2,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,2,0,0,0,0,1,2,1,1,1,0,2,0,0,0,2,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,1,2,1,0,1,0,2,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,2,0,0,0,0,1,0,0,2,0,1,2,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,1,2,1,0,1,0,0,2,0,1,0,2,1,1,0,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,2,1,0,0,0,1,0,0,2,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,0,1 0,0,1,0,0,1,1,1,2,0,2,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,2,2,0,1,0,0,1,0,1,0,0,1,0,0,1,2,0,1,1,1,0,0,0,0,1,0,0,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,1,0,2,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,2,0,1,0,2,2,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,1,2,0,0,2,1,2,0,2,0,0,0,0,1,1,1,0,0,1,0,0,2,1,0,1,2,0,2,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,2,0,0,1,1,0,1,2,0,1,1,0,0,1,2,0,0,1,0,0,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,2,0,0,0,0,1,0,1,2,1,0,0,1,0,0,1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,2,0,1,2,1,0,1,1,0,0,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,1,2,1,1,1,1,0,0,0,0,1,0,0,2,0,1,1,1,0,1,2,1,0,0,0,2,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,1,0,0,2,1,0,2,1,0,0,1,1,1,0,0,0,2,0,0,0,1,0,1,0,1,0,2,0,0,0,0,0,1,0,1,1,2,0,1,1,1,0,0,0,2,1,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,1,1,0,1,2,0,0,0,0,0,0,0,0,1,1,0,1,0,2,0,2,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,2,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,2,0,1,0,2,1,2,1,0,0,1,0,0,1,0,0,1,0,0,0,0,2,0,1,2,1,1,0,1,0,1,0,1,0,2,1,0,1,1,0,0,0,0,2,2,2,2,1,0,1,1,0,2,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,2,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,2,0,0,0,0,2,1,1,0,1,1,1,1,1,0,0,0,1,1,2,2,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,1,1,1,0,1,2,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,1,2,1,2,0,1,0,0,0,0,2,1,1,0,0,1,0,2,0,2,0,0,0,1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,2,0,1,1,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,2,0,2,2,1,0,2,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,2,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0,1,1,1,1,1,0,2,1,0,0,0,0,0,0,1,1,0,1,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,2,0,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,2,0,0,0,0,0,1,0,2,0,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,1,2,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1 1,0,1,1,0,1,0,1,0,1,1,2,0,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0,0,2,0,2,2,1,2,0,0,1,2,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,2,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,2,2,0,2,0,1,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,2,0,1,0,0,1,0,1,1,1,1,1,1,2,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0,1,1,0,1,1,1,1,2,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,1,2,0,0,0,0,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,1,2,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0,0,2,0,1,1,1,2,2,1,0,0,0,0,1,1,0,0,1,0,1,0,1,2,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0,0,1,0,2,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,1,2,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,2,1,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,1,0,0,2,1,1,2,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,2,1,1,1,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,1,0,1,2,0,2,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,2,0,0,1,0,1,1,0,2,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,1,0,1,2,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,2,0,1,1,2,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,2,1,0,0,0,1,0,1,1,1,0,2,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,1,0,0,1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,2,0,0,0,0,1,2,1,1,1,0,0,0,0,0,1,0,0,0,0,2,1,1,0,1,0,0,1,0,0,1,0,0,1,1,2,2,1,1,0,0,2,2,0,1,2,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0,1,1,0,2,1,0,0,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0,2,0,1,0,0,0,2,0,1,0,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,1,0,2,0,0,0,0,0,1,2,1,0,1 0,0,1,0,0,0,1,0,0,0,2,1,0,2,1,0,0,0,0,0,0,0,0,1,1,2,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,1,2,1,0,0,0,0,0,1,0,0,0,0,0,0,2,0,2,0,1,1,1,1,0,1,1,1,1,0,1,0,0,2,0,0,0,0,0,1,0,2,0,0,0,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,2,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,2,2,2,0,1,1,2,1,1,0,0,0,1,0,2,0,0,2,0,0,0,1,1,0,0,0,0,1,1,0,0,1,1,1,0,1,2,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,0,1,1,1,2,0,1,0,0,1,0,0,2,0,0,0,0,0,0,2,1,0,1,1,0,0,0,1,1,0,0,0,0,2,0,1,2,1,0,0,0,0,0,1,0,2,2,0,0,2,0,1,1,1,0,1,0,0,1,0,1,1,0,1,1,1,1,0,2,0,0,1,1,0,0,0,0,0,0,0,0,2,2,0,1,0,1,0,1,0,1,1,1,2,1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,1,2,1,0,1,0,2,0,1,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,2,0,0,0,0,0,0,1,0,2,0,1,1,1,0,2,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,2,1,1,1,1,0,2,2,1,0,0,0,0,1,1,1,1,2,1,2,0,1,2,0,1,0,0,0,0,1,1,0,0,1,1,1,2,0,0,1,0,0,1,0,1,0,0,0,0,1,2,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,1,0,2,1,0,1,0,1,0,0,0,0,0,0,1,0,0,1,2,2,0,0,0,0,0,1,1,0,2,2,1,1,0,0,0,1,0,0,2,1,1,0,0,0,0,2,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,2,1,0,1,0,0,0,0,0,1,1,0,2,0,1,0,1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,1,2,1,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,2,0,0,0,2,2,0,0,0,0,1,0,0,0,1,1,1,0,1,2,2,1,0,0,0,1,0,2,0,1,1,0,0,2,0,0,0,0,0,1,1,1,2,1,1,0,1,0,1,2,2,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0,2,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,1,2,0,0,0,0,1,0,1,1,0,0,0,2,0,2,2,0,1,0,0,1,0,0,1,0,0,2,0,1,0,0,1,0,0,1,1,1,1,1,0,0,2,0,0,1,0,0,0,0,2,1,0,0,2,0,0,1,0,0,0,0,2,1,2,0,0,1,2,0,1,0,1,0,2,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0,2,2,0,2,2,0,1,0,0,0,1,0,1,0,0,0,2,1,1,1,0,0,0,0,0,1,0,2,1,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,2,0,0,2,1,1,0,0,1,0,1,1,0,1,1,1,2,1,0,0,1,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,2,0,1,0,0,1,1,0,0,1,0,2,1,1,0,0,0,0,0,0,2,0,0,2,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,2,0,1,0,1 0,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,2,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,2,2,1,1,1,0,1,0,0,0,2,0,0,1,0,1,2,1,0,1,1,0,0,0,0,1,0,2,2,1,2,0,1,1,1,1,1,0,0,0,0,1,1,2,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,1,1,1,1,2,1,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,1,2,0,1,0,0,2,0,0,0,0,2,0,1,0,1,1,2,2,1,1,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,2,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,2,0,1,0,1,0,0,1,0,0,0,0,1,1,1,1,2,1,1,0,0,0,1,0,0,0,0,1,1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,2,1,1,0,1,0,0,0,2,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,2,0,2,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,2,0,0,1,1,1,0,2,1,0,0,2,0,0,2,0,0,1,0,2,1,0,1,2,1,0,0,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,2,1,1,0,2,0,1,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,2,0,1,1,1,0,1,0,0,0,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,2,1,0,0,1,1,0,0,0,0,1,0,2,1,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,2,2,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,2,1,1,1,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,1,1,2,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,2,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,2,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,2,0,1,0,0,0,1,0,1,0,0,0,0,2,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,2,1,1,0,0,0,0,1,0,2,1,0,0,1,1,1,0,2,0,1,0,2,0,0,1,2,1,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,2,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,2,0,1,1,0,0,0,0,0,2,0,0,0,1,1,1,0,1,1,0,0,0,0,0,1,2,0,0,1,1,0,0,0,2,0,1,0,1,0,0,0,0,1,0,2,2,1,0,0,0,0,0,1,0,2,1,0,0,1,0,0,0,1,0,0,0,2,0,0,2,1,0,0,0,0,1,0,1,1,0,0,2,0,0,0,1,0,0,1,0,1,0,0,1,0,0,2,0,0,0,1,0,0,2,0,0,0,2,1,0,0,0,1,0,0,0,1,0,0,2,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0,2,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,1,0,1,2,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,1,1 0,1,1,1,0,1,0,1,0,2,1,0,0,1,1,0,1,2,0,0,1,0,0,0,2,2,0,1,0,0,2,0,1,0,1,0,1,2,0,2,1,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,1,1,1,0,1,2,0,1,2,1,1,0,0,0,0,0,1,0,0,2,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,2,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,2,1,0,0,0,0,1,2,0,1,0,1,2,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0,1,1,1,0,0,2,1,0,0,0,0,2,0,1,0,0,0,2,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,1,2,2,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,1,0,0,1,1,2,1,0,1,0,1,2,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,1,1,1,0,1,1,2,0,0,1,0,1,1,0,0,2,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,1,2,1,0,1,0,1,2,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,1,1,0,2,1,1,0,1,1,1,1,0,1,0,1,1,0,1,0,2,1,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,1,0,1,1,1,1,0,2,0,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,1,0,2,1,1,0,0,0,0,0,1,0,0,0,2,1,0,1,0,1,1,1,0,2,0,1,0,0,0,0,0,1,0,1,1,1,1,2,1,0,2,0,0,1,0,1,0,0,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,1,1,1,1,1,2,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,2,0,1,1,0,0,0,1,2,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,2,0,0,2,0,1,1,1,0,0,2,0,2,0,1,0,0,1,0,1,1,2,2,0,0,2,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,2,0,1,0,0,1,0,0,0,1,1,2,0,1,1,0,0,0,0,1,1,0,0,0,1,1,0,1,1,2,0,0,1,0,0,0,0,2,0,0,2,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,2,0,0,1,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,2,1,1,0,1,1,0,0,1,1,0,2,1,1,1,1,0,0,1,0,0,0,0,1,1,1,2,0,0,0,2,0,0,0,1,2,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,1,0,2,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,1,1,0,1,0,0,1,1,1,1,2,0,1,0,2,0,0,2,1,0,1,0,1,0,0,0,1,0,2,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,2,0,0,0,0,1,0,1,0,0,0,2,0,0,0,1,2,0,1,0,1,0,0,1,1,2,1,1,0,0,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,2,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,1,2,1,0,0,0,1,0,0,2,0,1,0,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,0,1,2,2,1,0,0,1,0,0,0,0,1,1,2,0,1,1,0,0,0,1,1,1,0,1,1,0,2,0,0,0,0,0,2,0,0,2,1 0,0,1,2,1,1,0,1,1,1,0,1,1,2,1,0,0,1,0,0,0,0,2,0,2,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,2,1,0,2,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,2,2,0,0,2,0,1,0,0,0,0,1,0,2,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,1,2,0,0,2,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,2,1,2,1,0,0,1,0,0,0,1,0,0,0,2,2,2,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,1,1,0,2,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,2,0,0,1,1,0,2,0,0,0,0,1,1,1,1,1,2,1,0,0,2,0,1,0,0,0,1,0,0,1,2,0,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,2,2,1,0,2,1,2,0,0,0,0,1,2,1,1,0,0,1,1,0,1,1,2,0,1,0,0,0,1,0,1,1,2,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,2,0,2,2,0,1,1,0,1,1,0,0,1,0,2,1,0,0,1,1,0,1,1,2,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,2,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,2,1,0,1,2,0,0,0,0,2,2,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,1,1,2,2,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,2,2,0,1,0,0,2,0,0,2,0,2,0,0,0,1,1,1,2,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,2,2,2,0,0,1,0,0,0,0,0,0,0,0,0,2,1,2,0,1,1,0,0,1,0,0,1,2,1,1,1,1,2,1,0,2,0,1,0,0,0,0,0,1,1,0,1,2,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,1,2,0,0,0,0,1,0,0,0,1,2,0,0,0,1,0,1,0,0,2,1,2,0,0,1,0,0,0,0,0,1,0,0,2,1,0,0,2,2,0,1,1,1,1,2,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0,1,2,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,2,0,1,1,2,0,0,1,0,1,1,2,0,2,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,1,1,1,2,0,0,0,2,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,1,0,1,1,1,1,1,1,0,0,2,1,0,1,1,0,1,0,1,1,0,0,0,1,2,0,1,0,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,2,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0,1,2,1,2,2,1,2,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,2,0,0,0,1,0,2,0,1,0,2,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,2,2,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,0,2,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,2,2,0,2,0,0,0,1,1,0,1,0,1,2,0,1,1,0,0,0,0,1,2,1,0,0,0,0,0,1,1,0,1,0,0,2,1,1,0,0,1,0,0,0,0,1,2,0,0,1,0,0,1,2,2,0,1,0,0,2,1,0,0,0,1,0,0,1,1,1,1,0,1,0,1,0,2,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1 1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,1,1,1,2,0,2,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,2,0,0,1,0,0,0,0,1,1,0,2,2,2,0,1,0,0,1,0,1,0,0,0,2,0,1,2,0,1,0,0,0,0,0,0,1,1,0,2,0,0,1,0,1,2,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,1,2,1,1,2,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0,1,2,1,0,1,0,2,0,1,0,0,0,1,0,0,0,1,2,1,2,0,1,0,0,0,0,1,0,0,1,1,1,0,0,2,0,0,2,1,0,1,0,0,0,1,1,0,1,2,0,0,1,2,0,0,0,0,1,1,1,0,0,0,2,1,1,1,0,1,0,0,2,1,0,0,0,0,2,1,0,0,2,0,0,0,2,1,0,1,0,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,1,2,1,2,1,1,0,0,2,0,1,1,0,0,0,2,2,1,0,0,0,0,0,1,2,0,0,0,0,2,1,1,2,2,1,0,1,1,0,0,2,0,0,1,1,1,2,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,1,0,2,0,1,0,0,1,0,0,1,0,1,2,0,0,2,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,2,1,0,1,0,1,0,0,0,1,1,0,2,0,1,1,1,0,1,1,2,0,1,0,1,1,1,0,2,0,0,1,1,0,0,0,2,0,1,0,1,0,1,0,1,1,0,0,0,0,0,2,0,1,0,0,0,0,0,1,1,1,1,0,0,1,0,2,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,1,1,2,1,0,0,0,0,0,1,0,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,2,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,2,0,1,1,0,2,2,0,1,0,0,0,1,1,1,0,0,0,0,0,2,1,0,0,0,1,0,0,1,1,0,2,2,0,1,0,1,0,0,0,1,1,1,0,0,0,0,0,2,0,0,1,1,1,0,0,0,0,1,2,1,2,1,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,2,1,1,2,1,0,2,0,0,0,0,1,0,0,1,0,2,0,1,0,0,2,1,1,1,2,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,1,2,1,0,0,0,1,1,1,0,0,0,0,2,1,0,0,0,0,2,1,0,0,1,0,0,0,0,1,0,2,1,1,0,1,1,0,2,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,1,1,2,0,1,1,0,0,1,0,2,0,0,1,0,0,2,0,1,1,0,0,0,1,1,0,0,2,2,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,1,2,0,0,0,0,0,1,2,1,1,0,2,1,1,0,0,2,0,0,0,0,2,2,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,1,1,1,2,1,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,1,0,0,0,0,1,1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,2,2,0,1,1,1,1,0,0,1,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,2,0,1,0,0,0,0,0,2,1,2,1,1,2,0,1,0,0,0,0,0,2,0,1,1,0,0,1 0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0,2,2,1,2,0,1,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,1,2,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,2,0,0,1,0,1,0,0,0,2,1,1,2,0,0,0,0,2,1,0,0,1,0,0,1,0,0,0,0,2,0,1,0,1,0,1,0,2,0,0,1,0,2,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,2,1,0,0,0,0,1,1,1,0,0,0,0,1,0,1,1,1,1,0,2,2,0,1,0,2,0,0,0,0,0,0,1,0,1,1,0,1,0,0,2,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0,2,0,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,2,1,1,1,0,0,1,1,1,1,0,0,0,1,1,1,1,0,0,1,2,1,0,1,0,1,0,0,1,0,1,2,1,1,2,0,2,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,1,0,0,1,0,0,0,2,0,0,0,1,0,0,2,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,2,0,2,0,2,0,1,0,1,0,0,0,2,1,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,1,1,1,0,1,1,1,1,0,2,0,2,0,0,2,1,0,0,0,1,1,1,1,2,0,0,0,1,0,0,0,0,0,0,2,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,2,0,0,0,2,0,0,0,0,1,0,1,0,2,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,2,1,0,1,2,1,1,2,2,2,1,0,0,0,0,0,1,0,0,2,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,1,1,0,1,1,0,1,2,0,0,1,0,0,1,0,0,2,0,1,1,1,2,1,0,0,1,2,1,1,2,0,0,0,0,0,2,1,0,1,1,0,0,2,1,0,0,0,0,2,0,2,1,0,1,0,1,0,0,1,1,1,1,2,0,1,0,1,1,2,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,2,1,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,2,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,1,1,0,2,1,1,0,0,0,1,2,0,1,2,1,0,0,1,1,2,0,1,0,0,0,1,0,1,1,0,0,1,0,1,2,0,1,0,0,1,1,0,1,1,0,1,1,1,1,2,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0,2,0,1,1,1,0,1,0,2,1,1,2,0,2,1,0,1,0,0,1,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,1,1,0,2,2,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,1,2,0,1,1,0,0,0,0,0,1,2,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,2,0,1,1,0,2,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,2,0,2,1,0,0,0,0,0,1,0,1,1,0,0,0,2,0,1,0,0,0,1,2,1,2,2,0,0,0,1,2,0,0,0,0,1,1 1,0,0,0,1,1,1,0,1,2,0,0,0,2,0,0,0,1,0,0,0,0,2,0,0,1,0,2,0,0,2,0,1,1,2,0,2,0,0,0,1,1,2,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,1,2,0,0,0,2,0,0,0,1,1,2,2,0,1,1,1,0,0,1,0,0,0,0,2,0,1,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0,0,2,1,0,1,1,0,0,1,1,1,2,0,0,2,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,2,0,0,1,0,1,0,2,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0,1,1,1,1,2,0,1,0,0,1,1,2,0,0,0,2,0,1,1,0,0,0,0,0,0,1,0,1,1,2,0,0,1,1,1,1,0,2,0,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,2,0,1,1,0,1,1,0,1,1,1,0,1,2,0,0,1,1,0,0,0,1,2,1,1,0,1,1,0,1,0,0,1,0,1,2,0,0,0,1,0,0,0,1,2,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,2,0,0,2,1,1,1,0,0,0,2,0,1,0,0,0,2,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,0,0,0,2,1,0,0,0,1,1,1,0,1,0,0,0,1,2,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,2,2,1,0,1,0,2,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,2,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,2,0,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,1,1,0,2,2,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,2,1,1,0,0,1,0,0,0,0,0,0,0,0,0,2,1,1,1,2,2,0,1,2,1,0,1,0,2,1,0,0,1,0,0,2,0,1,2,1,1,0,0,0,0,1,1,0,0,0,0,2,0,0,2,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,2,1,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,2,1,2,2,2,0,1,0,2,1,2,0,0,0,0,0,0,0,1,0,1,1,1,2,1,1,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,2,0,1,1,2,0,1,2,1,1,1,2,0,1,1,0,0,1,0,0,0,0,1,2,0,1,0,1,1,0,1,1,0,1,0,0,1,1,0,2,1,2,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,2,0,0,0,1,1,1,1,0,0,0,2,2,2,1,0,0,1,1,0,1,1,1,0,1,1,2,0,1,1,2,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,1,2,0,0,1,1,0,2,0,0,1,0,1,0,0,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,1,2,0,1,0,0,0,1,1,0,2,1,1,0,0,1,1,0,1,0,0,0,1,1,1,1,1,0,0,2,0,0,1,0,1,1,1,0,1,1,0,0,0,2,0,0,1,1,2,0,0,0,1,1,1,0,0,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,1,0,1,2,0,0,0,2,0,0,1,0,1,0,0,0,0,0,1,1,1,0,1 0,0,1,1,1,0,0,2,0,0,1,2,0,0,1,0,0,1,0,0,0,0,2,1,0,0,0,1,0,0,2,0,1,1,0,0,1,1,0,0,0,1,1,2,0,1,0,0,0,0,2,0,1,0,0,0,1,1,1,1,0,0,0,1,0,1,1,2,1,0,1,0,2,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,0,2,0,0,1,0,2,2,0,0,0,0,2,0,1,0,2,1,0,1,1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0,2,1,0,0,0,0,1,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,2,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,2,1,1,0,1,0,1,1,0,2,1,1,1,1,0,1,0,0,1,0,0,1,0,2,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,1,0,0,2,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,1,0,0,0,1,0,1,1,0,2,0,0,1,1,2,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,2,1,0,1,1,1,1,1,0,1,0,0,2,2,0,0,1,1,0,0,1,0,2,1,0,1,0,0,0,0,2,1,0,0,0,1,1,1,0,2,1,1,0,2,2,0,0,0,0,0,1,0,0,0,1,2,1,1,0,1,1,1,0,0,0,0,2,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,2,1,1,0,2,0,0,1,1,1,0,1,1,1,0,1,1,0,2,0,1,1,0,0,1,1,1,0,1,0,0,0,0,2,0,0,2,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,2,2,0,0,2,0,1,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,2,0,2,0,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,2,1,1,0,0,0,1,1,2,1,2,0,0,0,0,2,0,0,0,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,2,1,1,1,0,0,0,0,1,0,1,1,1,0,0,2,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,2,0,2,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0,2,0,1,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,2,0,1,0,2,0,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,1,2,0,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,1,1,1,0,1,0,0,2,2,1,0,1,0,0,1,1,0,1,0,0,1,0,1,2,2,1,0,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,2,1,1,1,1,0,0,0,0,2,1,1,2,0,2,0,1,0,0,1,0,2,1,2,0,2,0,0,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0,2,0,0,1,1,1,0,1,0,2,0,0,1,1,0,1,2,0,2,1,1,1,0,0,0,1,0,1,1,1,0,1,1,2,1,1,0,0,1,0,0,1,1,0,0,0,1,0,1,2,0,2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,1,0,1,2,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,2,0,2,1,1 1,0,1,1,0,0,0,2,1,1,0,0,0,2,1,1,0,1,1,0,0,0,0,0,1,2,0,0,0,0,1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,1,1,2,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,2,1,2,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,2,1,0,0,1,1,2,0,0,1,1,1,0,0,0,2,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,1,0,1,1,1,1,2,0,1,0,0,1,1,1,0,1,2,2,1,1,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,2,0,0,0,1,0,0,0,1,1,1,1,1,2,0,0,1,1,0,1,2,0,1,1,0,0,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,1,2,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,2,0,1,0,0,0,0,0,1,0,1,1,1,0,2,0,0,0,1,1,0,0,0,2,0,1,0,1,0,0,1,2,0,0,1,1,1,0,1,0,0,0,0,0,1,1,1,1,2,2,0,0,2,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,2,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,2,1,1,1,0,0,1,2,0,1,1,1,0,0,0,0,0,0,0,0,1,0,1,2,0,2,0,0,0,0,0,0,0,2,1,1,2,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,2,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0,2,0,1,1,2,0,0,1,0,0,1,1,0,0,1,0,1,2,0,1,1,0,2,1,1,0,0,1,0,1,0,2,1,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,2,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,1,0,1,0,1,2,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,2,2,0,0,0,0,1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0,2,2,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0,2,0,2,1,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,1,1,0,0,2,0,0,1,0,1,0,1,2,2,0,0,0,1,1,0,0,0,1,0,1,0,2,2,0,0,0,2,0,0,0,1,1,1,0,1,1,1,1,0,0,0,2,0,1,2,0,0,2,1,0,0,0,1,0,0,0,0,1,0,1,0,1,2,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,2,1,1,0,1,0,1,1,1,1,1,0,0,0,0,2,0,1,1,1,2,1,1,1,1,0,0,0,1,1,0,0,2,0,2,0,1,0,1,0,1,0,0,2,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,2,1,1,0,1,0,0,0,1,0,0,1,2,0,1,1,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0,2,1,0,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,1,0,1 0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,1,0,1,2,0,0,1,0,0,0,0,0,2,0,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0,0,2,0,0,1,1,1,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,2,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,2,0,0,0,1,0,0,0,0,2,0,0,2,0,2,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,2,0,1,0,0,1,0,2,0,0,1,1,2,0,0,1,0,0,1,0,1,1,2,1,0,0,0,0,1,0,0,1,0,0,2,0,0,0,1,2,0,0,1,1,1,0,0,1,1,0,2,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,2,0,0,0,1,0,2,0,0,0,1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,2,0,1,2,2,0,0,0,1,1,1,0,0,1,0,0,0,0,2,0,0,0,1,0,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,2,2,0,0,1,0,0,0,0,1,0,2,0,1,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,1,2,0,2,0,1,0,0,0,0,1,2,0,1,0,1,1,1,1,0,0,2,0,1,0,0,0,1,1,0,2,0,0,0,1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,2,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,2,2,0,0,0,0,1,1,1,0,1,2,0,0,0,0,1,0,2,0,2,1,1,0,0,0,1,1,1,1,1,0,0,1,0,0,2,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,2,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,2,0,1,0,0,1,0,2,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,1,1,2,1,2,0,1,1,1,0,0,0,0,0,0,1,0,1,1,0,2,0,0,0,0,1,0,1,2,1,0,1,2,0,0,0,0,1,0,0,1,0,0,0,2,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,2,1,0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0,2,0,1,1,0,1,0,0,0,0,1,1,0,0,0,2,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,1,1,0,1,0,2,1,0,0,0,1,1,0,0,1,1,1,2,1,1,1,0,1,2,1,0,0,0,2,0,1,0,1,0,1,0,0,0,1,0,0,0,1,1,1,0,1,1,0,0,1,2,0,1,1,2,0,0,1,0,1,0,0,0,1,1,1,1,1,1,1,2,1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,1,2,0,0,0,0,0,1,2,0,1,0,1,2,1,0,2,0,0,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0,2,2,0,0,1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,1,0,2,0,0,0,1,1,0,1,1,0,0,2,0,0,2,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,2,0,0,0,0,1,0,0,1,1,0,0,1,2,0,0,0,1,2,1,2,0,0,0,0,0,0,2,1,0,2,0,0,0,1,1,0,2,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0,2,0,1 0,0,2,1,0,0,1,0,0,2,1,0,1,0,1,1,1,1,2,0,0,0,0,0,1,1,0,1,0,0,0,0,2,1,0,0,1,1,0,1,1,2,1,0,0,0,0,1,1,1,1,1,0,0,2,0,1,0,1,0,0,0,0,0,0,0,1,1,2,1,2,1,2,0,2,0,2,0,0,1,1,0,1,1,1,1,1,0,1,0,1,2,0,0,0,1,0,0,1,0,1,2,2,0,0,2,0,0,0,2,1,1,1,1,0,1,0,0,1,2,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,2,1,0,0,0,0,2,0,1,2,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0,2,1,0,1,0,1,1,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,1,2,2,1,0,2,1,0,0,1,2,1,0,0,0,0,1,0,0,0,0,2,1,1,2,0,0,1,1,0,1,0,2,0,0,2,1,2,0,1,0,0,0,0,1,1,0,1,0,0,0,0,2,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0,0,2,0,0,2,0,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,2,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,1,0,2,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,2,0,0,1,0,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,2,0,0,0,0,0,1,0,0,0,0,1,0,0,0,2,2,1,0,1,0,0,0,0,0,0,1,0,2,1,0,0,0,0,0,1,0,1,2,2,1,1,0,1,0,1,1,1,0,2,0,1,0,1,0,0,2,2,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,1,1,1,1,1,0,1,1,0,1,0,0,1,2,0,0,0,0,2,1,0,1,0,1,1,1,1,1,1,2,1,1,1,1,0,2,0,2,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,1,1,2,2,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,1,1,2,1,0,1,0,0,0,0,1,0,2,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,2,0,1,0,0,0,1,1,0,1,2,0,0,0,0,1,1,1,0,0,1,0,0,0,1,1,1,2,0,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,1,1,1,0,0,2,1,1,0,1,0,0,2,1,2,0,1,1,1,0,0,1,1,1,0,0,0,0,2,0,0,0,2,1,1,1,1,0,1,2,2,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,2,0,0,0,0,0,1,1,0,0,2,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,2,1,0,0,1,0,0,1,2,0,0,0,1,1,2,1,0,0,0,0,0,2,2,0,1,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,2,0,1 0,0,1,1,0,0,0,0,0,1,0,1,0,2,1,0,0,2,0,0,0,0,0,0,1,1,2,0,0,1,1,0,0,0,0,0,2,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,2,0,1,0,0,0,2,0,0,0,0,2,0,2,0,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,2,1,0,0,1,0,1,1,1,0,2,2,0,1,0,1,1,0,0,0,1,2,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,2,1,0,0,2,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,2,0,0,1,0,1,1,0,1,0,2,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,2,1,0,1,0,0,0,0,0,0,1,0,1,2,0,1,0,1,0,1,2,0,1,0,1,0,1,1,0,1,1,1,0,0,1,2,1,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,1,1,0,0,2,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,2,1,0,0,1,1,0,0,0,1,1,1,1,0,1,1,0,0,1,1,2,0,2,0,0,2,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0,2,0,0,1,1,1,1,1,1,0,1,0,0,1,2,1,0,0,1,0,0,2,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,2,0,1,1,1,1,1,0,0,0,0,1,1,2,0,0,2,0,1,0,0,1,0,2,0,0,0,0,0,0,1,1,2,1,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,1,2,1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,2,0,1,0,2,2,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,1,1,1,0,0,2,0,1,0,2,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,2,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,1,0,0,1,2,1,1,2,0,0,0,1,1,2,0,1,0,0,0,0,0,0,0,0,0,2,1,0,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,2,2,0,1,1,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,2,0,2,0,0,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,1,0,1,0,2,1,0,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,2,2,2,1,1,0,0,0,0,1,0,1,1,0,2,0,0,2,0,2,1,0,2,0,0,2,0,1,1,1,0,1,0,1,2,1,1,1,1,2,1,0,1,0,2,0,0,1,1,2,1,2,1,0,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,0,0,2,0,1,0,0,0,2,0,0,1,1,0,0,1,1,0,0,1,0,2,0,1,0,0,0,1,0,0,0,0,2,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,2,1,0,1,2,0,0,1,0,0,2,1,2,0,0,0,0,1,1,2,1,0,0,0,1,1,2,1,0,0,0,1,2,0,0,0,0,0,1,0,0,1,0,1,2,0,1,1 1,0,1,1,1,1,0,1,1,2,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,1,1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,2,0,0,0,0,0,2,1,1,0,0,1,1,2,1,1,0,1,1,0,0,0,0,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,2,1,1,0,1,0,1,1,1,0,1,0,1,1,0,2,1,0,0,0,0,0,0,2,0,2,0,1,0,1,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,2,2,0,0,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,2,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,1,2,0,1,1,0,0,0,1,0,1,0,1,2,2,0,0,2,0,0,0,0,1,0,0,0,2,1,1,1,0,0,0,2,1,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,1,1,0,0,0,2,2,1,2,0,2,0,0,0,1,1,0,1,1,0,2,0,0,1,0,0,0,0,1,1,0,1,0,0,2,1,0,0,1,1,1,0,2,0,0,1,0,1,2,0,0,1,0,1,2,1,0,0,1,0,0,1,0,1,0,0,0,0,1,2,1,0,2,2,0,0,1,1,0,0,0,0,2,1,1,2,0,0,2,2,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,1,0,1,0,0,1,0,1,2,0,1,0,0,0,0,0,1,0,2,0,0,1,0,0,0,2,0,1,0,0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,1,1,1,2,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,2,0,1,0,2,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,1,2,1,2,0,0,0,0,0,2,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,2,1,0,2,0,0,2,1,0,0,1,1,0,1,0,0,0,0,1,1,1,1,0,1,0,1,0,2,0,2,1,1,2,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,1,1,1,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,2,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,2,2,1,0,0,0,0,1,0,1,0,0,1,1,0,2,2,1,0,1,0,1,0,2,0,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,2,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,2,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,1,2,1,0,2,1,0,0,1,2,1,1,0,1,1,1,1,1,0,0,2,0,1,0,1,0,1,0,0,1,0,2,2,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,1,1,1,0,0,0,2,0,2,0,1,0,0,0,1,0,2,0,1,1,0,0,0,2,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,1,0,1,0,2,1,2,1,0,0,0,2,0,0,0,0,1,0,1,0,1,0,0,1,0,0,2,0,0,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0,1,2,2,0,2,1,0,0,0,0,1,0,1,0,1,0,0,2,2,1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,1,1,0,1 1,0,1,1,0,0,0,1,0,1,2,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,2,1,1,0,1,1,1,0,0,0,0,0,0,2,0,0,1,1,1,1,2,1,0,1,2,1,1,2,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,2,0,1,1,0,0,1,1,0,0,1,0,0,2,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,2,1,1,2,1,1,0,0,0,0,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0,1,1,2,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,1,0,0,2,2,0,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,2,1,0,1,0,2,0,0,0,2,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,2,1,0,0,1,1,1,1,0,1,0,2,1,0,0,1,2,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,1,1,2,0,0,0,1,1,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,1,1,1,0,0,0,2,1,0,0,1,0,1,2,1,1,1,1,1,1,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,2,0,1,1,1,2,0,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,2,0,0,1,0,0,0,0,0,1,1,0,1,1,0,1,1,0,1,1,2,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,2,1,0,2,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,2,0,0,0,0,0,0,0,1,0,2,1,1,0,0,0,2,0,1,0,0,0,2,1,0,2,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,1,2,1,1,2,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,2,0,0,0,0,0,1,1,1,0,0,0,0,1,0,2,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,2,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,2,0,0,0,1,0,1,0,0,0,1,1,0,2,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,1,2,1,0,0,0,0,2,0,1,0,1,2,0,1,0,1,0,0,0,2,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,2,0,1,1,1,0,1,1,2,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,2,1,1,1,0,1,0,0,2,1,0,2,1,1,1,1,1,0,0,2,0,0,1,2,0,2,1,0,0,0,0,0,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,1,0,1,1,1,2,1,0,0,1,0,0,2,1,1,2,1,0,0,0,0,2,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,1,1,2,0,0,0,0,0,1,1,0,0,0,0,1,0,0,2,0,1,0,0,0,0,0,0,1,2,0,1,2,0,0,1,0,1,0,1,0,2,0,0,1,1,0,2,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,1,2,2,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,2,0,0,1,0,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,1,1,1,0,1,2,0,1,2,1,0,1,0,1,0,0,2,0,1,1,1,0,2,1,0,1,0,0,1,0,0,0,0,1,0,1,0,1 1,0,1,2,0,0,0,0,0,1,2,1,0,1,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,2,0,0,1,0,0,0,2,0,0,2,0,1,0,0,0,1,1,0,1,0,1,1,0,0,1,2,0,1,0,1,0,1,1,0,1,1,1,1,2,1,0,0,0,0,0,2,0,0,0,0,0,1,2,1,0,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,2,0,1,1,2,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,2,0,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,2,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,2,1,0,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,2,1,0,0,2,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,1,1,1,1,1,0,2,1,2,0,0,1,2,0,0,1,1,0,0,0,1,0,0,2,1,1,1,0,1,0,0,0,1,1,0,0,0,0,1,0,1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,1,0,2,2,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,2,0,1,2,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,2,0,0,1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,2,0,1,0,1,0,0,0,0,1,1,0,0,0,1,1,1,1,0,0,0,1,2,0,2,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,2,0,0,1,1,1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,2,1,0,1,0,2,0,2,0,0,0,0,0,0,2,0,0,1,1,0,1,0,0,0,1,0,0,0,2,2,2,0,0,0,0,0,1,1,0,1,0,1,0,2,0,1,0,1,0,2,0,1,0,0,0,0,1,0,1,1,1,1,0,0,0,2,0,1,1,2,0,2,0,1,0,1,0,2,1,1,0,0,0,1,0,0,1,2,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,1,1,1,1,1,1,1,0,0,0,2,1,0,0,1,1,0,1,1,0,1,1,2,0,1,0,1,2,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,2,0,1,0,1,2,0,1,1,0,2,0,1,0,0,0,2,0,0,2,2,0,0,1,2,1,1,0,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,1,1,1,1,2,2,0,0,0,0,2,0,1,1,0,0,1,0,0,1,0,0,0,1,1,2,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,0,2,1,0,0,1,2,0,1,1,1,1,0,1,0,1,2,0,0,1,0,1,0,2,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,1,1,1,1,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,1,2,0,1,0,0,0,0,2,1,1,0,1,0,1,0,0,0,0,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0,1,1,0,0,2,0,0,0,1,0,2,0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,2,0,1,1,0,1,0,0,0,1,2,0,1,0,0,1,0,0,1,0,0,2,0,1,1,1,0,0,1,0,1,1,2,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,2,0,2,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,1,0,1 0,0,0,1,0,0,0,1,2,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0,2,0,2,0,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,2,1,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,2,1,1,1,0,2,0,1,0,0,0,1,0,1,0,1,0,1,1,0,2,1,1,0,1,0,1,1,1,0,2,1,1,0,1,1,2,1,1,1,0,0,1,0,1,1,2,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,2,1,0,2,0,1,0,2,0,0,0,1,2,1,0,0,2,1,2,1,0,0,0,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,0,2,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,2,1,0,0,0,1,0,2,0,1,0,1,1,0,1,0,0,0,0,0,1,2,0,2,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,1,1,0,1,1,1,0,0,2,1,0,1,1,0,0,0,2,1,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,2,1,1,0,1,0,1,1,2,0,0,1,0,0,2,1,0,0,2,1,0,2,0,0,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,2,0,0,1,0,0,0,0,2,1,2,0,2,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,1,0,1,1,2,2,0,0,0,0,1,0,0,1,1,0,0,0,1,1,0,2,0,2,0,0,0,0,0,0,2,1,0,0,1,2,1,0,0,1,0,0,1,0,0,0,1,1,1,0,0,0,2,0,1,1,1,0,0,0,1,2,1,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,1,0,0,2,2,2,0,0,1,1,0,1,0,1,2,0,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,2,0,1,0,1,1,0,0,1,0,1,0,2,0,0,1,0,1,2,0,0,0,1,2,1,1,1,0,0,0,1,0,1,1,0,1,0,2,0,1,1,0,1,0,0,0,1,0,1,1,0,2,0,0,1,0,0,1,1,0,1,1,2,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,2,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,2,2,0,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,2,0,1,1,1,0,0,0,0,2,0,0,1,0,1,1,0,1,0,0,0,2,0,1,1,0,1,2,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,1,0,0,1,0,2,1,2,0,1,0,1,0,0,0,2,0,1,2,0,0,2,2,0,0,1,0,0,1,0,1,1,0,1,1,1,0,1,0,2,0,0,1,0,0,0,0,2,1,0,0,0,0,1,1,1,2,0,0,0,0,0,1,1,1,0,0,0,0,1,2,1,1,0,1,0,0,0,0,0,1,1,1,1,0,1,2,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,2,0,2,0,2,0,1,1,0,1,1,1,2,0,0,0,0,1,0,0,0,0,1,0,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,2,0,1,0,0,2,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,2,0,1,0,0,0,0,2,1,0,1,1,0,0,0,2,0,1,2,0,0,0,0,1,0,2,0,0,0,0,0,1,1,1,0,0,0,1 1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,2,1,0,0,1,0,2,1,0,0,2,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,1,0,0,0,0,1,0,2,1,1,0,0,0,0,0,1,2,1,1,1,0,0,1,1,0,0,0,1,0,1,2,1,1,2,0,0,1,1,1,1,0,1,0,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,1,1,2,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,2,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,1,1,2,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,2,1,0,0,1,0,2,0,0,0,0,1,0,1,1,1,0,0,1,1,0,1,1,1,2,2,0,0,1,0,0,1,0,0,2,0,0,2,1,0,0,0,1,0,0,1,0,1,1,2,0,2,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,2,0,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,1,2,0,0,0,0,0,1,1,1,1,0,1,0,2,1,1,0,0,0,0,0,1,1,0,0,0,0,2,2,1,0,1,1,2,1,1,0,0,0,0,0,1,1,0,0,1,2,1,0,1,0,0,0,1,0,1,1,1,0,0,0,2,1,0,0,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,2,1,1,0,1,0,0,2,1,0,0,0,1,1,1,1,1,1,2,1,0,0,0,0,0,0,1,1,0,0,2,2,0,1,1,0,2,1,0,1,0,1,2,0,1,1,0,0,0,0,1,0,1,0,0,0,0,2,1,0,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,2,1,1,1,2,0,0,0,2,0,0,0,1,0,0,1,0,1,0,1,2,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,1,0,0,2,1,0,1,0,0,0,1,1,1,0,0,0,1,0,2,1,0,1,0,0,0,2,1,0,0,0,0,1,0,2,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,2,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,2,0,0,0,1,1,0,0,0,0,0,2,0,0,1,1,1,2,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,2,0,0,1,2,0,0,1,1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,2,1,1,2,1,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,2,0,0,0,2,0,0,0,1,2,0,0,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,2,1,1,1,1,0,1,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,2,1,0,1,0,1,0,1,0,0,0,1,2,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,2,0,1,0,1,0,2,1,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,2,2,1,1,0,0,2,0,0,1,1,0,1,0,0,1,1,0,0,0,1,1,1,1,1,2,0,0,1,2,2,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,1,1,1,2,0,0,0,0,0,1,1,0,1,0,1,0,2,1,1,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,2,0,0,0,1 0,0,1,1,0,0,2,2,2,1,2,1,0,1,1,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,1,0,1,2,0,0,0,1,1,1,1,0,1,1,1,1,1,2,0,0,0,0,0,1,1,1,1,0,0,1,2,1,1,1,1,1,0,0,1,0,1,0,1,1,1,0,1,2,2,0,1,0,0,0,1,0,2,0,0,2,1,1,1,1,0,0,0,1,2,1,0,1,1,2,1,1,0,2,1,2,1,0,1,2,0,0,1,0,1,0,0,0,1,0,1,1,2,0,1,0,0,1,1,0,1,1,1,0,1,1,2,1,2,0,0,0,0,2,0,0,1,1,0,0,2,0,0,0,1,1,0,1,0,0,1,0,0,2,0,2,1,0,0,0,0,0,1,2,0,1,1,1,1,1,0,0,0,0,0,1,2,1,0,0,0,0,0,1,2,0,2,1,2,1,1,1,0,1,0,0,1,0,0,0,1,0,0,2,0,0,0,0,0,1,1,0,1,2,1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0,2,1,0,2,2,0,2,1,0,0,1,0,0,0,0,0,1,1,0,1,0,2,1,0,2,1,0,0,1,0,1,1,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,1,1,0,1,1,0,0,1,0,0,0,1,2,0,1,0,1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0,0,2,1,2,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,2,2,0,0,1,0,0,0,2,0,1,0,0,0,1,0,1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,2,0,2,0,2,1,0,0,1,0,0,2,0,2,0,1,1,1,0,0,2,0,2,0,0,0,0,0,0,0,1,2,0,1,0,0,1,1,0,1,1,0,2,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,1,1,0,1,0,0,0,2,0,0,0,0,1,1,1,2,0,0,0,0,0,0,0,2,0,1,0,1,0,1,0,1,0,0,0,1,2,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,2,0,1,1,0,0,0,1,2,2,0,0,0,0,0,1,1,1,0,0,1,2,0,1,0,0,1,1,1,0,2,0,0,1,0,0,1,0,0,0,0,0,1,2,1,1,1,0,0,0,0,1,1,0,1,1,0,0,1,0,0,2,0,1,1,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,2,0,1,1,0,1,0,1,0,0,2,2,1,0,0,0,0,0,0,1,1,2,0,2,0,0,2,2,1,1,0,0,0,1,0,1,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,1,0,0,2,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,1,1,0,0,0,1,1,2,0,1,0,0,1,0,0,0,1,0,1,2,0,1,0,0,1,1,0,0,2,2,1,2,1,1,2,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,2,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,1,0,1,2,0,0,1,0,1,1,1,0,0,0,1,0,0,2,0,1,1,1,0,1,1,0,0,0,0,0,1,2,0,1,0,0,1,2,1,0,2,1,0,0,0,0,0,0,2,1,1,1,0,1,0,1,0,0,0,1,1,2,0,0,0,0,0,1,0,1,0,1,0,0,0,2,0,1,0,0,0,0,2,2,2,1,0,0,1,0,0,1,1,0,0,0,2,0,1,1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1 2,0,1,1,0,0,1,1,1,2,1,1,1,1,0,0,0,1,2,0,0,0,0,1,2,1,0,1,1,2,2,0,1,0,0,0,0,0,0,0,2,2,0,2,1,0,1,0,0,0,0,0,0,1,0,0,0,2,0,2,0,0,0,0,0,0,0,2,0,0,1,0,1,2,0,0,0,1,0,0,0,0,1,1,1,1,1,0,2,1,0,0,1,0,1,2,1,0,0,0,1,1,0,1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,0,1,2,0,1,0,0,1,1,0,1,0,1,0,2,1,1,0,0,1,2,2,0,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,2,0,0,1,1,2,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,2,0,2,1,0,0,2,1,0,0,0,1,0,0,1,1,1,1,0,0,1,0,1,0,1,1,1,0,0,2,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,1,0,1,0,2,0,1,0,0,0,1,0,0,0,0,0,0,1,2,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,2,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,1,1,1,2,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,1,1,0,2,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,2,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,2,0,1,0,1,0,1,0,0,1,0,0,2,0,0,0,2,1,1,2,0,1,0,1,2,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,2,0,1,1,0,1,0,2,1,0,1,1,0,1,0,0,1,2,2,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,1,0,1,2,0,1,1,0,0,1,2,0,0,1,0,1,0,2,1,1,2,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,2,0,1,0,1,1,1,0,0,2,0,1,0,0,1,0,0,0,0,1,1,2,0,1,1,1,1,2,0,0,1,0,1,2,0,1,0,1,0,0,1,1,1,2,2,0,2,1,1,1,0,1,1,0,0,0,1,0,2,1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,2,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,2,1,0,0,0,0,0,0,0,0,0,0,1,1,2,1,0,1,0,1,0,1,0,1,0,1,1,1,0,2,0,0,0,2,2,2,0,1,2,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0,1,1,2,0,2,0,1,0,0,2,0,1,2,2,0,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,1,1,1,1,1,2,2,1,1,0,1,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0,0,2,0,1,1,0,2,1,0,0,2,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,1,2,0,0,0,0,2,1,0,0,0,0,0,0,2,1,1,1,1,1,1,0,2,1,1,0,0,0,2,1,1,1,0,0,1,0,0,0,0,2,0,0,0,1 1,0,0,1,1,0,0,1,0,2,1,0,0,2,0,1,0,2,1,0,0,1,0,0,0,1,1,0,0,0,2,0,1,1,0,0,1,1,1,1,0,0,1,2,1,0,0,2,2,1,0,1,0,1,2,0,2,0,1,1,0,0,0,0,0,1,1,2,0,1,0,0,1,2,1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,2,0,2,1,1,0,0,1,0,1,0,0,0,0,1,1,1,1,2,0,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,2,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,2,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,2,0,1,0,0,1,0,0,1,0,0,1,1,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,2,1,1,0,1,0,0,0,0,1,1,2,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0,1,2,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,2,1,0,1,0,1,1,0,0,0,0,0,0,2,0,2,1,0,1,0,2,1,0,1,1,0,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,2,0,1,2,0,0,1,0,0,2,0,1,1,0,1,0,0,1,1,0,2,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,2,0,1,0,0,2,1,1,0,1,0,0,0,0,0,2,0,1,0,1,1,1,0,1,0,0,1,0,1,2,0,0,0,2,0,1,2,0,1,1,1,1,1,1,0,0,0,1,1,1,0,0,2,0,2,1,0,0,1,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,2,0,1,0,0,2,0,0,0,0,0,1,0,1,1,0,2,1,0,1,1,0,0,1,1,2,1,1,1,1,0,2,2,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,1,2,0,0,0,1,1,2,0,2,0,2,0,0,1,1,1,1,0,0,0,0,0,2,2,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,1,0,2,1,1,1,1,0,0,0,1,2,0,2,2,0,0,0,1,0,0,2,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,1,0,1,1,0,2,0,0,2,1,2,0,0,0,0,0,1,0,0,0,2,1,1,1,1,1,0,0,1,0,0,2,0,0,0,0,1,2,0,1,0,0,0,1,0,1,2,2,1,2,0,1,0,0,0,1,1,2,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,2,0,1,0,0,0,0,1,0,0,0,2,1,0,1,0,0,0,1,0,0,0,1,0,0,1,2,0,1,1,2,2,0,1,0,0,0,1,1,0,0,0,2,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,2,1,0,0,0,0,0,0,2,1,1,0,1,0,0,0,2,2,1,0,0,0,0,1,0,2,0,1,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,0,1,1,1,1,2,0,1,0,1,1,1,1,1,2,1,0,1,2,0,1,0,2,0,0,1,0,0,1,0,0,2,1,1,0,1,0,0,0,2,2,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0,2,0,2,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,2,1,0,0,0,0,0,1,0,0,1,1 0,0,0,1,0,0,0,0,0,2,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,2,2,0,1,0,0,1,0,0,0,1,1,0,1,0,2,1,0,0,0,0,0,0,0,2,0,0,0,2,0,0,2,1,0,1,0,0,1,0,1,0,2,2,0,1,0,0,2,0,0,1,0,0,0,2,0,0,1,1,1,1,0,0,0,0,2,0,0,0,0,0,0,1,0,0,1,0,2,2,0,0,0,1,1,0,0,0,1,1,2,0,0,0,2,0,2,1,0,0,0,0,2,0,0,1,1,0,1,0,0,0,0,2,0,1,0,0,0,2,1,1,0,0,1,1,0,1,0,0,1,0,2,0,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,2,0,1,0,0,0,0,0,0,1,1,1,1,0,2,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,2,0,1,2,0,0,1,0,1,1,1,1,0,2,0,0,0,1,0,0,1,1,0,0,1,0,1,0,1,2,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,2,0,1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,2,2,1,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,2,0,0,1,0,1,0,0,2,0,1,0,0,0,1,1,1,1,0,0,0,1,1,0,2,0,2,0,1,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,1,1,0,2,0,1,1,1,0,0,1,1,2,1,0,1,0,0,1,0,0,2,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,1,0,0,2,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,2,0,2,0,0,0,0,2,2,2,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,2,1,0,0,0,0,0,2,1,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,2,0,0,2,0,1,1,2,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,2,0,0,1,1,1,1,0,1,1,0,0,2,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,2,0,1,2,1,1,1,2,1,0,1,0,0,0,2,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0,1,0,2,2,0,0,0,1,1,0,1,0,0,1,0,0,1,2,1,2,1,1,1,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,1,1,0,0,1,2,1,1,0,0,0,0,0,1,0,1,2,1,2,1,2,1,1,0,0,0,0,0,2,0,1,1,0,0,0,0,2,1,1,0,0,0,1,0,0,1,1,1,0,0,0,2,0,0,0,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0,0,2,0,1,1,2,0,0,1,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,2,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,2,0,0,2,0,0,1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,1,2,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,1,1,1,1,1,0,1,1,0,0,0,1,1,1,0,0,1,1 1,0,0,2,0,0,2,1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0,2,1,1,1,0,0,0,0,2,1,0,0,0,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,0,2,0,2,1,2,1,0,0,1,2,0,1,0,0,0,0,1,0,2,1,0,1,0,0,0,1,0,0,0,2,0,1,0,0,2,0,1,1,0,0,1,2,1,0,1,0,0,1,0,1,2,1,0,0,0,0,1,1,0,1,0,2,0,1,0,2,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,2,1,0,0,0,1,0,0,2,0,0,1,0,1,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,0,0,1,1,0,0,2,1,1,1,0,1,1,0,1,0,0,2,0,0,0,1,1,0,0,0,0,0,0,1,1,1,2,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,2,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,2,0,0,0,0,0,1,1,0,1,0,1,2,1,1,0,2,0,0,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0,1,0,1,0,2,0,1,0,1,2,2,1,1,1,0,1,0,0,2,0,0,1,1,1,1,2,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,1,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,1,0,2,0,0,1,1,0,0,1,1,1,2,0,1,2,0,1,2,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,1,1,0,0,0,2,1,0,1,0,0,0,1,1,2,0,1,0,0,0,2,0,1,1,1,1,2,1,2,0,0,0,1,2,2,1,1,1,1,0,2,1,1,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,2,1,0,1,1,0,0,0,0,0,1,2,0,1,0,2,1,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,1,0,0,2,0,2,0,0,0,0,0,0,1,2,1,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,1,1,0,0,1,0,1,0,2,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,2,0,2,0,1,1,0,0,0,1,1,1,0,1,0,2,1,0,0,1,0,2,1,0,1,1,1,0,1,0,0,1,1,1,1,2,0,1,0,1,2,1,0,0,0,0,0,1,1,2,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,2,0,0,0,0,2,1,1,1,2,2,0,0,0,0,1,1,0,1,2,1,0,2,2,0,0,1,0,0,0,0,0,1,1,0,0,1,0,2,1,0,0,0,2,1,1,0,0,0,1,1,0,0,2,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,1,2,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,2,0,1,0,1,0,0,2,0,0,0,1,1,2,0,0,1,1,0,0,0,0,1,1,1,0,1 1,0,2,1,1,1,0,0,0,1,1,1,0,2,1,1,0,0,1,0,0,0,1,0,1,0,1,2,2,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,2,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0,2,0,0,0,0,1,0,1,0,0,0,0,2,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,2,0,1,0,0,1,1,1,2,1,0,1,1,1,1,0,0,1,0,0,2,0,1,0,0,0,0,0,2,0,0,1,0,2,1,1,2,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,2,2,1,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,2,2,1,0,1,1,1,0,1,1,1,0,0,2,1,1,0,0,0,0,0,1,1,2,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,2,0,1,0,1,0,2,1,1,2,0,0,2,0,1,2,0,0,0,0,0,1,1,0,0,1,0,0,2,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,1,1,2,0,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,1,1,1,1,1,0,0,2,0,0,1,1,2,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,2,0,0,1,0,2,0,0,0,0,0,0,1,0,1,1,1,1,1,0,1,0,1,2,0,0,0,0,0,0,1,2,1,1,0,1,0,0,1,1,0,0,0,0,2,0,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,2,0,1,1,1,1,1,0,0,1,0,1,0,1,1,1,2,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,1,0,2,0,0,0,1,0,1,0,0,0,2,0,0,0,1,1,1,2,2,1,1,0,0,1,1,1,0,0,0,2,0,0,2,1,0,1,0,1,2,2,1,0,2,0,0,1,0,1,0,0,2,0,2,2,0,0,2,0,0,1,1,1,0,2,1,0,1,0,2,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,2,0,0,0,1,0,1,0,1,0,0,0,1,1,1,1,0,0,1,0,2,0,0,0,0,2,1,1,0,0,0,0,1,0,0,0,0,2,2,0,1,1,2,2,1,0,0,0,2,0,0,0,1,0,0,2,1,1,2,0,1,2,0,1,0,0,0,1,0,0,0,1,0,2,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,2,0,1,0,0,1,0,0,0,2,0,1,2,0,0,1,1,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,2,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,0,2,0,0,0,1,0,1,2,2,2,1,1,1,0,0,1,1,1,0,0,2,1,2,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,2,0,1,0,0,1,0,2,0,1,0,0,0,0,1,0,0,0,1,1,2,1,0,0,0,0,0,1,0,1,0,0,2,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,2,2,0,2,1,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,2,0,0,1,2,0,0,0,1,1,2,0,1,0,0,0,0,1,0,0,0,1,1,1 1,1,0,1,1,0,1,0,0,2,0,1,1,1,0,0,0,1,0,0,0,0,0,0,2,0,0,2,1,0,0,0,0,0,2,0,2,0,1,0,1,1,0,1,2,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,2,2,0,1,1,1,1,1,2,0,0,0,1,1,1,1,0,2,0,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,2,0,2,2,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0,2,0,0,0,1,0,0,1,0,0,2,0,0,1,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,2,0,1,1,0,1,1,0,0,1,1,1,2,2,1,1,2,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,2,2,1,0,0,1,1,0,0,0,2,0,1,1,0,0,1,0,2,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0,1,1,0,1,0,1,2,0,0,0,2,0,1,1,0,2,0,0,0,1,0,1,1,2,0,1,0,1,0,1,1,2,2,1,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,1,1,2,1,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0,0,0,2,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,2,1,1,1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,1,2,0,0,0,0,0,1,2,1,0,0,0,0,0,1,0,0,0,1,1,0,1,1,1,0,1,1,1,1,1,2,0,0,1,0,0,1,2,0,1,1,0,1,1,1,0,1,0,1,2,0,0,1,1,0,2,1,1,2,1,1,1,1,0,1,2,1,0,0,0,0,0,1,0,0,1,0,1,0,2,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,1,2,1,2,0,0,2,1,1,0,0,0,0,0,1,0,0,1,0,2,0,0,0,2,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,2,2,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,1,2,1,2,0,2,2,0,1,0,1,0,0,0,0,1,0,0,0,2,2,1,0,0,1,0,1,1,1,1,1,1,1,2,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,2,0,0,0,1,1,1,1,0,0,1,0,0,0,2,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,1,2,0,0,0,2,2,1,1,2,1,0,2,0,1,1,1,1,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,1,1,1,1,2,1,0,0,1,0,1,0,0,0,0,0,1,1,1,1,1,0,2,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,1,2,0,0,0,0,1,1,1,0,0,0,0,1,1,0,2,0,0,1,0,0,1,0,0,0,1,2,1,2,0,0,0,1,2,2,0,0,0,1,2,1,0,0,2,1,2,0,0,2,0,0,1,1,0,0,0,0,1,0,1,1,1,1,0,0,1,0,2,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,1,1,0,0,0,1,2,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,2,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,0,0,1,2,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,1,2,1,0,1,2,1,0,0,0,1,0,2,0,1,0,1 2,0,0,0,1,1,1,0,0,2,2,2,1,2,0,0,0,1,0,0,1,0,1,1,1,0,0,2,0,0,2,0,1,1,1,0,0,1,0,0,2,2,1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,2,0,1,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,1,1,1,1,1,2,0,0,2,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,2,0,2,0,1,0,0,0,1,1,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,2,1,2,0,0,2,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,2,0,0,0,1,0,0,1,1,0,0,0,0,1,2,1,0,1,0,1,1,0,2,0,0,0,0,1,0,0,1,2,1,0,1,0,1,0,1,1,0,1,0,0,2,0,1,1,0,1,1,1,2,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,1,0,0,2,1,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,2,0,0,0,0,2,2,1,0,2,0,0,0,2,0,0,2,0,2,0,1,1,0,2,1,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,2,1,2,1,1,0,1,1,2,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,2,1,1,1,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,0,0,1,0,2,1,1,0,0,0,0,2,1,1,1,1,0,0,0,0,0,1,2,0,0,0,2,0,0,0,0,1,0,0,1,1,1,0,2,0,2,0,1,0,0,0,0,0,1,1,1,1,0,0,0,1,2,1,1,0,0,0,0,0,2,0,1,1,1,0,0,0,0,1,2,1,1,0,0,1,0,1,0,0,1,0,1,1,0,2,0,0,0,1,2,0,0,2,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,2,1,0,1,0,2,0,0,1,2,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,2,0,0,1,1,1,1,0,2,0,1,0,1,2,0,1,0,0,1,1,0,0,2,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,2,1,2,2,1,0,0,0,0,2,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,1,2,0,1,1,0,0,0,0,0,2,0,2,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,1,1,1,2,1,2,1,0,0,1,0,0,0,2,0,1,1,1,1,1,0,0,1,1,0,0,1,1,0,2,0,1,0,1,0,0,1,2,1,0,1,1,0,0,2,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,0,1,1,0,0,1,2,2,1,0,1,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0,2,0,2,0,2,0,0,1,0,1,0,1,1,0,0,0,1,1,2,1,0,1,1,0,0,0,1,1,0,2,0,1,1,1,0,1,1,0,0,0,0,2,0,0,1,1,1,1,1,0,2,0,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,2,1,1,1,1,0,2,0,0,0,1,1,1,0,0,1,2,0,0,0,2,1,1,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,2,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,1,2,0,2,1,2,0,1,1,1,1,0,0,1,2,1,0,0,0,1,1,0,0,2,0,1,0,0,0,1 1,0,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,0,2,2,0,0,0,1,0,2,1,1,0,1,1,0,1,0,0,0,0,2,0,0,1,1,0,2,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,2,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,2,0,1,1,0,1,2,0,1,0,1,1,0,1,1,1,2,0,0,0,2,0,2,2,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,1,0,2,0,1,0,1,1,0,1,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,1,2,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,1,2,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,2,0,1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,2,0,0,0,1,2,1,2,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,1,2,1,0,1,0,1,0,1,1,2,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,2,0,0,0,0,1,0,1,2,2,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,1,0,2,0,0,1,1,0,1,1,0,0,0,0,1,0,2,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,2,1,0,0,1,2,1,1,0,0,0,0,0,0,2,0,1,0,1,0,0,1,2,1,1,2,1,0,0,0,0,0,2,0,0,1,1,0,1,0,2,1,1,2,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,2,1,0,2,2,0,1,0,0,0,1,0,0,0,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,2,0,0,1,0,0,0,0,0,2,1,2,0,2,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,2,1,1,2,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,2,1,0,1,2,0,0,1,1,0,1,1,0,1,1,0,1,0,1,1,1,2,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,1,0,0,2,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,2,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,2,2,1,0,1,1,0,2,0,0,0,1,1,0,0,0,2,0,0,2,0,1,0,1,2,0,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,2,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,2,1,0,0,0,0,1,1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,2,1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,1,2,1,1,1,2,1,0,0,1,0,2,0,2,0,1,2,0,0,1,0,2,0,0,0,1,1,1,0,1,1,2,0,1,0,0,0,0,0,2,1,0,0,1,0,1,0,2,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,1,1,1,0,1,1,2,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,2,1,2,0,1,0,2,1,1,0,1,0,0,2,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,2,0,0,0,1,1,1,1,0,2,0,0,0,0,0,0,1,0,0,0,0,2,1,1,0,0,1,0,2,2,0,0,0,1,0,1,0,1,2,2,0,0,0,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,1,1,0,1 1,0,2,1,0,0,0,0,0,0,2,0,2,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,1,1,2,0,0,0,2,0,1,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,1,2,1,1,1,0,0,0,0,0,0,2,0,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,2,1,2,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,2,0,0,0,1,1,0,2,0,0,1,0,0,2,0,2,0,0,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,1,1,1,1,1,1,2,2,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,2,1,0,0,0,1,0,1,1,0,2,0,1,2,2,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,2,0,0,0,0,1,1,2,1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,1,1,1,2,1,0,0,0,0,0,1,0,0,1,0,0,1,2,2,0,0,0,0,1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0,2,2,1,1,1,1,0,0,1,1,2,2,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,2,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,1,1,1,0,1,2,0,1,0,2,0,0,0,1,0,1,0,0,1,0,1,0,1,1,1,0,2,0,2,1,0,2,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,2,1,1,0,0,1,0,2,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,2,1,0,0,0,0,0,1,0,0,2,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1,1,2,0,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,2,0,1,1,0,1,0,2,0,1,1,0,2,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,1,1,0,0,1,1,0,2,0,0,0,0,1,1,0,0,1,1,0,2,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,1,1,1,0,2,1,2,1,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,2,0,1,1,1,2,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,1,2,1,0,2,0,0,0,1,0,0,0,1,0,2,0,0,2,2,1,0,0,1,1,0,1,2,2,0,0,2,1,0,0,1,1,0,0,0,0,1,2,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,1,0,0,2,0,0,0,0,0,1,1,0,0,0,1,2,0,1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,1,1,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,2,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1 1,0,1,0,2,0,2,0,0,0,1,0,0,2,1,0,0,0,1,0,0,0,1,0,1,1,2,1,0,0,1,0,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,1,1,0,1,1,1,0,1,0,2,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,1,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,1,0,0,1,1,1,0,0,1,0,1,0,1,2,0,1,2,0,0,1,0,0,0,0,0,0,1,1,1,0,1,1,0,2,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0,1,1,2,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,2,0,1,2,1,0,0,1,1,0,1,0,0,1,0,0,0,0,1,2,1,0,0,0,1,1,0,0,0,0,1,2,0,2,0,0,0,1,0,2,1,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,2,0,0,1,1,0,0,1,0,1,2,0,0,0,1,1,2,0,1,1,0,0,1,1,1,2,0,0,0,1,1,0,0,0,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,1,0,0,1,1,1,2,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,2,1,2,0,0,0,1,1,0,0,1,0,2,0,1,0,0,0,0,1,0,0,2,2,0,0,1,0,0,0,0,1,2,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,2,2,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,2,1,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,1,2,0,1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,1,0,2,0,0,0,2,1,1,0,0,1,0,0,0,2,1,1,2,1,1,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,2,2,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,2,2,0,0,1,0,1,0,2,1,0,0,1,0,1,1,0,0,0,0,0,0,2,0,0,0,2,1,0,1,0,1,0,1,0,2,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,2,0,0,1,1,0,0,1,2,0,1,0,1,1,1,0,0,0,1,1,2,1,0,1,1,0,1,2,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,1,0,2,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,2,1,0,0,0,0,1,0,0,0,2,0,2,0,1,1,0,0,0,0,0,0,0,1,0,2,0,1,0,1,0,0,1,2,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,2,1,1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,2,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,2,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,2,0,0,0,2,2,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,2,1,2,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0,2,0,0,0,2,1,2,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0,1 2,0,1,0,0,0,0,1,0,2,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,1,2,0,0,1,0,1,0,0,0,1,0,1,0,2,0,1,2,1,0,1,0,1,0,2,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,2,1,1,1,0,1,1,0,0,2,2,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,2,1,2,0,2,0,0,0,1,0,2,0,1,0,0,1,1,0,1,1,0,0,0,0,0,2,0,1,0,0,2,0,0,0,1,2,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,2,1,0,0,0,2,2,1,0,0,1,0,0,0,0,1,2,0,0,0,1,1,2,1,0,0,0,0,1,1,1,1,0,0,2,0,2,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,2,0,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0,1,2,0,0,2,0,0,2,0,1,0,0,1,0,2,0,0,0,2,0,1,0,2,0,0,0,1,0,0,1,1,1,0,0,0,0,2,1,0,0,0,0,1,2,1,0,1,0,0,0,1,0,2,0,0,0,0,1,0,0,1,1,0,0,0,2,1,0,0,0,0,0,1,2,0,2,0,1,0,1,1,1,1,0,0,2,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,1,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,0,1,0,0,0,0,1,0,0,0,1,1,0,1,0,1,1,1,2,1,1,2,0,0,0,0,2,1,0,0,2,0,0,1,1,1,1,0,0,1,1,0,1,2,0,2,1,0,0,1,1,1,1,0,2,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,2,1,2,1,1,0,0,1,2,0,0,1,1,2,0,1,0,2,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,1,2,2,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,1,1,1,2,0,0,0,0,0,1,1,0,1,0,0,1,2,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,2,0,0,1,0,0,1,0,0,0,0,0,0,0,2,1,0,0,2,0,1,0,1,1,0,0,1,0,1,0,0,0,2,0,0,2,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,1,2,0,1,1,0,2,0,0,0,1,0,2,2,1,0,1,1,0,1,0,2,0,0,1,1,1,0,2,1,1,0,2,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,2,1,0,1,0,1,0,0,1,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,2,2,1,0,0,0,0,1,0,2,0,0,1,0,0,1,0,0,1,2,0,0,0,1,1,0,0,2,1,1,0,0,1,0,0,1,0,0,0,0,0,2,2,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,2,0,0,0,1,0,1,0,0,0,2,1,0,0,0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,2,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,1,0,1,1,2,0,1,0,1,1,1,0,0,2,0,1,0,0,0,0,0,1,0,1,2,0,0,1,0,0,2,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,0,2,1,0,0,0,0,1,0,0,2,1,1,0,0,0,1,0,2,0,1,0,1 1,0,1,1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,1,0,2,1,1,0,1,2,0,2,0,0,0,1,0,0,2,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,1,2,0,0,0,0,2,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,1,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0,1,1,0,2,0,1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,2,2,0,1,0,1,0,0,1,1,0,0,0,0,0,0,2,0,2,2,1,1,1,2,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,1,1,1,1,1,0,1,1,2,0,0,2,1,0,0,0,2,2,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,0,1,1,0,1,2,1,0,0,1,1,1,0,0,1,2,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,1,2,0,0,1,0,0,0,1,0,1,1,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,2,0,0,1,1,0,0,0,0,1,1,1,2,1,0,1,1,1,0,1,2,0,0,0,0,1,0,0,2,1,0,0,0,1,0,0,0,1,1,2,2,0,1,1,1,0,1,0,1,0,1,2,0,0,1,1,1,1,1,1,0,1,1,0,1,2,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,2,0,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,2,1,1,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,1,1,0,2,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0,2,1,0,2,0,0,0,0,1,0,1,1,2,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,2,2,0,2,1,0,0,0,2,2,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,1,1,1,0,2,0,0,0,1,1,0,0,1,2,0,0,1,2,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,2,0,2,1,1,0,1,1,1,0,0,0,0,0,1,1,2,1,0,0,0,1,0,0,2,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0,1,2,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,2,1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,2,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,2,1,0,1,2,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,1,1,1,0,1,2,0,2,1,0,0,0,1,1,2,0,0,1,1,0,1,1,1,1,0,0,1,2,0,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,2,2,2,0,2,0,0,2,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,1,2,1,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,1,0,0,0,0,1,2,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1 1,0,1,1,0,0,0,1,0,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,2,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,2,0,0,1,0,2,1,0,0,1,0,0,1,0,0,1,0,1,0,1,1,2,0,0,0,0,0,0,1,0,2,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,1,2,0,0,0,0,0,1,0,1,1,0,1,1,0,1,1,1,0,2,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,2,0,1,1,1,0,0,0,0,0,0,0,1,1,1,0,1,2,2,2,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,1,1,1,1,1,0,1,1,2,1,0,0,0,2,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,0,2,0,0,0,0,0,1,0,1,0,1,2,0,0,2,0,0,1,0,1,0,1,0,1,0,0,2,0,0,1,1,1,1,2,0,1,2,0,1,0,0,1,0,0,0,0,1,0,1,0,1,1,0,1,0,1,1,0,0,2,0,0,0,0,0,0,0,2,1,0,0,2,1,1,0,0,1,1,0,2,0,1,2,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,2,1,0,0,2,0,2,0,1,0,0,0,0,1,1,1,2,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,2,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,1,2,0,0,1,0,0,0,1,0,1,1,1,0,1,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,1,2,1,1,2,1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,2,0,1,2,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,2,0,0,1,2,1,0,0,0,0,0,0,0,1,0,0,1,1,1,0,2,0,1,1,2,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,2,0,1,1,1,0,0,0,0,1,1,2,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,2,1,0,0,2,1,1,2,2,1,2,1,0,1,0,0,2,1,1,1,1,0,0,1,1,0,0,2,1,0,0,1,0,2,1,2,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,1,0,2,2,2,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,1,0,2,1,1,1,0,0,0,0,0,0,1,0,1,0,0,2,0,0,1,1,1,2,1,1,0,0,0,1,0,0,0,2,1,2,0,0,1,0,1,1,0,0,2,0,1,0,1,0,1,0,1,2,1,0,0,2,1,1,0,0,0,0,0,0,1,1,0,2,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,0,2,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,1 2,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,1,2,0,0,0,1,0,1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,1,0,2,1,0,2,0,0,0,0,0,0,0,0,0,1,1,2,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0,0,2,1,0,1,1,0,1,2,1,0,0,0,1,0,0,1,1,1,1,1,2,1,1,0,1,0,1,2,1,0,1,1,0,1,0,1,0,0,1,0,0,0,1,0,1,1,1,1,1,0,2,0,0,1,1,1,0,2,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,2,1,1,0,1,1,0,1,1,0,0,0,2,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,0,0,1,0,0,2,0,0,0,1,1,0,1,0,1,0,2,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,1,2,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1,1,2,0,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,2,1,2,0,0,1,0,1,1,1,1,1,2,0,1,1,0,0,0,0,0,2,0,0,1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0,0,1,1,2,0,1,1,2,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,2,1,2,0,1,0,0,1,0,2,0,0,2,1,0,0,1,1,1,0,0,2,0,2,0,0,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,1,2,1,2,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0,1,0,2,1,0,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,1,2,2,1,0,0,0,0,1,1,0,0,0,1,0,2,0,0,1,0,1,2,1,0,1,0,2,2,1,0,0,0,0,1,2,0,2,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0,2,2,0,1,1,0,1,0,1,0,2,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0,2,2,0,1,0,0,0,0,1,0,0,1,0,0,1,2,0,0,0,0,1,0,0,0,2,1,0,1,0,0,1,0,0,0,1,0,0,1,0,2,1,0,0,1,0,0,0,2,1,0,1,0,2,0,0,1,0,1,0,1,2,1,0,0,2,2,2,0,1,0,1,0,0,0,1,0,1,1,0,1,1,0,0,2,0,0,0,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,2,0,0,1,0,2,1,0,2,0,1,0,1,0,0,0,0,2,0,0,1,1,2,2,0,0,1,0,0,1,1,1,1,1,1,1,1,1,2,1,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,2,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,2,2,0,1,0,1,1,0,2,0,1,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,0,1,0,2,0,0,0,1,0,0,0,0,2,1,0,1,0,1,0,0,0,2,1,0,1,0,0,1,0,0,0,0,1,0,0,2,0,1,0,0,2,0,0,1,0,1,0,0,0,1,0,0,2,1,0,1,0,0,2,2,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,1 0,0,2,1,1,1,0,1,0,1,2,0,0,0,0,0,0,1,1,0,0,0,0,0,1,2,1,1,0,0,1,0,2,0,1,0,0,0,1,0,0,2,0,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,2,0,1,1,0,1,0,0,2,0,1,0,1,0,1,1,0,2,0,0,0,0,1,0,2,1,0,0,1,2,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,2,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,1,0,0,2,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,1,0,0,1,0,1,2,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,2,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,2,1,0,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,2,1,1,1,1,0,0,1,1,1,2,0,0,0,0,0,1,1,1,0,2,0,0,1,1,0,0,0,0,0,2,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,1,0,2,1,2,1,0,0,1,1,0,0,0,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,2,2,0,0,0,1,1,2,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,1,2,1,2,1,0,0,1,0,1,0,1,0,2,1,1,0,0,0,0,1,1,0,1,0,1,0,2,0,0,1,2,0,1,0,1,0,1,0,0,1,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,2,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,1,0,2,0,1,0,0,1,2,0,0,2,0,1,0,1,0,0,0,0,1,0,0,2,0,1,0,1,1,0,0,1,0,0,0,2,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,1,2,1,1,2,1,0,1,1,1,0,2,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,2,0,0,0,0,1,1,2,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,1,2,2,0,0,1,1,0,0,1,1,0,1,2,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,1,2,0,1,0,0,0,1,1,0,0,1,0,0,2,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,1,1,0,2,1,0,0,0,1,0,1,0,2,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,1,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,1,1,0,2,0,0,0,1,0,0,0,0,0,2,1,1,1,1,1,0,0,0,0,0,2,2,2,0,1,0,1,0,0,1,2,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,1,2,1,0,0,1,1,1,0,0,1,1,1,0,2,0,0,0,0,1,1,0,0,0,1,2,1,2,0,0,0,1,1,1,0,1,1,0,0,2,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,2,0,0,0,0,1,2,0,0,2,0,1,1,0,1,0,0,0,0,2,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,2,0,2,0,1,0,2,1,0,1,1,0,1,0,0,0,0,2,0,0,1,1 0,0,2,2,1,0,0,2,1,0,1,2,0,1,1,0,0,2,2,0,0,0,1,0,1,0,0,2,0,1,1,0,1,0,0,0,0,2,2,1,2,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,2,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,1,1,0,0,0,0,0,0,2,0,0,0,1,1,0,0,2,0,0,2,1,0,2,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0,1,2,0,1,0,0,0,1,1,2,0,2,1,0,0,1,0,0,0,1,0,1,0,0,1,0,1,1,1,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,2,2,1,0,1,0,0,0,0,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,2,1,0,0,2,1,2,0,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,0,1,2,1,2,2,0,1,0,0,0,1,2,2,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0,1,1,1,2,0,0,2,0,0,1,0,2,0,1,2,2,0,0,1,0,1,2,2,1,1,0,1,0,1,1,1,0,0,0,1,0,2,1,0,0,0,2,0,0,0,0,1,0,0,1,1,0,0,1,0,2,2,0,1,0,1,1,0,1,0,0,2,0,0,1,1,0,0,0,2,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,1,1,0,0,1,1,0,0,0,2,1,2,0,2,1,1,0,1,0,2,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,1,1,2,2,1,0,0,0,0,1,2,2,0,1,0,0,0,2,0,1,0,0,0,0,0,1,0,0,1,1,0,1,1,0,1,0,1,2,0,2,1,1,0,1,0,1,0,0,1,0,2,1,0,1,0,0,0,1,2,0,0,0,2,0,2,1,0,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,2,0,2,0,0,2,1,0,1,0,0,1,0,0,0,1,0,2,0,0,1,0,0,0,1,0,0,1,1,0,0,2,2,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,1,1,2,1,0,2,0,0,0,0,0,1,1,0,0,1,0,0,2,1,0,1,0,0,0,2,1,1,2,0,1,0,0,2,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,2,0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,1,0,1,1,1,1,1,1,0,0,2,1,0,0,0,0,0,0,2,0,0,0,2,0,1,1,1,0,1,0,1,1,0,0,2,1,0,0,1,0,0,0,0,2,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,2,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,1,0,2,0,0,0,0,1,1,2,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,2,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,2,1,1,2,0,1,1,1,0,0,1,0,2,0,0,0,1,0,0,0,0,0,2,0,0,0,2,1,0,1,1,1,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,2,1,0,1,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,0,2,1,2,1,1,0,0,1,0,0,1,1,0,0,0,0,0,2,2,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,2,0,2,1,0,1,0,0,0,0,1,2,0,0,1,1,1,2,0,0,0,0,0,2,0,0,1,0,0,0,1,0,0,1,0,2,1,0,1,0,0,0,1,0,1,1,1,1,0,2,1,0,0,1,0,1,1,2,0,0,0,0,0,0,2,0,2,2,1,0,1 0,0,1,1,0,0,0,1,1,2,1,1,1,1,1,1,0,2,1,0,1,0,0,1,1,1,0,2,0,0,0,0,1,2,1,0,1,1,0,0,1,0,0,2,2,0,0,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,2,1,0,2,0,0,0,0,0,1,0,0,0,1,1,2,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,2,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,2,0,0,1,0,0,0,1,0,1,2,1,2,0,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,2,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,2,1,1,1,2,1,1,1,0,2,0,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,2,1,0,1,1,1,1,0,1,0,0,0,2,0,2,0,2,0,1,1,0,0,1,1,0,1,2,1,2,1,0,1,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,2,0,1,1,1,0,1,1,1,0,0,0,0,0,2,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,1,0,1,1,0,0,0,0,0,1,1,1,2,0,0,1,1,1,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,2,0,1,1,1,2,1,1,1,0,0,0,0,2,0,0,0,1,1,1,0,1,0,1,0,0,2,0,0,0,1,0,2,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,0,1,1,2,1,0,2,2,0,1,0,0,2,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,2,0,0,1,0,0,1,1,0,1,1,1,1,0,0,1,1,0,1,2,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,1,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,1,2,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,2,1,0,1,1,1,2,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,2,0,0,0,0,0,2,1,1,1,2,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,2,0,1,1,0,0,2,1,1,1,0,0,2,0,1,1,0,0,0,0,0,1,1,0,0,2,0,1,1,0,0,1,0,0,0,1,2,0,1,0,0,1,0,0,0,0,0,2,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,2,0,1,0,0,0,0,1,2,1,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,1,1,1,1,1,2,0,0,1,2,0,0,1,0,0,0,0,1,1,1,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,2,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,2,1,1,1,1,0,0,0,0,0,2,1,1,2,0,0,1,0,0,0,0,0,1,0,0,1,1,2,2,1,0,2,0,1,0,0,2,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,1,0,0,2,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,2,0,1,0,0,0,1,0,1,2,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,1,1,2,1,1,0,1,0,1,1,0,0,0,1,2,0,0,1,0,1,1,0,0,1 1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,2,1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0,2,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,1,0,2,0,1,1,1,1,1,0,0,0,0,0,1,1,2,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,2,0,1,1,0,1,0,1,1,0,0,0,1,0,2,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,2,0,0,0,0,1,1,0,0,0,2,1,1,1,1,0,2,1,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,1,2,1,1,0,0,0,0,1,0,2,1,1,1,1,0,0,0,0,2,0,2,1,1,0,0,0,1,0,0,1,1,1,0,0,1,2,0,1,0,2,0,0,0,1,0,0,1,0,1,2,0,0,0,0,2,0,1,1,1,1,2,0,0,0,1,2,0,1,0,1,0,0,1,0,2,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,1,2,2,1,0,0,1,1,2,2,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,1,1,0,2,1,1,0,1,0,0,1,0,1,0,1,1,1,2,2,0,1,1,0,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,1,2,0,0,0,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,1,1,0,0,2,0,0,0,1,2,0,1,2,0,0,0,0,0,0,0,0,1,2,2,0,0,2,2,1,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,2,0,0,1,0,0,0,0,0,1,2,1,0,2,0,2,0,0,1,0,0,0,2,0,0,2,1,0,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,2,0,2,1,1,1,1,1,1,0,1,0,0,0,2,0,0,1,0,1,1,1,2,0,0,0,0,0,0,0,2,0,2,1,1,1,0,0,0,2,1,1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0,1,1,0,1,2,0,0,0,1,0,2,1,1,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,0,2,1,0,1,0,2,2,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0,1,2,1,1,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,2,0,0,0,1,1,0,0,1,1,0,0,0,1,1,1,2,0,1,0,1,0,2,1,0,1,2,1,0,0,2,0,0,1,1,1,1,0,0,1,0,0,0,2,1,0,1,1,0,2,0,1,1,1,2,2,0,1,0,0,1,0,2,1,1,1,0,1,1,0,1,0,1,0,2,0,0,0,0,0,0,0,1,0,0,2,1,1,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,2,0,1,0,1,0,0,1,1,0,1,0,2,0,2,1,0,0,1,0,0,1,0,1,1,0,0,0,2,1,1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,2,1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,1,2,1,0,0,0,2,0,2,1,0,2,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,2,0,0,0,0,0,1,1,0,0,2,0,0,0,1,0,0,0,0,0,1,1,1,2,1,1,0,0,1,1,0,0,1,2,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,2,1,1,2,1,1,1,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,1,1,1,1,0,1,0,1,1,0,0,2,1,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,1,2,0,1,0,1,0,1,2,2,1,1,0,0,1,2,1,1,1,1,2,0,0,0,0,0,1,1,1,0,1 0,0,0,2,1,1,0,1,1,2,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,2,0,0,0,0,0,2,1,0,0,0,2,0,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,1,2,1,0,1,0,0,1,1,2,1,1,2,0,0,0,1,1,1,2,1,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,1,1,2,2,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,1,1,1,2,1,0,1,1,1,1,2,0,1,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,2,0,1,2,0,1,0,0,0,2,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,1,1,1,1,2,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0,2,1,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,2,1,2,0,1,0,1,0,1,0,0,0,1,1,1,0,1,1,2,0,1,0,0,1,0,0,1,0,1,1,1,2,1,0,1,1,1,0,1,0,2,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,2,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,2,2,0,0,0,1,0,2,1,0,2,1,0,0,0,2,1,1,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,2,0,1,2,0,1,0,0,2,1,0,0,0,0,0,0,0,1,1,2,1,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,2,0,0,2,0,0,2,0,2,0,2,1,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0,2,1,1,0,2,2,0,0,2,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,2,2,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,1,0,2,0,1,2,0,0,0,2,1,0,0,0,1,0,2,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1,1,2,1,0,0,1,0,2,2,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,2,0,0,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,0,2,1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,1,1,0,0,1,1,0,1,0,0,0,0,2,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,1,2,1,1,2,0,0,0,0,0,0,0,1,0,2,0,0,1,1,0,0,0,0,0,2,2,0,1,2,0,0,1,0,1,1,0,0,0,1,2,1,0,0,0,0,1,0,1,1,1,1,0,0,0,2,1,2,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,2,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,2,2,1,0,1,2,1,1,0,0,1,0,0,1,1,1,2,0,0,0,1 1,0,1,1,1,0,0,1,1,1,2,0,1,2,0,0,0,0,1,0,0,0,2,0,0,1,0,1,0,1,0,0,1,2,0,0,0,0,1,1,1,1,1,0,2,0,0,0,0,0,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,2,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,0,0,2,0,1,0,2,0,1,1,0,1,1,1,0,0,2,1,0,1,0,1,0,1,0,0,2,1,2,0,2,0,0,2,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,2,1,0,1,0,0,0,0,0,2,0,2,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,2,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0,1,2,2,1,1,0,0,0,0,1,2,0,0,1,1,0,0,0,0,0,1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,2,0,2,1,0,0,0,1,1,1,0,2,0,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,1,0,2,2,0,1,0,0,2,0,1,0,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,2,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0,2,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,2,1,0,0,0,1,1,0,1,0,1,2,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,2,0,2,2,2,1,1,1,0,0,1,0,0,0,0,1,0,2,0,0,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,1,1,0,1,2,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,2,0,0,1,2,0,0,0,0,0,0,0,0,1,0,2,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,1,1,0,1,1,1,1,1,0,2,1,0,0,1,1,1,0,1,0,0,0,1,0,2,0,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,2,1,1,0,0,2,0,0,2,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,2,0,2,0,0,1,1,0,1,1,2,0,1,1,2,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,2,0,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0,0,0,2,0,0,1,2,0,0,1,1,0,2,0,0,0,1,0,1,0,2,0,1,1,0,0,1,0,1,0,0,0,2,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,1,2,0,0,1,1,2,0,1,1,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0,2,0,1,0,1,0,1,2,0,1,0,1,1,1,1,1,0,2,0,2,1,0,0,0,0,1,0,1,0,2,0,0,0,0,1,2,0,1,0,0,0,0,0,0,1,0,1,2,0,0,1,1,0,1,2,0,1,0,0,0,1,0,1,1,2,0,1,1,1,0,0,1,1,0,0,0,0,0,0,2,0,1,1,0,0,2,0,2,0,0,1,0,1,1,0,0,2,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0,0,2,0,0,0,0,1,0,1,1,0,0,0,0,2,0,0,1,0,0,1,0,1,1,0,0,0,0,2,0,2,1,0,1,0,2,1,0,0,0,0,0,1,1,0,1,1,1,0,1 1,0,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,2,0,1,0,0,0,1,0,0,0,0,0,0,0,2,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0,1,0,1,0,2,2,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,1,2,1,0,0,0,0,0,0,0,2,0,2,0,1,0,1,1,0,0,0,0,0,1,2,2,1,1,1,0,2,1,0,0,0,2,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,2,1,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,2,1,1,0,1,0,1,0,2,1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,1,1,0,2,2,0,0,0,0,1,0,0,1,0,2,0,0,0,1,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,2,1,0,1,0,0,1,0,2,0,0,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,2,1,0,0,1,0,0,2,2,1,0,0,0,0,2,0,0,1,0,0,1,1,0,0,0,2,0,1,0,0,1,0,1,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,1,0,0,2,0,2,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,2,1,1,1,0,1,0,0,0,0,1,0,2,0,0,1,2,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,2,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,2,1,0,2,0,0,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,2,1,0,0,2,0,0,1,1,0,0,0,0,1,0,1,1,2,0,2,0,0,0,1,2,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0,2,0,0,0,0,0,0,0,1,1,2,1,1,0,0,1,0,0,0,0,1,1,1,0,1,0,0,1,1,1,1,2,2,1,2,0,0,1,0,1,2,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,2,1,1,0,2,1,0,0,1,0,2,1,1,1,0,1,0,2,0,1,0,2,0,0,0,0,1,2,1,1,1,0,1,1,0,2,1,2,0,2,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,1,0,0,1,0,2,0,1,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,2,1,1,0,0,0,0,2,1,2,0,1,1,0,1,0,0,0,0,1,0,1,1,0,1,1,0,0,1,2,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,1,1,0,0,1,0,0,2,0,0,1,0,1,0,0,0,1,1,0,2,1,0,2,0,0,0,0,0,0,2,1,0,2,1,1,0,0,0,1,0,0,0,1,1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,2,0,1,0,2,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,2,0,1,2,0,0,0,1,0,0,0,0,0,1 1,0,1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0,1,1,1,2,0,0,1,0,0,0,0,0,1,0,0,0,1,2,0,2,1,1,0,1,0,1,1,0,0,0,0,0,2,1,2,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,1,2,1,2,0,0,0,0,1,2,1,0,1,0,1,0,1,2,0,1,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,2,1,1,1,0,1,0,0,0,0,2,0,0,0,0,1,0,0,2,1,0,0,2,0,0,1,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,1,1,2,1,0,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,2,0,0,1,0,0,2,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,1,1,1,0,0,0,1,2,1,1,0,0,0,0,0,0,1,1,0,1,2,2,0,1,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,1,1,1,1,1,0,2,0,0,1,2,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,0,2,2,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0,1,2,1,0,0,2,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,2,0,0,0,0,1,2,1,0,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,2,1,0,0,1,0,0,0,2,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,2,0,2,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,2,1,0,1,0,0,1,0,0,0,0,1,0,1,2,2,0,0,0,1,1,2,0,0,0,1,1,0,1,1,1,0,0,2,1,1,1,0,0,0,1,2,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,1,1,0,1,1,0,0,2,0,0,0,0,1,1,1,0,0,0,0,0,1,2,0,2,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,2,1,2,1,1,1,0,1,1,2,1,1,2,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,2,0,0,0,1,1,0,0,2,0,0,2,0,1,0,1,0,2,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,1,2,1,2,1,0,0,0,0,1,1,2,1,0,0,0,0,0,1,2,1,0,1,0,0,0,0,0,2,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,1,1,2,1,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,2,1,0,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,1,2,1,0,1,0,1,1,2,0,0,1,1,1,2,0,1,1,2,1,1,0,1,1,1,0,2,2,2,2,1,1,0,0,1,0,0,0,0,1,1,2,0,1,0,0,0,1,0,0,0,0,0,2,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,1,1,0,1,1,1,1,1,1,0,0,1,2,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,2,1,0,1,0,1,0,2,0,1,2,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,2,1,0,0,0,0,1,0,1,0,2,1,0,0,2,1,0,1,2,0,0,0,0,1,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0,1,2,1,1,0,0,1,1,0,2,0,0,1,1,0,0,1,0,1,0,0,1,1 1,0,1,1,1,1,1,0,1,2,2,1,0,1,2,2,0,1,0,0,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,2,0,0,0,0,0,0,2,0,2,0,1,0,0,0,1,2,1,1,0,1,2,0,2,0,2,1,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,1,1,0,0,2,1,0,0,1,0,1,2,1,0,2,0,0,0,1,2,1,0,0,2,1,0,0,0,2,1,2,0,1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,1,2,0,1,1,1,0,0,1,0,1,2,0,0,0,0,1,2,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,2,0,2,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,1,1,0,0,0,1,2,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,2,0,0,1,0,2,0,0,0,0,1,0,1,2,0,0,2,0,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,1,1,2,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,2,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,2,1,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,2,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,2,1,0,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,2,1,0,1,0,0,1,1,0,0,1,1,2,0,1,0,0,0,0,1,0,0,0,0,2,1,1,0,1,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,1,1,1,1,0,0,1,1,0,0,2,0,1,0,0,0,1,1,1,1,1,0,0,1,2,1,0,0,0,2,0,0,0,0,1,1,0,1,0,1,1,1,1,1,2,1,0,1,0,0,1,0,0,2,1,0,1,1,0,2,0,2,2,2,2,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,1,1,0,0,1,0,0,0,1,0,0,0,1,2,0,0,0,1,1,0,1,0,0,0,2,0,1,0,2,0,2,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,2,0,1,0,1,0,0,0,2,2,2,0,0,0,0,1,1,0,0,1,0,1,0,1,2,1,1,2,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,1,0,0,0,2,0,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,2,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0,1,0,2,0,1,1,1,2,0,1,1,1,0,0,1,0,0,0,0,1,1,2,1,2,2,1,0,0,0,0,0,0,1,1,0,2,2,1,0,0,1,1,0,0,1,1,1,2,0,0,2,0,0,0,0,1,0,2,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,1,0,0,0,1,1,2,1,0,2,0,0,1,0,1,0,0,0,0,0,2,0,0,1,0,1,0,1,1,0,1,0,0,2,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,2,0,0,0,1,1,0,0,1,0,0,0,1,0,2,1,0,1,0,2,0,0,0,1,0,1,0,0,2,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,2,2,0,0,1 1,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,1,1,0,1,0,2,0,0,0,1,0,1,0,0,0,0,2,1,0,0,2,0,1,1,2,1,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,1,1,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,2,0,1,0,1,0,1,1,0,1,0,1,0,1,0,2,1,2,1,0,1,0,0,1,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,2,0,0,1,0,2,1,1,2,1,0,1,0,2,1,0,0,1,0,0,0,1,1,0,1,0,1,2,0,0,0,0,0,1,0,0,2,1,0,1,0,0,1,1,0,0,1,2,0,0,0,1,0,0,0,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,2,0,1,0,2,0,1,0,1,0,1,0,0,1,0,2,0,2,2,0,0,1,0,0,2,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,2,1,1,0,0,2,1,2,0,0,1,0,0,2,0,0,0,0,0,0,2,0,1,1,0,1,2,0,1,2,2,0,0,2,0,1,0,1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,2,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,2,1,1,0,0,0,0,0,2,1,0,0,1,1,0,1,1,1,0,0,2,1,1,0,1,0,0,0,0,0,0,0,0,0,2,0,0,2,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,2,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,2,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0,2,2,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,2,0,1,0,1,0,0,0,1,0,1,0,1,0,1,2,2,0,0,0,0,0,1,0,0,1,1,0,0,2,1,2,0,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,2,0,2,1,0,0,2,1,0,0,1,0,0,0,1,1,1,2,0,1,1,0,0,0,1,1,2,1,0,0,0,0,2,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,1,2,1,0,2,2,1,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,2,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,1,0,2,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,2,1,0,0,0,0,0,1,1,2,0,0,2,0,1,0,0,0,1,0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,2,1,2,0,0,0,1,2,0,0,1,0,1,1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,2,1,2,1,0,1,0,1,0,0,1,0,0,0,0,0,1,1,2,2,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,2,1,0,2,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,2,0,1,1,0,0,0,1,1,0,2,0,0,1,2,1,0,0,0,0,0,0,0,1,1,2,1,2,0,1,0,0,0,0,1,0,1,1,0,0,0,1,1,1,1,0,1,0,2,1,0,0,1,0,0,0,0,1,0,1,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,2,0,0,0,0,1,0,0,2,0,0,1,0,0,0,1,0,1,0,1,2,1,2,1,2,0,0,0,0,1,1,1,1,2,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1 2,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,2,2,0,0,1,0,1,1,0,0,1,1,0,0,1,0,0,2,0,0,0,0,1,2,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,2,2,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,2,2,0,0,0,0,1,0,1,0,0,2,1,1,1,1,0,0,1,1,1,0,0,2,1,1,1,0,2,1,0,0,1,2,0,0,1,0,2,0,0,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,2,1,1,1,0,0,0,0,0,0,1,2,0,0,0,2,0,1,0,0,2,1,0,2,1,0,1,0,2,0,1,1,1,0,2,0,0,0,0,1,0,2,1,0,2,1,2,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,2,0,1,0,1,0,1,1,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,1,2,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,2,2,0,1,0,1,0,1,0,0,2,0,0,0,0,0,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,2,0,2,1,0,0,1,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,2,0,0,0,0,1,0,0,1,2,0,0,1,0,2,0,2,0,2,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,1,2,1,1,2,0,1,0,1,2,1,0,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,2,0,0,0,1,1,2,1,0,1,0,0,1,1,2,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,2,0,1,2,1,0,2,0,0,1,1,1,0,0,0,1,2,1,0,2,2,0,2,0,1,1,0,1,0,2,0,1,0,1,0,1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,2,0,1,0,1,2,2,0,0,1,1,0,2,0,0,0,1,1,1,0,0,1,1,0,0,0,2,0,0,2,0,1,0,0,2,0,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,2,2,1,0,1,0,1,2,2,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,2,0,0,0,1,0,0,0,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,1,1,1,1,0,1,1,1,0,2,0,0,0,0,0,0,1,1,1,1,1,2,1,0,0,0,1,1,0,0,1,2,2,2,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,1,0,1,1,0,2,0,0,1,0,0,0,1,0,0,0,0,1,1,0,2,1,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,1,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,2,0,0,1,0,2,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,2,1,1,0,0,1,0,1,1,0,1,1,0,0,2,0,1,0,1,0,0,0,1,2,1,1,0,0,0,1,0,0,2,0,1,0,1,1,2,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,0,1,2,0,1,1 0,0,1,1,1,0,2,0,1,1,1,0,0,1,1,0,0,0,2,0,0,1,1,1,1,0,0,2,0,0,2,0,0,0,1,0,1,0,0,1,0,1,0,2,1,0,0,0,0,2,1,0,1,0,0,0,1,2,2,1,0,0,0,1,1,1,0,1,0,1,0,1,1,1,2,1,2,1,0,1,0,0,1,0,0,0,2,0,2,0,1,0,0,0,1,0,2,1,0,0,1,1,2,2,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,2,0,0,1,0,0,0,1,1,0,1,0,2,0,0,0,0,0,1,1,0,0,2,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,2,2,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,1,0,0,2,0,0,1,1,1,1,0,1,2,0,0,0,1,1,0,0,0,0,0,0,2,0,0,2,0,1,1,2,0,0,2,0,0,1,0,0,2,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,2,1,1,0,0,0,0,0,0,2,1,0,1,0,1,0,0,0,0,0,0,1,1,2,1,2,0,1,0,0,1,0,1,2,0,0,2,0,0,2,1,0,1,1,2,0,0,1,0,1,2,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,1,0,2,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,2,0,0,1,1,0,0,0,0,1,2,1,0,1,0,1,1,1,1,2,1,0,1,2,1,2,1,0,1,1,1,1,1,0,1,1,1,1,0,0,1,1,1,1,0,1,0,0,0,2,0,2,1,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,1,0,2,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,2,0,0,1,1,0,2,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,2,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,2,2,0,0,1,0,0,1,2,1,0,1,1,1,0,0,0,0,1,2,0,0,0,1,0,2,0,0,1,1,1,1,1,0,0,0,1,0,0,0,0,2,0,0,0,0,0,2,1,0,0,2,0,0,1,0,0,0,0,1,0,0,0,2,0,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,2,1,0,1,0,1,0,0,0,1,2,1,0,0,1,0,1,1,1,1,0,0,2,1,0,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0,2,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,2,0,0,0,1,0,0,1,0,0,0,0,1,2,2,0,1,0,1,0,0,0,1,0,1,1,0,0,2,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,0,2,0,0,1,0,1,0,1,0,0,0,1,0,1,1,2,0,1,2,0,0,1,0,0,0,2,1,0,1,1,1,1,0,2,1,0,0,0,0,0,1,0,2,0,0,2,0,0,1,1,1,1,1,1,0,0,0,0,0,1,2,1,1,0,1,1,0,2,1,2,0,0,0,0,0,0,1,1,0,0,0,1,0,0,2,1,0,0,1,0,0,0,1,0,2,1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,2,1,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0,2,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,2,2,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,1 1,0,0,0,2,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,2,0,1,0,1,0,2,0,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,2,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,1,0,2,1,2,0,0,0,0,1,0,0,0,0,1,1,0,2,1,0,1,1,0,2,2,1,0,0,0,1,0,0,0,1,1,2,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,1,0,0,2,0,0,2,1,0,0,0,0,0,1,2,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,2,1,2,1,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,1,1,1,1,2,2,0,0,0,0,1,0,2,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0,2,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,1,2,0,1,0,1,0,1,0,0,0,0,0,1,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,1,1,0,1,0,2,0,0,0,0,2,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,2,0,2,0,0,1,0,0,1,0,0,1,1,1,2,0,0,0,0,0,0,0,0,2,0,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,2,1,1,0,0,1,0,0,0,1,0,2,0,1,0,0,1,1,0,0,1,2,0,2,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,2,0,0,1,0,0,1,1,1,0,0,1,1,1,0,2,1,1,1,0,1,0,0,0,2,1,0,0,0,1,0,1,0,0,0,0,0,1,1,1,2,0,0,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0,2,0,2,0,0,2,1,0,1,0,0,0,0,0,0,1,2,2,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,2,1,1,1,0,1,0,0,0,1,0,0,1,2,1,1,0,0,0,0,1,1,2,0,0,0,0,2,1,2,0,1,0,0,0,2,1,0,1,0,0,1,0,0,2,0,0,1,0,0,2,0,0,1,0,0,0,2,0,0,0,0,1,1,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,2,1,2,0,0,0,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,2,0,1,1,1,0,0,0,1,1,0,0,1,0,0,0,0,1,1,1,1,0,1,2,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,1,0,1,0,0,2,0,0,0,1,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,2,1,1,2,0,2,0,1,1,2,0,1,0,0,0,2,0,0,0,2,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0,1,2,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,2,2,1,0,0,1,1,0,2,2,0,1,0,0,2,0,0,1,0,0,0,0,1,1,1,0,1,0,1,1,0,0,1,1,2,1,0,0,0,1,1,1,0,2,2,1,0,0,1,0,0,1,0,2,1,0,0,0,0,1,0,2,0,0,2,2,1,0,1,2,1,0,0,1,1,1,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,0,0,2,0,1,0,1,0,0,1,0,0,2,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,2,2,0,0,2,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,2,1,2,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1 0,0,1,2,0,1,0,0,1,2,0,1,0,1,0,0,0,1,2,0,0,0,1,0,1,1,2,1,0,1,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,1,0,2,1,0,0,0,0,0,0,0,1,1,1,2,0,0,0,0,1,0,0,0,1,1,2,0,2,1,1,1,1,2,0,0,0,0,1,2,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,2,1,0,0,1,1,0,0,0,1,2,0,0,0,0,0,0,0,0,1,1,2,0,0,1,0,0,1,0,1,1,2,0,0,0,2,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,2,0,0,2,0,0,0,0,1,0,0,1,1,2,1,2,0,0,0,0,1,0,1,1,0,0,2,1,0,1,0,1,0,0,0,0,1,1,0,0,0,1,2,0,1,1,2,0,0,0,0,1,0,0,0,1,1,1,0,2,0,0,1,0,0,0,0,1,1,0,0,1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,2,2,2,0,1,1,1,0,1,0,2,1,0,1,0,0,0,2,1,0,1,0,2,0,0,1,0,1,0,0,1,0,2,0,0,1,0,0,1,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,2,1,1,2,1,2,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,1,1,1,2,0,1,0,0,1,2,2,0,2,0,1,0,2,0,1,0,0,0,2,0,1,0,0,0,1,0,2,0,1,1,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,2,0,0,0,2,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,2,0,1,1,1,1,0,1,1,1,0,1,1,0,0,2,0,0,2,0,1,0,2,1,1,0,1,1,0,0,0,0,1,0,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,2,0,0,1,0,0,1,0,1,0,1,0,0,0,2,1,1,0,0,0,1,0,1,1,0,0,2,0,0,0,1,0,1,0,1,0,0,0,0,0,1,2,0,1,1,0,0,0,0,1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,2,0,2,2,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,1,2,0,1,0,1,0,0,0,0,2,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,2,0,1,0,0,1,0,0,2,0,0,1,0,1,0,1,1,0,0,0,0,2,0,0,0,0,1,2,0,2,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,2,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,2,1,0,2,0,0,0,0,1,0,1,1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,2,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,2,1,0,0,0,2,1,0,0,1,1,1,0,0,1,0,0,0,1,0,2,0,1,1,1,2,1,0,1,1,0,1,0,1,1,0,0,0,1,1,2,1,0,1,0,1,2,1,2,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,2,1,1,1,0,0,0,0,2,0,0,0,0,2,0,0,0,0,1,2,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,1,0,1,1 0,0,0,1,0,0,1,1,1,1,1,2,1,1,2,0,0,1,0,0,1,0,1,1,1,1,2,0,0,1,1,0,1,1,0,0,1,2,1,0,1,0,0,1,1,1,1,1,1,1,0,0,2,0,0,0,1,1,0,2,0,0,1,0,0,1,0,2,1,0,2,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,2,1,2,0,1,1,0,0,1,1,1,0,0,0,0,2,0,0,0,0,0,0,1,0,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,2,1,0,1,2,0,1,0,0,0,0,0,0,2,0,1,0,2,0,1,0,0,0,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,2,0,2,2,0,2,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,2,1,0,0,1,1,1,1,0,0,1,0,0,0,0,1,1,1,1,2,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,2,0,1,1,1,0,0,0,2,1,2,0,0,0,1,1,0,0,2,0,0,0,0,0,0,1,0,2,0,1,1,1,0,0,0,0,0,1,1,0,1,2,1,2,1,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,2,0,0,0,0,0,1,1,0,2,1,1,0,0,1,0,0,0,0,0,2,2,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,1,0,0,1,0,1,0,1,2,1,1,2,1,0,1,0,0,1,0,1,0,1,1,0,1,1,1,1,2,0,2,0,0,1,0,0,1,0,1,2,0,2,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,2,1,0,0,0,0,0,0,1,1,0,0,0,0,1,2,0,1,0,1,1,2,0,0,1,2,1,0,1,1,0,0,1,2,0,0,2,0,0,0,0,2,1,0,1,0,2,0,0,1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0,1,1,2,1,0,1,2,1,1,0,0,0,0,1,1,0,1,1,0,0,2,1,0,0,0,1,0,2,0,2,0,0,0,0,1,0,1,0,0,1,0,1,1,0,1,1,0,0,2,1,1,2,1,0,0,0,1,1,0,0,2,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,1,2,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,2,1,0,0,2,0,2,2,2,2,1,0,0,0,0,1,0,1,2,0,1,0,0,2,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,1,1,0,0,1,1,1,1,2,1,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,2,1,0,1,1,1,0,1,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,1,1,0,0,1,0,0,2,1,0,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,1,2,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,1,0,2,0,0,1,0,1,1,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,0,2,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,1,2,0,1,0,0,0,2,0,1,1,0,0,0,0,0,1,1,2,0,0,0,1 1,0,1,1,0,0,0,2,0,1,1,0,0,2,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,2,1,0,1,2,2,0,1,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,2,0,0,0,0,1,0,0,1,2,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,2,1,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,1,0,2,0,0,0,1,0,0,0,2,2,1,1,2,1,0,0,0,1,0,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,1,1,1,2,0,1,1,0,0,0,1,1,0,1,1,1,0,2,0,1,0,0,2,1,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,1,1,0,1,0,0,0,0,0,0,0,2,1,1,1,0,0,0,0,1,1,0,2,1,0,1,1,1,0,0,0,1,0,0,0,0,1,1,0,1,2,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,2,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0,2,1,0,0,0,1,0,0,0,0,1,0,0,1,2,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,2,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,2,0,0,1,0,0,2,1,1,0,0,1,1,1,1,0,1,1,0,0,2,0,1,0,0,2,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,2,0,1,1,0,0,2,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,2,2,0,0,0,1,0,1,1,0,1,2,0,0,1,1,0,0,2,1,0,0,1,2,0,1,1,1,0,2,0,0,0,1,0,0,0,0,2,0,1,0,0,1,2,0,1,0,0,0,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,1,1,1,1,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,2,2,0,0,1,1,0,1,0,0,1,1,0,2,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0,2,2,0,0,2,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,1,2,0,0,1,1,1,2,1,1,0,2,0,1,1,2,1,1,0,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,2,0,2,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,1,0,2,0,1,0,0,0,1,1,2,1,2,2,1,0,1,2,0,0,0,0,0,1,0,1,1,0,1,2,0,0,0,2,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,1,2,0,1,1,1,0,0,1,1,1,0,0,0,2,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0,2,0,2,2,0,0,0,0,1,0,2,1,1,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,2,1,0,0,0,1,2,1,0,0,1,2,0,1,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,2,1,2,1,2,1,0,0,0,0,0,0,1,0,0,1,1,1,1,1,2,0,1,1,0,0,1,1,2,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,2,0,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,0,0,2,0,0,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1 0,0,0,2,2,0,1,0,0,2,2,1,0,0,2,1,0,0,1,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,1,0,2,2,1,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,2,1,0,1,0,0,1,0,2,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,2,1,0,0,1,1,2,0,0,0,0,0,1,0,1,2,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,2,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0,2,0,0,1,0,0,0,1,2,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,1,2,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,1,1,0,2,0,1,0,0,1,1,1,1,0,1,1,1,1,0,2,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,2,0,0,0,0,2,1,1,1,0,0,1,2,1,1,1,2,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,1,0,1,1,0,0,1,0,2,0,0,1,0,0,0,1,1,1,1,0,1,0,2,2,0,1,2,0,2,0,0,0,0,2,1,1,0,0,1,0,1,1,1,1,0,1,1,1,0,1,0,1,0,2,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,2,1,1,2,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,1,0,1,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,1,1,0,2,0,1,1,0,0,0,0,1,2,1,0,0,1,1,2,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,1,2,0,1,1,1,1,0,1,2,0,0,2,1,0,0,0,0,1,0,0,1,1,0,0,2,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,1,2,0,0,1,1,0,0,0,1,1,0,1,1,1,0,0,2,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,2,0,0,0,0,1,1,1,0,1,1,0,1,2,0,0,0,0,0,2,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0,1,1,2,1,1,0,1,1,0,1,0,2,1,0,2,1,0,0,2,0,1,0,0,0,1,0,0,1,1,2,1,0,0,1,0,1,0,0,0,0,0,2,1,0,0,2,0,1,0,1,1,1,0,0,2,1,1,0,0,1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,1,2,2,0,0,0,1,0,1,0,2,2,0,2,0,0,0,1,1,2,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,1,2,2,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1 0,0,1,1,2,0,1,0,0,2,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,1,1,1,1,0,1,2,0,1,2,0,0,1,2,0,0,1,2,0,0,1,0,0,0,0,1,0,2,0,0,0,1,2,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0,2,0,1,0,0,0,0,0,0,2,1,1,0,2,0,0,0,1,0,0,2,1,0,2,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,2,1,0,0,0,0,1,2,0,0,1,0,2,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,1,2,0,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,2,0,1,0,0,1,0,1,0,0,0,2,1,0,2,2,2,0,1,2,0,1,1,0,0,2,0,1,0,0,0,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0,2,1,1,0,1,0,0,1,1,2,0,1,0,0,0,1,2,0,0,1,0,2,0,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,2,1,2,1,1,0,0,2,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,2,2,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,2,0,0,2,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,2,0,1,0,1,1,1,1,1,1,1,1,0,1,0,0,2,1,0,1,0,0,1,1,1,2,1,1,0,1,1,0,2,1,0,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,2,1,0,0,0,0,1,1,2,0,0,0,1,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,2,1,0,2,0,1,0,2,0,0,0,2,0,0,1,1,1,0,1,2,0,0,0,0,0,0,0,2,0,1,0,1,1,1,0,1,0,1,0,1,2,1,1,0,0,0,0,1,0,2,2,0,2,0,0,0,1,2,0,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,1,0,2,1,2,0,0,1,0,0,0,0,0,0,0,1,1,1,2,0,2,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,2,1,0,2,0,0,0,0,1,1,0,1,1,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,2,0,1,1,2,1,0,0,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,2,0,2,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,2,0,0,2,0,1,0,1,1,1,0,0,0,0,0,1,0,1,0,2,1,1,0,0,1,0,0,0,0,0,1,0,0,2,0,1,0,1,2,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,1,0,0,0,1,1,0,1,1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,1,2,0,1,2,0,1,0,0,0,1,0,1,2,0,0,0,0,1,0,2,1,0,1,1,0,1,1,1,0,1,2,0,0,0,2,1,1,1,0,0,0,1,0,1,1,1,0,1,1,2,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,2,2,1,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,2,0,0,0,2,0,0,0,0,1,1,0,1,1,0,1,1,1,0,0,1,0,2,1,1,0,0,0,0,0,0,1,1,0,2,0,1,0,0,2,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1 1,0,1,1,0,0,1,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,1,2,1,0,1,0,0,0,0,0,1,1,1,0,1,1,0,0,2,1,1,2,1,0,0,1,0,2,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,2,0,1,0,0,1,0,0,0,0,1,2,0,1,2,0,1,0,0,1,0,0,1,2,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,2,0,2,2,1,1,0,0,0,0,1,1,0,1,1,0,2,1,0,0,0,2,2,1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,1,1,0,1,0,1,1,0,2,0,2,1,0,0,0,0,2,1,1,0,0,0,0,1,1,1,1,0,2,0,1,1,2,0,0,0,1,2,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,2,2,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,2,0,1,0,1,0,0,1,1,1,0,2,0,1,1,0,0,0,1,0,0,2,0,0,0,1,1,1,0,1,1,1,0,0,0,1,2,0,0,2,0,0,1,1,1,1,1,0,0,0,0,1,2,0,1,0,2,0,0,2,0,0,0,0,0,1,0,0,0,1,1,2,1,1,1,0,0,0,1,0,0,1,0,1,0,2,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,2,1,0,0,0,0,0,0,2,0,1,1,1,0,0,0,2,0,0,0,1,1,0,0,2,1,1,0,2,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,2,0,1,1,1,1,2,2,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,2,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,2,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,1,2,0,0,1,1,0,0,2,1,2,0,0,1,0,0,0,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,1,1,0,2,0,0,1,1,0,0,0,0,0,1,0,0,1,0,2,0,1,1,0,0,1,2,1,1,2,0,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,2,0,0,0,0,2,0,0,0,0,0,1,2,1,0,1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0,1,2,0,0,0,1,1,0,0,0,0,2,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,1,1,0,2,1,0,0,1,0,1,0,1,0,0,0,0,2,0,2,0,1,0,0,1,0,0,1,0,0,0,0,1,0,1,1,0,2,0,1,0,0,1,0,1,0,0,0,1,0,0,0,2,1,2,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,2,0,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,1,2,0,0,0,0,0,1,1,0,1,2,0,0,0,1,1,1,1,1,1,1,0,2,1,1,1,0,2,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1,1,1,1,0,1,1,1,0,1,1,0,0,0,2,0,0,2,0,2,0,1,0,1,0,2,0,0,0,0,0,0,2,0,2,1,1,0,0,0,2,1,0,0,0,1,0,0,1,1,1,1,0,2,0,2,0,1,1,2,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,1,0,2,0,0,0,1,0,0,0,0,1,0,0,0,0,2,1,0,1,1,0,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,2,0,0,0,0,2,1,0,2,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1 1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0,0,2,1,1,1,2,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,2,1,0,1,1,1,0,1,0,2,0,1,1,1,2,0,0,0,0,0,1,0,2,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0,2,2,0,0,0,0,0,0,0,0,1,0,1,1,0,2,0,0,0,0,1,0,0,0,0,2,1,1,0,2,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,2,0,0,1,0,0,1,1,1,0,2,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,2,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,2,1,0,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,2,1,0,2,1,0,1,1,2,0,0,0,0,0,2,0,0,0,0,0,2,1,0,0,2,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,2,1,2,1,1,0,1,0,1,2,1,1,1,0,1,0,2,0,0,1,0,0,1,1,1,0,0,1,1,2,0,1,0,0,1,0,0,1,0,0,1,0,2,0,0,2,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,2,1,1,0,1,1,0,1,0,1,1,2,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,2,0,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,2,1,1,1,1,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,1,1,0,1,0,0,0,0,2,1,0,0,1,1,1,2,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,1,2,0,1,1,0,0,0,1,1,0,1,1,0,2,1,0,1,0,2,1,1,0,1,0,0,1,0,0,2,0,0,0,1,0,0,1,1,0,0,1,1,0,0,2,2,1,2,0,2,2,1,0,1,0,1,0,2,1,1,0,1,2,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,2,0,0,0,2,1,1,0,1,0,0,0,0,0,1,2,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,2,0,1,0,1,2,1,0,0,1,0,1,2,0,2,1,1,0,1,1,1,1,2,0,1,0,1,0,0,0,1,0,2,0,0,0,2,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,2,1,1,0,0,0,0,0,1,1,2,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,1,2,0,1,2,2,0,0,0,1,0,1,0,0,1,1,0,2,0,0,0,0,1,1,2,0,1,0,0,2,1,1,1,1,0,0,0,1,2,0,1,0,2,2,1,0,0,2,0,1,1,2,1,2,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,2,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,1,1,0,0,1,2,0,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,1,1,0,0,2,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,2,0,0,0,1,0,1,1,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,2,0,1,0,0,1,0,1,1,0,0,1 2,1,0,0,1,0,0,0,0,0,2,1,0,1,2,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,2,0,1,0,0,1,0,0,2,2,0,0,0,0,1,0,0,0,0,0,1,1,1,2,0,0,0,2,0,1,0,2,1,0,2,0,2,0,1,0,1,1,0,0,0,0,1,2,0,0,1,0,0,1,2,1,2,0,1,1,1,0,0,0,1,1,0,2,1,1,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,2,0,1,1,0,1,0,1,0,1,0,1,0,0,0,2,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,2,1,0,1,0,1,2,1,1,0,1,1,0,1,0,0,0,1,1,0,1,2,0,1,0,1,1,0,1,0,1,2,1,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,1,2,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,2,0,1,0,1,1,1,0,2,1,1,2,0,0,1,1,1,1,0,0,0,0,1,1,0,0,2,2,0,1,0,1,1,0,0,1,1,1,1,2,0,1,0,1,1,2,1,1,0,0,0,1,0,0,1,0,0,0,2,0,1,0,0,0,0,1,0,1,1,0,2,0,0,2,1,0,1,0,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,2,0,1,2,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,2,0,1,0,1,2,1,1,1,2,0,2,0,2,1,2,1,0,0,2,0,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0,1,1,2,0,2,0,0,1,0,1,1,0,1,0,0,0,1,0,2,0,0,2,1,0,1,0,0,1,2,2,0,0,0,2,0,1,1,0,0,0,0,0,0,2,1,2,1,0,0,2,0,2,1,1,0,0,0,2,0,0,1,0,0,0,0,0,0,2,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,2,0,0,0,2,0,0,2,0,1,0,2,2,0,0,0,1,0,0,0,2,0,0,1,2,0,0,0,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,2,0,1,1,0,0,0,2,2,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,1,0,2,1,1,1,0,1,1,1,0,1,1,1,1,0,0,2,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,2,1,0,0,0,0,0,2,0,1,1,0,0,0,0,0,1,2,1,0,0,0,2,1,0,1,0,0,0,0,2,1,1,1,0,0,0,0,2,0,0,0,0,1,0,0,0,2,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,2,0,1,0,2,0,1,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,2,0,0,1,0,0,0,0,0,1,0,1,1,1,1,1,1,1,0,2,1,1,0,1,2,1,0,2,1,0,1,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,1,2,1,0,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,1,0,2,0,1,1,1,1,1,1,1,0,1,1,0,0,0,2,0,2,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,2,0,1,0,0,0,2,1,0,0,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,2,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,2,0,1,0,0,1,0,0,1,1,2,1,1,0,0,0,0,0,1,0,0,0,1,0,1 0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,1,1,1,1,0,0,0,0,2,1,1,0,0,2,1,0,1,1,0,1,0,0,0,2,1,1,1,0,1,0,0,1,1,1,1,1,1,0,0,1,1,1,0,2,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,1,2,0,0,0,1,1,0,2,1,0,1,0,0,0,1,0,0,1,0,1,0,1,2,0,2,0,0,0,0,0,0,0,0,1,2,0,1,1,0,1,2,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,2,0,1,0,0,1,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,1,0,0,1,1,2,0,0,0,2,0,0,1,1,1,0,0,0,0,2,0,1,1,1,0,1,1,0,0,0,2,0,0,0,2,0,1,0,0,0,2,0,0,2,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,1,1,1,1,0,0,1,0,2,1,0,0,1,1,1,2,0,0,0,0,0,1,1,0,0,2,0,1,1,0,0,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,2,0,1,0,1,1,0,1,1,0,1,0,1,1,0,1,2,1,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,2,2,0,0,0,0,0,1,0,0,1,0,0,2,0,1,0,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0,2,0,1,1,0,1,1,0,1,0,1,2,1,0,0,1,0,1,2,0,1,1,1,1,0,0,1,0,1,2,0,0,0,2,1,0,0,1,0,1,2,1,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,1,1,0,1,0,0,2,1,0,1,0,0,0,1,0,0,1,1,1,0,1,1,0,0,1,2,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,2,1,2,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,1,0,2,2,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,1,0,0,0,0,0,1,0,0,1,2,0,2,0,0,0,0,0,2,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,1,1,0,1,1,0,0,2,1,0,0,0,0,0,0,0,0,1,1,0,2,0,1,1,0,0,2,0,0,0,2,1,0,0,0,0,0,0,1,0,1,0,2,2,0,2,0,1,2,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,1,0,1,2,1,0,0,0,1,0,0,1,0,1,1,2,0,0,0,0,0,1,2,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,2,1,0,0,0,2,0,0,0,1,1,0,0,1,0,0,1,1,0,1,0,1,1,2,0,1,1,0,0,1,0,1,0,0,1,2,0,0,0,0,0,0,0,2,1,1,0,1,0,0,1,1,0,2,0,0,0,0,1,1,1,0,0,2,1,0,1,1,1,0,0,1,2,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0,2,0,2,1,1,0,1,0,0,0,2,1,0,0,0,1,0,0,1,0,1,1,2,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,1,1,0,0,0,0,2,0,0,0,0,2,0,1,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,2,0,1,0,0,0,1 0,0,1,2,1,0,0,2,0,1,1,1,2,1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,1,1,2,0,1,0,0,0,2,0,0,1,2,2,1,1,0,0,0,0,0,0,1,0,0,0,0,0,2,1,1,1,0,0,0,0,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,2,0,0,2,1,1,0,1,1,0,0,0,1,0,0,2,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,2,1,1,1,1,0,0,0,1,2,1,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,2,0,0,1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,2,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,1,1,1,1,1,1,1,0,0,0,1,2,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,2,1,0,0,1,2,1,0,0,2,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,1,0,2,0,2,0,1,2,1,1,0,0,2,1,1,1,0,0,0,2,0,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,2,1,0,1,0,0,0,1,0,2,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0,2,0,0,0,0,0,0,1,2,1,0,0,1,1,1,0,2,0,1,0,2,0,1,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,1,0,0,1,0,0,0,1,0,0,0,2,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,1,2,0,2,0,0,0,0,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,2,0,0,1,2,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,2,0,1,0,2,2,0,0,0,0,1,0,1,0,0,1,1,2,1,2,0,2,0,1,1,2,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,1,2,0,0,1,0,0,0,0,2,0,1,0,1,0,0,2,1,1,1,0,0,0,1,0,1,0,1,1,0,0,2,1,0,0,0,0,0,1,0,2,0,0,1,0,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,2,0,2,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,2,0,0,0,1,0,0,0,1,2,0,0,1,1,0,0,0,0,1,0,0,2,0,1,0,1,1,0,0,2,0,1,0,0,0,1,0,2,2,2,1,2,0,1,1,0,1,1,1,0,0,1,1,2,0,1,0,0,0,1,0,0,2,0,1,0,0,0,2,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,2,2,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,2,0,0,0,0,0,0,0,1,1,0,2,1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0,2,1,0,1,0,0,1,0,1,1,2,0,0,0,1,0,1,0,1,1,0,0,2,1,0,2,0,0,0,1,0,2,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,1,1,2,0,1,0,0,0,0,1,0,0,1,2,0,1,1,2,0,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,2,2,0,0,1,0,0,0,0,1,0,1,0,1,0,0,2,0,0,0,0,1,1,0,1,1,0,0,0,0,1,2,2,0,0,0,0,1,1,0,0,2,0,0,1,0,0,1,1,0,0,0,0,1,0,0,2,0,0,0,1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,2,2,1,0,0,1,0,0,0,1,1,1,1,2,1 2,0,0,1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,1,1,0,2,1,1,1,1,2,0,0,1,1,0,0,1,0,1,0,0,0,2,0,1,0,1,0,0,0,1,1,0,0,1,1,2,0,1,0,1,1,1,0,1,2,0,0,1,0,0,1,2,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,2,1,1,1,1,0,1,2,1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0,0,2,1,1,0,0,1,1,2,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,2,0,1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,2,0,2,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,2,0,0,0,2,0,1,1,0,1,0,0,0,2,1,1,0,1,2,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,2,1,1,0,2,1,0,0,2,0,0,1,0,1,0,1,0,1,0,2,0,2,0,0,1,0,0,0,0,0,2,0,0,0,1,1,0,0,1,2,0,0,0,0,1,0,0,1,0,1,1,0,0,0,2,0,1,0,0,1,1,0,1,1,1,1,0,0,0,1,1,0,1,1,1,0,2,0,2,1,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,1,0,1,2,1,2,0,0,1,0,0,0,2,0,0,1,1,0,1,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,1,1,0,0,0,1,1,0,0,2,0,2,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,0,1,1,1,1,2,0,1,0,0,0,2,0,1,0,1,1,2,0,0,1,1,0,0,0,0,1,2,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,2,1,0,1,1,0,0,0,0,0,0,0,0,1,2,0,1,0,0,1,0,1,2,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,2,0,2,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,1,1,0,1,1,0,0,1,0,1,0,1,1,2,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,1,1,0,2,2,0,0,1,0,0,1,1,0,0,0,1,0,1,0,1,0,1,1,2,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,2,1,0,1,0,1,0,1,1,0,0,0,1,2,1,2,0,0,0,0,0,1,0,2,1,0,0,0,1,1,2,1,1,0,1,1,2,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,1,1,2,0,0,1,2,1,1,0,0,2,1,1,1,0,0,1,1,0,0,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,2,1,0,0,2,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,1,0,1,1,1,1,0,1,0,0,2,2,0,2,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,2,1,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,1,2,0,1,1,0,0,1,1,0,0,0,0,0,0,1,1,0,2,1,1,0,0,1,2,0,0,1,1,0,1,1,2,1,0,1,0,0,0,1,0,0,2,0,2,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,2,0,1,0,1,0,0,0,2,1,0,1,0,0,1,0,0,0,2,0,0,0,0,2,2,0,0,1,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,1,0,2,1,0,1,1,2,1,0,1,1,0,0,0,0,2,2,1,0,0,0,0,0,2,0,1,1,0,0,1,1,0,2,1,1,0,1 1,0,1,0,0,0,0,0,1,0,2,0,0,1,0,0,0,2,0,0,0,0,2,0,1,1,1,2,1,0,1,0,0,0,1,0,1,0,1,0,0,1,1,0,1,1,1,1,0,1,2,0,1,0,0,0,0,0,1,2,0,1,0,0,0,2,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,1,2,2,1,1,0,0,1,0,0,1,2,0,1,1,0,0,0,0,2,2,0,0,1,1,2,0,0,0,0,0,0,0,0,2,1,1,1,0,1,0,0,0,2,1,0,1,0,1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,1,1,1,2,0,2,1,0,0,1,0,1,1,0,0,2,1,0,0,1,0,1,2,0,2,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,2,2,0,0,0,0,1,1,1,0,1,0,2,1,0,0,0,1,1,0,0,0,0,0,2,0,2,1,0,1,1,1,0,1,2,1,0,0,0,1,1,0,2,0,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,1,2,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,1,0,1,1,2,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,1,2,0,0,2,1,2,0,0,0,1,0,1,0,0,2,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,2,1,1,1,1,0,0,0,0,0,0,1,1,0,2,1,2,0,1,0,0,1,1,2,0,0,0,1,2,2,1,0,0,1,2,0,1,2,1,0,0,0,0,0,1,0,0,2,1,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,2,1,1,2,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,0,2,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,1,2,0,0,2,1,0,1,0,0,0,1,0,1,1,2,1,2,1,0,1,0,1,0,0,1,0,0,2,0,0,1,0,0,1,1,0,0,0,1,0,1,1,1,2,0,0,0,0,2,1,1,0,2,1,1,0,1,1,0,1,1,0,0,0,1,0,2,1,0,1,1,0,0,0,0,2,1,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0,2,0,0,1,1,1,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,2,0,0,0,0,1,0,0,0,1,0,1,0,1,0,2,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2,1,0,1,0,1,0,0,1,0,1,1,1,1,0,1,0,1,2,1,2,1,2,2,1,2,1,1,1,2,1,1,1,0,0,0,0,0,1,1,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,2,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,2,0,1,0,1,0,1,1,2,1,0,1,0,0,1,0,0,1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,2,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,2,1 0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,2,1,2,1,0,1,0,1,0,2,0,1,0,0,0,0,1,0,1,0,0,0,2,1,1,0,0,0,0,2,0,1,0,0,2,0,1,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,1,1,2,1,1,1,1,0,0,0,1,0,1,1,1,0,2,1,0,0,0,0,0,0,0,1,0,1,1,2,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,2,2,1,0,1,1,1,2,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,2,1,0,2,0,0,0,1,0,1,0,2,1,1,0,0,1,0,0,2,1,0,0,0,0,0,1,2,0,0,1,0,1,1,1,0,0,1,1,0,0,0,1,2,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,2,0,1,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,2,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,0,2,0,1,2,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,1,1,1,2,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,1,1,1,0,1,1,0,0,2,0,1,0,0,0,1,2,0,0,2,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,2,0,1,0,1,1,0,2,0,0,1,1,1,1,0,1,2,0,0,0,0,2,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0,2,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,1,1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,2,1,0,1,0,2,0,0,1,1,2,2,0,0,0,0,0,1,2,1,0,0,2,0,1,1,2,1,0,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,2,0,1,0,1,1,0,0,1,0,0,2,1,1,0,2,0,0,2,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,2,0,0,1,2,1,0,2,1,0,0,2,0,0,1,1,0,0,0,0,0,0,2,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,1,1,1,0,1,1,0,0,1,0,2,2,1,0,0,0,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,1,2,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,2,1,0,1,2,0,0,0,0,1,0,1,0,2,0,0,1,2,1,0,1,0,1,2,1,0,0,0,1,0,1,0,1,2,0,0,1,0,0,1,0,0,1,0,1,1,1,1,0,0,1,1,1,1,0,2,1,0,0,0,0,0,0,1,1,1,1,1,0,0,2,0,0,1,0,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,2,0,2,1,2,1,2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,2,0,0,2,1,1,0,0,0,0,0,0,0,1,0,2,1,0,1,2,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,2,1,0,0,0,1,2,0,1,0,1,0,0,1,2,0,2,0,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,2,1,1,1,0,0,0,0,0,1,0,1,2,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1 0,1,0,1,0,0,0,0,0,2,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,0,0,0,1,0,0,0,1,1,1,0,2,1,0,0,0,1,0,0,0,0,0,1,1,2,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0,2,0,1,0,0,1,1,0,1,0,0,1,2,0,0,2,0,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,2,1,2,0,1,1,1,0,0,1,0,2,0,2,0,1,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,2,1,2,2,0,1,1,1,2,0,1,1,0,0,0,1,0,1,0,0,1,2,0,1,1,0,1,0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,2,1,2,1,1,1,0,0,0,2,1,1,0,0,0,0,1,0,1,2,0,0,1,1,0,0,0,0,1,0,0,0,1,1,2,1,0,1,0,0,1,1,1,0,1,0,0,0,2,1,0,0,0,0,2,1,1,1,0,0,0,1,0,1,0,0,1,0,2,0,1,1,0,0,0,0,1,0,0,1,0,1,1,1,1,1,2,1,0,0,0,0,1,1,1,1,0,1,0,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,1,2,0,0,1,0,0,0,1,2,0,0,2,1,1,1,2,1,1,0,0,1,0,2,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0,0,0,2,1,1,1,1,1,1,0,0,1,2,0,0,0,1,2,1,0,0,2,1,1,0,1,0,0,1,0,0,1,2,1,0,0,2,0,1,1,1,1,0,0,0,1,0,0,1,2,0,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,1,1,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,1,0,0,0,1,0,1,0,0,0,2,1,0,1,0,0,0,2,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,1,0,0,1,1,2,1,1,0,2,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,1,2,1,0,2,0,0,1,0,1,2,1,0,0,1,0,1,1,1,0,2,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,2,1,0,0,0,1,0,0,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,2,0,1,1,0,0,2,0,2,0,2,0,0,1,0,1,0,1,0,1,0,2,0,0,2,0,0,2,0,0,0,2,1,0,0,0,0,2,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,2,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,1,0,0,2,0,1,1,0,1,2,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,2,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,2,0,2,1,2,1,1,0,0,2,1,0,0,0,0,1,2,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,2,0,0,0,0,0,0,1,0,0,1,1,0,0,2,0,0,0,1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,2,2,1,2,0,0,0,1,1,1,1,0,2,1,0,0,0,0,0,1,0,1,1,2,1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,2,0,1,1,1,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0,1 0,0,1,1,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,2,0,0,0,1,1,0,0,1,0,1,1,0,2,1,2,0,0,0,0,1,1,0,1,0,2,0,1,1,0,0,1,1,0,0,1,0,1,2,0,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0,2,0,1,0,0,1,0,1,2,1,0,0,0,0,0,2,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,1,1,1,2,2,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,1,0,1,2,0,0,0,1,1,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,2,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,1,0,2,0,1,0,0,1,1,2,1,2,1,0,2,1,0,0,1,0,1,1,0,1,0,0,1,2,0,0,2,1,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,2,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,2,0,2,0,0,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,2,0,1,0,0,0,1,0,2,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,2,0,0,1,1,0,1,1,0,2,0,0,0,1,1,0,1,2,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,0,1,0,0,2,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,2,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,2,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,1,2,0,0,0,0,0,0,1,1,0,0,1,2,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,2,0,0,0,0,1,1,1,1,0,0,0,1,0,0,2,1,2,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,2,1,0,1,1,0,1,0,1,2,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,2,1,2,0,0,1,0,2,0,0,0,1,1,1,0,1,0,1,0,1,0,0,2,0,0,0,0,1,0,1,0,1,0,1,1,1,2,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,2,0,1,0,0,1,0,0,1,1,1,0,1,1,1,0,0,0,1,1,0,1,0,2,0,0,1,1,2,2,1,2,0,0,0,0,1,0,0,0,0,1,1,0,0,0,2,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0,1,2,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,1,0,1,1,1,1,1,0,0,1,1,0,0,2,0,1,0,2,0,0,0,1,0,0,0,1,2,0,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0,2,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,1,2,1,2,0,0,2,1,2,0,1,0,1,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1 2,0,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,2,1,2,1,0,2,0,1,1,1,0,1,0,0,0,2,0,2,1,1,0,2,1,1,0,0,2,1,0,0,0,0,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,2,1,0,1,2,0,1,0,0,0,0,1,2,2,0,0,0,0,2,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,1,0,1,0,2,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,2,1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,1,0,1,1,1,1,1,0,1,0,2,1,0,1,0,0,0,2,2,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,2,1,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,2,0,2,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,2,0,0,0,1,1,1,0,0,2,1,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,2,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,2,0,0,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,2,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,2,0,0,1,0,2,2,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,0,1,1,0,0,0,2,1,0,2,2,0,1,1,0,0,2,1,0,1,0,0,0,0,1,2,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,2,0,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,2,0,1,1,0,0,1,2,1,0,0,1,1,1,0,1,2,1,2,1,0,2,0,0,0,0,1,2,1,0,2,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,2,2,1,1,0,0,1,0,1,2,0,1,1,0,0,0,0,1,0,2,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,2,0,1,0,0,1,2,0,1,0,0,0,1,1,0,0,2,0,0,1,1,0,0,0,1,0,0,1,0,2,1,0,0,2,1,1,0,1,0,0,0,0,0,1,0,1,2,2,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,1,1,0,0,2,0,1,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,2,1,1,1,0,0,1,0,1,0,2,0,0,0,0,2,1,0,1,1,1,1,0,0,1,0,0,1,2,2,1,0,1,0,2,1,0,1,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,0,1,0,1,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,1,1,0,1,1,0,0,1,2,0,0,0,2,0,2,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,1,1,0,1,2,0,0,0,0,0,0,0,1,1,0,0,1 2,0,1,1,2,0,0,0,0,2,1,0,0,2,1,0,0,1,1,0,0,0,0,0,0,1,2,0,0,0,2,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,2,0,0,0,0,1,0,0,0,2,2,0,1,1,2,1,1,1,1,2,0,0,0,0,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,2,0,1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,2,1,0,2,0,0,0,0,0,0,1,0,1,0,0,2,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,2,0,2,0,1,1,0,0,1,0,0,0,0,1,0,0,2,1,0,0,1,2,0,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,1,2,0,1,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,2,1,0,1,1,0,0,2,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,1,1,1,1,1,0,0,0,2,0,0,0,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1,2,2,0,1,0,0,1,1,0,0,0,2,0,0,2,0,1,0,2,0,1,1,1,1,0,0,1,0,1,0,0,0,2,2,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,0,2,1,0,0,2,0,1,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,2,0,0,2,0,0,0,0,0,2,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,1,2,0,1,1,2,1,0,0,0,1,0,0,0,1,1,0,0,2,0,1,0,0,0,0,0,2,0,1,1,0,2,0,0,0,0,1,0,1,0,1,0,0,1,1,1,2,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,2,1,0,1,1,2,0,0,0,1,0,1,0,0,1,2,1,1,0,1,1,2,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,2,1,0,1,0,2,0,0,0,0,0,1,0,0,1,0,0,1,2,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,2,0,1,0,1,0,0,1,0,0,2,0,0,0,2,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,2,1,0,0,0,1,0,2,2,1,1,0,0,0,1,1,0,1,1,0,1,1,0,2,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,2,0,0,0,0,1,0,1,0,1,1,0,1,1,2,0,1,0,2,0,0,0,1,0,2,1,0,0,1,0,0,0,0,0,0,1,2,0,2,1,2,1,2,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,2,0,2,0,1,0,1,1,0,0,0,1,0,1,2,1,1,1,2,1,1,1,0,0,1,2,0,0,0,0,1,0,1,2,0,0,1,0,2,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,2,2,0,0,0,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,1,1,1,1,0,0,0,2,1,0,2,2,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,2,0,0,1,0,0,0,1,2,0,1,1,0,0,0,1,1,1,1,0,0,1,0,1,1,0,2,1,0,0,0,0,0,1,1,0,0,1 0,0,2,2,0,0,0,0,0,1,1,0,0,1,1,2,1,1,1,0,0,0,1,0,0,1,0,1,0,1,2,0,0,1,2,0,0,1,0,0,0,1,0,1,2,0,1,0,0,2,0,0,0,1,1,1,1,1,1,0,0,0,2,0,0,2,0,1,2,2,2,0,1,1,1,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,1,1,2,0,0,1,0,0,0,1,1,2,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,2,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,2,0,0,0,1,0,0,0,1,1,1,2,0,0,2,0,1,0,1,1,0,0,0,2,0,1,1,0,0,1,1,0,1,2,0,1,0,0,0,0,2,0,0,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0,2,0,1,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,2,0,0,0,0,0,1,1,0,1,2,1,0,0,1,1,0,0,2,1,1,0,0,0,1,2,1,1,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,1,1,2,0,0,0,0,1,0,0,0,2,1,0,2,0,1,0,0,1,2,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,2,2,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,1,0,1,2,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,0,1,1,1,0,1,1,0,2,0,0,2,1,0,0,0,0,1,1,1,1,1,1,0,0,2,2,0,0,0,1,0,0,2,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,1,2,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,1,2,2,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,2,0,0,0,0,0,2,0,0,0,2,2,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,2,2,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,1,2,2,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,0,2,0,1,1,0,0,0,0,0,0,1,0,1,1,2,1,0,0,0,1,1,0,1,0,1,2,0,0,1,1,1,1,0,0,1,0,1,2,0,0,0,0,0,1,0,1,0,0,0,1,0,0,2,1,1,0,0,0,1,1,0,1,2,1,0,0,1,1,0,1,0,0,0,0,0,0,2,0,1,0,1,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,2,0,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,0,2,1,2,1,0,2,0,0,0,2,1,0,1,0,0,2,0,0,1,1,0,1,1,0,1,0,0,1,0,1,1,1,1,0,2,0,1,1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0,2,0,0,1,0,0,0,0,2,0,0,0,1,2,0,1,0,0,1,0,2,0,0,0,1,0,0,0,1,0,1,0,2,0,0,1,0,1,1,1,1,0,0,2,0,1,2,0,0,0,1,1,0,0,1,0,2,0,0,1,0,1,1,0,2,0,1,2,1,1,2,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,0,0,2,0,0,0,0,0,0,1,1,2,0,0,0,0,0,1,0,1,1,0,1,1,0,1,2,0,0,0,1,0,2,0,0,0,0,0,1,0,0,1,0,0,1,1,1,0,0,2,0,1,0,0,2,0,2,0,0,0,1,1,0,0,1,0,2,1,1,0,1 0,0,1,2,1,1,1,1,0,2,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,2,0,0,2,1,2,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,1,1,0,0,1,2,0,1,0,1,1,0,0,0,2,0,0,1,0,0,1,0,0,0,0,1,0,0,2,0,1,0,0,2,0,1,0,1,1,1,1,1,1,0,2,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0,2,0,0,0,2,0,0,1,0,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,1,2,0,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,2,1,0,0,0,1,1,1,1,1,0,2,0,0,0,0,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0,1,1,0,2,2,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,1,1,0,0,2,1,0,0,1,0,1,1,2,0,1,0,0,0,0,2,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,2,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,2,0,1,0,0,1,0,1,0,1,1,0,0,1,1,1,2,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,0,1,2,0,1,1,0,0,0,0,2,0,0,1,0,0,0,2,1,0,0,2,0,1,1,2,0,0,1,0,2,0,0,1,1,2,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,1,2,1,0,0,0,1,0,1,0,1,0,0,1,0,0,0,1,0,2,0,1,1,1,0,0,0,0,1,1,1,1,1,0,1,0,0,2,1,0,0,0,2,1,0,1,0,0,0,0,0,0,0,1,0,2,0,1,1,0,1,0,0,0,0,1,2,1,0,0,0,0,1,1,1,0,0,0,0,0,1,2,0,0,0,1,0,0,1,0,1,1,2,0,0,1,0,0,0,0,1,2,0,0,0,0,1,1,1,1,2,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,2,0,0,1,0,1,1,2,2,1,1,0,1,0,0,0,2,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0,2,2,0,1,0,0,2,0,2,0,1,0,1,0,1,1,0,2,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0,1,2,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,1,0,1,2,1,1,0,1,0,1,0,1,1,1,1,1,2,1,1,0,0,1,1,1,1,1,0,1,0,2,0,1,0,0,0,0,1,2,1,0,1,0,0,0,0,0,0,0,0,2,1,2,1,1,0,1,0,0,1,0,0,0,0,1,2,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0,2,0,1,2,0,0,1,0,0,0,1,1,1,2,2,0,1,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1 0,1,0,0,0,0,0,0,1,2,2,0,0,1,2,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,1,1,1,1,2,0,0,0,1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,2,0,1,1,0,1,2,0,0,1,1,0,0,0,0,1,0,1,0,1,1,2,0,0,1,1,0,0,2,0,0,1,0,1,1,0,0,0,0,2,2,1,0,0,0,0,0,2,0,2,0,0,1,0,0,0,0,1,0,0,1,2,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,1,1,0,2,0,0,0,1,1,1,0,1,2,1,0,0,0,0,1,1,0,2,0,0,0,0,0,0,0,1,0,0,2,0,1,0,1,0,0,2,0,0,1,1,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,1,2,1,0,0,1,0,0,0,0,0,1,2,0,2,1,0,1,0,0,1,0,2,2,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,2,0,0,2,0,0,2,1,0,1,0,0,1,1,2,1,1,0,0,1,0,1,2,0,0,0,0,1,1,0,0,0,1,2,1,1,0,0,1,0,1,1,0,1,2,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,2,1,0,0,0,1,0,2,1,0,2,2,2,0,1,0,0,1,1,0,0,0,0,0,2,1,0,1,0,1,1,2,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,2,2,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,1,0,0,0,0,2,0,0,2,0,2,0,1,0,0,0,1,1,2,1,0,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,2,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,1,2,1,2,1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,1,2,1,1,2,1,1,0,1,0,1,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,1,1,0,2,0,0,1,0,1,0,1,1,0,1,1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,1,2,0,2,0,0,0,1,0,0,0,2,1,0,1,0,1,2,0,0,1,0,1,1,1,2,0,0,1,0,1,0,0,0,2,1,0,1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,2,1,0,1,1,0,2,1,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,0,1,1,2,0,1,0,0,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,1,0,2,0,2,0,2,1,1,1,0,2,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,2,1,0,0,0,2,1,2,2,0,2,1,1,1,1,0,0,0,0,1,2,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,2,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,2,0,2,0,0,0,1,2,0,0,0,2,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,2,2,1,0,0,0,1,2,1,1,1,0,0,2,2,1,2,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,2,0,1,0,0,2,0,2,1,0,2,1,1,1,1,0,1,1,0,0,0,0,0,2,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,2,2,0,0,0,0,0,1,1,0,1,0,0,0,1,1,2,1,0,0,1 1,1,2,0,1,0,1,1,2,0,1,2,0,1,2,1,0,0,1,0,0,0,0,1,1,2,1,2,0,0,2,0,0,2,0,0,1,0,0,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,2,0,1,0,0,1,0,0,0,1,0,0,0,0,0,2,1,0,0,0,1,0,0,1,1,0,0,0,1,0,2,0,1,1,0,1,1,2,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,1,2,0,1,0,1,1,2,1,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,2,1,2,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,2,0,0,1,0,0,0,0,1,2,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,0,1,0,1,0,2,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,2,1,1,0,1,1,1,1,0,2,0,2,1,1,0,0,0,0,1,0,1,0,0,1,2,0,0,2,1,0,0,1,0,0,0,1,0,2,0,2,0,0,1,0,1,0,0,1,0,1,1,0,0,0,2,0,0,1,0,0,0,0,0,0,2,0,1,0,2,1,1,0,0,0,2,1,2,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,2,0,0,0,0,0,0,0,1,0,2,0,0,2,1,2,0,2,0,0,0,1,1,0,1,1,1,0,0,1,1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,1,2,0,1,0,0,1,1,2,0,0,1,1,0,0,0,2,1,1,0,1,0,0,1,0,1,0,0,0,1,0,2,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,2,2,0,1,0,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,2,0,0,1,1,0,0,0,0,1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,2,1,0,2,0,1,1,2,0,1,0,1,1,0,0,2,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,1,1,0,1,0,1,0,0,2,0,0,0,1,0,0,1,1,2,0,0,1,2,1,0,2,2,0,0,2,0,0,0,1,0,2,0,0,1,1,0,0,0,2,0,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,1,0,0,1,0,1,1,1,1,1,0,1,0,1,0,0,0,1,0,2,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,1,0,0,1,2,0,0,2,0,1,0,1,0,1,0,0,0,0,0,0,1,2,1,1,2,1,1,0,0,0,1,1,1,1,2,2,2,1,0,0,0,1,0,1,1,0,0,1,0,2,0,0,0,1,0,1,2,0,2,1,0,1,0,1,0,2,1,0,0,1,2,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,2,0,1,0,0,0,1,1,0,0,0,1,0,0,2,1,2,0,0,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,2,1,0,1,0,0,0,1,0,1,1,2,0,0,0,0,1,0,2,1,1,0,1,0,1,1,1,0,0,0,2,0,0,0,0,1,0,0,1,2,0,0,0,2,1,2,2,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,1,2,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,1,2,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1 1,0,1,1,1,0,1,0,1,1,0,1,0,0,2,0,0,0,1,0,0,1,0,0,2,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,1,0,0,0,2,0,1,1,1,1,0,1,0,0,0,0,0,1,2,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,1,1,2,1,1,2,0,1,1,0,0,0,0,1,0,1,1,2,1,1,0,0,0,0,1,2,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,2,1,1,2,0,1,0,2,0,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0,2,1,0,0,2,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,1,2,0,0,0,0,0,0,1,1,1,1,2,0,0,0,0,1,0,0,0,1,0,1,0,2,1,0,0,0,1,0,0,0,1,0,1,1,0,0,2,1,0,0,0,0,1,1,1,1,0,0,1,2,0,2,0,1,1,0,0,1,1,2,1,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,0,2,0,0,0,0,1,2,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,2,1,0,0,1,2,1,1,0,2,0,0,0,2,0,2,0,1,0,0,0,0,0,0,1,1,2,1,1,2,0,1,0,0,1,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,2,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,1,0,1,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,2,1,1,0,0,0,1,0,0,0,1,1,0,1,0,1,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,1,1,1,0,0,0,2,1,0,0,0,0,0,0,2,0,0,0,1,1,2,1,1,0,2,1,0,0,1,0,2,0,0,0,0,0,0,2,0,1,0,0,0,2,0,1,1,0,2,0,1,1,0,0,1,1,0,1,1,0,2,2,0,1,1,1,1,1,1,1,2,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,1,2,0,0,1,0,1,0,1,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,2,1,0,2,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,2,1,2,0,1,1,1,0,0,0,0,0,1,2,0,1,1,2,0,0,0,2,1,0,1,0,0,2,0,0,0,1,0,1,1,2,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,0,1,1,0,0,0,0,1,0,1,0,2,1,2,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,1,1,0,1,1,1,2,1,0,2,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,2,0,0,0,1,1,1,0,0,0,1,1,0,2,0,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,2,1,1,0,1,0,1,0,0,0,0,0,1,2,1,0,0,1,2,2,0,1,1,2,0,2,1,1,1,0,0,0,1,0,0,0,0,0,1 1,0,0,1,0,0,1,0,1,2,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,2,0,0,1,0,0,1,0,0,0,0,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,1,0,2,1,1,0,0,0,0,0,1,0,0,0,0,2,1,1,0,0,0,0,0,0,0,2,0,1,1,0,1,0,2,1,0,0,2,1,1,0,1,0,1,1,1,0,2,0,0,1,0,0,0,0,0,1,0,2,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,2,0,0,0,1,1,1,1,1,1,2,2,1,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,2,1,1,1,0,1,1,0,0,1,0,0,1,0,2,0,0,1,0,0,0,0,0,0,1,0,1,2,1,0,1,1,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,1,1,0,0,1,0,1,1,0,0,2,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,2,1,0,1,0,1,0,0,2,1,0,0,1,1,0,0,2,0,1,1,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,1,2,0,0,2,1,1,0,0,0,0,1,0,1,0,0,1,2,1,1,0,0,0,0,0,2,2,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,2,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,1,2,1,0,1,0,0,1,0,1,1,1,0,1,2,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,2,1,0,0,1,1,0,2,0,1,1,1,1,0,1,1,1,0,1,2,1,2,1,0,1,0,0,2,1,0,0,1,1,1,2,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,2,0,0,0,1,0,0,0,1,2,0,0,0,0,1,0,0,1,0,0,2,0,0,1,0,0,1,0,0,0,2,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,2,1,0,1,1,0,1,2,0,2,1,0,2,1,0,1,1,1,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,1,0,2,1,1,1,1,0,2,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,2,0,0,1,0,0,1,0,2,1,1,1,1,1,0,1,2,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,1,0,1,1,0,0,0,2,0,0,0,1,2,0,0,0,0,1,0,1,0,0,0,0,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,2,0,0,0,1,0,1,0,0,2,0,0,1,0,1,0,0,0,1,2,1,0,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0,2,0,0,0,1,0,0,1,0,0,1,0,0,0,2,1,1,1,0,1,0,0,0,0,0,1,2,0,0,0,0,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0,2,0,2,1,1,1,0,0,1,1,2,1,0,0,1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,1 1,0,2,0,1,0,1,2,0,0,1,1,1,1,2,0,0,2,1,0,0,1,1,0,2,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,2,1,1,0,2,2,1,0,2,1,0,0,0,0,2,2,0,0,2,0,1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,1,1,2,0,0,0,0,1,1,0,0,0,0,0,2,0,2,0,0,0,0,0,1,0,1,1,0,1,1,1,2,0,1,1,0,1,0,2,0,1,1,0,0,0,1,0,0,1,0,0,0,2,1,0,0,0,0,0,2,0,0,2,2,1,0,0,0,1,2,0,1,1,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,2,1,1,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,1,2,0,2,2,0,0,1,2,1,0,0,0,1,0,0,2,0,0,0,0,0,0,2,0,0,2,2,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,2,0,0,2,0,0,2,0,0,2,0,1,0,1,0,0,1,1,1,0,1,2,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,0,2,2,0,0,0,0,0,1,1,0,0,1,0,1,2,1,0,1,0,0,0,2,0,1,0,1,2,0,0,1,1,0,0,0,2,2,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,1,2,0,1,1,1,1,0,1,0,0,1,1,1,1,2,0,0,0,1,0,2,0,1,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,2,2,1,0,0,2,1,0,1,0,0,2,0,1,2,1,0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,1,1,1,2,0,1,0,1,0,1,0,1,0,0,1,0,2,0,1,0,1,0,0,0,1,2,0,1,0,0,0,1,1,0,0,1,0,0,0,0,2,1,0,0,1,1,0,1,1,0,2,0,1,1,0,2,2,1,1,0,1,1,1,0,0,0,1,1,0,2,0,2,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,2,0,0,1,1,1,0,0,0,0,1,0,0,2,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,2,1,0,0,0,2,0,0,1,1,0,1,0,0,2,1,0,2,0,1,0,1,1,1,0,0,1,1,2,0,2,1,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0,1,2,0,1,0,0,1,2,0,0,1,0,1,0,2,1,0,0,0,0,0,2,0,0,0,1,2,1,2,1,1,0,0,0,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,2,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,1,0,1,0,0,0,1,2,1,0,1,0,2,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,1,2,0,1,1,0,2,1,1,0,0,0,0,1,1,1,1,1,1,0,0,1,0,2,0,2,1,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,1,1,2,1,2,0,1,0,2,0,0,0,0,0,2,0,1,0,0,0,1,0,0,0,1,0,1,0,1,0,1,1,0,1,1,1,2,0,1,1,0,1,1,1,0,1,1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,2,0,1,0,1,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,2,1,0,0,0,0,0,2,1,2,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,1,0,2,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,2,0,1,1,0,0,2,0,1,1,0,1,2,0,1,1,1,1,1,1,0,1,0,1,2,1,1,1,0,0,0,0,0,0,2,1,0,1,1 1,0,0,1,1,0,0,1,1,2,2,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,1,2,0,1,0,0,2,0,0,0,1,1,1,0,0,1,0,0,0,0,0,2,1,0,1,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,1,2,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,2,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,1,1,1,0,0,2,0,0,2,1,1,1,0,2,0,2,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,2,2,0,2,0,0,0,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,2,0,2,0,2,0,0,0,0,0,2,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,2,2,0,1,0,0,0,2,0,0,1,1,0,1,0,0,0,0,1,1,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,2,1,0,0,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,2,1,0,0,1,2,0,0,0,1,1,0,1,0,1,2,0,2,1,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,1,1,0,0,0,0,0,1,1,1,0,1,2,1,1,0,0,2,2,1,1,0,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,2,1,0,0,1,2,0,1,1,0,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,1,2,0,0,0,1,1,1,0,2,0,1,0,0,0,1,1,0,0,1,1,0,2,0,1,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,2,0,0,1,1,2,0,0,0,1,0,1,2,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,2,2,0,0,0,0,0,2,1,1,0,0,0,0,1,0,0,2,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,0,1,2,0,0,0,1,1,2,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,2,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,2,0,1,2,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,2,1,0,2,2,0,0,1,0,1,1,0,0,1,0,0,2,2,0,0,2,0,0,0,2,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,2,0,1,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,2,1,0,0,1,0,0,0,2,2,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,2,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,1,2,0,0,0,2,0,0,1,1,0,0,1,0,0,1,0,1,2,1,1,0,1,0,0,2,0,1,1,0,0,0,0,0,2,1,1,1,0,0,1,0,0,0,0,0,1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,2,2,1,1,2,0,0,2,2,0,0,0,1,0,0,0,0,1,0,2,1,0,0,1,0,0,0,1,0,1,1,1,1,0,0,1,0,1,0,0,2,2,0,0,2,0,0,2,1,0,0,1,0,1,1,0,1,0,0,2,0,1,2,1,0,2,1,1,2,0,1,1,1,1,0,0,2,0,0,1,1,0,1,0,0,0,0,0,2,0,0,1 1,0,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,2,0,1,0,2,0,1,1,1,2,0,0,2,0,1,1,1,0,0,1,0,0,1,1,0,2,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,1,1,0,1,1,0,0,0,2,0,0,2,0,1,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,1,1,2,1,0,1,0,2,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,2,1,2,1,1,0,1,1,0,1,0,0,1,1,0,0,1,1,2,0,0,0,1,1,0,1,0,0,1,0,0,2,1,0,1,1,0,1,2,0,1,1,0,0,0,1,0,0,2,0,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,2,0,1,1,0,2,0,1,1,0,2,0,0,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,2,1,0,2,1,1,0,0,0,0,0,0,1,0,0,1,1,2,0,0,1,1,0,0,2,0,1,0,0,1,1,1,0,1,1,1,0,2,0,0,1,0,0,0,2,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,2,1,2,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,1,0,1,0,1,2,1,0,1,1,0,1,2,1,1,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0,0,1,2,2,1,1,1,1,0,0,0,1,1,1,1,0,1,2,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,1,0,0,1,1,0,0,2,0,1,2,1,0,0,0,1,2,0,1,0,1,1,0,0,0,0,2,0,1,2,0,0,0,0,0,2,1,2,1,0,2,2,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0,1,2,1,0,0,0,1,0,0,1,1,0,1,2,0,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,2,0,0,0,0,1,0,0,1,0,0,0,1,2,0,1,0,1,0,1,1,0,1,1,1,0,0,1,2,0,0,0,0,0,0,0,0,1,1,1,0,2,1,1,0,0,0,2,0,0,1,2,0,1,0,1,0,0,1,1,0,0,0,0,0,1,2,0,0,0,0,0,0,1,1,2,0,1,1,0,0,0,0,2,2,1,0,1,2,1,0,0,2,0,1,1,1,1,0,0,1,1,0,2,1,0,0,1,1,2,2,1,0,2,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,1,2,1,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,1,1,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,2,0,2,0,1,0,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,0,0,0,0,1,2,1,1,2,0,1,0,0,0,0,0,2,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,1,2,0,1,0,0,2,0,1,0,0,1,2,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,2,0,0,0,0,1,0,0,2,1,1,0,0,0,0,1,0,0,0,1,1,0,2,1,0,0,0,0,0,0,2,1,1,2,1,1,0,2,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,1,2,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,2,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,2,2,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,2,0,0,0,0,1,0,0,0,0,0,0,2,1,0,1,1,0,1,0,2,1,0,0,2,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,2,0,1,0,0,2,0,1,1,1,0,1,1,1,1,1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,1,1 0,0,1,1,1,1,1,0,1,1,1,2,1,1,0,0,0,2,1,1,0,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0,1,2,0,0,2,1,1,0,0,0,0,1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,1,1,0,2,0,1,1,1,0,0,2,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,2,0,1,1,0,0,0,0,2,0,0,0,0,1,0,0,0,2,1,1,0,1,2,1,0,0,0,1,0,1,0,0,1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,2,0,0,0,0,1,0,2,0,0,2,0,0,0,1,0,0,0,1,1,0,2,0,0,0,0,0,0,1,0,0,0,1,0,1,2,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,2,0,1,0,1,1,2,1,0,0,0,0,0,2,0,1,1,0,0,0,0,1,0,0,0,0,1,0,2,1,1,0,2,0,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0,0,2,2,0,0,0,0,0,1,0,0,1,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,0,1,2,0,0,0,1,1,0,1,0,2,0,0,2,0,0,0,2,1,1,1,0,0,0,0,1,1,1,0,0,0,2,0,0,2,0,0,0,0,1,1,1,0,2,1,1,0,0,0,1,0,0,2,1,0,1,0,2,0,0,0,1,2,0,1,0,1,0,0,1,1,2,0,0,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,2,0,2,1,0,2,0,0,1,0,0,0,1,1,1,1,0,1,0,1,1,1,1,2,0,1,0,1,0,0,1,0,0,0,1,0,1,2,0,0,0,1,0,1,0,0,0,1,0,1,0,0,2,1,0,1,0,1,0,2,0,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,2,1,1,0,1,0,1,0,0,0,1,1,2,0,0,0,1,0,2,0,2,1,1,1,2,0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,1,1,2,2,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,2,0,2,0,1,0,2,0,0,2,0,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,2,1,1,0,0,0,0,1,0,0,1,1,2,2,0,0,2,1,1,2,1,1,0,0,0,2,0,1,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,0,2,0,0,0,1,0,1,1,0,0,1,0,0,2,1,0,1,1,2,0,0,2,0,1,1,0,0,0,1,1,2,1,0,0,1,0,0,1,1,0,0,0,0,0,2,0,0,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,1,2,1,0,0,1,1,1,2,2,1,1,1,1,1,1,0,0,0,0,1,0,2,1,1,1,0,0,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,2,1,0,0,0,1,0,0,1,0,2,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0,1,2,1,2,0,1,0,0,2,2,0,0,1,0,1,0,1,0,0,2,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,2,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,2,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,2,2,0,0,0,1,1,1,0,2,0,0,0,0,1,0,2,0,1,0,1 0,0,1,1,0,0,0,0,1,1,0,1,0,1,2,0,0,0,1,0,0,1,0,0,1,2,1,1,1,1,2,0,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,1,0,1,0,1,1,1,0,2,0,0,1,0,0,1,2,1,1,0,1,0,1,1,1,0,0,2,0,0,2,0,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,1,2,1,0,1,0,0,0,0,0,2,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,2,1,0,0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,1,0,0,1,2,1,2,0,1,0,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,2,0,0,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,1,1,1,0,0,0,1,1,1,2,0,1,0,1,0,1,1,0,2,0,0,0,0,2,1,0,0,1,1,0,0,0,0,0,0,2,1,2,1,0,1,1,2,2,1,1,0,1,1,1,0,0,0,0,0,1,2,1,2,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,1,2,0,0,1,0,0,0,0,1,1,2,0,1,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,1,2,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,1,2,0,0,0,0,0,2,1,1,0,0,1,1,0,0,1,0,0,0,0,1,1,0,1,1,1,0,0,0,2,0,0,0,0,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,2,1,1,0,2,0,0,1,1,0,2,0,0,0,0,0,1,0,1,0,0,0,0,2,2,0,0,0,1,0,0,1,1,1,0,0,0,0,1,1,1,0,1,0,1,2,1,0,0,0,0,1,1,0,1,1,0,1,0,0,2,0,1,2,0,0,0,2,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,1,0,2,1,0,2,1,0,1,2,0,0,2,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,1,1,1,1,2,0,1,0,1,1,1,0,0,2,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,2,0,1,0,2,0,0,1,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,2,0,1,0,1,0,2,0,0,0,2,1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,1,1,1,2,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,2,1,0,0,1,2,0,0,1,0,0,2,1,1,2,0,0,2,0,0,2,0,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,2,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,1,1,0,0,2,0,0,1,1,0,0,0,0,1,0,0,1,0,2,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,2,0,1,0,0,0,1,2,1,0,0,2,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0,1,2,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,2,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,2,0,0,0,0,1,0,1,1,2,1,0,2,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1 1,0,0,1,0,1,1,0,0,2,1,0,1,1,1,1,0,2,0,0,0,0,2,1,0,1,1,2,0,1,1,0,2,1,1,0,1,1,0,0,1,0,1,1,1,0,0,2,0,1,0,0,1,0,0,0,1,0,2,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,1,0,0,0,1,2,2,0,0,1,0,0,1,2,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1,0,0,0,1,1,2,0,0,1,0,2,1,0,2,2,2,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,0,2,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,1,0,1,1,1,0,0,1,1,2,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,2,1,2,0,0,0,0,1,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,1,1,2,1,0,2,0,0,1,1,0,1,2,1,2,1,0,0,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,2,0,0,0,2,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,2,2,2,2,0,1,0,2,2,0,1,1,1,0,0,2,1,0,1,0,0,0,0,0,0,0,2,1,0,0,0,1,2,2,1,0,1,0,1,0,0,0,1,2,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,2,0,0,2,1,0,1,0,0,0,0,1,0,2,1,1,1,1,0,1,0,0,0,2,0,0,0,1,1,0,1,0,1,0,1,0,0,1,2,1,0,0,0,0,0,2,2,0,0,0,0,0,2,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,2,0,1,1,1,0,2,0,0,1,1,1,1,2,0,0,0,1,2,2,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,1,1,0,2,0,0,1,2,2,0,0,1,0,1,2,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,1,1,1,2,1,0,0,1,0,1,0,0,2,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,2,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,1,1,1,1,0,0,1,0,0,1,1,0,2,1,0,1,0,0,0,0,1,2,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,2,0,1,1,1,1,0,0,0,1,0,0,2,1,0,1,0,0,2,0,2,0,1,0,0,0,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,2,1,1,0,0,1,0,0,1,0,0,2,0,1,0,1,0,1,0,0,2,0,0,0,0,0,0,2,2,0,0,0,1,1,1,0,1,0,0,2,0,0,2,2,0,0,0,0,0,0,0,1,0,0,0,2,1,0,2,0,0,0,0,0,1,1,0,1,0,2,1,0,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,2,0,0,0,0,0,1,0,0,0,2,0,1,0,1,0,1 1,0,2,2,0,0,1,1,1,0,1,1,0,1,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,2,0,1,2,1,0,1,0,1,2,0,0,0,1,0,1,2,2,1,0,0,1,0,0,0,0,2,0,0,0,1,2,0,0,1,0,1,0,0,0,0,0,2,1,2,0,0,1,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,2,2,1,0,1,0,2,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,2,0,1,0,0,0,0,2,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,2,0,0,1,0,1,1,1,1,0,0,0,0,1,1,2,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,1,1,2,0,0,1,0,0,2,0,2,1,0,0,2,1,0,0,0,2,0,0,1,0,0,1,1,1,1,0,2,0,1,1,0,0,0,1,0,1,0,0,0,0,2,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,2,2,1,1,2,0,0,1,2,0,1,0,0,0,1,0,0,0,0,1,0,2,1,2,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,2,1,0,1,1,1,0,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,2,1,1,1,1,0,0,1,1,1,0,0,2,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,1,2,0,0,2,1,0,0,0,0,1,0,1,1,0,1,0,1,1,0,1,2,0,1,0,1,0,0,0,1,0,0,1,1,2,0,0,0,1,0,1,2,0,0,1,0,0,2,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,2,1,1,1,0,1,0,0,0,0,1,1,0,2,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,2,0,2,0,0,0,0,1,0,0,1,1,1,0,0,1,2,1,1,1,0,1,0,1,1,0,2,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,2,0,2,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,2,0,1,2,1,0,1,2,1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,2,0,0,0,1,0,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,2,1,2,1,0,0,0,1,0,1,2,1,0,0,0,0,0,1,0,0,0,1,0,1,0,2,0,2,0,0,1,1,0,0,2,1,1,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,1,1,0,0,0,1,1,0,1,0,0,0,2,0,2,0,1,0,2,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,2,1,0,2,1,2,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,2,1,1,1,0,1,1,1,0,0,2,1,1,1,1,0,0,0,2,0,0,0,0,0,0,1,0,0,1,1,0,0,1,2,0,1,0,0,0,0,2,1,1,0,1,1,0,0,0,0,0,1,2,0,2,0,0,0,1,0,0,0,0,0,0,0,2,0,1,1,2,0,0,0,1,1,0,2,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,2,1,1,1,0,0,0,2,2,0,0,0,0,0,2,1,0,2,1,2,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,2,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,1,2,0,0,1,1,2,2,1,1,0,0,0,0,0,2,1,1,0,0,0,0,1,1,1,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1 0,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,2,0,0,2,0,0,2,0,1,1,1,0,0,0,0,0,0,0,0,2,1,1,0,2,1,0,2,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,2,0,0,2,0,2,1,0,0,1,2,0,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0,2,1,1,0,1,2,1,1,1,0,2,0,0,1,1,0,2,0,2,1,0,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,1,2,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,2,0,0,1,0,0,2,0,1,1,0,2,0,1,0,0,1,0,1,1,0,1,1,2,0,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,1,2,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,2,0,1,1,2,0,1,1,1,0,2,1,2,0,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,2,1,1,1,0,1,1,0,1,2,0,1,0,0,0,0,0,1,1,2,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,2,0,1,0,1,1,1,1,0,0,0,2,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,1,1,0,2,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,2,0,0,2,1,0,0,1,1,2,1,1,0,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,2,1,1,0,2,1,2,0,2,1,0,0,0,1,0,0,0,1,1,2,0,2,0,0,0,1,1,0,1,2,0,0,0,2,2,0,0,1,0,0,2,0,0,0,1,1,0,0,2,0,2,0,0,1,1,0,0,1,0,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,2,1,1,0,0,1,2,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0,2,0,2,0,0,2,0,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,2,0,1,1,0,0,1,0,2,1,1,0,1,0,1,1,0,2,0,0,0,0,1,0,0,1,0,2,0,1,1,2,0,2,0,0,0,0,2,0,0,2,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,1,0,1,0,0,0,2,1,0,0,2,0,0,0,2,0,2,0,0,2,0,1,0,0,1,1,0,2,0,0,0,1,0,2,2,0,1,0,1,1,0,1,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,2,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,2,0,1,1,0,0,0,0,0,0,1,0,2,1,0,2,0,0,1,1,1,1,0,2,0,1,0,0,2,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,2,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,1,1,1,0,2,0,0,1,0,0,0,1,2,1,1,2,0,1,1,0,1,1,1,0,0,0,1,0,0,2,0,0,1,0,0,0,1,1,1,0,0,0,2,0,2,0,2,1,1,1,0,1,0,0,0,0,1,1,0,0,0,0,1,0,2,0,1,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,1,2,0,2,0,1,0,0,0,0,2,1,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,2,0,0,0,2,0,0,0,2,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,1,0,0,0,2,1,0,1,0,1,1,0,0,2,0,0,1,0,0,1,0,0,2,1,0,0,1,2,1,0,0,1,0,0,0,0,0,1,2,0,0,0,1,0,2,1,1,0,1 1,0,1,0,2,0,0,2,0,0,1,0,1,0,2,0,0,0,1,0,0,0,0,1,2,1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,2,2,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,1,2,1,1,0,0,1,1,0,2,1,0,1,0,0,0,2,0,0,0,0,1,0,2,1,1,0,1,0,0,0,2,0,1,1,0,1,1,0,0,0,0,0,2,0,0,0,0,1,1,0,0,1,0,0,2,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,2,0,1,0,0,2,0,1,1,0,0,0,2,0,1,0,1,0,0,0,1,0,1,2,0,1,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,1,1,0,0,2,0,0,0,0,1,0,1,1,1,1,1,0,2,0,0,0,0,0,2,0,0,0,1,0,0,1,1,1,2,1,1,1,0,1,2,0,0,0,1,0,0,1,1,1,0,0,2,1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,2,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,2,0,1,0,0,0,2,1,0,2,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,1,2,0,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,1,0,0,2,0,1,0,0,1,1,2,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,2,0,0,0,1,1,0,0,1,0,0,0,2,2,1,0,2,0,1,0,1,0,0,1,2,0,0,1,2,0,1,1,0,2,2,1,1,0,2,0,0,0,0,1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,1,2,1,0,0,0,2,0,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0,2,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,0,1,1,1,1,2,1,0,0,0,2,1,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,1,1,0,1,2,1,1,1,0,0,1,0,1,1,0,0,1,0,2,0,1,2,0,1,1,0,2,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,2,2,0,1,1,0,1,0,1,0,0,0,2,1,0,2,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,2,1,0,0,0,1,0,0,1,0,0,0,2,1,1,1,1,2,1,1,2,0,0,0,0,0,1,1,0,1,2,1,0,0,0,1,2,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,2,1,0,1,1,0,0,0,2,1,0,0,2,0,0,1,1,0,1,1,0,0,1,0,1,0,0,2,0,1,0,0,2,1,0,1,0,1,0,1,1,1,0,2,0,0,1,0,0,2,0,0,1,1,0,1,0,0,0,0,1,0,0,1,1,1,1,0,1,2,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,1,1,1,2,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,0,0,2,1,0,1,1 2,0,0,2,2,0,0,2,0,2,1,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,2,1,0,1,1,0,2,0,1,0,2,0,0,0,1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,2,1,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,1,0,1,1,2,2,0,1,1,0,2,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,2,0,0,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,1,0,0,2,1,0,0,1,1,0,0,1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,2,1,1,0,0,1,0,0,0,0,2,2,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,1,1,2,0,1,0,0,1,0,1,1,2,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,2,0,0,1,1,0,0,0,1,2,0,0,1,1,0,0,1,0,1,0,0,0,1,2,0,1,0,0,0,2,1,0,0,2,0,0,0,1,0,1,0,0,1,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,2,0,0,0,0,0,0,0,0,2,1,0,0,1,1,1,0,0,1,1,2,0,0,0,0,1,2,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,2,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0,2,0,1,0,0,0,2,0,0,1,0,1,1,0,0,2,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,1,2,0,0,2,0,0,1,0,1,0,0,2,1,0,1,0,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,2,0,1,2,0,1,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,2,0,0,1,0,1,0,0,0,2,0,0,0,0,1,1,1,0,1,1,0,0,2,0,1,0,1,1,0,1,0,2,0,0,1,1,0,0,1,2,0,0,1,0,0,0,0,1,2,0,0,0,1,2,0,0,0,2,0,1,0,1,0,0,0,1,2,0,0,2,1,1,0,1,1,2,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,2,1,1,1,0,0,1,1,2,1,0,0,0,1,0,2,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,2,0,1,0,1,2,0,0,1,0,1,2,1,0,2,0,1,1,0,1,0,0,2,1,1,0,0,1,1,1,1,0,2,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,2,0,2,1,0,1,0,1,1,0,0,0,0,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,2,1,0,0,0,0,1,0,0,1,0,1,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,1,1,0,0,2,0,0,0,0,0,1,0,0,0,1,0,2,0,0,0,1,1,0,0,0,0,1,2,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,2,0,1,0,0,0,0,1,1,0,2,0,0,1,1,0,0,1,1,1,0,1,1,0,1,2,0,1,1,0,1,0,2,1,0,0,1,0,0,0,0,1,0,0,2,0,1,1,0,1,1,1,0,0,2,0,1,0,1,0,1,0,2,0,0,1,1,0,0,0,1,2,0,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,1 0,0,0,0,0,0,1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,1,2,0,1,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,2,0,1,0,0,0,1,0,0,0,0,0,0,2,0,2,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,0,0,1,2,0,0,1,2,1,0,2,0,1,2,0,0,2,1,0,1,0,1,0,1,0,1,0,0,0,0,0,2,1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0,2,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,2,0,1,0,0,0,0,1,1,0,0,0,0,0,0,2,2,0,1,0,0,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,2,0,0,1,0,0,0,0,0,1,2,1,0,0,0,1,0,0,0,1,0,0,0,1,0,2,1,1,1,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,1,2,0,1,1,1,0,1,0,0,0,1,1,0,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,2,2,1,0,1,1,0,0,1,1,2,1,0,0,0,2,0,0,0,0,1,2,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,2,0,0,1,0,0,1,1,1,0,0,1,2,2,0,0,1,0,0,0,0,1,1,0,0,0,1,1,1,0,1,1,0,0,1,0,1,0,0,2,0,2,0,0,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,1,1,1,0,1,1,0,2,1,1,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,1,1,2,1,1,2,0,1,0,0,1,2,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,2,0,0,2,2,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,1,2,0,0,0,2,1,1,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,1,1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0,2,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,2,2,1,0,0,0,1,1,0,1,0,1,1,0,1,2,0,0,0,0,0,0,1,0,1,1,1,0,1,1,0,1,1,0,0,2,1,0,0,1,0,1,0,0,1,0,0,0,1,1,2,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,2,1,1,0,0,1,0,1,2,0,0,1,0,0,2,1,0,0,1,0,0,2,0,0,0,0,0,0,0,2,1,1,0,1,0,1,1,1,2,1,0,2,0,0,0,0,0,0,1,1,0,2,1,0,0,1,1,1,1,0,1,0,0,0,2,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,2,2,0,1,1,1,1,0,0,0,2,0,0,0,1,2,1,2,1,2,0,0,0,1,0,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,2,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,2,1,0,0,0,0,0,2,0,0,0,0,1,0,1,2,0,1,1,0,0,1,0,0,1,2,1,0,1,0,0,0,1,2,1,0,0,0,1,1,1,0,0,2,1,0,1,0,2,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,1,0,2,0,1,2,0,0,0,0,0,0,0,0,1,1,1,0,2,0,1,0,0,1,2,0,0,2,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,2,1,1,0,1,0,1,1,0,0,0,2,1,1,2,1,2,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,2,0,0,0,2,0,0,1,0,0,0,0,0,1,0,1,1,0,1,1 0,0,0,0,1,0,0,2,0,1,2,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,1,1,0,2,0,1,1,0,0,2,0,0,1,2,1,0,1,2,1,0,1,0,1,1,0,2,0,2,0,1,1,1,0,0,0,0,0,0,0,1,2,0,0,1,0,2,1,0,0,0,1,0,0,0,0,0,0,2,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,1,1,1,1,1,0,1,2,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,2,1,0,2,0,0,2,1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,2,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,2,0,1,0,0,0,1,0,1,0,1,1,0,2,2,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,1,2,2,1,0,0,0,1,0,2,0,0,0,1,0,1,0,0,0,0,2,0,1,0,0,0,1,0,1,1,1,1,2,0,1,2,0,0,2,0,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,2,0,0,2,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,2,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,0,0,0,1,1,2,0,1,0,0,0,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,0,1,1,1,2,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0,1,2,1,0,0,0,1,1,0,1,1,0,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,2,0,1,0,0,0,1,0,0,1,2,1,0,1,1,1,1,0,1,0,1,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,1,1,0,1,2,2,0,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,2,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,1,2,0,2,0,2,2,0,0,2,0,0,0,1,1,1,1,0,1,0,1,1,0,1,1,1,0,1,0,1,0,1,2,1,2,1,0,0,1,1,1,1,0,0,0,0,1,0,1,2,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,2,0,0,1,1,0,1,1,0,0,1,1,2,0,0,0,2,0,1,1,1,0,1,0,0,1,1,0,0,2,1,0,0,2,0,0,0,0,1,1,1,0,2,0,0,2,1,1,0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,2,2,0,0,0,0,0,1,0,0,1,0,0,2,0,1,0,0,0,0,0,2,0,1,0,1,2,0,0,0,0,1,1,0,0,1,1,2,0,1,0,0,0,2,1,0,0,0,0,1,0,0,1,0,1,1,2,2,2,0,0,0,2,1,0,0,1,1,1,1,0,0,0,2,0,0,1,1,0,0,0,1,1,0,0,0,0,1,1,2,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,1,2,0,2,0,0,1,0,0,1,0,0,1,0,0,1,0,2,0,2,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1 1,0,2,2,0,0,0,0,0,1,1,1,0,2,2,0,0,1,1,0,1,0,0,1,1,1,0,1,0,2,1,0,1,0,0,0,1,1,2,0,1,2,2,0,1,2,0,0,0,0,1,0,1,0,1,0,2,0,2,2,1,0,2,0,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,2,0,1,1,0,1,0,2,0,1,0,1,0,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0,2,1,1,0,0,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,2,0,1,1,1,2,1,0,0,0,0,0,0,1,2,0,0,1,0,0,1,0,0,0,0,0,2,1,1,1,0,0,0,2,0,0,1,1,0,1,2,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0,0,2,0,2,0,1,1,1,2,0,0,1,1,0,1,0,0,0,1,1,0,2,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,2,0,1,1,1,0,0,0,0,0,1,2,0,2,1,0,1,0,1,1,0,0,0,0,1,1,0,0,2,0,0,2,2,0,0,1,2,1,0,0,1,1,1,1,0,1,2,0,2,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,1,2,0,0,0,1,1,1,0,0,2,2,1,1,0,0,1,0,0,1,1,0,0,2,1,0,2,0,0,1,0,2,0,0,2,0,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0,1,1,1,0,2,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,2,0,2,0,0,2,0,1,0,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,2,0,1,0,0,0,1,1,0,1,0,0,0,1,2,2,0,0,0,1,1,0,1,0,1,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,2,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,2,1,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,2,1,1,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,2,2,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0,1,1,0,0,2,0,0,1,0,0,1,2,0,0,0,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0,2,0,0,1,1,1,1,0,2,1,2,0,1,0,0,0,1,2,2,0,0,1,0,0,0,2,0,0,1,1,0,0,0,1,0,1,0,2,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,1,1,2,1,1,0,0,1,1,1,0,0,0,0,1,2,0,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0,1,1,0,2,1,0,1,0,0,2,0,0,0,1,0,1,0,0,0,1,0,1,1,2,0,0,1,1,0,2,0,1,0,0,1,0,0,0,0,0,1,1,2,0,0,1,2,0,1,0,1,1,1,0,2,0,2,0,0,2,2,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,2,0,0,0,0,0,2,0,0,2,0,0,0,0,1,2,0,0,0,1,0,1,2,1,1,1,0,0,2,1,0,0,0,0,0,0,0,1,1,0,1,1,0,2,1,0,0,0,0,0,1,1,1,2,1,0,2,0,0,0,0,1,1,0,2,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,2,1,0,1,0,1,0,2,1,1,2,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,1 1,0,0,0,0,0,0,0,0,0,1,1,0,0,2,0,1,1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,2,1,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0,2,0,0,1,1,1,0,0,1,1,1,0,0,2,0,0,1,1,0,0,0,0,0,1,1,0,0,1,2,0,0,1,0,0,0,0,0,1,0,0,1,0,2,1,1,0,2,0,1,0,2,2,2,2,0,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,0,2,1,1,0,1,0,0,0,2,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,2,0,1,1,0,0,1,0,0,2,1,0,1,0,1,0,1,1,0,0,1,2,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,2,1,1,1,0,1,0,2,2,0,0,0,1,0,1,1,2,0,0,1,0,0,0,1,0,0,1,1,0,2,2,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,1,0,0,1,2,0,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,2,0,0,0,1,1,0,0,1,1,0,1,0,0,2,0,2,1,0,1,1,0,0,1,1,0,2,1,1,1,0,2,1,1,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,2,0,0,2,1,0,0,0,0,0,1,0,2,1,1,1,0,0,0,1,0,2,1,0,1,1,1,0,0,1,1,2,0,1,2,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,0,2,1,0,0,0,0,2,2,0,1,2,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,2,1,0,0,1,1,0,1,0,0,0,1,1,0,0,2,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,2,1,0,1,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,2,1,1,0,1,0,0,0,0,0,0,0,2,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,2,0,1,0,0,1,1,1,1,1,0,0,0,0,2,0,0,0,1,2,0,0,0,1,0,1,0,1,0,1,0,1,0,1,2,0,1,1,1,0,0,0,1,0,1,0,1,1,0,1,1,0,1,2,1,0,0,0,0,0,0,1,1,2,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,2,1,1,0,0,2,0,2,0,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,2,1,1,2,1,1,0,0,0,0,0,0,1,0,0,1,0,0,2,0,1,0,1,2,2,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,2,0,1,0,2,1,0,0,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,2,1,0,0,1,2,0,0,2,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,2,0,1,1,1,1,0,0,2,0,1,1,0,0,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,2,2,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,1,2,0,0,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,1,0,2,1,0,0,2,1,0,0,2,0,1,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0,1,0,1,0,1,0,0,1,1,1,0,2,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1 1,0,1,1,0,1,0,0,2,1,1,1,1,1,1,1,1,1,1,0,0,0,2,0,0,0,2,0,1,0,1,0,0,0,0,0,1,1,0,1,1,0,1,2,1,1,0,1,0,1,1,0,0,0,1,0,1,0,2,1,0,1,1,0,0,1,0,0,0,0,0,2,1,1,0,0,0,2,0,0,1,0,0,2,0,0,0,0,2,1,1,0,0,0,1,0,1,0,1,0,0,1,0,2,1,1,1,2,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,2,0,0,0,1,1,0,0,0,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,2,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0,2,0,1,0,2,1,0,0,0,1,0,0,0,1,2,2,2,0,1,1,1,0,1,1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,1,1,0,0,0,1,2,1,1,1,0,0,1,0,1,1,0,1,2,0,0,1,2,1,1,2,2,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,2,2,1,2,0,1,1,0,0,0,0,1,1,1,1,1,0,1,1,2,1,0,1,0,1,2,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,2,1,1,0,0,2,0,0,0,0,0,0,0,1,0,1,0,2,1,2,0,0,0,1,1,0,0,2,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,1,0,2,0,2,1,0,0,0,0,1,1,1,0,1,0,2,0,0,1,0,2,0,0,1,0,0,1,0,2,0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,0,0,0,0,0,0,0,2,1,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,2,0,1,2,1,0,1,0,0,0,1,0,0,0,0,0,2,2,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,2,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,2,1,2,1,1,1,1,0,0,0,0,0,0,2,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,2,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,2,1,1,2,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,2,1,2,0,1,2,0,0,0,0,1,1,0,0,1,1,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0,1,0,1,1,2,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,2,0,2,0,2,1,1,0,0,1,0,0,0,1,1,1,2,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,0,1,0,2,0,0,0,1,0,0,1,0,1,0,0,1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,2,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1,2,2,1,1,1,0,0,0,2,0,0,0,2,1,1,1,1,1,1,0,1,1,2,0,0,0,0,1,1,0,1,2,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,2,0,1,0,0,0,0,0,1,0,2,2,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,1,0,1,1,0,0,2,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,1,1,1,1,2,0,0,1,2,1,0,0,0,1,0,0,0,1,0,0,0,2,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,1,2,1,2,0,0,1,0,0,0,0,1,1,0,1,0,0,2,1,2,0,1,0,0,0,2,1,1,0,0,0,0,0,0,1,1,0,0,1 0,0,1,2,1,1,0,1,1,1,1,2,0,2,2,0,1,0,1,0,0,0,0,1,1,0,2,1,0,1,1,0,1,1,0,0,0,0,1,0,1,2,0,1,0,2,0,2,0,1,1,0,0,0,1,0,2,2,1,1,1,0,1,1,0,1,0,2,0,0,2,0,1,2,0,1,0,0,0,0,1,0,0,0,1,1,1,0,1,0,2,2,1,0,0,1,2,0,1,0,0,0,1,0,1,1,0,2,0,1,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,1,2,0,1,1,0,0,1,0,1,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,2,0,1,1,0,0,0,1,2,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,2,1,1,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,1,0,0,2,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,2,0,1,1,0,0,1,0,1,0,0,2,0,0,0,0,0,0,0,2,0,2,0,0,0,0,1,1,1,0,2,0,0,1,1,1,2,1,0,0,0,0,0,0,2,1,1,0,0,1,2,1,2,0,0,2,2,0,1,1,0,0,0,1,0,1,2,0,1,0,1,0,0,0,1,1,1,1,1,0,0,2,0,0,0,0,2,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,2,0,1,0,2,2,0,0,2,1,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,2,0,0,1,0,0,0,0,0,0,2,2,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,2,1,1,1,1,2,2,0,2,1,0,0,1,1,1,0,2,0,0,2,0,0,1,0,0,0,1,1,2,1,2,0,1,0,0,1,1,0,1,0,2,1,2,1,1,0,0,0,1,0,1,2,0,0,1,1,2,1,2,1,1,0,0,1,1,0,0,1,0,1,0,2,0,0,0,2,0,0,0,2,2,1,0,1,1,0,0,2,1,0,1,2,1,1,0,0,1,0,1,1,0,1,2,2,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,2,1,1,0,0,0,0,0,2,2,0,0,0,0,0,0,1,0,0,2,0,0,1,1,1,0,2,1,0,1,0,0,0,0,0,2,2,1,0,1,1,0,0,0,0,1,2,1,1,1,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,1,1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,2,2,0,1,1,0,0,2,0,1,1,2,0,1,0,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0,2,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,2,1,1,1,1,0,1,0,0,0,2,1,2,0,0,0,0,0,0,2,1,0,0,1,0,1,1,0,0,1,0,0,0,2,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0,1,2,0,1,0,2,0,0,0,1,1,0,1,2,0,1,1,0,2,1,0,0,2,1,0,1,0,2,1,1,1,1,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,2,2,0,2,0,0,1,1,1,0,0,1,1,1,1,1,2,1,0,0,1,1,1,2,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0,1,2,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,1,0,1,1,2,1,0,1,1,0,1,0,0,0,0,1,1,1,1,1,0,2,1,2,0,0,1,0,0,1,0,0,2,2,0,0,0,0,1,0,1,1,0,0,0,0,2,1,1,1,0,0,0,0,1,1,0,0,0,0,2,1,0,1,0,2,1,0,0,1,1,0,2,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,2,0,0,0,1,0,0,0,0,2,1,2,0,0,1,1 0,0,0,1,2,1,2,0,1,1,1,1,0,0,1,2,0,1,1,0,0,0,0,1,0,1,0,1,0,0,2,0,1,0,0,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,2,0,1,1,1,0,0,0,0,0,1,1,1,1,2,0,0,2,0,0,0,0,0,0,2,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,2,1,1,0,0,0,0,2,1,0,0,1,1,2,0,0,0,0,0,1,0,0,2,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,2,1,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,1,1,0,2,1,0,2,1,0,1,0,0,0,0,2,0,0,1,0,1,0,0,1,1,2,1,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,1,1,1,1,0,0,0,2,0,2,0,0,0,0,1,0,0,2,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,2,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,2,0,2,0,1,0,0,1,0,0,1,0,2,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,1,0,1,0,1,2,0,1,2,1,2,0,1,0,2,0,0,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,1,2,2,0,1,0,0,0,0,1,2,0,0,0,0,1,0,1,0,2,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,1,1,1,1,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,2,0,2,0,0,1,1,1,0,0,1,2,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,1,2,2,0,0,0,0,0,2,0,1,1,1,0,2,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,2,1,1,2,0,1,0,0,1,0,1,1,2,0,0,1,0,1,2,1,0,2,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,1,2,0,0,2,1,0,1,0,0,0,2,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,2,2,2,0,0,2,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,2,1,0,2,0,1,1,2,0,1,0,1,0,0,2,2,1,0,1,0,1,2,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,1,2,0,0,1,0,0,0,0,2,0,2,0,0,0,0,0,0,2,0,1,0,1,0,1,2,1,0,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,2,0,1,2,1,1,1,0,1,0,0,2,1,1,0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,2,1,0,0,0,0,2,1,0,0,1,0,1,0,0,1,0,1,0,0,2,0,0,2,0,0,1,2,0,0,1,0,0,0,2,0,1,1,0,1,1,1,1,0,1,0,1,2,0,0,1,0,0,2,2,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,2,0,1,0,1,0,0,1,1,1,0,0,0,2,0,0,1,0,1,0,0,0,1,0,2,1,1,0,1 0,0,1,1,0,0,2,0,1,0,2,1,1,2,0,0,0,1,0,0,0,0,0,2,0,1,0,2,0,0,1,0,0,1,0,0,1,0,1,0,2,0,1,0,0,1,0,0,0,1,2,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,1,1,0,0,2,0,0,1,0,0,1,2,0,0,1,0,0,0,0,2,1,0,0,0,1,1,0,0,0,1,1,1,1,0,0,1,0,1,1,2,1,0,0,1,1,1,0,1,1,0,1,1,2,2,0,1,0,0,0,0,0,2,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,2,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,2,2,0,1,0,1,0,1,0,0,0,1,0,0,1,0,1,0,1,0,2,0,0,2,2,0,0,0,1,2,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,1,1,0,2,0,2,0,0,2,2,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,2,1,1,0,2,1,0,0,0,0,1,1,1,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0,2,0,1,1,1,0,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,1,2,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,1,1,0,1,2,0,0,1,0,2,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,2,1,1,0,0,2,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,2,2,2,2,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,1,2,0,0,2,0,2,0,0,0,0,2,0,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,1,1,0,1,0,1,1,2,0,1,0,0,0,2,0,0,0,0,1,0,1,1,1,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,2,0,1,0,0,1,0,2,0,0,1,0,1,1,0,0,1,1,1,1,0,1,1,1,2,0,0,1,1,1,2,2,1,0,0,1,0,1,0,0,2,1,1,1,1,1,0,0,0,1,2,1,1,0,1,2,0,0,0,1,2,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,2,0,1,1,0,0,0,0,0,1,1,0,0,1,2,1,1,0,1,2,1,0,2,2,1,0,0,0,1,1,2,0,2,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,2,0,1,1,0,0,0,1,1,1,1,1,2,1,1,2,1,1,1,0,1,0,0,0,2,0,0,0,1,0,1,0,0,2,2,2,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,2,0,0,0,2,0,2,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,1,0,2,0,0,2,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,1,1,1,0,0,0,0,2,2,2,0,0,0,1,0,0,0,1,0,0,1,1,2,1,2,1,0,0,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,2,1,2,0,0,2,0,1,1,1,2,0,0,0,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,1,0,2,0,1,0,0,0,0,1,2,1,0,2,0,1,1,0,0,0,1,1,0,1,2,0,2,0,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,2,0,0,0,2,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,2,0,0,1,2,0,0,0,0,0,0,0,1,0,0,1,0,2,0,2,2,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,2,0,0,1 0,0,1,0,2,1,0,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1,1,2,0,2,0,0,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,1,2,0,0,0,1,2,0,2,0,0,0,1,2,1,2,1,0,0,0,1,0,0,0,0,0,2,0,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,2,1,1,0,0,1,1,0,0,0,2,1,1,1,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,1,2,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0,2,0,1,0,0,1,0,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,0,1,1,0,1,0,1,1,0,2,2,2,1,0,2,0,0,1,0,1,1,0,0,0,0,1,0,1,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,2,0,1,0,0,1,1,0,1,0,0,1,1,0,2,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,2,0,2,1,1,0,0,0,1,0,0,0,0,0,2,1,2,0,0,2,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,2,1,0,0,1,0,0,1,1,0,2,1,0,0,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,2,0,0,2,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,2,1,1,0,0,1,0,2,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,1,1,1,0,1,0,0,1,1,1,1,0,1,2,0,2,1,1,1,0,1,2,1,1,0,1,0,0,0,0,1,1,0,0,0,0,2,1,0,0,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,0,1,0,1,2,0,1,0,1,2,1,1,1,0,1,0,0,0,1,2,0,0,2,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0,1,0,1,2,0,1,0,0,0,0,0,2,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,2,1,0,0,0,2,1,1,0,0,1,1,0,0,0,2,1,0,2,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,2,0,0,1,0,0,0,1,0,0,0,1,1,1,0,0,1,1,0,2,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,2,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,2,1,0,0,0,1,0,0,1,0,1,0,1,0,1,1,0,2,1,2,0,0,0,1,2,0,0,0,0,0,0,0,1,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,0,0,0,1,0,0,2,1,1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,1,0,2,1,0,0,1,1,1,0,0,1,0,0,2,0,0,0,1,0,0,1,0,1,0,0,1,0,1,2,0,0,1,1,1,2,2,2,0,0,1,2,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0,2,0,1,1,2,0,0,0,1,0,1,0,0,2,0,1,0,1,0,2,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,2,1,1,1,0,0,2,0,0,1,1,0,1,0,0,1,0,0,1,1,2,0,0,0,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,2,2,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,2,1,1,1,0,2,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1 1,0,0,0,0,0,0,2,1,0,1,1,0,1,1,0,0,2,0,0,0,0,0,0,1,2,2,2,0,0,0,0,2,0,2,0,2,0,1,1,1,1,0,2,1,0,0,1,2,0,1,1,0,0,2,0,0,0,1,2,1,0,1,1,0,1,0,2,1,0,2,0,0,1,1,0,0,2,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,0,0,1,0,1,2,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,2,2,2,0,2,0,0,0,0,0,1,1,2,0,1,0,1,0,0,0,0,2,0,1,0,0,1,2,1,2,2,0,0,1,0,2,0,1,0,0,1,1,0,0,0,0,0,0,1,2,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,1,1,0,1,0,1,1,2,1,1,0,0,1,0,0,1,0,0,1,0,1,0,2,1,0,1,0,1,0,1,1,1,0,0,0,1,2,0,0,1,0,0,0,2,0,1,1,1,1,2,1,0,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0,2,0,1,1,0,2,0,1,0,1,0,0,2,0,0,0,0,0,1,0,1,1,1,0,2,0,1,0,2,1,0,1,2,0,0,0,0,1,1,2,0,1,1,0,0,0,0,2,2,0,0,0,2,2,0,2,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,1,0,0,0,1,0,1,0,0,0,1,0,1,1,0,2,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,2,1,1,2,2,1,1,1,1,0,0,0,0,1,2,1,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,1,0,0,2,0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,2,0,0,0,0,0,0,2,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,2,0,2,1,1,0,2,0,1,2,1,0,2,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,1,2,0,1,2,0,0,0,0,1,0,2,1,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,2,0,0,0,2,0,1,1,0,1,1,1,0,0,0,0,2,0,1,1,0,1,1,0,2,0,1,1,2,0,0,0,0,1,2,0,0,2,2,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,2,0,0,1,2,2,0,0,1,2,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,2,0,0,0,2,0,1,0,2,0,0,0,0,0,1,1,2,1,1,1,1,1,0,1,2,0,0,0,0,1,1,1,0,0,0,1,0,2,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,2,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0,2,0,0,0,0,1,2,1,1,0,1,1,0,0,0,1,2,1,0,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,2,1,1,1,1,2,1,1,2,1,1,1,0,1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,1,0,2,0,0,0,0,0,1,0,0,0,0,1,1,0,0,2,0,0,0,2,2,0,1,1,2,1,1,2,2,1,0,0,0,0,0,1,0,2,0,1,0,1,1,2,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,2,0,2,0,0,0,1,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,2,0,0,1,0,0,0,1,0,2,2,0,1,0,0,1,0,0,1,1,0,1,0,0,2,1,2,1,1,0,0,0,1,1,0,1,1,0,0,0,0,2,0,1,2,2,1,1 1,0,1,0,0,1,0,1,1,0,1,1,0,0,2,0,0,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,2,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,2,0,0,1,1,0,1,0,1,1,1,2,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,2,0,1,0,2,0,0,0,0,0,0,1,2,0,0,1,0,2,0,1,0,1,0,1,0,0,1,0,1,1,1,0,2,1,1,1,0,1,0,1,2,1,2,1,1,0,1,0,0,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,2,0,0,0,0,2,0,0,0,0,1,0,0,2,0,1,0,1,0,1,2,0,1,0,0,0,1,0,2,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,1,2,1,0,0,1,0,2,2,0,0,0,0,2,1,1,0,0,0,1,0,0,1,1,2,1,2,0,0,1,2,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,2,1,0,1,0,1,1,0,0,1,0,0,0,1,0,2,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,2,1,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,2,0,0,1,0,1,1,1,2,0,0,1,0,1,1,0,1,0,0,0,0,0,0,2,0,1,0,1,0,0,0,1,0,1,0,2,0,0,1,0,1,0,0,0,1,0,0,0,2,0,1,0,0,0,1,0,0,2,0,0,0,0,2,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,1,1,0,2,1,0,0,1,0,0,0,2,0,0,0,0,0,0,1,2,0,1,0,2,0,0,0,2,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,1,1,0,2,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,0,1,2,1,1,0,1,0,2,1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,1,0,1,2,0,0,2,0,1,0,1,1,0,0,1,0,0,2,2,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,2,0,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,1,2,0,1,2,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,1,2,0,0,1,0,1,1,1,0,1,0,2,2,2,1,1,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,2,1,1,1,1,0,2,1,1,0,0,1,0,0,2,0,1,1,0,1,0,0,2,1,1,0,0,0,2,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0,1,1,2,1,2,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,2,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,2,1,0,1,1,1,0,1,2,0,0,1,2,0,0,0,1,0,0,1,1,2,1,0,0,0,0,1,0,0,1,1,1,1,0,2,0,0,1,0,0,1,0,1,1,0,0,0,2,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,1,1,0,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,1,0,2,1,2,0,1 1,0,0,1,2,1,1,0,0,0,0,1,0,2,0,1,0,1,0,0,0,0,0,1,0,1,2,1,1,0,0,0,1,1,2,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,2,1,0,0,1,0,1,0,1,1,0,0,0,0,0,2,0,0,1,0,1,0,2,1,1,0,1,0,1,0,0,0,0,1,0,1,2,0,0,0,1,2,0,0,0,1,0,0,2,0,0,2,0,0,0,1,0,1,0,2,0,0,0,1,1,1,0,1,1,0,0,0,2,0,0,0,1,0,2,1,2,0,0,1,0,0,1,0,1,0,1,0,1,0,0,1,1,2,0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,2,1,1,0,0,1,0,0,2,0,2,1,0,2,0,1,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,2,1,0,1,0,0,0,1,1,1,0,1,0,0,2,0,0,1,0,1,1,0,1,2,0,1,1,0,0,0,0,0,0,0,1,0,1,1,2,0,1,2,0,0,0,1,1,1,0,1,0,2,1,0,0,2,1,0,0,2,0,0,1,1,0,1,0,1,1,0,0,0,0,2,1,1,0,1,0,1,2,0,2,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,2,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,2,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,2,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,2,0,1,0,1,1,0,0,2,1,2,0,0,0,2,0,0,0,0,0,0,0,0,1,2,2,1,0,2,0,0,1,0,1,0,0,1,0,0,0,1,2,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,1,0,1,2,2,1,0,0,1,0,0,2,2,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,1,2,0,0,1,2,0,0,0,0,1,1,0,1,2,0,0,0,0,0,1,2,2,1,1,0,0,0,1,1,1,1,0,0,0,0,2,1,0,0,0,0,0,1,1,0,2,0,0,0,1,1,1,0,1,0,0,0,2,0,1,1,0,1,0,0,2,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,2,1,0,1,0,1,0,0,0,1,0,0,0,1,1,2,0,0,0,1,1,1,1,0,0,2,1,2,0,0,0,1,1,0,1,0,0,1,1,0,2,1,0,1,0,0,0,1,1,0,2,0,1,1,1,0,2,0,0,2,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,2,1,0,2,0,1,0,1,0,0,0,1,0,1,0,0,0,1,2,1,0,0,1,0,1,0,0,0,1,0,0,1,2,2,2,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,1,1,1,2,1,2,0,0,1,1,0,0,2,0,0,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,2,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,2,0,0,0,0,1,0,2,1,0,0,2,0,0,1,0,1,2,2,1,0,1,1,1,1,1,0,1,0,0,0,1,2,1,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,0,0,2,0,1,2,0,1,0,1,2,0,0,0,1,2,0,1,1,0,0,1,1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,1,2,0,0,1,0,1,2,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,2,1,0,1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,2,1,1,2,1 1,1,2,1,0,0,1,0,1,2,1,0,0,1,0,0,0,0,0,0,0,1,2,0,2,2,2,2,0,1,0,0,1,0,0,0,0,0,0,0,2,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,2,2,1,0,0,0,1,1,1,1,0,0,1,0,0,1,2,0,2,0,0,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,1,0,1,0,0,0,1,0,2,0,1,0,1,1,1,0,0,0,1,0,1,1,0,2,0,0,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,2,0,0,2,0,0,0,0,1,0,0,0,0,1,0,2,1,0,0,1,0,0,0,0,0,0,1,0,2,1,0,1,0,0,0,0,2,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,2,0,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,2,0,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,2,0,0,1,0,1,0,0,1,0,0,2,1,1,0,0,0,1,2,1,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,2,1,1,0,0,1,0,1,1,0,0,1,0,0,2,2,0,0,0,2,0,1,0,0,1,0,2,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,1,2,0,0,1,0,0,0,0,0,1,2,2,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,2,0,0,1,0,1,2,1,1,1,1,1,0,1,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,2,0,1,0,2,1,2,2,1,0,0,0,0,1,1,0,1,0,0,0,2,0,0,1,0,2,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,2,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,0,1,2,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,2,0,0,1,0,1,0,0,0,1,1,1,0,1,0,2,0,0,0,1,1,0,0,2,1,0,1,1,1,1,0,1,1,0,0,0,2,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,1,0,2,1,1,1,0,1,1,0,1,0,1,1,1,2,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,1,0,2,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0,2,2,0,0,0,1,1,2,0,2,0,0,0,2,1,0,0,1,1,1,0,0,2,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,1,2,1,1,1,0,2,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,2,0,1,1,1,0,0,0,0,1,0,0,2,0,0,0,2,0,0,0,0,1,0,0,1,0,0,2,1,0,0,1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,2,2,1,0,1,0,0,1,0,1,1,1,0,0,0,2,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,1,2,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,2,0,0,0,1,0,1,1,0,0,0,0,2,1,0,1,0,0,0,0,0,0,2,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,2,0,0,0,0,1,0,1,1,1,0,0,0,0,2,0,0,1,0,1,1,1,2,0,1,0,0,0,2,1,1,2,0,0,0,0,0,0,0,2,1,0,0,1 1,1,1,0,0,0,1,0,2,1,2,2,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,1,1,0,0,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,2,0,0,1,0,1,1,1,0,1,1,0,0,0,0,1,2,1,0,1,1,1,0,2,0,0,0,0,0,0,0,2,0,2,2,0,1,1,0,1,0,0,2,0,1,0,0,2,0,0,0,0,1,1,0,1,1,0,1,0,1,1,1,1,0,0,1,1,1,1,0,2,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,2,0,0,1,0,1,0,2,0,0,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,2,1,1,0,1,0,2,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,2,1,0,0,0,1,0,1,2,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,2,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,2,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,1,1,2,0,0,0,2,0,1,0,0,1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,2,1,0,1,2,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,1,1,2,0,1,2,1,1,0,1,0,0,2,0,1,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,2,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,2,2,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,1,1,1,0,1,0,1,0,0,1,2,0,2,2,0,1,1,0,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,0,1,0,1,0,0,2,1,0,1,0,1,0,0,0,0,0,1,1,0,1,1,1,0,1,2,0,1,0,0,0,0,0,2,0,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0,1,2,1,0,0,0,0,0,1,2,0,0,2,0,0,0,1,1,2,0,0,1,1,0,1,1,1,0,0,0,0,2,1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,2,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,2,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,1,0,0,0,1,2,0,1,1,0,1,1,0,2,0,0,0,0,0,0,0,0,0,1,1,0,1,0,2,1,1,0,0,1,0,0,1,0,1,0,1,0,2,0,0,0,2,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,1,0,0,1,1,1,1,1,1,0,0,0,1,0,1,1,2,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,2,0,0,2,1,1,1,0,0,0,0,0,0,0,0,1,1,2,1,0,0,0,0,0,0,0,0,1,1,0,1,0,2,0,0,0,0,1,0,0,1,0,2,2,1,0,1,2,0,2,1,0,2,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,2,1,1,0,0,2,1,0,1,2,1,0,0,0,2,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,1,0,2,1,0,0,2,1,0,2,1,1,0,2,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,2,1,2,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,2,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,2,0,2,1,1,2,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,1,1,0,1 0,0,0,1,1,1,0,0,0,0,1,0,2,1,2,0,0,1,2,0,0,1,0,0,0,1,0,1,0,0,1,0,2,1,1,0,0,1,0,0,1,1,1,0,2,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,2,0,0,1,0,0,1,0,0,1,2,2,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,2,2,0,0,0,0,0,0,2,1,1,0,1,2,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,2,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,2,1,0,1,1,1,1,0,1,0,0,2,1,0,1,0,0,0,2,0,1,1,2,0,2,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,2,0,0,0,0,0,1,1,1,1,0,0,0,2,0,0,0,0,0,0,0,1,1,0,1,1,0,2,1,1,1,0,0,1,0,1,1,0,0,1,0,1,2,0,1,0,0,0,0,0,1,2,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,2,1,0,0,0,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,1,2,1,1,1,2,0,0,0,0,1,0,0,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,2,0,0,0,0,0,2,2,0,2,0,1,1,0,1,2,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,1,1,2,0,0,0,2,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0,2,0,1,0,0,0,0,2,0,1,0,0,0,1,1,1,1,0,1,1,0,1,2,0,0,1,1,0,1,1,0,0,1,2,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,2,1,1,1,1,1,1,2,0,0,1,1,0,1,0,0,2,0,0,2,2,1,0,2,0,0,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,2,0,1,0,2,1,0,2,1,1,0,1,0,1,2,1,0,2,0,0,1,1,0,2,1,0,0,0,0,0,1,1,1,1,1,0,1,0,0,1,0,0,2,0,0,0,1,0,0,1,0,1,0,0,2,1,0,0,1,0,0,1,1,0,0,0,2,1,1,0,1,1,1,0,1,1,0,1,2,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,1,1,1,1,1,1,2,2,0,0,0,1,1,1,1,1,0,0,1,0,2,0,1,1,1,1,1,0,0,0,2,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,2,0,0,0,1,2,1,1,1,0,1,1,0,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,1,1,0,0,2,1,0,0,0,0,2,1,1,0,0,1,0,0,1,1,0,1,0,0,2,0,0,2,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,1,1,0,0,0,2,0,1,2,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,2,0,0,1,0,2,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,1,0,0,0,1,1,1,0,0,1,1,0,0,1,1,1,1,2,0,0,1,1,0,0,0,1,2,0,1,0,0,1,0,2,1,0,0,0,2,0,0,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,2,0,0,1,0,1,1,1,1,1,1,2,0,0,0,1,1,0,1,0,2,1,0,0,1,0,0,0,0,0,0,1,1,0,0,1 0,1,2,1,0,0,0,0,0,1,1,1,1,1,2,1,1,2,0,0,0,0,0,0,1,0,2,1,1,0,0,0,1,0,1,0,0,2,0,0,1,2,0,1,1,1,0,2,1,1,2,0,1,0,0,1,0,1,0,2,0,0,0,0,0,0,0,1,0,2,1,0,1,1,1,1,1,2,0,0,0,0,0,2,1,1,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,2,0,1,0,0,0,1,0,1,2,1,2,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0,1,2,1,2,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,1,1,2,0,0,1,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,2,1,0,0,1,1,1,0,0,1,1,2,1,1,0,0,0,0,1,0,0,1,1,0,0,2,0,0,1,0,0,0,1,1,0,0,2,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,2,0,0,0,0,1,1,0,1,1,1,0,0,1,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,2,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,2,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,2,1,2,0,0,2,0,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,2,0,1,1,0,2,1,1,1,1,0,2,0,2,0,0,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,2,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,1,0,1,0,0,0,1,0,0,0,2,1,1,1,0,1,0,0,2,0,0,1,0,0,1,0,2,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,2,1,0,1,1,0,0,2,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,1,1,1,1,0,1,1,0,0,1,2,2,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,2,0,1,1,0,1,0,2,1,0,1,1,0,0,0,0,0,2,0,1,0,1,0,1,0,1,0,2,0,0,0,0,1,0,2,0,1,1,2,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,2,0,1,0,0,1,2,0,1,0,2,1,2,1,0,0,1,0,0,0,0,1,0,0,2,0,1,0,0,1,0,0,0,1,0,1,2,1,1,0,0,1,0,1,1,1,1,0,2,1,2,1,0,0,1,1,0,2,2,1,1,2,0,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0,1,2,0,1,0,1,0,0,0,1,1,1,1,0,0,1,0,2,0,0,0,0,0,1,0,0,2,0,0,0,1,0,1,1,1,2,2,1,0,1,1,0,1,1,2,1,0,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,2,2,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,2,1,0,0,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,1 1,0,2,1,1,0,1,0,2,1,0,2,0,2,1,0,0,0,1,0,0,0,1,0,1,0,2,0,0,1,1,0,2,1,0,0,1,0,0,0,2,1,1,2,0,1,0,1,2,0,1,0,0,0,0,0,2,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,0,2,0,1,0,0,1,0,0,1,1,0,0,2,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,2,0,2,0,0,0,0,0,1,1,0,0,0,2,0,0,1,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0,1,2,0,2,1,1,0,0,1,0,2,1,0,0,1,0,1,0,1,0,0,0,0,2,0,0,0,2,0,1,0,1,0,0,2,0,0,0,0,0,0,1,0,1,2,0,1,1,1,2,1,0,0,0,1,0,1,0,1,2,0,0,1,0,0,0,0,0,1,1,1,2,2,0,1,1,2,1,1,1,1,0,0,0,0,2,1,0,0,1,0,1,0,1,1,0,0,2,0,1,0,0,2,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,1,1,1,0,0,2,1,1,2,2,1,1,0,1,1,2,1,1,0,0,1,2,0,2,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,2,2,1,0,2,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,2,2,0,0,0,1,1,2,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,2,2,1,0,0,0,1,1,0,1,0,0,1,0,0,2,1,2,1,1,0,0,0,0,1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0,2,1,2,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,1,1,1,0,1,2,0,1,0,1,0,0,0,0,0,2,1,0,0,0,1,2,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,2,0,0,1,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,2,1,1,0,1,0,1,0,0,0,1,2,0,0,1,0,0,0,1,1,1,0,0,1,0,1,2,1,1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,2,2,0,1,1,0,1,0,2,0,0,0,1,2,0,2,0,1,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,1,2,2,1,1,1,0,1,0,0,2,1,1,0,0,0,2,0,0,2,0,0,0,2,0,0,1,1,0,2,0,0,0,0,1,1,0,2,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0,2,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,2,1,1,0,1,0,0,0,1,1,1,0,0,0,0,1,1,2,1,1,0,0,1,1,1,0,2,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,1,0,1,2,0,0,0,1,0,0,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,1,1,0,1,0,0,1,1,0,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,0,0,0,1,0,0,0,1,0,1,0,0,2,0,0,1,0,2,0,2,0,1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,2,1,0,0,1,0,2,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,1,1 1,0,0,2,0,0,0,2,1,0,2,2,0,1,0,0,0,1,0,0,0,1,0,1,0,1,1,2,1,1,0,0,2,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,1,1,0,1,0,0,1,0,2,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,2,0,1,1,1,1,0,0,1,1,1,1,2,0,0,0,0,2,1,2,1,1,0,1,0,0,0,0,2,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,1,1,2,0,0,0,0,2,1,0,0,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0,2,0,2,1,0,0,0,1,0,2,0,1,1,0,0,0,1,1,0,2,0,0,0,0,0,1,0,2,1,1,1,0,0,0,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,2,1,1,0,0,2,0,0,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,2,0,0,0,0,1,0,1,0,0,0,0,1,1,2,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,1,1,1,0,1,2,1,0,0,2,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,2,1,0,0,0,1,0,2,0,1,0,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,1,2,0,1,0,0,1,1,0,2,0,1,0,1,0,0,1,1,2,1,1,1,2,0,1,1,0,1,1,1,1,1,0,0,0,0,0,2,1,0,2,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0,1,1,2,0,0,1,0,1,2,0,0,0,0,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,2,1,0,1,0,1,1,0,1,0,1,2,0,0,0,1,1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,0,1,1,0,1,0,0,1,2,2,0,1,0,0,2,0,1,1,2,2,2,0,0,1,0,0,1,2,0,1,1,1,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,1,0,1,0,0,1,2,0,0,1,1,0,2,1,0,1,0,0,0,1,0,0,1,2,2,0,1,0,1,1,0,1,0,0,1,0,2,1,1,0,1,0,1,1,0,2,2,1,0,0,2,1,0,2,0,1,0,0,1,1,2,1,1,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,1,2,1,0,1,0,2,0,0,1,1,0,0,0,0,2,0,0,0,0,1,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,1,0,1,1,1,2,0,0,0,0,0,0,0,2,1,2,1,1,0,0,0,2,2,0,2,0,0,1,1,2,1,0,0,0,0,0,1,2,1,1,1,1,0,2,1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,1,0,1,0,2,1,1,0,1,1,0,1,0,2,0,0,2,1,0,1,0,0,1,1,1,0,2,1,0,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,2,0,0,0,2,1,0,0,0,0,0,0,1,2,2,1,0,0,1,0,0,0,0,0,1,0,1,2,0,1,1,0,0,0,0,0,0,1,0,2,0,0,1,0,1,1,1,1,1,1,0,0,0,1,1,2,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1 1,0,0,1,0,1,0,1,2,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,2,0,1,2,0,0,1,0,2,0,0,0,0,2,0,1,0,2,1,1,1,2,0,2,0,0,1,0,0,0,0,0,0,1,2,0,1,0,0,1,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,0,0,1,0,0,2,0,0,1,0,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,2,1,0,0,1,0,1,0,2,0,0,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,2,0,0,1,0,0,0,0,1,2,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,1,1,2,0,0,1,0,1,0,0,0,0,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0,0,2,2,0,1,1,0,1,2,0,1,1,0,0,0,0,2,1,1,1,0,0,1,0,2,0,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0,2,1,0,0,0,1,1,0,1,0,1,1,1,0,2,1,0,2,0,0,1,0,0,0,0,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,2,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,2,0,0,1,0,1,1,1,0,2,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,1,1,0,1,1,1,1,1,2,0,0,1,0,0,0,0,0,2,2,1,1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,1,2,1,1,0,2,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,1,1,0,2,0,1,0,1,0,0,0,1,0,2,0,1,0,1,0,1,0,1,0,0,1,0,1,2,2,1,2,0,1,0,2,1,0,1,0,1,0,0,1,2,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,2,0,1,0,0,2,1,0,1,1,0,0,0,2,1,0,2,2,0,0,2,0,0,0,0,0,0,2,1,0,2,1,0,0,0,1,0,0,2,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,2,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,2,0,0,0,2,0,1,1,0,1,0,0,0,1,1,0,0,1,0,0,0,2,0,2,1,1,0,1,2,2,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,2,1,1,0,2,0,1,0,0,1,0,0,0,0,2,0,1,1,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,2,1,0,1,0,0,1,0,0,1,2,0,2,0,1,1,1,1,0,0,1,0,0,0,0,2,1,0,0,1,0,0,2,0,2,1,0,1,0,0,0,0,1,0,2,0,0,2,1,1,1,1,0,1,1,2,1,0,1,2,0,1,1,2,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,2,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,2,1,0,0,0,1,1,0,1,0,2,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,2,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,1,0,0,2,0,0,1,0,1,1,0,1,0,0,0,2,2,0,0,0,0,0,1,1,1,1,1,0,0,0,1,1,0,1,0,2,1,2,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,2,1,0,0,1 0,0,2,0,0,0,0,1,0,1,2,0,0,1,2,0,0,0,0,0,0,0,1,1,1,1,0,1,0,2,1,0,1,0,1,0,2,2,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,2,0,0,0,0,1,1,1,1,0,2,1,0,0,0,0,0,0,1,0,1,0,1,2,0,0,0,0,0,0,1,1,0,0,0,0,1,1,2,0,2,0,0,1,0,0,0,0,1,1,1,0,0,2,0,1,0,0,0,0,1,0,0,2,1,0,0,1,1,0,0,0,1,2,1,1,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,0,1,0,2,1,0,1,0,0,0,2,0,0,1,2,0,1,0,1,1,0,2,0,1,0,2,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,2,0,0,1,1,0,0,0,0,0,2,1,0,1,1,0,0,0,0,0,1,0,1,0,0,2,0,0,1,1,0,2,0,0,0,0,0,2,1,0,1,0,1,1,0,0,1,0,0,1,2,1,0,0,1,0,0,0,0,1,0,1,1,0,1,2,0,0,0,0,1,0,2,0,0,2,1,0,0,1,2,1,0,0,0,1,0,0,0,0,0,0,1,1,2,0,0,1,0,0,0,1,0,1,1,0,2,2,0,1,2,2,1,1,1,0,0,0,2,1,0,0,0,0,0,0,0,1,0,1,0,1,0,2,2,0,0,1,0,1,0,2,0,0,0,0,0,1,2,0,0,0,0,0,0,1,0,0,2,2,0,0,2,0,2,0,1,1,2,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,1,1,0,1,1,1,2,1,0,1,0,1,0,0,1,1,0,1,1,0,2,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,2,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,1,0,2,0,0,0,1,0,1,1,0,1,2,0,2,2,1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,2,2,0,1,0,1,1,0,1,1,0,1,0,0,1,2,1,0,0,0,1,0,0,1,2,0,0,0,0,0,1,1,1,0,1,2,0,1,0,1,0,0,1,1,2,1,0,2,0,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,1,2,0,0,1,1,1,0,0,0,0,0,0,2,0,0,1,1,0,0,0,1,1,2,0,0,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,0,2,0,1,1,1,0,0,0,1,2,2,1,2,0,1,0,1,0,1,0,2,0,0,0,0,0,0,0,2,0,0,1,0,1,2,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,0,2,1,1,0,2,1,1,0,0,1,0,0,0,0,0,1,2,2,1,1,2,0,0,1,0,0,0,0,0,0,2,0,1,0,1,0,0,0,1,0,0,1,1,2,2,0,0,1,0,1,1,0,2,1,0,1,1,0,2,0,0,1,1,0,0,0,0,1,1,0,2,1,1,1,0,0,0,0,0,1,0,1,2,1,1,0,1,0,2,2,0,0,0,0,1,2,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1,2,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0,2,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,1,1,1,1,0,1,1,0,1,0,2,1,0,2,0,0,0,0,1,1,0,1,0,0,0,2,1,0,0,0,1,1,2,2,2,0,0,0,0,0,1,1,2,2,0,0,1,1,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,1,2,1,0,1 0,0,0,2,0,1,0,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,2,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,1,1,0,2,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,2,1,0,0,1,1,1,1,0,2,0,2,0,1,2,0,0,1,0,0,0,0,1,1,0,1,1,1,0,2,0,0,0,0,1,1,0,0,1,2,1,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,2,0,1,0,0,1,1,1,1,2,0,0,0,0,0,1,0,1,0,1,0,2,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,2,1,0,1,1,0,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,2,0,0,2,1,1,0,1,1,2,0,0,0,2,0,0,0,1,1,1,0,0,1,0,1,0,2,1,0,1,0,0,0,0,1,2,0,0,0,0,1,1,0,0,1,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,2,1,1,1,0,0,0,0,1,1,1,1,1,0,1,0,2,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,2,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,2,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,2,2,0,0,0,0,1,1,1,1,0,2,0,0,0,0,0,1,0,1,2,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,2,0,1,0,0,0,1,0,0,1,1,1,1,0,1,1,2,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,2,1,2,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,2,2,0,0,1,1,1,2,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,1,1,0,1,2,2,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,2,0,0,0,1,0,1,1,1,2,2,1,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,1,0,2,0,1,0,2,2,0,1,1,2,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0,2,1,0,2,0,1,0,2,0,0,2,0,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,1,1,0,1,0,2,1,1,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,2,0,2,1,0,1,1,0,1,1,0,0,0,0,1,1,1,2,1,2,1,1,0,0,1,0,2,1,1,2,2,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,1,0,0,2,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,2,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,2,1,1,0,0,0,0,0,1,0,1,2,1,1,0,0,2,0,0,1,0,1,1,0,0,0,1,0,0,0,2,0,1,0,0,2,0,1,0,0,1,1,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,1,0,1,1,1,0,1,2,0,1,0,2,1,0,0,0,1,1,0,0,0,0,1,2,2,1,1 2,0,2,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,2,0,2,0,0,0,1,1,1,2,0,1,1,2,1,2,0,0,0,2,0,0,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,2,0,1,2,2,0,0,0,1,0,0,0,0,1,1,1,0,1,2,0,2,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,1,2,1,1,2,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,2,0,0,1,0,0,0,2,1,0,0,0,0,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,2,0,1,1,1,0,2,0,0,0,1,1,0,1,0,0,0,1,0,1,2,0,0,0,2,1,0,1,0,0,2,0,0,0,0,1,0,1,0,0,0,1,2,1,1,1,2,0,0,1,0,0,0,0,1,0,1,0,2,0,1,0,0,1,0,1,0,0,1,0,0,2,1,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,1,2,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,1,0,1,2,2,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,1,2,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,2,1,0,0,1,1,1,0,1,2,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,2,1,0,0,1,0,0,2,0,0,0,0,1,0,0,0,2,0,1,2,0,0,1,1,0,1,1,0,0,0,0,1,2,0,0,0,1,0,0,1,0,2,0,1,0,0,0,0,2,2,0,0,0,0,1,1,0,0,0,1,0,0,2,0,1,0,0,0,1,1,1,0,1,2,0,1,1,1,0,1,1,1,2,0,0,0,2,0,0,2,2,1,0,1,0,0,1,1,2,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,2,2,1,0,1,0,1,1,0,1,0,0,0,2,1,0,1,1,1,0,2,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,2,1,0,0,0,0,0,0,1,2,1,0,1,0,1,0,1,0,0,0,0,2,0,1,1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,2,0,0,2,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,1,1,0,2,1,0,0,1,1,0,0,2,1,2,0,2,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,2,0,0,0,0,0,1,1,0,2,0,2,0,1,0,0,0,2,0,0,0,0,0,0,0,1,1,0,0,0,0,1,2,0,1,1,0,1,0,1,0,2,0,0,0,0,0,1,1,1,0,2,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,2,1,1,1,0,0,1,0,2,0,1,2,0,0,1,1,0,1,1,0,1,2,1,0,1,1,0,0,0,0,0,0,1,0,0,2,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,1,0,1,0,1,2,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,1,1,1,1,0,0,2,0,0,1,1,0,1,0,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,1,2,1,2,0,1,0,1,0,1,0,1,0,0,0,2,0,0,0,0,0,1 1,0,0,1,1,0,1,2,0,0,1,0,1,1,2,0,1,1,0,0,0,1,1,0,1,1,1,0,1,0,1,0,2,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,1,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,2,1,0,0,0,1,0,0,0,0,0,1,0,1,0,2,0,0,1,0,1,0,0,1,0,0,1,1,1,2,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,2,1,1,0,1,2,2,1,2,1,1,0,2,0,0,0,1,0,0,0,0,0,1,1,0,2,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,2,0,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,2,1,1,0,2,1,1,0,1,0,1,1,1,1,2,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,2,0,1,1,0,0,1,0,1,0,0,0,0,2,2,0,1,0,0,1,0,0,1,0,0,2,2,0,1,0,2,0,0,1,1,0,0,0,1,2,2,1,0,0,0,1,0,2,0,0,0,1,0,0,1,1,0,1,1,0,2,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,1,2,0,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,2,1,1,0,0,1,0,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,1,2,0,0,2,1,1,0,0,0,1,1,1,0,0,1,0,1,0,2,0,1,0,1,0,1,1,0,1,0,0,1,2,0,2,2,1,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,2,2,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,2,0,0,1,0,0,0,0,0,2,1,1,0,2,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,2,1,0,1,0,0,1,2,1,0,2,0,0,1,0,0,0,0,2,1,1,1,0,0,1,1,2,1,1,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0,2,0,0,0,1,1,0,0,1,1,2,1,1,0,0,1,2,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,1,0,1,0,1,2,1,0,1,1,0,0,2,2,2,0,1,1,1,0,0,1,0,0,1,0,0,0,0,1,1,1,0,1,0,1,0,2,0,1,0,0,0,1,0,0,1,1,2,0,0,0,1,1,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,1,0,2,1,0,0,1,0,1,1,1,1,0,0,1,1,1,1,0,0,0,2,2,0,1,0,0,0,1,1,0,2,0,1,2,1,2,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,1,1,1,2,0,1,0,0,0,1,1,1,0,0,1,0,1,0,2,0,1,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,2,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,2,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0,1,0,0,2,1,1,0,0,0,0,1,0,1,0,0,2,0,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,2,1,0,0,2,0,1,0,0,1,1 0,0,0,1,0,0,1,0,1,0,1,0,0,2,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0,1,0,2,0,1,1,0,0,0,0,0,1,1,1,0,0,2,0,2,1,0,0,1,0,0,1,0,0,1,2,0,0,2,0,1,1,1,1,0,0,0,1,0,0,1,0,2,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,1,2,0,2,1,0,0,1,0,2,2,0,0,1,0,2,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,2,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,2,1,1,2,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,1,1,0,1,1,0,0,2,1,0,1,1,1,0,0,2,0,0,1,0,0,0,0,0,2,0,0,0,1,0,1,0,0,0,0,1,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,0,0,1,0,0,2,2,0,1,0,0,0,1,1,0,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,2,0,0,0,0,1,0,1,0,1,1,0,1,2,0,1,0,0,0,1,1,0,0,0,0,2,1,1,0,0,1,1,1,1,2,1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,2,0,0,0,0,0,2,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,1,0,0,1,0,1,1,2,0,0,0,0,2,1,2,0,1,0,1,0,0,1,1,0,0,0,0,2,1,0,0,1,0,0,0,0,0,1,1,0,2,0,2,0,0,0,0,1,0,0,1,0,2,0,0,0,0,1,1,0,1,0,0,0,1,1,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,2,0,1,0,1,1,1,2,2,2,0,1,1,0,2,0,0,0,0,0,0,1,1,1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,1,2,0,0,0,1,1,0,0,0,2,0,0,0,1,1,1,1,1,1,1,2,0,1,0,1,1,0,0,1,1,0,1,0,1,1,1,1,0,0,0,0,1,1,2,1,0,0,1,1,0,0,0,0,0,1,1,1,0,1,0,1,0,0,1,2,0,1,1,0,0,0,0,2,1,1,0,2,0,1,0,0,0,2,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,2,1,2,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,2,0,0,0,0,1,1,0,2,1,0,0,0,0,0,1,0,1,1,0,0,0,2,2,0,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,2,0,2,2,1,1,0,1,1,0,2,0,1,1,1,0,1,1,0,0,0,0,0,1,0,2,0,2,2,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0,1,2,1,0,0,0,1,2,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,1,2,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1 1,0,1,1,0,0,0,1,1,1,1,1,1,2,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0,2,0,0,0,1,2,0,2,1,0,0,1,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,2,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,1,1,1,2,0,0,0,1,0,1,2,2,1,0,1,1,1,2,0,1,0,0,0,1,1,0,1,0,0,2,0,0,1,0,2,1,1,0,0,1,0,1,2,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,1,1,0,0,1,0,1,1,1,2,1,1,0,0,0,0,1,1,0,0,2,1,0,0,0,0,0,1,1,0,0,0,2,1,2,0,0,1,0,0,1,0,0,2,0,0,0,0,1,1,1,0,2,0,0,1,0,1,0,2,2,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,2,1,1,0,0,0,0,0,1,0,1,0,0,0,2,1,0,0,0,0,0,0,0,2,1,0,1,0,1,1,0,0,2,1,1,1,2,0,0,2,0,0,0,1,1,0,1,1,1,0,1,0,1,0,2,0,0,2,1,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,2,2,2,0,1,1,0,1,0,2,0,1,2,2,0,0,1,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0,1,2,1,0,0,0,0,0,1,1,1,1,1,0,2,1,0,0,0,0,1,1,0,1,0,1,0,0,0,2,1,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0,2,0,0,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,1,2,0,1,2,0,0,0,0,1,0,2,0,1,0,2,0,0,2,1,1,1,1,0,1,0,2,0,2,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,1,0,1,2,1,0,1,2,0,0,0,1,0,0,0,2,0,0,0,0,1,2,2,1,0,1,1,0,1,1,1,0,0,1,0,1,2,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,2,0,1,2,0,1,1,1,0,1,2,0,1,0,1,0,2,1,0,0,1,0,0,0,1,1,1,0,0,0,1,1,2,2,1,1,2,0,0,0,0,0,2,2,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,2,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,2,1,0,1,0,1,1,0,0,1,0,1,0,2,1,1,0,0,2,0,0,1,0,0,0,0,2,0,0,2,0,1,1,0,1,0,0,0,0,1,0,0,1,2,1,0,2,0,0,1,0,0,0,0,1,0,0,2,1,0,2,0,0,0,0,0,0,1,1,1,1,1,1,1,0,1,0,1,0,2,0,1,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,0,1,2,0,0,1,1,1,0,2,1,0,0,0,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,1,2,1,1,0,0,2,0,0,2,2,0,0,1,0,1,1,1,1,0,1,1,0,0,0,0,2,0,0,1,0,1,0,0,1,0,0,1,1,0,2,0,0,1,0,0,0,0,1,0,0,0,1,2,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,2,0,1,0,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,1,2,0,1,0,1,0,0,1,1,0,0,0,1,1,1,2,0,1,1,0,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1 2,0,0,2,1,0,1,2,0,2,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,2,0,1,0,0,1,2,0,0,0,0,0,0,1,1,0,2,0,0,0,0,2,1,0,1,1,1,0,0,2,1,1,2,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,2,1,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,2,0,1,0,2,0,1,0,0,2,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,2,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,2,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0,2,0,0,1,0,0,1,0,1,1,0,0,0,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0,2,0,1,0,1,1,1,1,0,2,0,2,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,1,1,1,0,1,1,0,2,2,2,1,1,1,0,0,1,0,1,1,0,0,0,0,1,2,0,0,0,1,0,1,1,1,0,0,1,0,1,1,2,1,1,1,0,1,0,0,0,0,0,2,0,0,2,1,1,1,2,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,2,0,0,1,0,2,0,1,0,1,2,0,0,1,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,2,2,1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,2,2,0,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,2,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,2,2,0,0,1,0,0,2,0,0,0,1,0,0,2,0,2,1,1,1,1,2,0,0,0,0,0,1,0,0,1,2,0,1,0,0,0,1,1,0,2,0,2,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,2,0,0,2,0,1,1,0,1,0,1,0,2,1,0,1,0,1,0,1,1,0,1,0,1,2,1,2,0,0,1,0,1,2,0,0,0,1,0,1,1,1,1,1,2,1,0,2,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,1,0,1,2,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,2,1,0,1,0,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,2,1,2,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,2,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0,2,1,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,2,1,0,0,1,0,0,2,0,1,1,2,1,0,0,1,1,0,1,2,2,1,1,1,1,0,0,0,2,1,0,1,1,1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,2,0,1,2,2,1,1,0,1,0,1,2,1,1,1,0,0,0,0,1,0,2,0,1,1,1,0,1,0,1,2,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,2,0,0,0,0,2,0,0,2,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,2,2,0,0,1,0,0,1,0,0,1,1,0,0,1,0,2,0,0,0,0,0,1,2,2,2,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1 1,0,1,0,0,0,0,1,1,1,0,1,0,2,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,1,2,0,1,1,0,0,1,0,0,0,1,0,1,2,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,1,2,1,0,0,1,0,1,0,0,0,0,2,1,1,1,0,0,1,2,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,2,0,2,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,1,1,1,1,0,1,0,0,0,0,1,1,2,1,2,2,0,0,0,2,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,1,2,0,0,0,0,0,0,0,0,1,2,0,1,1,1,0,0,1,1,0,0,0,0,0,1,0,1,2,0,0,0,1,0,0,0,1,2,2,1,0,1,1,1,1,1,2,2,0,1,2,1,0,0,0,0,0,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,2,0,0,1,0,0,0,2,0,1,0,2,0,0,0,0,1,0,0,0,0,2,0,2,0,0,0,1,0,2,0,0,0,0,0,1,1,0,0,1,1,1,1,2,0,0,0,0,0,1,1,0,0,0,0,2,0,2,0,2,0,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,1,2,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,2,1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,1,1,0,1,1,1,2,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,1,0,0,1,1,1,0,0,0,0,0,2,0,0,1,0,0,0,1,2,0,0,0,0,0,1,1,2,2,0,1,0,1,0,0,0,0,0,1,1,1,0,2,0,0,2,0,0,0,2,1,0,0,0,2,2,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,1,1,0,1,0,1,0,0,0,0,1,1,1,0,1,1,1,0,2,1,0,0,1,1,0,0,2,0,1,2,1,0,0,2,0,0,0,0,0,2,0,2,0,1,1,1,0,0,0,0,0,0,1,2,1,0,0,0,2,1,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,1,1,1,2,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,1,2,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,2,1,1,0,1,0,1,0,2,1,0,0,0,0,1,1,1,1,1,2,1,1,1,1,0,2,2,0,1,2,0,1,0,0,1,1,1,0,0,0,1,0,1,1,2,2,1,0,0,1,0,0,0,2,0,0,0,0,1,0,1,2,1,0,0,0,1,0,1,1,0,1,0,0,1,2,1,0,1,1,1,1,1,0,1,1,2,0,0,0,1,0,0,2,1,1,0,0,0,0,0,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,2,1,1,1,0,0,0,0,0,1,0,0,0,0,2,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,1,2,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,1,2,0,0,0,0,0,0,1,1,1,0,0,0,2,1,0,2,0,0,0,0,0,0,0,1,1,1,0,1 1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,2,0,2,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,2,1,0,0,0,0,2,0,0,1,1,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,1,2,1,2,0,0,1,1,0,0,2,0,0,0,0,0,2,0,2,1,0,0,0,0,1,1,0,0,0,2,2,0,1,1,2,0,0,1,0,0,1,0,1,1,0,0,1,1,0,2,0,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,2,0,2,0,2,0,0,1,1,0,0,0,1,1,1,2,0,0,0,1,1,0,0,0,0,1,0,0,1,0,2,1,2,1,0,1,0,0,0,2,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,2,0,2,0,1,0,2,0,1,1,1,0,0,1,0,2,0,1,0,0,1,1,2,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,1,2,1,2,0,0,1,0,1,1,0,1,0,2,0,0,0,0,1,0,0,0,1,1,0,1,1,0,1,1,1,2,1,0,1,1,0,0,1,0,1,1,2,1,1,1,1,1,1,1,0,0,0,1,0,1,2,1,0,1,0,0,0,0,1,1,1,0,0,1,1,0,0,0,2,1,2,1,1,0,0,0,0,1,0,1,1,0,0,2,0,1,0,0,1,0,1,2,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,1,2,1,1,0,0,1,2,0,0,0,1,0,1,0,0,1,0,1,2,0,1,0,1,0,0,0,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0,1,0,1,1,1,1,2,1,0,0,0,1,1,2,1,0,1,0,0,0,0,0,0,0,1,0,1,2,1,0,0,1,0,1,2,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,2,1,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,2,0,0,0,1,2,0,0,0,2,2,0,2,0,0,0,0,0,1,2,0,1,0,0,0,0,1,2,1,0,0,2,1,0,1,1,2,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,1,0,1,1,0,2,0,0,0,1,0,1,2,1,1,0,0,0,0,0,1,2,0,0,0,2,2,1,0,1,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,1,0,0,0,0,1,2,1,1,0,1,1,0,0,0,0,2,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,0,1,1,1,0,1,0,1,0,1,1,0,0,0,2,0,0,1,1,0,0,0,0,0,2,0,1,2,0,1,1,1,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,0,0,2,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,1,1,1,2,2,0,1,1,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,2,0,0,0,1,0,0,1,0,0,0,2,0,0,0,1,1,0,0,0,0,1,2,1,0,0,2,0,2,2,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,1,0,2,0,1,0,0,0,1,1,1,2,1,0,0,1,1,0,0,1,0,0,0,1,2,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,2,0,1,0,0,0,0,0,2,2,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0,2,0,0,0,0,2,0,1,1,1,0,0,0,0,2,0,0,0,0,1,1,0,0,2,0,0,2,0,1,1 0,0,0,1,1,1,0,0,0,1,1,0,1,2,0,0,1,1,0,0,0,0,2,0,1,1,2,2,2,1,2,0,2,0,1,0,1,1,0,1,0,2,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,0,1,1,0,1,0,1,2,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,2,1,1,0,1,0,0,0,1,0,1,1,0,0,1,1,0,1,1,0,2,0,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1,0,2,0,0,0,0,0,1,0,0,0,0,2,1,0,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,2,0,0,0,0,0,2,1,1,2,0,1,0,0,1,2,0,0,1,0,1,0,1,0,2,1,0,0,2,0,2,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,2,0,2,0,0,0,2,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,1,0,0,2,0,0,0,1,0,1,2,2,0,1,1,0,0,1,1,1,0,0,0,0,2,1,0,1,0,0,0,0,2,1,2,0,0,0,1,0,1,0,0,2,0,1,0,2,0,0,0,0,0,1,2,0,1,0,0,1,1,1,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,2,2,1,1,1,1,0,0,0,0,0,1,1,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,0,2,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,1,0,0,2,2,0,2,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,2,2,0,0,1,2,0,1,0,0,0,2,1,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,2,0,0,1,1,1,1,0,0,0,1,2,2,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,0,1,1,1,1,0,0,1,0,0,1,1,1,1,0,1,0,2,0,2,1,0,0,1,1,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,2,0,1,1,0,0,0,0,0,1,1,0,0,1,2,0,2,0,0,0,1,0,2,2,0,0,1,0,1,1,0,0,1,0,0,2,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0,1,0,2,0,1,0,2,1,0,0,0,0,1,2,0,0,1,1,1,1,0,0,1,0,1,2,1,0,0,1,0,1,1,2,0,2,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,2,0,1,2,0,0,2,0,1,2,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,2,0,0,2,0,1,0,1,0,0,1,0,0,1,1,1,0,2,1,0,0,0,0,0,1,2,1,1,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,2,0,1,2,0,0,0,0,1,0,2,1,0,0,0,1,0,1,1,0,1,2,1,1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,2,0,1,1,0,0,2,1,0,0,1,0,1,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,1,1,0,0,0,1,1,1,1,0,1,0,1,2,1,1,0,0,0,0,1,1,1,0,1,0,0,0,1,1,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1 0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,2,0,1,0,0,0,0,0,0,0,1,2,1,2,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,1,2,0,1,0,1,1,0,0,0,2,0,0,0,0,2,2,0,0,1,0,2,1,0,1,0,0,0,0,0,0,1,0,0,0,1,2,1,0,0,1,0,0,0,0,0,1,1,2,0,0,1,2,1,1,0,1,0,0,0,2,2,1,1,1,0,2,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,2,0,1,0,0,0,0,0,0,0,0,2,0,2,0,0,1,0,1,0,0,2,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,1,2,0,2,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,0,2,1,0,0,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,2,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,2,1,0,1,0,2,1,2,1,0,0,1,1,1,0,0,0,0,2,0,0,0,0,0,0,1,1,1,0,0,1,2,2,1,0,0,0,0,1,0,1,0,0,2,2,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,2,1,0,1,0,1,1,0,2,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,2,0,1,1,0,0,0,0,2,1,1,0,0,1,1,0,1,0,0,0,0,2,1,1,0,0,0,1,1,0,0,1,0,1,0,2,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,1,1,0,2,2,1,0,1,1,2,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,2,0,1,0,0,1,1,0,0,1,0,1,2,1,0,0,1,0,1,2,0,2,1,2,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,1,1,0,0,2,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,2,1,0,0,0,0,0,1,0,2,2,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,1,2,2,0,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,2,0,1,1,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,1,0,0,0,0,2,1,0,2,1,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,1,2,0,1,2,0,2,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,1,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,1,0,2,1,1,1,0,0,0,2,0,0,0,1,0,0,0,1,1,0,0,1,1,0,2,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,2,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,2,0,0,1,0,2,0,1,0,1,1,2,1,0,1,0,0,1,0,0,0,0,1,1,0,1,2,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,2,2,0,0,0,0,1,0,1,1,2,1,0,0,0,1,1,1,0,0,0,0,1,1,1,2,1,1,1,0,1,0,1,1,1,1,1,2,0,2,0,0,1,0,1,0,1,0,0,1,2,2,1,0,0,0,1,2,0,1,0,0,0,2,1,0,0,1,2,1,0,0,2,0,0,2,0,2,0,1,1,0,0,0,0,1,1,2,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,0,1,1,0,1,0,1,2,0,1,0,0,0,0,1,2,1,1,2,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1 0,0,1,1,1,1,0,2,1,1,2,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,2,1,0,1,0,1,1,1,0,0,2,0,0,0,1,0,1,1,0,0,0,2,0,2,1,1,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,2,1,1,1,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,2,1,1,1,1,1,1,0,0,0,1,1,0,0,1,0,1,1,2,0,1,1,2,1,0,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,2,0,1,1,0,0,0,0,1,0,1,1,0,0,0,2,0,0,2,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,1,0,1,1,0,2,2,0,0,0,1,1,0,0,1,0,1,0,1,1,2,1,0,2,1,1,0,0,1,0,2,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,1,0,1,2,0,1,0,1,0,1,2,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,2,1,0,0,2,1,0,1,1,0,0,1,1,1,1,1,0,0,0,2,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,2,0,0,0,1,1,1,0,0,1,2,1,0,0,0,1,1,0,2,0,1,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,2,1,0,0,0,1,0,0,2,0,1,1,1,0,0,0,0,1,1,1,0,0,0,0,2,0,2,0,2,1,0,0,0,2,1,0,0,0,0,1,0,2,2,2,0,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,1,0,2,0,0,0,1,1,0,1,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,1,0,1,2,2,0,0,0,0,1,2,0,1,0,0,1,0,1,0,1,1,2,0,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,2,0,1,0,0,0,0,1,0,0,0,2,0,2,0,0,1,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,1,1,1,0,0,0,1,0,1,1,2,0,1,0,0,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,2,2,0,0,1,0,0,0,1,0,0,1,2,0,1,0,0,2,1,0,0,0,0,1,1,1,1,2,0,1,1,0,1,1,0,0,0,0,0,0,1,1,1,1,0,2,2,0,2,0,0,2,0,0,0,0,0,0,2,0,0,0,0,1,1,1,0,1,1,0,1,2,1,1,0,0,0,0,0,0,0,1,1,1,1,2,1,0,1,0,1,1,1,1,2,1,1,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,2,1,0,0,0,0,0,1,2,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0,2,0,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,1,0,1,0,1,1,0,0,2,1,2,0,0,0,0,0,2,0,1,0,0,0,2,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,0,1,0,1,1,2,1,0,1,0,2,1,0,0,0,0,2,0,2,0,0,0,1,0,0,0,0,0,0,0,1 2,0,1,0,0,0,0,0,0,2,1,1,0,1,2,1,0,0,1,0,0,1,1,0,1,1,2,1,0,0,1,0,1,0,1,0,0,1,1,0,1,2,0,1,2,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,2,0,2,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,2,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,1,2,0,0,1,0,0,1,2,0,1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,2,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,2,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,2,1,1,1,1,1,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,2,0,1,2,1,1,1,2,0,0,1,0,0,1,2,1,2,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,0,1,2,0,0,1,1,0,2,1,1,1,0,0,2,1,0,0,0,2,0,0,1,1,2,1,0,0,1,0,0,1,0,0,0,1,0,1,2,0,0,2,0,0,1,1,0,0,1,0,0,1,0,0,2,1,0,1,2,1,1,0,1,1,2,2,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,2,0,0,2,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,2,0,0,1,0,0,0,0,0,1,2,0,0,0,1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,2,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,1,2,0,0,2,0,1,0,0,1,0,0,2,0,1,0,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,2,1,1,0,0,2,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,2,1,1,0,1,1,0,0,0,2,0,0,0,0,0,0,0,2,1,0,1,0,0,1,0,0,0,1,0,0,2,1,0,0,0,1,0,2,1,1,0,0,1,0,1,0,0,1,0,0,1,2,1,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,2,2,0,1,1,0,1,1,1,0,2,0,0,1,0,1,0,1,1,1,0,1,2,1,0,0,0,2,0,0,2,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,1,0,0,0,2,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,1,1,1,0,0,1,1,0,0,0,0,0,0,2,1,1,0,1,0,2,2,1,1,0,1,1,1,1,1,0,2,0,0,0,0,0,1,2,0,0,0,1,1,2,2,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,2,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,2,0,1,0,2,0,0,0,1,0,0,0,0,0,0,1,0,1,1,2,0,1,0,2,1,0,1,1,0,0,0,0,1,1,1,0,1,0,2,1,0,0,0,1,0,2,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,1,0,2,1,0,0,0,0,0,0,2,2,1,1,0,2,0,1,0,1,0,0,0,0,0,0,1,0,2,1,0,1,1 0,1,0,0,0,2,1,0,1,0,2,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1,1,2,0,2,0,1,0,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,2,2,0,1,0,0,2,0,2,1,2,0,0,0,0,0,1,0,2,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,1,0,0,1,2,2,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0,2,1,1,0,0,0,2,0,0,1,0,1,0,0,0,0,2,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,2,0,0,1,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,2,1,0,0,0,0,0,1,0,0,1,1,1,1,0,1,1,0,0,0,2,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0,1,1,2,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,1,1,1,2,0,0,0,2,0,1,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,1,1,1,2,1,0,0,1,0,0,2,0,1,1,0,0,0,0,0,1,1,1,0,1,0,0,2,0,2,0,1,0,0,0,0,0,0,0,0,0,2,1,0,1,1,1,1,1,2,0,0,1,1,1,2,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,1,1,1,1,1,0,0,2,0,1,0,0,0,0,0,1,0,1,0,1,1,2,0,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,2,1,0,1,2,0,0,2,0,2,0,1,0,2,1,0,0,0,1,1,0,1,0,0,0,0,0,0,2,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0,1,1,1,1,0,2,1,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,2,1,1,1,0,0,1,2,1,1,0,0,1,0,0,1,1,1,0,0,0,0,1,0,1,2,1,0,1,1,2,2,0,1,0,0,2,2,0,1,2,0,0,1,0,0,0,1,1,1,1,1,1,0,2,1,0,0,2,0,0,1,0,0,0,1,0,0,2,0,0,0,0,1,1,0,0,2,0,0,1,0,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,1,1,0,2,0,1,0,1,0,0,1,0,1,0,0,1,1,0,0,2,1,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,2,0,2,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,1,0,1,0,0,0,1,2,1,1,0,2,0,0,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,1,0,1,0,2,1,0,1,1,0,0,1,1,0,0,2,0,1,1,1,1,2,0,1,1,1,1,0,0,1,2,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,2,2,0,1,1,0,2,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,0,2,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,2,0,0,2,0,1,0,0,0,0,0,1,0,0,2,0,0,0,1,2,0,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1 0,0,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,2,0,0,0,0,1,0,1,1,1,0,1,0,1,0,0,0,2,0,1,0,2,0,2,1,0,2,2,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0,1,1,2,0,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,2,0,1,1,2,0,0,0,1,1,1,1,1,0,2,0,0,0,1,1,1,0,0,0,1,0,2,2,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,2,0,0,0,0,1,0,1,1,0,1,0,0,1,0,2,0,0,1,0,1,0,2,0,1,1,0,1,2,1,0,2,0,1,1,1,1,0,0,2,0,0,0,1,0,0,1,0,2,2,1,0,1,1,0,2,0,0,0,1,1,1,2,2,0,0,0,1,1,1,1,0,1,1,2,0,1,0,1,0,2,2,1,0,1,1,0,2,1,0,0,1,0,0,1,1,0,1,1,1,0,2,0,1,1,0,0,0,1,0,0,0,0,2,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,2,0,0,1,0,0,0,1,0,0,1,0,0,0,1,2,0,1,2,1,0,1,1,0,0,1,1,1,0,0,1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1,1,2,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,2,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,2,0,2,0,1,2,2,1,1,0,0,0,2,1,0,1,0,1,1,1,1,2,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,2,1,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,1,1,2,1,1,0,0,0,1,2,0,2,1,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,1,1,1,1,1,0,0,0,2,0,1,0,0,0,1,0,2,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,2,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,1,1,0,0,1,2,0,1,0,1,0,1,1,0,0,0,0,1,1,1,0,2,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,2,2,0,1,1,0,1,0,2,2,1,0,1,0,1,0,2,0,0,2,1,0,1,0,0,1,2,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,2,0,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,2,2,1,0,1,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0,2,0,0,1,1,0,1,1,1,0,1,1,2,0,0,0,1,0,1,0,2,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,2,0,2,0,0,0,0,0,0,2,0,0,0,0,1,1,1,0,0,1,0,0,2,1,1,0,0,0,2,1,0,2,1,2,1,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0,0,0,1,2,0,0,0,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,2,0,0,2,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,2,1,0,0,1 0,0,1,1,0,0,0,0,1,0,0,0,1,1,1,2,0,1,0,0,0,0,2,0,0,1,1,1,1,1,1,0,1,1,2,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0,1,1,1,0,1,1,2,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,1,2,0,0,0,2,1,2,0,2,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,2,0,0,2,1,1,1,0,0,0,1,0,0,2,1,0,0,1,1,0,0,0,0,1,1,0,0,0,2,1,2,0,0,0,0,1,0,1,0,2,0,0,0,0,1,0,1,0,2,1,0,1,0,1,0,1,2,1,0,0,0,1,0,0,1,1,0,1,2,1,0,2,0,0,0,0,0,0,0,2,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,2,1,2,1,0,0,1,0,0,1,0,0,0,0,1,1,2,1,0,1,1,0,0,1,1,0,0,1,2,1,1,2,1,2,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,2,0,0,0,0,2,0,0,0,0,2,0,1,0,0,0,0,1,2,1,0,0,1,1,0,0,0,0,2,1,1,0,2,0,0,0,0,1,1,0,1,0,0,1,0,1,1,0,2,0,0,0,1,2,1,0,0,0,0,0,1,1,2,1,0,1,2,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,1,1,0,2,0,0,1,1,2,1,1,2,1,0,0,0,0,1,2,0,1,1,0,0,2,0,0,0,1,1,0,0,1,0,0,2,2,0,1,0,0,1,2,0,1,0,1,0,0,0,0,1,2,1,0,0,0,0,0,1,2,0,1,1,1,1,0,0,0,1,0,1,0,0,1,2,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,1,0,2,0,0,0,1,2,1,1,1,1,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,1,1,1,1,0,0,2,1,0,0,1,1,0,2,1,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,2,0,2,1,0,1,1,0,1,1,2,0,0,1,0,0,2,0,0,1,0,0,1,0,0,1,0,0,0,0,0,2,1,0,1,1,0,0,0,0,1,1,2,0,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,2,0,0,0,1,0,1,1,0,2,1,0,1,0,2,1,1,2,2,1,0,0,0,0,1,0,1,0,0,2,1,0,0,0,0,1,0,2,0,1,0,0,1,2,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,2,1,0,0,0,0,1,1,1,1,0,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0,2,1,0,0,1,1,1,2,0,0,1,2,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,2,0,0,1,0,1,0,2,0,1,1,0,0,0,1,0,0,1,0,0,1,2,1,1,2,2,0,0,1,1,0,0,1,1,1,1,1,0,1,0,1,1,0,2,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,2,0,0,0,1,1,0,0,2,0,0,0,0,1,2,1,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0,2,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,1 0,0,0,2,0,0,1,0,0,0,2,1,0,1,1,0,0,2,0,0,0,0,1,0,1,1,1,1,1,1,0,0,1,2,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,1,1,0,1,1,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,1,2,2,0,0,1,0,0,1,1,1,0,0,2,0,0,1,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,1,1,0,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,2,1,0,1,0,1,0,0,0,2,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,1,1,2,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,2,1,1,0,0,2,2,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0,2,1,0,0,0,1,1,1,0,1,0,1,0,1,1,1,0,0,2,0,0,1,0,0,0,0,0,1,0,2,0,1,0,1,1,0,0,1,0,0,0,0,0,2,0,0,1,0,1,1,0,0,2,1,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,2,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,2,0,1,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,2,2,0,0,0,1,1,1,0,1,0,1,0,0,2,1,1,0,0,1,0,0,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,2,0,0,1,1,0,0,1,2,1,1,1,0,2,1,0,0,2,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0,2,0,0,0,0,1,0,2,0,1,0,0,1,0,0,2,1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,1,1,1,1,0,0,0,2,0,0,0,1,0,2,0,0,1,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,2,0,1,1,0,0,0,0,0,0,2,1,0,1,0,0,0,1,0,0,1,1,1,1,1,2,0,0,2,1,0,0,0,0,0,1,0,1,2,0,1,1,2,1,1,0,1,0,1,2,2,0,1,0,0,1,1,1,1,0,1,1,0,2,1,1,0,1,0,2,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0,1,1,2,0,0,2,0,0,1,1,0,0,1,0,0,2,1,0,1,0,1,1,1,1,0,0,0,1,0,2,0,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,1,1,1,2,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,2,1,1,1,0,2,0,0,0,2,0,0,0,1,2,1,0,0,1,0,0,0,1,0,1,2,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,2,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,2,0,0,1,0,0,2,0,1,0,1,0,0,1,0,1,1,2,2,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,2,2,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,2,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,2,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,2,0,0,0,1,0,2,1,0,2,0,0,1,2,1,0,1,0,0,0,1,1,0,2,0,0,0,0,0,1,2,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,1,0,1,1,0,0,0,0,0,0,1,2,0,2,0,0,1,1,1,2,0,0,1,0,0,0,0,0,0,1,0,0,1 1,0,2,1,1,0,0,1,0,2,1,0,0,2,0,0,0,1,0,0,0,0,0,0,1,0,0,2,1,1,2,0,1,0,2,0,1,2,1,0,1,1,1,1,0,0,0,0,0,1,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,2,1,1,1,0,1,1,0,0,0,2,0,0,0,0,1,1,1,1,1,0,1,1,1,0,2,0,0,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,2,1,1,0,1,1,2,0,1,1,0,0,0,0,0,0,1,0,2,0,1,0,0,1,0,1,0,1,0,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,2,0,0,1,0,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,2,1,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0,2,0,1,2,0,0,1,1,1,1,0,1,1,0,0,2,1,0,0,0,0,0,2,0,1,1,1,1,0,2,1,1,1,1,0,2,0,0,0,0,2,0,0,0,0,0,2,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,2,0,1,1,1,0,0,0,0,2,0,0,1,0,1,0,2,0,0,0,0,1,1,0,1,1,1,0,0,2,0,1,1,1,0,2,0,2,0,1,0,0,0,1,0,0,1,1,2,0,0,1,2,1,0,0,1,0,0,2,2,0,1,1,2,1,1,0,2,0,2,0,0,0,1,0,0,2,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,2,0,0,1,0,0,2,1,0,1,0,1,0,0,0,1,0,1,0,1,1,0,2,1,0,1,0,1,0,0,0,0,1,0,0,2,0,1,0,0,0,0,0,1,1,0,1,0,2,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,0,1,0,0,0,2,2,0,1,1,2,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,1,1,0,1,2,0,0,0,1,1,0,2,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,2,0,1,1,1,0,1,0,2,1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,2,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,2,0,1,0,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,1,1,0,2,0,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,1,0,1,0,1,0,2,2,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,2,1,0,0,1,0,1,0,1,0,0,0,1,0,0,0,2,0,0,0,0,2,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,2,0,1,1,0,1,0,1,0,2,0,0,0,2,0,0,1,2,1,0,1,1,1,1,1,1,0,1,0,2,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,2,0,0,1,0,0,1,0,0,0,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,1,0,1,1,1,0,0,0,2,1,0,2,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,2,0,0,0,2,1,1,0,0,2,1,0,0,0,0,0,1,1,2,0,0,2,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,2,0,2,1 0,0,0,0,2,0,0,1,0,1,1,2,2,2,1,0,0,0,0,0,0,0,0,0,1,1,2,2,0,2,0,0,0,0,1,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,2,0,0,0,1,0,0,0,1,0,1,1,1,0,2,0,0,1,1,0,0,0,0,2,0,1,0,2,0,1,0,2,2,1,0,0,1,1,0,0,0,0,0,0,1,2,1,0,1,0,2,0,0,0,1,1,2,0,2,2,2,2,1,1,0,0,0,0,2,2,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,2,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,1,2,1,0,1,0,1,1,1,0,0,0,2,0,0,1,0,2,0,0,0,0,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,2,0,2,1,0,0,0,1,1,0,1,0,2,0,2,0,0,1,0,1,0,2,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,2,1,1,2,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,2,1,2,0,0,0,1,2,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,1,1,0,2,2,0,0,0,0,2,1,1,0,1,0,0,0,2,1,1,0,1,0,1,1,0,2,1,1,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,1,2,1,0,2,1,0,1,0,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,2,1,2,2,1,1,1,0,1,1,2,1,0,1,1,0,0,1,0,2,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,2,1,0,0,0,1,0,2,2,1,1,1,1,0,1,0,0,1,1,0,0,1,1,1,0,2,0,0,1,2,0,1,0,1,0,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,2,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,2,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0,1,2,1,0,1,0,1,2,0,0,0,0,1,0,0,0,1,0,1,0,1,0,2,1,1,2,0,1,1,0,2,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0,2,1,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,1,1,1,1,0,1,2,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,2,1,1,0,0,0,1,0,0,0,0,1,0,2,1,0,2,0,1,1,0,1,1,0,0,1,0,0,0,2,0,1,1,0,1,1,2,0,1,0,2,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,1,0,0,1,2,2,0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,2,0,1,0,0,0,0,0,0,1,2,2,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,1,2,2,1,0,0,0,0,0,0,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,1,1,1,0,2,1,1,1,0,1,0,1,1,2,2,0,0,0,1,0,0,1,1,2,0,0,0,1,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,2,2,0,0,1,1,1,2,0,2,0,0,1,0,0,0,2,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,1,1 2,0,0,1,1,0,1,1,1,1,2,0,0,0,1,1,0,1,1,0,0,2,2,1,1,1,1,2,1,1,1,0,1,0,0,0,2,2,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,2,2,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,2,2,0,2,1,0,0,0,1,1,0,0,0,2,2,0,0,2,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,2,0,0,1,2,1,0,1,0,0,1,1,0,1,0,0,0,2,1,1,0,1,2,0,1,0,0,1,0,2,2,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0,2,0,0,0,0,1,0,1,0,1,1,2,1,0,0,0,0,0,0,0,2,1,1,0,1,1,0,0,1,0,2,0,0,0,1,2,0,1,1,1,0,1,2,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,2,0,0,0,2,0,1,1,0,0,1,0,2,1,2,1,1,1,0,0,0,0,2,1,0,0,0,2,1,1,1,1,0,0,0,0,1,1,0,1,0,2,1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0,0,2,0,1,0,0,2,0,0,1,0,1,1,0,0,1,2,0,1,1,1,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,1,2,1,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,2,1,2,2,1,1,0,0,2,1,0,2,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,1,0,2,1,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,2,0,1,0,0,0,2,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,1,2,0,1,0,0,1,0,1,0,0,0,1,0,2,0,0,1,1,2,0,1,0,1,0,0,0,1,1,0,1,2,0,1,0,0,1,1,2,1,0,1,0,0,1,1,1,1,0,2,1,0,2,2,0,0,0,0,2,0,2,0,0,2,2,1,0,1,1,1,0,1,0,0,1,2,1,0,0,0,0,0,1,1,0,2,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,2,0,0,2,0,0,0,0,2,1,0,1,1,0,0,1,0,1,0,1,1,1,0,2,0,1,0,2,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0,1,0,0,0,2,0,2,0,2,0,0,0,0,0,1,0,0,2,1,0,0,0,1,0,1,0,0,0,0,1,1,2,1,0,0,0,1,2,2,1,0,2,0,1,0,1,0,2,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,0,2,2,0,0,0,2,0,1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,2,2,0,0,0,0,2,1,1,2,0,1,1,1,1,0,0,2,0,2,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,1,0,2,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,2,1,0,0,1,1,0,0,2,0,1,1,0,1,2,1,0,0,0,0,0,0,1,1,0,1,0,1,2,0,0,0,0,0,1,0,1,1,0,2,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,1,2,0,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1 0,0,0,1,0,0,0,1,0,0,0,1,0,2,1,0,0,1,1,0,0,0,2,0,2,0,0,2,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,0,1,0,0,2,0,1,0,0,0,0,1,0,1,1,1,2,0,0,0,0,0,1,0,1,2,0,1,0,0,2,0,0,0,2,0,1,0,0,0,1,0,0,1,0,1,0,1,2,0,1,0,1,2,0,2,0,1,1,0,2,2,2,0,1,0,0,1,0,0,2,1,0,0,0,1,0,0,1,1,1,0,0,0,1,2,1,2,1,0,2,0,0,0,0,2,0,0,0,0,1,2,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,1,1,0,0,0,1,0,2,2,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,1,1,2,0,0,0,2,2,0,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,2,1,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,2,1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,2,0,0,0,0,1,0,0,0,0,2,0,2,0,0,2,0,0,1,1,0,0,0,0,1,2,0,1,2,0,1,0,0,1,0,0,1,1,1,1,0,1,2,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,2,0,0,1,2,0,0,2,1,0,0,0,1,0,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0,1,2,0,0,0,0,0,1,1,0,0,1,2,1,2,1,1,0,0,0,2,0,0,1,1,1,2,0,1,0,2,0,1,0,0,1,0,0,1,0,1,0,1,0,2,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,2,0,1,0,1,0,2,0,0,0,1,2,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,2,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,2,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,2,2,0,0,1,1,0,2,0,1,2,1,0,1,1,1,1,1,0,0,2,1,0,1,0,0,1,0,0,2,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,1,2,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,1,1,1,0,2,2,1,1,1,0,0,0,0,1,2,2,0,1,1,1,1,0,2,1,1,0,0,0,0,1,2,1,0,1,1,1,0,1,2,0,1,1,1,0,0,2,0,1,1,0,2,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,2,0,1,1,1,0,1,0,0,1,0,1,0,1,0,2,1,1,0,2,0,1,1,0,2,0,1,0,1,0,2,1,1,1,0,1,0,0,0,0,0,0,0,0,2,0,1,1,0,1,0,0,0,1,0,2,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,2,2,0,2,1,1,1,0,0,0,1,1,2,1,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,2,0,0,0,2,0,1,2,1,0,0,0,1,0,2,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,2,0,0,0,1,1,0,1,0,0,2,2,0,1,0,1,0,0,0,0,0,0,0,0,2,1,1,1,0,1,0,0,1,1,1,0,0,0,2,2,1,0,0,0,0,0,0,2,1,1,1,0,1,0,0,1,0,2,1,0,2,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,2,1,1,0,0,1,1,1,1,1,2,0,1,0,2,1,1,0,0,1,0,0,1,0,0,1,1,0,1,1 1,0,2,1,2,0,0,1,0,1,1,1,0,1,1,1,0,1,1,0,1,1,0,0,2,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,2,1,0,2,0,0,0,1,0,0,1,0,0,0,0,0,2,0,1,1,0,0,1,1,1,2,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,2,0,0,2,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,2,2,0,0,0,2,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1,1,1,0,0,1,0,2,0,1,1,0,1,0,0,2,0,0,0,0,2,0,1,0,1,0,1,1,1,0,1,2,0,0,1,0,0,0,0,0,1,1,0,2,1,2,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,2,0,0,1,1,1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,1,0,2,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,2,0,1,2,0,0,0,0,0,0,1,1,1,0,1,1,1,2,1,0,1,0,1,0,0,1,1,0,0,1,2,0,1,0,1,0,0,0,1,0,0,0,0,1,2,1,0,0,0,0,2,0,1,0,0,1,1,0,0,1,0,2,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,0,0,0,1,0,1,2,0,0,0,1,0,0,0,1,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,1,1,2,1,1,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,2,1,1,1,0,0,1,1,0,2,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,1,0,1,0,0,0,2,0,1,1,2,1,1,0,1,0,0,1,2,0,0,1,0,0,1,1,1,0,1,0,2,0,2,1,0,1,0,0,1,1,0,1,1,1,2,1,0,1,1,0,0,0,0,1,2,0,1,0,0,2,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,2,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,2,0,2,2,0,0,1,0,0,0,2,1,0,2,1,1,0,1,1,2,0,0,1,1,0,0,1,0,0,2,2,0,0,0,1,1,0,2,0,1,0,1,0,1,2,0,1,0,0,2,1,1,1,0,0,0,1,0,0,1,0,0,1,1,1,0,2,1,1,0,0,0,0,0,1,0,2,1,0,0,0,0,1,0,2,0,0,0,2,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,2,1,0,2,0,0,1,0,0,2,0,1,2,0,1,2,0,0,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,2,1,0,0,2,2,2,0,0,0,0,1,0,2,1,1,1,0,1,1,0,0,0,1,0,2,0,1,1,0,1,0,1,1,2,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,1,0,0,0,0,1,0,2,0,0,0,1,2,0,0,1,0,1,0,2,0,1,1,1,0,1,0,0,0,0,2,1,1,0,0,1,1,1,1,0,2,0,1,0,0,1,0,1,1,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,2,0,1,1,0,0,1,2,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,2,1,2,0,0,0,2,1,1,2,0,0,0,0,0,1,0,1,0,0,1,1 2,0,1,1,0,0,1,1,0,1,2,2,0,1,0,0,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,1,0,2,0,0,0,1,0,1,1,0,0,1,0,0,0,2,0,1,1,0,0,0,0,1,2,1,1,1,0,0,0,0,0,0,2,0,1,1,0,1,2,2,0,1,1,0,0,0,0,0,2,0,1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,2,1,1,0,0,0,1,1,0,1,0,0,0,2,0,2,0,0,1,1,0,0,0,1,1,1,0,2,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,2,1,0,0,0,0,1,0,0,0,1,1,1,2,0,1,1,0,0,0,1,0,1,1,0,1,1,1,1,0,1,2,0,0,0,0,1,1,0,0,0,0,0,2,0,1,2,1,0,1,1,1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,1,1,0,1,1,1,2,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,1,0,1,0,1,1,0,0,2,1,0,0,0,0,0,2,1,0,1,0,0,1,2,0,2,0,0,0,1,0,1,2,0,0,0,1,2,0,0,0,0,0,1,2,0,1,1,1,0,1,1,0,2,0,2,0,2,1,1,0,2,1,1,1,0,2,0,1,1,1,1,1,2,1,0,0,1,0,1,1,0,0,0,1,0,2,0,0,1,0,0,2,0,0,0,0,2,0,2,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,1,0,2,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,2,0,1,0,0,0,2,1,1,1,1,2,1,0,2,1,0,0,0,1,2,0,1,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,2,1,0,2,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,2,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,2,0,1,0,0,0,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0,2,0,1,0,0,1,0,0,2,0,0,0,0,0,0,2,0,0,0,1,0,0,1,2,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,2,1,1,1,1,1,2,0,1,0,0,1,1,0,2,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,2,2,1,0,1,0,0,0,1,0,0,0,1,1,0,1,1,0,0,2,1,0,0,1,0,0,0,0,1,0,0,2,0,2,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,1,1,0,2,0,1,0,0,2,1,1,2,0,0,1,0,0,0,0,1,0,1,2,0,1,0,0,1,2,2,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,1,0,2,0,0,2,0,2,1,1,0,0,0,0,1,0,0,1,0,1,0,0,2,0,0,1,0,0,1,0,0,2,0,1,1,0,2,0,0,0,0,0,0,0,0,2,0,0,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,2,0,0,0,1,1,0,0,1,0,2,2,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,1,1,0,1,2,0,0,0,0,2,1,0,0,1,1,0,0,0,2,0,0,1,1,0,0,1,0,0,0,2,0,1,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,2,2,1,1,0,0,0,2,0,1,1,1,0,0,0,1,1,1,0,0,1,2,0,0,1,0,0,0,0,0,1,2,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,1,2,2,0,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,1 0,0,0,1,1,0,0,0,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,2,0,0,0,1,0,0,1,1,0,0,1,0,2,1,0,2,0,0,2,0,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,2,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,0,1,0,1,1,0,2,0,0,0,0,2,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,2,0,1,0,1,1,1,2,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,1,2,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,2,1,0,0,0,1,2,1,1,1,0,0,0,1,0,2,1,0,2,0,0,0,1,1,0,1,2,1,0,0,0,2,0,1,0,0,0,1,0,1,0,1,1,0,1,1,1,1,1,1,2,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,2,0,0,1,2,1,0,1,1,0,0,0,0,2,1,1,0,0,0,2,0,0,2,1,0,0,1,2,2,0,0,0,2,0,0,0,0,0,1,0,2,0,2,1,1,0,0,0,0,1,0,2,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,2,1,2,1,0,1,0,0,2,0,1,1,2,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,2,0,0,0,2,0,0,0,0,2,0,2,1,0,1,0,0,0,1,2,0,0,0,0,2,1,0,0,0,0,1,0,0,1,2,0,2,1,0,0,1,0,1,0,0,1,0,0,0,0,0,2,0,2,0,0,1,1,0,0,2,0,0,2,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,2,0,1,0,0,0,0,1,0,1,1,0,0,0,2,2,1,1,0,1,0,0,2,0,1,1,0,0,2,0,0,1,1,1,0,1,0,2,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,2,0,1,1,0,2,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,2,2,2,0,0,1,2,0,0,1,0,0,0,1,2,1,1,1,2,0,0,1,1,1,2,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,1,0,2,1,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,2,0,1,0,2,0,1,1,0,1,0,0,0,2,1,0,0,0,2,1,0,0,0,0,2,0,1,0,0,1,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,0,2,0,0,1,1,0,2,1,2,1,1,2,0,0,0,0,0,1,1,1,0,2,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,1,0,1,0,0,1,0,1,2,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,2,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,1,1,0,0,1,2,0,0,0,1,0,1,2,2,0,0,1,0,2,2,0,0,2,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,1,0,2,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,2,0,0,0,1,1,0,0,1,1,0,1,0,0,0,1,0,1,1,1,0,1 0,0,2,1,0,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,2,0,0,1,0,2,2,1,0,1,1,1,0,1,1,2,0,0,0,0,1,1,0,0,1,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,1,1,0,1,0,1,0,1,1,1,2,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,2,1,0,0,0,0,2,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,2,2,0,2,0,1,1,0,0,0,0,0,1,1,0,0,0,2,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,2,1,1,1,0,1,0,0,0,1,1,0,2,1,0,1,0,1,0,0,0,0,1,2,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,2,2,2,0,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,2,0,1,0,1,0,1,0,0,2,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,2,2,1,0,0,0,0,0,0,1,1,0,0,1,0,1,0,2,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,1,0,1,1,0,1,1,0,0,1,2,0,0,0,0,1,1,1,1,0,2,0,1,0,0,0,0,0,0,1,0,1,0,0,2,0,0,1,1,0,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,1,0,0,2,2,2,0,1,0,1,2,2,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,1,0,2,1,1,0,0,1,1,0,0,1,1,0,2,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,2,0,1,1,1,1,1,1,0,1,2,0,1,2,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,2,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,1,1,1,0,2,0,0,0,1,2,0,1,0,0,0,2,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,0,2,0,0,1,1,0,1,0,1,0,2,0,1,1,1,0,0,0,0,0,2,0,2,0,0,0,0,0,0,2,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,2,0,0,0,1,2,2,0,1,2,0,0,0,0,0,1,0,0,2,0,0,2,1,2,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,2,2,0,0,2,1,0,0,0,0,0,0,1,0,0,0,1,1,1,1,1,1,0,1,2,0,1,1,1,0,1,0,0,1,0,2,1,1,1,0,0,1,0,0,1,0,0,1,2,1,0,2,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,2,0,1,1,2,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,1,0,1,0,0,0,0,0,2,0,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0,1,2,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,2,1,0,2,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,2,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,2,1,1,2,0,1,0,0,1,1,0,0,1,0,0,2,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,2,1,0,0,1,0,1,0,0,0,2,1,1,1,2,1,0,0,1,1,0,0,0,1,1,1,0,0,2,0,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,2,0,1,0,0,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,2,2,1,2,0,1,2,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1 1,0,1,1,1,0,1,1,1,1,2,1,0,1,0,1,0,1,0,0,1,1,1,1,0,2,2,2,1,0,1,0,0,1,1,0,0,0,1,0,2,1,2,0,1,0,0,2,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,1,1,0,2,0,0,0,1,0,0,2,0,0,0,0,0,0,1,1,2,0,1,1,1,0,1,0,0,2,0,0,0,1,1,1,0,1,1,2,0,0,1,0,0,0,0,1,0,2,0,0,2,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,2,1,0,0,2,0,0,0,1,0,0,0,2,0,2,0,1,1,0,0,0,0,0,1,0,2,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1,0,2,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,2,0,0,0,0,0,0,0,2,0,2,2,2,0,2,1,1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,2,1,1,0,1,1,0,0,2,0,0,0,2,0,0,0,2,1,1,0,0,1,0,0,1,0,1,2,0,0,0,2,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,2,0,1,1,0,0,0,1,0,1,2,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,1,1,0,0,2,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,1,2,1,0,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0,2,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,2,1,1,0,0,0,1,0,2,0,0,0,2,2,0,2,0,0,0,0,1,0,1,0,0,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,2,0,1,0,2,0,1,1,1,2,1,1,0,0,0,0,1,0,0,1,2,0,0,1,0,0,2,0,0,0,1,0,0,0,1,2,0,0,0,0,1,0,0,1,0,1,1,1,1,1,1,2,0,1,0,0,0,0,2,0,2,1,1,0,0,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,2,1,0,2,0,0,0,0,2,0,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,2,1,1,0,2,1,0,0,1,0,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,2,1,1,1,1,1,1,0,1,0,0,0,1,0,0,2,1,2,0,0,0,1,2,0,1,2,1,1,0,0,1,2,0,1,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,1,0,0,2,0,1,0,1,1,2,1,1,1,2,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,2,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,1,1,1,0,0,2,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,2,0,1,2,0,0,1,0,1,1,2,1,0,0,1,0,1,1,1,0,0,1,1,1,0,1,1,1,2,2,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,0,2,0,1,0,1,1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,2,0,1,0,0,1,0,2,1,0,0,0,1,0,2,0,2,0,0,1,0,1,1,2,0,1,0,1,0,1,2,2,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,2,0,0,1 2,0,1,2,1,0,0,0,2,0,1,1,0,0,0,0,1,1,1,0,0,1,0,0,2,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,2,0,0,2,2,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,2,0,0,1,0,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,2,0,1,0,0,1,1,1,0,0,1,1,2,1,2,0,1,0,0,0,2,0,1,0,0,0,0,0,1,1,1,1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,1,2,0,0,0,1,1,0,0,2,0,1,0,0,1,0,0,1,1,0,0,1,0,2,2,1,1,2,0,0,0,0,0,0,0,0,1,1,0,2,0,0,1,0,0,2,0,1,1,1,0,2,0,1,0,1,2,0,0,0,0,0,1,1,0,0,0,0,2,0,1,0,0,0,0,1,0,2,0,1,0,0,0,1,0,1,2,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,1,2,2,0,0,1,0,1,1,0,0,2,1,0,1,1,0,0,2,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,1,2,0,0,2,0,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,2,0,1,0,1,1,0,0,1,0,0,1,2,0,0,0,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,2,1,0,2,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,2,0,1,1,1,0,1,0,0,0,1,1,1,0,2,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,1,1,1,0,2,0,0,2,1,0,1,0,0,1,1,2,1,1,1,0,0,0,0,1,0,1,2,0,0,0,0,0,0,2,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,2,1,0,2,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,2,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,2,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,2,0,0,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,1,2,0,0,0,0,1,1,2,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,2,0,1,1,0,1,0,0,1,0,2,0,1,1,0,0,1,0,0,0,0,2,2,0,0,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,2,1,0,0,0,0,0,0,0,2,0,0,1,1,2,1,1,1,1,0,0,0,0,1,0,2,1,0,0,0,0,0,1,0,1,1,1,2,1,0,1,0,0,0,1,0,0,0,1,2,1,1,1,0,2,1,0,1,0,0,0,2,0,1,0,0,2,0,0,0,1,1,1,0,1,0,2,1,0,0,0,0,0,0,0,2,0,0,1,2,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,2,0,1,1,2,2,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,2,0,1,0,1,0,1,0,1,0,2,1,0,2,0,0,0,1,0,1,0,0,1,0,0,2,0,0,1,2,0,0,1,0,0,0,1,1,0,0,1,2,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,2,2,0,1,1 1,0,0,0,1,0,1,0,1,1,2,0,0,2,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,1,1,0,2,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,2,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,2,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,2,0,1,1,0,1,2,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,2,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,2,2,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,0,0,1,2,1,1,0,0,0,1,1,0,0,1,1,2,1,1,0,1,0,1,1,0,0,2,1,1,0,1,0,1,1,0,1,0,2,1,0,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,2,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0,2,0,1,0,0,0,0,0,2,2,2,1,2,0,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,1,1,1,0,1,0,0,2,1,2,0,0,1,0,1,0,0,1,1,1,0,2,1,0,1,1,0,1,2,0,0,1,0,1,2,2,1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,1,1,2,0,0,1,1,1,0,0,0,1,1,1,0,0,0,2,1,1,2,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,2,1,2,1,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,2,1,1,0,0,1,0,0,0,0,1,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,1,2,2,0,0,0,1,1,0,0,2,0,1,1,2,1,2,0,2,1,1,1,1,0,0,0,0,1,0,2,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,2,0,1,1,0,1,0,0,0,0,2,0,0,1,1,0,1,1,0,1,0,1,1,1,0,2,1,0,0,0,1,0,1,1,1,1,1,1,1,1,1,0,0,1,0,1,1,1,0,2,2,0,0,1,1,1,0,2,1,0,1,2,1,2,1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,1,1,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,1,2,1,2,0,0,0,0,0,0,2,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,1,2,0,1,1,0,0,1,1,0,1,0,1,2,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,1,1,1,1,0,1,2,1,1,0,1,1,2,0,1,2,1,1,2,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,1,2,0,0,1,0,1,0,0,2,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,2,1,1,2,0,0,0,2,2,0,1,1,1,0,0,0,2,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,2,0,1,0,0,1,2,0,0,2,0,1,1,0,1,0,1,1,0,1,1,1,1,0,2,0,0,2,1,0,1,0,0,1,0,0,2,1,0,0,0,2,0,0,1,1,2,0,0,0,0,1,1,0,0,0,1 2,0,1,1,2,0,0,1,1,1,1,0,0,1,2,0,0,0,0,0,0,0,0,0,2,0,0,0,1,2,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,1,1,0,1,1,1,1,0,0,1,1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,2,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,2,0,0,2,2,0,1,0,0,1,0,1,1,0,1,1,2,1,1,0,0,1,1,2,0,0,1,0,0,1,2,0,0,0,1,0,0,0,1,2,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,1,1,2,2,0,0,0,1,1,2,1,0,0,0,2,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,1,1,0,1,0,0,0,0,1,1,2,0,0,1,1,1,0,2,0,1,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,2,1,0,1,1,2,0,1,2,1,2,0,0,1,0,0,0,0,0,0,1,2,1,1,0,2,0,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,1,0,2,1,2,1,1,1,0,0,1,2,1,1,0,2,0,0,1,2,0,1,0,1,1,0,0,2,0,1,2,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,2,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,0,1,0,1,0,2,1,0,0,0,0,2,0,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,2,1,1,0,1,2,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,1,1,2,0,0,0,1,1,1,2,0,2,1,0,1,0,0,2,0,1,0,1,0,0,2,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,2,1,1,0,1,1,0,0,0,0,0,1,2,0,0,0,1,0,0,1,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,2,2,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,2,0,0,1,1,2,1,0,1,0,1,1,2,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,2,0,0,0,0,1,0,0,1,1,1,2,1,1,1,1,0,2,0,0,0,2,0,0,1,1,0,1,2,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,1,0,0,0,1,0,1,0,0,2,2,0,1,1,0,2,0,0,0,1,0,2,1,0,1,0,1,0,1,1,0,0,1,2,1,1,2,0,0,2,0,1,0,0,0,0,2,1,2,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,2,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,0,2,0,0,2,2,0,0,2,0,1,1,1,0,0,0,0,0,0,2,0,2,0,0,0,2,0,0,1,0,0,2,1,2,2,2,1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,1,2,0,0,1,0,0,0,0,1,2,0,0,0,0,0,1,0,1,0,0,0,1,0,0,2,0,0,1,0,0,1,0,0,1,1,2,0,0,0,0,2,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,1,0,1,1 0,0,0,0,2,0,1,1,0,0,1,0,1,0,0,0,0,2,0,0,0,1,2,0,1,1,0,2,0,0,1,0,1,2,0,0,1,2,0,1,0,2,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,2,0,0,0,0,1,1,0,1,1,2,0,0,0,1,1,1,0,1,0,2,0,1,1,1,1,1,0,0,0,0,1,2,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,1,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,1,1,0,1,0,2,1,2,1,0,0,0,1,0,0,0,1,0,0,0,0,2,1,1,1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,2,0,0,1,0,2,1,2,2,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,2,0,0,0,0,1,2,0,0,0,0,1,0,1,2,0,1,0,0,1,1,1,2,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,1,1,0,0,1,0,1,2,0,0,1,0,1,1,0,0,0,0,1,2,1,0,0,0,1,1,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,2,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,1,0,2,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,2,2,2,1,1,2,0,0,0,1,0,0,1,0,2,0,0,1,1,0,0,0,2,0,0,0,2,1,0,1,0,0,2,2,0,1,1,0,1,0,1,1,0,0,0,0,2,0,1,2,1,1,0,1,0,0,0,0,1,1,0,1,1,1,0,1,0,0,0,2,0,1,0,1,0,1,1,0,0,0,0,0,0,0,2,2,0,1,1,0,1,2,0,0,0,1,0,0,1,0,0,0,2,1,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,1,1,2,1,0,1,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,2,0,0,0,1,1,1,1,0,0,0,1,1,1,1,1,1,2,1,1,1,0,0,0,0,2,1,1,2,0,0,1,2,1,0,0,2,1,2,1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,1,2,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,2,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,2,1,0,1,0,1,1,2,0,0,0,1,0,2,0,0,1,1,0,0,1,0,0,2,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,2,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,2,1,0,0,2,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,2,0,2,1,0,0,0,2,0,0,1,2,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,2,1,1,0,0,0,0,0,0,1,0,2,0,2,0,0,0,0,2,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,2,1,1,1,2,0,1,1,0,2,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,2,1,0,2,0,1,0,0,2,1,1,0,0,1,1,0,2,0,1,1,2,0,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,2,0,0,1,0,1,0,2,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,2,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,2,1,1,0,1 1,0,0,2,1,1,0,1,1,2,2,1,0,1,2,0,0,1,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,2,0,1,2,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,1,2,1,0,1,2,1,1,1,0,0,1,0,1,1,0,0,1,0,2,1,1,0,0,0,1,1,1,0,2,1,2,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,2,1,1,1,2,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,1,0,1,2,0,0,1,0,0,1,0,1,0,0,1,0,0,0,2,0,1,1,2,0,1,1,2,0,0,1,0,1,0,0,1,0,0,1,2,0,1,0,2,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,1,0,2,0,1,0,1,0,0,1,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,2,1,0,0,1,0,1,1,2,2,0,0,1,2,0,0,2,1,0,2,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,2,0,0,0,1,0,0,0,1,0,0,0,2,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,2,0,0,1,0,1,1,2,1,1,0,0,0,0,0,0,0,0,0,1,1,0,1,2,1,0,1,0,0,2,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,2,0,0,0,1,1,1,2,1,1,1,0,0,1,0,0,1,1,0,0,2,0,0,0,0,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,1,0,1,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,2,0,1,0,1,1,0,1,1,1,0,1,2,0,1,1,0,1,1,0,0,0,0,1,0,0,0,1,0,2,1,1,1,0,1,2,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,2,0,0,1,1,1,0,0,2,0,0,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,1,0,1,0,1,1,2,1,1,0,0,1,0,0,0,0,1,2,1,0,1,0,0,0,0,1,1,0,1,2,0,2,0,0,1,1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,0,0,0,2,0,0,0,2,0,0,1,0,1,0,0,0,0,1,0,2,1,1,0,1,0,1,2,0,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,1,1,0,2,0,1,0,0,2,1,0,1,0,0,1,0,1,2,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,2,0,1,0,0,2,0,0,1,2,1,0,2,1,1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,1,2,0,0,0,0,0,1,0,0,0,1,2,0,0,0,2,0,1,0,1,0,0,2,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,1,1,1,0,2,2,0,0,2,0,0,1,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,2,2,1,1,0,1,1,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1 0,0,0,1,1,0,0,1,0,1,1,1,0,2,1,1,1,2,1,0,0,0,0,1,1,0,1,2,1,2,2,0,1,1,1,0,1,0,1,0,0,2,1,1,1,0,1,2,1,1,0,0,0,0,2,0,1,0,0,0,1,0,0,0,0,1,1,1,1,1,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,0,1,0,0,0,0,2,0,2,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,1,1,1,1,0,1,1,0,1,0,2,0,0,1,1,0,2,1,0,0,0,2,0,1,0,0,1,0,2,2,1,0,2,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,2,0,0,1,0,2,1,0,0,0,0,0,1,1,0,1,1,1,1,0,1,0,0,0,1,2,1,1,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,1,1,0,0,1,1,2,0,0,0,1,0,1,1,2,0,0,0,1,0,0,1,0,1,2,1,0,1,1,1,0,0,1,0,0,0,1,1,0,2,0,0,0,1,1,1,1,1,0,1,1,1,2,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,2,1,0,0,1,0,0,1,0,0,0,2,0,0,2,1,0,0,1,1,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,1,0,0,1,0,2,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,2,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,1,2,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,2,1,2,0,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0,2,1,0,0,0,0,0,1,1,0,1,0,0,0,2,0,0,0,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,2,0,0,2,0,0,0,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,2,1,0,1,2,0,1,0,1,1,0,2,1,0,1,0,1,2,1,2,0,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,2,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,0,0,0,2,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,1,1,2,1,1,0,0,0,0,1,2,1,0,0,2,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,2,1,1,0,2,0,1,0,0,0,2,2,1,1,0,0,2,1,0,1,0,0,0,0,0,2,0,0,1,0,0,2,1,0,0,0,0,1,1,0,0,2,0,1,2,1,2,0,0,2,1,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0,1,0,0,1,2,0,1,0,0,1,1,1,1,0,2,1,0,0,1,2,0,1,0,0,0,0,2,1,0,0,0,1,1,2,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0,1,0,1,1,1,1,1,1,1,0,0,1,1,0,0,1,0,2,0,0,0,1,0,1,0,0,1,0,0,1,0,2,0,0,1,0,2,0,0,1,1,1,0,0,0,1,1,1,2,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,2,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,2,1,1,1,0,0,0,1,2,0,0,0,1,0,0,0,1,0,1,1,0,1,1 1,0,0,1,1,0,0,1,2,1,1,1,0,1,1,0,0,0,0,0,0,2,0,0,2,1,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,2,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,2,1,1,0,2,1,1,0,1,0,0,0,0,0,1,0,2,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,2,0,0,0,0,1,1,1,1,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,2,0,0,1,0,2,1,2,0,1,1,1,1,0,0,0,0,0,0,1,1,1,1,2,1,0,1,0,1,0,0,2,0,1,2,1,0,0,1,1,1,0,0,0,0,0,2,0,1,0,1,1,0,0,0,2,1,0,0,0,1,0,1,0,0,2,0,0,1,0,1,0,2,0,0,0,1,2,0,1,1,2,0,0,1,1,1,1,0,0,1,2,1,0,0,0,1,1,0,0,1,0,0,0,1,1,0,2,1,1,0,0,1,2,0,0,1,1,0,1,0,1,0,0,0,0,0,0,1,2,0,1,1,1,1,0,0,1,0,0,0,1,0,1,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,1,1,0,1,0,0,0,2,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,2,0,0,0,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,2,0,2,2,0,1,0,2,0,0,1,0,1,0,0,1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,1,0,0,1,0,1,1,0,1,0,1,0,2,2,0,0,0,0,0,2,0,1,0,0,0,1,0,2,0,1,0,2,0,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,1,2,1,1,2,0,2,0,0,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,2,2,0,0,0,0,2,0,1,1,0,0,1,1,1,2,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,2,1,1,1,0,1,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,2,0,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,2,0,0,0,1,0,0,0,2,1,0,1,0,1,0,0,1,0,1,0,0,2,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,2,0,0,1,0,0,2,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,2,0,0,2,1,0,0,0,2,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,0,1,1,0,2,1,1,1,1,0,1,0,0,0,0,1,1,2,0,0,2,0,0,2,1,0,1,0,0,0,1,0,2,0,1,2,1,0,0,0,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,2,0,0,2,0,0,0,0,1,0,1,1,2,0,0,1,0,1,0,1,1,0,0,0,1,2,1,2,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,2,0,1,0,1,1,1,0,0,0,2,0,0,0,2,2,1,0,1,0,1,0,2,0,1,0,0,0,1,2,0,0,0,1,2,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,2,1,0,0,0,1,0,1,0,1,1,1,0,0,2,1,0,0,1,2,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0,2,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,1,2,0,1,0,0,0,0,2,1,2,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1 2,0,1,2,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,1,1,0,2,1,1,1,2,0,1,1,0,0,1,0,0,0,2,1,0,1,1,0,0,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0,2,0,1,2,1,0,1,0,0,1,0,0,0,0,0,2,2,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,1,0,1,1,1,0,0,0,2,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,1,0,2,0,0,0,1,1,1,1,0,0,2,0,0,1,0,1,0,0,2,0,0,1,0,0,1,2,1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,2,0,1,2,0,2,0,1,0,0,1,1,0,2,1,0,1,1,1,0,2,0,1,0,0,0,0,0,0,2,0,1,0,0,1,2,2,0,0,0,0,2,0,0,1,0,0,2,1,0,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,1,1,0,1,1,1,0,0,2,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,2,0,2,0,1,1,0,0,0,0,0,1,0,0,0,2,0,0,1,0,1,0,0,1,2,0,0,1,1,0,0,0,1,0,1,0,0,1,0,2,0,1,0,0,1,1,1,2,0,0,1,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,2,0,0,0,1,1,2,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,2,0,0,0,0,1,0,0,0,0,1,0,1,1,2,0,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,2,0,0,0,2,0,1,0,1,0,1,0,0,1,1,2,0,1,2,0,1,0,1,0,1,0,0,0,0,0,2,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,2,0,1,0,0,2,0,1,0,0,2,1,0,1,0,0,0,1,2,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,2,1,2,1,2,0,0,1,0,0,0,1,1,1,0,1,2,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,2,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,2,0,0,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,2,0,0,0,2,0,0,0,1,1,0,0,0,0,1,1,1,2,0,0,1,1,0,0,0,0,0,1,2,0,0,0,1,1,1,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,2,0,1,1,0,0,1,0,1,1,1,0,1,1,1,0,1,1,2,1,0,0,2,1,0,0,0,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,1,2,1,1,0,2,0,0,0,1,2,0,1,2,0,0,0,2,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,2,2,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,2,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,1,2,0,0,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,2,0,2,2,1,0,0,1,1,0,2,0,1,0,0,0,2,2,1,1,2,0,1,0,0,1,0,0,0,1 0,0,1,2,0,0,1,1,0,1,2,2,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,2,0,2,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1,2,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,2,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,2,0,0,0,1,0,2,0,1,0,2,2,2,1,0,0,0,0,0,0,1,2,1,1,0,0,1,0,0,0,0,1,1,0,0,1,1,1,0,1,1,0,0,2,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,1,0,0,2,1,1,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0,1,2,0,0,0,1,0,0,0,0,0,2,0,0,0,1,1,0,1,0,0,1,0,2,0,1,0,0,1,0,1,2,1,2,2,1,0,0,1,0,0,0,1,0,1,1,0,0,0,1,1,1,1,0,2,0,0,1,1,1,0,0,0,0,2,0,0,1,1,0,1,0,0,1,0,1,1,0,0,2,0,0,1,2,1,1,0,1,0,0,2,0,1,0,0,1,0,1,0,0,0,0,2,1,0,1,0,0,0,0,1,0,1,0,0,1,2,0,1,1,2,1,0,1,2,0,0,1,0,1,2,1,1,0,0,0,1,2,0,0,0,0,0,1,0,2,0,0,0,0,2,0,1,0,0,1,0,0,0,1,0,0,0,0,0,2,1,0,0,0,1,0,0,1,0,0,0,1,1,0,2,0,0,0,0,2,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,2,2,0,1,0,0,1,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,0,0,0,1,1,1,0,0,1,0,1,2,2,0,0,0,0,0,0,0,2,0,2,0,0,2,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0,2,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,2,0,1,0,1,0,1,1,2,0,0,0,0,0,0,2,1,0,0,1,1,0,1,1,0,0,0,1,0,2,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,1,2,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,1,0,2,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,2,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,2,2,1,0,1,1,1,1,0,0,2,1,0,2,1,1,1,1,0,2,2,0,2,2,1,1,0,0,0,2,1,0,0,1,0,0,0,0,2,0,0,0,1,0,1,0,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,1,1,1,1,0,0,2,1,0,0,1,0,2,0,0,1,0,0,0,0,2,1,2,0,1,1,0,0,1,0,1,0,0,1,1,1,2,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,1,2,0,1,1,1,1,0,0,1,0,0,0,0,2,0,1,1,1,2,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,1,1,1,1,0,1,0,1,0,0,0,0,2,0,1,0,0,0,2,0,1,0,1,1,1,0,0,0,0,0,0,0,0,2,0,1,0,1,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,1,0,0,1,2,0,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,1,2,0,2,0,1,2,0,1,1,0,0,1,1,1,1,1,1,1,0,0,2,0,1,0,0,2,1 0,0,0,1,0,1,0,0,1,1,2,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,1,2,0,1,0,1,0,1,0,2,0,0,0,1,0,0,0,1,0,2,1,2,1,0,0,0,0,0,1,2,1,2,0,2,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,2,2,1,0,1,0,1,0,2,2,0,0,2,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,2,0,1,1,0,0,0,1,1,1,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,2,0,2,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,2,1,0,2,1,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,2,1,0,2,0,2,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,1,2,2,1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,2,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0,1,0,1,2,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,2,1,2,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,2,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,1,1,1,1,2,0,0,2,0,1,0,0,0,1,0,1,0,0,1,0,2,1,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0,1,2,1,0,0,0,2,1,2,1,1,2,0,0,0,1,0,2,0,0,0,0,0,0,1,1,0,0,2,0,1,1,2,0,1,1,0,2,0,1,0,0,2,0,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,2,0,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,2,1,1,1,0,0,0,2,1,0,0,1,1,1,0,0,0,0,2,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,2,1,0,0,2,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,2,0,0,2,0,1,0,0,1,1,0,0,2,1,0,0,1,1,0,2,1,1,0,0,0,1,1,1,0,1,0,2,0,0,1,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,2,1,0,1,1,1,0,1,1,1,1,1,1,2,0,0,0,0,0,0,0,2,1,0,1,0,1,0,0,0,2,1,1,1,0,0,0,1,2,0,0,0,1,0,2,1,0,1,0,1,1,1,1,1,0,0,1,1,0,2,0,0,0,1,0,2,0,0,0,1,0,1,0,2,1,0,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0,1,1,0,1,1,0,1,2,0,1,1,0,1,1,2,1,1,0,2,0,1,1,2,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,2,0,0,1,1,0,0,0,0,1,2,0,1,1,1,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,1,1,1,1,0,2,1,1,1,0,2,0,1,0,2,0,1,0,0,1,0,0,0,0,2,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,1,0,2,0,2,0,0,0,0,2,0,1,1,1,0,2,0,0,1,0,1,1,0,1,2,1,1,0,2,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,2,1,0,0,1,0,0,2,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0,1,2,1,0,1,0,0,1,0,0,2,1,0,0,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,1,0,0,1 0,0,1,2,0,0,1,1,0,0,2,1,0,1,1,1,0,0,0,0,0,2,0,0,1,1,0,0,0,0,2,0,2,1,0,0,0,1,0,0,2,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,2,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,0,2,0,0,0,0,0,1,2,1,1,0,1,0,0,0,0,0,1,1,0,1,2,0,0,1,0,1,0,1,0,0,0,1,2,1,0,0,1,0,0,2,0,1,0,1,0,0,1,0,0,1,1,0,2,0,0,2,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,1,0,1,0,1,1,1,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,1,1,2,0,2,1,2,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,2,1,2,0,1,1,2,1,0,0,0,0,0,0,0,0,1,1,2,1,1,0,1,0,2,0,1,0,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,2,1,1,1,0,2,0,0,1,1,0,0,1,0,1,0,1,1,1,2,0,2,0,0,0,1,0,0,0,0,1,2,1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,2,1,0,1,1,0,0,0,2,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0,2,0,0,1,0,0,0,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,2,2,1,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0,1,1,0,2,0,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,2,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,0,2,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,1,1,2,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,1,0,1,0,2,0,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,1,1,0,0,1,0,1,0,2,1,0,1,2,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,2,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,1,1,1,1,0,0,2,1,1,1,0,0,1,0,0,0,1,0,1,0,2,0,0,0,1,1,1,0,1,0,0,0,1,1,1,2,0,2,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,1,2,1,1,0,0,0,0,1,0,0,2,0,0,1,0,2,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,2,1,0,2,0,0,0,0,0,0,1,0,1,2,0,0,0,1,0,2,0,2,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,0,2,0,0,0,0,0,0,0,0,2,1,1,0,0,1,1,0,0,0,2,0,0,1,1,1,2,0,1,0,2,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,0,1,0,2,1,0,0,0,1,1,0,0,0,0,0,0,1,1,1,0,2,0,1,0,0,0,2,0,2,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,2,0,2,0,0,0,0,1,0,1,0,0,0,2,0,0,1,0,0,1,1,0,1 1,0,1,0,0,1,1,1,0,1,2,2,0,2,2,0,0,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,1,0,1,0,2,0,0,0,1,2,1,0,0,0,0,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0,2,1,1,0,0,0,1,2,1,1,0,1,0,0,1,1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,1,2,1,1,1,2,1,1,0,1,0,0,0,0,2,0,0,1,0,0,0,0,1,0,1,0,0,0,0,2,2,1,1,2,0,1,1,0,1,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,2,1,1,2,0,0,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,2,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,2,0,0,0,1,1,0,0,1,1,0,0,1,2,1,1,0,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,2,0,0,1,0,0,0,1,1,2,0,0,2,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,2,0,1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,2,1,1,0,0,1,1,0,0,0,0,1,2,0,0,0,0,1,0,1,2,0,0,0,1,1,0,0,1,0,2,0,1,1,2,1,0,0,1,0,1,2,0,1,0,0,0,0,2,0,0,1,0,1,0,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0,2,0,0,0,1,1,0,1,1,0,1,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,0,0,1,0,0,0,2,0,0,2,0,1,1,0,2,1,2,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0,0,2,0,0,0,1,1,2,1,1,0,1,1,1,1,1,1,0,0,0,1,0,2,0,0,0,0,1,1,1,0,0,0,2,1,0,2,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,2,1,1,0,1,1,0,0,2,0,1,1,1,0,2,0,0,0,1,1,0,2,1,2,0,0,0,1,0,1,1,0,2,1,0,0,2,0,1,0,2,2,0,0,0,0,1,1,0,1,1,0,2,0,1,0,0,1,1,1,2,1,0,0,0,0,0,0,0,0,2,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,1,1,0,1,2,1,0,0,2,0,2,1,1,0,0,0,0,1,0,1,0,2,2,0,0,1,1,0,0,0,0,1,1,1,2,1,0,1,1,2,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,2,0,1,2,2,1,1,0,0,0,0,0,2,0,1,0,1,0,1,0,0,0,0,0,1,0,2,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,2,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,2,1,1,0,1,2,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,2,0,0,1,0,1,1,0,1,0,2,0,0,1,1,2,1,1,0,2,2,0,1,2,0,0,0,0,1,0,0,0,0,1,0,2,0,0,1,0,0,0,1,1,2,0,0,0,0,0,1,0,1,2,0,1,1,0,0,1,1,0,0,0,1,1,1,1,2,0,0,0,0,1,1,2,0,1,0,1,2,0,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,1 1,0,1,0,0,0,1,0,0,1,0,2,0,1,1,0,1,2,1,0,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0,2,1,1,0,1,1,0,2,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,1,1,0,2,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,2,1,0,1,0,1,1,0,1,1,2,0,1,1,0,1,0,1,1,0,0,0,1,2,2,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,2,1,0,0,1,1,0,0,0,2,1,0,0,0,1,1,0,0,1,1,2,0,0,0,0,2,1,0,0,0,0,1,0,0,2,0,2,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,2,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,2,0,1,2,0,1,1,1,0,1,2,0,0,0,2,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,1,2,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1,2,1,0,0,0,0,1,2,0,0,0,1,0,0,2,0,0,0,0,0,2,0,0,0,1,0,1,0,1,1,1,0,2,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,2,0,2,0,1,1,2,0,0,1,2,1,0,2,0,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,1,0,1,1,1,1,1,0,0,0,1,2,1,1,0,1,0,1,0,1,0,2,0,0,0,0,0,2,0,1,1,1,0,0,2,0,2,0,1,2,0,0,0,0,0,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0,1,2,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,1,1,0,1,1,2,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,2,2,1,2,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,2,1,1,0,0,1,2,0,0,0,0,0,1,0,0,1,1,2,1,0,1,1,0,0,0,1,2,2,0,0,1,0,0,2,2,2,1,0,1,0,1,0,2,1,0,0,1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,0,2,1,0,0,1,0,0,1,0,0,2,1,1,0,2,2,1,0,0,1,0,0,1,0,2,0,1,1,0,0,0,2,1,0,2,0,1,0,1,0,1,1,0,2,1,0,0,0,2,0,1,1,0,0,0,1,0,2,1,0,0,0,0,1,0,1,0,0,0,0,1,2,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,1,2,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,2,0,0,1,1,1,0,0,1,0,0,1,2,0,1,1,1,1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0,2,0,2,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,2,2,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,1,0,0,2,0,1,0,0,0,2,0,0,1,0,0,0,1,1,2,1,1,0,2,0,1,0,0,2,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,1,1,0,0,2,0,1,2,0,0,0,0,1,1,1,1,0,1,1,1,0,1,0,0,2,0,0,0,0,0,1,0,1,1,0,0,1 0,0,1,0,0,1,0,2,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,2,1,1,2,1,1,0,1,1,0,0,0,1,1,0,2,2,1,2,1,0,1,1,0,0,2,0,0,0,0,0,1,1,0,2,0,0,1,1,0,1,0,0,0,0,2,0,1,2,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,2,1,1,0,0,1,2,2,1,0,1,0,1,0,0,1,1,0,2,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,2,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,2,1,1,2,0,0,2,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,2,2,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,1,0,0,1,1,2,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,2,1,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,0,0,2,2,0,1,0,0,1,0,0,0,2,1,1,0,0,0,0,0,2,2,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,2,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,2,0,0,0,0,1,1,0,0,1,0,0,1,0,2,0,1,0,0,2,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,2,2,1,0,1,0,1,0,0,0,1,0,0,0,1,0,2,1,0,1,1,2,1,1,2,0,2,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,2,0,1,1,0,0,1,0,1,0,0,0,0,0,2,1,0,0,1,0,0,0,1,1,0,0,0,1,1,1,2,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,2,0,0,1,0,2,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,1,0,1,0,1,1,1,0,1,0,0,2,0,1,1,1,1,0,1,1,0,1,1,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,2,0,2,0,0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,2,0,0,1,1,1,1,1,0,0,0,2,0,0,2,0,0,0,1,0,0,0,1,0,2,1,0,0,0,0,1,2,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,1,0,2,0,1,0,1,2,2,0,0,1,0,0,0,2,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,1,0,2,0,1,0,2,1,0,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,2,0,1,0,0,1,0,1,0,1,1,1,0,1,1,1,0,2,1,0,1,0,0,0,2,1,0,1,1,0,0,0,0,2,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0,2,2,0,0,0,1,0,1,1,0,0,2,1,1,2,0,2,0,0,0,0,0,0,2,1,2,1,0,0,1,0,0,2,0,2,0,0,0,0,0,1,1,0,0,2,0,0,2,1,1,1,1,0,1,2,0,1,1,2,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,2,0,2,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,2,0,1,1 1,0,0,1,1,0,1,0,0,2,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,2,1,1,1,0,0,2,0,0,1,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,2,1,1,0,0,0,0,0,0,1,0,2,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,2,1,0,0,2,0,0,0,0,1,1,2,0,0,0,1,0,1,0,2,0,1,0,1,1,2,0,0,0,0,0,1,0,0,2,1,1,1,0,2,0,0,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,1,1,0,2,1,0,0,0,0,0,1,0,2,0,0,1,0,0,1,0,2,1,0,0,0,1,0,1,1,0,2,1,0,0,0,1,1,0,0,0,2,0,0,0,1,0,1,0,1,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,2,2,0,1,0,1,0,0,1,0,0,1,2,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,2,1,0,2,1,2,1,0,0,0,0,0,0,1,0,1,0,2,0,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,1,0,2,0,0,1,0,0,1,1,1,1,0,1,0,2,1,0,0,0,1,0,0,2,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,2,2,0,1,0,0,1,0,0,0,1,2,0,1,0,0,0,1,0,1,0,0,2,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,2,0,2,0,0,0,1,0,0,1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,2,0,1,2,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,2,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,2,0,0,1,0,0,1,1,1,1,2,1,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,2,0,0,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,2,1,2,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,2,1,0,1,1,0,2,1,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0,2,0,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,0,1,1,2,0,2,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,2,0,0,2,0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,2,1,0,0,0,1,0,0,0,1,0,0,0,1,2,1,0,0,1,0,0,0,2,0,0,1,1,1,1,0,0,1,1,1,2,1,0,0,0,0,1,1,0,1,1,1,0,2,0,0,0,0,0,1,0,0,2,0,0,1,0,1,0,0,2,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,2,1,0,0,0,0,1,2,2,2,1,0,1,1,0,0,1,0,0,1,1,1,0,2,1,1,1,0,1,1,0,0,0,1,1,1,0,2,2,1,0,0,0,2,1,0,1,0,1,0,1,1,2,1,0,0,1,0,1,0,0,0,2,1,1,2,0,0,0,1,0,1,0,0,1,0,2,1,2,0,1,0,1,0,1,1,0,2,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,2,2,1,0,0,0,0,0,0,0,1,2,0,0,1,2,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,2,1,0,0,0,1,2,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,2,1,0,2,1,0,0,0,0,1,0,0,1,1,2,1,1,0,1,0,0,0,0,1,0,0,1,0,1,1 0,0,2,1,1,1,1,2,1,2,1,0,0,0,1,0,0,1,1,0,0,0,1,1,2,1,0,0,1,0,2,0,0,1,0,0,2,0,1,0,1,1,0,2,1,0,0,2,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,1,0,2,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,2,0,1,0,0,0,1,0,1,0,0,1,2,2,0,1,0,1,1,1,0,0,0,0,0,1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,2,0,1,0,1,0,1,1,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,2,0,0,0,1,1,0,1,1,0,2,0,0,0,0,1,0,0,0,1,1,1,0,1,0,2,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,2,1,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,1,1,2,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0,1,2,0,0,0,0,1,1,1,1,0,1,1,1,1,1,2,0,1,0,0,0,0,1,0,0,0,1,0,0,2,0,1,0,2,0,0,1,1,1,0,1,2,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,2,2,1,1,0,1,1,0,0,1,2,1,0,0,0,1,0,2,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,1,2,1,2,1,1,0,0,0,1,0,1,2,1,2,0,1,2,0,1,0,0,1,0,1,0,0,1,0,1,0,1,2,2,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,2,2,1,1,0,2,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,1,2,0,0,1,1,0,2,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,1,1,1,2,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,2,0,2,0,1,1,1,1,2,0,2,0,0,1,0,0,0,0,0,0,1,1,0,2,1,0,0,0,2,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,2,0,0,0,0,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,1,1,2,0,2,2,0,1,0,1,1,0,0,0,2,1,2,0,2,0,2,0,0,2,0,0,0,0,0,0,2,0,0,2,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,1,0,1,2,1,2,0,0,1,0,0,0,1,2,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,0,1,1,1,1,0,0,0,0,2,1,1,0,2,1,0,0,0,2,1,1,2,1,1,1,0,1,0,1,0,0,1,2,2,2,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,2,1,0,2,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0,2,1,1,1,2,0,0,1,2,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,2,1,1,1,2,2,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,2,1,0,2,0,0,2,0,1,1,0,0,0,1,1,1,2,1,0,1,1,0,1,0,1,0,0,0,0,0,2,0,2,2,1,1,0,0,1,2,0,0,1,2,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0,1 0,0,1,2,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,2,1,0,2,0,1,1,1,0,0,0,1,0,0,1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,1,0,1,2,0,1,2,1,0,0,0,1,0,1,1,0,2,0,1,1,0,0,0,0,2,0,0,1,1,1,2,0,0,1,0,1,2,0,0,1,0,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,2,0,1,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,2,0,0,1,0,0,0,1,1,1,0,0,0,1,2,0,0,1,1,0,1,1,0,1,1,0,0,1,2,0,0,1,1,0,1,0,0,0,0,1,1,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,2,1,1,1,0,1,1,1,0,0,0,0,0,0,0,2,1,0,0,0,0,0,2,0,1,0,1,0,1,0,1,0,0,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,2,0,0,0,0,1,1,0,0,1,0,0,0,2,1,1,0,0,1,0,0,1,1,0,0,0,2,0,1,0,0,0,0,2,2,0,0,0,1,1,0,0,2,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,1,1,0,1,1,0,1,1,0,0,1,1,1,1,2,1,1,0,0,2,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,1,0,2,2,1,0,1,0,2,0,0,2,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,1,1,1,0,0,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,2,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,2,0,0,0,0,2,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0,1,2,2,0,0,1,0,1,0,0,0,1,0,0,0,2,0,2,0,1,1,1,1,1,1,2,0,1,2,0,2,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,2,1,1,0,2,2,0,0,1,0,0,0,1,1,0,0,1,1,1,1,0,0,2,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,2,0,1,1,2,1,0,0,0,1,2,0,0,1,1,1,0,0,1,2,0,1,0,1,0,0,0,1,0,1,1,1,0,1,0,1,1,1,0,0,1,2,0,1,0,1,2,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,2,0,1,1,0,0,0,2,0,0,0,1,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,2,1,0,1,2,0,0,1,1,2,1,0,0,0,0,0,0,1,2,1,1,1,0,0,2,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,2,1,1,1,1,0,0,0,1,1,1,0,1,2,2,0,2,1,0,0,1,2,0,1,0,0,0,2,1,0,0,0,1,1,0,0,0,1,0,1,1,2,1,0,0,0,1,1,0,1,0,0,2,1,0,1,0,0,1,0,0,0,1,1,0,1,0,1,1,0,1,0,0,1,2,0,1,2,1,0,0,0,0,0,1,0,1,0,1,0,0,0,1,2,0,0,1,2,0,0,0,1,0,1,0,0,1,0,1,0,1,2,2,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,1,0,0,0,2,0,0,0,0,1,2,0,1,1,0,1,0,1,0,0,1,0,1,1,1,2,0,0,2,0,0,1,1,0,1,0,0,1,2,1,1,1,0,0,2,0,1,0,1,1,0,2,0,0,0,0,0,1,0,0,1 0,0,1,0,1,0,0,0,1,2,1,0,1,2,2,0,0,1,0,0,0,0,0,1,2,1,2,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,0,2,0,0,0,1,0,1,1,1,0,0,0,0,2,1,2,0,0,1,0,2,1,0,0,0,2,0,0,0,0,0,2,1,1,0,0,1,0,1,0,1,0,1,1,0,0,2,0,1,1,0,1,2,1,0,0,1,0,0,1,0,2,2,1,0,1,2,1,0,1,0,0,0,0,0,1,1,1,1,1,1,1,1,0,0,0,2,1,2,0,1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,2,1,2,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,2,0,1,0,1,1,0,1,1,0,1,0,0,1,0,1,2,0,0,2,1,0,0,1,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,1,1,0,2,0,1,1,1,0,1,1,0,0,0,0,1,0,2,0,0,0,1,1,0,1,0,0,0,0,0,1,2,0,0,0,0,0,2,2,0,0,0,0,0,2,0,0,0,1,0,2,0,1,0,0,1,0,1,0,0,1,1,1,0,2,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,1,1,2,1,1,1,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,1,2,0,1,0,2,2,0,1,0,0,1,0,1,2,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,1,0,0,0,2,0,0,0,0,0,1,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,1,0,0,1,0,0,0,1,1,1,0,0,2,1,0,1,0,0,0,1,0,0,2,1,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,2,0,1,1,1,1,1,2,1,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,2,0,1,2,0,1,1,0,2,1,0,0,0,1,0,1,2,0,2,1,0,0,0,0,0,1,1,0,0,0,1,0,2,0,1,1,1,0,0,0,0,1,0,0,2,0,0,0,1,0,1,2,0,2,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0,2,0,0,1,1,1,1,0,0,1,0,2,0,1,0,1,2,1,1,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,0,0,0,1,1,1,1,1,0,2,0,1,0,1,1,1,2,1,1,1,0,1,0,1,0,0,0,0,2,1,0,1,2,0,1,0,0,2,0,0,0,0,0,0,2,1,1,0,2,0,1,0,1,0,0,2,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,2,0,0,1,0,0,0,2,0,0,2,0,0,0,0,1,0,1,1,1,1,0,0,2,0,1,1,0,0,0,1,1,0,2,1,1,0,2,0,0,0,0,0,1,0,0,1,0,0,2,0,2,0,0,2,1,1,0,0,0,1,0,2,0,0,2,0,0,2,0,0,0,0,1,2,0,0,1,1,0,1,1,1,1,1,0,2,0,0,2,0,1,0,1,1,1,0,1,0,1,2,1,1,0,0,0,1,1,1,1,0,2,0,0,0,2,0,1,2,1,2,1 0,0,2,1,2,0,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,2,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,2,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,2,0,0,1,0,1,0,1,0,1,0,0,2,1,2,0,1,0,0,0,0,0,1,1,1,0,0,2,1,0,0,1,0,0,1,0,1,2,0,0,1,0,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,1,0,2,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,1,1,0,0,0,2,0,0,0,0,1,2,1,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,1,1,1,1,2,1,1,0,0,1,2,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,2,2,1,0,1,1,0,1,2,0,0,0,1,0,0,0,1,0,0,1,0,0,2,1,0,1,0,1,0,0,1,1,2,0,0,0,1,0,0,1,0,1,0,2,1,0,2,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,2,0,0,1,1,1,0,2,2,1,0,0,2,1,1,0,0,0,1,0,0,0,0,1,1,0,0,1,2,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,2,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,0,2,0,0,1,0,2,2,0,2,0,0,0,2,0,0,2,1,1,1,2,1,2,0,0,0,0,0,0,0,1,0,0,1,1,1,0,1,2,1,0,1,1,0,0,0,0,0,0,1,1,2,1,0,0,2,1,0,0,1,0,1,0,0,1,1,0,1,0,1,1,0,0,2,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,2,0,0,1,2,0,0,0,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0,1,2,0,0,1,0,0,2,1,0,0,0,0,0,0,1,2,0,0,0,1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0,1,2,1,1,2,1,2,0,0,2,2,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,2,2,2,0,1,2,0,0,0,0,2,0,2,0,0,0,1,1,0,0,1,0,2,0,1,1,0,0,1,0,1,1,2,1,1,2,0,1,2,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,2,0,1,0,0,0,1,1,0,1,0,0,2,0,1,0,0,1,2,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,2,0,0,1,2,1,0,0,0,1,0,0,1,1,0,0,0,1,0,0,2,1,0,0,0,0,0,1,1,2,2,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0,1,1,2,1,0,1,1,1,0,0,0,0,0,2,1,0,1,1,0,1,0,1,1,1,0,2,0,0,0,1,1,0,1,1,1,0,1,0,1,1,2,0,0,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,1,1,0,0,1,0,0,1,1,1,0,1,0,2,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,2,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,1,2,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0,2,0,0,0,0,1,0,0,0,1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,1,2,0,1,1 0,0,1,1,0,0,0,1,2,0,1,1,0,2,1,0,0,2,0,0,0,0,1,0,1,2,0,1,0,1,1,0,1,0,0,0,0,1,1,0,2,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,2,1,1,1,0,0,1,2,0,1,1,0,1,0,2,1,0,2,1,0,1,2,0,0,0,0,0,1,1,0,0,0,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,2,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,2,1,0,0,2,1,0,1,2,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,1,0,2,1,0,2,0,0,0,1,1,0,0,0,1,1,2,0,0,0,2,0,1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,2,1,0,0,1,0,2,0,0,0,0,1,1,1,1,0,0,2,0,1,1,0,1,1,2,0,1,1,0,0,2,1,0,1,0,2,0,0,0,1,0,1,0,1,0,1,1,0,2,1,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,2,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,2,1,0,0,1,0,0,0,0,1,1,0,2,0,0,2,2,1,0,0,2,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,0,2,0,1,1,1,1,0,0,2,0,0,0,0,2,1,0,1,1,1,0,0,0,1,1,0,2,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,1,1,2,1,2,1,0,1,2,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,2,1,1,0,2,0,1,0,1,0,1,0,0,0,1,1,1,0,1,0,1,1,1,0,2,0,0,0,1,1,0,0,1,0,0,0,1,1,1,0,2,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,2,1,1,0,0,1,1,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,2,0,0,2,0,1,2,0,0,1,0,1,0,0,0,1,2,0,1,1,0,1,0,1,0,0,0,2,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,2,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,2,0,1,1,0,0,0,1,0,1,0,1,1,1,2,0,2,0,0,0,1,1,0,0,0,0,1,1,1,1,2,0,0,0,2,1,1,0,0,0,1,1,1,1,0,0,1,1,0,1,1,0,1,1,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,1,2,1,0,0,0,1,0,0,2,0,2,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,2,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0,2,1,0,0,1,2,1,0,0,2,0,0,1,1,1,0,0,1,0,0,0,0,2,0,0,1,0,2,0,1,1,2,1,0,0,0,0,0,1,0,1,2,1,0,1,2,1,1,0,0,0,0,0,1,0,1,1,1,0,1,0,1,0,0,2,0,0,0,0,1,1,2,0,0,0,0,0,1,0,2,0,0,0,1,0,1,1,2,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,2,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,2,0,0,0,1,0,0,2,0,1,0,0,1,0,2,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,2,1,0,2,1,2,0,0,1,0,2,0,1,0,1 0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,2,1,1,2,0,0,1,0,1,0,0,0,1,0,0,1,1,2,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,0,0,0,2,2,1,1,0,1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,2,0,0,0,0,0,1,0,1,1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0,1,2,0,0,0,0,0,2,2,0,1,0,0,1,2,0,2,0,1,1,0,1,1,0,1,0,0,0,0,0,0,2,2,0,1,1,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,1,1,2,0,0,0,2,0,1,1,0,0,0,0,2,1,0,0,2,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,2,0,1,2,0,0,0,0,0,0,1,1,2,0,0,0,1,1,2,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,2,0,0,2,1,1,1,2,1,2,0,0,0,2,0,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,1,0,1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,1,1,0,1,0,0,1,0,1,0,1,2,0,0,2,0,0,0,2,1,0,1,1,0,2,1,0,0,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,1,1,1,2,0,0,0,0,2,1,0,0,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0,2,0,0,1,0,1,0,1,1,0,0,1,0,2,0,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,1,1,0,1,1,2,1,1,1,0,0,1,0,0,1,2,0,2,2,0,1,1,0,1,1,2,1,1,1,0,0,0,0,1,1,0,1,1,0,2,0,0,0,0,0,1,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,2,1,0,1,0,0,0,0,0,1,2,1,1,1,0,1,0,1,2,1,0,0,0,1,0,0,0,1,0,0,0,0,2,0,1,1,2,1,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,1,2,0,0,0,1,1,0,0,0,1,1,0,0,0,1,2,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,2,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,2,0,1,1,1,1,0,0,1,0,0,0,1,0,2,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0,1,2,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,2,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,2,0,1,0,1,0,0,1,1,0,0,0,1,0,1,1,0,2,0,2,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,2,0,2,2,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,2,1,0,0,0,0,1,0,2,0,0,1,0,0,2,0,1,1,0,1,0,1,0,0,2,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,2,1,0,1 0,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,1,2,1,0,2,1,0,1,0,2,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,2,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,1,2,0,0,0,1,0,0,1,0,0,2,0,0,0,2,1,2,0,1,0,1,0,2,2,1,0,2,1,2,1,2,2,0,0,0,0,1,1,0,2,0,0,0,0,1,1,1,0,1,1,0,0,0,1,0,2,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,2,1,1,2,1,0,0,0,1,0,0,1,0,1,0,2,0,0,0,0,1,2,0,2,0,0,1,0,1,0,0,0,1,1,2,0,2,0,0,1,0,0,1,1,0,0,0,0,1,1,1,1,1,2,0,0,0,0,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,2,2,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,2,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,2,2,1,1,0,0,0,0,1,0,1,0,0,0,1,1,2,1,0,0,1,0,0,1,0,0,0,1,0,2,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,2,2,1,1,0,2,1,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,1,1,0,1,1,0,2,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,2,1,0,1,0,1,0,0,2,1,1,0,0,0,2,1,1,1,1,0,0,1,0,2,0,2,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,2,0,0,2,0,1,1,0,0,1,0,0,1,0,0,1,0,2,2,0,2,0,0,0,1,1,0,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0,2,1,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,0,2,0,0,0,1,0,0,2,0,0,0,0,1,0,2,0,1,0,2,1,0,2,0,0,0,0,1,0,0,1,0,2,0,0,2,2,1,1,1,1,0,0,2,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,2,0,1,0,2,1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0,1,1,1,1,0,2,0,1,0,0,1,1,1,0,1,0,1,2,0,1,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,1,2,1,0,0,0,2,1,0,0,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,2,0,0,0,0,1,2,0,1,0,1,0,0,0,1,0,2,0,1,2,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0,2,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,2,0,0,1,1,0,0,0,1,1,0,2,1,0,1,0,1,0,0,0,1,2,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,1,2,1,1,0,0,0,0,2,1,0,1,0,1,0,0,0,0,0,0,1,0,0,2,1,1,0,0,0,0,0,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,1,1,0,2,0,0,0,0,1,0,0,1,0,0,2,1,0,1,2,1,0,0,0,1,0,1,1,1,1,0,0,2,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,2,0,1,2,0,0,1,2,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1 1,0,2,0,0,1,0,2,0,0,0,1,0,1,0,0,1,1,0,0,0,1,0,1,2,1,0,0,1,1,1,0,1,0,1,0,0,1,0,1,2,2,0,2,2,1,1,1,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,1,0,1,1,0,2,1,2,0,0,0,0,0,0,2,0,0,1,0,0,0,2,1,1,0,1,1,1,2,1,0,0,0,1,0,1,0,1,1,0,0,2,1,0,1,0,2,0,1,0,1,0,0,0,1,1,2,1,1,0,0,0,2,0,2,1,0,0,0,0,2,1,0,0,0,2,2,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0,2,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,1,2,0,0,1,0,1,0,0,1,0,1,0,1,0,0,1,2,0,2,1,0,0,1,1,0,0,0,0,0,0,0,0,0,2,2,0,1,1,2,0,1,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,2,0,2,0,2,1,1,2,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,0,1,1,0,2,1,0,0,1,0,0,0,0,0,0,2,2,1,0,1,0,0,1,2,1,0,0,1,0,0,2,0,0,0,0,0,2,0,0,2,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,2,0,2,1,2,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,2,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,1,0,2,1,0,1,0,1,1,2,1,0,0,0,0,2,0,2,0,1,0,0,0,0,2,1,2,0,0,2,1,0,0,0,2,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,1,1,1,2,2,0,1,0,1,1,1,0,0,0,1,1,1,2,0,2,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,0,2,0,0,0,2,0,0,0,0,2,1,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,1,0,0,2,0,1,2,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,2,0,2,0,1,1,1,1,0,2,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,2,1,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,0,1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0,2,0,1,0,2,0,1,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,2,0,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,2,0,0,1,0,0,0,2,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,1,2,0,0,0,0,1,1,0,0,1,1,2,0,2,1,2,0,1,1,0,0,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,1,1,1,0,1,2,0,1,1,0,0,0,2,0,1,1,0,0,2,0,0,1,2,2,1,0,1,0,0,0,1,0,0,1,2,0,2,0,0,1,0,1,1,1,0,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,1,2,1,1,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,2,0,0,1,0,0,1,0,0,2,0,1,0,0,0,0,2,0,0,1,1,1,0,0,0,0,1,1,0,0,1,0,2,0,1,0,1,2,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,1,2,0,1 2,0,1,1,0,0,1,1,0,0,1,0,0,2,1,0,0,2,0,0,0,1,1,0,1,2,0,2,0,1,0,0,0,1,0,0,1,1,1,1,2,1,1,1,0,1,0,1,1,1,1,0,0,0,1,0,2,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,2,0,0,2,1,1,0,1,1,0,1,2,0,1,0,0,0,0,2,1,0,0,1,2,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,1,2,0,2,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,2,1,1,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,0,1,1,1,2,0,0,0,0,2,2,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,1,2,0,0,0,1,1,0,2,2,0,0,0,2,0,2,0,0,0,0,1,0,1,2,0,1,1,2,0,0,1,2,2,0,0,0,1,1,0,0,0,1,0,1,0,1,2,2,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,0,2,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,1,2,0,0,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,2,0,0,2,0,1,0,1,2,0,0,1,1,2,1,1,0,1,2,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,2,1,0,0,2,1,0,0,0,0,1,0,1,1,0,0,0,1,1,1,1,0,2,0,0,1,1,1,2,1,0,0,0,1,0,1,2,0,2,1,2,1,0,0,1,1,1,0,0,1,0,1,1,0,1,2,0,0,0,0,1,0,0,1,0,1,1,0,1,2,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,2,1,0,2,0,0,0,1,2,2,2,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,2,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,2,0,1,0,0,1,1,0,0,0,0,1,2,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,2,0,1,2,0,0,0,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,1,2,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,2,2,0,1,2,0,0,1,0,1,1,1,1,0,0,0,2,0,0,1,0,0,0,2,2,0,0,1,0,0,0,1,0,0,0,0,1,0,2,0,1,1,1,0,2,0,1,0,1,1,1,0,2,1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,2,1,0,2,2,2,0,0,2,0,1,0,2,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,1,1,0,2,1,0,1,0,1,1,0,0,0,0,0,0,1,1,2,1,0,0,0,0,0,2,0,0,0,2,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,2,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,1,0,1,1,2,1,2,0,0,0,1,1,0,1,1,1,1,2,0,1,0,1,2,0,1,0,0,1,1,2,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,2,1,0,1,0,1,1,1,0,0,2,1,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,1,1,1,1,2,0,0,0,1,0,0,0,0,2,1,0,1,0,1,2,1,1,0,1,0,1,0,2,0,0,1,0,2,2,0,1,1,1,0,0,0,1,0,0,0,1,2,0,2,1,0,1,1,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,1,0,0,2,2,0,0,0,1,1,2,1,1,1,0,0,1,0,0,2,1,1,0,0,0,0,1,2,0,2,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,1,2,0,1 1,0,1,1,2,0,0,1,0,1,2,1,0,1,1,1,0,0,0,0,0,0,0,0,2,1,1,2,1,0,0,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,2,0,0,0,1,0,0,1,2,0,1,0,1,1,1,0,1,0,1,0,1,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,2,2,0,0,1,0,0,0,1,0,0,0,0,0,1,1,1,1,0,1,0,1,0,1,0,2,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,2,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,2,2,0,2,0,0,1,0,2,0,0,0,0,0,0,2,2,0,0,0,0,0,0,2,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0,2,1,0,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,2,2,0,0,0,0,0,1,1,0,0,0,1,0,0,2,2,1,0,1,0,1,0,0,0,0,0,1,0,0,2,0,0,1,0,0,1,0,2,0,1,1,0,1,2,1,1,1,2,2,1,0,0,1,0,1,1,0,1,0,1,1,0,1,1,2,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,2,0,0,0,1,0,1,0,0,1,0,0,2,2,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,2,1,1,0,1,0,0,1,1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,2,0,0,0,1,2,0,0,0,0,0,2,2,0,1,0,0,1,2,1,0,0,0,0,2,0,0,1,0,2,0,1,1,0,0,2,0,2,0,0,0,0,1,0,2,2,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,2,0,0,0,2,0,0,0,0,1,0,0,1,0,0,0,0,1,2,0,1,0,2,0,0,0,0,0,0,0,0,0,1,1,1,2,0,0,1,0,1,0,0,0,2,2,0,0,1,1,1,1,2,2,0,0,0,0,1,0,1,0,0,1,2,0,1,0,0,1,1,2,0,0,1,1,0,1,0,1,1,1,0,2,0,0,0,0,0,1,1,2,0,1,0,1,0,1,2,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,1,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,2,0,1,1,0,0,2,0,1,1,2,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,2,1,1,0,1,0,0,0,0,2,0,1,0,1,0,1,0,0,0,1,1,0,0,1,2,1,0,1,0,2,1,1,0,1,0,1,0,1,0,1,0,1,0,0,2,0,0,1,1,1,0,0,0,0,1,0,2,0,0,1,0,0,0,1,1,2,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,2,0,2,1,0,1,0,0,1,0,1,1,0,0,0,1,0,1,2,1,0,1,2,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,2,0,1,0,0,1,0,0,0,1,1,2,2,1,1,0,1,1,1,0,1,0,0,1,2,1,0,1,0,0,0,0,1,2,0,0,0,1,1,2,0,1,1,2,1,0,0,1,0,1,2,0,0,0,1,1,1,0,0,1,0,0,0,1,1,0,2,1,2,1,2,0,0,2,0,1,1,0,0,0,2,0,2,0,1,0,2,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,2,0,0,2,1,0,2,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,2,0,0,1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,1,2,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0,1 0,0,1,1,1,0,1,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,2,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,2,1,0,0,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0,2,2,0,2,2,0,0,1,0,1,0,1,0,0,0,0,1,1,2,2,0,0,0,2,0,0,0,2,1,0,0,0,0,0,1,2,1,1,0,2,1,0,0,2,2,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,2,1,1,0,0,0,0,1,1,1,0,2,1,0,0,0,0,1,0,0,1,0,1,1,2,0,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,2,0,0,2,2,0,0,1,1,2,0,0,1,0,1,2,0,0,1,0,0,2,2,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,2,1,0,0,0,0,0,1,0,0,1,0,1,2,1,1,2,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,2,0,1,1,0,1,0,1,1,0,1,2,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,1,1,1,0,0,0,1,1,0,0,1,1,1,1,1,0,1,0,1,0,1,1,0,2,1,0,1,2,0,1,1,2,1,0,0,1,0,1,0,2,2,1,0,0,1,0,1,0,0,0,1,0,0,1,0,2,2,0,1,1,0,1,0,0,0,0,2,0,1,2,2,0,0,0,0,0,0,0,2,1,0,0,0,0,1,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,2,1,2,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,1,1,0,0,0,1,1,2,0,1,0,2,0,0,0,1,2,2,1,0,1,0,0,1,1,1,0,1,2,0,0,1,1,0,0,0,2,0,1,1,0,1,0,2,1,0,2,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,2,0,0,1,0,0,0,1,0,0,0,1,0,1,1,1,2,0,1,0,1,0,1,1,1,0,0,1,1,1,0,1,0,1,2,1,1,0,1,0,1,0,0,0,1,2,0,2,1,0,1,1,0,0,2,0,1,1,1,0,1,1,1,1,0,2,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,2,0,0,0,0,2,0,0,1,2,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,2,1,2,0,0,0,1,0,1,0,1,0,0,0,2,0,1,1,2,0,0,2,0,1,0,1,2,0,1,1,0,2,0,1,0,0,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,2,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,1,2,2,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,1,2,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,1,1,2,0,0,0,1,0,2,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,1,1,1,0,1,2,0,0,0,2,0,0,0,1,1,0,0,0,1,0,0,0,0,1,1 1,0,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,2,1,1,1,0,0,0,1,1,1,0,0,2,1,0,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,1,1,2,2,0,0,0,0,1,0,1,0,0,2,1,1,0,2,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,2,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,0,2,0,0,0,0,1,0,0,0,1,0,2,0,1,2,0,0,0,0,1,1,1,0,0,0,0,2,1,0,1,1,0,0,0,0,0,0,2,0,1,0,1,0,1,0,2,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,2,1,1,1,1,0,0,0,0,1,1,1,2,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,0,1,2,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,2,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,2,1,0,1,0,0,0,0,0,1,0,0,2,0,0,1,1,0,0,0,1,1,0,2,0,0,1,1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0,0,2,0,0,0,1,0,2,1,0,1,1,2,1,1,2,0,0,0,1,1,2,0,2,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,2,1,0,1,0,1,0,1,1,1,0,2,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,2,1,2,1,0,1,2,2,1,0,1,0,0,0,2,1,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,2,0,1,1,0,2,0,0,0,0,0,2,1,1,1,0,1,0,1,2,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,2,0,2,2,0,1,1,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,1,2,0,2,1,2,1,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,2,0,2,1,1,0,0,0,0,0,1,0,1,0,2,0,1,0,2,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,2,1,2,0,0,1,1,1,0,1,0,1,0,1,0,0,0,1,1,2,1,1,0,0,1,1,0,0,0,0,0,1,1,2,2,2,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,1,0,0,2,0,0,1,0,0,0,0,1,1,1,0,1,1,0,0,2,1,2,2,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,2,0,0,0,1,1,0,2,0,1,0,0,0,0,2,0,1,2,2,0,0,0,1,1,0,0,0,0,0,1,0,1,2,0,1,0,2,0,0,0,1,0,0,1,0,0,2,1,1,0,0,1,0,0,1,0,1,0,2,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,2,0,0,0,1,0,0,0,0,0,1,1,1,1,1,0,0,0,2,2,0,0,0,1,0,1,0,0,1,2,1,0,0,0,1,1,0,0,0,0,2,0,2,1,2,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,2,0,0,0,1,0,0,2,1,0,0,0,0,2,0,1,0,0,1,1 0,0,1,2,1,0,1,0,0,0,1,1,0,2,1,1,0,2,1,0,0,0,0,0,1,0,1,1,1,1,0,0,1,0,2,0,1,0,0,1,0,1,0,2,0,0,1,0,1,0,1,0,1,0,1,0,2,0,2,1,1,0,0,0,0,0,0,0,1,1,1,0,2,0,0,0,2,1,0,0,0,0,0,2,1,1,2,1,2,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,1,2,0,0,0,0,1,1,1,1,2,2,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,0,0,1,0,2,0,1,0,1,1,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,2,1,1,1,1,0,0,1,1,2,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,2,1,1,0,2,0,0,0,0,2,1,0,0,0,0,0,2,0,0,1,0,1,0,1,0,0,2,2,1,0,1,1,1,0,0,0,0,0,2,1,0,2,0,0,0,0,1,1,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,2,2,1,1,0,2,0,1,2,0,0,0,0,0,2,0,2,0,1,1,0,2,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,2,0,1,0,2,1,1,0,1,0,0,0,2,1,0,0,1,0,1,1,0,1,2,1,0,0,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,2,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,2,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,1,2,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,2,0,0,1,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,0,1,1,0,1,0,2,0,0,0,0,0,1,0,0,0,0,1,2,2,2,0,1,2,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,1,2,0,1,0,1,0,1,2,0,0,2,1,0,2,2,1,0,0,0,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,1,1,0,1,0,0,1,0,0,1,1,2,0,1,0,1,0,1,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,1,1,1,0,2,0,0,1,0,2,1,2,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,2,0,0,1,0,1,0,1,2,0,1,0,1,1,0,0,0,1,0,2,0,2,2,2,1,1,0,0,0,2,0,0,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0,0,1,0,1,2,0,0,0,1,0,1,0,1,0,0,0,1,1,1,1,1,1,0,0,0,2,2,1,0,2,0,2,0,0,0,1,0,2,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,2,1,0,0,0,0,1,0,2,0,0,1,0,0,0,1,2,1,0,0,0,0,1,1,0,1,0,1,0,1,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,0,1,2,1,0,2,0,0,2,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1 0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,2,0,2,0,1,2,0,0,1,0,1,2,1,0,0,2,1,1,0,2,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,2,0,2,0,0,1,0,1,2,2,0,1,0,1,0,1,2,0,0,0,1,0,0,2,0,1,1,0,0,2,0,0,0,0,2,0,0,0,0,1,2,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,2,0,1,0,2,1,1,2,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,2,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,0,1,1,0,0,2,0,0,2,0,2,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0,2,1,1,1,0,2,0,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,2,1,0,0,0,1,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,1,1,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,2,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,2,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0,1,2,0,1,0,0,1,1,0,0,0,2,0,1,2,1,2,0,0,0,2,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,1,1,1,1,0,0,1,0,1,2,1,0,0,1,1,1,1,1,0,1,0,1,1,0,1,0,1,2,0,0,1,0,2,1,1,0,1,1,0,0,0,0,1,1,2,0,0,0,1,1,2,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0,2,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,2,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,2,0,0,1,2,0,1,2,1,0,0,0,0,0,0,1,1,0,0,1,0,0,2,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,0,2,0,1,1,0,0,0,1,0,0,1,0,1,1,1,1,0,1,1,2,1,0,2,1,1,1,1,0,0,1,1,2,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,1,0,2,1,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,1,1,0,0,1,1,0,2,1,0,0,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,1,1,1,2,0,1,0,1,0,0,0,0,1,0,0,1,2,1,1,0,0,1,0,1,2,1,1,1,0,0,0,2,0,1,1,1,0,1,0,0,0,2,0,0,0,0,2,1,0,0,1,0,0,0,0,1,0,1,0,2,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,2,0,0,0,1,0,0,0,1,1,1,1,0,1,0,2,0,0,0,1,0,0,1,1,1,1,2,2,0,2,1,1,0,0,1,1,1,0,1,0,1,0,0,0,2,1,0,0,0,0,1,0,2,0,1,1,0,0,0,0,2,0,0,0,1,0,0,0,0,2,1,1,1,1,0,0,1,0,1,1,0,2,0,1,0,0,1,0,1,1,0,1,2,1,0,0,2,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,2,0,1,2,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,2,0,0,1,1,0,0,1,0,0,1,0,2,1,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,2,2,1,1 0,0,1,0,1,0,1,1,0,1,2,0,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,2,0,1,0,0,0,0,1,0,0,0,0,1,0,2,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,2,0,0,0,0,1,0,1,0,1,0,2,1,1,2,2,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,1,0,2,0,2,0,1,1,1,0,1,0,1,0,2,1,1,0,0,1,0,0,0,0,2,2,2,2,0,0,2,0,0,1,1,1,1,2,0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,2,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,2,1,0,0,0,2,1,0,2,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,1,0,2,1,2,0,1,0,0,2,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,2,0,2,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,2,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,2,1,0,1,2,1,0,0,0,1,1,0,0,0,1,2,1,0,1,0,1,0,0,1,2,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,2,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,1,1,2,0,0,0,2,1,1,0,0,0,0,1,1,0,2,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,1,2,0,0,0,1,2,0,2,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,1,1,0,0,1,0,2,1,0,0,0,0,0,0,2,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,1,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,2,1,1,1,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,2,1,1,1,0,2,1,0,0,1,1,1,2,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,1,2,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,2,0,1,1,2,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,2,0,1,0,2,0,0,0,1,0,0,0,2,0,0,0,0,2,1,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,1,2,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,2,2,0,1,1,0,0,2,0,1,1,2,0,1,1,0,0,1,0,0,0,0,2,2,0,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,2,0,2,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,1,1,1,0,0,1,1,1,1,2,1,0,1,1,0,1,0,1,1,0,1,0,0,1,2,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,2,1,0,0,0,1,1,0,0,0,0,2,1,0,0,1,0,0,0,0,1,1,1,0,2,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,2,1,0,0,2,0,1,1,1,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,0,2,0,0,0,1 0,0,0,1,0,0,0,1,1,1,2,0,0,0,0,1,0,1,0,0,1,0,0,0,2,2,1,0,0,1,1,0,1,1,1,0,1,1,1,0,1,0,2,1,2,0,0,0,0,1,1,0,0,0,2,0,0,0,0,1,1,0,0,1,1,1,0,0,1,1,2,0,0,0,1,0,1,1,0,0,1,0,0,2,1,0,2,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,0,0,0,0,1,1,2,2,1,0,1,1,0,0,1,1,2,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,1,1,1,1,0,1,1,0,2,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,1,1,1,1,0,1,0,1,0,1,1,2,1,1,0,2,0,0,1,1,0,0,1,0,0,0,2,0,2,0,0,2,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,1,0,2,1,1,0,1,1,0,0,0,1,0,0,0,0,1,2,2,0,1,0,0,0,1,2,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,2,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,1,2,0,0,0,1,1,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,2,0,0,1,0,2,0,0,0,0,0,2,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,0,1,1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,1,1,0,1,0,1,1,1,0,1,1,0,0,1,0,2,0,0,0,0,0,1,1,2,1,0,1,1,1,0,0,0,0,0,2,2,2,2,0,0,0,0,0,2,1,1,0,0,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,2,1,1,0,1,0,1,0,0,1,2,1,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1,2,0,2,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,1,1,1,1,0,0,1,1,1,1,2,0,1,1,1,1,2,0,0,2,1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,2,0,0,1,0,1,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,0,1,1,0,0,2,0,0,0,1,1,0,0,1,2,2,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0,1,0,2,1,1,2,0,0,1,0,0,2,1,1,0,1,0,0,1,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,2,0,1,0,1,0,0,0,2,1,1,0,0,1,0,1,0,1,1,1,1,0,0,1,0,2,1,1,0,0,0,0,0,1,0,0,1,2,0,0,0,0,1,1,0,0,0,2,0,0,2,1,2,1,0,0,1,0,1,0,0,0,0,0,1,1,0,2,0,2,1,1,0,0,0,0,1,1,2,1,1,0,0,1,0,1,1,0,2,2,1,0,2,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,2,1,1,0,0,0,0,0,0,1,0,1,1,0,1,1,2,0,0,0,1,0,0,0,1,0,1,2,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0,1,1,0,1,0,2,1,0,2,0,1,0,0,1,0,0,1,1,0,2,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,1,2,0,0,1,0,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,2,0,1,0,0,0,0,0,2,0,1,1,0,1,1 1,0,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,2,0,2,0,1,1,0,0,1,1,1,0,1,1,0,2,1,1,0,1,0,2,2,0,0,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,1,0,2,0,1,1,0,2,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,2,2,0,0,0,0,0,2,0,2,2,0,0,0,0,0,0,2,0,0,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,2,0,1,1,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,2,0,2,0,0,0,1,1,2,0,1,0,0,1,0,0,1,0,0,0,2,1,0,1,1,1,0,2,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,1,2,0,1,0,0,1,0,0,0,0,0,1,1,0,2,0,0,0,1,2,1,1,0,0,0,0,0,1,0,0,0,1,1,2,1,0,0,1,0,1,2,0,0,1,1,1,1,1,1,1,0,0,1,0,1,1,0,1,0,2,1,1,0,0,2,0,0,1,1,2,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,2,1,2,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,1,1,1,2,1,0,0,0,1,0,0,2,0,2,0,1,0,1,0,1,1,1,1,0,0,0,1,1,2,0,0,0,0,1,2,1,0,2,0,2,0,0,0,0,1,2,0,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,0,1,1,2,1,0,1,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,1,1,0,0,1,2,2,1,0,1,0,0,0,0,1,2,0,0,1,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0,2,0,0,0,0,2,1,1,0,0,0,1,1,1,1,0,0,0,0,0,2,2,0,0,0,0,1,1,0,0,1,1,0,1,2,0,0,0,2,0,0,1,1,0,1,1,0,2,1,1,1,2,0,0,1,0,2,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,1,2,0,0,1,1,0,1,1,0,1,1,1,0,0,1,2,0,0,0,1,2,0,0,1,1,0,0,0,0,0,0,2,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,1,1,1,0,1,1,1,0,2,0,1,0,2,0,1,0,0,0,1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,1,0,2,0,1,0,0,0,0,2,0,2,0,0,0,1,0,0,2,1,1,1,2,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,1,1,2,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,2,0,1,0,2,1,1,0,0,0,1,0,0,1,0,1,0,2,1,0,1,1,1,1,0,1,0,2,1,0,1,1,1,1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,2,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,0,1,2,0,0,1,0,0,0,0,0,0,0,1,0,1,1,2,2,0,0,0,0,1,0,1,0,0,0,2,1,0,1,1,1,0,0,1,2,0,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,2,1,0,0,2,0,0,2,0,0,0,0,0,1,1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,2,0,1,0,1 1,0,1,0,2,0,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,1,2,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,2,0,1,0,2,0,1,0,0,0,1,0,0,1,0,0,0,2,0,0,1,1,1,2,0,1,1,2,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,2,1,0,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,2,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,2,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,1,1,0,0,0,1,0,0,1,2,1,1,2,0,0,1,1,1,1,1,1,1,2,0,1,0,0,0,1,0,0,0,2,1,0,1,0,2,1,2,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,2,1,0,0,0,1,2,0,2,0,0,1,1,0,0,1,0,2,0,0,1,1,1,0,1,0,2,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,2,0,0,1,1,1,1,1,0,2,0,1,2,1,0,0,0,0,0,0,1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,2,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,2,0,1,0,0,2,2,0,0,0,0,0,1,0,1,1,1,0,1,1,0,2,2,1,0,0,0,0,2,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,1,1,1,1,0,1,1,1,0,0,0,1,1,2,1,1,1,0,1,0,2,1,1,0,2,1,0,0,1,0,1,0,2,0,0,1,0,2,0,1,1,0,1,1,0,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,1,1,0,0,0,0,0,0,0,1,0,1,2,0,0,0,1,0,1,1,0,0,0,1,1,1,2,0,1,1,2,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,2,1,1,0,1,0,0,0,0,0,0,1,0,0,2,0,1,0,0,2,0,0,1,0,2,1,0,1,1,0,1,0,0,2,0,0,0,2,0,1,0,2,1,0,0,1,2,0,0,0,1,1,0,0,0,1,0,1,1,0,0,1,0,2,1,1,1,1,0,0,0,1,1,1,0,0,1,0,2,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,1,1,1,0,1,0,2,0,0,2,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,1,0,1,1,1,2,0,1,0,2,0,0,1,0,0,1,1,0,1,0,0,1,0,2,2,1,0,1,0,0,0,0,1,0,2,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,2,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,1,0,0,0,1,1,0,1,0,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0,2,0,0,0,0,1,0,2,0,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0,0,2,0,1,1,1,0,0,1,1,2,2,0,0,2,1,0,0,0,1,0,1,0,0,0,2,0,0,0,1,0,0,1,1,0,0,0,0,1,1,0,2,1,2,0,0,0,1,0,0,0,0,2,0,2,1,0,2,0,0,0,0,0,1,2,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,1,2,0,1,2,0,1,0,0,0,0,1,2,0,0,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0,2,1,0,0,1 1,0,1,0,1,1,0,0,1,0,2,0,0,0,2,0,1,0,2,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,2,1,1,1,1,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,2,2,1,0,0,1,0,0,0,0,0,0,0,2,1,1,0,0,0,1,1,1,0,0,1,2,0,0,1,1,0,0,0,0,0,2,0,1,1,1,1,0,0,1,1,0,0,0,2,0,2,0,0,1,1,1,0,0,1,1,1,0,1,0,2,0,0,0,0,1,0,0,2,0,0,0,2,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,2,0,1,0,0,2,0,2,0,0,1,2,0,1,0,0,1,1,2,1,0,0,0,0,0,0,1,0,1,2,0,1,0,1,0,1,0,2,0,0,0,2,0,1,1,1,1,0,0,0,1,0,1,0,0,2,2,0,0,0,0,1,1,2,1,0,0,1,1,1,0,0,0,0,1,2,1,1,1,0,2,2,2,0,1,2,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,2,2,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,1,0,1,2,0,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0,2,0,2,0,0,1,0,0,1,1,1,0,1,0,0,2,0,1,1,0,0,0,0,0,0,2,0,1,0,0,0,1,1,0,0,0,2,0,0,1,0,0,0,0,0,1,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,0,2,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0,2,0,0,0,1,1,0,2,0,0,1,0,1,1,0,2,1,0,2,1,2,1,1,0,0,0,0,1,2,0,1,0,1,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,2,0,1,0,0,0,1,0,0,0,0,1,1,1,0,2,0,0,0,0,0,0,0,1,0,2,0,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,2,1,0,2,0,0,0,0,2,0,2,1,1,1,1,1,0,0,1,1,0,2,1,1,0,0,0,1,2,0,1,1,1,0,1,1,0,1,0,1,1,1,1,2,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,2,1,0,1,0,0,1,0,1,0,1,0,0,2,0,2,0,1,1,1,0,1,1,0,0,1,1,1,0,2,1,1,0,1,1,1,0,2,0,0,0,2,0,0,0,0,1,0,1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,2,0,1,0,0,1,0,2,0,2,0,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,1,2,0,0,1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,2,1,2,1,0,1,0,0,1,2,0,1,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,2,1,2,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,2,1,0,2,0,1,0,1,2,1,0,1,0,0,1,1,0,0,1,2,0,0,0,1,0,0,0,0,0,2,0,1,0,1,1,0,1,2,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,2,0,1,1,0,0,0,1,0,0,2,0,0,1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0,1,1,1,0,0,1,0,2,0,1,0,1 1,0,0,2,0,0,1,0,1,1,1,1,1,2,0,1,0,2,2,0,0,0,0,0,1,1,2,0,2,1,1,0,0,1,0,0,0,1,0,1,0,1,1,2,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,2,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,1,1,1,1,2,2,0,0,0,0,1,0,1,0,1,1,0,2,2,2,0,0,0,1,0,1,1,0,1,2,0,0,0,1,2,1,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,1,1,0,1,1,2,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,2,1,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,2,0,1,1,2,0,0,1,0,1,2,0,0,0,0,1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,2,2,2,0,2,1,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,1,0,2,0,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,2,0,0,0,2,0,1,1,0,0,0,1,2,0,0,0,0,1,1,1,0,0,0,0,0,2,0,0,0,1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,2,0,0,0,0,1,1,1,0,1,2,0,0,1,0,0,0,0,0,1,0,0,1,0,0,2,2,1,0,0,1,1,0,0,2,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,1,0,1,0,1,0,0,1,0,1,0,0,1,1,1,2,1,0,1,0,0,1,0,2,0,1,0,1,0,2,0,1,0,0,0,0,0,1,0,0,1,1,0,2,0,2,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,0,2,0,1,1,0,0,1,2,1,0,0,0,1,0,0,0,2,0,1,0,0,1,0,0,1,1,1,1,2,0,0,0,1,0,1,1,0,1,1,0,0,2,0,1,0,0,0,1,1,0,0,0,0,0,2,0,0,1,0,1,0,1,0,2,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,2,2,0,0,0,1,2,1,1,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,1,1,1,1,1,0,0,0,2,1,1,1,0,0,2,1,1,0,2,0,0,2,1,1,0,0,0,0,1,0,1,1,1,1,0,0,1,0,1,2,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,2,0,1,2,0,1,2,0,0,0,1,1,1,0,0,1,2,1,0,1,0,0,0,2,0,1,0,0,0,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0,2,0,0,1,1,1,1,1,0,0,1,2,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,1,0,1,0,1,1,2,1,1,0,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1,0,0,2,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,1,1,0,1,1,0,1,1,1,0,0,1,0,2,0,2,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,2,0,0,1,1,0,2,1,1,1,0,0,0,0,0,1,0,2,0,1,1,0,0,0,0,0,0,2,2,0,0,0,0,1,0,0,0,1,1,1,0,0,2,1,0,0,0,0,0,0,2,1,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,2,0,0,2,1,2,0,0,0,1,2,1,0,1,0,0,0,0,1,0,0,1,1,2,0,1,0,0,2,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,2,0,0,1,0,0,0,1,0,1,0,0,0,0,2,1,1,1,0,1,1,0,1,0,0,1,2,0,1,0,0,1,2,1,0,1 1,0,0,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,2,0,1,2,0,1,2,2,0,1,0,0,0,1,2,0,1,2,1,0,1,2,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,1,0,1,0,2,2,0,0,0,0,0,0,1,0,0,1,1,0,0,0,2,0,1,1,0,0,1,0,0,0,1,0,1,2,2,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,1,0,1,1,0,2,0,1,0,0,2,0,0,0,0,1,2,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,1,0,0,2,0,1,2,0,2,1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,1,0,0,0,2,2,1,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0,2,0,0,2,1,2,0,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0,2,2,1,0,1,1,0,1,2,0,2,0,0,2,0,1,2,0,0,0,0,0,2,2,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0,2,0,0,1,0,1,0,0,1,0,2,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,2,2,0,1,2,1,0,1,2,0,0,0,1,0,2,2,0,0,1,0,0,2,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,2,1,2,1,0,1,0,1,0,0,2,1,1,0,2,1,2,1,1,0,1,1,1,2,0,1,1,2,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,1,1,2,0,0,0,1,0,0,2,0,2,0,0,2,0,1,0,0,0,0,0,2,0,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,2,1,1,0,0,0,2,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0,1,2,1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,2,0,0,0,1,2,1,0,0,2,0,0,2,0,0,1,1,0,0,0,1,0,0,0,0,1,2,1,2,0,0,0,2,0,1,1,1,0,2,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,1,2,0,2,1,1,0,1,2,1,0,1,0,0,0,1,1,1,0,0,1,0,1,2,0,1,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,2,0,1,0,1,0,1,1,1,0,0,0,2,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,2,1,0,1,0,0,0,0,1,0,1,2,0,1,1,0,1,1,1,1,2,0,0,0,0,0,0,0,1,1,1,0,0,0,0,2,0,0,0,0,0,1,1,1,1,1,0,2,0,0,0,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,2,1,0,0,2,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,1,2,1,1,0,1,1,2,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,1,0,0,0,0,1,2,1,1,1,0,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,1,2,0,0,1,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,1,2,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1 1,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,2,0,0,2,0,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,2,2,0,2,1,0,1,0,1,1,1,0,0,0,1,0,2,2,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,2,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0,1,2,1,1,0,0,0,0,2,0,2,0,1,0,0,0,0,0,0,1,1,0,0,1,2,0,0,0,1,2,0,0,0,0,0,0,1,0,1,1,0,0,2,0,1,0,1,0,0,1,0,2,0,1,0,1,0,1,1,1,2,0,0,2,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,2,0,1,1,1,0,2,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,2,0,0,2,1,1,1,0,0,0,1,0,1,2,0,1,0,0,1,1,1,1,0,0,0,0,1,0,2,0,0,0,1,0,1,0,0,1,0,1,0,1,2,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,2,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,2,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,2,0,0,1,2,0,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,2,0,0,0,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,0,1,1,2,0,0,1,0,0,0,0,0,1,1,0,1,1,1,1,1,2,0,1,1,0,0,0,1,1,1,0,1,0,0,2,1,0,1,0,1,0,1,0,1,2,1,1,0,1,0,0,2,0,0,1,0,0,1,0,0,0,1,0,0,2,0,0,1,2,0,0,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,2,1,0,1,1,0,2,2,0,0,0,1,1,0,0,0,1,1,1,0,1,0,2,0,0,0,1,0,1,0,0,1,0,0,1,2,0,0,0,2,0,0,1,2,0,0,0,0,0,2,1,0,0,2,0,1,0,1,0,0,1,1,1,1,1,0,2,0,0,1,0,2,1,1,0,1,2,1,2,1,1,1,1,2,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,1,2,1,1,0,2,1,1,1,2,2,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,1,1,1,0,1,1,0,1,1,1,1,2,1,0,0,0,0,0,0,2,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,2,0,1,1,0,0,0,0,2,0,2,1,2,0,0,2,0,0,1,0,0,1,0,0,1,2,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,2,1,0,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,2,2,0,0,0,1,1,1,0,1,0,2,1,0,0,1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,1,2,0,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,1,2,0,0,1,2,0,0,0,1,0,1,2,0,0,0,1,0,0,1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,2,0,1,1,1,0,0,0,1,1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,2,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,2,1,0,0,1,0,0,2,1,2,2,0,0,1,2,1,1,1,0,0,0,0,0,2,1,1,1,0,0,0,0,0,0,1,1,2,1 1,0,1,1,1,0,0,0,0,1,1,0,0,1,2,1,0,1,0,0,0,0,0,0,1,1,1,2,0,1,1,0,2,1,0,0,0,1,0,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,1,2,0,1,0,0,0,2,0,1,2,0,1,1,0,0,0,2,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,2,1,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,2,2,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,1,0,2,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,2,1,0,1,2,2,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,2,2,1,1,2,2,1,0,0,0,0,2,1,0,0,1,1,0,0,1,0,0,2,0,1,2,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,2,1,1,0,0,1,1,1,0,0,0,0,2,1,2,0,0,0,0,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,1,1,0,1,0,1,2,1,1,1,0,0,0,0,0,0,2,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0,0,2,0,2,0,0,2,1,0,1,1,0,0,0,0,1,2,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,2,1,0,0,0,0,2,2,1,2,1,1,1,0,0,2,0,1,0,0,0,0,1,1,0,1,0,2,0,1,0,1,2,0,2,2,1,1,0,0,0,0,2,2,0,0,0,0,2,0,2,0,0,0,1,1,2,0,1,1,0,0,1,0,0,0,2,1,1,0,2,0,0,1,0,0,0,0,1,1,0,2,0,0,2,0,0,1,1,0,1,0,0,0,2,0,0,1,2,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,2,0,0,2,0,2,0,2,0,2,0,0,0,0,1,1,0,1,0,1,0,2,0,0,0,2,1,1,0,0,0,0,2,1,1,2,1,0,0,2,1,0,0,0,0,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,2,2,0,1,1,0,0,0,1,1,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,1,2,1,1,0,1,1,1,0,1,2,0,0,1,0,0,1,1,0,0,1,2,0,0,0,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,2,2,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,0,1,1,2,0,0,0,1,0,0,0,1,0,1,1,2,1,0,0,0,0,0,1,2,1,0,0,1,1,1,2,1,2,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,1,1,1,1,1,2,1,2,0,0,0,0,0,0,1,1,1,0,0,0,1,2,1,2,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,1,1,1,0,1,2,1,2,1,0,0,0,0,1,2,1,0,2,1,1,0,1,0,1,0,0,0,0,2,1,0,0,2,1,0,1,1,1,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,0,0,0,0,0,1,0,2,2,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,1,0,0,2,1,1,1,1,0,2,1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,2,0,1,2,2,2,0,0,1,0,0,1,0,0,0,1,0,2,0,0,1,1,0,0,2,0,2,1,0,1,0,0,0,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1 1,0,2,2,1,0,0,1,1,2,1,1,1,1,1,1,0,1,0,0,1,0,1,1,0,2,2,0,1,0,1,0,1,0,1,0,0,1,0,0,2,1,0,1,1,0,0,1,0,0,2,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,2,0,1,1,0,1,1,2,0,0,1,0,0,2,2,2,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0,1,0,2,1,0,0,1,1,1,0,0,0,2,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,2,2,0,1,0,1,0,1,1,0,1,0,2,2,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,1,1,2,0,2,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,2,1,0,0,0,1,2,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,2,0,2,0,0,1,0,0,0,0,0,0,2,0,2,2,1,1,0,0,0,0,0,1,1,0,0,2,0,0,1,2,1,1,0,1,0,1,2,0,0,0,0,0,1,1,2,0,0,0,1,1,1,0,0,1,1,1,1,2,0,0,1,0,1,1,0,0,1,2,0,1,1,1,0,0,1,0,2,0,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,2,1,0,0,1,1,0,0,0,0,0,0,2,1,1,1,1,2,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,2,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,1,2,1,0,0,0,1,0,0,0,2,1,1,0,0,1,0,0,1,0,1,1,2,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,2,1,2,0,1,0,0,0,1,1,0,0,0,1,0,0,0,2,0,0,0,0,1,1,0,0,2,0,0,1,0,0,2,2,0,0,0,2,0,1,1,0,0,0,0,1,0,0,1,2,0,0,0,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,2,0,0,0,1,0,0,2,0,1,1,0,0,1,2,2,1,0,0,1,0,0,2,1,1,2,0,1,0,0,2,1,0,0,2,0,1,1,0,0,1,1,0,2,1,0,2,0,0,0,2,1,2,0,0,0,1,0,2,1,1,0,1,0,0,1,0,0,2,0,1,1,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,2,0,1,0,2,0,0,2,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0,2,0,1,0,2,2,1,0,2,0,2,0,1,2,0,1,1,0,0,2,1,0,1,1,1,2,0,2,0,0,1,2,0,2,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,1,1,2,0,0,0,0,0,2,0,1,2,1,2,0,0,1,0,1,1,1,0,1,0,1,0,0,2,0,0,0,0,2,0,0,2,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,1,1,1,1,0,2,0,0,0,0,1,1,2,0,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,2,1,2,1,0,0,0,2,1,0,0,0,1,0,0,0,1,1,2,1,0,1,0,0,0,2,0,0,0,0,1,0,0,2,0,1,1,0,0,1,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,1,0,0,0,2,0,0,1,1,2,0,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,2,1,1,0,0,2,1,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,2,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,2,0,0,1,0,1,2,0,2,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,1,1,1,0,1 1,0,1,0,1,0,0,0,0,2,0,2,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,2,0,1,0,0,0,1,0,1,0,2,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0,1,1,2,0,1,0,0,1,1,0,0,1,0,0,0,2,0,0,0,0,1,0,1,1,0,0,1,2,1,0,1,0,0,1,0,1,2,0,0,1,0,0,1,2,0,2,0,1,1,0,0,0,1,2,1,0,0,1,0,0,2,1,0,0,1,2,0,0,0,1,0,0,1,0,0,1,1,1,1,1,0,0,2,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,1,1,1,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,1,1,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,2,0,0,1,0,0,1,0,1,1,1,1,0,2,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,1,1,1,0,1,0,1,2,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,1,1,0,2,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,1,1,1,0,0,2,0,0,0,0,2,1,0,0,1,0,1,0,1,1,0,0,2,2,1,0,2,1,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,1,2,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,2,1,0,0,0,1,0,0,1,0,0,1,2,0,1,2,0,2,1,1,1,0,2,1,0,0,0,1,2,0,2,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,2,1,2,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,2,0,0,1,2,0,1,1,0,0,0,2,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,2,1,0,2,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,2,0,2,0,0,0,0,0,0,2,0,2,0,1,0,0,1,1,2,0,1,1,0,1,0,0,0,1,0,1,1,0,0,2,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,1,1,0,1,0,1,0,2,1,0,0,2,1,2,0,1,1,0,1,2,0,0,1,0,0,0,1,1,0,0,1,0,1,1,0,0,2,0,1,0,2,0,1,1,0,1,0,0,1,0,2,0,1,1,0,0,0,1,0,0,1,2,0,1,1,1,1,0,0,2,0,1,0,1,0,1,0,2,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,2,0,1,0,0,1,0,1,0,2,0,1,0,0,1,0,2,0,2,0,0,0,0,0,1,0,0,1,0,2,1,1,0,0,0,0,0,0,1,1,2,0,1,0,1,1,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,2,1,1,1,1,1,1,2,0,0,1,0,1,2,1,1,2,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,2,0,0,1,0,2,1,1,1,1,2,1,0,0,0,0,0,0,1,0,1,2,1,0,2,0,1,0,0,0,0,1,0,0,2,1,0,0,0,2,0,1,2,0,0,1,1,0,0,1,0,1,1,1,2,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,1,1,0,1,1,0,2,0,1,0,0,0,1,0,1,1,0,2,0,1,1,0,2,0,1,0,2,1,0,0,0,0,1,0,0,0,0,2,0,0,1,1 0,0,1,0,1,1,1,0,2,1,2,1,1,2,2,0,1,1,1,0,0,0,1,0,1,1,0,2,0,2,0,0,2,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,2,1,0,2,0,1,1,0,0,0,2,0,0,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,2,0,0,1,0,1,1,0,0,0,0,1,1,1,0,1,1,1,1,1,0,1,2,0,0,0,0,0,0,1,1,0,0,1,0,2,0,0,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,2,2,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,0,2,0,0,2,1,0,0,0,2,0,0,1,0,0,1,0,0,1,0,0,1,2,1,0,1,0,1,0,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,2,1,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,1,1,0,0,1,2,1,0,0,0,0,0,2,0,1,0,0,0,0,1,1,0,0,0,2,0,0,1,1,0,0,1,0,0,0,0,1,2,1,1,1,0,1,1,0,2,0,0,1,0,0,0,0,1,0,2,0,1,0,0,0,1,0,0,0,0,1,1,2,0,1,0,0,1,0,1,0,0,2,1,1,0,1,0,2,0,0,0,0,1,0,1,1,0,0,1,2,0,1,0,1,2,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,1,2,1,0,0,0,0,0,0,1,0,0,0,1,1,0,2,0,1,0,0,2,0,0,0,0,2,1,1,0,0,1,0,1,0,0,0,0,2,0,0,0,1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,1,0,0,0,1,0,0,0,0,0,0,1,2,2,1,1,0,0,0,0,1,0,0,0,2,1,1,1,0,1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,1,1,1,0,0,1,1,1,1,0,1,1,0,0,2,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,1,1,1,0,2,2,0,0,2,2,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,2,0,1,0,0,0,1,0,0,0,0,1,0,1,0,2,0,0,1,2,2,1,0,2,0,0,0,0,0,1,1,0,0,0,1,0,0,2,1,0,1,0,1,2,0,0,0,1,0,2,0,1,0,2,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,1,2,0,0,0,1,0,1,0,2,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0,1,1,1,2,1,1,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,2,1,0,1,2,0,2,1,0,0,0,0,0,0,0,0,1,0,1,1,2,1,1,0,0,0,0,0,1,2,1,1,1,2,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,2,0,0,2,0,0,0,1,2,2,1,1,0,0,1,1,0,1,2,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,1,1,0,0,1,0,2,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,2,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,2,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,2,1,2,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1 0,0,1,1,1,0,0,0,1,1,2,1,1,1,0,0,0,2,0,0,0,0,1,0,1,2,0,2,0,0,0,0,2,0,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,2,0,0,0,0,2,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,2,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0,2,1,2,0,0,0,1,0,1,1,1,1,1,1,0,0,2,2,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,2,2,0,0,1,0,1,1,0,0,1,2,0,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0,2,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,1,0,2,1,1,0,1,0,1,2,0,0,0,2,0,2,1,0,0,1,0,1,0,2,1,0,1,0,2,2,0,0,1,0,0,0,0,1,1,0,0,0,0,1,2,0,2,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,2,0,0,1,1,2,0,2,0,0,0,1,2,0,0,2,1,0,0,0,1,2,0,1,0,1,0,1,1,0,1,2,0,1,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,2,0,0,1,0,1,0,0,1,1,1,0,1,1,1,1,0,1,1,2,0,1,1,0,0,1,0,2,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,2,0,1,1,1,2,0,0,1,0,1,0,0,1,0,1,0,0,1,2,0,2,0,2,0,0,0,1,0,1,0,0,0,0,1,1,2,1,1,0,1,0,0,0,0,1,0,1,2,0,1,0,2,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,1,1,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,1,2,0,2,1,0,0,0,0,0,2,0,0,0,1,0,1,0,2,1,1,0,0,0,1,2,0,2,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,2,1,2,0,1,0,1,0,0,0,1,1,2,1,1,0,1,1,0,1,0,2,1,1,2,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,1,1,0,1,0,1,2,1,0,1,0,1,0,1,2,0,0,1,0,1,0,1,1,1,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,2,0,1,1,1,1,0,0,1,2,0,1,1,0,1,0,0,2,0,1,1,1,0,2,0,0,0,1,1,2,1,0,1,0,1,0,0,0,0,0,0,0,2,2,0,1,0,1,0,0,0,0,2,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,1,1,1,0,2,1,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,2,1,2,0,0,0,0,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0,0,1,2,0,0,1,0,1,1,1,2,2,1,0,1,0,0,1,1,1,2,1,0,0,1,1,0,0,0,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,2,0,0,2,1,0,0,2,1,0,1,0,0,0,0,2,2,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,2,1,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1 0,0,2,1,0,1,0,0,0,0,0,1,1,1,1,0,0,2,1,0,0,0,0,0,2,1,1,0,0,0,2,1,1,0,0,0,0,0,1,0,1,2,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,1,1,2,0,0,0,0,2,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,1,0,2,0,1,1,0,1,1,0,0,0,0,1,2,2,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,1,2,1,0,1,0,0,0,0,1,1,0,0,0,2,2,1,0,1,1,0,1,0,0,1,0,0,2,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,2,0,1,0,2,1,0,2,0,0,2,0,0,0,1,0,0,0,0,0,0,2,0,1,0,1,2,2,0,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,1,0,0,2,0,0,0,1,1,2,1,0,0,0,0,0,1,0,1,0,0,0,2,2,1,1,0,0,1,2,1,0,0,1,1,0,0,1,0,0,1,0,2,0,0,2,0,2,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,2,0,0,2,0,0,1,0,1,1,1,0,0,2,0,0,0,0,1,2,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,2,0,0,0,1,2,0,0,2,0,2,1,0,2,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,2,0,1,0,0,0,2,0,1,0,0,0,2,0,1,0,0,1,0,1,1,1,0,1,0,2,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,2,0,2,0,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0,2,2,1,0,0,2,2,0,0,2,0,2,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,1,1,0,1,1,0,2,1,2,1,0,0,0,0,2,0,0,0,1,0,0,0,0,2,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0,1,2,0,0,1,0,0,1,1,1,1,0,0,0,0,1,2,0,0,0,0,0,0,1,1,0,2,1,1,2,0,0,0,1,1,0,2,1,0,2,1,0,1,2,1,1,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,1,1,1,1,2,0,1,1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,2,1,0,0,1,0,0,2,1,1,1,0,1,2,0,0,0,0,0,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,2,1,1,0,2,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,2,1,1,1,0,1,0,2,0,1,2,0,2,2,2,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,0,1,1,0,0,1,1,0,2,2,0,2,1,1,0,0,1,0,2,0,1,0,2,1,0,0,1,0,0,0,1,1,1,1,2,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,1,2,0,0,0,0,0,0,1,1,0,2,1,0,0,0,0,1,1,1,0,0,1,1,0,1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,2,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,2,1,1,0,0,1,1,1,2,0,0,0,0,0,1,0,0,0,0,1,0,1,0,2,0,0,0,2,1,2,0,0,1,0,0,0,0,2,0,0,1,1,0,0,2,1,0,0,1,1,1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,1,1,1,1,1,1,1,2,0,2,0,1,0,0,0,0,0,1,0,1,0,1 1,0,1,0,0,1,0,0,0,1,1,1,0,2,1,2,0,1,1,1,0,0,2,1,0,0,1,0,0,1,2,0,1,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,2,0,2,0,2,0,0,1,1,0,0,1,0,2,1,1,0,1,2,1,0,0,1,1,1,1,0,0,2,0,2,1,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,2,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,2,1,1,0,0,0,0,0,1,2,0,0,1,1,1,1,0,0,1,0,0,1,0,1,2,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,1,2,1,1,1,0,1,2,1,0,0,1,1,0,0,0,0,1,0,2,1,2,1,0,0,1,1,1,0,1,2,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,2,0,1,2,0,0,2,1,1,0,0,1,1,1,0,2,1,1,0,2,1,0,0,0,2,0,1,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,2,0,1,1,0,0,0,0,0,0,1,1,2,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,2,2,1,2,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0,2,0,1,0,0,2,0,1,0,1,0,0,0,1,0,1,0,1,2,1,1,1,0,1,0,1,1,1,0,1,1,1,1,1,1,0,1,0,2,0,2,0,1,1,0,0,1,0,0,1,1,0,0,0,0,2,2,0,0,0,2,0,0,0,1,1,1,0,1,1,0,0,0,2,1,1,0,0,1,2,1,0,0,1,1,0,2,0,1,2,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,1,1,1,0,1,0,0,0,2,1,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,2,1,1,0,0,1,0,0,0,2,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,1,0,2,2,1,2,2,1,1,0,1,2,0,0,0,0,1,0,0,0,1,0,1,1,0,0,2,1,1,1,0,2,0,0,0,2,0,0,0,0,1,1,0,0,1,1,0,1,2,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,2,0,0,0,1,1,2,1,0,1,0,0,2,1,1,1,1,1,2,0,1,2,2,0,1,0,1,0,0,0,0,1,2,1,0,2,0,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,2,0,0,0,2,1,1,0,2,1,1,0,0,1,0,0,1,1,1,0,0,0,1,1,0,2,0,1,0,1,0,1,0,0,0,1,0,0,2,0,1,1,0,1,1,2,0,1,1,0,2,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,2,1,0,1,0,0,0,0,0,1,1,1,1,0,0,1,1,0,1,0,1,1,1,1,0,0,0,1,1,1,2,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,2,0,1,0,0,0,0,1,0,1,1,0,1,1,0,0,1,2,1,0,0,0,1,1,0,1,0,0,2,1,0,0,1,1,0,0,1,0,1,0,0,0,2,0,1,1,1,0,2,1,1,2,0,0,0,0,2,0,1,1,1,0,0,0,1,0,0,1,0,0,2,1,1,0,0,0,0,0,1,0,1,1,0,1,0,1,1,0,1,1,1,1,1,0,0,1,2,1,0,1,0,0,1,1,1,1,0,0,0,0,2,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,2,1,1,0,1 0,0,0,2,0,2,0,0,0,1,2,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,2,0,0,1,1,1,2,0,1,0,0,0,1,1,2,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,2,2,1,2,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,2,1,0,0,1,0,2,1,0,0,0,0,0,1,0,1,1,1,0,2,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,1,2,0,0,0,0,0,1,0,0,0,0,1,1,2,0,0,0,2,0,0,0,1,1,2,0,1,2,0,0,2,0,0,0,2,0,1,2,0,0,0,0,0,0,2,0,1,1,1,1,0,2,0,0,0,2,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,2,2,1,1,1,1,0,1,2,1,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,1,2,1,1,1,2,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,2,1,0,0,0,2,0,2,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,2,0,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,2,0,1,0,2,1,2,0,0,1,1,1,0,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0,2,0,0,0,0,0,1,0,2,1,1,2,2,1,1,0,1,0,1,0,0,0,1,1,1,1,0,1,0,2,0,2,1,0,0,1,1,1,2,0,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1,1,2,1,0,2,0,1,1,2,0,0,1,2,1,1,0,1,1,1,0,2,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,2,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,2,1,1,1,0,0,0,1,1,1,0,1,0,1,1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,1,1,0,1,1,0,2,1,2,1,0,2,0,0,2,0,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,2,0,1,0,1,1,0,0,2,0,1,0,1,1,0,2,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0,2,0,0,0,2,0,1,0,1,1,0,1,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,2,1,1,0,1,1,1,0,0,1,1,0,2,1,1,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,2,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,2,0,0,0,1,1,0,0,0,0,1,2,0,1,0,0,0,0,2,0,0,0,0,1,1,0,2,1,0,0,0,1,2,1,2,1,0,2,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,2,0,0,1 0,0,1,1,2,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,1,0,2,1,1,0,1,0,0,2,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,1,0,0,1,1,0,1,0,2,1,0,2,0,0,2,1,0,0,0,0,0,0,0,0,1,1,0,2,0,1,2,0,1,1,0,0,0,1,0,0,0,1,0,1,1,1,1,1,2,0,1,0,0,0,0,0,1,0,1,1,2,0,2,0,0,0,1,0,1,1,0,1,2,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,2,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0,2,0,1,1,0,1,0,2,0,0,0,0,2,1,0,0,2,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,1,0,1,1,1,0,1,2,1,0,1,0,0,1,0,0,0,0,2,0,2,1,2,1,0,2,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,2,2,0,1,0,1,1,0,0,0,2,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,1,1,0,0,0,1,0,0,2,0,1,0,1,0,2,1,0,2,0,1,0,0,1,0,1,1,2,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,2,0,0,1,0,0,1,1,1,2,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,2,2,2,0,0,0,2,0,0,1,0,0,1,0,0,1,1,2,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,1,2,1,1,0,1,0,0,1,1,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,1,1,0,0,0,0,1,0,2,0,0,1,0,0,1,2,1,0,1,0,0,1,1,0,0,1,1,1,1,2,1,0,0,0,1,1,2,1,0,1,1,0,1,1,0,2,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,2,0,0,1,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,2,0,1,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,2,2,0,1,0,0,0,0,0,1,0,0,0,0,0,2,2,0,0,2,0,1,2,0,0,1,0,1,1,1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,1,2,1,1,1,1,0,0,0,1,2,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,2,1,1,0,0,2,0,2,0,1,1,0,0,2,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,2,1,1,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,2,1,1,2,2,0,0,0,0,0,1,1,2,2,0,0,1,0,0,0,0,2,2,1,0,1,2,0,0,0,0,1,0,0,1,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,2,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1 0,0,1,1,0,1,0,0,1,2,1,0,0,1,2,0,0,0,2,0,0,0,0,1,0,1,1,1,0,1,1,0,0,0,0,0,2,0,0,0,1,2,1,1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,1,2,0,0,1,1,0,0,0,0,2,0,0,0,1,0,1,0,0,2,0,0,0,1,1,0,0,0,0,1,1,1,1,1,0,1,0,1,1,0,0,1,1,2,0,1,1,1,0,2,1,0,0,0,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,2,0,1,0,0,1,1,1,0,0,1,1,1,0,1,1,0,2,0,1,0,1,0,0,0,0,1,1,0,2,1,2,1,0,0,0,0,1,0,2,1,0,0,0,0,1,0,2,0,0,2,0,0,1,0,0,1,0,1,0,1,0,2,2,1,2,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,2,2,1,0,1,2,1,1,0,0,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,2,1,1,0,0,0,1,0,0,1,0,0,0,2,2,1,1,0,2,1,1,0,0,0,1,0,0,0,2,0,0,1,1,0,1,2,1,2,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,2,1,0,0,1,0,0,0,0,1,0,1,1,0,1,0,1,0,0,1,2,0,0,1,1,1,0,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,2,0,0,1,1,1,1,0,0,0,1,0,1,0,2,1,0,1,0,1,1,1,0,0,0,0,0,0,1,1,2,0,0,0,0,2,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,2,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,1,1,1,0,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0,2,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,2,1,1,0,1,2,1,0,2,0,0,0,1,2,0,0,0,0,0,1,0,0,2,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,1,1,0,0,1,1,0,0,1,2,0,0,2,1,0,1,0,0,0,1,0,1,1,1,0,0,1,2,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,1,0,1,1,1,2,1,1,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,2,2,1,0,2,1,0,0,1,0,0,2,1,0,0,1,0,2,0,0,0,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,2,1,1,0,0,0,0,2,1,0,0,0,1,1,2,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,0,2,1,0,1,1,0,0,0,0,0,2,0,0,0,0,0,1,0,2,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,2,0,0,0,2,1,1,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,2,0,0,2,1,0,0,0,1,0,0,1,0,0,2,1,1,0,1,0,0,0,1,0,1,0,1,2,2,1,0,0,1,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,1,1,0,1,2,1,1,0,1,0,1,0,0,0,2,0,0,1,0,1,0,0,1,0,1,1,0,0,1,0,2,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,2,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,1,1,0,0,0,1,0,0,2,1,0,0,1,0,0,2,0,1,2,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,1 0,0,1,1,0,0,0,2,2,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0,2,0,1,1,0,2,1,0,0,1,1,0,0,0,0,0,2,0,0,2,0,1,1,1,1,0,0,1,1,0,0,2,0,0,2,0,2,1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,2,0,1,1,1,0,0,1,0,0,2,2,0,0,0,0,1,0,0,2,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,2,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,2,0,1,0,2,0,0,0,2,0,0,2,0,1,2,0,0,0,1,1,1,1,0,1,2,1,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,2,0,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,2,0,2,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,2,2,1,2,1,1,0,0,1,0,1,2,0,0,0,2,0,1,0,0,0,0,1,1,0,0,0,0,0,2,1,0,0,1,0,1,0,2,0,0,1,0,0,2,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,1,1,0,0,1,2,0,0,0,1,0,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,2,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,2,1,0,0,1,0,2,0,1,1,0,1,2,0,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,2,1,0,0,1,0,2,0,2,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,2,0,0,1,0,1,0,1,1,0,1,1,1,0,1,0,2,0,1,0,0,1,2,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,2,0,2,0,0,1,1,0,1,1,0,1,0,1,0,1,0,1,2,2,1,0,0,0,0,0,1,2,1,0,1,0,2,2,1,0,1,0,1,0,2,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,2,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,2,0,2,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,1,2,0,1,0,1,1,2,0,0,0,1,0,2,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,1,1,0,0,1,0,0,2,1,1,2,0,0,2,1,1,1,0,1,1,0,0,1,1,2,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,2,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,2,1,0,1,0,2,0,1,0,0,0,0,2,0,0,1,1,1,1,0,0,2,0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,2,0,0,1,1,0,0,0,1,0,1,1,1,0,0,0,2,0,0,2,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,2,0,1,0,0,1,1,0,0,0,0,0,0,1,1,1,1,0,0,1,1,0,1,0,2,1,0,0,1,1,0,0,0,1,0,1,0,0,0,1,0,1,2,0,1,0,0,2,0,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1 0,0,0,1,0,0,0,2,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,2,1,0,2,0,0,1,1,2,1,1,0,0,0,0,1,1,1,2,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,2,0,0,0,0,1,0,0,1,1,0,1,1,0,2,1,1,0,2,0,1,0,0,1,1,0,0,1,0,0,2,0,2,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,1,1,1,1,1,1,0,0,0,0,2,1,1,1,1,1,1,0,0,0,0,2,0,1,0,0,0,2,0,2,1,0,0,2,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,1,0,1,2,2,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1,1,1,1,2,0,0,1,0,0,1,2,0,0,2,1,0,0,0,0,0,0,1,0,1,1,2,1,2,1,1,0,1,1,0,1,1,2,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,2,1,2,0,0,0,0,1,0,1,0,2,0,0,1,0,1,2,0,0,0,1,1,0,0,0,0,0,1,1,2,1,1,0,0,2,1,0,2,1,1,0,1,1,0,0,0,0,2,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,2,0,1,0,0,1,0,0,1,1,0,0,1,1,1,2,0,1,0,0,2,2,0,0,1,2,0,0,1,2,1,2,0,1,0,2,1,0,1,1,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,1,2,0,0,0,1,1,1,1,1,0,1,2,0,2,0,2,0,1,0,0,0,1,2,0,2,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,2,0,1,0,0,2,0,0,1,1,0,1,0,0,1,2,1,0,2,1,0,0,2,2,0,0,1,0,0,0,2,2,2,0,0,0,0,0,0,0,0,1,1,0,2,0,1,1,0,0,2,0,0,1,2,0,1,0,1,0,1,2,1,1,2,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,2,1,1,1,1,1,0,0,0,1,0,1,1,1,2,2,1,1,0,0,2,1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,2,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,2,0,0,0,1,0,1,0,1,0,2,0,0,0,1,1,1,0,0,0,0,1,1,0,2,1,1,1,1,1,0,2,0,1,0,0,0,1,0,1,0,0,0,2,2,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,1,0,1,2,2,0,0,1,0,0,1,0,0,2,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,2,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0,2,1,0,1,0,0,0,0,1,1,1,2,1,2,1,0,1,0,2,1,0,1,0,2,1,2,0,0,0,1,0,1,0,0,0,0,0,2,0,1,0,0,0,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,1,0,0,1,2,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,2,0,0,1,2,1,2,0,1,0,1,0,0,1,1,0,0,0,1,1,1,2,1,1,0,1,0,0,2,0,1,0,2,1,1,0,0,1,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,2,1,2,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,2,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,1,1 2,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,1,2,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,2,0,2,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,1,2,0,1,0,2,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,1,2,2,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,0,2,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0,1,2,0,1,1,0,0,0,0,1,1,0,1,0,2,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0,2,0,1,0,2,1,0,0,2,1,0,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,1,1,0,1,0,2,1,1,0,0,1,0,0,2,1,1,0,0,0,2,0,2,1,1,0,1,0,1,0,0,2,0,0,1,2,0,0,0,1,0,2,0,0,1,0,0,0,0,2,0,0,0,0,1,1,2,0,2,1,0,1,1,0,0,0,1,1,1,2,1,2,0,0,1,1,0,0,0,2,1,0,0,0,1,0,0,0,2,1,2,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,0,0,1,1,0,1,0,1,2,0,1,0,2,0,0,1,0,0,0,0,0,2,0,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,2,1,1,0,0,0,0,2,1,2,1,1,1,0,0,0,1,1,0,0,2,0,2,1,0,1,0,2,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,2,1,0,1,0,0,2,1,2,1,1,0,0,0,0,2,1,0,0,0,2,0,0,0,0,1,2,1,1,1,0,0,1,1,1,0,1,0,0,1,0,2,0,0,1,1,1,0,0,2,0,0,0,0,1,1,0,0,2,0,0,1,0,0,0,0,1,0,0,1,1,0,2,0,1,1,1,0,0,1,0,1,1,1,1,0,2,0,0,1,1,1,2,2,1,1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,2,1,1,1,0,0,1,0,1,0,0,0,0,1,2,0,1,0,0,1,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,0,0,0,0,0,1,1,0,2,2,0,0,0,0,1,1,0,0,0,0,0,0,0,2,2,0,2,0,0,0,2,1,2,2,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,1,1,0,1,0,2,0,1,0,1,0,0,0,0,0,1,1,1,2,0,0,0,0,0,0,0,2,1,0,1,0,0,2,1,2,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,1,0,0,1,1,2,1,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,2,0,0,1,0,0,0,2,0,0,0,0,0,1,0,1,1,2,1,0,1,1,0,0,0,0,0,0,0,2,0,0,1,2,1,2,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,2,0,1,1,1,0,0,1,1,0,0,0,0,0,2,1,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,2,0,0,1,1,0,0,0,0,2,0,2,1,0,0,0,0,0,0,0,1,1,0,0,1 0,0,0,1,0,1,1,1,1,1,0,0,0,2,1,0,1,1,0,0,0,1,0,1,2,0,1,1,0,0,1,0,1,0,0,0,2,0,1,0,0,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,2,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,2,0,2,2,1,1,1,0,1,0,0,0,0,0,2,1,0,0,2,1,0,0,0,2,0,1,0,2,1,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0,1,1,1,2,1,1,1,0,2,0,2,0,0,0,1,0,1,2,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,2,1,1,2,1,0,0,0,1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,2,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,1,1,1,1,0,0,0,1,0,1,2,2,0,0,0,0,0,0,1,0,0,0,0,0,1,1,2,1,0,1,1,0,0,2,0,1,0,1,1,0,0,1,1,0,1,0,1,0,1,2,0,2,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,2,1,0,1,0,0,0,0,1,2,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,2,1,0,0,0,0,1,0,1,2,1,1,0,2,0,0,0,0,2,0,0,2,1,1,0,2,0,2,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,2,0,1,0,1,2,1,1,0,1,0,0,1,2,0,1,2,0,0,1,0,1,0,1,0,0,0,1,0,0,2,1,0,0,0,0,1,1,1,2,2,1,1,0,0,1,0,0,1,0,1,0,1,0,2,1,0,0,0,0,1,0,0,0,0,0,2,0,0,1,2,1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,2,1,0,1,1,1,1,0,0,2,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,1,2,0,1,0,0,0,0,1,0,0,2,0,1,0,0,0,0,1,2,0,0,1,2,1,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,2,0,1,0,1,0,1,0,2,0,1,1,1,0,1,1,2,0,0,0,2,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,1,2,0,1,0,2,0,1,0,0,0,1,1,0,2,2,1,1,1,0,1,0,0,0,1,1,2,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,2,1,2,1,0,0,2,0,1,0,0,0,1,0,0,0,2,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,0,1,1,1,1,1,2,0,0,0,2,0,2,1,2,0,1,0,0,0,1,1,0,0,1,1,1,2,0,0,0,1,1,0,1,0,2,2,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,2,0,1,0,1,0,0,0,1,1,1,1,0,1,2,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,2,2,0,1,0,1,0,1,0,2,0,0,0,0,2,0,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,2,0,0,1,1,0,1,0,0,0,0,0,2,1,0,0,0,1,0,1,0,0,1,0,0,0,2,1,0,0,1,1,0,0,0,0,1,2,0,0,0,0,0,1,1,0,0,0,0,0,2,0,1,0,0,2,0,0,1,0,0,0,0,1,0,1,0,2,2,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1 0,0,0,1,1,0,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,2,1,0,0,1,1,2,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,2,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,1,0,1,1,1,0,0,1,1,1,1,1,0,2,0,0,0,0,0,1,0,1,1,0,0,0,2,2,0,0,1,0,0,0,1,0,0,0,0,0,2,1,0,0,1,1,1,0,0,0,1,1,0,2,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,2,1,2,0,0,1,0,1,1,1,0,0,1,0,0,1,1,2,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,2,0,1,0,2,0,1,1,0,1,0,1,0,0,1,0,0,1,0,1,1,1,1,1,0,1,0,2,0,0,2,1,1,0,0,0,0,0,0,0,0,2,0,2,1,1,2,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,2,0,1,0,1,0,0,2,1,1,0,1,1,1,1,0,0,0,0,2,0,1,0,0,2,0,0,1,1,0,1,0,0,2,1,1,1,1,0,1,0,0,2,0,2,0,0,0,0,0,0,2,2,0,0,0,1,0,0,1,0,1,2,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,2,1,0,1,0,0,0,0,0,1,1,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,1,0,2,0,1,0,0,2,0,1,1,0,0,2,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,2,0,2,1,1,0,2,1,1,0,1,0,0,2,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,2,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,2,1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,2,0,0,1,1,0,2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,2,1,1,0,0,0,1,0,0,0,0,1,0,0,1,2,0,0,1,1,1,1,0,1,1,1,0,0,0,2,0,0,0,0,0,0,0,1,1,0,0,1,1,0,1,1,0,2,0,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,2,1,0,0,1,0,1,0,1,1,2,0,0,1,0,2,1,1,0,0,0,1,0,1,2,0,1,1,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,2,1,1,0,0,1,0,0,1,0,1,1,0,1,0,1,0,1,1,2,0,0,0,1,1,2,2,2,0,1,1,0,1,0,0,1,1,2,0,1,1,0,0,0,0,0,0,0,1,0,0,2,1,1,1,0,0,0,1,2,0,0,0,0,1,1,0,1,0,0,0,2,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,1,1,1,0,0,0,0,1,0,0,0,2,0,0,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0,1,1,1,0,0,1,0,1,2,0,1,0,0,0,0,2,1,1,0,1,0,0,1,0,2,0,0,0,1,0,0,0,0,0,2,1,2,0,1,1,0,1,1,1,1,2,1,0,0,0,1,0,0,2,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,1,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1 1,0,1,2,0,1,0,1,0,0,0,0,0,2,1,1,1,0,1,0,0,0,1,0,1,1,2,1,0,0,0,0,1,0,0,0,2,1,1,0,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,1,1,1,0,1,2,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,2,0,1,0,0,0,1,1,2,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,2,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,2,0,0,0,0,1,0,2,0,1,2,0,1,0,0,1,0,1,1,1,0,0,2,0,0,1,1,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,2,0,0,0,1,2,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,2,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,2,1,0,1,2,1,0,1,1,2,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,1,2,2,0,0,0,0,0,0,1,0,1,0,2,0,2,0,1,0,2,0,2,0,0,1,1,1,0,1,2,1,1,1,1,1,1,1,0,1,2,1,0,0,0,2,2,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,1,2,0,1,1,1,1,0,0,0,1,0,0,0,2,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,2,1,0,0,0,1,0,0,0,2,1,2,0,2,0,0,0,0,0,1,2,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,2,1,0,0,0,0,1,2,1,1,1,1,1,0,0,2,2,0,1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,2,2,0,1,1,0,1,2,1,0,0,0,0,0,1,1,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,2,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,2,1,2,1,1,2,1,0,0,2,1,1,0,2,0,0,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0,2,2,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0,2,1,1,2,0,0,0,0,2,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0,2,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,2,0,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0,1,2,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,2,1,0,0,0,0,0,2,1,1,0,0,2,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,2,0,2,2,0,1,1,1,1,2,0,0,0,0,0,0,1,0,2,0,2,1,1 0,0,0,1,0,1,0,1,0,0,2,0,2,1,1,0,0,1,1,0,0,0,0,1,0,0,2,1,1,0,1,0,2,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,2,1,0,1,2,0,0,0,0,0,2,1,0,0,0,1,0,1,2,0,0,0,0,1,0,2,0,1,1,0,0,1,2,0,0,1,1,0,2,0,0,0,1,0,1,1,0,1,2,1,0,0,0,1,0,2,1,1,0,2,1,1,0,2,0,2,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,2,0,0,0,1,1,2,1,0,0,1,0,0,1,0,1,0,0,0,0,1,1,1,2,0,1,2,1,1,2,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,2,1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,2,2,0,0,2,0,1,0,0,0,0,1,1,2,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,2,0,0,0,1,0,1,2,0,0,0,0,1,2,1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,1,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,1,2,1,0,0,0,2,0,1,1,2,1,0,2,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,1,1,1,1,0,0,0,1,2,2,1,0,0,2,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,2,0,0,0,1,2,0,0,1,2,0,0,0,1,1,0,1,0,1,0,2,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,2,0,1,0,2,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,1,2,0,0,1,0,1,0,0,1,1,0,0,2,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,2,1,0,0,1,0,0,2,1,1,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,0,2,2,1,1,1,0,1,1,0,0,2,0,0,2,1,0,0,1,1,2,0,1,0,0,0,2,0,1,0,1,0,0,0,2,0,1,0,0,1,1,0,1,0,0,2,2,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,2,2,1,0,0,1,1,0,2,0,1,0,1,1,0,0,0,0,0,1,1,2,0,1,1,0,0,2,0,0,2,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,2,0,2,0,0,1,1,0,0,2,0,1,2,2,0,0,0,1,0,2,1,1,1,0,1,2,1,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,1,1,0,0,0,1,0,0,2,0,0,0,0,1,2,1,0,1,1,0,0,0,0,0,0,1,0,1,1,2,0,1,0,2,0,1,0,0,0,0,1,0,1,2,1,0,0,1,0,0,0,1,0,0,0,0,0,2,1,0,0,1,0,0,0,1,0,2,1,0,1,1,0,0,0,1,0,1,0,2,1,0,0,0,1,0,1,0,0,0,0,0,0,2,1,1,0,0,2,1,0,1,0,2,0,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,2,1,0,0,1,1,1,2,1,0,0,0,1,0,1,0,0,0,0,1,1,0,2,1,1,0,1 0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,2,1,1,1,0,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,2,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,0,1,1,2,1,0,0,0,0,2,0,1,0,1,0,1,2,0,1,0,0,0,1,2,0,1,0,0,0,0,1,0,1,0,0,1,2,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,2,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,1,0,1,2,0,1,0,0,0,0,2,1,0,0,0,1,1,0,1,0,1,0,1,0,0,1,2,1,2,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,2,1,2,0,0,1,1,1,0,1,1,1,0,2,1,0,0,0,0,0,1,0,0,1,1,1,0,2,1,2,0,2,0,0,0,0,1,0,1,1,0,0,1,0,2,0,0,0,0,0,2,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,1,1,2,1,0,0,1,1,2,1,0,1,1,1,2,1,0,0,0,0,1,2,1,0,0,1,2,0,1,0,0,2,0,1,1,2,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,2,0,0,1,0,0,0,1,0,2,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,1,2,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,1,0,2,0,1,0,2,0,0,2,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,1,2,0,2,0,0,0,0,0,0,1,2,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,2,0,0,1,1,0,0,0,0,1,1,2,0,0,0,2,0,0,1,1,1,1,1,2,0,0,0,1,1,2,0,0,1,0,0,0,2,0,0,0,1,1,1,0,0,1,1,0,1,1,2,0,0,1,0,1,1,2,0,0,1,0,1,0,1,0,1,2,0,1,0,0,0,1,0,1,0,2,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,2,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,2,0,1,0,0,0,0,0,1,0,2,0,1,1,0,1,2,0,0,0,2,0,1,0,1,1,0,0,1,0,1,1,1,1,1,0,1,1,0,1,1,2,0,1,0,2,0,1,0,2,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,2,0,0,1,0,0,1,0,1,1,0,1,2,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,2,2,1,1,0,1,0,0,0,1,0,0,1,1,0,2,0,0,0,1,2,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,2,1,1,0,2,2,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0,0,1,0,2,2,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,2,1,0,1,0,1,0,1,0,1,1,1,0,0,2,1,0,1,1,1,0,1,0,1,0,0,2,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,2,0,0,0,1,0,0,0,1,1,1,0,0,0,1,1,2,2,0,1,0,1,0,1,0,1,2,1,0,0,0,0,0,1,0,2,1 1,0,0,1,0,0,0,0,0,1,0,2,0,0,1,0,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0,1,2,1,1,2,2,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,2,0,0,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,2,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,0,1,0,0,1,1,0,1,0,0,0,2,0,0,0,1,0,0,0,0,1,0,0,2,0,1,0,2,0,1,0,0,1,1,0,0,0,1,0,1,2,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,2,0,2,0,1,0,0,1,2,0,2,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,2,0,0,1,0,1,1,0,0,1,0,2,0,0,1,0,1,0,1,0,0,0,1,0,2,1,0,1,0,1,0,2,0,0,0,0,0,0,0,2,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,2,2,0,1,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,1,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,2,0,1,1,0,0,2,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,2,0,0,2,2,1,0,2,0,0,0,1,1,0,1,2,2,1,1,1,0,1,0,1,2,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,2,1,1,1,0,1,0,1,0,1,2,1,1,2,0,0,0,2,0,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,2,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,1,0,1,2,1,1,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,1,1,1,1,2,0,1,0,0,0,1,0,0,0,1,2,0,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,2,1,1,0,0,1,2,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,2,0,0,2,0,0,1,0,0,0,2,0,1,0,1,0,0,1,1,1,0,2,2,0,0,0,0,1,1,0,1,0,1,2,1,0,0,1,0,2,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,2,1,0,2,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,2,0,0,1,0,0,0,1,0,2,0,0,0,1,0,0,0,0,1,2,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,2,0,1,2,0,0,0,1,0,1,0,2,0,0,1,2,0,1,1,1,0,0,2,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,2,1,0,1,1,0,1,1,1,2,0,1,1,1,1,1,2,0,0,0,1,1,0,0,0,0,0,1,0,1,0,1,2,2,1,0,1,1,1,0,0,0,1,1,1,1,0,0,2,0,2,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,1,1,2,0,2,2,1,0,0,0,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,2,0,2,0,0,0,0,0,1,1,0,2,0,2,1,0,1,1,0,0,2,0,0,0,1,0,1,1,2,0,2,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,2,1,0,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,2,1,0,0,2,0,0,1,0,1,0,1,0,0,0,0,1,2,1,0,0,1,1,1,1,1,0,0,1,0,1,2,0,1,1,0,0,0,1,1,1,1,0,2,0,1,0,1,0,0,0,1,0,0,1,0,1,1,0,1,1 1,0,0,0,1,0,0,1,0,0,2,1,1,1,1,1,0,0,0,0,0,0,0,0,2,1,1,2,0,1,1,0,1,0,0,0,0,0,1,1,0,2,0,0,0,0,1,1,2,0,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,2,0,2,1,0,0,1,1,0,0,0,0,1,2,1,0,0,1,1,0,2,1,0,0,1,1,0,0,2,0,0,2,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,2,0,1,1,1,0,0,0,0,0,1,0,1,0,2,1,0,1,0,1,0,1,0,1,0,0,1,2,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,2,1,1,0,0,0,0,0,0,2,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,2,0,0,1,0,0,0,2,1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,2,0,1,1,1,0,2,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,2,1,0,0,1,1,0,1,2,1,0,0,1,0,0,2,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,1,1,1,0,0,1,1,0,0,2,1,1,0,2,0,1,1,0,2,0,1,0,0,1,0,0,0,0,1,1,1,1,0,2,0,0,1,0,0,0,2,0,1,1,0,0,0,0,1,1,2,0,1,1,2,0,0,1,1,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,2,1,0,0,2,1,2,1,1,0,0,0,1,0,0,1,1,1,0,1,0,2,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,1,1,1,2,0,1,0,0,0,2,0,1,0,1,0,0,1,0,2,0,0,0,0,1,0,1,1,0,0,2,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,2,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0,2,0,1,0,1,0,1,1,0,0,2,0,0,0,0,1,2,0,1,1,0,0,2,1,0,0,0,1,0,1,0,1,1,0,2,0,1,2,0,0,1,1,0,1,0,0,1,1,0,1,1,1,2,2,1,0,0,1,2,1,0,0,0,0,0,1,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,2,0,2,1,1,0,0,0,2,1,1,0,1,2,0,0,1,0,1,1,2,0,0,0,2,0,0,1,0,1,0,1,0,1,1,2,0,0,0,1,0,0,1,0,0,0,0,2,1,1,0,2,0,2,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,2,1,0,0,0,0,1,1,2,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,1,1,0,1,0,1,2,0,0,0,0,0,1,0,1,1,2,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,2,0,1,1,1,0,0,2,2,0,0,0,0,0,2,0,1,0,2,0,0,0,2,1,1,1,1,0,0,0,0,1,0,2,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,1,0,2,0,2,0,2,0,1,2,0,1,0,0,1,0,1,2,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,2,2,0,0,0,0,0,1,1,0,0,0,2,0,1,0,0,1,0,0,0,1,0,0,1,0,2,0,1,0,2,1,1,1,0,0,1,0,0,0,1,1,2,0,1,0,1,1,0,1,0,2,1,2,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1 1,0,2,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,1,2,0,2,1,2,1,1,0,0,2,0,0,1,1,0,0,0,1,2,0,0,1,0,0,1,0,1,1,1,0,0,2,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,2,2,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,2,2,0,1,0,0,0,0,0,2,1,0,1,0,0,1,0,0,1,0,1,0,2,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,1,2,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,1,1,0,0,0,0,0,0,0,1,0,1,1,0,2,2,0,1,0,0,0,2,0,0,1,0,1,1,2,0,1,0,0,1,0,1,0,1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,2,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,2,0,0,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,0,2,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,2,1,0,1,0,1,2,1,0,0,1,1,0,2,0,1,1,0,1,0,0,1,0,2,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,2,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,2,0,0,1,1,1,1,0,1,0,0,1,0,0,2,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,2,2,0,2,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,1,1,1,1,0,0,2,2,1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,1,1,1,0,2,2,0,1,1,1,1,1,1,1,0,1,1,2,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,2,1,1,0,2,0,0,1,0,1,0,1,0,0,0,1,0,1,0,1,2,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,2,0,0,0,0,0,2,0,2,0,1,1,0,1,1,1,2,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,2,1,1,0,2,0,0,0,0,0,0,1,1,0,1,0,0,0,0,2,0,1,0,0,1,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,1,2,2,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,1,0,2,1,0,1,0,0,0,0,1,0,0,0,0,0,1,2,1,2,2,0,2,0,0,2,1,0,0,1,0,0,0,0,1,1,1,1,1,2,1,2,1,0,1,0,1,1,0,1,1,0,0,0,2,1,0,0,0,0,0,1,0,1,0,2,0,1,0,0,2,0,1,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,1,2,0,1,0,0,0,0,1,0,0,2,0,0,1,1,0,2,1,2,0,0,1,2,0,0,0,0,2,1,0,0,0,1,2,0,0,0,0,0,1,0,1,2,0,0,0,1,0,0,2,1,1,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,1,1,0,0,1,1,2,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,2,1,0,1,0,0,1,2,2,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1 1,0,0,0,1,0,1,0,1,0,1,0,1,2,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,2,0,0,0,0,1,2,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,2,0,1,1,0,1,0,0,1,2,1,2,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,1,2,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,1,1,0,0,1,2,1,0,2,0,2,0,1,0,0,2,1,2,2,1,1,0,0,1,1,0,0,1,0,0,0,0,1,0,2,0,0,1,1,0,0,1,1,0,0,0,0,1,0,0,2,1,0,1,1,0,0,0,0,1,0,2,1,0,1,0,1,1,0,1,0,1,0,0,2,1,0,0,0,1,0,2,1,0,0,0,1,2,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,2,2,1,0,0,0,1,1,1,2,1,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,2,1,0,1,1,1,0,0,0,2,0,1,2,1,2,0,1,0,0,1,0,1,2,0,0,0,1,0,0,0,0,0,0,2,1,0,0,1,2,1,0,0,1,0,2,1,1,1,1,0,0,0,0,0,1,2,0,0,0,0,0,2,1,1,2,0,1,0,0,2,0,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,1,1,2,0,0,1,0,0,0,0,1,0,1,2,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,2,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,1,1,1,0,0,1,0,0,2,0,1,0,1,1,0,0,0,0,0,1,1,0,0,1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,2,0,0,1,0,0,1,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,2,2,0,0,1,1,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,1,0,0,1,1,0,1,2,0,0,2,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,1,0,0,0,0,2,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,2,0,1,1,0,0,0,1,0,0,0,0,0,0,0,2,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,2,1,2,0,2,0,2,0,0,0,1,0,0,0,1,1,1,0,0,0,2,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,1,2,1,0,0,0,2,1,0,2,0,0,1,2,2,0,0,2,0,1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,2,2,2,0,0,1,1,1,0,0,0,1,1,2,1,1,1,0,0,2,0,0,1,1,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,1,1,0,1,1,1,0,1,1,1,0,0,0,1,2,0,1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,2,1,1,2,0,0,2,0,0,0,1,0,0,1,0,2,1,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,0,2,0,0,1,1,0,0,1,1,1,2,1,0,0,0,2,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,1,0,1 2,0,2,0,0,0,0,1,0,1,1,1,0,1,2,0,0,1,0,0,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,2,1,0,1,1,1,1,1,0,0,0,1,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,1,2,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,2,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,2,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,1,1,0,1,0,2,0,0,1,1,0,1,0,1,0,0,2,0,0,0,0,0,1,0,1,0,2,0,1,0,2,0,0,0,0,1,1,0,0,0,2,1,2,1,1,0,0,2,0,1,1,1,1,2,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,2,0,0,1,0,0,0,1,0,1,2,0,1,0,1,0,1,0,0,0,1,0,1,2,1,1,0,1,0,0,0,0,1,2,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,1,2,1,0,1,0,0,0,1,0,0,0,1,0,1,1,1,2,0,2,0,1,0,0,0,0,0,2,0,0,0,1,1,0,0,2,0,1,0,1,2,1,0,0,1,0,0,1,0,1,0,0,1,2,0,0,1,2,1,0,0,0,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0,1,1,2,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,2,0,0,0,0,2,0,0,0,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0,1,2,1,0,0,2,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,2,0,1,2,2,0,1,1,0,0,2,0,0,0,2,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,2,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,2,2,0,0,0,0,0,0,0,1,0,1,2,0,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,2,2,0,1,1,1,0,1,1,2,2,0,0,0,2,0,0,0,0,1,0,0,0,0,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0,2,0,0,0,2,0,1,0,1,1,0,0,1,1,0,0,0,2,0,1,1,0,0,0,0,0,2,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,2,1,1,1,1,0,0,0,1,0,1,2,0,1,1,1,1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,2,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0,1,2,0,0,0,1,1,0,0,0,0,2,0,1,0,1,0,2,0,0,0,0,2,0,0,1,0,0,1,0,1,1,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,2,0,1,0,0,0,1,0,0,0,2,0,0,1,1,1,0,1,0,0,1,0,0,1,0,2,2,1,2,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,2,0,0,2,1,0,0,1,0,0,0,0,0,1,2,2,1,0,0,0,0,2,1,0,2,2,0,0,0,0,1,0,2,0,1,2,0,1,0,1,1,1,0,0,1,0,0,2,0,0,1,0,0,1,1,1,0,0,1,0,2,0,0,1,0,1,1,0,1,0,1,0,0,1,2,0,0,2,2,0,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,1,2,1,0,0,0,0,0,1,0,0,1,2,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1 0,0,0,2,0,1,0,1,0,1,1,0,0,2,1,2,0,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,1,0,2,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,2,0,2,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,0,0,0,1,1,1,1,0,2,0,0,2,0,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,2,0,0,0,1,0,1,0,0,2,0,0,0,1,2,0,1,2,1,0,0,1,1,1,2,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0,0,1,2,1,0,0,0,2,1,0,0,0,0,0,1,2,1,0,0,1,0,1,1,0,1,1,0,0,1,1,2,0,0,2,0,0,0,1,0,1,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,2,1,0,1,0,1,1,1,0,2,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,1,2,0,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,1,0,1,1,0,2,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0,2,1,0,0,2,2,1,1,0,0,0,2,0,0,0,1,0,0,0,1,0,0,2,0,0,1,1,1,0,0,0,0,1,0,2,2,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,2,1,1,0,0,0,0,2,0,1,0,0,1,0,0,0,1,1,1,0,0,1,0,1,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,2,0,0,0,0,0,2,0,0,1,0,0,0,2,0,0,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,1,2,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,2,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,1,1,1,0,1,1,0,0,0,2,2,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,2,1,0,0,1,1,1,0,2,1,0,0,0,1,2,0,0,0,2,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,2,0,1,0,0,1,0,2,1,1,2,1,0,1,2,1,2,2,2,1,0,1,0,2,0,1,0,1,0,0,0,0,2,1,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,2,1,1,2,0,0,0,0,1,1,1,1,1,0,1,0,1,0,1,1,1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,2,1,2,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,1,1,1,2,1,1,0,0,0,1,1,0,0,1,1,2,1,1,1,0,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,1,0,1,0,0,1,0,0,0,2,2,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,1,1,2,1,0,0,1,2,0,0,0,1,0,1,0,2,1,0,1,1,1,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,2,1,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,2,1,0,1 1,0,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,1,1,1,1,1,0,2,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,1,0,1,1,0,1,2,1,0,0,0,1,1,0,0,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,1,1,1,0,1,0,1,1,0,1,1,2,2,0,0,0,1,0,0,0,1,1,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,1,1,2,1,2,0,1,2,0,2,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,0,2,1,0,1,0,0,0,2,0,1,0,0,0,1,0,2,1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,2,0,1,0,1,0,1,0,1,0,0,0,1,1,1,0,0,0,0,2,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,2,0,0,0,1,0,0,2,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,1,1,0,1,0,0,2,1,1,0,0,1,2,1,1,2,0,0,0,0,0,0,2,1,1,2,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,1,1,0,0,0,1,0,1,0,0,0,1,2,1,2,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,2,1,0,0,0,1,0,2,1,1,0,0,0,1,1,0,0,0,0,1,0,0,0,2,1,1,0,0,0,0,1,0,0,1,0,1,0,2,0,2,0,0,0,1,1,0,0,0,2,0,0,0,1,2,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,2,0,0,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,2,1,1,0,0,0,0,1,0,1,1,2,1,1,0,2,2,0,1,1,1,1,2,1,2,0,0,1,1,1,2,0,0,0,1,0,0,2,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,2,0,2,0,0,1,1,0,0,0,1,1,0,1,1,1,0,0,1,0,1,0,2,2,0,0,0,0,2,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,1,1,0,1,0,1,0,1,2,1,2,1,1,1,1,0,2,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,2,0,1,1,0,0,0,0,0,1,1,2,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,2,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,1,0,0,0,0,1,1,0,1,2,0,1,0,0,1,0,1,2,2,0,0,0,1,2,1,1,0,1,0,2,1,0,0,1,0,2,0,0,0,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,1,2,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,0,2,0,1,2,1,1,1,2,0,0,0,0,1,1,1,1,2,1,1,2,0,1,1,0,0,0,1,1,0,1,0,0,2,1,0,0,1,0,0,0,1,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,2,0,0,0,0,1,1,0,0,1,0,1,1,0,1,1,1,1,2,0,0,1,1,0,0,0,0,0,2,1,2,1,0,0,0,0,2,1,0,1,0,1,1,1,2,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,2,1,0,1 1,0,0,1,1,0,0,0,1,2,1,0,0,0,2,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,2,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,2,1,2,0,2,0,0,0,0,1,1,1,0,1,2,1,0,1,2,1,0,0,0,1,0,1,1,0,0,1,1,2,1,0,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,2,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,2,2,2,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,2,1,1,1,1,1,0,1,1,0,1,0,0,1,0,1,1,0,2,1,1,1,0,1,1,1,0,0,2,1,2,1,2,0,0,0,0,1,1,2,2,0,0,0,0,0,0,0,0,0,1,2,1,0,1,1,1,1,1,0,0,0,1,1,0,1,2,1,1,0,2,0,1,1,0,1,0,0,0,1,0,1,0,1,1,1,1,1,0,0,0,1,1,0,1,0,2,1,2,1,1,0,2,0,1,0,2,1,0,0,0,0,1,2,2,0,0,0,2,2,0,0,0,1,0,0,0,2,1,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,2,1,0,0,0,1,0,0,2,0,0,2,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,2,2,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,2,1,0,0,0,1,2,0,0,0,0,0,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0,1,0,0,2,1,1,0,1,1,1,0,0,0,0,1,0,0,2,0,1,0,0,1,0,0,1,0,2,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,1,1,1,0,0,1,0,2,1,1,1,0,0,0,0,0,1,0,1,1,0,1,0,1,0,2,0,1,0,1,2,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,2,1,1,0,1,0,2,1,1,1,1,0,0,0,0,1,0,2,2,1,0,0,0,0,2,2,0,0,0,1,0,0,0,0,1,0,0,2,0,0,0,0,0,0,1,1,0,1,1,0,0,1,2,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,1,1,1,1,1,0,0,1,0,1,1,2,0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,2,0,0,0,0,1,1,0,0,1,0,0,0,1,2,0,1,2,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,2,1,2,1,0,0,1,2,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,2,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,2,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,1,1,0,2,1,0,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,1,1,0,1,0,1,0,2,0,1,1,0,2,0,0,0,1,1,2,0,0,1,1,1,1,1,0,0,0,1,1,2,1,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,1,0,1,0,2,0,1,1,1,0,1,0,0,0,0,0,0,1,0,2,0,0,0,2,1,0,1,2,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,2,2,0,1,0,0,0,0,2,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,2,0,0,0,1,1,2,1,0,0,0,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0,1,2,0,2,0,1,1,0,1,1,0,0,0,0,1,0,2,0,1,1,0,0,1 1,0,0,0,0,1,0,0,0,1,0,2,0,2,0,0,0,1,1,0,1,1,1,1,0,0,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,1,1,1,0,1,1,0,0,2,0,1,0,0,0,1,2,1,1,0,0,0,0,1,1,1,1,0,0,1,0,2,1,0,1,1,0,0,0,0,0,0,0,1,1,2,0,1,0,2,0,0,0,1,0,0,1,1,0,1,2,1,2,1,0,1,2,0,2,1,0,0,0,0,1,0,2,1,2,1,1,0,1,0,0,1,0,1,0,1,0,1,2,0,1,0,0,1,0,0,0,0,0,2,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,2,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,1,0,2,0,1,1,1,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,2,0,0,1,2,1,2,1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,1,0,0,2,0,1,1,1,0,1,0,1,0,2,0,1,1,0,1,0,1,0,0,0,1,0,0,1,2,1,1,1,0,1,1,0,0,2,0,0,1,0,0,0,1,0,0,0,2,0,1,0,1,1,0,0,2,0,1,0,0,0,0,2,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,2,0,1,2,0,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,2,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,2,0,1,1,1,0,0,1,0,0,0,0,0,0,0,2,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,1,1,1,1,1,0,1,0,1,0,0,0,1,1,1,1,0,2,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,2,0,1,1,1,1,0,2,2,1,0,0,1,0,1,0,1,0,2,0,0,0,0,0,1,0,0,0,0,1,1,2,0,0,1,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,2,1,1,0,0,0,2,0,0,0,0,1,0,0,1,0,0,0,2,1,0,0,0,0,1,0,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,2,0,0,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,1,1,0,1,2,1,1,0,2,2,0,1,1,0,2,1,1,0,1,0,0,0,2,1,0,1,1,0,0,1,0,2,0,0,0,1,1,1,0,2,1,1,0,0,2,1,0,0,1,2,0,0,1,0,1,0,2,0,0,2,1,2,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,2,0,1,0,0,0,0,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,2,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,1,2,2,0,0,1,0,0,0,0,1,2,1,0,1,0,0,1,1,0,2,1,1,0,0,2,1,1,1,1,0,0,1,1,0,2,0,0,0,2,1,0,1,0,1,0,0,1,2,2,0,1,0,0,1,0,1,1,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,2,1,1,1,0,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,1,0,2,2,1,0,1 0,0,0,2,2,1,0,0,0,1,2,1,0,2,0,1,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0,1,2,0,0,1,0,1,1,0,0,2,0,0,0,0,0,0,0,1,2,1,1,1,1,0,0,0,1,1,0,0,1,1,2,1,1,2,0,1,1,1,0,0,0,0,1,1,1,0,0,1,2,0,0,0,0,1,0,0,1,0,1,1,0,0,2,0,0,0,0,1,0,1,1,0,0,0,1,1,2,0,2,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,1,0,0,2,2,1,2,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,2,0,1,2,1,1,1,0,0,1,0,1,1,0,0,2,0,0,1,0,0,0,0,0,0,1,2,0,0,2,2,0,2,1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,0,2,1,0,1,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,2,1,2,1,0,0,0,1,0,1,2,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,1,1,2,2,1,0,0,1,0,2,0,0,0,0,1,2,0,2,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,1,1,0,1,2,1,0,0,1,2,0,2,0,1,1,0,1,1,0,0,0,2,2,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,2,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,1,0,2,1,2,1,1,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,2,0,1,0,1,0,0,2,0,0,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0,1,2,1,1,0,0,2,1,1,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,2,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,2,0,0,1,1,1,1,0,1,0,2,0,1,0,0,0,1,0,2,0,0,0,1,1,1,1,0,2,0,0,1,2,2,1,1,0,0,0,0,2,1,0,0,1,0,0,1,0,0,1,0,1,1,2,0,0,0,0,0,1,1,0,2,0,1,1,0,0,2,1,0,1,1,0,0,0,1,0,1,0,0,0,2,0,0,1,0,1,0,0,0,0,2,1,1,0,0,0,0,2,0,2,1,0,0,1,0,0,1,0,0,2,0,0,0,1,1,1,1,0,1,2,0,0,0,0,1,1,0,2,0,1,2,0,1,2,0,1,1,1,1,1,0,0,2,0,0,1,0,0,2,0,0,1,1,2,0,1,0,1,0,0,0,2,1,0,0,1,0,0,2,1,0,1,1,1,0,1,0,0,1,2,1,0,2,0,1,0,1,0,1,0,1,0,1,1,2,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,2,0,1,0,0,0,1,1,0,1,2,2,2,1,0,2,0,0,0,1,0,2,2,1,1,1,0,0,1,1,0,0,0,0,1,2,0,1,1,1,0,0,0,1,0,0,0,2,0,2,0,2,1,1,0,2,1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,2,0,0,1,2,0,0,1,1,0,0,2,2,0,0,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,2,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,1,0,1,2,1,2,0,0,1,0,1,0,0,0,2,0,0,0,0,0,0,2,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,1,2,0,1 0,0,0,2,0,0,0,0,2,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0,1,2,1,1,1,0,0,1,1,2,0,0,1,0,2,0,1,1,1,1,1,0,1,1,0,1,1,1,1,2,2,0,2,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,1,0,0,1,0,1,1,0,2,1,0,1,2,0,0,1,1,0,1,0,2,0,1,1,2,0,0,0,0,0,0,1,2,2,0,1,0,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,2,0,1,1,1,0,0,1,0,1,1,0,2,1,0,2,0,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,2,1,0,0,0,1,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,2,1,0,0,1,0,1,1,0,0,0,0,1,2,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,2,0,0,1,0,0,2,0,0,1,1,0,0,1,0,1,0,0,0,2,1,0,1,0,0,1,2,0,0,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,1,2,0,0,0,0,2,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0,0,1,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,2,0,0,0,0,2,2,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,2,0,1,0,2,1,2,0,1,0,0,0,0,0,0,0,0,1,2,1,0,1,1,0,0,0,2,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,0,0,0,1,1,0,0,2,1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,2,0,1,0,0,0,0,1,1,1,1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,1,2,0,1,0,1,0,2,1,2,1,2,1,1,0,0,1,1,0,0,1,0,2,0,1,1,0,0,1,1,0,1,0,1,0,0,2,2,0,1,2,2,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,1,1,0,1,0,0,0,2,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,2,1,0,0,0,0,1,2,1,2,2,2,1,0,1,2,1,0,1,0,0,0,0,1,0,1,0,0,0,1,1,1,1,2,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,2,0,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0,2,0,1,1,0,0,0,0,0,2,1,0,1,1,0,1,0,0,1,2,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,2,0,0,1,0,0,0,1,1,2,0,0,2,0,0,0,1,0,0,0,1,0,1,1,0,2,1,0,0,0,2,1,1,1,1,0,1,1,1,0,0,1,0,0,2,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,1,0,2,1,1,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,2,2,2,1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,1,2,1,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,1,1,1,0,0,1,1,0,0,0,2,1,2,0,2,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1,1,1,0,1 0,0,0,1,0,0,0,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,2,1,0,1,2,0,2,0,1,0,1,0,1,0,1,2,1,2,0,2,0,1,0,0,0,1,0,0,2,0,1,0,0,2,0,0,0,0,0,0,2,1,2,0,0,0,2,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,1,0,0,1,0,2,1,0,1,1,1,1,1,1,1,1,0,0,1,1,1,0,1,2,2,0,0,1,0,0,1,0,0,1,1,2,0,0,1,0,0,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,1,1,0,0,0,1,1,1,1,0,0,0,2,2,0,0,1,0,0,0,0,0,0,0,0,2,1,1,0,2,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,1,1,0,0,1,2,0,0,0,1,2,1,0,0,1,0,1,2,0,0,1,0,1,0,0,2,1,0,1,1,0,2,1,2,0,1,1,2,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,2,1,1,0,0,2,0,0,0,1,0,1,1,1,1,1,0,2,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,1,0,1,1,1,0,0,0,1,0,2,1,1,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,2,1,1,0,1,0,1,2,0,0,2,0,0,0,1,1,0,0,1,0,1,0,1,0,1,2,1,0,0,1,2,1,0,1,0,0,1,1,2,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,2,0,0,0,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,0,0,2,1,2,1,0,0,0,0,2,1,0,1,0,1,0,0,1,0,0,2,0,0,0,0,2,1,1,0,1,0,2,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0,2,0,1,1,0,0,0,1,1,1,1,0,0,1,0,2,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0,1,1,2,0,0,2,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,2,1,0,1,1,1,0,2,2,1,1,1,1,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,2,0,0,1,0,0,2,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,2,1,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,2,0,2,1,0,1,2,0,1,2,1,0,0,0,1,1,0,0,0,1,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,1,2,1,1,0,0,0,2,0,1,0,1,0,0,0,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,2,1,0,1,1,0,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,2,0,0,1,0,0,0,0,0,0,2,1,1,1,2,0,1,1,0,0,1,1,0,0,1,2,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,1,1,0,0,0,1,0,0,0,0,1,0,1,0,2,2,0,0,0,0,0,0,0,1,0,1,1,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,2,0,0,1,0,0,2,0,2,0,0,0,0,1,2,0,1,0,0,2,0,0,0,0,0,2,1,0,0,0,1,1,0,0,0,0,0,2,1,1,0,0,0,1,0,0,1,1,0,1,1,0,0,2,1,1,1,0,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1 1,0,0,0,1,0,1,1,1,2,0,0,0,0,1,0,0,1,2,0,0,0,0,0,1,0,1,1,0,1,1,0,1,0,2,0,0,0,1,1,1,0,2,2,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,2,0,0,1,0,1,0,0,1,1,0,1,1,2,2,0,1,0,1,0,0,1,0,0,1,0,2,1,1,1,0,2,1,0,1,0,0,1,2,0,1,2,1,0,0,1,1,0,0,0,1,2,0,2,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,2,1,0,0,0,0,1,0,2,1,0,1,0,1,0,1,2,1,1,1,0,0,0,2,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0,0,2,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,2,1,0,0,0,0,0,0,2,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,1,1,0,2,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,2,0,0,1,0,0,1,1,0,1,0,2,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1,1,1,2,0,0,0,0,1,0,0,0,0,1,0,0,1,1,2,0,0,1,1,2,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,1,2,0,0,0,0,0,1,2,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,1,2,1,1,0,2,2,1,1,1,0,0,1,1,0,1,0,2,0,1,0,0,0,2,0,0,1,0,0,0,0,0,1,1,0,0,0,1,2,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,2,2,1,1,1,2,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,2,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,1,0,0,1,2,0,1,0,0,1,2,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,1,1,1,2,1,1,0,1,0,0,0,2,1,1,0,2,0,0,1,1,0,0,1,1,1,0,2,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,1,1,0,1,2,0,0,0,1,0,2,0,0,1,1,1,0,2,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,1,0,1,1,0,0,0,0,0,1,0,2,1,0,0,0,0,0,1,0,2,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,2,0,1,0,0,0,0,0,0,0,2,1,0,0,1,2,1,0,0,0,1,0,1,0,1,2,0,2,0,0,1,1,0,1,1,0,0,1,0,0,0,0,1,1,1,1,1,0,0,0,2,2,0,0,0,2,2,1,0,0,0,2,0,0,0,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,1,1,1,1,0,0,0,0,1,2,0,0,1,0,2,0,0,1,0,0,0,0,1,1,1,0,1,1,0,0,2,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,1,2,1,1,2,0,1,0,1,0,0,1,1,0,0,2,2,0,0,0,1,2,0,0,0,0,0,0,0,2,1,1,0,0,0,1,2,2,0,0,1,0,0,2,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,2,0,0,2,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,2,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1 1,0,1,0,0,0,1,1,1,2,0,0,1,1,0,1,0,2,0,0,1,0,0,1,2,0,1,2,1,0,2,0,0,1,1,0,1,0,0,1,2,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,2,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,2,0,0,0,2,2,0,2,0,0,0,0,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,1,2,1,0,1,0,1,1,0,0,0,1,2,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,1,1,0,1,0,0,1,2,0,1,0,2,0,1,1,2,0,1,1,1,0,0,0,0,0,1,2,1,0,1,1,2,0,1,1,0,1,0,0,2,1,0,0,0,0,0,1,2,0,0,1,0,0,2,0,1,0,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,2,1,0,2,0,0,1,0,0,2,0,0,0,1,1,0,1,0,1,1,1,1,2,0,1,1,0,0,0,1,1,1,0,0,0,2,0,1,0,0,1,0,0,1,1,1,1,1,1,0,1,1,0,1,0,0,2,2,0,0,1,0,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,2,1,0,0,0,1,0,0,2,0,1,1,0,0,0,0,0,1,0,0,1,2,1,0,1,0,1,0,0,1,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,2,2,1,0,0,1,0,1,1,0,1,0,0,1,2,1,0,2,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,2,0,2,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,2,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,2,1,1,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,1,1,2,2,0,0,0,1,1,1,1,0,0,0,0,0,0,0,2,1,0,1,0,0,0,2,2,1,1,0,0,2,0,1,1,0,0,0,0,1,0,1,1,2,1,2,0,0,2,0,1,2,0,1,1,1,1,1,0,0,1,1,2,0,0,0,1,0,1,0,2,0,0,0,0,0,1,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,2,0,0,1,1,0,0,2,0,2,0,0,0,2,1,0,1,0,2,1,1,0,0,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,1,0,0,0,2,0,0,2,0,0,1,0,1,2,2,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,2,0,2,0,2,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,1,2,1,2,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,2,1,0,0,0,1,0,1,0,1,1,2,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,0,2,0,0,0,1,1,1,0,0,2,0,0,0,0,1,1,0,1,0,1,0,2,2,0,1,1,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,2,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,2,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,2,0,0,0,0,0,0,1,1,1,2,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,1,0,1,1 0,0,1,1,1,0,1,0,0,1,0,1,0,2,2,0,0,0,0,0,0,0,2,0,1,1,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,2,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,1,2,0,0,0,0,1,1,1,0,2,1,0,0,1,0,0,0,1,1,1,0,2,0,1,0,0,0,1,1,0,1,0,2,1,1,0,0,0,0,0,0,2,1,0,0,2,0,0,1,0,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,2,1,0,2,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,2,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,2,0,1,0,0,0,1,0,1,0,1,0,0,0,0,2,0,1,1,1,0,1,1,1,1,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,1,0,1,1,0,0,0,1,1,2,0,0,0,0,0,2,0,2,1,1,0,2,2,0,0,1,0,0,0,1,0,2,1,1,0,0,0,1,1,1,1,1,1,0,0,2,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,2,1,0,1,0,1,0,1,1,1,1,0,0,1,0,2,1,0,0,0,0,1,1,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,1,0,2,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,1,2,1,2,1,1,2,2,2,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,2,0,2,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,2,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,2,0,2,1,0,0,0,0,0,2,0,0,1,0,1,2,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,1,1,1,0,0,1,1,0,2,2,0,1,1,0,2,0,2,2,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,2,0,0,1,0,0,1,0,0,0,0,1,1,2,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,2,1,0,0,2,0,0,0,1,0,2,0,1,1,1,1,1,0,2,1,1,0,1,0,0,1,1,0,1,1,0,2,1,0,1,1,1,2,0,1,1,1,0,2,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,1,1,1,2,0,1,0,1,1,0,1,0,1,0,0,0,2,0,0,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,2,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,2,2,0,0,1,0,0,1,1,0,0,1,0,2,0,0,0,0,1,1,1,0,1,0,1,0,2,0,0,0,0,1,0,0,0,0,1,0,1,2,2,1,0,1,1,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,2,0,2,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,2,0,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,2,0,0,0,2,0,0,0,0,1,0,0,0,1,0,2,1,0,1,1 0,0,1,2,2,0,0,1,1,1,0,1,0,1,0,0,0,0,2,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,2,0,0,0,2,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,1,0,2,0,2,2,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,2,0,0,0,2,0,1,1,0,0,0,0,1,0,1,0,0,0,2,2,1,0,2,0,1,0,1,1,1,1,2,1,0,1,0,1,0,0,0,2,1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,1,1,1,2,1,0,0,1,0,0,2,1,0,0,0,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,1,0,2,1,0,2,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,1,0,0,0,2,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,2,0,0,0,0,1,1,0,1,1,1,0,0,0,2,0,0,0,0,2,0,0,2,2,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,1,2,0,2,1,2,0,0,0,0,2,0,0,0,2,1,1,0,0,1,0,1,2,2,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,1,2,0,0,2,1,0,0,0,1,0,2,0,2,0,0,0,0,2,0,0,1,1,0,0,2,1,0,1,1,1,1,0,1,0,0,0,0,2,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,2,1,1,0,1,2,0,0,1,0,1,2,0,2,0,1,2,1,1,1,0,0,0,2,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,2,0,0,1,1,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,1,0,0,1,2,1,0,2,1,0,1,0,2,2,0,1,0,2,0,0,0,0,0,1,0,0,2,1,0,1,2,0,0,2,0,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,2,0,1,0,1,1,1,2,1,0,0,0,0,0,2,0,0,0,0,0,0,1,1,2,0,0,0,2,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,1,1,0,1,1,0,0,2,1,2,0,0,0,0,0,2,0,2,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,2,1,0,0,0,0,0,1,1,1,1,1,1,2,1,0,1,2,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,2,2,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,1,1,2,0,1,0,2,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,1,1,1,1,0,1,1,1,1,2,1,0,0,0,2,1,0,0,0,0,2,1,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,2,1,0,0,0,0,2,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,2,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,2,1,0,0,0,0,0,1,2,1,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,1,1,1,0,1,0,2,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,2,0,1,0,0,0,1,1,0,0,1,1,0,1,0,1,1,0,0,1 1,0,0,0,2,1,2,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,1,1,2,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,2,0,0,1,2,0,0,0,0,0,1,1,0,1,0,0,2,0,0,1,0,0,1,1,1,0,0,0,1,1,1,2,1,0,0,0,2,1,0,0,0,0,2,0,0,0,0,2,0,1,2,0,0,0,0,1,0,0,0,1,0,1,0,2,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,1,2,0,1,0,1,0,0,1,0,1,1,0,2,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,2,0,2,1,0,1,0,0,0,0,1,0,0,1,1,1,1,2,0,2,0,0,1,1,1,2,1,1,0,0,1,1,0,1,0,2,0,0,0,1,1,2,0,1,0,2,1,0,1,0,0,0,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,1,2,1,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,2,0,0,0,0,1,0,2,1,1,0,0,1,0,0,1,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,1,2,0,1,0,0,2,0,0,0,1,0,0,1,1,1,1,0,1,0,1,0,1,2,1,0,1,0,0,0,1,1,0,0,0,1,0,2,0,1,0,1,0,1,1,1,1,0,1,0,1,0,1,1,0,0,2,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,2,1,1,0,0,0,0,0,0,0,1,0,2,0,1,1,2,0,0,0,1,0,2,0,0,0,0,0,1,2,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,1,2,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,2,2,1,1,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0,1,1,1,1,1,0,1,1,0,1,2,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,2,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,1,2,1,0,0,0,2,1,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,1,0,2,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,1,2,0,1,0,0,1,0,1,0,0,1,1,2,2,1,2,1,1,0,1,1,2,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,1,0,0,1,2,1,0,0,0,2,1,0,0,0,0,1,1,0,2,0,0,1,1,0,1,1,0,0,2,0,0,1,2,0,2,1,0,1,2,0,0,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0,1,0,2,0,2,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,1,1,1,1,0,0,1,2,0,0,1,0,2,1,0,1,1 1,0,0,1,0,0,0,0,0,0,2,2,1,1,2,2,0,1,0,0,0,0,0,0,1,0,1,0,0,0,2,0,2,1,1,0,0,1,1,1,2,1,0,0,0,2,1,0,1,0,0,0,0,0,2,0,1,1,1,1,1,0,0,0,1,1,0,2,1,1,2,0,0,1,2,1,1,1,0,0,0,0,0,2,0,0,1,0,2,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,1,2,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,2,2,2,0,1,1,1,1,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,2,0,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,1,2,2,2,0,0,0,2,0,0,0,2,0,1,0,0,0,0,1,0,2,2,0,0,0,0,0,0,1,1,1,0,0,2,0,0,1,1,2,0,0,1,0,1,0,0,2,1,2,0,1,1,2,1,0,1,1,1,0,0,0,2,1,0,0,0,1,1,0,1,0,0,0,0,0,2,1,0,2,0,1,2,0,0,2,0,0,0,0,2,0,0,1,1,0,0,0,1,1,2,1,0,0,0,2,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,2,1,2,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,2,2,0,1,1,0,0,0,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,1,2,1,0,1,0,1,0,1,1,0,1,0,0,0,0,1,2,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,1,2,2,2,0,0,1,0,1,2,0,0,1,0,0,1,0,0,0,2,0,1,2,0,0,2,0,1,2,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,1,0,1,0,1,0,1,2,1,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,2,1,0,2,0,2,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,2,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,2,0,1,0,1,0,0,1,2,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,1,0,1,1,0,1,1,1,2,1,0,0,2,0,2,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,1,0,1,1,0,0,0,1,0,1,0,0,0,1,1,1,0,0,1,1,2,0,0,2,0,1,1,0,1,0,1,0,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,1,2,0,1,0,2,0,0,0,0,2,1,0,0,0,0,2,0,0,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,2,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,1,2,1,2,0,0,0,0,0,1,1,2,0,1,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,2,1,0,0,2,2,0,1,1,0,0,1,1,1,1,2,1,0,0,0,1,1,0,0,0,1,1,1,0,1,1,1,1,0,0,2,0,0,1,2,0,0,1,0,1,0,0,0,1,0,0,0,0,0,2,0,1,1,0,0,0,1,0,0,2,0,0,2,0,0,2,1,0,0,1,2,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,2,1,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,2,0,0,0,1,1,0,0,0,2,0,0,1,0,2,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,2,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,1,1 0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,1,1,1,0,0,2,0,0,1,0,2,2,0,1,1,0,1,0,0,0,1,1,0,0,1,2,0,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,2,1,0,0,1,1,0,0,1,2,0,0,2,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,1,2,0,0,1,0,0,1,0,1,0,2,0,0,0,1,0,2,0,1,1,0,0,0,0,0,1,0,1,0,0,1,1,1,2,0,0,0,1,0,2,1,1,0,0,1,2,1,0,0,0,0,0,0,0,0,1,0,1,1,2,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,2,1,2,1,1,1,0,0,0,1,0,0,1,0,0,0,2,0,2,0,2,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,2,0,0,0,2,1,0,1,0,1,0,0,1,0,2,2,0,1,0,1,0,0,1,0,0,1,1,0,2,0,1,0,0,0,0,0,0,0,1,2,1,0,0,0,1,1,0,1,2,1,0,0,2,0,1,0,0,0,1,0,2,2,1,1,1,0,0,0,2,1,1,2,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,1,2,0,0,1,0,0,0,0,0,1,0,1,1,2,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,1,1,1,0,2,0,1,1,0,0,0,0,2,1,1,1,1,0,0,0,1,2,0,2,0,0,1,0,0,0,1,0,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,0,1,0,0,0,0,0,0,0,1,1,2,1,0,1,0,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,2,2,1,1,0,0,0,1,1,0,0,0,1,1,2,1,2,2,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,1,1,0,2,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,2,1,2,0,0,1,1,1,1,1,0,1,1,1,1,2,0,0,0,0,0,1,1,1,0,0,0,2,1,2,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,1,1,0,0,0,0,0,0,2,0,1,0,1,0,0,0,2,0,1,0,2,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,2,2,0,0,1,0,1,0,0,1,2,1,0,1,2,0,2,1,1,2,2,0,0,0,0,1,0,1,1,0,1,2,0,1,1,0,2,1,0,1,0,2,0,2,1,2,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,2,0,0,0,0,2,0,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,1,1,2,0,2,0,2,1,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,2,0,0,0,1,1,1,1,0,0,0,1,1,1,0,1,2,0,0,0,0,0,1,0,2,0,1,1,1,1,2,0,0,1,1,1,0,0,1,1,2,0,0,1,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,1,0,1,1,1,2,1,0,0,1,2,0,1,1,0,2,1,0,0,1,1,0,0,0,1,0,1,1,0,2,0,1,1,0,1,0,0,1,0,1,1,1,0,1,2,0,1,0,1,0,0,1,2,1,0,2,0,2,1,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,2,2,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1 1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0,2,0,2,0,0,0,1,1,0,0,1,1,1,1,0,1,1,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,2,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,2,0,0,1,0,0,0,1,1,1,1,0,0,2,1,1,1,0,0,1,1,0,1,0,0,2,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,2,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,1,0,0,1,0,2,2,0,1,0,0,1,1,0,1,2,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,2,0,1,0,0,0,1,0,0,0,0,1,0,0,2,1,1,0,0,2,0,0,1,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,1,0,0,1,1,0,0,1,1,1,1,0,1,1,0,0,1,1,0,0,2,0,0,1,2,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0,2,1,0,0,0,0,0,1,1,0,0,2,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,1,2,1,1,0,0,0,0,1,2,1,1,0,2,0,1,0,2,0,2,0,0,1,0,0,1,0,2,1,1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,2,0,2,0,0,1,0,2,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,2,0,2,0,1,0,2,0,1,1,0,2,1,1,0,2,0,1,0,0,0,1,0,0,0,1,0,0,2,0,2,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,2,0,0,0,1,0,0,1,1,1,2,1,0,0,1,2,0,0,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0,2,0,2,0,1,0,0,0,2,1,2,0,1,0,2,2,2,0,0,0,2,0,0,1,0,0,1,1,0,0,2,1,1,0,0,0,0,0,0,1,0,2,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,2,0,0,0,1,0,0,1,2,1,0,2,0,2,1,0,0,1,0,0,0,1,1,2,0,0,0,2,0,2,1,0,2,2,0,0,2,2,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,2,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,2,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,2,0,1,2,0,0,2,0,0,0,2,2,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,2,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,2,0,0,1,0,0,0,0,0,0,2,1,1,1,0,0,1,0,0,0,2,0,0,0,1,0,1,1,0,0,0,2,1,1,1,0,1,1,0,0,0,1,0,0,0,0,2,0,0,0,0,2,1,0,1,0,1,0,1,1,0,1,0,0,0,2,1,1,0,1,1,1,0,0,1,0,0,0,0,0,2,0,1,0,2,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,2,0,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,2,1,0,1,0,0,0,1,0,1,0,0,1,1 0,0,1,0,0,0,0,0,2,1,1,0,2,0,2,2,0,1,1,0,1,0,0,0,2,2,1,0,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,2,1,1,0,2,1,2,1,1,0,0,1,0,2,2,2,0,0,0,1,0,0,1,0,1,0,1,1,0,2,0,1,0,0,0,0,0,0,0,0,1,2,1,1,1,0,0,0,1,1,0,1,2,1,0,1,0,1,0,0,2,1,1,0,0,0,0,0,0,0,2,0,0,1,0,2,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,2,0,1,2,1,1,0,2,0,0,2,0,0,1,1,0,0,0,0,0,0,1,0,2,0,1,2,0,0,1,1,0,0,0,2,0,1,0,0,0,2,1,0,0,0,1,0,1,0,0,0,2,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,2,1,0,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,2,1,0,0,1,2,0,0,1,1,1,2,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,2,0,0,0,1,0,2,0,0,1,0,0,0,1,1,0,1,0,1,1,0,1,1,0,0,1,2,0,0,1,0,0,2,1,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,1,2,0,0,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0,2,2,0,0,0,1,1,0,0,1,0,2,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,1,1,0,2,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,2,0,2,0,1,1,0,0,2,0,2,1,1,1,0,1,1,2,0,1,1,1,1,0,0,0,1,1,1,0,0,1,0,2,0,1,0,1,0,1,0,0,1,1,0,2,0,0,1,0,1,2,1,1,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,1,1,0,0,1,1,2,1,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,2,0,0,2,0,0,1,1,0,1,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,2,0,1,0,1,0,0,1,1,2,1,1,2,0,1,0,0,1,1,2,0,2,0,0,0,1,2,0,1,0,0,2,0,1,0,0,1,0,1,1,2,0,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,1,0,2,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0,2,1,1,0,0,0,1,1,0,1,1,0,2,2,0,1,0,0,2,1,0,1,0,0,0,2,2,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,0,2,0,1,2,1,0,0,1,1,1,0,0,0,0,0,0,1,1,1,2,1,0,1,2,1,1,1,0,0,0,0,0,0,0,1,2,2,1,1,0,0,1,0,0,0,1,1,0,0,0,1,2,1,0,0,2,0,1,2,1,0,2,0,1,0,1,1,0,1,1,1,2,0,1,0,1,0,0,0,1,0,0,2,0,1,0,0,0,0,0,0,2,1,0,0,0,2,1,1,1,1,2,0,1,0,0,1,0,0,0,1,0,0,0,0,1,1,2,2,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,2,1,1,0,0,1,1,0,2,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,2,1,1,1,0,0,0,1,1,1,1,1,0,0,2,2,0,1,0,0,0,0,0,1,0,0,0,1,1,0,2,0,0,0,2,0,0,2,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,2,2,2,0,0,1,0,0,1,0,1,2,0,0,0,0,1,1,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1 0,0,1,1,0,0,0,1,0,0,2,0,0,2,1,0,0,1,0,0,0,0,1,0,1,2,1,1,0,1,0,0,1,0,0,0,0,0,1,0,2,1,0,2,1,1,0,2,0,2,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,2,1,0,0,2,0,0,0,0,2,0,2,1,2,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,1,2,0,0,0,0,0,0,1,1,0,0,1,0,2,0,0,1,1,2,0,2,0,1,1,0,0,1,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,2,0,1,2,0,0,0,0,0,0,0,2,1,0,1,0,0,1,0,0,0,1,1,0,0,2,2,0,1,0,2,0,1,0,0,0,2,0,0,0,2,1,1,1,0,1,1,1,2,1,0,0,0,1,0,1,2,0,0,0,2,2,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,2,1,1,0,1,2,0,0,0,0,0,0,0,1,1,0,0,0,2,0,1,0,0,1,1,0,0,0,0,2,0,0,0,0,0,1,2,1,1,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0,2,0,0,1,0,0,0,1,2,0,1,0,0,0,1,2,0,0,1,0,0,2,0,0,1,0,0,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,2,0,0,2,0,1,0,0,2,1,1,0,1,2,1,0,0,1,1,2,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,1,0,1,0,2,1,0,0,1,0,2,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,2,1,0,1,1,0,0,2,0,2,0,0,1,0,1,1,1,0,2,1,1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0,2,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,1,1,2,0,0,0,0,0,1,0,1,2,2,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,2,1,0,0,1,0,0,1,0,1,2,0,1,1,0,2,0,0,0,0,1,0,0,1,1,0,1,0,2,1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,2,2,2,1,0,2,0,1,1,0,1,0,1,0,2,0,2,0,1,1,1,0,1,0,0,0,1,1,2,1,0,0,1,0,0,2,1,0,0,0,1,1,2,0,1,0,0,0,0,1,0,0,2,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,2,1,1,0,1,0,0,1,0,0,2,1,1,0,1,0,0,2,1,1,0,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,2,1,0,1,0,0,1,0,0,0,0,0,1,1,2,2,2,0,0,0,0,0,0,0,0,2,0,1,1,1,2,0,1,2,1,0,0,0,0,0,0,0,1,1,1,0,0,0,2,0,0,1,1,2,0,1,0,2,1,2,1,0,0,0,1,1,2,1,0,1,1,0,1,1,0,1,2,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,2,1,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,2,0,1,1,0,1,1,2,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,2,0,2,1,0,1,0,0,1,0,0,2,0,0,0,1,0,0,2,1,0,0,0,0,1,0,2,0,0,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0,2,1,2,0,0,0,1,0,1,0,1,0,1 1,0,0,1,0,1,0,0,1,0,0,1,1,0,2,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,2,1,0,2,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,2,0,0,1,0,2,1,2,1,1,2,0,0,0,0,0,1,1,1,0,0,2,1,1,1,0,1,0,1,1,0,1,0,2,1,0,1,0,1,1,0,0,1,1,0,0,2,1,1,0,0,0,1,1,0,1,0,0,0,0,2,2,0,0,0,0,2,0,0,0,1,1,1,2,0,0,0,2,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,2,0,0,0,0,1,1,1,0,0,1,0,0,1,1,0,2,0,0,0,0,0,0,0,2,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,2,1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0,2,1,0,1,0,0,0,2,1,0,0,0,2,0,0,0,0,0,0,0,1,0,0,2,2,0,1,0,1,1,0,2,0,0,0,2,0,1,0,0,0,1,0,2,1,0,0,0,1,1,2,1,0,1,0,1,1,1,0,1,1,0,1,1,1,0,0,1,1,1,1,0,0,2,1,0,0,1,1,1,0,1,0,2,0,1,0,0,2,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,1,1,0,1,1,1,2,0,1,1,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,2,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,1,2,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,2,0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,0,0,1,1,1,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,1,2,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0,0,2,0,0,0,0,1,0,1,1,0,0,2,0,0,0,0,2,0,0,1,1,0,0,1,0,0,1,0,0,0,1,1,2,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,1,0,1,0,2,2,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,1,1,2,0,0,2,1,0,0,0,1,0,0,0,0,0,2,2,0,0,1,1,0,0,2,1,0,1,1,0,1,0,1,0,1,0,1,0,0,2,0,2,2,1,0,0,1,0,0,0,0,0,1,1,1,2,1,0,1,2,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,2,0,1,0,1,2,0,0,0,1,1,1,1,0,0,0,1,0,2,1,1,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,2,0,2,2,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,2,0,0,1,0,0,0,0,0,0,2,0,0,1,0,2,0,1,0,1,1,1,1,0,0,0,0,1,2,2,1,1,0,0,1,1,2,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,2,0,0,1,1,0,0,0,0,0,0,2,0,1,0,0,0,0,1,1,1,0,1,1,0,0,1,1,1,2,0,0,0,0,2,0,0,1,0,0,0,0,1,2,1,1,0,0,0,1,1,1,1,1,0,0,0,2,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,2,0,1,1,0,0,1,0,0,2,0,1,1,0,0,1,1,0,0,0,0,1,1,2,1,2,0,0,2,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1 1,0,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,2,1,0,0,0,0,0,0,1,1,0,0,2,0,1,0,1,2,1,1,2,0,0,0,1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,2,0,1,0,0,0,1,1,1,0,0,0,1,0,2,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0,0,1,1,2,0,0,0,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,2,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,1,1,0,0,0,1,1,0,0,1,1,1,2,2,0,0,2,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,1,1,2,0,2,0,1,0,1,1,0,0,0,1,0,2,1,0,0,1,1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,2,1,2,1,2,0,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,1,2,0,2,0,0,0,0,2,1,1,1,1,1,1,0,0,1,1,0,0,0,1,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,2,1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,2,0,0,1,1,0,1,1,0,1,0,1,1,1,1,2,0,0,0,0,2,1,0,0,1,2,0,0,0,1,0,1,1,0,0,1,1,2,0,1,1,1,1,0,1,0,1,0,0,0,1,1,2,1,1,0,1,1,1,0,1,0,1,1,0,1,1,1,0,2,1,0,1,0,0,0,0,0,2,0,2,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,2,0,2,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,1,1,1,0,2,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,2,0,1,2,1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,2,1,0,1,0,0,1,2,1,1,1,0,2,0,1,0,1,0,1,1,0,1,2,0,0,1,0,2,0,0,1,0,1,1,2,0,2,0,1,0,1,0,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,2,1,0,1,1,0,0,1,1,1,0,0,2,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,1,0,1,1,1,1,0,0,2,0,1,0,0,0,0,1,1,0,0,1,0,1,2,0,1,0,1,0,0,1,0,1,1,1,0,1,1,2,2,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,2,0,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,1,1,1,0,1,0,1,2,0,2,1,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,1,0,2,0,2,0,0,0,0,0,1,0,0,2,0,0,0,1,0,2,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,2,0,1,1,0,1,1,0,1,0,0,0,0,2,1,1,2,1,1,0,0,1,0,0,0,0,0,1,2,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,2,0,0,0,0,2,0,0,0,0,0,1,1,0,0,1,0,2,0,1,1,0,1,0,0,0,0,0,2,1,2,1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,2,1,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,2,0,0,2,1,1,1,0,1,0,2,1,0,0,1,1,0,0,0,0,0,2,0,0,1,0,0,1,0,1,1 0,0,1,1,1,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,2,1,1,1,2,1,0,1,0,0,0,1,1,0,0,0,2,0,1,1,0,0,1,1,0,1,0,0,0,1,0,2,0,0,1,0,0,1,1,0,1,0,1,1,1,0,0,1,1,1,2,0,2,0,0,0,0,0,0,2,0,1,0,0,0,0,2,0,0,0,1,1,0,2,0,0,1,0,2,1,0,0,2,0,1,1,0,0,1,0,1,0,1,2,1,0,0,1,0,0,0,1,1,1,1,2,1,1,1,0,0,0,1,1,0,0,0,1,1,1,2,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,1,0,2,0,0,0,2,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,2,0,0,0,1,0,2,0,1,2,0,0,0,0,0,0,0,0,1,1,0,0,0,2,1,0,0,0,1,0,0,1,0,2,1,0,1,0,0,0,1,0,0,1,0,0,2,2,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,1,2,1,1,1,1,0,1,1,1,1,2,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,2,2,1,1,0,1,0,2,2,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,2,2,1,1,0,0,0,0,1,0,0,0,0,1,2,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,1,0,1,0,0,1,0,1,0,1,0,1,2,1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,2,0,0,2,0,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,2,1,1,0,0,0,1,1,1,0,0,0,1,0,2,0,1,0,0,0,2,0,1,0,0,0,0,0,1,0,0,1,1,1,1,1,1,1,1,1,2,1,1,2,0,0,1,1,1,0,0,1,0,2,0,1,0,2,0,1,0,0,2,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,2,0,1,1,2,0,1,2,0,0,2,0,0,0,0,0,1,0,0,0,1,2,2,0,1,1,0,0,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,2,1,0,1,1,0,0,0,0,0,1,0,0,0,2,0,1,2,1,2,0,0,0,0,2,0,0,0,2,0,1,0,2,1,0,0,0,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0,1,0,2,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,0,2,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,1,0,0,1,1,0,0,1,2,0,1,2,0,1,0,1,0,0,2,0,2,0,1,0,1,1,1,0,0,0,0,0,0,0,2,1,2,1,2,1,2,0,0,1,0,0,2,1,2,1,0,0,0,0,0,1,0,2,0,2,1,0,0,0,0,2,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,2,2,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,2,0,1,2,2,2,1,0,0,0,0,1,1,0,1,1,1,1,2,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,2,0,1,1,1,0,2,1,0,1,0,0,2,0,0,0,0,1,0,1,0,0,0,0,1,2,0,1,0,0,1,0,0,1,1,0,1,1,1,0,0,2,0,0,0,1,1,0,2,0,0,0,1,0,1,1,0,0,0,2,1,1,1,1,0,2,2,1,1,1,0,0,0,1,1,1,1,2,0,2,1,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,2,0,1,1,0,0,0,1,0,0,1,0,0,0,0,2,1,0,1,0,0,2,1,2,0,1,0,0,0,0,0,2,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,1,0,1,1,1,0,0,0,2,0,2,1,0,0,0,0,1,1,0,1,0,0,0,2,0,1,0,0,0,1 0,0,1,2,0,0,0,0,1,1,2,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,2,1,1,0,1,0,0,1,1,1,0,1,0,0,2,1,1,1,1,0,0,0,0,0,0,0,0,1,2,0,0,0,1,1,0,0,1,0,0,2,1,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,2,1,0,0,0,1,1,0,0,0,1,2,0,0,0,1,1,1,0,2,1,0,0,1,0,2,0,1,1,0,0,1,0,0,0,2,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,2,2,2,2,0,0,0,1,2,1,0,1,1,1,1,1,2,1,0,0,1,0,0,0,1,2,1,2,0,0,0,1,0,0,1,0,1,1,1,1,2,0,0,0,1,1,0,0,1,1,1,1,0,0,0,2,1,1,0,0,1,0,1,0,1,0,0,0,1,1,1,1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,1,0,2,2,0,1,0,1,1,2,0,1,0,0,1,0,1,0,1,0,0,0,2,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0,2,2,1,0,0,2,0,0,1,1,0,0,0,1,0,1,1,2,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,1,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,2,1,1,1,2,0,0,0,2,0,1,1,0,2,0,1,1,2,0,1,0,1,1,0,1,1,1,0,2,0,0,0,2,1,1,1,1,1,2,0,1,1,0,1,1,2,0,1,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,1,0,2,0,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,2,2,0,0,0,1,0,1,2,1,0,0,0,0,0,0,1,1,0,1,0,2,0,2,1,1,0,2,1,0,0,2,0,0,0,1,1,0,2,1,0,2,0,2,0,1,0,1,1,0,0,0,2,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,2,0,0,0,2,0,0,2,0,0,1,2,0,1,0,0,0,1,1,0,0,0,0,0,2,0,0,1,1,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,2,1,2,1,0,0,0,2,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0,2,0,1,0,0,0,1,0,1,1,1,0,2,1,1,0,0,0,1,0,0,0,0,2,0,0,0,0,1,2,1,0,0,0,0,0,1,0,0,1,0,0,1,2,0,0,1,0,2,0,2,1,0,0,0,0,1,0,2,0,0,0,1,1,2,0,1,1,0,2,2,0,0,0,0,1,1,0,1,2,0,1,0,1,2,0,1,0,0,1,0,0,0,1,0,2,1,0,0,0,1,1,0,0,1,0,0,0,2,0,2,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,1,2,2,0,0,0,2,0,0,1,1,0,0,2,1,0,1,0,0,0,0,0,0,1,2,0,1,0,0,2,1,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,1,1,0,1,0,1,0,2,0,0,0,0,1,2,1,0,0,1,0,0,1,0,2,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,2,1,0,0,0,1,0,0,2,1,1,1,2,1,1,1,2,0,1,1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0,1,1 1,0,1,2,0,0,1,0,1,1,1,1,0,2,2,1,0,2,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,1,1,2,0,1,2,0,0,1,1,1,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,1,2,1,2,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,1,1,2,0,0,1,1,2,0,0,1,0,2,0,1,0,2,0,0,1,1,0,0,1,0,0,1,0,0,1,1,2,1,1,1,1,0,0,1,0,0,0,0,0,1,1,2,1,0,2,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,2,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,1,1,0,2,1,0,2,0,0,1,1,1,0,0,0,0,0,1,0,1,0,1,2,0,0,1,1,0,1,1,1,1,0,0,0,1,2,0,0,0,0,0,2,0,0,0,1,1,0,1,0,0,0,0,0,1,1,2,2,0,1,0,0,1,2,1,1,1,0,0,0,2,1,2,1,0,0,0,1,0,1,0,0,0,0,1,0,2,0,1,0,1,2,1,1,0,0,2,0,1,0,0,0,0,1,0,2,0,1,1,0,1,1,0,0,0,1,0,0,0,0,2,1,0,0,1,0,0,1,0,2,1,0,0,2,0,0,0,0,2,0,0,0,1,0,0,0,1,2,0,0,1,1,2,1,1,0,1,0,0,0,1,0,0,1,1,1,0,2,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,2,1,0,1,0,0,2,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,2,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,1,0,1,0,0,2,0,0,1,1,1,0,0,1,0,0,2,1,0,0,2,1,1,0,1,0,0,0,1,0,0,1,0,1,0,1,0,1,1,2,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,2,0,0,1,0,2,0,0,2,0,0,2,0,0,1,2,2,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,1,1,0,1,0,2,1,0,0,0,2,2,0,1,0,1,1,0,0,2,1,1,2,2,0,0,1,0,1,1,0,2,1,0,2,0,0,0,0,1,1,0,0,0,1,0,0,0,1,2,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,1,1,0,2,1,0,1,0,0,0,1,2,1,0,0,0,1,1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,1,1,2,0,0,0,1,1,1,0,1,0,2,1,0,2,2,0,0,0,1,1,2,1,1,1,1,0,0,1,0,0,0,0,0,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,2,0,0,0,0,1,0,2,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0,2,1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,2,0,1,2,0,2,0,0,1,1,0,0,1,0,0,0,0,1,2,0,1,1,0,0,0,0,0,0,1,2,2,0,0,0,1,1,0,0,1,1,1,0,0,0,2,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,2,1,0,1,0,1,1,0,0,0,2,1,0,0,0,1,0,1,2,0,2,2,1,0,1,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,1,1,2,0,1,0,2,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,2,0,0,1,0,0,1,1,0,0,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,2,0,1,1,0,0,0,0,0,0,0,0,1,1,0,2,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,2,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,2,1,0,1 1,1,1,2,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,2,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,1,2,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,2,2,0,0,0,0,1,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,1,2,0,1,2,0,0,0,0,1,2,2,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,2,0,0,2,1,0,1,0,0,0,0,1,1,0,0,1,2,0,1,2,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,2,0,1,1,0,0,0,1,0,1,1,0,0,0,0,2,0,0,1,1,1,1,1,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,2,1,0,1,1,0,0,0,1,0,1,2,1,0,1,2,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0,2,0,0,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0,2,1,0,1,0,1,1,1,1,0,0,0,1,1,2,0,1,0,1,0,2,0,0,0,0,0,0,2,1,1,0,1,1,1,1,2,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,2,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,2,1,1,2,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,2,1,2,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,2,1,2,1,1,1,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,0,0,1,1,1,0,2,2,1,1,0,0,1,0,1,1,1,2,0,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,2,2,1,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,2,1,1,2,2,0,1,1,1,0,1,0,0,1,0,0,2,0,1,1,1,2,1,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,0,1,0,0,0,1,1,1,1,1,1,0,0,2,1,0,0,0,1,1,1,0,1,2,0,1,2,2,2,1,1,0,0,1,2,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,2,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,1,1,1,0,0,2,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,2,0,2,0,0,0,0,2,0,1,2,2,0,1,1,2,2,2,2,2,0,0,0,1,0,1,0,2,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,2,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,2,1,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,1,1,0,0,2,0,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,1,2,1,0,0,0,0,1,1,0,0,1,1,1,0,2,2,0,2,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,1,0,2,1,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,2,0,0,0,2,2,1,0,1,1,2,1,2,0,0,0,2,0,0,1,0,0,1,0,0,0,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,2,0,0,2,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,1,1,1,0,0,1,0,0,2,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,2,0,0,0,0,1,0,0,1,0,0,2,1 1,0,2,1,1,0,0,2,0,1,1,0,0,1,2,0,0,1,0,0,0,0,0,0,1,0,2,1,0,0,2,0,1,1,2,0,1,1,1,1,0,0,2,2,2,0,0,2,0,1,0,1,0,0,0,1,0,1,2,2,0,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,1,2,1,0,0,1,0,2,0,0,1,1,0,2,1,0,0,0,0,1,2,1,0,0,0,1,1,0,0,0,1,2,0,0,0,0,2,1,0,2,0,0,0,0,1,1,2,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,2,1,0,0,2,0,0,0,1,2,0,1,2,0,0,1,1,0,0,1,1,0,2,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,1,0,2,1,0,0,1,1,0,0,0,0,1,0,2,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0,1,2,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,0,1,2,0,2,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,1,2,2,0,0,1,2,0,2,2,2,1,1,2,1,0,0,1,0,0,2,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,1,1,0,1,2,0,0,0,0,1,1,1,0,1,1,0,0,2,1,0,0,1,1,0,1,0,0,2,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,2,0,2,1,0,0,0,1,0,0,1,2,0,1,0,1,0,0,1,1,2,0,1,1,0,1,0,0,1,0,1,2,1,2,0,1,0,0,1,0,0,0,1,1,1,0,0,2,1,0,0,0,1,0,0,1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,2,1,0,0,1,0,1,2,0,1,2,0,0,1,1,0,1,0,0,0,1,1,2,0,0,1,0,0,0,0,2,1,0,0,0,0,2,0,0,1,1,1,0,0,0,1,2,1,0,0,1,0,0,1,0,2,0,1,0,1,0,0,1,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,2,0,0,0,0,1,1,1,0,2,0,2,0,2,1,1,1,1,2,1,0,2,1,0,1,1,0,1,1,0,0,0,0,2,0,0,0,1,1,1,2,0,0,0,1,1,2,0,0,1,1,1,1,0,0,1,2,1,0,1,1,1,1,0,1,1,1,0,2,0,0,1,0,0,2,2,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,2,0,0,0,0,1,0,2,2,0,0,0,1,2,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,2,1,2,1,0,0,1,0,0,0,0,1,2,0,2,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,1,1,2,0,1,0,0,1,0,1,0,1,1,0,0,1,1,1,2,0,1,1,2,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,2,1,2,1,0,0,1,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,1,2,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,0,2,2,2,1,2,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,2,0,0,0,2,0,0,2,1,1,2,0,0,0,2,2,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,1,2,1,0,0,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,2,2,0,1,0,0,0,0,1,2,0,0,0,0,1,2,0,1,1,0,0,0,0,2,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0,2,2,0,0,1,0,0,1,1,0,0,2,0,0,0,1,1,0,0,1,0,1,1,0,0,2,0,0,0,0,0,0,1,0,0,0,1,1,0,1,2,0,0,0,0,2,0,0,1,0,1,1 1,0,1,1,1,0,0,1,0,1,2,1,0,1,1,1,0,2,0,0,0,1,0,1,0,2,1,2,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,2,0,0,0,1,2,1,0,1,1,0,2,0,0,2,1,0,0,0,1,1,0,0,0,2,2,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,1,1,2,0,1,1,0,0,0,1,0,0,2,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,2,2,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,2,0,1,2,0,1,0,0,1,0,1,0,1,2,0,0,0,0,1,0,2,1,1,1,0,0,0,1,1,0,2,1,0,2,0,1,1,0,1,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,2,1,0,1,0,0,2,0,2,1,1,0,1,0,0,0,0,0,1,0,1,0,0,2,2,0,0,2,0,1,2,0,0,0,0,1,1,0,0,0,2,1,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,1,2,0,1,0,1,1,2,1,0,0,1,1,2,1,0,0,0,2,0,1,0,0,0,0,0,2,1,0,0,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,1,2,1,2,1,0,2,0,1,0,2,0,0,0,0,0,0,1,0,1,0,1,1,0,0,2,1,0,1,1,1,1,0,0,2,0,0,1,2,0,0,0,0,1,0,0,1,0,0,0,1,1,1,0,0,1,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,2,0,1,1,0,0,1,0,0,1,1,0,1,0,2,1,1,0,0,0,2,1,1,0,1,0,2,1,0,0,0,2,0,1,0,0,0,1,0,2,0,1,0,0,0,1,1,0,1,0,1,0,0,1,0,2,0,1,0,0,0,0,0,2,2,2,0,0,0,1,0,0,1,0,0,1,2,1,2,0,1,1,0,2,2,1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,2,0,0,1,0,1,0,0,0,2,2,1,0,1,2,0,0,2,2,0,0,0,0,1,0,2,2,0,0,0,1,0,2,0,0,0,0,1,1,1,1,0,0,0,0,1,2,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,2,0,1,1,0,0,1,2,0,0,0,0,0,2,0,1,1,0,2,0,0,0,1,0,0,1,1,0,0,1,1,1,1,0,2,1,0,0,1,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,2,0,0,2,1,0,0,1,0,1,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,2,0,1,2,0,0,1,1,0,2,2,1,1,0,1,0,2,0,0,0,1,0,1,0,0,2,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,2,1,1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0,2,1,0,2,0,2,1,0,0,0,0,1,0,1,0,0,2,1,0,0,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,1,1,2,1,0,0,1,0,1,0,0,0,2,1,0,1,0,0,1,1,0,2,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,2,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,2,1,1,0,0,0,0,1,0,1,0,1,0,2,2,1,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,2,1,0,0,0,1,0,0,0,0,1,2,0,2,0,0,0,0,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,2,1,0,1,1 1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,1,0,1,1,0,0,1,0,1,0,2,2,1,1,0,2,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,2,1,2,0,1,0,2,1,0,0,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,2,0,0,2,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,2,0,1,1,1,0,0,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,2,1,0,2,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,0,2,0,2,1,0,1,0,0,0,0,1,0,0,2,0,0,0,0,0,0,1,0,1,2,0,0,2,1,1,1,0,0,1,1,0,0,2,0,1,0,0,0,1,0,1,0,0,2,1,1,1,1,0,2,0,1,0,1,0,0,0,0,2,0,1,1,0,0,0,0,1,2,1,1,0,2,1,0,0,2,1,2,1,2,0,0,2,2,1,0,0,0,2,2,0,1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,2,1,1,0,0,0,1,2,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0,1,2,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,2,0,0,2,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,2,1,0,2,0,0,0,1,1,1,1,1,0,1,0,0,1,2,1,2,0,1,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,2,0,0,1,0,1,0,1,0,2,0,1,1,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,0,2,1,0,1,0,1,0,0,0,2,0,1,0,0,0,2,0,1,1,1,1,0,1,0,2,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,2,0,0,0,0,1,2,1,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,1,0,2,0,1,0,2,0,0,1,0,0,2,1,0,1,1,1,1,1,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,2,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,2,0,2,1,0,1,0,1,1,0,0,1,1,2,0,0,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,2,1,2,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,1,2,0,2,0,1,0,0,1,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,1,0,2,1,0,1,0,0,0,1,2,1,0,0,1,2,1,1,0,0,1,0,1,0,0,1,2,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,1,1,1,1,0,1,0,0,0,2,2,1,1,0,1,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,1,1,2,1,0,1,0,0,1,0,0,1,0,2,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1 1,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,1,2,1,1,1,0,1,2,0,1,1,1,0,0,0,0,2,1,1,0,2,1,0,1,1,0,0,1,0,0,0,0,0,0,1,2,1,0,0,1,0,0,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,2,1,0,0,0,0,1,0,0,0,0,1,0,2,2,0,0,1,0,0,2,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,2,0,2,0,1,0,0,0,0,1,1,0,0,1,0,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,2,1,1,1,1,0,0,0,2,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,2,1,0,0,0,1,1,1,0,2,0,0,2,0,0,1,0,0,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,1,0,1,0,2,1,2,2,1,0,0,0,0,2,2,0,0,0,0,2,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,2,1,1,0,0,0,0,0,1,0,1,0,0,1,2,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,1,2,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,2,0,0,0,0,2,1,0,1,1,1,1,0,0,0,1,1,0,0,2,1,2,0,1,1,2,0,0,0,0,1,1,0,0,0,0,1,0,1,0,2,0,0,1,1,1,1,0,0,0,0,2,0,0,1,0,0,0,0,1,1,1,2,0,1,2,1,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,2,1,0,1,0,0,0,1,1,1,0,1,1,0,2,0,1,0,0,0,0,1,0,1,1,1,0,1,0,1,0,0,1,1,1,1,2,0,2,1,0,1,0,1,1,2,2,0,0,0,1,1,1,0,2,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0,2,1,0,0,0,0,0,1,2,1,1,1,1,2,0,0,0,0,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,1,2,1,0,0,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,2,1,2,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,2,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,2,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,2,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,1,1,1,1,1,2,1,0,1,0,1,0,0,0,0,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,1,1,1,2,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,2,0,1,2,0,0,2,0,1,0,0,1,0,2,1,0,1,0,0,0,0,0,0,1,0,1,2,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,2,0,0,0,2,1,0,1,0,0,0,0,2,0,1,2,0,0,1,0,0,2,0,0,1,1,0,0,0,0,0,0,0,1,1,0,2,0,0,1,0,0,0,0,0,1,0,0,0,1,2,2,2,0,1,0,1,0,0,1,0,0,0,0,0,1,0,2,0,0,1,1 1,0,0,1,0,0,1,2,0,1,0,1,0,2,0,1,0,1,0,0,0,0,1,1,0,0,0,1,2,1,1,0,1,0,0,0,1,0,0,0,1,2,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,2,1,1,2,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,0,0,2,0,2,0,0,1,1,0,1,2,0,0,1,0,1,1,0,2,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,2,0,0,0,1,1,2,1,0,0,0,1,0,0,1,0,0,0,1,0,2,0,0,1,1,0,2,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0,1,1,0,2,1,0,1,1,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,2,1,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,2,0,1,1,0,2,0,2,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,2,0,2,0,2,1,1,0,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,2,1,2,1,0,0,1,2,0,0,1,0,0,2,0,0,2,0,0,0,1,0,1,1,1,0,2,0,1,0,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,2,0,1,1,1,0,0,1,0,2,0,0,2,1,0,0,1,0,2,1,0,0,1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0,2,1,1,2,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,2,1,0,1,1,0,2,1,0,1,0,0,1,0,2,0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,1,1,0,1,1,0,1,0,0,2,0,1,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,1,0,0,0,0,1,0,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,2,0,1,0,1,0,0,1,1,2,1,0,0,0,0,1,1,2,0,0,0,1,0,0,2,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,1,2,0,1,0,0,1,2,2,0,1,0,0,0,1,1,1,1,0,2,2,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,2,0,0,0,1,0,0,1,0,0,1,0,1,0,1,1,0,2,0,0,1,1,1,0,0,2,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,2,2,0,0,2,1,1,0,0,0,1,1,0,2,1,0,0,1,0,1,1,0,1,1,2,1,0,0,0,0,0,0,0,1,0,1,0,0,2,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,2,2,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,1,1,2,0,1,1,1,1,1,0,0,2,0,0,2,0,1,0,1,0,1,0,1,0,0,0,0,1,0,1,2,0,0,0,2,0,1,0,1,1,0,0,2,0,2,0,1,0,0,0,2,1,1,2,2,0,1,0,0,0,0,2,0,2,1,2,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,2,0,2,1,1,1,0,0,0,1,0,0,1,0,1,2,1,0,1,0,1,0,0,1,2,0,0,2,1,2,0,2,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,2,1,1,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0,2,1,1,2,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,2,0,0,0,0,0,2,1,0,1,1,0,0,1,0,0,0,2,0,0,1,1,1,0,0,0,0,0,1,0,0,0,1 0,0,1,0,0,0,1,1,2,0,2,1,0,0,0,0,2,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,1,1,1,1,1,0,0,1,0,1,1,1,1,1,0,0,0,2,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,1,0,1,0,0,1,0,2,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0,2,0,1,1,1,0,0,1,0,2,0,1,1,0,2,1,0,0,1,2,1,1,0,1,0,0,1,0,0,0,1,1,0,2,1,0,1,0,1,0,0,0,0,0,2,1,2,0,1,1,0,0,2,0,1,0,0,0,0,0,0,1,0,1,0,0,2,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,2,0,0,0,0,1,0,0,1,0,2,0,1,0,0,0,1,1,0,0,0,1,1,0,0,2,1,1,1,1,0,2,0,1,1,2,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,1,1,0,2,0,0,0,1,0,2,0,0,1,0,1,0,2,1,2,0,0,0,1,1,0,0,0,0,0,1,1,1,1,0,2,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,2,0,0,2,0,0,0,0,1,0,2,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0,2,0,1,0,1,0,0,1,2,1,0,2,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,1,0,1,2,0,0,0,2,0,0,2,0,1,0,0,0,1,0,0,0,1,0,1,2,0,1,1,0,0,1,1,1,1,0,0,1,1,2,0,2,1,1,0,2,0,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,0,2,0,2,0,0,0,2,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,2,0,1,1,0,0,0,1,1,1,1,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,2,0,0,1,0,1,0,1,2,0,0,1,0,1,0,1,1,1,2,1,0,0,1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,1,2,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,2,1,0,0,0,0,0,2,1,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,1,1,1,0,2,0,1,0,0,0,2,1,1,0,1,0,0,0,2,0,0,1,0,2,1,0,0,0,0,0,0,1,0,2,1,1,0,0,0,1,1,0,0,1,2,0,0,1,0,0,0,0,2,1,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,2,0,0,1,2,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,2,1,0,0,0,2,0,0,2,0,0,0,1,1,1,2,0,0,1,0,0,0,0,1,0,0,0,2,1,1,0,1,1,1,0,0,0,1,0,0,0,1,2,0,1,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,2,0,1,2,1,0,1,0,0,0,0,0,0,2,2,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,1,0,0,1,2,1,1,0,0,1,2,0,1,1,1,0,0,0,0,1,0,1,0,0,0,1 0,0,2,1,0,0,0,1,1,0,1,1,1,2,1,1,0,0,1,0,0,0,1,0,2,1,2,0,0,0,1,1,0,1,0,0,0,0,0,0,2,2,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,2,1,1,0,0,1,0,0,0,0,1,1,1,0,1,1,0,0,0,0,0,1,2,0,1,0,1,0,2,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,1,0,1,1,0,2,1,0,0,2,0,0,0,0,0,1,0,2,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,1,0,0,1,0,1,0,0,2,1,1,1,0,0,0,2,0,1,0,0,1,1,1,1,0,0,0,0,2,0,2,1,2,0,1,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,2,1,0,1,1,0,1,1,2,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,1,2,0,0,1,0,1,1,0,0,1,1,0,0,1,2,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,2,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,2,1,0,1,1,1,1,1,2,0,0,0,0,1,0,0,0,0,1,0,0,1,1,2,2,1,0,2,0,2,0,0,1,0,0,0,0,0,1,0,1,0,0,2,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,0,1,1,0,0,0,1,1,2,1,1,1,1,2,1,0,2,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0,2,0,0,0,0,1,1,0,1,2,0,1,0,1,2,1,1,1,0,1,0,0,0,0,2,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,1,2,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,1,1,1,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,2,0,0,1,0,1,0,0,1,1,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,2,2,0,0,1,1,1,2,1,0,0,0,1,0,1,1,0,1,0,0,0,1,1,2,0,1,1,2,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,1,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,2,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,2,1,1,0,0,0,0,0,1,2,1,0,0,2,1,1,0,1,0,1,0,0,2,0,0,2,1,2,0,0,1,0,0,0,0,0,0,2,0,1,1,0,0,0,0,0,2,0,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,2,0,1,1,0,0,1,2,1,0,1,0,1,0,1,1,1,0,0,0,0,2,0,0,0,1,0,1,0,0,0,1,0,2,2,1,1,2,0,0,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,1,0,1,2,0,0,2,0,1,1,0,0,0,0,1,0,0,2,0,1,0,1,0,1,0,0,0,0,1,1,0,0,1 0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,2,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,1,1,2,1,0,0,1,0,1,1,0,1,0,2,2,0,0,0,0,0,0,0,1,1,1,0,0,0,1,2,0,1,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,2,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,2,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,2,2,2,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0,1,1,0,0,1,1,1,0,2,0,0,1,1,2,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,2,0,0,1,0,0,0,0,0,0,0,1,1,1,0,2,0,2,1,1,0,0,2,0,0,0,0,1,2,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,2,1,0,1,1,2,0,1,1,0,0,0,0,0,0,2,1,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,0,2,1,1,0,0,1,0,0,0,0,0,0,1,0,1,2,0,2,1,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,1,2,0,1,0,0,2,0,2,0,0,1,1,1,1,1,2,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,2,0,0,1,1,0,2,1,1,0,2,1,1,1,0,0,1,0,1,0,0,0,0,1,1,1,0,2,0,1,1,1,0,0,1,1,0,1,1,0,0,1,2,0,1,0,0,2,1,1,0,0,0,1,2,0,1,0,0,0,1,0,1,2,1,0,1,0,0,1,1,0,2,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,1,0,1,2,1,0,0,0,0,1,1,0,1,0,2,2,0,0,0,1,0,1,2,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,1,1,0,0,1,0,1,0,0,0,1,1,0,0,2,1,0,1,0,0,1,1,1,1,2,0,0,0,1,0,1,0,0,0,1,1,0,0,2,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,1,2,0,0,0,0,0,1,0,0,2,1,0,1,0,0,1,0,2,0,2,1,2,0,1,0,1,0,0,0,1,2,0,1,0,0,0,1,2,1,1,0,1,1,0,1,0,0,0,2,0,0,1,1,2,2,2,1,1,1,0,1,0,2,0,2,0,2,1,0,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,2,2,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,2,1,0,1,1,2,1,0,1,0,0,0,0,0,0,0,1,1,1,1,1,0,2,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,0,0,2,1,1,2,1,0,0,0,0,1,1,0,1,1,1,1,2,0,1,0,1,1,1,1,1,1,1,1,0,2,0,1,0,1,2,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,2,0,1,0,0,2,1,1,1,0,0,0,0,0,2,2,1,0,0,0,0,1,0,0,1,1,1,0,1,0,1,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,1,2,0,2,2,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1 2,1,0,1,0,0,1,1,0,1,2,1,0,0,1,1,0,1,0,0,0,1,2,1,1,2,2,2,0,0,0,0,1,0,0,0,2,0,1,0,1,1,1,0,0,1,0,2,0,0,0,1,0,0,1,0,1,0,0,0,0,0,2,0,0,2,0,2,1,1,1,0,1,1,2,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,1,2,0,0,1,0,1,0,1,1,1,2,0,2,2,1,0,2,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,1,1,2,0,0,1,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,2,0,0,0,0,2,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0,2,2,1,0,0,2,1,0,0,0,0,1,0,1,2,1,0,2,0,0,0,0,1,0,0,1,0,1,1,2,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,2,1,0,1,0,0,1,1,0,0,0,1,1,1,1,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,0,1,0,0,0,1,1,1,1,1,2,0,1,2,1,0,1,0,0,0,1,1,0,0,1,1,1,0,0,1,0,2,0,0,1,1,0,0,0,0,1,0,0,2,1,0,1,0,0,0,0,0,0,2,1,1,0,0,0,1,0,1,1,1,0,1,1,1,2,0,1,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,2,0,0,1,1,2,0,0,0,0,0,2,1,2,0,0,2,2,0,2,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,2,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0,1,1,2,0,0,1,0,0,0,0,0,0,2,1,1,2,1,2,1,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,2,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,2,1,0,0,0,0,0,0,1,2,0,0,1,1,1,0,1,0,0,1,0,0,0,2,0,1,1,2,0,1,1,1,0,0,0,1,1,2,0,0,0,1,0,1,1,2,0,2,2,1,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,2,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,2,0,0,0,2,0,2,0,0,1,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0,2,1,1,1,0,1,0,0,0,1,0,2,0,0,0,0,2,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,2,0,1,1,0,0,1,0,1,0,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,2,1,1,2,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,2,1,1,1,0,1,1,1,1,0,0,0,0,2,0,0,1,2,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,1,1,2,1,0,1,0,1,0,0,1,1,1,1,0,1,1,2,0,0,1,1,1,1,2,1,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,1,1,0,0,2,0,2,0,1,0,1,0,0,1,2,0,0,1,1,0,1,0,1,1,0,0,2,0,0,1,0,1,0,1,1,1,1,0,0,0,2,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,1,2,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,1 1,0,1,2,0,0,0,1,0,1,0,0,0,0,1,0,0,2,1,0,0,0,0,0,1,0,1,2,0,2,0,0,0,0,1,0,1,2,0,1,1,2,1,2,1,0,0,1,0,1,2,0,0,0,0,0,2,0,2,1,0,0,1,1,0,1,0,2,0,1,1,0,2,2,2,0,0,1,0,0,1,0,0,2,0,0,0,0,1,1,0,2,0,0,1,0,0,0,1,0,0,2,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,2,1,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,2,0,0,0,0,1,0,2,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,2,0,0,1,1,1,2,0,0,0,2,0,0,1,0,1,1,1,0,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,1,0,1,2,0,0,0,1,1,0,1,0,0,1,1,2,2,0,0,1,1,1,1,0,1,0,2,0,2,0,0,1,2,1,1,0,0,1,0,1,2,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,2,0,1,0,0,0,1,2,0,1,0,2,1,0,1,1,0,0,0,0,0,0,1,0,0,1,2,0,0,1,0,0,2,1,1,1,0,1,0,0,1,1,1,1,0,0,0,2,0,0,0,1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0,1,1,0,1,1,2,0,1,2,0,1,0,0,1,0,1,1,1,0,0,1,1,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,2,1,1,1,1,0,1,0,1,1,1,1,0,0,0,2,0,1,1,1,0,0,0,2,0,2,0,1,2,0,0,0,0,1,0,0,0,0,0,2,0,1,0,2,1,1,0,0,0,2,1,1,1,2,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0,2,0,0,1,0,0,2,0,0,1,2,0,0,1,1,0,0,0,0,1,1,1,2,1,0,0,1,0,0,0,2,1,0,2,0,0,0,0,0,2,2,1,0,1,0,1,0,2,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0,0,1,1,1,2,2,0,0,2,1,0,0,0,1,0,1,0,1,1,1,2,1,1,0,1,0,0,0,1,1,0,0,1,0,0,1,1,1,1,0,2,0,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,2,0,1,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,2,0,1,2,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,2,0,1,2,1,1,0,0,1,0,1,1,0,0,1,1,2,0,0,0,1,1,0,2,0,0,1,1,0,0,1,1,0,2,0,1,0,2,0,2,0,1,2,1,0,1,0,0,2,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,2,1,0,0,1,1,1,0,2,1,0,0,0,2,0,1,0,1,0,1,0,0,2,1,1,1,2,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,2,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,2,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,1,0,1,2,1,1,1,0,0,0,0,1,2,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,1,2,1,0,1,0,0,1,2,0,0,1,1,0,1,1,0,1,1,2,0,0,1,0,0,0,1,2,0,1,0,1,1,0,0,1,1,2,1,0,0,1,0,0,0,0,0,0,0,0,1,2,1,0,0,1,2,0,1,0,1,2,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,1,2,0,0,0,0,2,1,1,0,0,0,0,0,1,1,0,1,0,0,0,2,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1 2,0,0,2,0,1,0,0,1,0,1,0,1,2,1,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,1,1,1,2,0,0,0,1,2,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,1,1,0,1,0,1,1,2,1,0,1,0,0,0,0,0,1,1,2,1,0,0,1,1,2,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,2,0,2,0,0,0,0,0,0,1,1,1,2,0,2,0,0,0,0,1,2,1,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,2,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,1,1,1,0,2,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,2,0,0,0,1,0,0,2,1,0,1,0,2,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,2,0,1,2,1,1,0,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,2,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0,1,1,2,1,1,1,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,1,1,1,1,1,0,0,1,0,2,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,2,0,0,0,0,2,0,0,0,0,0,0,2,1,1,0,0,0,0,1,0,0,0,0,0,2,1,2,0,0,1,0,1,0,0,1,0,1,2,0,1,0,0,1,0,1,2,0,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,2,0,0,0,0,0,0,2,2,2,0,1,2,2,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,2,0,1,0,2,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,0,2,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,2,0,0,1,0,1,1,2,0,1,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,2,1,0,1,0,1,1,0,0,0,0,0,1,2,0,1,0,2,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,0,2,1,1,0,0,1,0,0,0,1,1,2,1,0,0,0,0,2,0,1,1,0,1,0,1,1,1,1,1,2,1,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,2,0,1,1,0,0,0,0,1,0,2,0,0,0,1,2,0,0,1,1,1,0,2,1,0,1,1,0,1,0,2,0,2,0,0,2,1,1,0,2,1,0,0,2,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0,1,2,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,0,1,0,1,1,0,1,0,1,2,1,1,0,0,1,0,0,1,0,0,1,0,0,2,0,1,1,1,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,2,0,2,0,0,2,0,0,2,0,1,1,0,0,0,0,0,1,1,1,0,0,1,2,0,0,0,0,0,1,1,1,1,0,2,1,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0,1,2,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,1,2,2,1,0,1,0,1,0,0,1,0,1,0,0,1,0,2,0,0,1,0,1,1,0,0,0,0,0,0,0,2,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,2,0,1,0,1 1,0,1,0,0,1,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0,2,1,0,0,0,0,1,1,0,0,1,1,0,0,2,1,0,1,1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,2,0,1,1,1,1,2,1,0,0,0,0,1,2,1,0,0,1,2,0,1,2,0,0,0,1,0,0,1,0,1,1,0,2,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,0,2,0,1,1,0,1,1,1,1,0,1,0,1,2,1,1,0,0,0,0,2,0,0,1,0,1,1,1,1,1,0,1,1,2,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,2,0,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,1,1,1,1,0,1,1,0,1,2,1,0,0,0,1,0,1,0,0,0,0,2,0,0,2,0,2,0,2,0,0,2,1,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,2,1,0,1,1,2,0,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,2,2,0,1,0,1,0,0,2,1,1,0,0,1,2,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,1,0,1,2,0,0,0,2,0,1,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,1,1,2,2,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,2,0,0,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,2,0,0,0,1,2,0,1,0,0,0,0,0,1,2,0,0,1,0,1,1,0,0,0,0,2,0,1,0,1,1,0,1,0,1,2,1,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0,1,2,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,0,1,0,2,2,0,0,0,0,1,0,0,0,2,1,2,0,2,1,1,2,1,2,1,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,2,1,1,1,0,0,1,0,1,0,1,0,1,0,0,2,0,0,1,1,1,0,1,2,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,2,0,1,1,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,1,1,0,1,1,0,0,2,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,2,0,0,0,0,0,1,1,2,0,1,1,0,1,1,2,0,0,1,0,1,0,2,1,1,1,0,0,0,0,0,0,1,2,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,0,0,2,0,1,1,0,0,0,2,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,2,0,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,2,2,0,0,1,0,1,0,1,2,1,0,2,1,2,0,1,0,1,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,2,1,1,0,0,1,1,0,0,1,2,0,0,2,1,0,0,0,0,0,1,2,0,2,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,2,1,0,0,0,0,1,1,0,0,1,2,2,0,1,0,0,1,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,2,0,0,0,1,2,0,0,1,1,1,0,0,0,1,1,1,1,2,0,0,0,1,0,0,0,2,1,0,0,0,2,0,0,0,0,1,1 2,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,2,0,0,1,1,2,0,0,0,1,0,1,2,0,1,0,0,1,0,0,1,0,1,0,1,2,0,1,1,0,0,2,0,0,0,0,0,0,1,2,0,0,0,2,1,1,0,0,0,0,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,2,0,1,1,1,2,2,2,0,0,2,0,2,1,0,0,1,0,1,0,0,0,1,1,1,1,0,0,1,1,1,1,0,1,0,0,0,2,0,0,1,0,0,1,0,0,1,0,0,0,0,2,0,1,1,2,0,0,0,0,1,2,0,0,2,1,1,0,0,1,0,1,0,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,2,0,1,1,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,2,0,1,2,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,1,0,2,0,0,1,0,0,2,0,0,0,1,1,0,0,1,0,0,0,0,2,0,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,1,1,0,2,0,0,0,1,1,1,2,1,0,0,2,1,0,2,0,1,0,1,0,1,0,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,2,1,0,1,1,0,0,1,0,1,0,2,2,0,0,1,0,2,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,2,1,0,0,2,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,2,1,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,2,0,2,1,0,0,0,0,0,0,1,1,1,2,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,1,1,1,1,0,0,0,1,0,2,1,0,1,0,0,0,0,2,0,1,0,1,1,0,0,0,2,1,1,1,0,2,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,2,0,0,2,0,0,1,0,0,2,0,2,0,0,2,1,0,1,0,0,1,1,0,1,0,1,2,2,1,0,0,2,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,2,0,1,1,0,0,0,0,2,0,2,1,1,0,0,0,1,0,0,0,0,1,0,2,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,2,0,0,0,1,0,1,0,0,1,2,0,0,1,1,0,1,0,0,1,1,2,0,0,1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,2,0,0,2,1,0,0,1,1,0,2,0,1,0,1,0,1,0,0,0,0,2,2,0,1,0,0,2,0,0,0,0,2,1,1,0,0,0,0,1,2,1,1,1,0,0,0,0,0,2,0,2,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,2,0,0,2,0,0,0,0,0,1,2,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,2,2,1,0,0,0,1,0,2,1,2,0,0,0,0,1,1,0,1,0,1,1,1,0,0,1,0,0,1,2,1,1,0,0,1,0,1,1,0,0,1,0,0,2,0,0,0,0,0,0,2,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,1,0,2,0,2,1,1 1,0,2,1,1,0,0,0,0,1,1,0,0,1,0,0,1,2,2,0,0,0,1,1,1,2,2,2,0,1,1,0,0,1,1,0,1,1,0,0,0,2,0,1,0,0,0,2,0,1,1,0,1,0,0,0,2,0,1,2,0,0,0,0,1,1,0,2,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,2,0,0,0,1,1,1,0,0,0,0,0,2,0,1,1,0,1,0,2,0,0,0,1,1,0,0,2,0,1,0,1,1,1,2,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,1,1,2,0,1,1,2,1,0,0,0,1,1,0,2,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,2,0,2,2,0,0,0,2,2,1,1,0,0,0,0,0,0,2,2,0,1,0,0,1,1,1,0,0,1,2,0,1,0,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,1,1,1,1,0,0,1,1,0,2,1,1,0,0,0,0,1,1,0,0,1,1,0,1,0,1,0,1,1,2,0,0,0,2,0,0,1,0,1,0,2,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,1,0,2,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,1,1,1,1,2,0,1,1,0,1,0,0,1,1,0,0,2,1,0,1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,1,2,0,1,0,0,0,0,0,0,1,1,1,2,1,0,0,1,1,0,2,2,0,1,0,0,1,0,0,0,0,2,1,0,0,0,0,2,0,2,2,0,1,0,0,2,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,1,2,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,2,1,2,1,0,0,0,0,0,0,1,1,2,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,0,2,1,1,0,0,0,1,0,1,1,0,1,2,0,1,0,0,2,2,1,1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,2,0,1,1,1,0,0,0,0,0,2,0,1,0,0,0,2,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,2,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,2,0,0,0,0,0,1,0,1,0,2,0,0,0,0,1,2,0,0,0,0,2,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,2,0,0,0,1,1,0,0,0,0,2,1,1,1,1,0,0,0,1,0,1,2,1,1,0,0,0,1,0,1,2,0,0,0,1,0,1,0,0,0,2,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,2,1,1,0,2,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,2,2,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,2,1,0,2,0,0,2,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,2,0,0,0,1,0,1,1,1,0,0,1,0,0,1,0,2,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1 0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,2,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0,1,1,1,1,2,0,0,0,0,1,1,0,0,1,0,1,1,1,2,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0,0,2,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,2,1,0,0,1,1,1,1,0,0,0,1,2,0,2,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,2,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,1,1,0,2,1,0,0,1,0,1,0,1,0,2,1,1,0,2,0,1,1,0,1,0,1,1,1,1,1,0,0,1,0,1,0,1,2,0,2,0,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,1,2,1,0,1,0,0,1,1,0,0,0,1,0,0,2,1,0,0,0,2,1,0,0,0,1,0,2,0,1,0,0,0,0,1,1,1,1,0,2,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,1,1,1,1,0,2,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,1,0,0,2,0,0,1,0,1,1,1,0,0,0,1,0,0,1,2,1,0,0,1,0,0,2,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,2,1,0,1,0,2,0,1,0,1,1,1,0,0,2,0,2,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,2,0,0,0,1,2,2,0,1,0,0,0,1,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,1,2,0,0,0,0,0,2,0,1,0,2,0,1,1,1,2,0,0,0,0,1,0,0,1,0,1,2,2,0,1,0,0,1,0,1,1,1,1,1,0,0,0,2,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,2,0,0,0,1,0,0,0,2,0,2,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,2,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,1,1,2,0,0,0,0,2,1,0,2,0,1,1,0,0,0,1,0,1,0,2,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,1,2,1,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,1,1,0,1,1,0,2,1,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,2,1,0,0,0,0,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,2,0,1,0,0,0,1,0,1,1,1,2,2,0,1,1,0,0,0,2,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,2,0,0,2,1,1,0,0,0,2,0,1,0,2,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,2,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,2,1,0,2,1,1,0,0,0,0,0,0,0,1,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,2,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,2,0,1,1,2,1,0,0,2,1,0,0,0,1,0,1,1,1,0,0,0,0,0,1,1,0,2,0,0,0,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,0,1,0,0,0,1,0,1,2,0,1,0,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0,1 0,0,1,0,0,1,1,1,0,2,1,1,0,2,0,0,0,1,0,0,0,1,0,0,1,0,2,1,1,1,0,0,1,1,2,0,1,2,1,0,0,2,0,2,1,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,0,0,2,0,1,0,1,0,0,0,1,0,1,1,0,0,1,0,2,1,0,1,0,0,1,1,2,2,0,1,0,0,0,0,0,0,2,1,1,2,0,1,0,0,1,0,2,1,0,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,1,0,1,0,1,2,0,1,0,0,0,1,1,1,1,1,2,1,0,0,0,0,1,0,1,1,1,0,1,2,0,2,0,2,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,2,1,0,0,0,1,0,1,1,0,0,0,2,0,0,0,0,2,1,1,0,2,1,1,0,1,2,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,1,2,0,0,2,0,2,1,1,1,0,1,0,0,0,1,2,2,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,0,2,2,0,2,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,2,0,0,0,0,1,0,0,0,1,2,0,0,0,1,0,1,0,0,1,2,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,0,1,1,0,2,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,1,1,0,1,2,0,0,0,1,1,2,1,0,0,2,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0,2,0,0,1,2,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,1,0,0,1,1,1,0,2,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0,2,1,1,1,1,1,0,0,1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,2,0,1,0,0,0,1,2,1,2,0,1,1,0,2,1,0,2,0,1,0,1,0,2,0,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,1,0,0,1,2,0,0,0,1,1,1,0,0,1,1,1,0,0,2,1,1,0,0,1,0,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,1,2,1,0,0,0,2,0,2,1,0,1,1,1,1,0,0,0,1,1,0,0,2,0,0,2,0,0,2,0,1,0,2,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0,1,2,1,0,1,2,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,2,0,1,1,1,0,0,0,0,0,0,2,0,2,0,0,2,2,1,0,0,0,0,2,0,1,1,0,1,1,0,0,2,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0,2,1,1,2,1,1,2,0,0,1,1,1,0,0,1,2,0,1,1,0,0,0,0,2,0,0,1,1,2,0,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,2,1,0,0,0,1,2,0,0,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,2,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,1,1,0,2,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,1,1,0,1 1,0,0,2,0,0,1,1,0,1,1,1,0,1,1,1,0,2,2,0,0,0,0,0,1,0,2,2,0,2,1,0,1,1,0,0,1,0,1,0,1,1,1,1,1,1,1,0,0,1,1,0,0,0,2,0,2,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,0,0,2,1,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,2,0,1,0,2,0,0,0,0,0,0,0,2,0,2,1,2,1,1,0,0,0,0,2,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,1,1,1,0,0,1,2,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,2,2,1,0,1,1,2,0,1,0,0,0,0,0,1,0,1,0,0,0,0,2,0,1,2,2,1,2,0,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,1,1,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,1,1,2,0,0,2,1,0,1,0,0,0,1,0,0,0,0,2,1,0,2,1,1,0,0,2,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,2,1,1,0,0,2,1,0,0,0,1,0,2,2,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,1,0,0,1,1,0,1,0,0,0,0,2,0,1,0,0,0,0,0,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,2,1,0,1,0,0,1,0,0,2,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,2,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,2,0,1,1,0,1,1,1,0,2,0,1,0,0,1,0,1,0,1,1,0,0,0,0,1,2,1,1,0,1,1,1,0,1,0,1,0,0,2,2,0,1,0,0,2,0,2,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,2,0,0,1,0,1,0,0,2,2,1,1,0,2,1,0,0,1,0,0,1,2,2,1,1,0,2,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,2,0,0,0,1,1,2,0,1,0,0,0,0,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,1,0,1,2,0,0,1,0,0,2,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,2,1,0,0,2,0,2,1,1,0,1,0,1,2,0,0,2,1,1,1,0,1,2,0,0,0,0,0,2,1,2,1,1,1,1,0,0,0,2,0,0,1,0,1,2,1,1,0,0,0,2,0,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,1,2,0,0,0,0,1,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,0,2,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0,1,1,2,0,1,2,0,1,0,0,0,1,0,1,0,1,0,0,0,1,2,1,0,0,2,0,1,0,0,1,1,1,1,0,1,0,0,0,1,2,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,2,0,1,1,1,0,0,0,0,2,2,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,1,0,1,0,1,0,1,2,0,0,0,1,0,0,2,1,1,1,1,0,0,1,2,0,1,0,0,0,1,0,1,0,1,1,1,0,0,1,0,2,1,0,0,1 2,0,1,1,0,0,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0,2,1,1,0,1,0,2,0,1,1,0,0,0,0,0,0,0,2,0,0,2,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,1,2,2,0,0,1,1,2,0,2,0,1,1,0,0,0,0,1,1,2,1,0,0,0,0,1,2,0,0,1,0,1,0,2,0,1,1,0,0,0,0,1,1,0,1,1,2,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1,1,2,0,0,0,0,0,1,0,2,0,2,1,0,0,0,0,0,0,1,1,0,0,2,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,2,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,2,2,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,2,1,0,0,0,0,2,1,0,1,0,0,1,1,1,0,1,0,0,1,2,2,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,2,1,1,0,1,2,0,0,1,0,0,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0,2,0,0,0,0,0,1,1,0,1,1,0,0,2,1,0,1,0,0,1,0,0,2,0,0,0,1,1,1,0,1,0,1,0,2,1,2,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,1,2,1,2,2,0,0,0,0,1,0,0,2,1,2,0,0,0,1,1,0,0,0,1,0,0,0,0,1,2,1,1,1,1,0,1,0,1,2,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,2,1,0,1,0,0,0,0,1,2,1,0,0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,2,1,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,1,0,1,0,1,1,0,0,0,1,0,0,2,0,0,0,0,0,0,0,2,1,2,0,0,0,1,2,0,0,1,0,0,0,1,0,0,0,0,0,1,0,2,1,0,0,1,0,1,0,2,0,0,1,0,2,0,1,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,2,2,0,1,0,0,0,1,2,0,1,2,1,1,1,0,1,1,0,0,1,0,0,2,0,1,0,2,1,1,0,1,0,0,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,2,0,0,0,0,0,2,1,1,0,1,0,2,0,0,0,2,0,2,0,0,0,1,0,0,0,1,1,0,2,0,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,2,0,0,0,1,0,0,1,0,1,0,1,0,1,0,1,2,0,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,2,0,0,0,2,0,0,0,0,1,1,0,0,0,2,0,0,0,1,1,0,2,0,0,1,0,1,0,0,0,0,0,0,1,2,1,2,2,0,1,0,0,0,2,0,0,1,1,2,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,1,1,1,2,0,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,1,1,1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0,2,1,0,1,1,0,0,0,1,2,1,0,0,0,0,1,0,1,2,0,0,0,1,0,1,0,0,2,0,0,0,0,1,0,2,1,0,1,0,2,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,2,0,0,0,0,0,0,0,1,1 0,0,1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,2,0,1,0,0,0,2,0,1,1,0,0,0,2,1,0,0,1,0,1,1,0,0,1,0,0,2,0,0,1,1,1,1,1,0,0,1,1,1,0,2,0,1,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,1,1,1,1,0,0,0,2,0,0,0,1,1,0,0,1,1,0,0,0,1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,2,0,1,0,0,1,1,0,1,0,0,0,2,0,0,1,2,1,2,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,1,2,1,1,2,0,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,2,0,1,0,0,1,0,0,1,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,2,0,0,0,0,0,0,0,2,1,0,1,1,0,2,1,1,0,0,1,1,1,1,2,0,2,1,0,0,0,2,0,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,1,2,2,1,0,2,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,1,0,0,1,0,0,1,1,1,2,1,0,1,0,0,1,0,0,1,1,2,1,2,1,1,0,0,1,0,0,1,0,0,0,1,1,0,0,1,1,1,0,0,2,1,1,0,1,0,0,2,0,1,0,0,0,0,1,1,2,1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,2,1,1,2,2,0,1,1,0,1,0,0,0,1,0,1,0,1,0,2,0,1,0,0,1,1,0,1,1,0,2,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,2,2,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,2,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,2,2,1,0,0,0,2,1,1,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,2,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,1,1,1,1,0,0,0,0,2,0,0,0,0,0,1,2,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,2,1,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,2,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,2,1,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,2,0,0,2,2,1,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,2,2,1,0,1,2,0,0,1,1,0,0,0,0,1,2,1,0,0,0,0,1,0,1,1,1,1,1,2,0,0,1,0,2,0,0,0,0,1,1,0,2,2,1,1,1,0,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,2,0,1,0,0,0,0,2,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,2,0,0,1,0,0,1,0,1,1,1,0,0,0,0,2,0,0,1,0,0,0,0,0,1,2,0,0,0,0,2,0,0,1,1,0,0,2,1,0,0,1,2,1,2,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,2,1,0,0,1,1,1,0,0,0,0,0,1,2,0,0,0,0,0,1,1,0,1,0,0,1,1,2,0,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,2,0,1,0,1 1,0,0,0,1,0,1,1,0,1,1,1,1,1,0,0,0,2,1,0,0,0,0,0,1,0,1,1,0,0,2,0,0,2,1,0,1,1,1,0,0,2,0,0,1,2,0,0,0,0,2,0,0,0,1,0,0,0,2,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,2,1,0,1,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,1,1,1,1,0,0,0,2,2,1,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,2,1,1,0,1,0,0,0,0,1,1,0,0,0,2,0,0,1,0,0,1,0,0,2,1,0,1,0,0,0,2,0,0,1,0,1,1,0,1,0,1,1,0,0,0,0,2,0,1,1,1,2,1,2,2,0,1,0,1,1,1,0,0,0,0,0,2,1,1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,2,0,0,1,1,0,0,0,0,2,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,2,1,1,1,0,0,1,0,1,2,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,2,0,1,2,1,0,0,1,2,0,1,1,1,0,0,2,0,2,1,2,0,1,0,1,0,0,0,1,1,1,2,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,2,0,1,0,0,1,0,2,0,1,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,1,2,1,0,0,0,0,1,1,0,0,1,2,0,0,1,1,2,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,2,2,0,1,0,0,1,0,1,0,1,2,0,0,1,0,0,0,1,0,0,1,0,1,1,2,0,0,0,1,2,0,0,1,0,0,2,1,0,0,0,0,0,1,1,1,0,2,2,1,0,1,1,1,1,1,2,1,2,0,0,1,0,1,1,1,0,0,0,1,1,1,0,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,1,0,2,0,0,0,1,0,0,0,2,0,1,0,2,1,0,0,1,1,1,0,1,2,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,2,0,2,0,0,1,1,2,1,0,0,1,2,2,2,1,2,0,0,0,2,0,0,1,1,0,1,1,0,1,1,1,1,1,0,2,0,1,0,1,0,2,0,0,0,1,1,0,0,2,0,0,1,0,0,1,0,1,0,0,0,0,1,1,1,0,1,2,1,0,1,0,0,0,0,0,1,1,1,1,0,1,0,2,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,2,0,1,0,1,1,2,0,0,1,0,0,0,1,0,0,0,1,0,2,0,0,2,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,1,1,2,1,0,1,2,0,0,0,1,0,1,1,1,1,0,0,0,0,0,1,2,0,0,0,0,1,1,0,0,1,2,0,0,0,1,0,0,1,2,0,0,0,0,1,2,0,2,1,0,0,0,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0,2,1,1,1,1,0,0,1,1,1,0,0,2,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,2,0,0,0,2,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,2,1,1,1,0,0,1,1,2,1,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,2,0,2,0,0,0,0,1,1,1,0,0,0,1,0,2,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1 1,0,1,2,1,0,0,1,1,1,1,0,1,1,1,0,2,1,0,0,0,0,0,0,1,1,1,1,1,0,0,1,2,2,1,0,1,0,0,0,0,1,1,1,0,0,1,1,1,1,2,0,0,0,0,0,1,0,1,1,0,0,0,0,2,0,1,1,0,1,2,0,2,1,0,0,1,1,0,0,0,0,1,0,1,0,1,1,1,0,2,1,0,0,0,1,0,0,2,1,2,1,1,2,0,0,0,0,0,1,1,0,0,2,1,2,0,2,0,1,2,0,0,0,0,0,0,1,2,0,1,0,0,2,0,0,0,2,1,1,1,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,2,1,0,1,0,1,1,0,0,0,2,0,2,1,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,2,0,1,1,1,0,2,0,0,1,1,0,1,1,0,0,0,2,1,1,0,2,0,0,1,0,2,1,0,0,2,0,1,2,2,1,1,0,0,2,0,0,0,0,0,2,1,0,0,2,1,0,0,1,0,1,0,0,2,0,0,0,0,1,0,0,0,1,0,0,1,2,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,2,1,1,1,0,0,2,2,0,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,2,0,0,0,0,1,0,2,1,1,1,0,0,1,1,0,0,1,0,2,0,0,2,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,1,1,0,0,1,2,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,2,0,0,0,1,0,1,0,1,0,1,0,0,1,1,0,2,2,0,0,0,0,1,0,2,1,0,0,0,2,0,1,0,0,0,1,0,0,2,1,1,1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1,1,1,2,0,1,0,1,0,0,0,1,1,0,0,0,1,0,2,1,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,1,2,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0,1,2,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,2,2,1,2,1,2,0,0,1,0,2,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,1,2,2,1,1,1,0,0,2,1,1,0,1,0,0,1,2,0,0,0,1,0,0,0,0,2,1,0,0,2,0,1,0,2,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,2,0,0,0,0,1,0,1,1,0,0,2,0,0,2,0,1,1,0,2,0,0,0,0,1,2,0,0,0,1,0,0,1,1,0,0,1,0,2,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,1,1,2,0,2,0,0,0,1,0,0,0,1,2,0,2,0,0,0,0,0,1,0,1,0,0,1,2,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,2,0,0,2,1,1,0,0,0,1,1,0,0,0,1,1,0,1,2,1,0,2,0,0,1,2,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,0,0,1,1,0,1,2,0,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,2,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,2,0,1,2,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,2,1,2,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0,1,1,2,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,1 1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0,1,1,2,0,0,1,0,2,0,0,1,0,0,1,0,0,0,0,0,1,2,1,1,0,2,0,0,1,1,0,2,2,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,1,0,0,2,0,1,1,0,2,2,2,0,0,1,0,1,1,0,1,1,1,2,1,2,1,0,1,1,0,0,2,0,1,2,2,1,0,0,0,0,0,0,0,1,0,1,0,1,1,2,1,2,1,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,1,1,0,1,0,0,0,0,1,0,0,0,2,2,1,1,0,2,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,2,0,1,1,0,0,1,2,0,1,0,0,0,0,0,1,1,1,2,0,1,0,0,0,2,2,1,0,0,2,0,1,0,0,0,1,0,1,0,0,0,0,0,2,0,1,0,0,1,0,0,2,1,0,2,1,0,0,0,1,0,0,1,0,0,0,0,1,0,2,0,0,0,0,1,0,2,0,0,0,1,0,1,0,0,0,0,0,1,2,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,0,0,2,0,0,0,0,1,1,0,0,2,1,1,0,0,0,1,0,1,0,0,0,0,0,1,1,1,0,2,1,0,1,0,0,0,0,1,2,0,0,1,1,1,1,1,1,1,1,0,0,0,2,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,2,1,0,2,1,1,1,1,1,0,1,1,0,0,0,0,1,2,0,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,2,1,0,0,0,0,0,2,1,0,0,2,1,1,0,0,0,1,0,2,1,0,0,1,0,1,0,0,0,0,1,1,1,1,2,1,0,1,0,1,0,0,0,0,0,2,1,0,1,1,0,0,2,1,0,0,2,2,0,0,0,0,1,0,0,0,0,0,1,0,1,2,0,0,2,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,2,0,2,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,1,0,2,1,0,0,1,1,1,2,0,1,2,0,0,0,0,1,0,0,1,0,0,0,2,1,0,0,2,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,2,0,0,2,1,0,0,1,1,0,0,1,1,1,1,1,1,0,0,1,2,1,0,1,0,1,2,1,0,0,0,0,0,1,0,0,2,0,0,0,2,1,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,2,1,1,0,0,1,0,2,1,0,2,0,1,1,0,1,2,1,1,0,1,2,1,0,1,0,2,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,1,0,0,0,1,2,0,2,2,0,1,0,1,1,0,0,1,0,2,1,2,1,0,1,0,2,0,0,0,0,0,1,1,0,0,0,1,0,2,0,2,0,0,1,0,0,0,1,0,0,0,0,2,0,1,0,1,0,0,1,1,0,0,2,1,0,1,0,0,1,2,0,0,0,1,1,1,1,2,1,1,1,0,1,0,0,0,0,1,1,1,2,0,1,0,0,1,2,1,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,1,0,0,2,0,2,0,0,0,0,0,1,0,1,0,1,1,1,0,2,1,1,0,1,1,1,0,0,1,0,1,1,2,1,1,0,0,1,0,2,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,2,0,0,1,1,2,0,0,0,1,0,1,2,0,1,0,0,0,0,1,0,0,0,0,0,1,1,1,2,0,1,0,0,1,1,0,1,1,1,2,0,2,0,0,1,0,0,0,0,1,0,0,1,0,0,2,1,0,1,1,0,0,0,2,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1 1,0,1,0,0,0,0,0,1,1,1,1,0,1,1,0,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,1,0,2,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,2,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,1,0,2,0,1,2,0,0,0,0,2,0,1,0,1,0,0,0,2,1,0,0,1,2,0,1,0,1,0,1,0,1,1,0,0,2,1,0,1,0,1,1,2,0,1,0,1,1,0,0,0,1,1,1,2,1,1,1,2,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,2,0,1,0,1,0,0,1,1,2,0,1,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,2,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0,1,1,1,0,2,0,2,0,0,0,0,1,2,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,2,0,0,2,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,2,1,0,0,0,0,1,0,0,1,0,0,0,0,2,1,1,0,0,0,0,1,1,2,0,0,0,0,2,0,0,1,1,0,2,1,1,0,0,0,1,2,0,1,0,0,2,1,0,0,1,0,1,0,1,2,1,0,0,1,0,0,2,0,1,0,1,1,0,2,1,0,0,0,1,0,1,1,0,1,2,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,1,2,0,2,0,1,2,0,1,1,1,1,0,1,0,1,1,0,2,1,0,1,0,0,0,1,0,1,0,1,2,0,2,0,0,1,1,1,0,1,1,2,0,0,0,1,0,1,1,0,2,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,1,2,0,1,0,0,2,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,2,0,1,0,0,0,0,0,0,1,1,0,1,2,0,0,1,2,0,2,0,0,1,0,0,1,0,0,2,0,0,0,1,1,1,1,2,2,0,0,2,0,0,1,0,0,1,0,0,2,1,0,0,1,2,1,0,2,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0,2,1,0,0,2,1,1,0,1,2,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,1,0,0,0,1,1,1,0,1,0,0,0,0,1,0,1,1,1,1,2,0,0,1,2,0,0,1,0,0,2,0,0,0,2,0,2,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,2,0,0,1,2,2,2,1,0,2,2,1,0,1,0,1,1,2,0,0,0,0,2,2,1,1,2,0,0,0,0,0,1,1,0,0,1,0,2,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,2,1,0,1,0,0,2,1,1,1,2,1,1,0,0,0,0,1,0,0,1,0,2,1,0,0,2,1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0,0,1,0,1,1,1,0,2,0,1,1,0,1,1,1,0,0,1,0,0,2,0,2,0,1,0,1,1,2,0,0,0,0,0,0,2,1,0,2,1,0,1,0,1,0,0,0,0,1,0,0,1,2,2,2,0,1,0,1,2,2,1,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,1,2,1,0,0,2,0,0,0,0,0,0,0,0,2,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,1 1,0,2,2,0,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,2,1,0,2,0,0,0,0,0,1,0,0,1,2,2,0,2,1,0,0,1,0,0,2,1,0,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0,0,1,2,0,2,2,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,2,0,2,1,1,1,0,1,0,0,0,2,2,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0,2,0,1,2,0,1,2,0,0,0,1,1,1,0,1,1,1,2,2,2,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0,1,2,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,1,0,1,1,1,2,1,0,1,1,0,1,0,2,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,2,0,0,1,1,0,2,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,2,1,1,0,1,0,0,1,2,1,1,0,0,0,2,0,2,0,0,0,1,0,0,1,0,0,2,0,1,0,1,0,1,0,1,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,2,1,2,0,0,0,1,1,2,0,1,2,1,1,0,1,1,0,2,0,1,0,0,0,1,0,1,0,1,1,1,1,1,1,2,0,1,1,2,1,0,0,1,1,0,1,0,0,0,1,0,1,0,2,0,1,1,1,1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,2,1,1,0,0,0,1,0,0,0,1,1,0,1,0,1,2,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,2,0,1,0,0,1,1,0,1,1,0,0,1,1,2,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,2,0,0,1,1,1,1,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,1,0,1,2,0,0,2,0,0,1,2,0,0,0,1,1,1,0,2,1,1,0,2,0,0,0,1,0,0,2,1,0,1,0,0,2,2,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,2,0,2,0,0,1,1,0,0,1,0,1,2,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,1,0,1,1,2,0,1,0,1,1,2,0,0,1,0,1,1,1,0,1,0,1,1,0,1,1,0,1,0,1,1,1,2,0,0,0,0,0,1,0,1,1,0,1,0,2,1,0,1,0,0,0,0,0,1,2,1,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,2,1,1,1,1,0,0,1,0,0,1,2,1,2,1,0,2,1,0,0,0,2,0,0,0,0,1,1,0,1,2,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,2,1,1,0,1,2,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0,1,2,0,0,0,1,0,0,0,0,1,0,2,0,1,0,0,1,0,2,0,1,0,0,1,1,0,0,0,0,0,0,2,0,1,1,0,0,1,2,0,1,1,1,0,0,0,0,0,0,0,0,1,2,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,2,0,0,1,0,0,1,0,0,2,0,2,1,2,1,0,1,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,1 0,0,0,1,0,1,0,2,1,0,1,0,0,2,1,1,0,1,2,0,0,0,1,0,1,1,0,2,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,2,0,0,0,1,0,0,1,0,2,1,0,2,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,2,1,2,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,0,2,1,0,2,0,0,0,0,1,1,0,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0,2,1,1,1,0,0,0,1,0,1,0,2,0,2,0,1,1,0,1,0,0,1,0,2,1,0,1,0,2,0,0,0,1,0,2,0,1,0,0,2,1,0,2,0,0,0,1,0,0,1,0,0,0,2,0,0,2,0,1,1,0,0,1,1,1,2,1,1,0,0,2,0,0,0,0,0,1,2,0,1,0,2,0,1,1,1,0,1,0,0,0,0,1,0,1,1,1,0,1,1,0,1,0,0,1,0,2,2,0,0,0,0,0,1,0,0,1,0,0,1,1,1,1,1,1,0,1,1,2,0,0,0,0,2,0,1,1,0,0,0,1,1,1,0,0,0,1,1,2,0,0,1,0,0,0,1,0,0,2,0,0,0,1,0,2,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,2,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,1,1,2,0,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0,1,0,2,2,1,0,1,0,2,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,2,0,2,0,0,1,1,0,0,1,0,1,0,2,2,1,1,1,0,0,1,2,0,0,0,2,0,0,0,1,2,0,1,2,2,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,2,0,0,2,0,0,0,1,1,1,1,0,0,1,0,0,0,1,2,2,0,0,1,0,0,1,1,0,0,0,2,1,1,1,1,1,1,2,1,1,0,0,1,0,0,0,2,1,0,2,1,1,0,2,2,1,0,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,0,2,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,2,0,0,1,1,1,1,0,0,0,1,1,2,0,1,0,1,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,2,0,1,0,1,0,0,0,0,0,1,2,1,0,0,1,0,1,0,1,0,2,0,0,1,2,0,0,1,1,0,0,2,0,1,0,1,0,1,0,0,1,0,2,1,2,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,2,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,2,1,0,1,2,1,0,0,1,0,0,0,1,0,1,1,1,1,0,1,0,1,2,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,1,2,0,2,1,1,1,1,0,2,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,1,1,2,2,1,0,0,2,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,2,1,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,0,1,2,2,0,0,1,0,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,1 1,0,0,1,1,1,0,0,0,0,2,0,0,2,0,1,0,1,1,0,0,0,0,1,2,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,1,2,0,2,1,1,1,2,1,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,2,1,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0,2,0,0,1,1,0,1,0,0,2,1,1,1,0,0,0,2,0,0,1,1,2,2,1,1,0,0,1,0,1,0,2,0,0,1,1,1,0,1,0,1,2,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,1,1,1,1,2,0,0,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,2,2,2,1,0,1,0,1,2,1,0,1,0,0,2,1,0,0,1,0,1,0,0,1,1,2,0,2,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0,2,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,1,1,1,1,1,2,0,1,1,0,0,1,1,0,1,2,0,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,1,2,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,2,2,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,1,1,1,0,0,2,1,2,2,1,0,0,2,1,1,2,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,2,1,1,1,1,0,2,0,0,0,1,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,2,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,1,0,2,0,0,0,0,2,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,2,1,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,2,0,0,0,0,0,0,0,1,1,0,0,1,1,0,2,1,0,2,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,2,1,1,0,1,0,1,1,2,2,1,1,0,2,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,1,0,1,0,2,0,0,0,1,0,1,1,1,0,1,0,0,1,1,0,1,2,2,0,1,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,0,2,0,0,1,0,2,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,2,0,1,1,1,0,0,0,0,1,2,1,1,0,0,1,0,0,0,2,2,0,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,2,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,1,1,2,0,2,1,0,0,1,1,1,0,0,2,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0,2,0,1,2,0,1,0,1,2,2,2,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,2,0,1,1,0,0,2,0,0,0,1,1,1,0,0,2,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,2,2,0,0,1,0,1,2,2,2,1,0,2,0,0,1,1,2,1,1,0,0,0,2,1,2,0,0,0,1,0,0,1,1,1,2,0,0,0,0,1,0,0,0,1 2,0,0,0,0,0,0,1,1,0,1,1,0,1,2,0,1,1,2,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0,2,0,0,0,0,0,1,0,2,0,1,0,0,2,2,0,0,2,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,2,1,2,0,1,1,2,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,2,0,1,0,0,0,0,0,1,0,0,1,0,2,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,2,1,0,1,0,0,0,1,1,1,1,1,0,1,0,2,0,2,1,0,2,0,0,1,2,0,0,0,1,0,1,2,0,0,2,0,0,0,1,0,0,0,2,1,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,2,0,0,1,0,1,0,1,0,1,0,0,0,1,1,0,1,0,1,1,0,0,1,0,0,0,2,0,0,0,0,0,1,0,2,2,0,0,1,1,0,0,2,0,1,0,0,1,1,1,1,0,0,0,2,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,2,1,1,0,0,1,1,0,2,1,0,0,0,0,0,0,1,0,1,0,1,1,2,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,2,0,0,1,1,1,0,1,2,1,1,0,1,0,0,0,0,2,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,2,1,1,0,0,0,0,0,0,2,1,1,2,2,1,1,0,2,0,1,0,2,1,0,0,1,1,0,1,1,1,0,0,1,2,1,0,0,0,1,1,0,0,1,1,0,1,0,0,0,2,0,1,0,0,0,1,0,0,2,0,1,0,1,1,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,2,1,0,0,2,2,1,1,0,1,1,1,0,0,2,1,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,1,0,2,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,1,2,1,0,0,0,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,2,1,1,0,2,1,0,1,1,0,1,0,1,1,2,2,0,1,1,0,1,1,1,0,2,0,1,1,0,1,0,1,1,2,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0,1,1,1,1,0,0,1,1,2,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,1,1,0,0,0,1,1,2,1,1,1,0,0,1,0,2,0,0,0,0,0,0,2,0,0,1,2,0,1,1,0,0,0,0,0,0,0,0,2,0,2,0,1,0,2,0,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,1,2,0,0,0,0,0,1,1,1,1,1,1,2,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,2,2,0,1,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,1,1,2,1,1,0,1,0,2,0,0,0,2,0,0,0,1,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,1,2,0,2,0,1,2,0,1,1,0,0,0,0,1,0,0,0,1,0,2,0,2,0,1,0,1,0,0,0,0,1,1,1,2,2,0,0,0,2,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,1,2,0,0,0,2,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,1,2,0,0,1,0,1,1,0,2,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,2,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,1 1,0,1,2,0,0,0,2,2,0,0,1,0,2,2,0,0,2,0,0,0,0,0,0,2,1,1,2,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,1,1,1,1,1,0,0,1,0,0,0,2,0,1,0,0,0,0,0,1,1,0,1,0,2,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,2,1,0,0,1,0,2,0,0,0,1,1,2,0,0,0,2,0,0,0,1,0,0,0,1,0,0,2,2,0,1,1,0,1,2,1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,2,1,0,0,0,0,0,0,1,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,2,2,0,2,0,1,0,0,0,1,0,1,0,2,0,1,0,1,1,1,1,2,2,0,0,1,0,1,1,0,1,0,0,0,0,0,0,2,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,2,1,2,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,2,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,1,0,2,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,2,0,1,1,2,2,0,2,0,2,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,2,2,2,1,1,1,1,0,0,0,2,1,0,1,0,0,1,0,1,0,0,1,0,1,0,1,2,1,0,0,1,0,1,0,1,0,1,0,0,0,0,1,2,2,0,1,0,1,0,0,1,2,0,1,0,1,1,1,0,1,0,0,0,2,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,1,2,0,0,2,0,2,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,2,0,0,1,2,0,1,0,1,0,0,2,0,0,0,1,1,1,0,0,2,1,1,1,2,0,0,0,2,1,1,0,2,1,0,0,0,0,1,0,1,0,0,2,1,0,0,0,0,1,1,0,0,1,1,0,1,0,1,0,1,1,1,2,0,0,0,0,0,1,1,2,0,1,1,0,2,0,1,1,2,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0,0,0,2,2,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,1,1,0,0,1,0,1,2,1,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,2,1,2,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,2,0,2,0,0,2,1,0,0,0,1,0,1,0,1,0,0,0,0,1,1,1,0,2,0,0,2,0,0,1,2,0,0,1,0,1,2,0,0,0,0,0,1,0,1,0,0,1,1,0,1,2,0,2,0,0,0,1,0,1,1,1,1,1,1,2,1,0,0,0,0,1,1,0,2,1,0,1,0,0,2,2,0,0,0,0,1,1,1,1,0,1,1,0,0,2,1,0,0,2,0,1,0,0,1,0,0,2,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,1,0,0,1,1,1,0,2,0,2,0,0,0,0,1,0,1,0,0,1,2,0,0,0,1,0,1,0,2,0,0,0,0,2,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,2,1,0,0,0,0,0,0,0,1,0,1,2,0,1,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,2,0,0,0,1 0,0,1,1,1,0,0,1,1,1,2,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0,2,0,0,1,2,2,1,1,0,1,0,2,2,1,1,0,0,0,2,0,2,1,0,0,0,0,0,1,0,1,0,2,1,0,0,0,2,1,0,0,0,2,0,0,0,0,0,2,0,1,1,0,0,0,0,1,1,0,0,1,1,1,2,0,2,1,1,2,1,1,0,1,1,1,1,0,0,1,1,2,1,0,1,1,0,0,0,0,1,0,1,2,1,2,0,0,0,2,0,0,0,0,1,0,0,0,1,0,2,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,1,0,2,0,0,0,1,0,1,1,0,1,1,0,2,0,0,0,0,1,2,0,0,0,0,0,1,1,0,0,0,0,2,0,0,2,1,0,0,0,0,0,0,0,0,2,0,0,1,0,0,2,1,0,0,2,0,0,1,0,0,1,0,0,0,1,0,0,1,2,2,0,0,0,0,0,1,1,0,1,1,0,0,2,1,0,0,1,1,0,0,0,0,0,2,1,1,0,1,1,1,0,0,1,2,1,1,0,1,0,0,1,0,2,1,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,1,0,1,0,1,1,1,1,2,0,1,0,1,1,2,1,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,1,1,1,0,1,2,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,1,1,0,0,0,1,1,0,0,1,2,0,1,0,1,0,0,0,2,0,0,2,1,0,0,1,0,1,0,1,1,0,0,0,2,1,1,0,0,0,0,0,2,0,1,0,0,1,0,0,0,1,1,0,0,0,0,1,1,0,1,1,1,0,1,0,2,2,1,0,2,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,2,0,0,2,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,2,0,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,2,0,0,0,0,0,1,1,1,0,1,0,1,0,2,2,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,1,2,0,2,0,0,2,0,0,1,1,1,2,2,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,2,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,0,1,2,0,0,0,1,1,0,0,0,0,1,1,0,0,2,0,0,0,1,2,0,0,1,1,0,0,0,0,0,1,0,1,0,1,1,2,0,1,0,2,0,1,1,0,0,1,0,2,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2,1,0,0,2,0,0,0,1,2,0,0,0,1,1,0,0,0,0,0,1,2,0,0,1,0,1,2,0,2,0,0,0,0,0,1,1,1,0,1,0,1,0,0,2,1,0,0,1,1,1,1,0,2,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,2,0,1,0,0,0,1,0,0,0,0,0,2,0,1,2,0,1,1,1,1,1,1,1,1,0,1,1,2,0,1,1,2,0,1,2,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,2,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,2,1,0,1,0,0,0,1,0,1,0,0,0,1,0,1,2,1,0,0,1,2,0,0,1,2,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,2,0,0,1,0,0,1,1,1,0,0,0,2,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,1,0,0,2,0,0,0,0,2,2,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,2,0,1,0,1,1,1,1,0,0,0,0,2,1,2,1,0,0,0,0,0,0,1,0,1,0,1 0,0,0,0,1,2,0,0,1,0,1,2,1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,2,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,2,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,2,1,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,1,2,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,2,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,2,0,0,0,1,0,0,1,1,0,0,0,2,0,0,2,1,0,0,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,2,1,1,1,0,1,0,2,0,0,1,0,1,2,0,0,0,0,0,2,0,0,1,1,2,0,0,1,1,1,0,0,0,0,0,1,0,0,0,2,0,0,0,1,1,0,0,2,2,1,0,1,1,0,2,0,0,0,0,0,0,1,0,1,0,0,1,2,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,2,1,0,0,0,0,2,1,0,0,0,0,0,0,2,1,0,0,1,1,1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,2,1,0,0,0,1,0,1,2,0,0,0,1,0,1,1,1,1,0,1,2,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,2,0,2,0,0,1,0,0,0,0,1,1,1,1,0,0,2,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,1,1,1,1,0,1,0,0,0,1,2,1,2,0,1,2,0,0,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,2,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,2,2,0,0,2,0,1,1,0,0,1,1,0,2,0,0,0,0,1,0,1,2,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,1,0,2,2,0,0,0,0,0,1,1,2,1,0,1,1,1,1,1,0,2,1,0,0,1,0,2,1,2,0,0,0,1,1,0,1,1,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,0,0,1,1,1,1,1,0,1,0,0,0,1,0,2,1,0,1,1,0,1,1,1,0,2,2,0,0,2,2,1,1,1,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,1,2,1,1,0,1,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,2,1,1,0,0,1,0,0,0,2,1,0,1,2,0,0,0,0,0,0,1,1,0,0,0,1,1,0,2,0,0,0,1,0,1,1,0,0,0,2,0,0,1,0,0,0,0,0,2,0,0,0,0,1,1,0,1,0,1,1,0,0,0,2,1,0,0,0,1,0,0,0,0,1,0,0,2,0,1,0,1,0,1,0,1,2,2,1,1,0,0,0,0,0,2,0,0,0,0,1,2,0,0,2,0,0,0,0,1,2,1,0,1,1,0,0,0,0,1,1,0,0,0,1 0,0,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,2,0,0,1,1,0,0,1,2,0,1,1,2,0,1,0,0,1,1,0,0,2,0,1,1,1,1,1,0,0,1,0,2,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,2,1,1,2,0,0,2,2,0,0,0,1,2,1,0,1,0,0,0,1,1,0,0,0,0,0,2,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,2,2,0,1,0,0,2,0,0,0,0,1,0,1,0,0,0,0,2,1,1,1,2,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,2,0,2,1,1,0,1,0,0,0,0,0,0,1,0,1,1,2,2,1,1,0,0,0,1,1,1,0,0,1,1,0,0,1,0,0,2,1,0,0,0,1,0,1,2,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,2,1,0,1,0,0,0,2,0,0,0,1,0,1,0,0,0,0,2,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,2,0,0,0,1,0,0,0,2,1,1,2,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,1,2,1,1,0,0,0,1,1,0,1,0,2,1,0,1,0,0,1,0,0,0,0,0,2,0,0,1,0,0,2,1,0,2,0,0,0,2,1,1,0,0,1,1,1,0,1,1,0,2,0,0,1,1,0,0,1,0,1,0,0,2,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,2,0,0,1,2,0,2,0,0,0,2,0,0,1,1,1,0,2,0,1,1,2,1,1,0,1,0,0,0,0,2,2,0,0,0,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,1,0,1,0,0,0,2,0,0,1,0,0,0,1,0,0,1,2,0,0,1,1,1,1,1,0,1,2,0,0,2,1,1,1,1,1,0,1,1,2,0,0,0,1,2,0,1,1,1,1,0,0,0,1,0,0,1,1,2,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0,1,1,0,0,1,1,2,0,0,1,0,0,0,2,1,0,0,1,0,1,1,0,0,1,0,1,2,1,1,0,1,2,0,0,1,0,0,0,0,0,1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,2,1,2,2,0,0,1,0,1,0,2,1,0,0,0,0,2,0,0,1,1,0,0,0,0,2,0,0,0,1,0,0,0,2,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,2,0,1,0,1,0,0,0,0,0,0,0,2,0,0,1,0,1,2,0,0,1,0,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,2,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,2,1,2,2,2,0,1,1,0,0,0,2,1,0,1,0,0,0,0,0,1,1,0,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,2,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,2,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,0,2,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,2,0,0,0,2,2,1,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,2,0,2,0,0,1,1,0,1,2,1,0,0,0,1,1,1,1,1,1,2,0,0,0,0,2,1,0,1,1 1,0,1,0,0,0,1,1,2,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,2,0,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,0,1,1,0,0,1,2,0,1,1,0,1,0,0,0,0,0,0,0,1,1,0,1,1,1,1,0,0,2,0,1,0,0,1,0,0,1,0,2,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,2,0,0,1,2,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,1,0,2,0,1,1,0,1,1,0,0,2,0,1,1,2,1,0,1,0,1,1,1,2,0,0,0,0,2,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,1,1,0,1,0,1,2,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,1,0,2,0,1,0,0,0,0,0,0,1,1,0,1,1,0,1,2,0,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,2,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,2,1,1,0,0,0,0,2,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,0,0,1,0,1,2,1,0,2,0,0,2,2,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,0,1,0,1,1,0,2,1,0,0,0,0,1,1,0,1,1,1,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,2,1,1,0,0,0,2,1,1,0,1,2,0,2,0,1,0,0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,2,2,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0,2,0,1,2,0,1,1,0,0,1,0,1,1,1,1,2,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,2,1,1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,1,1,0,2,2,1,2,1,1,1,2,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,2,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,2,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,2,2,1,0,0,0,0,1,0,1,0,2,1,0,2,0,1,0,1,1,0,1,0,0,1,2,0,0,2,1,0,2,0,1,1,0,1,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,2,2,0,0,2,0,0,0,0,0,1,2,1,1,1,1,1,0,0,0,0,0,2,1,2,0,0,2,0,0,2,0,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,2,0,0,1,1,0,0,1,1,0,0,1,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,1,1,1,0,0,0,2,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,2,0,1,0,0,0,0,1,1,1,1,0,1,0,0,1,1,0,2,0,0,1,1,1,0,0,1,0,2,0,0,0,1,0,0,0,0,1 1,0,1,0,0,1,0,2,1,0,1,0,0,1,1,2,0,0,0,0,0,0,1,1,2,2,1,1,0,2,0,0,1,0,1,0,0,0,0,0,2,2,2,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,2,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,0,1,0,1,0,1,0,0,0,0,0,2,1,2,1,0,0,1,0,1,0,0,0,0,1,2,1,0,1,2,0,0,1,0,0,0,1,1,1,0,0,0,2,0,0,0,0,1,2,0,0,0,1,1,0,0,0,0,0,0,0,2,0,1,1,0,0,1,1,1,1,2,0,0,0,0,1,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0,1,1,0,2,1,0,0,0,0,0,0,1,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,1,1,0,2,1,1,1,0,0,0,0,0,0,1,0,2,1,1,0,1,0,2,0,1,0,0,1,0,1,0,0,0,2,0,0,1,2,0,0,0,0,0,0,0,2,1,0,0,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,1,1,1,1,0,0,0,0,2,1,0,0,1,0,1,1,1,1,1,1,2,1,2,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,2,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,1,1,0,1,1,0,1,0,0,1,1,1,2,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,1,0,0,1,2,1,1,1,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,1,1,1,0,2,0,0,0,0,0,2,1,1,1,2,2,0,1,0,1,0,0,2,1,0,0,0,0,1,1,1,1,0,0,0,1,0,2,1,0,0,0,0,1,0,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,2,0,1,0,1,0,1,0,0,1,2,1,0,0,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,1,1,0,2,0,0,1,1,0,2,0,1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,2,0,0,0,2,0,1,0,1,1,1,1,0,0,0,0,0,0,1,2,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,2,2,2,0,0,1,0,2,0,0,0,1,2,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,2,0,0,0,1,1,0,0,0,1,1,0,1,0,0,1,1,0,1,1,0,2,0,2,0,1,1,1,0,1,0,1,0,2,0,2,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,1,2,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,2,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,2,1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1,1,1,0,0,0,0,2,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,0,2,1,0,1,0,0,0,1,0,0,0,2,0,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,2,2,1,1,1,0,1,0,2,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,2,1,0,1,2,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,2,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,2,0,0,0,1,0,0,1,0,2,0,1,1,0,0,0,0,0,1,1,1,0,0,2,0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,1 0,0,1,0,0,1,0,1,2,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,2,2,1,1,0,1,1,0,1,0,0,0,1,1,0,0,2,2,1,1,2,2,1,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,2,1,2,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,2,2,1,1,1,0,1,1,0,0,1,0,0,1,2,0,1,1,0,1,0,2,0,0,1,1,0,0,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,2,1,0,0,1,2,2,0,0,1,1,0,1,2,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,2,0,0,0,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,2,0,0,1,1,1,2,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,1,2,0,0,2,0,0,0,1,0,0,0,1,0,1,0,0,0,1,2,1,0,1,0,0,0,1,2,1,0,0,2,0,0,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,1,1,1,0,0,2,1,0,0,0,0,0,1,0,0,1,1,0,2,2,2,0,2,0,2,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0,2,1,0,1,1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0,0,2,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,1,1,0,1,1,0,0,2,0,0,0,0,1,0,0,0,2,1,1,1,1,0,0,2,0,1,2,0,1,0,0,2,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,1,1,1,0,1,1,0,1,1,1,2,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,2,1,2,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,2,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,0,2,1,1,1,1,2,0,1,1,2,2,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,1,2,0,1,2,0,1,0,0,0,1,1,0,2,0,1,0,2,0,2,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,2,1,0,0,1,0,0,0,1,1,2,2,0,0,1,0,2,0,0,0,0,0,2,0,0,2,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,1,0,1,0,1,1,0,1,0,0,2,1,0,0,0,1,2,1,0,2,1,1,1,0,0,0,1,0,0,0,1,0,2,0,1,1,0,1,1,2,0,0,0,1,0,0,0,0,1,1,0,1,2,0,0,1,0,2,1,0,1,0,0,1,0,1,1,1,0,0,0,1,1,2,0,2,0,0,1,1,0,1,0,0,0,1,2,2,1,0,0,0,0,1,1,0,0,0,2,0,0,0,0,1,1,2,0,0,1,0,2,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,2,0,1,1,0,1,1,0,0,1,0,0,0,1,1,2,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,1,1,1,0,0,0,2,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0,2,0,0,0,0,1,1,2,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,2,0,1,0,1,0,2,0,0,0,1,0,1,0,0,0,1,0,0,0,0,2,0,0,1,1 0,0,2,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,2,0,0,0,2,0,2,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,2,0,0,0,0,0,1,1,1,0,0,1,0,0,2,1,1,0,2,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,1,1,1,0,2,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0,2,0,0,1,1,1,0,0,0,0,0,0,1,0,1,1,1,2,0,1,0,0,1,0,2,0,1,0,0,1,0,1,0,2,0,1,1,1,2,0,0,1,0,0,0,2,2,0,1,0,0,1,0,1,0,1,0,0,1,0,2,1,0,0,0,0,2,2,0,2,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,1,1,1,0,0,2,1,1,1,0,0,0,1,2,0,1,1,0,0,0,0,2,1,1,1,0,0,0,2,0,2,1,0,0,0,1,1,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,2,2,0,0,0,0,1,1,1,0,0,0,0,2,1,0,1,0,0,0,2,0,0,1,0,0,0,0,0,1,1,0,0,0,0,2,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,2,0,1,0,0,0,0,2,0,0,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,2,1,0,1,0,0,1,2,1,1,2,1,0,1,1,2,2,0,1,0,0,2,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,1,2,1,1,0,2,2,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,2,1,1,0,1,1,1,0,1,1,2,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,2,1,0,0,0,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,2,0,1,2,0,0,0,0,0,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,2,0,1,0,0,1,1,1,1,2,1,1,0,1,0,2,0,0,0,1,0,1,0,0,0,0,1,1,2,0,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,2,0,0,0,1,0,1,0,1,2,0,1,0,1,1,0,0,0,2,0,0,0,0,2,1,2,0,1,1,2,1,0,1,2,0,0,1,1,1,1,1,0,1,1,0,0,1,1,1,1,1,0,2,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,2,1,0,0,0,1,0,0,1,0,1,2,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,1,1,0,1,2,0,1,0,0,0,1,1,1,2,1,0,1,2,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,1,1,0,1,1,2,0,0,0,0,0,0,0,0,2,0,1,2,1,0,0,0,0,0,2,1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,2,0,1,1,0,0,0,1,2,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,2,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,2,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,1,2,2,0,0,1,0,0,2,1,1,2,0,0,1,0,1,1,1,0,1,0,0,2,1,1,1,0,0,0,0,0,0,2,1,0,0,1 0,0,0,0,0,0,0,0,1,1,0,1,0,1,1,0,0,2,1,0,0,0,0,0,1,0,2,0,0,0,2,0,1,0,1,0,1,1,2,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,2,0,2,0,1,0,0,0,0,0,0,2,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,2,0,0,1,0,1,1,1,1,1,0,0,0,0,2,0,0,0,1,0,1,0,0,2,1,0,1,1,1,0,1,0,0,2,1,0,0,0,2,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,2,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,1,2,0,0,2,0,1,1,1,2,0,1,1,0,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0,2,2,0,1,1,0,1,0,0,2,0,0,1,2,0,1,0,0,0,1,1,1,2,1,2,0,2,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,1,2,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,2,1,1,0,1,0,0,0,0,1,2,1,0,0,0,0,0,1,1,1,0,0,0,1,2,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,2,0,0,0,0,0,2,1,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,1,0,0,0,1,1,1,2,0,2,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,1,0,2,1,1,2,1,0,0,2,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,1,2,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,2,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,2,0,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,1,0,2,0,1,0,1,0,1,0,0,0,1,0,0,0,2,0,0,2,2,0,0,0,0,0,1,1,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,2,0,1,1,1,2,1,1,0,0,1,0,2,2,0,2,2,0,0,0,0,0,1,0,1,1,1,0,0,2,0,0,2,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,2,2,1,0,2,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,2,1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,2,1,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,2,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,2,0,0,2,2,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,2,0,0,0,1,0,0,1,1,1,0,1,0,2,0,0,1,0,0,1,0,0,1,1,2,1,0,0,0,0,2,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,1,2,1,0,1,0,1,1,1,1,0,1,0,1,0,0,2,2,0,1,0,0,2,0,0,0,0,1,0,0,0,2,1,0,1,0,0,1,0,0,0,0,0,1,2,0,2,1,1,1,2,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,2,1,2,0,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,2,1,1,1,1,0,1,1,0,1,0,1,0,0,0,2,2,0,1,0,1,0,2,0,0,1,1,0,0,1,0,0,0,0,2,0,0,0,0,1,1,0,1,1,0,0,1,2,0,0,0,0,1,2,0,1,0,0,1,0,0,1,0,1,1,0,2,1,0,1,2,1,0,2,0,1,1,0,2,0,1,0,0,1,1,0,0,0,0,0,1 0,0,1,2,1,0,0,0,0,1,2,1,1,2,1,1,0,1,0,0,0,0,1,0,0,1,1,1,0,1,2,0,1,1,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,1,0,0,0,0,1,2,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,1,0,1,1,0,2,2,2,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,2,0,1,0,0,1,1,0,2,2,2,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,2,1,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,2,0,1,0,1,0,0,0,2,1,0,0,0,2,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,2,1,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,2,1,2,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,2,0,1,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,2,2,0,0,1,2,0,2,0,2,2,1,1,1,1,0,0,2,0,0,0,0,2,0,0,0,1,0,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,1,0,1,1,1,0,0,0,2,2,1,0,0,0,0,1,0,1,1,0,1,1,1,1,0,2,1,0,0,1,0,0,0,0,1,0,0,1,2,0,0,1,0,0,1,0,0,2,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,2,0,0,0,2,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,2,0,0,0,1,0,0,1,0,1,0,1,0,1,1,0,0,2,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,2,1,0,2,1,2,1,2,1,1,0,0,0,0,2,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,2,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,2,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,2,0,1,1,2,0,1,0,0,2,0,0,0,0,0,1,0,1,0,1,0,2,1,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,1,1,0,0,1,1,0,2,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,1,2,2,0,1,1,1,0,2,1,1,2,0,1,0,0,1,0,1,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,2,0,0,0,0,1,0,0,0,0,2,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,2,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,2,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,2,1,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,2,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,2,0,0,0,0,0,1,1,0,1,1,0,0,0,1,2,1,2,0,1,1,1,1,1,0,2,1,0,1,2,0,2,0,1,0,1,2,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,1,2,2,2,0,0,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,2,0,0,1,0,0,1,1,0,2,1,0,1,0,1,0,2,1,1,1,0,0,0,2,0,1,0,0,0,1 0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,2,0,1,1,1,0,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,2,1,0,1,1,1,0,0,0,2,1,1,0,0,0,0,0,1,1,0,0,2,0,2,0,0,1,0,0,0,1,0,0,0,0,1,2,0,2,0,0,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0,2,0,1,0,0,1,1,0,2,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,2,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,2,0,0,1,1,2,0,0,0,0,1,2,0,0,1,1,0,0,1,1,0,0,1,2,0,0,0,0,1,0,1,2,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,2,0,2,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,1,1,0,0,0,0,1,0,2,1,2,0,1,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,1,1,1,1,1,0,1,1,1,1,0,0,0,1,1,0,1,2,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,1,0,0,0,2,0,0,1,0,2,1,1,1,1,0,0,0,0,1,2,0,0,0,0,0,1,1,0,1,0,0,1,0,1,0,2,0,0,0,1,1,0,1,1,1,0,1,1,1,1,0,1,0,1,1,0,0,2,0,1,1,0,0,2,0,2,0,1,2,0,2,0,0,2,1,1,1,0,2,1,1,0,0,1,0,0,1,0,0,0,0,1,1,1,1,0,2,1,0,0,0,0,1,0,1,1,1,1,1,0,1,1,0,1,1,1,0,2,0,0,1,1,0,0,1,1,2,1,0,0,0,0,0,0,0,1,0,1,0,0,1,2,0,1,0,1,0,0,1,1,0,1,0,0,0,0,2,0,0,1,1,0,1,0,0,1,2,0,0,0,1,1,0,1,0,0,0,0,1,2,0,0,0,1,0,1,1,1,0,1,0,0,0,1,2,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,2,0,2,0,1,0,0,0,0,1,1,0,1,2,0,0,1,0,2,1,0,2,0,0,1,0,0,1,1,1,0,0,1,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,1,1,0,0,1,0,0,0,1,0,2,1,0,1,1,0,0,2,1,1,0,2,0,0,0,0,0,1,1,1,1,0,1,0,0,0,1,1,0,2,0,1,0,0,2,1,1,0,1,0,1,1,1,1,2,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,2,2,1,0,0,1,0,1,1,0,0,0,1,0,0,1,1,1,0,2,0,0,1,2,1,0,1,0,1,0,0,0,0,2,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,1,0,0,1,1,0,0,0,2,1,1,1,2,1,1,2,0,0,0,0,0,2,2,2,0,0,1,1,1,0,1,1,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,2,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,2,1,2,1,1,0,2,0,0,0,0,1,0,0,0,0,1,2,1,1,0,0,0,1,1,1,1,0,0,0,2,1,0,0,2,0,0,0,0,0,1,0,1,0,2,0,0,1,0,1,1,0,0,1,1,0,0,1,2,0,0,0,0,0,0,1,0,1,0,0,2,1,0,0,0,1,1,1,0,0,1,0,0,0,0,1,1,1,2,0,2,0,0,1,0,0,0,1,0,1,1,1,0,1,1,0,1,0,1,0,2,1,0,1,1 1,0,0,1,0,1,2,1,1,1,1,1,0,2,1,2,0,0,2,0,0,1,1,1,1,0,1,2,0,0,0,1,2,1,1,0,1,0,0,1,1,1,0,2,0,1,0,2,0,2,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,1,0,1,2,0,0,1,1,0,0,1,0,0,2,1,1,2,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,2,1,0,0,0,0,2,0,1,0,0,2,2,0,2,1,2,1,1,2,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0,0,1,0,2,1,0,1,1,0,1,0,0,1,0,0,0,0,0,2,0,0,1,0,1,0,0,0,0,2,0,2,1,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,0,2,0,0,1,1,0,0,0,0,0,2,1,0,0,1,0,2,2,0,0,1,2,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,2,1,1,1,2,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,1,1,0,0,1,2,2,1,2,0,0,2,0,1,0,0,0,0,2,1,0,0,0,0,1,1,1,0,1,0,2,0,0,1,0,0,0,0,0,2,1,0,0,1,0,0,1,2,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,2,0,0,0,2,0,1,0,1,0,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,0,1,1,2,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,1,1,1,0,2,2,1,0,0,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,2,0,0,1,1,0,0,1,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,1,0,1,0,1,0,0,1,0,1,2,1,2,0,2,0,0,0,2,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0,1,1,0,1,2,0,1,0,0,0,0,1,0,1,0,2,0,1,1,0,1,2,0,1,2,1,1,2,0,1,2,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,1,2,0,0,1,0,1,1,0,1,0,0,0,1,0,0,2,2,1,0,2,1,0,0,1,0,0,0,0,1,2,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0,1,1,1,2,1,1,2,1,0,1,1,2,2,1,0,0,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,1,1,0,2,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,2,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,2,1,0,1,2,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,1,2,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0,1,2,1,1,0,0,1,1,0,1,0,1,0,0,0,1,2,0,0,1,0,0,2,1,0,0,0,2,2,1,0,0,0,2,1,1,1,0,0,0,2,0,1,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,2,2,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,2,0,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,1 1,0,1,1,1,1,0,1,1,1,1,0,0,2,2,0,0,1,0,0,0,1,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,1,0,0,0,0,1,0,2,0,0,2,0,1,1,1,0,1,2,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0,2,0,2,0,0,0,2,0,2,0,0,0,2,0,1,1,1,0,2,1,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,2,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,1,0,0,0,1,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,2,0,0,0,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,1,1,0,0,2,0,0,0,0,1,0,0,1,1,2,1,1,0,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,2,0,0,0,1,2,0,0,1,0,1,0,0,0,1,0,0,2,0,1,0,1,0,1,1,0,1,0,0,1,1,0,2,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,2,1,1,1,2,0,2,2,2,1,1,0,0,2,0,2,2,1,2,1,1,2,1,1,2,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,0,0,2,1,2,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,1,2,0,2,2,1,1,1,0,2,0,1,0,0,0,0,0,1,1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,2,0,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,2,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0,1,2,1,0,0,2,0,0,0,1,0,1,0,0,0,2,0,0,1,1,2,1,1,1,0,1,1,0,1,2,0,1,0,1,0,0,1,2,0,0,0,0,1,0,0,0,0,1,1,2,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0,1,2,0,0,2,0,1,1,2,0,1,0,0,1,0,2,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,1,1,0,1,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,1,0,1,1,0,0,2,1,1,1,1,0,0,0,0,0,0,0,0,1,2,1,2,0,0,0,0,1,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,2,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0,1,1,0,0,1,1,0,1,0,0,2,0,1,0,1,0,2,0,2,2,0,0,0,0,1,0,1,1,1,2,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,2,1,0,1,0,0,0,1,0,1,2,0,1,0,0,1,0,2,0,1,0,0,0,1,1,1,1,1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,2,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,2,0,1,1,0,1,0,1,2,0,1,2,0,0,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,1,2,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,2,0,1,0,1,2,2,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,1,1,2,0,0,0,0,0,0,1,0,2,0,0,2,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,2,1,0,1,0,0,1,1,2,1,1,0,0,1,0,1,2,0,1,0,0,0,0,1,0,1,0,1,0,1 2,0,1,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,2,1,0,0,1,1,2,0,0,0,1,0,0,1,0,0,0,2,0,1,2,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,1,0,0,1,0,0,1,1,2,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,2,2,0,1,0,0,0,0,1,1,2,0,2,1,2,0,0,0,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,2,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,2,0,0,0,1,1,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,1,1,2,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,0,1,2,1,0,1,0,1,1,1,2,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,1,0,0,0,1,0,1,0,0,1,0,2,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,0,2,2,1,0,0,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0,2,0,0,0,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,1,0,0,2,1,2,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,2,2,0,1,0,0,1,2,1,0,0,0,0,0,0,2,0,1,0,0,1,0,0,2,0,0,0,0,0,0,2,0,0,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,1,0,2,0,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,2,0,1,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,2,1,2,1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,2,0,0,0,1,1,1,1,0,0,0,1,0,0,0,1,1,0,1,1,0,0,2,0,1,0,0,0,1,1,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,1,1,0,0,0,1,0,1,0,2,1,2,0,2,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,2,0,2,0,0,0,2,1,1,1,1,0,1,2,2,1,1,0,1,1,0,1,1,0,0,0,0,1,0,2,1,0,2,2,0,0,0,2,0,1,1,1,1,1,0,0,0,1,2,0,0,0,1,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,1,0,1,0,1,0,0,0,2,0,0,0,0,0,2,0,2,0,0,1,0,0,2,0,0,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,2,0,1,1,1,1,0,0,0,1,1,1,0,1,0,1,1,1,0,1,0,0,1,1,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,2,1,0,0,0,2,0,1,1,0,0,0,0,1,1,1,1,0,0,0,1,0,2,1,0,0,0,1,0,0,1,2,1,0,2,0,0,0,1,1,0,2,1,0,0,0,1,0,0,1,0,1,0,0,2,0,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,1,1,0,2,1,0,1,0,0,0,0,1,2,0,1,0,1,1,0,2,1,0,1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0,1 1,0,1,1,2,0,0,0,1,0,2,0,1,1,1,1,0,0,1,0,0,0,2,0,1,1,2,0,0,2,1,0,1,0,0,0,0,0,1,0,2,1,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0,2,1,0,1,0,1,1,0,1,1,1,1,2,0,0,2,0,0,0,1,0,0,0,0,0,0,2,2,0,1,0,1,0,1,0,0,0,0,0,2,0,1,0,0,2,0,0,1,2,0,0,1,0,1,1,0,0,0,2,0,0,2,1,1,1,0,0,0,0,0,0,1,0,1,1,2,1,0,0,0,0,1,1,1,0,1,0,1,1,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,2,0,2,2,2,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,2,0,1,2,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,2,1,0,1,0,1,1,2,0,0,1,1,1,1,0,0,0,0,0,1,2,0,0,0,1,1,0,0,1,1,0,1,1,2,0,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,2,1,0,0,1,0,0,0,1,0,0,0,1,1,2,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2,0,1,0,0,1,1,1,0,2,0,0,0,0,1,2,0,1,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,2,0,1,1,1,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,2,2,1,0,0,0,1,0,1,0,2,0,1,1,0,0,2,0,1,0,1,1,0,0,0,1,1,1,0,0,2,2,0,1,1,1,1,0,0,1,1,0,1,2,2,0,0,2,0,2,0,1,0,1,0,0,0,1,1,1,1,1,0,0,1,0,2,2,2,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,2,0,0,0,0,0,0,0,0,1,1,1,1,0,1,2,1,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,1,2,0,1,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0,2,0,0,1,2,0,0,1,0,1,1,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,2,1,2,0,2,2,0,1,2,1,0,2,1,1,0,1,1,2,0,0,1,2,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,1,0,1,1,2,0,0,1,0,1,0,0,1,1,2,0,1,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,2,0,2,0,0,1,0,1,2,0,0,0,1,1,0,2,1,1,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,1,0,0,0,1,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,2,0,1,1,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,2,0,2,0,0,1,0,0,0,1,2,0,0,0,2,0,1,1,0,0,0,1,2,0,0,0,0,0,0,0,0,2,1,2,1,0,1,0,0,0,2,0,0,1,0,1,0,1,0,1,0,0,0,0,1,1,0,2,1,0,0,0,1,0,1,1,0,2,1,1,1,1,0,1,0,1,0,1,0,0,1,0,2,0,1,0,0,0,1,1,0,2,0,1,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,2,1,1,0,0,0,0,0,0,0,1,1,0,0,2,0,1,2,1,1,1,0,0,0,0,1,1,0,0,0,0,1,1,1,0,2,0,0,0,0,0,2,1,0,2,0,1,0,2,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0,1,2,2,1,0,1 0,0,0,0,1,1,0,1,2,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,2,0,1,0,0,0,0,0,0,0,2,1,1,2,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,2,1,1,2,1,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,1,1,0,2,1,0,0,0,2,1,0,0,1,1,2,0,1,1,2,1,0,1,1,0,0,0,2,1,1,1,2,1,0,1,0,0,0,0,0,2,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,2,1,0,1,1,0,1,0,1,0,0,0,2,0,2,1,0,0,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0,2,0,0,0,1,0,0,0,0,1,1,1,2,0,1,1,0,0,0,0,0,1,0,0,1,0,0,2,1,0,0,0,0,0,1,0,0,0,0,2,0,0,2,0,0,1,1,1,0,0,1,0,2,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,0,0,0,1,1,0,1,0,0,0,1,1,0,0,0,1,2,2,0,0,0,0,0,2,1,1,0,1,1,1,0,0,0,0,0,0,1,0,2,2,0,2,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,2,2,0,0,0,1,2,1,1,0,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,2,0,1,2,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,2,1,0,1,1,0,2,0,0,0,0,0,0,1,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,2,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0,1,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,0,2,1,0,0,0,0,1,0,0,1,0,0,0,0,0,2,1,0,1,2,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,2,1,1,1,2,0,1,2,0,1,1,2,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,2,0,0,0,2,0,1,0,0,0,0,0,0,2,2,0,0,1,0,1,0,0,0,1,1,2,0,1,0,2,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,2,2,2,0,1,0,0,0,1,0,1,1,0,0,0,2,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0,2,0,1,0,1,0,0,0,0,0,0,1,2,1,1,0,0,0,1,0,0,0,1,0,2,0,2,0,0,0,1,0,0,0,0,1,1,0,1,0,1,2,0,1,1,0,0,2,1,0,1,1,0,0,1,1,1,2,0,1,1,0,1,1,1,1,2,0,0,0,0,0,0,0,0,1,0,0,0,1,1,2,1,0,1,1,0,0,1,1,2,1,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,2,1,0,1,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,2,0,0,1,0,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,2,1,2,1,0,1,0,1,2,2,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,1,0,0,1 0,0,0,1,2,0,0,1,0,1,1,0,0,1,2,0,0,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,0,2,0,0,0,0,0,1,2,1,1,0,0,0,0,0,1,0,2,1,1,0,0,1,1,1,0,2,0,0,0,0,1,0,2,1,0,1,0,0,0,1,2,0,0,1,1,0,0,1,0,1,2,0,0,1,1,0,0,1,2,1,1,0,1,0,1,0,0,0,1,0,2,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,2,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0,1,2,1,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,1,1,0,0,2,0,1,2,1,0,0,0,1,0,1,1,0,0,2,0,0,1,0,2,0,2,0,1,0,0,2,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0,2,1,2,0,0,0,0,0,0,0,1,0,0,0,1,2,1,0,1,2,1,1,2,0,0,1,1,0,1,1,0,0,0,2,0,1,0,1,0,0,1,0,0,2,1,0,1,0,2,1,0,0,1,0,0,1,2,0,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0,2,1,0,0,0,1,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,1,1,2,1,1,1,1,1,0,1,1,2,0,0,1,0,2,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,2,0,2,1,1,1,0,0,1,1,2,0,0,0,0,2,0,0,0,0,0,1,2,1,1,1,2,0,0,1,1,0,1,2,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,2,0,0,1,1,1,0,1,0,0,1,0,2,0,0,1,0,0,0,1,2,0,0,0,1,0,0,0,0,1,1,1,0,2,0,2,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,2,1,0,0,0,0,0,2,0,0,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,2,2,0,0,1,1,0,1,0,2,2,0,2,1,1,0,0,0,1,0,2,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,2,0,2,0,2,0,1,0,0,1,0,0,0,0,1,0,1,1,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,1,1,1,1,0,0,1,1,1,2,1,0,2,0,2,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,2,2,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,1,1,1,2,0,1,0,0,0,0,1,1,2,1,1,2,0,0,1,0,0,0,0,0,2,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,1,2,1,0,1,0,1,2,1,0,1,0,0,0,1,2,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0,1,1,1,0,0,1,0,2,2,0,1,2,1,0,0,0,2,0,0,2,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,2,1,0,1,0,1,2,2,1,0,0,1,0,1,1,1,0,1,0,0,0,2,1,2,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0,2,0,0,1,1 1,0,0,1,0,1,0,0,1,0,2,1,0,1,1,0,0,0,0,0,0,2,0,1,2,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,2,2,0,0,0,1,1,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,1,0,1,1,0,2,1,1,0,2,0,2,1,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,2,1,0,0,2,0,1,1,1,2,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,2,0,1,1,0,1,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,2,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,2,2,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,2,1,2,0,0,1,0,1,1,0,0,2,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,2,1,2,1,2,1,0,0,1,0,2,0,0,0,0,1,0,0,2,0,0,0,0,1,2,1,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,1,2,0,2,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,2,0,0,0,1,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,1,2,1,1,0,0,0,0,1,0,0,0,2,1,0,1,1,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,0,2,1,1,0,0,0,2,0,2,2,0,2,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,2,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,2,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,2,1,0,0,0,2,0,0,0,0,0,0,0,0,2,1,0,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,1,2,0,2,1,0,1,2,0,0,0,1,1,0,0,0,0,0,1,1,1,0,0,1,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,2,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,2,0,0,2,0,0,1,1,0,2,0,0,1,0,1,0,1,0,1,0,1,0,1,2,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,2,1,0,1,0,0,2,0,0,1,0,0,0,2,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,2,0,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,1,2,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,2,1,0,0,1,1,1,1,1,0,1,2,0,0,0,1,0,1,2,1,1,0,0,1,0,1,0,1,0,0,1,0,1,1,0,0,0,1,1,1,0,2,0,1,0,2,0,0,0,1,0,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,2,0,1,0,1,2,2,0,2,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0,1,0,2,0,0,2,1,1,1,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,1,0,0,1,0,1,1,1,0,1,2,0,0,0,0,0,1,1,0,1,1 1,0,2,1,1,0,0,0,0,0,2,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,1,1,2,0,0,0,1,1,2,1,0,1,1,2,0,2,1,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,2,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,2,2,2,0,1,0,0,0,0,0,0,1,0,1,2,1,0,0,0,1,0,0,0,1,1,1,0,2,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,1,1,2,2,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0,0,2,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1,1,1,1,2,0,0,0,2,1,1,0,0,1,1,2,2,0,0,0,1,0,1,1,0,2,1,0,2,2,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,1,1,0,0,1,0,2,0,1,0,2,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,2,1,0,0,2,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,2,2,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,1,1,1,2,2,2,0,0,1,2,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,1,2,0,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,2,0,0,1,1,0,1,1,0,1,0,0,0,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,2,1,2,1,0,2,1,0,0,0,1,0,0,1,0,1,1,2,0,2,1,1,1,0,1,0,0,0,0,1,0,0,0,1,2,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,2,0,2,0,0,2,2,0,1,2,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,2,0,0,0,0,0,0,2,1,1,2,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,2,1,2,0,1,0,1,1,2,1,1,1,2,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,1,0,1,0,2,0,0,0,1,0,0,0,1,1,0,0,0,1,2,0,1,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,2,0,0,0,0,1,2,1,2,2,1,1,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0,1,2,0,1,0,1,0,2,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,2,0,0,0,0,0,1,1,1,2,0,1,2,1,2,0,0,1,0,0,1,0,2,0,0,1,2,0,0,0,0,1,1,1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,2,2,1,0,0,0,0,0,0,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,2,1,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,1,2,0,1,0,2,1,0,0,0,2,2,1,0,0,0,0,0,0,1,1,0,1,0,1,0,2,1,0,0,0,2,0,0,1,0,2,0,0,2,2,0,0,0,1,0,1,1,0,0,0,0,0,2,0,0,0,1,2,1,0,1,0,1,0,1,0,0,1,0,1,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1 1,0,1,0,1,0,1,0,1,1,2,0,0,2,1,0,0,0,0,0,0,0,1,0,0,2,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,2,0,2,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,1,1,0,0,2,0,1,0,0,0,2,0,1,2,0,1,0,2,0,0,1,0,2,0,0,1,0,0,1,0,0,2,2,0,0,0,1,0,1,0,1,0,2,0,1,2,1,1,2,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,1,2,0,0,1,0,1,1,2,0,0,0,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,1,2,0,0,1,0,0,1,0,1,2,0,0,1,0,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,2,2,0,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0,2,1,2,0,0,0,1,0,0,0,0,2,2,2,0,0,0,2,1,0,1,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,2,1,0,2,0,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,2,0,1,2,0,1,0,1,1,0,1,1,1,2,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,2,0,1,2,0,1,1,1,0,0,1,2,1,1,0,1,1,1,2,2,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,2,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,2,2,1,1,2,0,1,1,0,0,1,1,2,0,1,0,1,0,1,0,0,0,1,0,0,1,2,1,2,1,0,0,2,1,0,1,1,1,0,0,0,1,1,2,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,2,0,1,0,0,0,2,0,0,0,0,1,0,1,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,2,0,1,1,0,1,0,1,1,1,2,0,0,0,1,0,0,1,0,1,1,0,1,2,0,0,1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,2,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,2,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,1,0,2,0,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,1,1,0,0,0,1,1,2,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,2,1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0,2,0,2,1,2,2,0,0,1,0,0,1,2,0,0,0,1,1,2,1,0,0,2,0,0,0,0,2,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,2,0,1,1,0,0,0,1,1,1,0,0,1,0,2,0,1,0,2,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,2,1,0,0,2,1,0,0,1,2,0,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,2,0,1,1,0,2,0,0,0,0,2,1,0,1,2,1,0,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,2,0,0,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,2,0,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,2,0,0,0,0,0,2,1,0,1,1 1,0,0,1,2,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,2,1,0,0,0,1,0,1,0,0,2,0,0,0,1,0,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,2,0,0,1,0,0,0,0,1,0,0,0,2,2,0,1,0,1,0,0,0,2,0,1,0,1,0,2,0,2,0,1,0,1,1,0,0,0,1,1,2,0,0,1,1,0,0,0,0,0,1,1,0,0,0,1,0,1,1,2,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0,2,0,0,0,0,1,1,1,2,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,2,1,1,0,0,1,0,0,0,0,1,0,0,0,0,1,2,2,0,0,0,1,2,0,0,1,0,0,1,2,0,1,1,0,1,2,0,1,0,0,0,0,1,1,0,0,0,2,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,2,0,0,0,1,2,0,0,0,0,2,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,2,0,0,1,0,2,0,0,1,1,0,0,2,0,0,0,1,1,0,0,2,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,2,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0,2,0,0,0,1,1,0,0,2,0,0,1,0,1,2,0,0,1,0,1,2,0,0,0,0,0,0,0,1,0,2,1,1,0,1,1,0,0,1,0,0,1,0,0,2,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,2,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,2,1,0,0,2,0,2,1,1,0,0,1,1,1,0,1,0,2,0,0,1,2,1,1,0,0,0,0,0,0,2,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,2,1,0,0,0,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,2,1,0,2,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,2,0,2,1,0,1,0,0,1,2,1,0,2,1,0,1,1,1,2,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,1,0,1,1,0,0,2,1,0,0,2,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0,2,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,2,0,2,0,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,2,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,2,1,1,1,0,1,1,1,0,0,0,1,1,2,0,0,0,1,1,0,0,1,0,1,0,0,1,0,2,2,0,2,1,0,2,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,1,2,1,0,0,0,0,0,0,1,1,1,1,2,1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,2,1,0,1,0,1,1,0,0,0,0,0,1,2,0,0,1,0,1,1,1,1,0,0,0,1,1,1,2,0,1,1,1,0,0,1,0,2,1,1,0,1,1,0,0,2,0,0,0,1,1,2,1,1,0,2,2,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,2,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,1,1,1,2,0,0,0,0,0,2,0,1,1,1,0,0,1,1,0,1,0,2,0,1,0,0,0,0,0,1,0,0,1,0,1,2,0,0,1 2,0,0,0,2,0,0,1,0,0,2,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,2,1,2,0,0,1,1,1,0,1,0,0,0,2,0,0,1,1,1,1,0,0,0,2,1,0,1,0,1,0,0,2,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,2,1,0,1,1,1,0,0,0,1,1,0,0,2,0,2,0,2,2,1,0,0,1,0,0,1,0,0,0,2,0,0,0,1,0,0,0,1,1,1,0,0,0,1,2,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,2,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,2,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,2,0,1,0,0,0,1,0,0,0,1,1,0,0,1,1,0,2,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,1,1,0,2,2,1,1,1,0,0,0,0,1,1,0,0,0,0,1,1,2,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,2,0,0,0,0,0,1,1,0,0,0,1,1,0,2,0,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0,2,0,2,0,0,0,0,1,1,0,1,0,2,1,0,0,1,0,2,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,2,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,2,0,1,0,1,0,0,0,0,0,0,0,2,1,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,0,0,1,0,1,0,0,0,0,1,0,1,2,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,0,2,1,0,1,0,0,1,0,1,2,0,0,0,0,0,2,0,0,1,0,1,1,0,1,0,0,0,1,2,2,1,0,1,1,0,1,0,1,1,1,1,0,2,0,2,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0,0,1,1,1,1,2,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,0,2,0,0,1,0,2,0,0,1,1,0,0,1,0,0,0,0,1,0,2,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,2,0,0,0,2,0,0,0,1,0,0,0,0,2,2,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,1,2,1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,2,1,0,0,1,0,0,1,1,0,0,2,0,0,0,1,1,2,1,1,1,0,1,2,0,0,0,0,0,1,0,2,1,0,2,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,1,1,0,0,0,1,0,0,0,0,0,1,1,2,2,2,0,1,0,1,0,0,1,0,0,0,1,0,1,1,1,0,1,0,2,0,0,1,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,2,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,2,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,2,1,0,0,0,2,2,0,0,2,0,0,2,0,1,0,0,0,0,0,2,2,0,2,2,0,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,2,0,0,0,1 1,0,2,1,0,0,0,0,1,1,0,0,0,1,1,1,0,0,2,0,0,0,1,0,0,1,2,0,0,1,1,0,0,1,1,0,0,1,0,0,2,1,1,2,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,2,1,1,2,0,1,1,1,2,0,0,2,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,2,1,1,0,1,0,1,2,2,2,0,0,1,0,2,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,2,1,1,0,0,1,2,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,1,0,2,0,0,2,0,0,0,1,0,0,1,0,1,0,2,0,1,1,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,2,1,1,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,1,0,0,1,0,2,1,0,0,1,1,0,1,0,0,0,1,1,1,2,0,0,0,0,1,1,1,0,0,2,0,1,2,0,0,2,2,0,2,0,0,0,0,2,1,1,1,0,1,0,0,0,0,1,1,2,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,2,0,0,0,2,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,1,0,2,0,1,1,0,1,0,0,1,1,0,2,1,1,0,0,0,1,0,1,0,1,1,2,1,0,0,2,0,0,1,1,0,0,0,0,2,0,0,1,0,2,1,1,0,0,1,0,1,0,1,0,0,0,0,2,1,0,1,0,0,2,2,1,0,0,0,0,0,0,1,2,0,0,1,0,1,0,0,0,1,0,1,2,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,1,1,0,1,1,1,0,0,1,1,2,1,0,0,0,0,0,0,2,1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,1,1,0,1,1,1,0,0,2,2,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,2,1,2,1,0,1,0,0,1,0,0,1,2,1,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,2,1,1,2,2,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,1,1,2,1,0,1,1,0,1,1,2,0,1,2,0,0,1,0,0,2,2,2,1,1,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,1,2,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,2,1,1,1,0,0,0,0,2,1,1,2,0,2,1,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,2,0,0,0,0,2,2,1,1,1,0,0,0,0,1,1,1,0,1,0,2,1,1,0,0,0,0,1,0,0,0,2,1,0,0,2,0,0,0,0,0,0,1,0,2,0,0,0,1,1,2,0,0,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,2,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,2,1,0,2,1,1,0,0,0,1,2,0,0,2,1,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1 1,0,0,2,0,0,0,1,1,0,0,2,0,0,1,1,0,1,0,0,0,0,1,1,1,2,0,1,0,0,2,0,1,0,1,0,1,0,0,0,1,2,0,1,1,0,0,1,0,0,2,2,0,0,2,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,2,1,0,0,1,1,1,1,0,0,0,0,1,2,1,0,1,0,0,0,1,2,0,0,0,1,0,0,0,0,1,0,1,1,2,1,0,0,0,1,1,0,0,0,0,0,0,1,1,1,0,2,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,2,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,2,0,2,1,0,1,1,2,2,0,1,0,0,0,0,0,2,0,0,1,1,0,0,1,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,2,0,2,1,0,0,0,0,0,1,1,0,2,0,1,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,2,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,1,2,1,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,1,0,2,0,0,2,2,0,0,1,1,1,0,2,1,2,0,0,2,1,2,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,1,0,2,1,0,0,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0,2,1,0,1,0,0,0,1,1,0,2,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0,2,1,1,1,0,0,1,1,0,0,2,0,1,1,1,0,2,0,1,1,0,0,0,2,0,1,1,0,1,0,2,1,0,0,1,0,0,0,2,0,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,1,0,1,1,0,2,0,0,0,0,0,0,1,1,1,0,2,0,1,0,0,0,2,2,0,0,0,1,1,0,0,0,1,0,0,0,2,0,1,0,2,0,0,2,0,1,1,0,0,1,0,1,2,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,2,1,0,1,0,0,0,1,1,1,1,1,0,1,1,2,0,2,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,2,0,1,0,0,0,0,1,1,1,0,0,1,2,1,0,2,0,0,2,0,0,0,0,2,0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0,1,1,2,1,0,2,0,1,2,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,1,1,1,2,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,1,1,1,1,0,1,0,1,1,0,0,0,2,1,0,1,0,1,1,0,0,2,0,0,0,0,0,0,1,2,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,2,1,0,0,0,0,2,1,0,0,2,1,1,1,0,0,1,1,0,0,2,1,0,0,1,0,0,0,0,0,0,0,2,2,0,0,2,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,1,1,0,2,0,0,1,1,0,1,0,0,1,0,1,1,1,0,2,2,1,0,0,1,1,0,1,1,0,1,0,1,1,1,1,0,2,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,2,0,1,2,1,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0,1,1,0,1,1,2,1,0,0,1,0,2,1,0,1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,2,0,1,0,0,1,1,0,1,2,0,0,1,0,1,0,0,2,0,1,2,0,0,0,0,2,1,0,1,1 0,0,0,0,1,0,1,0,1,2,1,0,1,2,2,1,0,1,0,0,0,1,0,1,0,1,1,2,0,1,0,0,0,0,2,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,1,1,2,0,0,0,2,0,2,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,2,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,2,1,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,2,0,1,0,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,2,0,2,1,0,2,0,0,0,0,1,0,1,2,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,2,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,2,0,1,0,1,1,0,0,2,0,0,1,0,1,2,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,2,0,2,1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,2,1,0,0,2,0,0,0,1,2,1,0,0,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,1,2,1,0,0,0,0,0,1,0,0,1,2,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,2,1,0,0,1,2,0,0,0,0,0,2,1,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,2,1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,2,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,2,1,1,1,0,0,0,1,0,1,2,0,0,2,0,1,1,1,1,2,1,0,0,0,2,0,1,0,1,0,0,1,0,0,0,0,0,2,1,0,1,1,0,0,0,0,0,1,0,2,1,0,0,0,0,0,1,1,0,1,0,1,1,1,1,1,0,1,0,1,2,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,1,2,2,0,0,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,2,0,0,1,0,1,2,0,0,0,2,0,1,1,0,0,2,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,2,1,1,0,2,1,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,2,0,0,0,0,1,1,1,0,2,0,0,1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,1,2,1,1,0,0,2,1,0,1,1,0,0,1,0,0,1,0,2,2,0,0,0,2,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,2,0,0,0,2,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,0,1,2,0,1,1,0,1,1,0,2,0,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,1,1,1,1,0,0,2,0,0,1,0,1,2,0,0,0,0,0,1,2,0,1,0,0,0,2,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,1,1,2,0,1,2,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1 2,0,1,1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,1,1,1,1,0,0,2,0,0,0,1,0,0,0,0,1,0,2,0,0,0,1,0,2,0,0,0,0,0,0,1,0,2,1,1,0,1,0,0,1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,1,0,0,2,0,0,0,0,0,0,2,0,0,2,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,1,1,2,0,0,1,0,0,2,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,2,1,1,0,0,1,0,0,0,0,0,1,1,1,1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,2,0,0,1,1,0,0,0,0,0,0,2,0,0,2,0,0,1,0,1,0,2,0,1,2,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,1,2,1,1,0,2,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,2,0,0,1,0,1,0,1,2,1,2,0,0,0,0,2,1,0,0,0,2,0,0,1,0,0,1,0,1,2,0,0,2,1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,2,1,0,0,1,1,0,0,1,0,1,1,0,2,0,0,1,0,1,0,0,2,0,0,1,2,0,0,0,0,0,0,1,0,0,0,0,0,2,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,1,1,1,1,1,0,1,0,0,1,0,1,0,2,1,1,0,0,0,1,0,2,0,1,1,0,0,0,1,1,2,1,0,0,0,0,1,1,0,2,1,0,0,2,1,2,1,0,1,0,1,2,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,1,0,1,0,2,0,2,0,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,2,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,2,2,0,0,0,1,0,0,0,0,1,1,1,1,1,0,1,0,2,0,1,1,2,0,1,0,0,0,1,1,0,0,0,1,0,2,1,1,0,1,0,0,0,1,0,1,0,1,2,0,1,0,0,0,0,2,0,1,1,0,2,0,0,1,1,2,1,2,0,1,1,1,1,2,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,1,1,1,1,0,2,1,0,1,2,0,0,2,0,0,1,2,0,0,0,1,0,2,0,0,1,0,2,0,0,1,1,0,1,0,1,0,0,0,1,0,1,1,2,1,1,0,0,0,0,0,0,0,0,1,1,1,0,1,2,2,0,1,0,0,1,1,0,0,0,0,0,2,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,1,1,0,1,0,1,0,1,0,0,0,1,1,1,0,1,0,1,2,0,0,1,1,0,0,0,1,1,1,1,2,0,1,1,2,2,2,0,0,0,0,0,1,0,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,2,0,0,1,0,1,1,1,2,2,1,1,2,0,0,1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,2,0,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,1,2,1,2,0,1,0,1,0,0,1,0,0,0,1,0,2,0,2,0,2,0,0,0,2,0,1,1,0,2,0,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,1,0,2,0,1,2,1,0,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,2,1,2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,2,0,2,0,1,0,0,2,0,2,1,0,0,1,0,0,0,0,2,0,1,0,0,0,2,0,0,1,0,0,0,0,1,1,1,0,1,0,0,1 1,1,0,1,0,0,1,1,2,1,0,0,0,0,1,0,0,0,1,0,0,2,1,0,2,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0,1,1,1,0,2,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,2,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,1,1,0,0,0,1,0,1,0,1,0,0,1,0,2,0,1,0,0,0,1,0,1,0,0,0,2,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,2,0,2,0,1,0,0,0,1,0,0,1,0,1,2,0,1,0,0,0,1,2,0,0,0,0,1,1,0,0,1,1,1,1,0,2,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,2,0,2,0,1,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,1,1,2,1,1,1,0,2,1,1,0,1,1,1,2,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,2,1,1,0,1,2,0,0,1,1,0,1,1,0,1,0,1,2,2,0,1,1,0,0,2,0,0,0,0,1,0,1,0,2,0,0,0,1,2,1,2,1,0,0,1,2,1,1,0,0,2,0,0,1,0,0,1,1,0,1,0,1,1,0,0,0,2,1,0,1,0,1,0,0,2,1,0,0,1,0,2,0,1,2,0,0,0,1,0,0,0,0,0,1,2,1,0,1,0,0,0,1,0,1,2,1,1,0,1,2,0,0,0,2,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,2,1,1,0,0,1,1,0,0,0,1,1,1,2,0,1,2,2,1,2,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,0,2,0,0,0,0,0,0,2,0,0,1,0,0,1,0,1,1,0,2,0,0,2,0,0,1,0,1,1,0,1,1,0,0,0,1,0,2,0,1,1,2,1,0,1,0,1,0,2,1,1,0,0,0,0,0,1,0,0,2,0,1,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,2,1,1,0,0,1,1,2,1,1,1,2,1,0,0,0,0,0,0,0,1,1,1,0,1,2,0,0,0,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,2,0,1,1,0,0,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,1,1,0,2,1,0,1,1,1,0,2,0,0,0,1,1,1,1,0,0,0,1,0,1,1,1,1,2,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,2,0,0,0,0,1,1,1,1,0,0,1,1,0,0,2,0,1,1,0,0,1,1,0,0,0,1,0,1,1,1,2,0,2,1,2,0,0,0,1,0,1,0,1,2,2,0,1,1,0,0,1,1,2,1,0,2,0,0,2,1,1,0,2,0,0,2,0,1,0,0,0,0,0,2,0,0,2,1,0,1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,1,2,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,1,1,1,1,0,0,0,1,1,0,0,0,0,2,0,1,0,0,2,2,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,2,1,0,1,0,1,1,1,2,1,1,0,2,1,1,1,0,2,0,0,0,1,0,0,0,0,0,1,0,1,0,2,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,1,1,1,2,2,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,2,2,0,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,1,0,1 1,0,1,0,1,0,0,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0,1,1,1,1,1,1,1,1,0,0,0,2,1,0,1,0,0,2,2,1,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,1,2,1,0,1,0,2,1,0,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,2,0,0,1,0,1,0,1,0,1,1,0,0,1,2,0,1,0,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,2,1,1,0,0,0,0,2,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,2,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,1,2,2,0,1,0,0,2,0,1,1,0,1,0,2,1,1,0,2,0,1,0,2,0,0,1,2,0,0,0,0,0,0,0,1,0,0,0,0,1,2,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,1,1,0,0,1,0,1,2,2,2,0,1,0,1,0,0,1,0,0,0,2,1,0,1,0,0,0,1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,1,1,1,0,1,1,0,0,1,1,0,1,0,2,0,1,0,1,0,0,0,1,0,2,1,2,0,1,0,0,1,1,0,0,0,0,2,0,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,1,0,1,0,1,0,2,0,1,0,0,0,0,0,0,1,2,1,2,0,2,0,0,0,1,2,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,2,2,0,1,0,0,1,1,1,0,1,2,2,0,0,0,1,0,1,0,2,0,2,0,0,2,0,0,2,0,1,2,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0,1,1,1,0,0,1,0,0,2,1,0,0,0,1,0,2,2,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,2,0,0,0,1,0,0,0,2,2,0,1,0,0,0,1,1,0,0,0,0,0,0,1,1,1,2,0,1,0,0,0,0,1,2,0,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,2,1,0,2,1,1,1,1,1,0,1,0,0,0,1,1,2,0,1,0,1,1,1,1,0,0,0,2,0,1,0,1,1,0,0,1,1,1,1,1,0,0,2,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,2,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,2,1,1,0,2,0,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,2,0,1,0,1,0,0,0,0,0,1,0,0,0,0,2,0,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,2,0,2,1,1,1,1,1,1,0,1,0,1,0,0,0,1,2,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,2,0,0,0,1,0,0,0,0,0,2,0,0,1,2,1,2,1,0,0,1,0,1,0,1,2,0,1,1,1,1,2,0,0,0,1,0,1,2,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,2,0,0,1,0,0,1,0,1,0,0,0,0,2,1,0,0,0,0,2,0,0,0,0,1,1,0,1,0,0,1,1,1,0,2,1,0,0,0,2,0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,1,2,0,1,1,0,0,2,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,1 1,0,0,1,0,0,0,0,0,2,1,1,0,2,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,2,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,1,1,2,0,1,0,0,1,0,0,1,0,0,2,1,0,2,1,2,1,1,2,0,0,0,0,2,2,2,0,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0,2,2,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,2,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,2,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,1,1,0,2,1,0,0,0,0,0,0,0,0,0,2,0,1,1,1,0,1,0,0,1,0,1,2,1,0,0,1,0,0,0,1,0,0,0,0,0,2,2,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,2,1,0,1,0,0,0,1,1,1,1,0,0,0,1,2,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,0,0,2,1,0,1,2,1,1,0,2,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,2,0,2,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,2,0,1,0,1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,1,2,1,0,0,0,0,0,0,0,1,0,0,2,0,1,2,0,0,1,0,0,0,1,0,0,1,2,1,1,1,1,2,0,0,2,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,2,1,1,1,0,0,0,0,0,2,1,0,0,0,0,1,1,1,0,0,0,0,0,1,2,1,1,2,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,2,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,2,2,0,2,0,0,0,1,0,1,1,2,1,0,0,0,0,0,1,1,1,1,0,1,1,0,1,1,0,1,2,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,2,1,0,0,0,0,1,0,1,1,0,2,1,2,0,0,0,0,1,1,0,2,2,0,0,2,0,2,0,1,1,1,0,2,0,0,0,1,0,2,0,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,2,1,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,2,1,0,0,0,2,0,0,1,0,0,1,1,0,0,0,0,2,0,2,0,0,1,0,0,1,1,2,1,1,0,0,2,0,2,1,2,2,1,1,1,0,1,1,0,0,2,1,2,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,2,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0,1,2,1,1,0,1,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,2,0,0,0,2,0,1,0,0,0,0,1,0,1,0,1 2,0,1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,1,1,0,1,0,1,0,0,1,0,0,2,1,0,1,0,0,0,0,0,1,0,0,1,1,0,2,0,0,0,1,0,0,1,1,2,1,0,0,0,1,0,1,0,0,1,1,0,1,0,1,0,1,2,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,1,0,1,0,2,0,1,2,1,1,1,2,0,0,2,0,1,0,0,0,0,0,0,1,0,0,1,2,1,1,2,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0,1,1,0,1,0,1,1,1,1,2,1,0,0,1,0,0,2,0,0,0,1,0,0,0,1,0,1,0,0,1,2,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,1,0,0,0,1,1,2,2,0,0,2,0,0,2,1,0,1,0,1,0,2,1,1,1,0,0,1,1,0,0,0,2,2,1,1,0,1,2,0,0,0,0,1,1,1,1,0,0,1,1,1,2,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,2,2,0,0,1,1,0,2,2,0,2,2,0,1,2,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,1,1,0,0,1,0,0,0,2,0,2,1,0,0,0,1,2,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0,1,2,0,0,0,1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,2,1,0,0,0,0,1,0,1,0,0,2,1,0,0,0,0,0,1,1,0,1,0,0,1,2,0,1,0,1,1,2,0,1,0,1,1,0,0,1,0,2,1,0,2,0,1,0,1,2,0,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,0,0,0,2,2,0,1,0,0,0,1,2,0,0,0,1,2,2,1,1,0,1,0,2,1,1,0,1,1,1,1,0,0,2,0,0,1,1,1,1,1,0,2,1,0,2,0,0,1,0,0,1,1,0,0,0,1,1,2,2,0,2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,0,1,1,0,0,0,1,0,1,1,0,0,1,2,1,1,0,1,1,0,1,1,1,1,1,2,1,0,1,2,0,1,1,0,2,2,0,0,0,1,1,0,1,0,0,0,2,0,0,2,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,1,0,0,2,2,1,0,0,1,1,2,1,0,0,0,0,0,0,0,0,1,0,1,0,1,2,0,0,1,0,0,2,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,2,1,1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,2,0,0,1,0,2,0,0,1,1,2,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,2,0,0,0,0,1,0,0,0,1,0,2,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,2,1,0,0,1,1,1,2,0,0,1,1,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,1,1,1,0,0,0,1,2,0,0,0,1,2,1,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,1,0,1,0,1,0,0,1,1,0,0,1,0,0,1,2,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,2,0,1,0,1 1,0,1,2,1,0,1,2,0,1,2,1,0,0,0,0,0,2,1,0,0,0,0,0,1,1,0,2,0,1,1,0,0,0,0,0,2,0,0,0,1,0,1,0,2,1,1,0,1,1,0,0,0,0,0,0,1,0,1,2,0,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,0,2,1,0,0,1,0,1,1,0,2,0,1,0,0,1,1,1,0,0,1,1,2,0,2,0,1,0,0,0,1,0,0,1,2,2,1,1,0,0,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,2,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,1,0,0,2,1,1,0,2,0,1,0,2,0,0,1,1,1,1,0,0,0,1,2,0,1,1,0,1,1,1,1,0,1,1,0,0,0,1,2,0,1,0,0,0,0,1,0,0,0,0,1,2,1,0,2,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,2,0,2,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,2,2,0,0,2,0,0,0,1,0,2,0,0,0,1,2,0,0,0,0,0,1,1,1,1,1,0,0,0,0,2,0,0,0,1,2,1,0,0,1,1,0,2,0,1,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0,1,2,0,1,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,1,0,1,0,2,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,2,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,2,0,0,0,2,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,2,0,1,0,0,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,1,2,0,0,0,0,0,1,0,0,1,1,0,1,1,1,0,1,0,2,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,1,0,2,0,1,0,1,2,0,1,0,2,1,1,0,0,0,2,0,0,1,1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,2,0,1,2,0,0,1,1,1,0,1,0,0,1,0,1,2,0,0,1,0,1,1,1,0,0,1,0,1,2,0,1,1,0,1,1,0,1,2,0,0,1,0,1,0,0,0,0,2,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,2,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,2,2,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,2,1,0,0,2,2,1,0,1,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,1,1,1,1,0,1,1,0,2,0,2,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,1,2,0,1,2,0,0,1,2,1,0,0,0,1,1,2,1,2,2,1,1,1,1,0,2,1,1,1,0,1,1,0,1,1,2,0,1,1,0,0,1,0,0,2,0,1,1,1,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,2,0,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,2,0,2,0,0,1,1,1,0,2,0,1,0,0,1,0,0,0,1,1,2,1,1,0,1,0,1,1,1,2,0,2,0,1,1,0,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,1,1,0,0,1,0,2,1,1,0,1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,2,0,0,0,1,1,2,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,1,0,1,1 0,0,0,2,2,0,0,0,1,0,1,1,1,2,1,1,0,0,0,0,0,0,0,1,2,2,2,2,0,0,0,0,1,1,1,0,1,0,0,0,1,2,0,0,2,1,1,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,2,0,2,1,0,0,1,0,1,0,1,0,0,1,0,0,2,1,1,1,1,2,1,1,1,2,0,1,0,0,0,2,0,1,2,1,2,1,0,0,0,0,2,2,0,0,2,1,1,0,2,1,1,0,0,1,0,0,1,2,1,1,0,1,0,1,2,0,0,0,1,2,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,2,1,0,1,0,0,0,0,1,0,0,2,0,1,0,0,1,0,1,1,0,1,1,1,0,1,2,1,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,2,1,1,1,0,0,0,0,0,1,1,0,1,2,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,0,1,1,0,1,1,2,2,0,0,0,0,2,0,0,0,0,0,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,1,2,1,0,1,1,0,1,2,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,2,2,1,0,1,0,2,0,0,1,1,2,1,0,0,0,0,0,1,0,0,0,1,1,0,0,1,2,0,0,1,0,0,0,1,1,0,1,0,1,0,2,1,0,0,0,2,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,0,0,0,1,2,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,0,1,0,1,0,1,1,2,0,1,1,0,0,1,0,0,0,2,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,2,0,1,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,2,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1,1,1,0,2,1,1,1,1,2,2,2,2,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,2,0,2,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,1,2,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,2,1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0,2,0,2,0,0,0,1,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,1,0,2,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,2,2,2,0,0,0,0,0,0,0,1,1,0,1,0,2,2,0,1,1,0,0,2,0,1,2,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,2,0,1,0,0,0,0,1,0,1,0,0,2,2,0,0,0,1,0,1,1,1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,2,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,2,0,0,2,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,1,1,1,2,0,2,1,2,2,1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,1,0,1,0,0,0,1,2,0,0,0,1,2,1,0,2,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,2,1,2,0,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,1 1,0,1,0,2,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,0,2,2,0,0,1,1,0,2,1,0,0,0,1,0,2,1,0,0,2,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,1,2,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,1,2,1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,1,2,0,1,0,0,1,1,0,1,1,1,0,0,2,1,0,0,0,2,2,1,2,1,0,1,1,0,0,0,1,1,2,0,0,1,1,0,2,0,0,1,1,0,2,1,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,2,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,2,1,1,0,1,1,0,0,0,0,0,0,0,0,2,1,0,0,2,0,0,0,1,1,2,0,0,2,1,2,0,1,1,0,0,1,1,1,2,0,0,0,2,1,2,0,1,1,1,2,1,1,0,0,1,1,0,0,0,1,0,0,0,0,2,1,0,0,0,0,2,1,1,2,1,1,0,0,1,1,2,1,0,0,0,1,0,1,0,0,1,0,1,2,0,1,0,0,1,2,2,0,0,0,0,1,1,1,1,0,0,0,1,0,2,0,0,0,2,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,2,1,2,0,0,1,1,0,1,0,1,2,1,1,1,0,2,0,0,0,1,2,0,0,1,0,0,1,0,0,1,0,2,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,2,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,1,0,1,1,1,0,1,1,0,0,2,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,2,0,0,1,2,1,0,0,1,2,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,1,1,1,1,0,0,0,1,1,2,0,1,2,1,1,2,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,2,1,1,0,0,1,0,0,0,1,0,1,1,1,2,0,1,0,1,0,0,1,2,1,0,0,0,2,2,1,1,0,0,0,1,0,2,2,0,1,0,1,0,1,1,0,1,1,0,0,1,0,1,1,1,2,1,0,1,0,1,2,0,1,1,2,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,2,0,0,0,0,0,1,0,1,0,0,1,1,1,2,0,0,1,1,2,0,0,0,0,1,0,2,0,1,2,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,2,0,1,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,2,0,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,1,2,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,2,0,2,2,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,2,0,1,0,1,0,0,1,2,0,0,1,0,2,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,1,2,0,0,1,1,1,1,1,1,0,0,0,2,2,0,1,0,1,0,1,0,0,2,0,0,0,2,1,2,0,1,1,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,2,0,0,1,0,0,0,0,2,1,1,0,1,1,1,2,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1 0,0,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,1,1,0,2,1,2,0,0,2,1,1,1,1,0,1,0,1,1,0,1,0,2,0,1,1,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,1,1,1,1,0,0,0,2,2,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,1,1,1,0,0,1,2,1,2,1,1,0,0,0,0,2,0,1,1,0,0,0,0,0,0,2,1,1,0,0,1,2,0,2,0,0,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,2,2,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,2,0,0,0,0,1,0,0,0,1,0,1,0,0,2,0,0,0,0,1,0,0,1,1,0,0,2,0,0,1,1,0,0,0,0,2,2,0,1,1,0,1,1,0,0,0,0,0,0,0,2,2,2,0,2,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,2,0,0,0,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0,2,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,1,0,2,1,1,1,1,0,0,0,1,0,1,1,2,1,0,2,0,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,2,2,2,0,0,0,0,1,0,2,0,1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0,1,1,2,0,1,1,1,2,1,1,1,1,1,0,1,1,0,2,2,2,0,0,1,1,0,1,0,1,0,0,0,0,0,2,1,1,0,0,1,1,1,0,1,0,1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,2,0,0,1,0,0,0,0,0,2,1,0,1,0,0,0,1,2,1,1,0,0,0,0,0,1,2,0,1,0,1,1,0,0,0,0,2,1,1,1,0,0,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,1,1,0,2,0,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,1,0,0,2,0,1,0,0,1,1,1,2,0,2,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,1,2,0,2,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,1,0,2,1,0,0,0,0,0,0,0,0,2,0,1,0,1,0,1,1,1,1,0,0,1,0,2,0,2,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,2,2,0,0,0,1,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,0,1,2,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,2,1,0,1,1,0,0,0,1,2,2,2,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,1,1,0,1,0,2,0,1,1,0,0,0,0,0,0,0,0,1,2,1,0,0,1,0,1,0,0,0,0,0,0,0,2,0,1,1,1,1,0,1,2,0,1,1,1,0,1,2,1,2,1,1,1,0,0,0,0,0,1,0,1,2,1,0,1,0,0,0,0,1,1,0,0,0,1,1,1,1,0,2,1,1,0,1,0,2,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,2,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0,2,0,1,1,0,0,1 1,0,2,1,0,1,0,0,0,1,2,0,0,0,2,1,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0,1,1,2,1,1,1,0,0,1,0,2,1,0,0,0,0,1,1,1,1,1,1,0,0,0,1,0,1,2,0,0,2,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,0,1,0,1,1,0,0,2,0,0,0,1,0,1,0,0,1,2,2,0,0,2,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,2,0,2,1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0,1,1,2,0,0,2,0,1,0,1,0,0,0,2,0,0,2,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,2,1,0,0,0,0,1,0,0,2,0,1,0,1,0,1,2,0,1,0,1,0,1,0,0,1,0,0,0,2,0,0,1,0,0,0,1,0,2,0,0,0,1,0,2,1,1,1,0,0,1,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,2,1,0,0,0,2,1,0,0,1,1,0,0,1,0,0,1,0,2,0,1,0,0,0,0,0,2,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,2,0,0,1,0,0,2,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0,1,1,2,1,1,0,1,1,1,0,2,1,0,0,0,1,0,0,0,0,0,1,2,0,0,1,0,0,2,2,1,0,1,1,0,0,0,0,2,0,0,0,0,1,0,2,0,1,0,1,1,1,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,2,2,1,2,0,2,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,2,0,0,1,0,2,0,0,0,0,0,0,1,0,1,0,0,1,2,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,1,0,2,1,1,0,0,0,0,0,2,2,1,1,1,2,0,0,1,0,0,1,0,1,0,2,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,2,1,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,2,0,1,1,0,0,0,0,0,1,0,2,0,0,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,2,1,0,1,1,0,1,0,0,1,0,1,0,2,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,2,0,0,1,0,1,0,0,0,0,0,1,0,0,2,0,0,1,2,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,1,2,0,2,0,0,0,0,0,0,0,1,0,1,1,2,1,1,0,0,1,0,1,0,0,0,1,2,0,1,1,2,1,1,0,2,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,1,1,0,0,2,2,0,1,0,2,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,2,1,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0,1,2,0,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,2,2,1,1,2,1,0,1,0,1,1,1,1,0,0,0,0,1,0,2,0,1,0,1 0,0,0,1,1,1,1,1,1,0,2,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,2,0,1,0,1,1,0,0,1,2,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,2,1,0,1,0,0,2,0,1,2,1,0,0,1,0,0,0,1,0,2,0,1,1,1,2,1,0,0,0,0,1,1,0,1,2,0,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,2,0,2,0,0,0,0,2,2,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,1,0,2,0,0,0,0,1,0,1,1,0,1,0,1,1,0,2,0,1,1,0,1,2,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,2,2,1,0,1,0,0,1,0,1,1,1,0,2,1,1,1,0,1,0,1,2,0,0,1,1,0,2,0,1,1,1,0,1,2,0,1,0,1,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,2,0,0,1,1,0,0,0,2,2,1,0,1,0,1,0,0,1,0,0,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,1,2,0,0,0,0,1,2,1,1,2,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,1,1,1,1,1,0,0,1,2,1,0,1,0,1,1,0,2,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,2,1,1,1,2,2,0,1,0,0,0,1,0,1,0,2,1,1,2,1,0,2,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,1,1,2,0,0,0,0,0,2,1,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,2,0,1,1,0,0,0,1,0,0,2,0,1,0,0,0,2,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,1,1,1,0,0,0,0,1,0,2,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,2,0,0,1,1,1,1,0,0,0,1,1,0,1,1,0,1,1,1,1,1,2,1,0,1,2,1,1,1,2,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,2,0,0,2,0,0,0,0,0,0,1,1,0,0,2,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,2,0,0,0,0,0,1,0,2,1,1,0,1,0,2,1,1,0,0,0,1,1,0,1,0,0,2,1,0,1,1,1,0,0,0,0,0,2,0,0,0,2,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,1,1,0,1,1,0,1,1,0,1,0,2,2,0,0,2,1,2,1,0,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,2,0,0,0,2,0,0,0,0,1,1,0,2,0,0,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0,1,1,1,1,1,2,1,1,0,0,0,0,0,0,1,0,2,1,0,2,0,0,1,2,1,0,0,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,1,0,2,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,2,0,1,0,0,1,1,2,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,2,0,0,0,1,0,1,2,0,0,0,1,1,0,1,0,0,0,0,1,0,1,2,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,1,0,2,2,2,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1 0,0,2,2,0,0,1,0,2,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,2,1,1,0,1,1,2,0,0,0,0,0,1,0,1,1,2,2,0,2,1,1,0,1,0,0,2,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0,2,0,2,2,0,0,1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,2,1,0,0,0,1,0,2,1,2,0,1,0,2,1,1,0,1,2,1,0,1,0,0,0,0,2,0,0,1,0,0,1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,2,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,1,2,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,2,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,2,0,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,2,0,0,1,1,0,0,2,1,1,2,0,1,0,0,1,0,1,0,1,2,1,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,1,0,1,2,0,0,0,0,2,1,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,2,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,2,0,0,1,1,0,0,0,2,0,0,1,0,2,1,1,0,0,0,2,0,0,0,1,2,0,0,1,0,0,1,0,0,1,1,1,1,2,0,1,0,1,0,1,2,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,2,1,0,0,0,0,1,2,1,1,1,2,2,0,0,1,0,0,0,0,0,2,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,1,0,2,0,1,0,0,0,1,0,1,1,0,0,2,1,0,0,1,0,0,0,1,0,2,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,1,1,0,1,0,2,0,1,1,0,1,2,0,0,2,0,0,1,1,1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,1,1,2,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,2,0,1,1,0,1,2,1,1,0,1,0,0,0,0,1,2,0,1,0,0,1,0,0,1,1,2,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,0,2,1,1,0,0,0,1,0,0,1,0,0,1,2,0,1,2,1,1,1,0,0,1,0,0,1,1,0,2,1,0,1,0,1,1,0,0,0,1,0,1,2,1,0,1,0,1,0,1,1,2,0,2,0,0,1,1,0,0,0,1,1,0,0,2,0,1,1,0,1,0,1,0,0,2,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,2,0,0,0,0,1,2,1,0,0,0,1,0,0,1,0,0,2,0,1,0,1,1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,2,0,0,1,1 0,0,1,1,0,0,1,1,0,2,1,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0,2,0,0,0,1,1,1,1,0,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,2,1,1,0,0,1,1,0,1,0,0,2,1,1,1,0,0,0,1,2,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,2,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0,2,0,0,0,1,0,0,1,1,1,1,1,0,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,2,1,0,0,0,2,2,0,0,1,0,1,1,1,0,2,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,1,0,1,0,1,1,0,2,0,1,1,0,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,1,2,0,0,0,1,0,0,0,0,1,2,1,0,1,1,2,0,0,0,2,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,2,0,1,1,0,2,0,1,0,1,1,1,0,0,1,1,1,1,0,1,0,0,0,2,0,0,0,1,1,0,1,1,0,0,1,0,0,0,1,1,2,1,1,1,2,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,2,1,0,1,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,1,0,0,1,0,1,1,0,2,0,1,0,1,0,0,1,0,1,2,0,0,0,0,0,1,1,2,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,2,0,1,2,0,0,0,1,0,0,1,1,0,1,0,2,0,2,0,1,1,2,1,1,1,0,0,2,2,0,0,0,0,0,0,2,1,0,1,0,1,0,1,1,0,1,1,1,1,1,1,2,0,2,1,0,2,1,0,2,2,0,2,2,1,1,0,0,0,1,1,1,1,1,0,2,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,2,0,0,0,1,1,0,0,0,0,2,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,2,0,0,0,1,1,0,0,0,1,0,0,1,0,0,1,1,2,0,1,0,1,0,2,0,1,1,2,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,0,2,2,1,0,0,1,0,1,1,2,2,1,0,0,0,1,2,1,1,1,0,0,2,0,0,1,1,0,2,1,1,2,1,1,0,0,0,2,2,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,1,0,2,0,0,0,0,2,0,1,1,0,0,0,1,0,2,0,1,1,1,0,0,1,0,1,0,1,0,1,1,1,0,1,2,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,0,0,1,2,0,1,0,0,2,1,0,0,0,1,0,0,0,2,1,0,0,0,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,2,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1 0,0,0,2,1,0,0,2,0,0,1,1,0,1,1,1,0,0,2,1,0,0,0,0,0,1,2,0,0,0,1,0,1,1,0,0,1,0,1,0,2,1,0,1,1,0,0,0,0,1,1,0,0,0,2,0,2,0,0,1,0,0,0,1,1,0,0,1,2,1,0,1,1,1,0,1,1,0,0,0,0,0,0,2,0,1,1,0,1,0,0,1,0,0,1,2,0,0,2,0,1,1,1,2,1,0,0,0,1,1,2,0,0,0,0,1,0,0,1,2,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,1,1,1,2,0,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,0,1,0,2,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,1,2,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,2,1,1,0,0,2,0,2,2,0,1,0,1,1,1,2,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,2,0,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0,2,0,0,0,0,2,0,0,0,1,1,0,2,0,0,0,2,0,2,0,1,0,0,1,1,0,2,0,1,0,0,0,1,0,1,1,0,0,0,1,0,2,0,0,0,1,0,0,0,0,0,2,1,0,0,1,0,0,0,0,2,0,1,0,1,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,1,0,2,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0,0,2,1,1,0,0,2,0,2,1,2,1,1,1,1,0,0,0,2,1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,2,0,1,0,0,1,1,1,1,0,1,1,0,1,1,1,1,1,1,0,1,1,0,1,0,0,0,2,1,2,1,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,1,0,2,2,1,0,1,1,0,1,1,0,1,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,1,0,2,0,2,0,1,2,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0,1,0,1,0,0,1,1,0,0,0,2,1,0,1,0,1,0,0,1,0,0,1,0,0,0,2,1,0,0,1,0,1,2,1,0,1,0,0,0,0,1,0,0,2,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,2,1,0,0,1,2,1,1,0,0,1,2,1,0,1,0,0,2,1,0,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,1,0,0,1,0,2,1,1,0,1,0,1,0,1,0,0,2,2,1,1,0,0,0,1,0,1,0,1,0,0,0,2,0,0,0,0,0,0,1,1,0,0,1,0,2,2,1,0,0,0,0,0,0,0,0,0,0,0,1,2,1,1,0,2,0,2,2,1,1,0,0,0,2,1,2,1,1,1,0,1,0,1,0,0,0,0,2,0,1,1,0,2,1,0,0,1,1,2,0,0,2,0,0,1,0,1,2,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,2,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,1 1,0,0,1,1,0,1,0,2,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,2,1,0,0,0,0,1,0,0,0,1,0,0,1,1,0,2,0,1,0,1,0,0,0,0,0,0,2,0,0,1,1,1,0,0,0,1,0,2,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,2,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,2,1,0,0,2,0,0,1,1,0,1,1,0,1,0,0,0,0,1,2,0,0,1,0,0,1,0,2,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,2,1,0,0,1,0,1,1,2,0,2,0,0,0,0,0,0,2,0,1,1,0,2,0,0,1,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,2,1,1,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,0,2,0,0,2,2,1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,2,1,0,0,1,1,2,0,0,1,1,2,1,0,0,0,0,0,1,2,1,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,1,0,1,2,0,0,0,0,0,0,2,2,0,0,2,0,0,1,1,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,1,2,0,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,2,1,0,0,0,0,1,1,1,1,0,0,0,1,1,0,1,1,1,2,1,0,0,1,1,2,0,1,0,1,0,1,0,1,0,0,0,1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,2,1,0,0,1,1,0,1,0,0,0,1,1,2,1,1,1,1,1,0,2,0,2,1,0,0,0,0,1,1,1,0,0,1,0,0,0,1,1,0,1,2,1,1,1,0,0,2,1,0,0,2,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,0,2,0,1,1,1,1,0,0,0,2,0,0,2,1,1,1,1,1,1,0,1,0,1,1,0,0,0,2,0,2,2,2,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,2,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,2,1,1,0,1,1,1,0,2,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,2,0,0,0,1,0,1,0,0,1,0,0,0,2,1,0,1,1,1,1,0,1,2,1,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,2,1,1,1,0,1,2,0,0,0,0,0,1,1,0,0,0,1,2,1,2,1,0,0,1,0,0,1,1,0,0,0,0,0,2,1,2,1,0,1,2,1,0,0,0,0,0,1,0,2,1,1,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,2,0,0,0,0,2,0,0,2,0,0,0,1,1,0,2,0,1,1,1,0,0,0,0,0,0,1,0,1,1,1,1,2,0,1,0,2,1,0,0,2,1,1,1,0,0,0,0,1,1,0,2,0,2,0,0,1,1,0,1,0,2,0,1,1,2,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,0,1,2,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,1,2,1,1,0,0,0,2,0,1,0,0,0,0,0,1,2,0,0,0,0,0,2,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0,2,0,1,1,0,1,1 2,0,1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,1,2,1,0,2,0,0,0,1,0,0,1,1,0,0,2,1,0,0,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,1,2,1,0,0,1,1,0,0,1,0,0,0,0,2,1,1,1,1,0,0,0,0,0,2,0,0,1,0,0,2,0,1,2,0,0,0,0,2,0,0,1,1,0,0,0,0,0,0,2,0,1,0,0,1,0,2,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,2,1,1,0,0,1,0,1,1,0,1,0,1,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,2,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,2,0,1,1,0,1,0,0,0,0,0,2,1,0,0,0,1,0,0,0,1,1,2,0,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,2,2,2,1,0,1,1,2,0,0,0,0,1,1,0,2,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,2,0,0,0,2,0,1,0,0,0,0,1,0,0,1,0,2,1,0,0,1,1,1,2,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,2,0,0,0,0,1,0,1,0,0,2,1,2,0,1,1,0,1,0,1,1,0,0,0,0,2,0,0,1,0,1,0,0,1,0,0,0,0,1,1,1,1,0,0,0,2,2,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,1,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,2,2,1,1,1,1,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,2,0,1,0,0,1,0,0,0,2,0,1,0,1,1,2,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,2,0,0,1,0,0,2,2,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0,1,0,1,2,1,1,0,1,0,1,2,0,0,0,0,0,0,0,1,2,0,0,0,1,0,2,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,2,2,1,2,1,1,1,0,0,0,2,1,0,0,1,0,1,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,2,1,0,1,0,1,1,1,0,1,1,0,0,0,0,2,0,0,0,0,0,2,1,1,1,1,2,1,0,1,0,0,2,1,0,2,0,0,0,1,0,1,0,0,0,0,0,1,1,2,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,2,1,0,1,0,2,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,2,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,2,0,0,2,1,0,0,0,0,0,0,1,0,1,1,2,1,1,1,1,0,0,2,1,1,1,1,2,1,1,1,0,1,1,2,1,0,0,0,2,0,0,0,2,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,1,2,0,0,0,0,0,1,1,0,1,1,0,0,2,2,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,2,1,0,1,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,1 0,0,0,1,1,0,0,0,0,0,1,2,2,0,0,0,0,1,1,0,0,1,0,0,0,2,0,2,0,0,0,0,0,1,2,0,1,1,0,1,2,1,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,1,1,1,0,2,2,0,2,1,2,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,2,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,2,0,0,2,0,1,1,0,1,0,0,1,0,0,1,0,1,0,2,0,0,1,0,1,0,1,0,0,0,0,1,2,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,2,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,1,2,0,0,0,0,0,1,0,0,2,1,1,1,1,1,2,0,1,1,1,1,1,0,0,2,1,0,0,0,1,1,1,0,0,0,1,1,0,1,2,0,0,0,0,0,1,0,1,0,0,0,0,2,0,1,0,1,0,0,0,1,1,1,0,0,0,0,1,0,2,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,1,0,0,1,1,1,0,1,0,0,2,0,0,0,1,0,0,2,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,2,0,1,1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,2,1,0,0,1,1,0,0,2,0,0,0,0,2,0,0,1,1,0,1,0,0,1,0,0,0,1,1,1,1,0,1,1,2,1,1,2,0,0,0,1,0,1,1,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,2,2,0,1,0,0,0,1,0,0,1,0,2,1,0,0,0,1,1,2,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,1,0,2,1,1,0,2,1,0,0,1,1,1,0,0,1,2,0,1,0,1,1,0,0,1,0,0,0,2,0,1,0,1,0,2,0,0,0,0,0,0,1,0,2,1,0,0,0,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,1,1,1,0,1,1,0,1,2,0,1,0,0,0,1,0,0,1,0,0,0,1,1,2,0,0,1,1,0,0,0,0,0,1,0,0,1,2,1,1,0,0,0,0,0,1,1,0,2,2,0,0,1,0,0,2,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,2,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,2,1,1,1,0,0,0,1,0,1,1,2,1,0,2,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,2,0,1,2,0,1,1,1,0,1,2,2,2,2,2,0,0,1,1,1,0,0,0,2,1,0,2,0,0,0,0,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0,1,2,0,1,2,1,0,1,1,0,1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,2,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,2,0,1,0,0,0,1,0,0,1,0,1,2,1,1,0,0,1,1,0,1,0,0,0,2,0,1,1,2,0,0,1,0,0,0,1,1,0,2,0,0,1,0,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,1,0,1,2,0,0,0,1,0,1,1,1,0,0,1,0,1,0,1,1,1,1,2,1,0,1,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,2,0,0,2,0,2,0,0,1,1,1,2,1,1,1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1 1,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,2,0,1,0,0,2,0,0,2,0,0,1,0,0,0,1,1,0,0,1,1,0,0,2,1,1,0,0,0,0,0,2,0,2,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,2,0,0,1,1,0,0,0,2,2,1,1,0,0,0,0,2,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,2,2,0,0,0,0,1,0,0,2,0,0,0,1,1,0,1,0,0,2,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0,2,1,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,1,2,1,0,0,2,0,2,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,1,0,2,1,1,0,1,2,1,1,0,1,0,0,1,1,2,0,0,1,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,2,1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,2,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,2,1,1,0,0,2,0,1,1,0,1,1,2,1,1,0,2,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,2,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,2,0,1,1,1,0,2,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,2,0,1,1,1,0,0,0,0,1,0,1,1,0,0,2,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,1,1,0,0,2,1,0,0,1,1,0,0,0,0,2,0,0,0,2,0,0,0,1,0,0,1,1,0,1,1,0,0,0,2,0,0,1,2,0,0,0,0,0,1,0,1,0,0,0,1,2,2,0,1,1,1,0,0,0,1,2,1,1,0,0,0,0,1,2,2,0,1,2,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,0,0,2,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,2,1,2,1,1,0,0,0,1,2,1,1,0,1,0,1,0,1,0,1,0,2,0,0,2,2,2,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,2,2,0,0,1,0,2,0,0,0,1,0,0,0,1,2,0,2,2,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,2,0,0,1,1,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,2,2,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,0,2,0,2,0,0,0,0,2,1,1,2,2,1,1,0,0,0,1,0,0,1,2,0,1,2,0,0,0,2,1,1,0,0,0,0,1,0,1,2,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,2,1,0,0,1,1,0,0,1,0,1,1,1,0,0,1,1,1,2,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,2,2,0,0,1,0,0,0,1,1,2,1,0,0,0,0,1,0,1,0,0,0,1,2,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,2,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,0,1,1,1,0,1 1,0,0,1,0,1,0,1,1,1,2,1,0,1,1,0,0,1,0,0,0,0,0,1,0,1,1,2,1,0,1,0,1,1,0,0,1,1,1,1,2,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0,2,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,2,0,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,1,2,2,0,2,0,1,1,0,2,1,0,0,2,0,1,1,0,0,0,0,1,0,1,1,0,0,2,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,2,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0,1,2,1,0,2,0,1,0,0,0,1,1,0,0,0,0,2,0,0,0,0,2,0,0,2,0,0,0,1,0,0,0,1,0,1,0,1,2,0,0,0,0,0,0,2,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,2,2,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,1,1,1,0,0,1,1,1,1,0,1,0,2,2,1,2,0,1,0,0,0,0,1,1,0,0,0,2,0,0,1,0,0,0,1,1,0,2,0,0,0,2,0,1,1,1,0,0,1,2,1,1,0,0,0,2,2,0,0,0,0,0,2,0,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,2,0,0,0,1,0,1,0,1,0,0,1,1,2,0,0,0,2,0,0,0,1,0,0,2,0,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,1,2,0,2,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,2,1,0,0,1,1,2,0,0,1,0,2,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,1,2,1,1,1,1,0,1,0,0,0,1,0,1,2,2,1,0,0,2,0,0,1,2,0,0,1,1,0,1,1,0,2,1,0,0,0,2,0,0,0,0,1,0,0,0,1,1,1,1,0,1,2,1,1,0,1,1,2,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,2,1,0,1,0,1,0,0,0,1,0,2,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,2,0,1,0,1,2,1,2,0,1,1,0,1,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,1,1,0,2,1,0,0,0,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,2,1,1,2,1,2,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,2,1,1,1,2,0,1,0,1,0,0,0,2,0,1,1,1,0,0,1,0,0,0,0,2,1,1,0,0,1,1,2,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,2,1,2,1,2,0,0,0,0,0,1,0,0,1,2,1,1,0,0,0,0,1,1,1,0,0,2,0,1,1,0,0,2,0,0,0,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,2,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,2,0,0,1,1,1,2,1,1,0,0,2,0,0,1,1,0,0,0,0,0,0,1,2,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,1,1 1,0,0,2,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,1,2,2,1,0,0,0,2,1,0,0,1,0,1,0,2,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,2,0,0,0,0,1,1,0,0,2,0,0,0,1,0,0,0,0,0,2,2,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,2,0,0,1,1,0,0,1,0,1,0,1,1,1,1,0,1,0,0,0,2,0,1,0,0,2,1,0,0,0,0,1,2,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,2,1,1,2,0,1,0,0,1,0,2,0,0,0,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,2,2,0,0,0,0,0,1,0,2,0,0,1,0,2,1,0,0,1,2,2,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,2,1,1,0,1,1,0,0,1,0,1,2,2,1,0,0,2,0,1,0,1,1,0,0,2,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,2,1,0,0,0,1,1,0,0,0,1,1,0,0,0,2,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,2,0,0,0,1,0,0,0,0,1,0,0,1,0,2,0,1,2,1,1,1,0,1,0,0,0,1,1,2,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,1,1,0,1,0,2,1,0,1,0,1,0,1,0,1,2,0,0,1,1,0,0,0,0,1,2,1,0,1,2,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,2,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0,1,2,0,0,0,1,1,0,2,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,2,1,0,0,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,2,2,0,0,2,2,0,0,2,1,2,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,2,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,0,0,1,1,0,0,2,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,1,1,1,1,2,0,2,1,2,0,0,0,1,0,1,1,0,0,0,0,1,2,1,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,2,2,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,1,2,0,0,1,1,0,0,2,1,1,2,0,1,0,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,2,2,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,2,2,0,0,1,1,1,1,1,0,0,1,1,1,1,0,2,0,0,1,0,0,1,1,1,1,1,0,0,0,0,1,1,1,1,2,0,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,2,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1 0,0,1,1,0,0,1,1,1,1,1,1,1,2,1,0,0,0,0,0,0,0,0,0,1,1,2,0,2,1,1,0,1,0,0,0,2,1,0,0,1,2,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,2,1,0,2,0,1,0,0,1,1,2,0,0,0,0,0,1,0,1,1,0,1,0,2,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,2,0,0,1,1,2,0,0,1,1,2,0,1,1,1,1,1,1,2,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,2,1,0,1,1,1,0,0,1,0,0,1,1,2,1,1,1,1,2,0,2,0,0,1,0,1,0,0,1,0,1,0,0,1,0,1,2,0,0,0,1,0,0,0,1,1,1,2,0,0,2,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,2,0,2,1,0,1,1,1,0,1,2,1,0,1,0,0,0,2,0,0,1,0,0,1,1,0,1,1,1,0,0,0,2,2,2,0,0,1,0,0,2,0,1,0,0,1,1,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,2,1,0,1,1,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,2,1,0,0,1,1,1,0,1,0,1,0,2,2,0,0,1,1,0,0,0,0,1,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,2,0,0,0,0,0,2,0,1,0,1,0,0,0,0,0,0,2,1,0,1,1,0,2,0,0,1,0,2,1,0,0,0,0,0,0,1,2,0,0,0,0,0,1,1,1,1,1,0,0,2,0,0,1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,2,2,2,1,1,0,0,1,2,0,0,0,1,0,0,0,0,2,1,1,0,0,1,1,0,0,0,1,2,1,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0,0,1,2,1,0,0,1,1,0,0,1,1,0,0,0,2,0,1,0,1,2,0,1,0,0,1,0,0,0,0,1,1,1,0,0,1,0,2,1,0,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,1,0,1,0,2,0,0,0,0,1,1,0,1,2,2,0,1,1,0,2,0,0,1,0,1,0,2,1,0,1,1,0,0,1,0,0,0,1,1,2,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,1,2,1,1,1,1,2,0,1,0,2,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,1,2,0,0,0,0,0,0,1,2,1,0,0,2,0,1,0,1,0,1,0,0,0,1,0,0,0,1,0,2,1,1,0,1,0,0,1,1,0,2,0,2,1,2,2,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,2,0,2,0,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,2,1,1,1,0,0,0,0,2,0,1,1,0,0,0,2,0,1,0,2,0,0,0,1,0,1,0,1,0,0,0,0,1,1,2,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,2,1,1,2,1,0,0,1,1,0,1,0,2,1,0,0,0,0,2,0,1,1,0,0,1,1,1,1,0,2,0,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,2,1,0,1,0,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,2,0,0,1,0,1,1,0,0,2,0,0,0,1,2,2,0,0,0,0,0,0,0,1,2,1,1,0,0,1,0,1,2,0,0,1 2,0,2,1,1,0,0,0,2,0,2,2,0,2,0,1,0,1,1,0,0,0,1,0,1,1,1,1,1,1,2,0,1,0,1,0,1,1,1,0,2,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,1,1,0,0,1,1,1,2,0,0,0,2,0,0,0,1,0,1,0,1,0,0,2,2,1,0,1,0,0,0,1,1,0,0,2,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,2,0,1,1,0,2,1,0,1,1,0,0,0,0,1,2,0,0,2,0,2,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,0,0,1,1,0,1,2,0,0,0,0,1,2,2,1,1,0,0,1,1,0,1,0,2,0,0,0,0,1,0,0,2,0,0,0,0,0,2,0,2,0,0,2,1,1,1,0,2,1,0,0,1,0,0,2,1,2,1,1,0,0,0,0,1,0,0,2,0,0,1,1,0,0,0,0,0,0,0,1,1,2,1,1,0,1,1,0,0,2,2,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,2,2,0,1,1,1,0,0,0,1,2,0,0,2,1,1,2,0,0,0,0,1,0,1,0,0,0,2,1,0,1,1,1,0,0,2,0,1,0,1,1,0,1,1,0,1,1,1,2,1,2,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0,2,1,0,0,2,2,1,0,1,2,0,0,0,1,0,0,2,1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,2,1,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,2,2,0,2,1,0,1,1,0,0,1,1,2,2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,2,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,2,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,2,1,0,0,0,2,0,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,0,1,2,0,0,0,0,0,0,1,1,1,0,1,1,0,0,2,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,2,0,0,2,2,0,0,1,1,1,0,1,0,1,0,1,2,1,0,2,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,2,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,2,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,2,1,1,2,2,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,0,1,2,1,0,1,0,0,0,0,1,2,0,1,1,1,1,0,0,0,1,0,0,0,1,1,0,2,0,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,2,0,0,1,0,0,0,1,0,2,1,1,2,2,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,2,0,1,1,0,1,0,0,0,0,1,0,2,1,0,0,1,1,1,1,1,1,0,0,1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,2,0,0,1,2,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,2,1,0,2,0,0,0,0,2,1,1,1,0,0,1,0,0,1,2,1,0,0,0,2,1,0,2,0,0,2,0,0,0,0,0,1,0,2,1,1,0,0,1,1,0,0,0,2,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,2,0,0,2,0,0,1,0,0,0,1,1,2,1,0,0,0,0,0,1,1,1,1,0,0,0,1,0,2,1,1,0,1 0,0,1,2,0,1,0,0,0,1,1,1,0,1,2,0,0,1,0,0,1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,2,0,0,0,1,1,0,1,1,0,0,1,0,2,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,2,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,2,1,2,0,1,0,1,1,0,2,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,2,1,0,1,1,1,1,0,0,1,0,2,0,0,0,0,2,1,0,2,1,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,0,1,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,1,0,0,1,1,1,0,1,1,0,0,0,0,2,1,1,1,0,0,0,0,0,1,0,0,0,2,1,1,1,0,0,0,0,1,1,0,0,0,2,1,0,0,0,1,0,1,1,1,1,0,0,0,2,2,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,2,0,0,1,1,1,0,2,1,1,0,0,0,0,0,0,1,0,0,1,0,1,2,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,2,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,1,1,2,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,2,0,0,1,2,0,0,0,1,2,0,0,1,1,0,0,1,0,1,0,1,0,2,1,1,1,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,1,1,0,0,0,0,1,2,1,0,1,0,1,1,0,2,0,1,1,0,1,1,0,2,0,1,0,0,0,1,0,0,2,2,1,1,1,0,0,1,0,2,0,2,1,0,0,1,0,2,0,1,2,0,0,0,1,2,1,0,0,0,2,2,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,2,0,0,1,0,0,1,1,0,1,2,1,1,2,1,1,1,2,0,0,0,1,2,0,0,0,1,0,1,1,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,1,0,1,0,2,0,1,0,1,0,0,0,2,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,2,0,2,1,1,0,2,1,2,2,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,2,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,2,1,1,1,0,2,1,0,0,1,1,0,1,1,2,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,1,0,2,2,0,2,0,1,2,2,0,1,0,1,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,1,2,0,0,1,0,1,1,0,2,0,0,0,0,0,1,1,1,2,1,0,1,0,0,0,0,1,0,0,1,0,0,2,1,0,0,0,0,0,0,0,1,1,2,2,2,0,1,2,0,0,1,0,0,1,1,0,2,0,0,0,0,1,1,0,1,0,1,0,2,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0,2,1,2,2,0,0,0,0,1,0,0,2,0,2,0,0,0,0,1,0,0,0,0,2,0,2,0,1,0,0,0,0,1,1,1,2,0,0,0,0,0,0,1,0,2,1,1,0,0,2,0,0,0,1,0,1,0,1,1,1,0,2,0,1,0,2,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,2,0,1,0,0,2,0,2,0,2,0,0,0,1,2,0,0,0,0,0,0,0,2,1,1,0,1 1,0,0,1,0,0,2,1,1,2,1,1,0,1,2,1,0,1,0,0,0,0,1,0,0,1,1,2,0,0,1,0,0,1,0,0,1,0,1,0,1,1,1,1,0,1,0,2,1,0,1,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,1,2,1,2,0,1,1,0,0,1,0,1,0,2,0,1,0,0,1,1,2,0,1,0,0,0,2,1,0,0,1,0,0,1,1,0,1,0,1,1,1,0,0,1,1,2,0,1,2,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,2,1,0,1,0,2,0,0,0,1,2,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,2,0,0,1,1,1,0,1,1,1,0,1,0,2,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,1,2,1,0,0,1,0,1,0,1,0,0,1,0,0,0,2,0,0,1,1,0,0,0,2,0,1,0,1,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,1,2,1,2,0,0,0,0,2,2,0,1,0,0,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,2,0,2,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,2,0,1,1,2,0,0,1,2,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,1,1,0,0,2,0,1,2,0,1,0,0,1,0,0,0,0,2,0,1,2,1,0,0,1,1,2,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,2,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,2,0,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0,2,0,0,1,0,0,0,0,0,1,2,1,0,0,0,0,1,0,1,1,0,1,0,0,0,2,1,0,0,0,0,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,2,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,0,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0,2,0,0,1,0,0,2,1,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,2,1,1,1,2,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0,2,1,0,2,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,2,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,2,2,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,1,2,1,0,0,0,0,0,1,0,0,1,2,0,1,0,0,1,0,0,0,0,1,0,0,0,1,2,1,2,1,2,2,1,0,0,0,0,1,0,2,0,0,0,1,0,2,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,2,0,0,0,0,1,1,1,1,2,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,2,0,0,1,1,0,0,1,0,0,0,2,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,2,0,0,0,2,0,2,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,1,1,0,0,1,0,1,1,0,2,0,1,0,0,0,0,1,1,1,0,0,0,1,2,0,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0,2,1,0,1,0,0,1,0,0,0,0,0,2,0,0,1 0,0,1,0,1,0,0,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,2,0,1,1,1,1,1,1,0,0,0,1,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,1,2,2,0,0,0,1,0,1,2,0,0,1,0,0,2,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,2,0,0,1,0,1,1,0,1,1,0,2,1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,1,1,0,2,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,1,1,0,0,2,1,0,0,0,2,0,1,1,0,1,1,1,0,0,2,0,0,0,1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,1,1,0,0,1,1,0,2,1,0,0,0,1,1,0,2,1,1,0,1,0,0,1,1,1,0,0,0,0,2,0,2,0,0,0,1,2,0,0,0,2,0,0,0,0,2,1,0,0,0,2,0,0,1,0,0,0,0,2,1,0,0,0,0,2,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,2,1,0,0,0,1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,2,0,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,2,2,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,1,2,2,0,2,0,0,1,0,0,1,0,0,0,1,0,2,0,0,1,0,1,0,1,2,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,2,2,0,0,1,0,0,1,0,1,0,1,0,2,1,1,0,0,0,1,0,0,2,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,0,0,1,1,1,0,0,2,0,0,1,0,1,1,1,0,0,0,1,0,1,2,0,0,2,0,0,0,1,1,1,2,0,2,1,0,1,0,0,2,1,0,0,0,1,0,1,2,1,0,0,1,0,1,1,1,2,0,2,1,1,0,0,1,0,1,0,1,0,2,0,0,0,0,0,0,2,0,0,2,0,0,2,1,0,0,2,0,2,0,0,0,1,0,0,0,1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,2,0,2,0,1,1,0,1,2,0,0,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0,1,1,1,2,2,1,0,0,0,1,0,0,0,1,0,1,2,1,2,2,0,2,1,0,0,0,1,1,2,0,0,2,0,1,0,0,0,0,0,1,0,1,0,1,0,2,1,1,2,0,2,1,1,2,0,0,1,0,0,0,0,0,1,1,0,2,0,1,1,2,1,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0,1,2,0,0,1,2,0,0,1,0,0,2,2,1,2,0,0,0,2,0,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,2,1,2,0,0,1,1,1,0,0,1,1,0,1,2,0,0,1,1,0,0,1,2,0,1,0,1,0,0,0,0,0,0,0,1,1,1,1,0,0,2,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1 1,0,2,1,0,1,0,0,0,2,0,2,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,2,1,0,0,0,2,2,0,0,1,2,0,0,2,1,1,1,1,2,0,2,0,2,1,0,0,0,0,0,1,1,1,1,0,0,0,1,0,1,0,2,2,0,0,1,1,1,0,1,0,0,0,1,0,0,1,1,1,1,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,1,0,2,1,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,2,1,0,0,0,0,0,1,0,2,1,2,2,0,0,2,0,0,0,0,1,1,0,2,1,0,1,1,0,0,1,1,0,0,0,1,0,0,2,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,2,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,0,2,1,2,0,0,0,1,1,0,1,0,0,1,0,0,0,2,0,0,0,0,0,2,0,1,0,0,2,1,0,0,1,1,0,0,0,2,0,2,1,1,0,0,0,1,0,1,1,1,1,0,1,0,1,1,2,0,0,0,2,0,1,1,0,1,0,2,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,2,0,1,1,1,0,2,0,0,2,1,0,1,1,0,0,1,0,0,0,0,2,0,0,1,1,1,0,0,0,0,2,0,0,2,1,0,0,2,0,0,2,1,1,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,2,0,2,1,1,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0,1,1,1,1,0,1,2,1,0,0,1,0,0,0,0,0,0,2,0,1,0,1,0,1,0,1,0,0,0,0,1,0,2,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,2,0,0,1,0,2,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,2,1,1,0,1,0,1,0,0,0,0,0,0,0,0,2,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,2,0,1,1,0,1,1,0,2,0,0,1,1,2,0,0,1,1,0,0,2,1,1,2,0,0,0,0,0,0,2,0,2,0,1,0,0,0,1,1,0,1,1,0,1,1,0,0,1,1,1,1,1,0,2,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,1,0,1,0,0,2,0,0,0,0,0,0,0,2,1,1,1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,2,2,1,2,0,1,0,0,0,1,0,1,0,2,0,1,1,0,2,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0,1,1,1,2,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0,1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0,0,2,1,0,1,1,0,0,1,0,0,1,1,1,0,1,1,1,2,0,1,0,0,0,0,1,0,1,0,2,0,1,0,2,1,1,0,0,2,1,0,1,0,2,0,0,0,2,0,0,0,0,0,2,0,1,1,1,0,0,0,0,0,1,0,2,0,0,1,0,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,2,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,2,2,1,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,2,1,1,1,0,0,1,0,2,2,0,2,0,0,0,0,2,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1 0,0,2,1,2,0,0,0,1,1,2,1,0,0,1,0,0,1,1,0,0,0,1,1,2,1,2,1,1,0,1,0,1,1,0,0,0,2,0,1,2,0,0,0,0,0,0,2,0,1,2,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,1,0,0,0,2,1,1,0,1,1,0,0,1,0,2,0,1,1,0,0,1,1,0,2,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,2,0,0,0,1,1,1,1,1,1,1,0,0,0,2,1,0,2,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,2,2,1,1,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,1,1,2,1,2,0,1,0,2,0,2,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,2,2,2,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,1,1,0,0,2,2,0,0,1,1,1,0,1,0,1,2,2,0,0,0,2,0,0,1,0,1,0,1,0,0,2,0,0,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,2,1,0,0,0,0,0,0,0,0,1,1,2,0,0,1,1,1,0,2,1,2,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,1,2,2,1,2,0,2,0,1,0,2,0,1,0,2,1,0,0,2,0,1,1,1,0,1,1,2,1,1,0,1,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,2,1,0,1,2,0,0,0,2,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,1,1,2,0,1,0,0,0,0,1,1,0,2,0,1,0,0,0,1,2,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,1,1,0,0,0,2,2,1,0,0,1,0,0,0,2,0,1,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,2,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,2,2,0,0,0,0,0,1,0,1,0,1,0,0,0,2,1,0,0,0,1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0,2,0,1,0,2,0,1,0,1,0,1,0,2,0,1,0,1,0,1,0,1,0,2,1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,2,0,1,1,0,0,0,0,0,1,2,1,0,0,0,0,1,0,1,2,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,2,0,0,0,2,0,1,0,0,0,2,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,2,1,0,2,0,0,2,0,0,0,1,1,1,2,0,2,1,2,1,1,0,1,1,1,1,1,2,1,1,0,0,0,0,0,0,0,0,1,2,0,0,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,1,1,2,1,1,0,0,1,1,0,0,0,1,0,1,2,0,1,0,1,1,2,1,0,0,1,1,1,1,0,2,0,1,2,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,2,0,0,0,1,2,1,2,1,0,0,1,1,0,1,2,0,0,0,1,1,1,1,1,0,0,0,2,0,0,0,1,0,0,2,2,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,1,1,0,1 0,0,1,0,0,0,1,2,0,0,2,1,0,2,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,2,1,1,0,0,0,0,0,1,0,0,1,1,0,0,2,0,0,1,0,0,0,2,0,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,2,0,1,1,2,0,0,1,1,1,0,2,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,2,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,2,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,2,0,0,0,0,2,0,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,1,2,1,1,0,0,2,0,0,2,1,2,0,0,0,1,0,0,0,1,0,0,1,1,2,0,0,1,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0,2,1,0,0,2,2,1,2,1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,1,0,0,0,1,1,0,2,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,2,0,1,0,0,1,1,0,0,2,1,0,0,2,1,0,0,1,0,0,0,2,2,1,0,1,1,2,2,1,1,1,0,0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,1,2,1,1,1,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,2,1,2,1,1,0,0,1,2,0,1,0,1,0,0,0,2,2,1,1,0,1,1,0,1,1,0,0,0,2,1,0,0,1,1,0,1,0,0,2,0,0,2,0,1,0,1,0,0,0,0,0,1,0,0,1,2,1,1,0,0,0,2,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,2,1,0,0,0,0,1,0,0,1,1,1,0,2,0,1,0,1,0,0,0,1,1,0,1,0,0,1,1,2,0,0,1,1,0,1,0,0,0,0,0,0,2,1,1,1,0,1,1,2,1,1,0,1,0,0,0,1,0,2,2,0,1,0,1,1,1,1,1,0,1,0,0,1,0,2,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,1,1,2,1,0,0,0,1,0,1,2,0,0,2,0,0,1,0,0,0,0,1,2,0,1,0,0,0,1,0,1,0,0,0,0,0,2,0,1,2,1,1,0,1,0,1,1,0,0,0,2,0,0,2,1,1,1,0,0,0,2,0,2,0,1,1,0,0,0,1,1,0,0,1,0,1,0,0,2,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,2,0,1,0,1,0,2,0,1,1,0,0,0,1,0,0,0,0,0,1,2,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,2,0,1,0,0,0,1,0,1,1,1,2,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0,2,0,0,1,1,2,2,1,1,0,1,0,0,1,0,0,2,0,1,0,0,0,0,0,1,0,1,0,2,0,0,1,0,1,1,1,0,1,2,0,0,0,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,2,1,0,0,2,2,0,0,0,2,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,1,2,2,0,0,1,0,0,1,0,1,1,0,0,2,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,2,1,1,0,0,0,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,1,1,0,2,2,1 0,0,1,1,1,0,0,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,2,2,2,1,0,0,2,0,0,2,0,0,0,1,0,0,1,1,2,0,0,1,0,2,0,1,2,0,1,0,1,0,1,1,1,2,1,0,0,1,1,2,0,2,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,2,0,0,1,0,0,1,0,2,1,0,0,0,2,2,0,0,2,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,2,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,1,1,1,1,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,2,0,0,0,0,1,1,0,2,0,0,0,0,0,1,1,0,0,0,0,1,2,0,0,0,2,0,0,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,2,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,1,2,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,2,0,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,1,2,1,1,2,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,1,2,0,0,1,0,2,0,0,1,0,1,0,1,1,1,0,1,0,2,0,0,0,1,1,0,2,0,0,1,1,1,1,1,1,2,1,2,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,1,2,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,2,0,1,1,0,1,2,0,2,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,2,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,2,0,2,0,1,1,0,1,0,0,0,0,0,1,1,0,1,2,0,1,0,1,0,1,0,2,0,1,2,1,0,2,0,0,0,0,1,1,1,1,0,2,0,1,0,2,1,1,1,1,1,0,2,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0,0,2,1,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,2,0,2,0,2,0,0,0,0,1,0,0,0,0,2,0,0,0,2,0,1,1,1,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,2,2,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,2,1,0,0,0,0,0,1,2,1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,2,1,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1,1,2,0,0,1,1,2,1,0,0,1,0,1,0,1,1,1,0,2,1,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,1,1,0,1,2,1,0,0,1,1,0,1,0,1,2,1,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,2,0,0,2,0,0,1,0,1,0,0,0,1,1,0,2,2,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,2,1,0,1,1,1,0,1,1,0,2,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,0,1 0,0,2,1,1,1,1,1,0,2,1,1,1,0,1,1,0,1,2,0,0,0,0,0,1,0,2,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,1,0,0,1,0,1,2,0,0,1,0,0,1,0,0,1,2,0,0,0,0,0,0,1,2,0,2,1,2,0,0,2,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,2,1,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,2,0,0,1,2,1,0,1,0,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,2,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,2,0,2,1,0,0,0,0,0,0,1,0,1,0,1,0,0,2,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,2,0,0,1,1,0,1,1,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,2,0,1,0,2,0,0,0,0,0,1,1,0,0,0,2,0,1,1,1,0,0,1,0,1,0,0,0,1,2,0,0,0,1,2,1,0,0,1,0,0,1,0,2,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,1,2,1,0,0,0,2,2,2,0,1,1,0,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,2,1,0,2,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,2,1,0,0,1,1,0,1,1,0,0,1,2,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1,1,1,0,1,1,0,1,1,1,2,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,2,0,2,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,2,1,0,0,0,0,0,1,0,0,2,2,1,0,1,2,1,1,1,0,1,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,2,1,1,0,0,0,0,0,0,0,0,1,0,1,2,0,1,0,0,0,2,0,2,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,2,0,0,1,1,1,1,0,0,1,1,0,0,1,0,2,0,0,1,1,1,2,2,2,0,1,0,2,1,1,0,1,1,1,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,1,2,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,2,1,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,1,1,1,2,0,2,0,0,0,0,1,0,0,1,0,1,1,0,1,1,1,0,1,2,2,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,1,0,1,0,1,2,1,0,0,1,2,0,0,2,0,0,1,0,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,2,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,2,1,0,0,1,0,0,0,1,0,1,1,0,0,2,0,0,0,0,0,1,1,2,0,2,1,2,0,0,0,1,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,1,0,2,1,1,0,2,1,2,0,0,0,1,1,0,0,1,2,0,0,0,1,1,1,1,0,1,1,0,0,0,1,1,1,2,0,0,0,0,1,0,2,2,1,0,1,1,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,2,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,1,1,0,0,2,0,0,1,0,1,1,0,0,2,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,2,1,0,0,1 1,0,1,0,0,1,1,0,1,1,1,0,0,2,1,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0,2,0,0,0,0,1,0,1,2,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,2,0,0,2,0,1,1,1,1,2,2,0,0,1,1,1,1,0,1,1,1,0,0,0,2,0,1,0,0,0,0,1,1,1,0,0,2,0,1,1,0,0,0,0,1,1,0,0,1,2,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,2,0,1,2,1,2,0,0,0,0,1,1,0,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,1,2,0,2,1,2,1,2,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,1,1,2,0,0,1,0,0,0,1,0,1,1,2,1,2,0,0,1,2,0,0,0,1,0,0,2,1,0,0,1,0,2,1,0,2,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,1,1,2,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,2,1,0,2,1,1,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,2,0,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,1,0,1,0,1,2,1,2,0,1,1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,2,0,0,0,2,0,0,1,1,1,1,2,0,0,0,0,1,0,0,0,0,0,1,0,0,1,2,0,1,1,1,0,0,0,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,2,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,1,0,1,2,0,1,0,1,2,1,0,1,0,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,2,0,1,0,1,1,1,1,1,0,0,0,0,2,0,0,0,1,2,2,0,0,2,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,2,1,1,0,0,1,2,0,0,0,0,2,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,1,1,0,2,0,1,1,0,2,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,2,2,1,0,1,1,1,0,0,0,1,1,0,0,1,1,2,1,0,0,1,1,0,1,0,0,0,2,0,0,1,0,2,0,1,1,0,1,0,0,1,0,0,0,1,1,2,0,1,0,2,0,1,0,0,1,1,0,1,0,0,0,2,1,0,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,1,2,2,1,2,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,1,0,2,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,0,1,2,0,1,0,2,1,1,0,1,0,0,0,0,1,1,0,1,0,2,2,1,0,0,1,0,1,0,1,2,1,2,0,1,1,0,1,0,0,0,0,0,1,0,0,1,1,2,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,2,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1 0,0,0,1,0,1,0,0,2,0,2,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,1,0,1,1,0,1,2,0,0,1,2,1,0,1,0,0,2,2,0,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,2,0,0,1,0,1,1,1,1,0,0,1,1,0,0,2,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,2,0,1,2,0,1,2,2,0,0,0,1,1,1,0,1,0,2,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,2,0,0,1,2,1,1,0,0,1,2,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,2,0,2,0,0,0,0,0,1,1,1,0,1,0,1,1,1,0,1,0,0,1,0,2,0,0,0,0,2,0,0,1,0,0,0,2,0,1,2,1,1,0,0,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,1,2,1,0,0,1,1,0,1,1,0,2,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,2,0,0,0,0,0,1,1,1,0,0,0,2,1,1,0,1,2,0,0,1,1,1,2,0,0,0,0,1,1,1,0,0,0,1,2,0,0,0,0,0,0,1,2,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,1,1,2,1,0,0,1,0,2,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,1,0,2,2,1,1,2,1,1,2,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,2,1,2,0,1,2,2,2,1,1,0,1,1,1,0,1,1,2,1,1,0,1,0,2,0,2,1,0,1,1,0,0,2,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,2,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,2,2,0,2,0,0,1,1,0,0,0,0,0,0,0,0,2,0,1,2,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,1,2,1,1,0,1,2,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,2,1,1,2,0,1,2,0,1,0,2,1,2,2,0,0,0,0,1,2,0,2,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,2,2,0,0,1,0,0,0,0,0,2,2,0,0,1,0,2,0,0,2,0,1,0,1,1,0,1,2,0,0,0,0,2,2,1,0,2,1,0,0,1,0,0,0,0,0,0,1,1,0,2,2,0,0,0,2,0,1,1,2,2,0,0,1,2,0,1,0,1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,1,0,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,1,1,1,0,2,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,2,1,0,1,0,0,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,2,1,1,1,1,1,2,1,1,0,0,0,1,1,2,0,1,0,0,0,1,2,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,1,1,0,1,1,0,2,0,0,1,0,0,0,1,0,2,1,0,0,0,0,1,0,2,0,0,0,1,1,2,0,0,0,0,0,1,0,0,1,2,1,0,0,0,1,1,1,0,0,2,0,1,1,0,2,1,0,2,0,1,0,2,2,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,2,0,0,0,1,1,0,0,0,2,0,1,0,0,2,1,1,1,0,0,0,1,0,0,0,0,2,0,1,1,2,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,1 1,0,1,0,2,0,0,1,1,1,0,1,1,0,2,0,0,0,1,0,1,0,0,1,0,0,1,1,1,0,1,0,2,1,0,0,0,1,0,0,1,2,0,0,1,0,0,0,1,0,0,1,0,0,0,1,2,0,1,1,1,0,1,0,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,1,1,1,1,2,1,1,0,1,0,1,1,0,1,1,1,0,0,1,2,1,0,0,2,0,1,0,1,2,2,0,1,2,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,2,0,1,1,1,0,0,0,2,0,1,2,0,0,0,0,0,0,1,0,0,0,0,1,2,1,1,1,0,1,0,2,0,0,0,1,0,0,0,1,1,0,2,0,0,1,0,0,0,0,0,1,1,1,0,2,0,1,1,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,1,1,0,0,1,1,2,1,0,1,0,0,1,1,0,1,2,0,0,0,1,2,1,1,0,0,2,1,1,1,1,0,1,0,0,2,1,0,0,0,1,0,0,1,0,1,1,1,2,0,0,0,1,0,1,0,1,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,1,1,1,0,1,0,0,1,2,1,0,0,2,1,1,0,2,1,0,0,1,2,1,1,0,0,2,0,0,0,0,1,0,0,0,2,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,2,1,0,0,0,2,1,0,0,1,0,2,0,1,0,0,0,0,0,1,1,1,0,1,0,1,2,0,0,0,0,0,1,0,0,1,1,2,0,0,0,0,1,0,2,2,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,1,0,0,1,0,0,0,1,0,0,1,1,0,1,1,1,2,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,1,1,1,1,1,0,0,0,2,0,0,1,2,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,2,0,0,0,2,0,2,1,0,1,1,0,0,1,0,1,2,1,1,1,0,2,0,0,0,2,0,1,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,2,2,1,1,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,2,0,1,1,0,0,1,1,1,0,2,0,2,1,0,1,0,1,1,0,0,1,0,1,2,1,0,1,0,1,0,1,0,2,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,2,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,1,0,0,1,1,1,1,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,2,0,2,1,1,1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0,1,1,0,2,1,1,0,0,0,0,0,2,1,0,2,0,0,1,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,2,1,0,0,0,0,2,1,0,0,0,0,0,2,0,0,1,1,0,1,0,1,0,1,1,0,1,2,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,1,2,1,0,0,0,1,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,1,2,0,2,0,0,1,0,0,0,1,0,2,1,2,2,1,2,0,2,0,0,1,2,0,1,1,0,0,1,0,0,1,0,1,0,0,0,1 0,0,1,1,2,0,0,2,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,2,1,0,0,0,1,2,0,1,2,0,1,1,0,0,2,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,2,1,1,0,2,1,1,1,0,0,0,0,1,1,1,1,1,1,1,0,1,1,0,0,1,2,0,0,1,0,2,1,0,2,0,0,0,0,0,2,1,0,0,1,2,2,0,0,1,2,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,1,1,2,0,0,0,0,1,0,1,2,0,0,1,0,0,1,0,2,1,0,0,0,1,0,0,2,0,2,0,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,2,1,0,0,1,0,0,1,0,0,0,0,0,1,2,0,1,1,1,0,0,0,1,1,1,0,1,1,0,2,1,0,0,0,2,0,0,1,1,2,1,1,1,2,1,2,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0,1,1,0,0,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,2,2,0,0,0,0,0,1,2,0,0,0,0,1,2,0,0,2,1,0,1,1,2,0,0,0,0,1,0,0,0,0,1,1,1,2,0,1,0,0,0,1,1,1,2,0,0,0,1,1,1,0,0,2,1,1,0,1,0,1,1,0,1,1,1,1,1,2,0,1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,2,0,0,0,1,2,0,0,1,0,0,0,1,1,2,0,0,1,0,0,1,0,1,0,1,2,0,0,1,1,2,0,0,1,0,1,2,1,0,1,2,1,2,0,0,1,0,0,0,0,1,0,0,1,1,1,1,2,0,0,0,2,0,2,0,0,0,0,0,0,0,1,0,1,0,1,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,1,0,2,1,1,0,2,0,0,1,2,0,0,0,1,0,0,0,0,2,1,2,2,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,2,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,2,0,0,1,2,0,0,0,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,2,0,1,0,1,0,0,1,1,0,0,0,1,0,2,1,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0,2,0,0,0,0,1,0,0,0,0,1,1,1,2,0,0,2,0,0,1,1,2,0,0,1,0,0,0,0,0,0,1,2,1,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,2,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,2,0,0,0,1,0,0,2,0,1,1,1,1,0,0,0,0,0,2,0,1,0,0,1,0,2,1,1,1,1,0,1,0,2,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,2,0,0,1,0,0,1,1,1,0,2,0,2,0,2,1,1,0,0,0,0,1,1,0,0,1,1,2,0,0,1,0,0,0,1,0,0,0,0,1,1,1,2,1,0,0,0,0,2,1,1,2,1,0,0,0,0,1,1,1,0,1,0,1,2,2,0,0,0,0,2,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,2,0,0,1,1,0,0,0,0,0,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0,0,2,0,2,1,1 1,0,1,1,1,0,1,1,0,2,1,0,1,2,0,1,1,1,0,0,0,0,1,2,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,2,0,0,1,0,1,1,1,2,1,0,2,0,0,0,0,0,1,0,1,0,1,0,0,2,0,1,0,0,0,0,2,0,2,1,0,1,0,1,0,0,1,0,0,1,1,0,0,2,1,1,0,1,0,0,0,1,1,0,2,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,1,2,1,1,0,1,0,0,0,0,0,0,1,2,2,0,0,0,1,2,1,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,2,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,2,0,0,1,1,0,0,1,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,1,0,1,0,1,0,2,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,0,2,0,0,0,0,0,2,0,0,0,1,1,0,1,0,2,0,2,1,1,1,0,2,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,2,0,0,0,0,0,0,2,0,1,2,0,1,2,0,0,0,1,0,0,0,0,2,0,0,2,0,2,0,0,1,1,1,0,0,0,0,1,0,0,1,0,2,1,1,1,0,1,0,1,0,0,0,1,2,0,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,1,2,0,1,0,1,0,0,0,0,1,2,0,1,1,0,0,0,0,1,0,0,0,1,1,1,1,0,0,1,0,2,1,0,0,0,1,0,0,1,0,0,2,0,1,1,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,2,2,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,1,2,1,1,0,0,0,0,0,2,0,0,1,1,0,0,0,0,1,0,0,0,2,0,1,0,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,2,0,1,1,0,1,1,2,0,0,2,1,0,0,2,0,0,1,0,1,0,0,1,1,0,2,1,2,0,1,2,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,2,0,0,1,2,0,0,1,0,0,1,0,0,0,1,0,2,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0,2,1,1,0,1,0,0,2,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,2,1,1,0,0,0,1,0,0,0,0,0,0,0,2,0,1,0,1,0,1,0,1,0,2,0,1,2,1,0,0,0,2,1,0,1,0,0,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,2,0,0,1,0,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,2,1,1,1,1,1,0,0,1,2,0,0,0,0,0,1,0,2,2,1,2,0,0,1,0,0,0,2,0,0,0,0,1,0,2,1,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0,2,0,0,1,0,0,0,2,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,1,0,2,1,2,1,0,1,2,1,1,0,1,1,0,0,1,0,0,1,0,1,1,2,0,0,0,0,0,0,1,1,2,0,1,1,0,0,0,1,0,2,0,1,2,0,0,1,2,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,2,0,2,0,0,1,0,0,0,0,1,2,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1 1,0,2,0,0,0,1,0,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,1,2,1,0,1,1,0,2,0,1,0,0,0,1,0,0,2,0,1,1,0,0,0,1,2,1,0,1,0,1,0,2,1,1,2,0,0,1,0,0,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,2,1,1,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,1,0,2,1,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,2,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,1,1,0,0,0,1,2,1,1,0,0,2,0,2,0,1,1,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0,0,1,2,0,0,1,0,0,1,1,0,1,1,2,0,1,0,0,0,1,0,2,0,1,2,0,2,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,2,2,0,0,2,1,0,1,1,0,0,0,1,0,0,0,1,2,0,0,1,0,2,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,2,0,0,1,1,1,1,0,0,0,0,1,0,1,2,1,0,0,1,1,0,0,0,1,0,0,0,1,2,0,0,0,0,1,1,0,2,1,0,0,1,1,0,0,0,2,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,2,0,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,2,1,0,0,1,0,2,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,2,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,2,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,1,0,2,0,0,0,0,0,1,0,0,0,0,1,0,2,1,0,1,0,2,1,0,2,1,1,1,2,0,1,1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,2,0,1,0,0,0,1,1,1,0,0,0,1,0,0,1,2,1,2,1,2,0,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,2,0,0,0,0,1,0,2,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,2,1,0,0,0,1,1,1,0,0,1,0,0,2,0,0,1,0,0,1,0,0,1,0,0,0,0,0,2,1,0,0,0,0,2,0,2,1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,2,0,0,2,0,1,0,1,0,1,1,0,0,2,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0,2,0,0,0,0,0,2,1,1,1,0,2,2,0,0,0,0,1,0,0,0,0,2,0,0,1,2,1,0,1,0,1,0,1,0,1,0,2,1,1,0,0,1,0,2,1,0,0,1,2,1,1,2,0,0,1,1,0,1,1,2,0,1,0,2,0,0,2,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,0,0,2,1,0,2,0,1,0,0,0,2,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,2,0,0,0,0,2,1,1,0,1,0,1,0,0,1,0,0,0,0,1,2,0,0,0,0,0,0,1,1,2,1,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,2,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,2,1,0,0,0,1,0,2,1,0,0,0,1,0,1,0,2,0,0,1,0,0,0,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1 1,0,1,1,1,0,0,0,0,1,0,2,0,1,0,0,1,1,0,0,0,0,0,1,1,1,1,2,2,0,0,0,2,1,0,0,0,0,1,0,2,1,0,1,2,1,0,2,0,0,1,0,0,0,0,0,0,1,0,1,2,0,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0,1,2,1,0,0,1,1,0,0,0,0,1,0,2,0,0,2,0,0,1,2,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0,1,1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,2,1,0,1,0,1,0,1,0,0,1,0,0,0,0,2,0,1,1,0,0,0,0,2,1,2,0,0,2,0,0,0,1,1,0,0,0,0,2,1,0,2,0,0,2,1,1,1,1,0,1,2,0,1,0,1,0,1,0,0,0,0,1,0,2,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,2,1,0,2,1,1,0,0,0,1,0,0,1,1,0,1,0,2,1,0,0,0,0,0,0,0,1,1,1,0,0,0,2,0,1,1,0,0,0,1,2,0,0,1,0,0,1,1,1,0,1,2,1,0,2,1,0,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,2,0,2,1,0,2,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,2,2,0,1,1,0,1,1,0,1,1,0,2,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,1,1,2,0,0,0,1,1,0,1,0,0,0,2,0,1,0,1,0,0,2,1,2,1,0,2,0,2,0,0,1,1,0,0,0,1,0,0,2,0,1,0,0,0,0,1,0,2,0,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,2,0,0,0,0,1,1,1,0,1,1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,2,2,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,2,0,1,1,1,0,0,1,0,1,0,0,2,0,0,1,0,0,2,2,1,1,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,2,0,0,1,0,0,1,0,0,0,2,0,0,0,2,1,0,0,1,0,1,1,0,1,0,0,0,2,0,0,0,2,0,0,1,0,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,2,1,0,1,1,1,1,0,1,0,0,0,2,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,1,1,0,2,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0,2,0,1,2,0,0,0,0,0,2,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,2,0,0,0,1,0,0,2,1,2,0,0,1,0,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0,2,0,0,1,2,0,0,1,0,1,0,0,2,1,1,0,0,0,1,0,0,0,2,0,0,0,0,2,0,1,1,2,0,0,0,1,0,1,0,1,0,1,0,0,1,0,1,1,1,0,2,0,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,0,2,2,1,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,1,1,1,1,0,1,0,0,2,1,0,1,0,1,0,0,2,1,2,0,0,1,2,2,1,0,0,0,0,0,1,1,0,1,0,0,1,1 2,0,1,1,2,0,1,0,0,1,0,1,0,1,2,0,0,1,0,0,0,0,1,1,0,0,0,2,0,1,0,0,0,0,1,0,0,1,1,0,1,2,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,2,0,2,0,0,2,0,0,0,0,0,0,0,0,0,2,1,2,1,0,2,0,0,0,2,2,0,1,0,1,1,0,2,0,1,0,2,0,2,1,0,0,2,0,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0,2,0,1,2,1,0,0,0,1,0,2,1,0,0,1,0,0,0,2,0,0,1,0,1,0,0,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,2,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0,1,1,0,2,0,2,0,0,1,0,0,0,0,0,1,0,0,0,2,2,0,0,2,2,0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,2,1,0,0,0,0,0,1,1,2,1,1,1,2,0,0,1,0,1,0,1,1,0,0,1,0,2,1,0,1,0,1,1,1,1,0,1,0,0,1,2,1,0,1,0,0,0,2,1,0,0,0,2,1,1,0,2,0,2,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,1,2,0,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,1,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,2,0,0,1,1,0,0,2,1,0,0,1,0,0,1,0,2,0,0,0,1,0,1,1,0,0,0,1,0,2,0,2,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,2,0,2,0,1,0,1,1,1,0,1,0,0,0,0,1,2,0,0,1,0,1,0,1,1,0,2,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,1,1,0,2,0,0,0,0,0,0,2,0,0,2,0,1,0,1,0,0,1,2,0,0,0,0,0,2,0,2,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,0,2,1,0,0,0,2,1,0,0,0,0,0,1,2,1,1,0,0,2,0,2,2,0,2,1,1,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,1,0,0,2,1,0,1,0,1,0,1,0,0,2,2,0,0,1,0,1,0,1,0,0,1,0,0,2,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,2,0,0,1,1,1,1,0,0,2,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,2,2,0,0,1,0,0,0,1,0,1,0,0,2,0,1,0,2,0,0,1,1,0,2,0,1,0,1,0,1,1,1,1,0,2,0,1,1,0,1,2,0,0,1,0,1,1,2,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,2,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,2,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,2,2,0,0,2,2,1,0,0,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,2,2,0,0,1,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,2,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0,1,2,0,2,1,0,1,0,1,0,1,2,0,1,1,1,0,0,1,1,0,1,0,0,2,0,1,0,1,0,1 2,0,0,0,2,0,2,0,1,0,0,0,0,0,2,2,1,2,0,0,0,0,1,0,2,1,0,0,0,0,1,0,2,1,0,0,1,0,1,1,2,1,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,2,0,0,0,1,0,0,0,1,1,1,0,2,0,0,0,0,1,2,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0,1,0,2,2,1,1,1,0,0,2,1,1,2,1,2,0,1,1,0,2,0,0,0,0,0,1,1,0,1,1,1,1,2,0,0,0,0,1,0,1,0,1,0,0,0,2,0,1,0,0,0,1,0,2,1,0,1,0,0,0,0,0,1,1,0,1,0,0,2,1,1,1,2,0,0,1,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,2,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,1,1,0,0,0,2,0,1,0,1,0,0,1,0,1,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,2,0,0,0,0,0,1,1,0,1,0,0,1,2,0,0,1,0,0,1,0,0,2,0,1,0,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,2,1,0,0,0,0,0,0,1,1,0,1,0,1,1,2,1,1,1,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,2,0,1,0,1,0,0,0,0,1,2,0,0,0,0,2,0,1,1,2,0,0,0,1,1,1,0,0,2,0,0,0,0,0,1,2,1,2,2,1,1,0,1,2,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,2,1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,2,2,0,0,1,1,1,2,0,2,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,2,0,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1,1,0,1,0,1,1,2,0,1,1,0,1,0,1,0,2,1,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,1,0,1,1,0,0,2,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,1,2,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,0,0,0,2,1,1,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,1,0,2,1,1,0,0,0,2,1,1,2,1,0,0,0,0,1,1,0,0,2,0,1,0,0,0,1,1,0,0,1,0,1,1,0,1,1,1,1,1,0,0,2,2,0,1,0,2,1,0,1,0,0,1,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,2,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,2,1,1,2,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,2,0,1,0,0,0,0,0,0,0,1,1,2,1,2,0,0,0,2,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,1,1,0,0,2,0,1,0,1,1,0,1,0,0,0,2,1,0,2,1,0,0,1,1,1,0,1,0,0,2,2,1,1,1,0,0,0,1,1,0,0,0,0,1,0,2,1,0,1,1,2,2,0,0,0,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,1,2,1,0,0,1,0,1,0,1,2,0,1,0,0,0,0,0,1,1,1,0,1 2,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,2,2,0,1,0,0,0,1,0,2,0,1,0,2,0,1,0,1,1,0,0,1,0,0,1,2,0,2,1,0,1,0,0,1,1,2,2,0,0,0,1,1,2,1,1,0,0,1,0,1,2,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,2,1,0,0,1,1,1,1,0,2,1,0,1,1,2,0,0,0,0,0,0,0,2,0,0,0,1,1,1,2,1,0,0,0,0,1,0,2,0,1,0,1,1,0,0,2,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,2,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,1,1,1,0,2,1,0,2,0,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,1,2,0,1,0,1,0,0,1,0,0,0,1,0,2,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,2,0,1,1,1,2,0,2,0,1,0,0,0,0,2,0,1,0,0,0,0,2,2,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,0,2,1,0,0,0,0,0,1,1,0,1,1,1,0,2,0,0,1,0,0,0,1,0,0,0,1,1,1,1,1,0,2,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,1,1,1,1,0,0,1,0,0,2,0,0,0,0,2,0,0,0,1,0,1,0,0,1,1,0,1,2,1,1,1,2,2,1,1,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,0,2,0,2,1,0,1,0,1,1,1,2,0,0,0,2,1,2,2,0,0,1,0,0,0,0,0,1,0,1,2,0,0,0,1,0,1,2,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,2,0,1,1,1,1,0,0,0,0,0,0,2,1,0,1,0,0,1,0,1,2,0,2,0,1,1,0,2,1,1,1,1,2,2,1,0,0,0,1,0,1,2,0,0,0,0,1,1,1,0,0,2,2,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,1,0,1,0,0,2,0,0,0,1,0,0,2,1,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,1,2,2,0,1,0,1,0,0,0,2,0,0,1,0,0,0,1,0,2,0,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,1,2,1,0,0,1,1,0,0,0,2,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,2,0,1,0,0,1,0,1,0,0,1,1,2,1,0,0,1,2,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,2,0,1,0,0,0,1,1,1,1,1,0,1,0,2,2,1,0,1,2,0,1,0,0,1,1,1,1,2,0,1,0,1,1,0,1,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,0,1,0,0,2,0,1,0,2,0,1,0,0,0,1,0,0,1,0,1,1,2,0,1,0,2,1,0,2,0,1,0,0,2,2,1,0,0,1,0,1,0,0,0,2,0,0,2,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,2,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,2,0,1,0,0,1,0,0,2,0,0,1,0,2,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,2,0,0,1,1 0,0,1,1,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,1,2,1,0,0,1,2,0,0,0,0,0,1,0,0,1,0,1,0,1,2,0,0,0,0,0,0,0,2,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,0,2,1,0,0,1,0,0,0,1,0,0,0,1,1,2,0,0,0,0,1,1,1,1,0,1,0,0,1,0,1,1,1,0,1,1,1,2,0,1,0,0,1,0,2,0,1,1,0,0,1,1,0,0,0,0,1,1,1,0,0,1,1,1,1,2,1,0,0,1,0,2,0,2,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,2,1,0,1,0,0,0,2,0,0,2,1,1,2,2,0,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,2,0,1,1,0,0,2,0,0,1,0,1,0,0,0,1,1,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,2,0,0,1,2,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,1,1,1,0,0,1,0,2,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,1,0,0,2,0,1,0,0,0,0,2,0,2,0,0,0,0,0,0,1,0,1,0,0,1,2,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,1,2,0,0,0,1,0,0,0,1,2,1,1,1,1,1,1,2,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0,1,2,1,1,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,2,0,1,2,0,2,0,1,2,1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0,1,2,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,1,2,0,0,0,1,0,0,0,0,2,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,2,0,2,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,0,1,0,2,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,1,2,0,1,0,1,2,0,2,0,0,1,0,2,1,0,0,2,0,1,0,0,2,2,1,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,2,0,1,0,2,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,2,0,0,1,1,2,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,1,1,1,0,0,2,0,0,1,0,0,0,0,0,1,1,0,1,1,2,1,0,0,1,0,0,1,2,0,0,0,0,1,0,1,1,1,0,0,0,0,0,2,0,1,1,0,0,0,0,1,0,1,0,1,1,2,0,0,1,0,0,0,1,1,2,1,1,0,0,1,1,0,2,0,2,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,1,1,1,0,1,0,2,0,0,2,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,2,1,1,2,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,2,0,1 1,0,1,2,2,1,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0,0,2,0,1,1,0,1,0,0,2,0,0,0,0,2,2,0,2,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,2,0,1,1,0,0,0,0,0,0,0,2,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,1,0,1,1,1,0,1,0,1,2,1,0,0,1,0,0,0,2,0,1,0,2,0,0,0,0,2,2,1,0,0,1,0,1,1,2,2,0,0,0,0,2,0,0,0,1,2,0,1,0,0,0,1,2,0,0,0,0,1,0,1,0,0,2,0,0,1,0,0,0,0,1,1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,2,0,2,1,1,2,1,1,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,2,0,1,1,0,0,2,1,2,0,2,0,1,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,2,0,0,0,0,0,0,1,1,0,1,0,2,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,2,1,0,1,1,0,2,1,1,2,1,0,0,1,0,0,2,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,2,0,1,0,0,1,0,2,0,1,1,0,0,0,0,0,2,1,1,1,0,1,1,0,0,0,0,2,2,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,2,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,2,2,0,1,1,1,2,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,1,1,1,1,0,1,1,0,0,0,0,1,2,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,2,2,0,2,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,1,0,1,0,1,2,1,0,1,0,0,0,1,0,1,0,0,0,2,1,0,0,1,2,1,0,0,0,1,0,1,1,0,0,0,1,0,2,0,1,0,1,1,1,0,1,1,1,1,1,0,2,0,0,1,0,0,1,1,1,1,2,0,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,2,0,0,0,1,0,0,0,2,2,0,1,0,0,1,0,2,0,1,1,1,0,0,2,0,1,0,0,1,1,0,0,0,0,0,2,0,0,1,1,2,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,2,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,2,0,0,1,1,0,1,1,0,0,1,0,0,0,1,2,1,0,1,1,0,0,2,1,0,0,2,0,0,1,1,1,0,2,0,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,1,1,1,0,2,2,2,1,1,0,1,0,0,0,0,1,2,0,0,0,0,1,1,0,2,0,0,1,2,0,2,1,0,0,0,0,0,1,1,2,0,2,2,2,1,1,0,0,1,0,0,1,1,1,0,1,1,0,1,1,2,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,2,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,2,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,1,0,0,2,1,0,1,0,2,0,0,0,0,1,0,1,1,0,1,0,0,1,1,1,2,0,0,0,0,0,0,0,2,0,0,2,1,0,1,2,1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,2,0,0,1,1 1,0,0,2,0,0,0,1,1,1,1,1,0,0,0,0,0,0,2,0,0,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,2,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,1,1,1,0,1,1,2,0,0,2,0,0,1,0,0,2,1,2,0,0,0,0,0,2,1,0,1,2,0,0,0,0,1,0,0,2,0,2,0,0,0,0,0,0,0,1,1,2,0,0,1,0,1,0,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,1,0,2,0,1,0,0,2,0,0,1,0,0,0,2,0,0,2,0,1,0,0,2,0,0,0,2,0,0,1,0,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,2,0,1,2,0,1,0,0,0,1,1,1,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,2,2,2,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,1,2,1,0,1,1,2,0,0,0,2,1,1,2,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,1,1,1,0,1,0,1,2,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,2,0,0,0,0,1,1,1,1,1,0,1,0,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,1,0,1,1,0,1,2,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0,1,2,0,0,0,0,0,1,1,0,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,2,2,2,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,1,1,1,1,0,0,1,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,1,2,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,2,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,2,1,1,2,0,0,1,1,0,1,0,2,1,0,0,0,0,1,2,0,0,0,2,0,0,0,0,0,1,0,0,1,0,2,0,1,2,0,0,0,1,0,0,0,0,2,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,2,0,1,0,0,2,0,0,1,2,0,1,0,2,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,2,0,0,2,0,0,0,0,1,1,0,2,0,1,1,0,0,1,0,1,1,0,1,0,0,0,2,1,2,0,1,0,0,0,2,0,0,1,1,0,0,0,0,0,1,2,1,1,0,1,0,2,0,1,0,0,1,2,1,0,1,1,0,0,0,2,0,0,0,0,1,1,2,0,0,2,1,0,0,1,0,2,0,0,1,0,0,0,0,0,2,1,1,1,0,1,1,2,0,0,1,0,0,1,1,1,0,0,2,0,0,0,1,0,1,0,0,0,0,1,1,2,0,0,0,1,0,0,2,0,0,1,0,0,0,0,1,1,1,0,1 1,0,1,1,0,0,0,1,1,1,1,1,0,1,2,0,0,1,0,0,0,0,1,0,2,1,2,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,2,2,0,0,0,1,1,1,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,2,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,2,1,2,0,0,0,1,1,0,1,0,1,0,1,1,0,0,2,1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,2,1,0,0,0,0,0,2,1,2,0,0,1,0,0,2,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,2,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,1,1,0,0,2,0,0,1,0,1,0,1,0,1,0,2,1,0,1,0,0,1,1,1,0,1,1,2,0,0,0,1,0,1,1,0,1,0,2,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,2,0,1,0,0,0,2,0,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,2,0,1,0,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,2,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,2,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,1,0,2,0,0,0,1,0,0,0,2,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,2,1,1,0,0,0,1,0,2,0,0,0,1,1,1,2,0,0,0,1,2,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,2,1,0,1,0,2,0,2,1,1,2,2,0,2,0,0,1,0,0,2,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,1,2,0,2,0,0,1,1,1,2,1,0,0,0,0,1,2,0,0,1,0,0,1,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,2,0,0,0,2,0,0,1,1,1,0,0,0,1,1,0,2,0,1,1,1,0,0,0,2,0,1,0,0,1,0,0,0,0,0,1,0,1,2,0,1,0,0,1,0,2,0,0,0,0,1,2,0,0,0,1,0,1,2,0,1,1,0,1,0,0,1,2,2,0,0,1,0,1,1,0,0,2,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,2,2,1,0,0,1,0,0,0,1,0,0,0,0,2,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,2,1,1,2,0,0,0,0,0,1,2,0,2,2,1,0,0,1,0,0,0,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,1,2,2,1,0,0,2,1,0,0,1,1,2,0,1,0,0,0,2,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,2,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,2,0,0,0,1,2,0,0,1,1,0,0,0,2,0,0,0,0,0,1,2,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,2,2,0,0,1,0,1,0,1,0,0,0,0,1,2,1,0,1,0,0,0,2,1,0,0,1,0,1,0,0,0,0,2,1,1,0,1 1,0,0,2,0,0,0,1,1,0,1,2,0,0,0,1,1,1,0,0,0,0,1,0,1,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,2,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,2,1,1,1,2,2,1,1,0,0,0,0,0,0,0,0,1,0,0,2,2,1,1,0,0,1,0,0,2,0,0,1,0,1,1,0,0,0,0,1,1,0,0,1,1,2,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,1,0,2,1,0,0,1,2,0,1,1,0,1,1,0,2,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,2,1,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,1,1,1,0,2,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0,2,2,1,0,2,1,1,0,1,0,2,0,0,0,0,1,0,0,0,1,1,1,2,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,1,0,1,2,1,0,2,0,0,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0,2,1,1,0,0,0,1,1,2,1,1,0,2,1,1,0,0,0,2,0,1,1,1,0,2,1,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,2,2,0,0,0,1,0,0,1,0,1,0,0,2,2,0,1,0,0,1,0,1,0,0,1,2,1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0,1,1,0,2,0,0,1,0,1,0,0,0,1,0,1,2,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,1,0,1,1,0,2,0,2,0,2,0,0,0,1,2,0,1,1,1,0,1,0,1,0,0,2,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,2,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,1,1,2,0,0,0,1,1,0,1,0,1,2,2,0,2,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,2,0,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,0,1,1,1,2,1,1,0,0,0,0,1,0,1,0,0,2,0,0,2,0,1,2,2,1,1,0,0,1,1,2,2,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,1,2,1,0,0,0,0,0,2,0,0,2,1,0,0,0,0,0,1,1,1,2,1,1,0,2,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,2,0,2,1,1,0,0,0,0,1,1,0,2,0,0,0,0,1,1,2,1,0,0,0,0,1,1,2,0,0,0,0,0,2,0,1,0,1,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,1,2,2,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,1,0,0,2,0,0,1,0,0,1,0,1,0,0,1,2,0,0,0,0,0,1,1,0,1,0,1,2,0,0,0,1,0,1,0,0,0,1,1,1,0,0,1,2,0,1,0,2,1,0,0,2,0,2,0,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,2,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,2,2,0,0,1,1,2,0,0,0,1,2,2,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,2,0,0,1,1,1,0,0,0,2,1,0,1,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0,1,2,1,2,0,1,0,0,0,0,1,0,2,0,0,1,0,1,1,1,0,0,0,1,0,1,0,1,1,2,0,0,0,1,1,0,1,0,1 0,0,0,1,2,0,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,1,1,1,2,1,1,1,1,0,0,2,0,0,0,1,0,1,0,1,0,0,1,0,1,0,1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,2,0,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,2,0,0,1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,2,0,0,0,0,2,0,2,0,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,1,2,0,1,0,0,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,2,2,0,0,0,0,1,0,0,2,0,0,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,2,1,1,0,2,2,0,0,0,1,0,2,1,0,0,0,1,1,1,1,2,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,2,0,0,0,2,0,1,2,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0,1,1,1,0,2,0,1,1,1,0,0,0,1,2,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,2,0,1,2,0,0,0,0,1,1,0,0,0,0,0,0,1,2,1,0,1,1,0,1,2,1,2,1,1,0,0,1,0,1,1,0,0,0,1,1,2,0,1,0,0,1,0,1,0,0,0,1,1,0,0,2,0,0,0,1,1,1,0,1,1,0,2,1,0,2,1,0,1,0,2,2,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,2,1,0,1,1,1,0,0,0,2,1,0,0,0,1,0,1,0,1,0,0,1,1,1,1,2,1,2,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,1,0,0,1,2,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,2,0,0,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,2,0,2,2,0,0,0,1,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,1,0,2,0,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,1,1,0,0,2,0,1,0,0,0,2,0,1,0,2,1,1,2,0,2,1,0,0,0,0,2,0,1,1,0,0,2,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,1,0,2,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,1,1,2,0,1,1,0,2,0,1,1,1,0,0,0,0,1,0,2,1,0,1,0,0,1,2,1,0,1,0,0,2,1,1,0,0,0,1,1,0,0,0,0,1,1,0,1,1,1,2,1,0,1,0,1,0,1,0,0,0,2,0,0,1,1,0,0,0,1,1,0,1,0,2,0,1,1,0,0,1,0,2,0,1,1,1,1,1,1,1,0,1,0,1,0,0,2,1,1,0,0,0,1,0,0,0,0,2,1,1,0,1,0,2,1,0,0,0,0,0,0,1,0,1,0,0,1,2,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,2,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,1,2,1,0,2,0,0,0,0,0,1,1,0,2,1,0,0,1,1,2,1,0,1,2,0,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1 0,0,0,1,0,0,0,1,1,1,0,0,0,0,2,2,1,0,0,1,0,0,0,1,1,2,1,1,0,0,2,0,1,0,1,0,0,1,1,0,0,1,2,1,0,0,0,2,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,2,0,1,1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,2,1,1,0,1,2,1,2,1,1,0,0,0,0,0,1,0,0,1,1,2,0,1,1,0,2,1,0,0,1,0,0,1,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,1,1,1,0,0,0,1,1,0,0,1,2,1,0,0,0,1,0,0,1,1,1,2,1,0,2,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,1,0,2,1,0,0,1,1,2,1,0,0,1,1,1,0,0,1,0,0,0,0,1,2,1,1,1,2,0,0,0,1,0,1,1,1,0,0,2,0,1,0,1,0,0,1,1,0,0,0,0,0,2,0,0,1,0,0,0,0,2,1,0,1,1,2,1,0,2,0,1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,1,1,0,1,2,0,2,1,0,1,2,0,0,1,0,2,2,0,1,1,0,1,0,2,0,0,1,0,0,0,0,1,2,0,1,0,2,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,0,1,1,1,0,0,0,0,0,2,2,2,0,0,1,1,0,2,0,0,0,0,0,0,0,0,2,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,1,0,1,1,0,0,2,1,1,1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,1,0,1,1,1,1,1,0,2,0,0,2,2,1,1,0,0,0,2,0,0,1,0,1,0,1,0,1,0,0,2,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,1,0,2,0,0,0,1,0,0,0,2,0,0,0,2,0,1,0,0,0,1,2,0,1,2,1,0,0,2,0,0,1,0,2,0,0,0,0,1,1,1,0,1,1,0,0,0,0,0,0,2,0,2,0,0,1,0,1,0,2,0,0,1,0,2,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,2,1,1,1,2,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,2,1,0,1,1,0,1,0,1,2,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,2,2,1,0,0,2,0,0,1,0,0,0,0,1,2,1,0,2,1,0,1,0,2,1,0,1,0,0,2,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,1,1,2,0,1,0,0,0,0,1,1,1,2,0,1,1,0,0,0,0,0,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,2,0,1,1,0,1,0,0,2,1,2,0,1,1,1,1,1,1,1,0,0,0,2,0,1,1,0,1,1,2,0,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,2,0,2,1,2,0,0,0,0,1,2,0,1,1,2,0,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,1,1,1,2,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,1,2,0,0,0,2,0,1,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,1,0,1,0,1 2,0,0,1,2,0,2,0,0,0,1,2,0,2,0,0,0,1,0,0,1,1,0,0,2,1,0,1,1,1,2,0,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,0,1,2,2,0,1,0,1,0,0,1,1,1,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,1,0,2,1,0,1,0,0,1,0,1,2,0,0,0,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,2,0,0,1,0,2,1,0,1,1,2,0,1,0,0,2,1,0,0,0,0,0,1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,2,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,2,1,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,2,1,1,0,2,1,0,0,1,1,1,1,0,2,1,0,2,1,0,0,0,0,1,2,0,0,1,1,1,0,1,1,1,0,0,1,1,0,0,2,0,1,0,0,1,0,0,2,2,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,2,2,0,0,0,0,0,2,1,1,0,1,1,1,2,0,0,0,0,0,1,0,2,1,0,2,1,0,1,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,2,0,1,2,0,0,0,0,1,1,0,0,0,1,0,0,0,0,2,0,2,1,2,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,2,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,1,0,1,1,0,2,1,0,0,1,0,1,0,1,0,0,0,1,1,1,2,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,2,0,0,2,2,0,0,0,0,0,1,1,0,1,0,0,0,1,0,2,0,0,0,0,0,0,1,1,0,2,0,0,0,1,0,0,2,2,0,0,2,1,2,0,1,0,0,2,0,2,0,0,0,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,2,0,0,1,1,0,0,0,1,1,1,0,0,1,0,0,1,1,1,2,1,1,2,1,0,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,2,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,2,0,0,1,1,1,0,2,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,2,0,0,1,0,1,0,2,0,0,0,0,1,0,0,1,2,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,2,0,0,0,1,0,1,0,1,0,0,0,0,1,1,1,2,1,0,1,0,1,1,0,1,0,0,2,1,1,0,0,1,1,2,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,2,0,2,0,0,0,0,0,0,1,1,0,1,2,2,1,2,2,0,0,0,0,1,0,1,2,0,1,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,1,1,1,2,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,1,0,2,0,2,0,1,0,0,0,2,0,0,2,0,0,0,0,0,1,1,0,0,2,0,0,1,0,0,1,2,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,2,2,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,2,1,0,1,0,0,1,0,1,0,0,0,0,2,0,1,0,1,2,2,1,0,1,0,0,0,0,0,2,2,0,0,1 1,0,0,2,1,0,1,0,2,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,1,0,1,1,0,2,0,0,1,1,1,2,0,0,0,1,0,0,1,1,0,1,0,1,1,1,0,0,1,1,0,2,1,1,1,0,0,1,0,0,0,0,0,1,2,0,0,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,2,0,0,1,0,0,1,0,0,0,2,0,1,1,2,0,1,1,2,0,1,0,0,0,0,0,0,0,0,2,1,2,1,0,0,1,0,2,1,1,0,1,2,2,0,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,2,0,1,1,1,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,2,0,0,0,1,0,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,2,1,2,0,0,1,0,0,1,2,1,1,0,1,0,1,1,0,0,1,1,1,1,2,0,0,1,0,0,0,1,1,2,0,0,0,0,0,2,1,0,0,0,0,1,1,0,0,0,1,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,1,1,0,0,0,1,1,1,0,1,2,0,0,2,0,1,0,0,1,0,1,0,1,0,1,0,1,2,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,2,1,0,1,0,0,0,0,0,1,1,0,2,1,0,1,0,0,1,0,2,0,2,0,0,0,0,0,0,1,2,0,0,1,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,2,1,1,0,1,1,1,0,1,1,2,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,1,0,0,0,2,0,2,0,1,1,0,1,0,2,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,2,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,0,0,0,2,1,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,2,0,0,2,2,0,2,0,0,1,2,1,1,0,1,2,1,0,0,0,2,1,1,1,1,2,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,2,0,1,1,1,0,1,1,0,1,2,2,0,1,0,0,1,1,2,0,1,0,0,1,2,1,1,0,0,0,2,0,0,0,2,1,0,0,1,1,2,0,1,0,0,0,1,0,1,1,2,1,0,0,2,0,0,1,0,0,1,0,0,1,0,1,0,1,0,2,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,2,0,0,1,0,1,0,2,2,1,0,0,1,0,0,0,1,0,1,0,0,0,2,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,2,0,0,0,2,0,0,0,1,0,0,0,0,1,0,0,1,0,2,1,1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,2,1,1,1,2,0,0,1,1,1,1,0,0,2,1,0,2,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,2,0,0,1,0,0,0,1,2,1,2,0,0,0,0,1,0,1,1,0,0,0,2,0,0,0,0,2,1,0,0,2,0,1,0,1,0,1,0,0,2,2,2,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,2,1,0,0,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,2,1,1,0,1,1,0,0,2,0,0,0,1,2,0,0,1,0,0,2,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,2,0,0,2,0,1,1,0,0,0,1,2,2,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0,0,1 0,0,1,2,1,0,1,0,1,1,1,2,0,1,0,0,0,0,0,0,0,1,1,1,1,2,1,1,0,0,1,0,2,0,1,0,0,1,1,0,1,1,1,2,1,1,1,1,0,1,2,1,1,0,0,0,0,1,0,1,0,0,0,0,1,1,2,1,0,1,1,0,0,0,0,1,0,2,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,1,2,0,0,1,1,0,1,0,0,0,1,0,1,0,2,1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,2,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,2,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,2,1,0,2,1,0,0,0,0,0,0,1,1,0,0,0,2,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,2,2,0,0,1,1,1,0,0,0,1,1,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,2,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,2,0,0,0,0,2,0,0,2,1,1,1,2,0,0,0,1,0,0,0,0,0,2,0,1,1,0,0,0,0,0,1,2,0,1,0,1,1,0,0,1,0,2,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,2,0,0,0,1,2,0,0,2,1,0,0,1,0,0,1,0,0,0,0,1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,1,2,0,1,0,1,0,0,0,1,1,0,1,0,2,0,2,0,0,0,0,0,0,2,0,0,0,0,0,1,1,1,1,2,0,2,0,1,0,0,0,0,1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,2,0,0,1,0,1,1,0,0,0,1,0,0,0,1,2,0,0,0,0,1,1,1,0,1,2,0,0,0,1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,1,0,0,0,0,2,2,0,1,2,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,2,1,1,2,1,1,1,0,0,0,1,0,1,1,0,1,2,1,1,1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,2,0,1,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,1,1,0,0,1,0,2,1,2,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,2,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,2,1,2,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,1,1,1,0,1,1,1,1,0,0,1,0,2,1,1,1,1,2,0,0,1,1,1,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,1,1,0,0,0,0,2,2,1,2,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,0,2,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,2,0,1,0,1,0,0,1,1,0,0,0,1,2,0,1,1,1,0,1,2,1,1,1,0,0,2,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,2,1,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,2,0,0,1 1,0,2,0,1,0,0,1,0,1,0,0,0,2,1,0,0,0,1,0,0,0,1,0,1,1,1,1,0,1,2,0,0,0,2,0,1,0,1,1,1,0,0,2,1,0,0,1,0,0,2,0,1,0,1,0,0,0,2,1,0,0,0,0,0,1,1,1,0,1,1,1,2,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,2,1,0,0,0,1,0,0,2,0,0,0,0,0,1,1,0,1,1,2,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,2,1,2,1,0,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,2,1,1,2,0,1,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0,2,0,1,1,0,2,1,0,1,2,0,0,0,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0,2,1,0,1,0,0,0,0,0,1,1,0,0,0,2,1,0,0,0,0,2,1,1,1,0,2,1,2,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,2,0,0,2,0,2,0,0,1,0,0,1,2,0,0,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,2,0,1,2,1,2,1,1,0,1,1,1,2,0,1,0,1,0,0,1,1,1,2,0,0,2,0,0,0,0,0,1,0,0,0,0,1,1,0,1,2,1,2,0,0,0,0,1,2,0,0,0,0,2,1,0,1,1,0,0,1,0,2,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,2,0,1,0,0,0,2,0,0,0,2,1,0,1,0,1,0,2,1,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,1,0,2,1,0,1,0,1,0,1,2,2,2,0,1,0,0,2,1,1,0,2,1,1,0,2,1,0,2,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,2,1,1,0,0,1,0,2,2,0,0,2,2,1,2,1,0,1,2,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,2,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,2,2,0,0,1,0,0,1,1,0,2,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0,1,2,2,1,0,1,0,1,1,0,2,0,0,1,0,0,0,1,1,2,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,2,1,0,1,1,1,0,0,2,0,1,0,2,1,0,0,0,1,0,0,2,0,1,1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,2,2,0,1,0,0,0,1,0,0,1,1,0,0,0,1,1,1,2,0,1,1,1,0,1,1,0,2,1,0,0,0,0,1,0,1,2,0,1,0,0,0,2,1,0,1,1,1,0,0,0,1,0,0,2,2,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0,1,1,2,0,0,1,0,0,0,1,1,2,1,1,0,0,0,2,0,0,2,0,0,0,0,0,1,1,0,0,1,0,2,0,0,1,1,0,0,1,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,1,1,2,0,0,2,0,0,2,0,0,1,0,0,0,0,0,1,1,0,0,0,1,2,0,1,1,0,0,2,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1 2,0,1,1,0,1,1,1,0,1,1,0,0,2,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,1,2,0,0,1,2,0,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,1,0,2,0,1,0,2,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,2,0,0,1,0,0,1,1,0,0,1,1,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,2,0,0,1,0,0,0,2,1,1,1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0,2,1,1,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,1,2,0,2,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,2,2,0,0,0,1,2,0,0,0,0,0,1,0,0,1,2,0,0,0,1,2,1,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,2,0,1,0,0,0,1,0,0,2,0,0,1,0,0,2,0,0,0,1,0,2,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,2,0,0,1,1,1,0,1,2,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0,2,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,2,1,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,2,0,0,0,0,0,0,2,1,0,0,1,1,2,1,0,1,2,1,0,0,1,0,1,0,0,0,0,0,1,0,1,2,1,0,1,0,0,0,0,0,0,0,2,2,0,2,0,0,1,1,2,0,1,0,1,0,0,0,1,0,1,2,1,1,0,0,1,1,0,1,0,2,1,2,0,0,0,2,1,0,0,1,0,0,0,0,0,0,1,0,1,1,2,0,1,0,0,0,0,1,1,0,0,1,1,0,0,0,2,0,2,0,1,2,1,1,0,0,1,0,0,0,1,1,0,2,0,2,1,0,1,1,0,1,0,1,1,2,0,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,2,1,0,0,0,0,1,0,0,0,1,0,1,1,1,1,0,0,1,0,0,2,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,1,1,0,0,1,2,1,1,0,2,0,2,0,1,0,0,0,1,0,0,1,0,0,0,1,0,2,0,0,0,1,1,0,0,1,2,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,2,1,0,0,1,0,0,0,0,0,2,1,1,1,0,1,0,0,0,0,0,1,1,2,0,0,1,2,0,0,0,1,1,0,0,0,0,0,2,1,2,0,0,0,0,0,0,2,1,2,0,1,0,1,2,0,1,0,0,1,1,1,1,1,0,2,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,0,2,0,1,1,1,0,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,2,2,0,0,1,1,2,0,1,0,0,1,2,0,1,0,1,1,0,0,0,1,0,0,1,0,2,0,1,1,0,1,1,0,2,0,1,0,1,1,1,0,2,0,2,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,2,1,0,0,2,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,1,0,1,1,0,0,0,1,0,2,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0,1 1,0,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,1,1,0,1,2,1,0,1,0,0,0,2,1,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,2,0,0,1,0,0,1,0,1,1,2,0,0,0,0,0,1,0,0,1,0,1,1,1,1,0,0,1,1,0,0,1,0,1,1,0,2,1,1,0,1,0,1,1,1,0,1,1,1,0,1,1,2,1,1,1,1,0,0,0,0,1,0,2,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,2,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0,1,2,0,0,0,0,1,0,0,1,0,1,0,0,1,0,2,1,0,2,0,0,1,1,0,2,0,0,1,1,2,1,0,1,0,1,0,2,0,1,0,1,1,0,0,1,0,0,2,2,0,1,0,0,0,0,1,0,1,2,2,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0,2,0,1,1,2,0,0,0,0,1,0,1,1,2,0,0,1,1,1,1,0,0,0,2,0,1,0,0,0,0,2,1,0,0,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,2,1,1,1,1,1,0,2,0,0,1,0,1,0,0,2,0,0,0,0,0,1,0,1,0,1,0,0,1,0,2,0,0,1,0,1,0,0,1,0,0,1,2,1,0,1,2,0,0,2,0,2,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,2,1,1,0,0,2,0,0,0,0,0,0,0,1,1,0,2,0,2,0,1,1,2,0,1,0,0,1,0,0,0,0,2,1,0,0,2,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,1,1,1,2,0,1,0,0,0,1,2,0,1,0,0,1,1,1,0,2,2,0,0,0,0,0,1,0,0,0,1,1,1,2,2,0,0,0,0,0,1,2,0,1,1,0,1,0,0,2,1,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,2,1,0,1,1,0,0,1,0,0,0,1,0,0,2,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0,2,0,0,1,0,0,1,0,0,0,2,0,0,0,1,1,0,0,1,0,1,2,0,1,1,1,0,0,1,1,0,0,0,0,1,1,1,1,0,1,1,1,0,1,2,0,0,2,1,0,0,0,0,0,0,2,0,0,1,0,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,1,1,2,1,1,1,0,1,2,1,0,2,0,1,0,0,0,1,0,1,1,1,1,0,1,0,2,0,0,0,0,0,0,1,0,2,0,2,1,0,1,1,0,2,0,1,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,2,0,2,1,0,0,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,2,0,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,1,2,1,0,0,0,1,0,0,1,0,0,1,2,1,0,1,0,0,0,1,0,1,1,0,0,2,2,1,0,1,0,1,0,2,0,1,0,0,1,1,1,1,0,0,1,0,0,1,2,0,0,0,1,0,1,0,1,1,0,0,1,2,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0,2,1,1,0,1,1,0,0,0,0,0,0,1,0,0,2,0,0,1,1,1,0,0,2,0,0,1,0,1,2,1,0,1,0,0,1,1,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,2,0,0,1 1,0,1,0,0,0,0,0,0,0,2,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,2,1,0,1,2,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,1,0,1,0,2,0,0,0,1,1,0,2,0,0,0,1,0,1,1,0,1,1,1,0,1,1,1,0,1,2,0,0,0,0,1,0,1,0,1,0,0,0,2,1,0,0,0,0,1,1,2,0,1,2,2,1,0,1,1,1,0,2,0,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,2,0,1,1,0,0,0,0,1,2,0,1,1,1,0,1,1,0,1,0,0,1,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0,2,0,1,1,1,1,2,1,0,0,2,0,1,0,0,0,1,0,1,1,1,2,0,2,0,0,0,0,0,1,0,0,1,1,0,0,2,0,1,0,2,1,0,1,0,0,2,0,1,1,0,1,2,2,0,0,0,1,0,1,0,0,2,2,1,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,1,2,1,1,0,1,1,0,2,0,1,0,0,0,0,0,2,1,2,0,0,1,1,0,0,0,0,1,0,1,0,0,2,0,2,0,0,0,0,2,1,0,0,0,0,0,0,2,1,1,0,0,1,1,1,1,0,1,1,0,1,1,0,0,1,0,1,2,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,1,0,1,1,2,0,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,2,2,0,1,0,1,2,1,1,1,0,1,2,0,1,0,1,1,0,0,0,0,1,1,1,1,0,0,1,0,2,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,2,1,0,0,0,1,0,1,0,0,0,0,0,0,2,0,2,0,1,0,2,0,1,2,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,2,0,0,2,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,2,2,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,1,1,0,1,1,0,0,0,2,1,1,0,2,2,0,2,1,0,0,0,1,0,0,0,1,2,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,2,0,0,1,1,1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,2,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,1,1,2,1,2,0,1,0,0,1,0,2,2,0,0,1,0,1,2,1,1,0,0,1,1,2,0,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,1,1,0,2,1,1,0,0,1,0,1,0,1,0,0,0,0,2,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,2,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,2,0,0,0,2,0,0,1,1,2,0,0,0,0,0,1,1,0,0,0,1,0,1,1,1,1,1,2,1,1,0,0,1,1,1,0,1,1,1,2,1,0,0,1,0,0,1,0,0,0,1,1,1,0,0,0,2,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,1,0,2,1,1,0,0,1,0,0,0,2,0,1,1,0,0,2,0,0,0,0,2,0,0,0,0,1,1,1,0,0,0,0,2,1,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,1,0,2,0,0,1,0,0,1,2,0,0,0,0,1,1,1,2,0,0,1,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,1 1,0,1,1,0,1,0,2,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,2,1,0,1,1,0,0,0,0,0,2,0,0,0,1,0,1,0,2,0,0,0,1,0,0,1,0,1,0,0,1,0,2,2,2,1,0,2,0,1,0,1,1,1,1,0,0,0,0,2,1,2,0,0,1,0,0,0,1,0,1,0,0,1,0,2,0,1,1,1,1,0,0,0,2,0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,2,0,0,2,0,0,0,0,1,0,0,2,0,2,1,2,2,0,0,0,0,2,0,2,1,1,0,2,0,1,1,2,1,0,1,0,0,2,0,0,0,0,1,1,2,0,0,1,1,1,2,1,1,0,0,1,0,0,0,1,1,0,1,0,1,2,0,0,0,2,0,0,0,1,0,1,0,0,0,0,2,1,2,1,0,0,1,1,0,1,0,1,0,0,0,0,0,1,1,1,0,1,0,1,2,0,2,0,0,0,0,0,1,2,0,0,0,1,2,0,0,0,0,0,0,2,2,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0,1,1,1,2,0,0,0,0,0,2,0,0,1,1,0,0,2,2,0,0,0,0,0,0,0,1,0,1,1,0,2,1,2,0,1,1,0,1,1,0,1,1,1,2,2,1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0,1,2,0,1,0,0,0,1,0,2,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,2,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,1,1,2,1,1,0,0,0,0,1,2,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,1,1,2,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,2,0,0,0,0,0,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,2,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0,2,2,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,2,0,0,0,1,2,0,1,0,0,1,0,1,0,1,0,2,0,2,1,2,2,1,0,2,1,1,1,2,1,0,0,1,1,0,0,0,0,2,0,0,0,0,2,0,0,1,1,0,1,0,1,0,0,0,1,1,0,1,1,0,1,1,1,1,2,0,0,0,0,1,0,1,2,0,1,0,0,2,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,2,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,2,0,1,1,0,0,0,2,0,1,0,2,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,2,2,2,1,1,0,0,1,0,2,2,2,2,0,0,1,1,0,1,1,0,0,2,1,0,1,0,1,1,0,0,1,1,0,0,2,0,0,1,0,2,0,1,1,2,1,0,1,1,1,2,0,2,0,1,0,0,0,1,0,1,0,1,1,1,0,0,1,0,0,0,1,2,0,0,2,0,1,2,1,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,2,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,1,1,0,1,0,0,2,0,0,1,0,1,2,0,2,2,2,0,1,0,1,0,1,1,0,2,1,0,0,1,0,2,2,1,0,1 0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,2,1,0,1,0,0,2,1,0,1,0,0,0,0,0,0,0,1,1,2,1,1,0,0,0,1,0,0,1,0,0,1,0,2,0,2,1,0,0,0,1,0,0,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,1,2,2,0,0,0,2,0,2,1,0,0,1,1,2,0,2,0,0,2,0,2,0,2,0,1,0,0,1,0,0,1,0,1,1,1,0,2,0,1,1,0,0,1,0,2,1,0,1,0,1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,2,0,0,0,1,2,1,0,1,2,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,2,2,0,2,0,0,2,1,0,0,2,0,0,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,1,0,1,1,0,1,1,2,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,2,2,0,0,0,0,0,2,0,0,0,0,1,1,1,0,0,1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,2,0,0,1,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,1,1,0,0,2,0,1,1,0,0,1,1,2,1,1,2,1,1,2,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,2,0,0,2,0,1,0,0,0,1,2,0,0,2,0,1,0,1,0,0,0,0,1,0,2,0,0,1,1,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,1,0,2,1,0,0,1,0,1,0,2,0,1,2,1,1,1,0,0,0,0,2,1,1,0,0,2,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,2,0,1,1,1,0,1,0,1,1,1,0,0,2,0,0,0,1,0,0,0,2,2,0,1,0,2,1,0,1,0,1,0,1,0,0,0,2,0,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,1,2,0,2,2,1,1,0,0,1,1,0,1,1,2,1,0,0,1,0,1,1,0,2,1,0,1,0,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,1,2,1,0,0,0,0,1,0,1,0,1,0,0,0,1,1,1,0,2,0,0,1,0,1,0,2,1,1,0,2,1,0,0,1,0,1,0,1,1,1,1,1,0,2,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,2,0,0,1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,1,1,2,0,1,1,1,0,0,0,0,0,1,2,0,0,0,2,0,0,1,1,0,0,0,0,2,1,0,0,1,0,0,0,2,0,0,1,0,1,2,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,0,0,1,2,0,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,2,1,0,0,0,1,0,0,2,0,0,2,0,1,0,1,2,1,1,0,1,0,1,0,1,1,1,1,1,1,0,2,0,1,1,2,1,1 2,1,0,0,1,0,0,1,1,1,1,1,1,1,1,1,0,0,2,0,0,0,2,0,0,1,1,1,0,1,1,0,1,0,0,0,0,2,1,0,2,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,2,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,1,2,1,1,0,0,1,0,0,1,2,1,0,0,0,0,0,1,2,0,1,0,0,0,0,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,2,1,0,0,0,1,0,1,0,1,0,2,1,1,0,1,0,2,0,0,1,0,1,0,1,0,0,1,2,0,2,0,0,1,0,1,1,1,0,0,1,2,0,2,0,1,1,0,1,0,0,1,1,0,0,1,0,0,2,1,1,2,1,2,1,1,1,1,1,0,1,1,0,0,2,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,1,1,0,1,0,2,0,1,0,1,0,2,1,0,0,1,1,0,0,0,1,1,2,0,0,1,2,1,0,0,0,0,0,2,1,2,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,1,1,1,1,2,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,2,1,1,1,0,0,0,1,2,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,2,0,0,0,0,1,1,1,1,1,1,2,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,1,1,1,2,1,0,0,0,0,1,1,1,0,0,1,2,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0,1,1,1,0,0,1,1,0,0,2,1,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,1,1,0,1,0,1,0,2,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,1,1,1,0,2,1,0,0,0,2,0,0,0,1,1,2,1,0,1,0,0,1,1,2,0,1,0,2,0,0,0,0,0,0,0,2,1,1,1,2,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,2,1,0,2,0,0,1,0,1,0,0,0,1,1,0,0,0,2,0,0,0,0,1,1,0,1,0,1,0,0,1,1,0,2,0,0,1,1,0,0,1,1,0,2,0,2,1,2,0,0,0,1,0,2,0,0,1,0,0,0,2,0,1,2,1,0,0,0,2,0,0,0,1,1,0,0,0,0,1,1,2,2,0,2,2,0,1,0,1,0,1,1,0,2,1,1,1,1,0,0,0,0,0,0,0,0,1,0,2,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,1,1,1,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,2,0,1,1,0,0,2,0,0,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,2,1,0,0,0,0,0,1,2,1,0,0,0,1,2,0,1,0,0,0,1,0,1,0,1,2,1,1,1,1,1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,1,1,0,0,1 0,0,1,1,0,0,1,0,0,0,2,2,0,0,0,0,0,1,2,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,1,1,0,2,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,2,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,2,1,0,1,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,1,1,0,0,2,0,0,1,1,0,0,0,0,2,1,0,1,0,1,2,0,0,0,0,0,1,1,1,2,1,0,0,0,0,2,1,0,0,1,0,0,2,0,0,0,0,0,0,1,2,0,0,1,1,2,1,1,1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,1,0,0,2,0,0,0,0,1,0,0,0,0,0,1,1,0,1,2,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,2,1,1,1,2,2,1,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,2,0,1,0,0,1,1,1,0,0,2,0,1,1,0,1,0,0,0,0,0,1,0,2,1,0,0,1,0,0,2,1,0,0,0,1,1,1,0,0,1,2,1,0,0,0,1,1,0,0,1,0,2,1,2,0,2,0,1,0,0,1,0,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,2,1,0,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,2,1,0,1,2,0,0,0,0,0,0,2,2,2,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,2,0,0,1,0,1,0,1,0,0,1,0,1,1,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,2,0,0,1,0,1,0,0,1,1,1,0,0,2,0,0,1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,2,1,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,2,0,0,1,1,1,0,0,0,1,1,1,1,1,2,0,1,1,1,0,1,0,0,0,0,1,0,1,0,0,2,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,2,1,0,0,1,0,1,0,1,0,2,0,0,0,0,0,0,0,0,1,0,1,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,0,1,1,2,0,1,1,0,0,1,0,0,0,2,1,0,1,2,0,0,1,2,0,0,0,0,0,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,1,0,0,1,0,1,0,2,2,0,1,0,0,0,0,0,1,2,0,1,0,0,0,1,0,1,1,0,0,0,1,2,1,0,0,2,1,0,1,0,0,2,0,0,1,0,1,1,0,2,0,0,0,2,1,2,2,0,0,2,0,1,1,0,1,1,1,2,0,0,2,1,1,0,0,0,1,1,0,0,0,2,0,0,0,2,0,1,0,0,1,1 1,0,1,2,1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,2,1,0,1,1,1,0,1,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,1,1,1,0,0,2,0,0,0,0,1,0,0,0,1,0,1,0,0,2,1,0,2,1,0,0,0,0,0,2,1,1,1,1,0,2,1,0,0,1,0,2,0,0,0,1,0,0,2,2,0,0,0,1,0,1,2,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,2,1,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,2,0,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,2,0,0,1,0,1,0,0,2,0,0,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,2,0,1,0,1,1,0,0,0,0,0,2,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,1,0,1,1,0,0,0,0,0,2,1,0,0,1,0,1,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,2,1,1,2,2,1,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,2,0,1,0,0,1,2,1,1,1,1,1,0,0,0,1,0,0,2,0,0,1,0,1,2,2,0,0,1,0,0,0,0,2,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,2,2,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,2,1,0,2,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,2,0,1,2,1,2,1,1,0,1,0,1,1,1,1,0,0,2,1,0,0,2,0,0,0,0,1,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,2,0,0,1,0,2,2,0,2,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,1,1,2,1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,1,1,0,0,1,1,0,0,0,0,1,1,1,2,0,1,0,1,0,0,2,1,0,1,0,1,0,1,2,2,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,2,0,0,1,0,0,1,1,2,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,1,1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,2,0,1,1,1,0,2,1,0,1,2,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0,2,1,1,0,2,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,2,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,2,0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,2,0,0,0,1,1,0,0,1,0,1,2,2,1,1,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,1,0,1,0,2,0,0,0,0,1,0,0,0,0,0,0,2,0,0,2,0,1,0,1,0,0,0,0,1,2,0,0,2,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,1,0,1,1,0,1,0,2,1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1 1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,1,0,0,1,1,0,1,1,2,0,1,0,1,0,1,0,1,0,2,2,0,0,0,0,1,2,0,2,1,1,0,0,1,0,2,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,2,0,1,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,0,1,2,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,2,1,0,0,2,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,2,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,1,2,2,0,1,0,0,0,0,0,0,0,2,0,1,0,1,0,0,0,2,0,0,2,0,1,1,0,0,2,1,0,0,1,1,2,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,2,1,1,0,1,0,0,0,0,2,0,1,0,2,0,1,1,0,2,0,1,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,1,1,0,0,1,1,1,0,1,1,1,2,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,2,1,2,1,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,1,1,0,0,2,2,1,0,1,1,0,1,0,1,1,2,1,0,0,0,0,1,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,2,1,0,1,0,0,1,0,0,1,1,0,2,0,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0,2,2,0,1,1,1,1,0,1,1,1,1,1,0,0,0,2,0,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,2,1,0,0,0,0,1,0,0,0,0,1,0,2,1,1,1,1,1,0,0,0,1,2,2,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,2,0,0,0,1,2,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0,2,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,2,0,1,0,0,2,0,0,0,1,0,1,2,2,2,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,2,1,0,1,2,0,0,0,1,0,1,0,2,1,1,0,1,1,1,0,1,0,2,0,1,2,0,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,2,0,1,1,2,1,2,0,0,0,1,1,0,1,0,0,1,2,0,2,1,1,0,0,1,0,0,1,0,0,0,2,0,0,0,1,0,0,2,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,1,0,1,0,1,1,0,1,2,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,1,1,1,1,1,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,1,1,1,1,2,0,0,0,0,1,0,1,1,1,2,1,0,1,0,1,2,0,0,0,1,0,2,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,1,1,0,2,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,2,0,0,1,0,0,2,1,0,1,2,0,0,0,2,0,1,0,1,1,0,0,2,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0,2,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,1,0,0,2,0,0,1,0,1,1,0,1,0,0,2,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,2,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,2,1,0,2,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0,1,1 1,0,1,2,0,1,1,0,0,1,0,1,1,1,2,0,0,0,0,0,0,0,0,1,0,2,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1,2,0,2,1,1,0,1,0,0,1,0,0,0,1,0,1,0,2,1,1,0,0,1,0,2,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,2,1,1,0,0,0,0,1,1,0,1,0,2,1,0,0,0,1,2,2,0,0,0,1,1,1,1,0,0,2,2,0,0,0,0,2,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,2,2,0,0,1,0,0,0,1,0,0,1,0,1,0,1,0,2,0,1,0,0,0,1,1,0,0,2,0,0,0,1,0,2,1,0,0,1,2,1,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,1,0,0,1,1,1,0,2,0,0,1,0,0,0,1,2,1,1,0,0,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,2,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,1,1,2,1,0,0,1,0,1,1,2,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0,2,1,0,0,0,0,1,0,0,0,2,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,2,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,1,0,2,1,0,2,2,1,2,1,1,0,0,1,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,2,1,1,1,0,2,1,0,1,0,0,1,1,0,0,0,0,1,2,1,1,0,0,1,0,1,2,0,0,0,1,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,2,0,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,2,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,2,1,0,1,2,2,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,2,1,0,1,0,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,2,2,0,0,0,0,1,0,1,0,1,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,2,1,0,0,1,0,0,1,1,0,1,1,0,2,1,0,0,1,1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,2,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,2,1,0,0,0,0,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,2,0,1,0,0,1,2,0,0,0,1,0,0,1,0,2,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,1,0,1,1,1,0,1,2,0,1,1,0,0,1,0,0,2,1,2,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,2,1,1,1,1,0,0,1,0,0,1,0,1,0,1,2,0,0,1,0,1,0,1,0,0,1,0,1,1,1,1,1,0,1,1,2,0,2,1,1,1,0,0,0,0,2,1,0,1,0,0,0,0,1,1,0,2,0,1,0,1,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,2,1,0,0,1,2,0,0,1,0,1,0,1,2,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,2,1,1,0,1,0,1,1,0,1,1,2,0,1,0,2,0,0,0,0,1,0,1,0,1,0,1 1,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,1,0,1,0,1,0,1,0,2,1,0,0,0,1,0,0,0,1,0,2,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,2,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,2,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,2,1,2,0,0,1,2,1,2,1,0,2,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,2,2,0,0,1,2,0,1,0,0,0,1,1,2,1,1,0,0,0,2,1,0,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,1,1,0,1,1,0,0,0,2,2,0,1,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,2,0,2,1,0,0,1,1,2,1,0,2,0,2,0,0,0,0,1,1,0,0,0,1,0,2,0,1,0,1,0,0,0,2,0,2,1,2,1,0,0,1,2,0,2,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,2,0,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,0,0,2,0,2,0,1,2,1,1,0,2,0,0,1,1,1,2,1,0,0,1,1,0,0,1,1,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,1,2,0,0,1,0,1,0,2,0,1,0,1,0,1,2,1,0,0,0,1,1,0,2,1,0,1,0,2,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,1,0,1,0,1,1,0,1,0,1,0,1,0,2,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,2,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,2,0,1,1,1,0,1,1,1,0,0,1,1,1,2,1,0,0,1,0,2,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,2,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,2,2,0,1,1,2,1,2,0,1,0,0,1,0,1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,2,0,0,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,1,0,2,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,1,1,0,1,1,0,0,1,0,0,1,1,2,2,1,2,0,2,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,2,2,0,1,0,0,1,0,0,2,2,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,1,0,0,1,0,1,1,0,2,0,0,1,1,1,1,1,1,2,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,2,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,2,0,1,1,0,1,0,2,1,1,0,0,1,0,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1 0,0,1,1,1,1,1,1,2,1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,2,0,1,0,0,0,2,0,0,1,1,0,0,1,0,1,2,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,2,0,2,0,0,0,1,2,0,2,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1,2,1,0,0,1,0,2,0,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,2,0,0,1,1,0,0,1,0,1,1,2,0,1,0,0,1,0,1,1,2,0,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,2,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,1,0,2,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,2,0,0,0,0,0,1,1,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,2,0,2,1,2,0,0,0,0,0,1,0,1,1,1,2,0,1,1,1,0,0,1,2,0,1,1,0,1,0,0,0,1,1,0,1,0,1,0,1,2,0,0,2,0,2,0,0,1,0,1,1,1,1,0,0,2,1,1,0,0,2,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,2,0,0,2,0,1,1,1,1,1,0,1,1,1,0,0,1,1,1,0,0,2,0,0,0,0,1,2,0,0,0,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,2,1,0,0,2,1,1,0,1,1,0,0,0,2,0,0,0,0,2,0,0,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,2,0,2,0,0,2,1,0,0,0,1,1,0,0,1,0,0,0,0,2,0,1,0,1,0,0,0,0,0,1,1,0,0,0,2,2,1,1,0,1,0,1,1,0,0,0,2,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,2,0,0,1,1,2,0,1,0,0,0,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0,2,1,0,0,0,1,0,1,0,2,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,2,1,1,1,0,0,2,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,2,0,1,2,2,0,0,0,1,0,0,0,0,1,1,0,0,1,0,2,0,2,1,1,2,0,1,1,2,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,1,2,0,0,0,1,0,0,1,1,1,0,0,0,0,2,1,2,1,0,0,1,0,0,0,1,0,1,0,1,0,1,2,1,1,1,0,0,0,2,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,2,1,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,1,0,0,0,0,0,1,0,2,0,0,0,0,1,0,0,1,1,1,2,1,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,1,1,0,1,1,0,0,2,0,0,0,1,0,1,0,1,2,0,2,2,0,1,0,0,0,0,1,1,0,0,2,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,2,1,0,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,2,2,0,1,1,0,1,0,0,1,0,1,0,2,0,0,1,1,1,0,0,1,2,1,0,0,0,1,2,0,1,1,1,0,1,0,0,0,0,0,1,0,1,1,0,2,2,0,0,0,2,0,1,0,1,0,0,1,0,2,0,0,1,1,1,0,2,0,0,0,0,0,0,0,0,0,2,1,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,2,0,0,2,0,0,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0,1,1,0,2,1 1,0,0,1,0,0,0,2,2,1,1,0,0,1,2,1,0,0,0,0,1,0,1,1,2,2,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,2,0,2,0,1,1,0,1,0,1,2,0,1,0,0,0,0,0,2,0,1,1,0,0,0,1,2,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,2,1,1,0,0,1,0,0,0,1,0,0,0,2,0,1,1,0,1,1,2,1,0,2,0,0,2,0,0,1,1,0,0,0,0,0,1,2,1,1,0,0,0,0,1,0,0,0,2,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0,1,1,2,2,1,0,0,1,0,0,1,2,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,1,2,0,1,1,1,1,1,0,0,0,0,0,0,1,2,0,0,2,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,2,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,1,0,1,2,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,2,1,1,0,0,1,0,2,0,1,0,1,1,1,1,0,0,1,0,2,2,1,1,1,1,0,0,1,1,0,2,0,1,1,0,1,0,0,0,0,2,1,1,0,0,0,1,1,1,0,0,2,0,0,1,1,1,1,2,0,0,2,0,0,0,0,0,0,1,0,0,2,1,2,0,1,0,0,2,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,2,0,1,1,0,2,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,2,1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,2,0,1,0,1,0,2,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,2,2,0,0,0,0,0,1,1,0,1,2,1,0,0,0,0,2,1,0,1,1,1,1,0,2,2,1,2,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,1,2,0,0,0,1,1,0,1,1,1,0,1,0,0,0,1,0,2,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,1,1,2,1,0,0,0,1,0,0,1,1,1,1,2,1,0,2,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,2,0,1,1,0,0,0,0,2,0,0,0,0,1,1,0,1,1,0,0,0,2,1,2,0,0,0,0,1,0,0,1,2,0,1,0,0,0,1,1,0,1,0,2,2,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,1,0,2,0,0,0,1,1,0,1,1,1,0,1,0,1,0,1,1,0,1,2,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,2,0,0,1,1,0,1,0,2,0,0,1,0,0,0,0,0,2,2,0,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,2,1,1,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,2,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,2,1,1,0,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,1,2,0,1,0,0,0,0,0,1,0,0,0,0,0,2,1,2,1,0,0,1,0,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,1 1,0,0,1,0,0,0,1,1,0,2,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,2,1,0,1,0,0,1,0,0,0,1,0,0,1,1,1,1,1,1,0,0,1,1,0,2,0,0,0,0,1,2,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,2,0,0,1,2,0,0,0,0,1,1,0,1,1,0,0,1,2,0,0,0,0,1,1,0,0,0,1,1,0,0,2,1,0,0,0,1,0,1,1,0,1,0,0,0,0,2,0,0,0,0,0,2,1,0,2,0,0,1,0,0,0,0,1,0,1,1,1,0,0,2,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,2,0,0,1,0,1,0,0,1,0,0,2,0,1,2,2,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,2,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,2,2,0,0,0,1,0,0,0,0,0,0,2,0,2,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,2,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0,1,1,2,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,2,0,0,1,2,0,1,1,2,0,0,0,0,2,1,1,1,0,1,1,1,0,1,1,0,2,0,2,0,1,0,1,1,2,0,0,0,0,1,1,0,0,0,1,0,1,0,2,0,1,1,0,0,0,0,0,1,0,0,1,0,0,2,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,2,0,1,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,2,1,0,1,0,0,0,1,0,0,0,0,2,0,1,0,2,0,0,0,1,2,1,0,1,1,0,0,0,1,0,2,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,0,1,0,1,0,1,0,2,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,2,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,2,1,2,0,0,0,1,0,0,1,1,0,0,1,0,2,1,0,1,1,0,0,0,0,1,0,2,0,1,0,0,0,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,2,0,1,0,0,1,2,0,1,1,0,1,1,2,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,1,2,1,0,1,0,0,1,1,0,0,0,0,2,2,0,1,0,1,0,0,0,1,0,1,0,2,0,0,0,0,1,1,1,1,1,1,0,2,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,2,1,0,1,2,0,0,2,1,0,0,1,1,1,2,0,0,0,0,1,0,0,0,0,1,0,0,1,2,0,1,0,0,0,0,0,0,2,1,0,0,1,0,1,2,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,2,0,0,1,0,0,2,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0,1,2,0,2,1,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,2,1,1 0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,1,0,1,1,2,1,1,1,0,1,1,0,0,0,0,2,0,2,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,1,0,0,1,1,1,2,0,0,2,0,0,0,2,0,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0,2,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,1,2,0,0,1,2,0,0,1,0,1,2,0,0,2,0,0,0,0,1,0,0,1,0,0,1,1,1,2,0,0,2,1,0,1,0,1,2,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,2,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,1,2,1,0,0,0,0,1,1,2,0,1,0,1,0,0,0,0,0,0,1,1,1,1,0,0,1,2,0,0,1,2,0,0,0,2,0,0,2,1,2,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0,2,2,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,2,0,0,0,1,0,0,0,0,2,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,1,1,1,0,2,1,1,0,1,1,0,0,1,1,2,0,1,0,0,0,2,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,2,0,0,0,1,1,2,1,1,0,1,1,0,1,0,1,0,1,0,1,1,0,2,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,2,0,1,0,1,0,1,2,0,1,1,1,0,0,0,1,0,0,1,2,0,0,0,0,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,1,1,0,0,0,0,1,2,0,1,0,2,2,0,1,1,0,2,0,1,2,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,1,2,0,2,0,0,1,1,0,0,0,0,1,0,2,0,2,0,2,1,0,0,0,0,2,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,2,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0,2,0,1,1,2,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,1,2,0,0,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,2,0,0,0,1,1,1,1,0,0,1,2,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,1,1,1,1,0,0,1,2,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0,1,1,2,0,0,1,0,0,0,0,0,0,1,0,1,0,0,2,0,0,2,0,0,1,1,1,0,2,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,2,0,1,0,2,1,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,1,2,0,0,2,1,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,1,2,0,1,0,0,1,1,2,0,0,0,1,1,0,2,0,0,1,0,0,1,0,1,1,0,0,1 2,0,2,1,1,1,0,0,2,0,1,0,0,2,1,2,0,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,2,0,0,1,0,0,1,1,2,0,1,0,0,0,0,1,2,1,0,0,0,0,0,0,1,0,2,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,2,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,2,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,1,1,2,0,0,0,0,2,1,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,1,1,0,1,1,1,1,1,1,1,0,1,0,1,1,2,0,2,0,0,0,1,0,1,0,0,0,1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,2,2,0,1,1,0,2,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,2,0,0,1,0,1,1,0,1,2,2,2,0,1,0,0,1,1,1,1,0,0,2,2,1,2,0,0,0,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,1,1,0,1,0,0,0,0,0,2,0,0,1,1,1,1,1,1,2,0,0,2,1,0,2,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,1,1,0,1,0,0,2,2,1,0,0,1,1,1,0,1,0,1,0,0,1,1,2,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,2,1,0,1,0,2,2,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,1,1,0,1,0,1,0,1,2,0,1,0,2,1,0,0,0,1,1,1,0,1,0,2,0,0,0,2,0,1,1,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,1,0,2,1,1,0,2,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,2,0,1,0,0,2,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,2,0,0,2,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,1,1,2,1,0,1,0,2,1,0,1,1,0,1,0,0,0,2,0,0,2,1,1,2,1,1,0,0,1,1,0,2,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,2,0,0,2,0,0,0,0,2,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,2,2,0,1,1,0,0,2,1,1,0,0,0,2,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,2,0,2,0,0,0,0,1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,2,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,2,0,0,1,0,1,0,1,0,0,0,0,1,0,0,2,0,0,1,0,2,0,1,0,1,0,0,0,1,0,0,2,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,2,0,1,0,0,1,0,1,1,0,1,0,0,0,1,1,0,1,0,2,0,0,0,1,1,0,1,0,0,0,0,0,1,1,2,0,2,0,1,2,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,1,1,1,0,0,1,1,0,0,1,1,2,0,0,1,0,0,1,1,1,1,1,1,0,0,1,2,1,0,0,1,0,2,0,2,0,0,0,1,0,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,1 1,0,0,1,1,0,1,1,1,1,2,0,0,0,1,2,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,2,0,1,0,0,1,0,2,0,2,0,0,0,1,0,0,0,0,2,1,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,2,1,0,2,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,1,1,0,1,0,2,0,0,1,0,0,0,0,0,2,1,2,0,1,1,0,0,1,0,0,0,0,0,0,1,2,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,2,1,0,1,0,1,0,2,1,0,1,0,0,1,1,1,2,0,0,0,0,0,1,0,0,2,1,0,1,0,1,0,0,2,1,2,1,0,0,1,1,0,0,1,1,0,2,0,1,0,2,0,0,0,0,2,0,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,1,0,1,0,2,0,1,0,2,1,0,2,2,0,0,0,2,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,2,0,1,0,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,0,1,0,1,2,1,1,1,0,2,1,0,0,2,0,0,1,1,0,1,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,2,1,0,0,0,1,2,1,0,1,1,0,1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,2,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,1,2,0,2,2,0,2,0,0,2,2,0,2,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,2,0,1,1,0,0,1,0,1,2,1,0,0,2,0,1,1,0,0,0,1,0,1,0,0,2,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,1,1,1,0,0,0,1,2,0,0,0,2,1,0,2,1,0,0,0,0,0,0,2,1,2,1,1,0,0,0,0,0,1,1,0,2,0,1,0,0,0,1,0,1,1,2,0,1,0,0,0,0,1,0,1,1,1,0,1,0,2,1,0,0,0,0,0,1,1,0,0,0,1,0,1,1,1,1,1,0,1,0,1,0,1,1,1,1,0,2,0,1,0,0,0,0,2,1,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,2,0,0,0,2,0,0,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,1,0,2,0,1,0,0,0,1,0,0,2,1,0,0,0,0,2,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,2,0,1,1,0,0,0,1,1,1,0,2,0,1,0,1,0,0,0,1,0,2,1,0,1,1,0,1,0,1,0,1,1,1,2,1,2,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,1,0,0,1,2,1,0,0,0,1,2,0,0,1,1,1,1,1,0,2,1,1,0,0,1,1,0,0,0,0,1,0,2,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,1,1,2,1,0,1,1,1,2,2,0,0,0,0,0,1,1,1,1,0,1,1,2,0,0,0,2,0,0,1,1,0,0,1,0,2,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,2,0,1,0,0,2,1,0,2,2,1,1,0,0,1,0,0,1,0,2,0,0,0,0,1,1,0,1,0,1,1,0,0,2,0,0,1,0,1,1,0,1,0,1,0,2,1,0,0,0,1,0,0,1,2,0,0,1,0,1,1,0,0,0,0,2,1,1,2,1,1,0,2,2,0,1,0,1,0,2,0,0,1,1,0,2,1,0,1,1 0,0,1,2,2,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,1,1,1,0,1,0,2,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,2,1,0,0,1,0,0,2,1,1,0,0,0,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,2,0,2,1,2,1,0,0,1,0,1,0,2,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,2,0,1,1,0,0,0,1,2,0,1,0,0,0,0,1,1,0,0,0,1,0,1,2,2,0,1,0,1,0,0,2,0,0,1,0,0,0,1,1,1,0,1,1,1,2,1,0,0,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,1,1,2,0,0,2,2,0,0,0,1,1,0,0,1,0,0,2,1,0,1,0,1,1,1,0,0,1,0,1,2,1,0,1,0,0,0,0,0,2,1,0,0,0,1,1,1,0,0,2,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,1,1,1,0,2,1,2,1,0,2,2,0,0,0,0,0,0,2,0,0,0,1,1,1,0,0,2,0,0,1,0,1,1,0,0,0,1,1,0,1,1,2,0,1,1,1,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,1,2,1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,1,0,1,2,0,2,0,2,1,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,2,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,2,1,0,0,1,0,1,0,0,0,1,2,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,2,2,0,1,1,0,0,2,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,2,1,2,0,0,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,1,1,0,2,1,0,1,0,1,0,0,1,0,1,2,1,1,1,2,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0,0,2,1,0,2,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,1,1,0,0,2,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,2,0,0,0,2,0,1,2,1,0,0,1,0,1,1,2,1,1,1,2,0,1,1,1,0,2,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0,2,0,2,2,1,0,1,1,0,2,0,1,0,1,1,0,1,0,1,0,2,0,1,2,2,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,2,0,0,0,0,1,1,0,0,1,0,0,2,1,0,0,1,0,0,0,0,1,0,1,2,0,1,1,0,0,1,1,0,1,1,1,1,2,1,1,0,2,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,2,2,0,1,1,0,2,0,1,0,1,0,0,1,0,1,1,0,0,2,0,0,0,2,1,0,2,0,0,1,1,1,1,1,0,1,0,1,1,1,0,2,1,1,0,1,0,2,1,0,0,0,1,0,1,0,0,1,2,0,0,1,0,0,0,2,1,0,1,0,0,1,1,1,2,2,2,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,2,0,0,2,0,0,0,0,0,1,0,0,1,0,2,0,1,1,0,1,2,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1 1,0,1,1,1,0,1,0,0,1,0,0,2,1,1,0,0,1,1,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,2,0,0,2,2,2,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,2,0,1,2,0,2,1,1,1,0,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,2,0,0,0,1,1,0,0,0,0,0,2,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,1,2,1,0,0,1,1,2,0,1,1,2,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,1,1,1,1,0,1,1,0,0,1,2,1,0,0,0,2,0,0,2,0,1,1,1,0,0,1,0,0,2,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,1,0,2,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,2,0,1,0,2,0,0,0,0,1,2,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0,2,0,1,1,1,1,1,2,0,0,0,1,1,1,0,0,0,2,0,0,1,0,0,0,2,1,1,1,0,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,2,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,1,1,1,0,0,1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,2,2,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,2,0,1,0,1,2,1,2,0,1,0,0,2,0,0,0,0,0,0,0,2,2,0,1,1,0,0,0,2,2,0,0,1,2,1,0,0,1,0,0,0,0,0,2,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,2,1,1,0,1,1,0,2,2,0,0,0,1,0,1,0,0,0,1,0,0,0,1,2,1,0,1,0,0,0,1,0,0,0,0,1,2,2,1,0,1,2,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0,2,0,0,0,0,0,0,1,0,0,0,0,1,0,1,2,0,0,0,0,1,0,0,0,1,2,1,0,1,0,1,0,1,1,0,0,0,0,0,2,0,1,0,1,1,0,1,2,0,1,0,2,0,0,1,0,1,0,0,1,0,0,0,2,1,0,2,0,1,2,1,0,1,1,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,2,1,0,0,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,2,0,1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,1,2,1,0,1,1,1,0,1,0,2,0,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,2,1,0,1,0,1,0,0,0,0,0,1,1,1,0,1,0,1,0,2,2,0,0,0,0,0,1,0,0,2,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,2,2,0,1,1,0,1,2,0,2,0,0,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,2,0,0,0,1,0,1,1,0,0,0,0,0,1,2,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,2,1,2,2,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,2,2,1,0,1,0,0,2,0,0,1,1,0,0,0,0,1,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,2,0,0,1,0,0,0,0,0,0,0,0,1,1,2,1,0,0,2,1,0,0,0,0,0,0,0,0,0,2,0,1,0,0,1,1 1,0,0,0,0,0,0,1,0,1,2,1,0,0,0,0,0,1,1,0,0,0,1,0,2,2,1,2,0,0,1,0,0,1,2,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,2,0,0,1,2,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,2,1,2,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,0,1,1,1,0,2,0,1,0,2,1,0,0,1,1,0,0,1,0,0,2,2,2,2,0,2,1,0,1,1,1,0,1,0,0,2,0,1,0,1,0,1,1,0,2,0,2,0,0,0,0,1,0,1,0,2,1,2,0,0,0,0,0,2,0,0,1,0,0,0,1,1,0,1,0,0,2,0,1,1,0,0,0,2,0,0,0,1,1,2,0,0,1,1,1,1,1,2,0,1,0,0,1,1,0,1,1,2,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,2,0,1,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,2,2,0,0,1,1,1,1,1,0,1,0,1,0,0,2,0,0,0,0,1,1,0,1,1,0,0,1,2,2,0,0,1,0,1,2,0,2,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,2,0,0,2,0,0,0,0,0,0,1,0,0,0,1,2,1,0,0,0,0,1,1,1,1,1,0,1,0,1,0,2,0,0,1,0,0,2,0,1,0,0,2,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,1,0,1,0,0,0,2,0,0,0,2,0,1,0,1,1,0,0,1,1,1,0,2,1,1,1,0,1,1,0,0,0,1,0,1,0,1,1,2,0,2,2,1,0,0,1,0,2,0,0,0,1,1,1,1,0,1,1,0,0,0,1,2,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,2,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,2,1,0,0,1,1,0,0,2,0,1,0,0,1,1,2,0,0,1,0,0,1,0,2,1,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,1,2,0,0,0,2,0,0,1,0,0,0,1,0,2,0,1,2,0,0,0,2,0,0,0,1,2,0,0,1,0,1,0,1,0,1,2,1,1,1,0,2,1,0,0,0,1,0,0,1,1,1,1,0,2,0,1,1,1,2,0,1,0,0,0,0,2,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,2,0,0,1,1,0,0,1,0,1,2,1,0,0,0,0,0,2,0,0,1,2,0,2,1,2,0,0,0,0,0,0,1,2,2,0,0,0,0,0,2,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,1,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,2,1,0,0,0,0,0,2,0,0,2,0,1,0,0,0,2,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,2,1,1,0,0,0,1,0,0,0,1,0,0,2,1,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1 0,0,2,2,2,0,0,0,0,0,1,1,0,2,1,0,0,1,1,0,0,1,0,0,2,0,1,1,0,1,0,0,0,2,1,0,1,1,0,0,2,1,0,2,2,1,0,2,0,1,1,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,2,0,0,1,0,1,0,2,0,0,0,0,0,1,0,2,0,0,1,0,1,1,1,0,2,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,2,0,0,0,1,1,0,1,0,0,0,0,1,1,2,1,1,1,0,2,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,1,0,2,0,0,1,0,1,1,1,1,0,0,0,0,2,1,0,1,0,0,1,0,0,1,0,1,0,1,1,0,2,0,0,0,0,1,0,1,0,0,2,0,0,2,0,0,1,0,1,0,1,2,0,2,1,0,0,0,1,1,0,1,2,2,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,2,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,1,1,1,2,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,1,2,2,1,0,0,1,0,2,0,1,2,0,0,0,0,0,1,0,0,0,2,1,0,1,1,2,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,2,0,1,2,1,0,0,1,0,0,0,0,2,2,1,0,2,1,0,0,2,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,2,1,0,2,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,2,0,1,1,1,1,0,0,0,0,0,1,0,1,1,0,1,0,1,0,1,2,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,1,2,2,0,1,2,0,0,0,0,0,1,0,0,0,1,1,1,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,1,1,2,0,1,0,0,0,0,0,0,1,1,2,1,1,0,0,1,1,0,1,0,1,0,0,1,0,2,2,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,2,0,1,0,1,0,1,0,0,0,0,1,1,1,0,0,1,2,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,2,1,1,1,1,0,0,1,0,0,1,0,0,0,1,1,0,0,1,0,1,1,1,0,1,0,1,0,1,1,1,0,1,1,0,0,1,2,0,2,1,0,0,0,0,0,1,1,0,1,0,0,0,1,0,2,1,0,2,0,0,0,0,1,2,1,2,0,0,1,0,0,0,0,1,0,2,1,0,0,2,0,1,0,2,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,2,0,1,1,0,1,0,0,0,1,0,1,2,2,0,0,1,2,0,2,1,0,1,1,0,1,1,1,0,2,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,1,1,1,0,1,1,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,0,0,2,1,0,1,1,2,1,1,1,1,0,0,1,1,1,0,1,2,0,1,0,0,1,0,0,0,0,0,1,0,0,1,2,1,0,0,1,0,1,0,1,0,0,1,0,2,0,2,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,2,0,0,1,0,1,2,1,0,0,0,1,0,0,1,1,1,0,0,2,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,2,0,1,2,0,1,0,1,0,1,0,0,1,1,0,0,0,0,2,1,1,1,0,0,1,0,0,1,1,1,0,1,1,1,1,2,2,2,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,2,0,1,1 1,0,2,0,0,0,0,1,1,1,1,2,0,0,2,0,0,1,0,0,0,1,0,0,2,1,2,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,1,2,2,0,0,0,0,0,0,2,2,0,2,0,2,2,2,1,2,1,0,0,0,1,0,1,1,0,1,0,2,0,2,1,1,0,0,0,1,0,2,0,0,2,0,1,1,0,0,1,0,0,1,0,0,2,1,1,0,1,0,0,1,1,1,1,0,0,2,0,1,0,2,0,0,1,0,0,1,0,0,1,2,0,0,0,2,1,1,0,0,1,2,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,2,1,0,1,0,1,0,0,0,0,2,1,0,0,0,0,0,1,2,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,2,0,1,0,2,0,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,2,0,0,1,0,0,0,0,1,1,1,0,1,2,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,1,0,1,0,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,2,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,2,1,1,0,1,1,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,0,2,2,0,0,1,2,1,0,0,0,0,0,0,0,2,1,2,1,0,0,1,0,2,0,1,1,0,0,1,1,2,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0,1,1,1,2,0,0,0,0,0,2,0,1,0,0,0,0,1,1,0,1,0,0,1,0,1,1,1,2,0,1,0,1,0,0,0,2,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,1,2,1,0,0,1,0,2,1,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,2,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,2,0,0,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,2,1,0,0,0,0,1,2,2,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,2,1,2,0,0,1,0,1,0,2,0,0,0,0,0,0,1,0,1,0,0,0,1,2,0,0,0,0,0,0,1,1,1,0,0,0,0,0,2,1,0,0,1,2,0,0,0,0,0,1,0,0,0,2,0,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,2,0,1,0,0,0,1,1,1,0,2,1,1,0,0,2,1,0,0,0,2,2,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,2,2,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,2,1,0,1,0,2,0,1,1,1,1,0,2,0,0,0,0,1,1,1,0,1,1,0,2,0,0,2,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,2,0,1,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,2,0,0,1,0,2,0,0,0,0,1,0,1,1,0,1,1,1,0,1,0,1,2,0,1,0,0,2,0,0,1,1,1,1,1,0,0,0,1,0,2,0,0,0,0,0,2,0,0,1,0,0,0,1,0,0,0,0,0,1 0,0,0,2,1,0,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,2,0,0,0,2,2,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,2,0,2,0,1,1,0,0,0,1,1,0,1,0,0,1,0,0,2,1,0,1,1,1,0,0,0,0,0,0,1,0,2,0,0,1,1,0,0,0,1,0,2,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0,1,2,1,0,0,1,1,2,1,0,0,0,0,0,0,1,1,0,1,0,1,1,0,1,0,0,1,2,0,0,2,0,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,2,1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,2,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,0,2,0,0,2,2,0,1,0,1,2,1,0,1,0,1,0,0,1,0,0,0,0,0,1,1,2,1,1,1,0,0,0,0,1,2,1,0,1,0,2,0,1,1,0,1,0,0,0,1,1,0,0,0,2,1,0,1,1,1,0,0,1,0,0,2,1,1,0,0,0,1,2,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,2,1,1,1,0,0,0,0,1,0,0,2,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,2,0,1,0,1,1,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,2,0,0,0,0,1,1,1,1,0,1,0,1,0,2,0,2,1,0,1,0,0,2,0,1,1,2,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,0,2,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,1,0,2,0,0,0,0,1,0,1,0,2,0,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,2,0,0,2,0,0,0,0,1,0,0,2,2,0,0,1,0,1,2,0,0,0,2,1,0,1,1,0,0,0,1,1,0,0,2,0,0,0,0,0,1,0,2,1,1,0,2,0,0,1,1,2,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,1,2,0,0,0,1,2,1,0,0,1,1,2,0,0,1,0,1,0,0,1,1,0,2,1,1,1,0,0,2,1,0,0,0,1,1,1,2,0,1,0,0,0,0,0,1,0,1,1,1,0,1,0,1,1,0,0,2,0,0,0,0,1,0,1,0,1,0,2,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,2,1,1,1,2,1,1,0,1,0,0,1,0,1,1,1,1,2,0,0,0,1,0,1,0,0,0,1,0,0,2,1,2,0,0,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0,1,2,1,0,0,0,0,2,0,0,0,0,1,1,0,2,1,0,1,0,0,0,0,0,0,2,1,0,2,0,1,1,2,1,0,1,0,0,1,0,1,0,1,2,0,0,0,1,0,1,0,0,1,1,0,0,1,2,1,0,1,0,0,0,1,0,1,2,0,1,0,0,0,2,1,0,1,0,1,2,0,1,2,2,0,1,2,0,0,2,0,1,1,0,0,1,2,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,2,2,0,1,0,0,1,0,0,1,0,0,1,0,1,0,1,1,0,2,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,1,1,2,1 0,0,1,2,1,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,0,2,0,0,0,1,1,0,0,0,0,1,0,1,1,1,1,0,0,1,1,1,1,0,1,2,0,1,0,2,0,2,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,2,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,1,1,0,0,0,1,0,1,0,2,0,0,0,0,0,1,0,0,0,1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0,1,1,2,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0,1,1,1,2,0,2,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,1,0,2,0,0,0,2,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,2,2,0,0,0,1,1,1,0,1,1,0,1,2,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,2,1,1,1,0,0,1,0,1,2,0,0,1,1,0,2,1,0,1,0,0,0,0,0,2,0,1,0,1,0,1,1,0,0,0,1,1,2,0,1,2,1,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0,2,0,1,2,2,0,1,0,1,0,0,2,1,0,0,0,1,1,1,1,0,0,0,0,2,0,0,0,1,2,1,1,0,0,0,1,1,0,1,0,2,1,0,0,0,2,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,1,0,0,2,0,2,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,1,2,0,1,1,0,1,2,1,0,1,0,0,2,1,1,2,0,0,0,0,0,1,0,1,1,0,2,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,2,0,1,1,0,0,0,1,0,0,1,0,1,1,0,1,2,0,0,1,0,0,0,0,0,2,2,1,1,1,0,0,0,0,1,0,1,1,1,0,0,1,1,2,1,0,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,2,1,2,0,0,1,0,0,1,1,1,0,0,0,0,1,1,1,1,0,2,0,1,2,1,0,0,1,0,2,1,0,2,1,0,1,0,1,0,2,1,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,2,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,2,1,1,0,1,0,1,0,0,1,1,0,1,0,1,2,2,1,2,1,1,2,1,1,1,0,1,0,1,0,0,2,0,0,0,0,0,1,0,0,1,1,0,2,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,2,1,1,1,0,0,0,1,1,1,1,1,0,0,1,0,2,0,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0,2,0,0,2,0,0,2,1,1,2,1,1,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,2,0,0,0,0,2,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,2,2,0,1,0,0,1,1,2,1,1,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,1,1,0,0,1,0,1,0,1,1,2,1,0,0,0,0,1,0,0,1,2,0,0,0,0,2,0,0,0,0,0,0,0,2,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,2,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,2,0,1,2,0,1,0,0,0,0,0,0,1,1,1,0,2,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,1,0,2,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,2,1,0,1 1,0,1,2,2,0,0,2,1,0,2,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,1,0,0,1,0,1,1,2,0,2,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,2,0,1,2,0,0,1,0,0,2,0,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,2,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,2,0,1,0,1,0,0,1,0,1,2,0,1,1,0,1,1,0,0,0,1,0,0,0,0,1,2,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,2,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,2,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,2,0,1,0,0,0,2,1,0,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,1,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,1,1,2,0,0,0,0,0,1,1,2,0,0,0,1,0,1,0,0,0,1,0,1,1,1,1,1,1,1,0,1,0,0,2,0,0,1,0,0,0,0,2,2,1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,0,0,0,0,1,1,1,1,1,1,0,0,2,1,2,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0,2,0,1,1,0,0,0,0,0,2,0,0,1,1,0,1,0,2,0,0,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,2,0,1,1,0,1,0,2,0,0,2,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,2,0,2,0,1,0,0,0,0,1,0,1,2,1,1,0,0,1,1,2,0,0,0,1,1,1,0,1,0,0,2,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,2,2,0,0,1,0,1,1,1,0,0,1,1,0,0,2,1,0,1,0,0,1,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,2,0,0,0,1,2,0,0,1,0,1,0,2,2,2,1,1,0,0,1,1,0,1,0,0,2,0,0,0,0,1,0,0,1,0,0,0,0,0,1,2,1,1,1,0,0,1,1,1,0,0,1,0,1,1,0,2,0,0,0,1,1,0,1,2,1,1,1,0,0,1,0,2,0,1,1,0,0,0,0,0,1,2,1,0,0,0,0,1,0,0,2,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,2,0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,2,1,1,0,0,0,1,0,0,0,1,0,0,0,2,1,0,0,2,0,0,0,0,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,2,2,1,0,1,1,2,1,2,1,0,2,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,2,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,1,1,1,2,0,0,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,2,1,0,0,0,1,0,0,1,0,0,0,1,0,2,0,0,1,0,0,0,2,0,0,0,0,2,1,0,0,2,0,0,0,0,1,0,1,0,0,0,1,0,1,1,0,1,2,0,0,0,1,1,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,2,2,0,0,1,1,0,0,1,2,1,2,0,1,1,0,0,0,0,2,1,0,0,1 1,0,1,1,0,0,0,0,1,0,1,2,0,0,0,1,1,0,0,0,0,0,0,1,1,2,1,2,0,0,0,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,2,1,1,1,1,0,0,0,0,1,0,2,1,1,1,0,1,2,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,2,2,0,1,0,0,0,1,2,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,2,0,1,0,1,0,2,1,0,0,0,1,0,1,0,0,0,1,0,2,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,2,1,0,0,1,0,1,0,0,1,1,0,0,1,0,2,2,0,1,0,2,1,1,0,0,1,0,1,0,0,0,0,0,2,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,2,2,0,0,0,0,0,0,0,0,1,1,1,2,1,0,0,0,1,0,1,1,1,2,0,1,0,1,0,0,0,1,1,1,1,0,2,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,2,0,1,1,2,2,0,0,0,0,2,2,0,0,1,2,1,0,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0,2,2,0,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0,2,0,0,1,0,0,0,1,0,1,1,1,1,0,0,2,2,2,0,0,1,1,1,0,1,0,1,1,1,2,0,0,0,1,0,1,0,1,0,2,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,1,1,2,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0,2,2,0,0,2,1,1,1,2,1,0,2,0,1,0,2,0,0,0,0,2,0,0,1,0,0,1,0,0,0,2,0,1,0,0,1,2,0,0,1,2,1,0,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0,2,1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,2,0,2,0,0,0,0,0,0,2,1,0,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1,2,2,2,0,1,1,0,1,2,1,1,0,1,2,0,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,2,1,1,0,1,0,0,1,0,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,2,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,2,0,0,0,1,0,0,2,0,1,0,1,0,0,2,0,1,1,2,1,0,0,0,1,0,1,0,2,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,1,2,0,0,0,0,0,0,0,1,1,2,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,2,1,0,0,2,0,0,2,0,1,0,1,0,1,0,1,1,2,1,0,0,1,1,0,1,0,1,1,2,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,1,1,2,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,2,0,0,0,0,0,1,1,2,0,1,2,1,0,0,1,1,1,0,1,1,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,2,0,0,0,0,1,0,0,1,0,0,0,1,2,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,2,0,0,2,0,0,2,0,0,1,0,1,0,1,2,2,1,0,1,0,1,0,1,0,0,0,2,0,0,0,0,0,1,0,1,1 1,0,2,1,1,2,0,2,1,0,2,0,0,2,0,0,0,1,1,0,0,0,0,0,2,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,0,2,0,0,0,1,1,0,0,0,2,0,0,0,0,1,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,2,1,0,1,0,0,0,0,0,0,2,0,0,2,0,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,2,1,0,0,0,0,1,2,0,1,1,0,1,0,0,0,1,1,0,2,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,2,0,0,1,0,0,0,1,1,0,2,1,0,1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0,2,0,0,1,1,0,1,0,0,1,0,0,0,2,2,2,0,0,1,0,0,0,0,1,0,0,1,1,1,0,1,0,1,1,1,1,0,2,2,0,1,1,2,0,2,2,0,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,1,1,2,2,1,0,1,1,2,0,0,0,0,0,0,2,1,1,0,0,0,0,1,2,1,0,1,0,1,0,0,1,0,2,0,1,0,0,0,1,1,0,0,0,2,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,1,0,1,2,1,1,0,0,1,1,2,1,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,2,1,1,2,0,2,0,2,0,1,0,1,0,1,0,1,1,1,0,0,0,2,0,1,0,0,0,0,0,0,0,1,2,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,2,1,2,1,0,1,1,0,1,2,1,1,1,1,0,1,1,0,0,0,0,0,0,0,2,0,0,2,0,1,2,1,0,0,0,1,1,2,0,0,1,1,1,2,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,2,1,0,1,0,1,1,2,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,2,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,1,0,2,1,0,1,0,1,0,0,0,0,0,0,2,1,0,0,0,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,2,0,1,0,0,0,2,0,0,0,0,1,0,1,1,2,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,1,2,1,1,0,0,0,1,0,0,0,1,1,1,1,0,0,1,1,0,2,2,0,2,0,2,2,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,2,1,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,1,1,1,0,1,0,0,0,1,0,2,1,1,0,0,0,1,1,1,0,1,2,0,0,1,2,0,1,1,1,0,0,2,1,0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,1,1,2,0,1,2,0,0,2,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0,1,2,0,0,0,0,0,1,0,0,1,1,2,1,1,1,0,0,0,0,0,1,0,2,1,2,0,1,0,1,0,1,0,0,1,0,0,0,1,1,2,0,0,0,0,0,1,1,1,0,2,0,0,1,1,1,0,0,2,0,0,0,1,0,0,1,0,0,1,2,0,1,0,0,0,1,0,2,2,0,0,2,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,2,1,0,2,0,0,0,0,1,2,1,0,1,0,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,2,0,1,1 1,0,0,1,0,0,1,0,0,2,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,2,0,0,0,0,0,2,1,1,1,0,1,0,1,2,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,2,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,2,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,2,2,1,0,0,0,0,1,2,0,1,2,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,1,0,1,0,0,0,1,2,0,1,0,0,0,1,0,2,1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,2,1,0,0,0,2,0,0,0,2,1,0,1,1,1,0,0,0,2,0,1,2,1,0,1,1,0,0,0,0,1,2,1,1,0,1,0,0,0,0,1,1,0,1,1,1,0,1,2,0,0,0,1,0,1,1,1,2,2,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,2,0,0,1,2,0,0,0,0,0,2,0,0,0,0,2,0,0,0,1,1,0,0,1,1,0,1,2,0,1,1,1,0,1,1,1,1,0,0,0,2,0,0,1,1,2,2,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,1,2,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,2,0,2,1,1,2,2,1,0,1,0,1,2,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,1,0,0,1,0,0,1,1,1,0,0,2,0,2,0,0,0,0,2,1,0,0,0,1,1,1,0,2,1,2,0,0,0,0,1,1,0,0,2,0,2,0,1,0,2,1,0,1,1,1,1,0,0,2,1,2,1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0,1,0,0,0,2,0,0,0,2,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,2,0,1,1,2,1,2,1,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,2,0,0,0,1,1,0,0,1,2,1,1,2,0,2,0,0,0,0,0,1,0,1,0,0,0,2,2,1,0,1,1,0,0,2,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,2,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,2,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0,2,1,0,1,1,0,0,1,1,0,1,0,0,0,0,2,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0,2,0,2,1,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,2,1,0,2,2,1,0,0,0,0,1,0,2,0,1,0,1,0,0,1,2,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,2,0,0,0,1,0,1,0,1,1,0,2,0,1,0,0,1,1,0,2,1,0,0,1,2,0,1,0,0,1,1,0,0,0,1,1,1,1,0,1,0,2,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,2,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,2,1,1,0,0,1,1,1,1,0,0,1,0,0,0,2,1,2,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,1,0,0,2,0,1,1,2,0,0,0,2,0,2,1,2,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0,2,0,0,1,0,0,0,1,1,2,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,2,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,0,1 0,0,0,1,2,0,0,1,0,0,0,0,0,2,0,1,0,0,2,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,0,2,1,0,0,1,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,2,1,0,0,0,1,0,2,0,1,0,1,1,0,0,1,0,0,0,0,2,1,0,1,0,0,1,0,0,0,1,0,1,1,1,1,2,0,1,0,0,0,1,0,0,2,0,1,0,0,0,1,0,2,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,2,0,1,0,2,0,1,2,0,0,0,1,1,0,0,1,0,0,0,0,1,0,2,1,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,0,1,1,2,0,1,0,0,0,1,1,0,1,0,0,1,0,1,0,2,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,2,0,0,2,1,0,1,0,1,1,0,0,2,1,1,1,0,0,0,0,1,0,2,0,0,0,0,1,0,0,2,1,0,0,0,1,0,1,0,0,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,1,1,2,0,0,1,0,0,0,2,1,1,0,1,1,2,0,0,1,0,1,0,1,1,1,0,0,0,2,0,0,2,0,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,1,0,0,0,1,1,1,1,0,1,0,0,2,1,1,0,1,2,0,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0,2,0,0,1,0,0,0,0,1,1,1,1,1,2,0,2,0,0,0,1,1,0,2,1,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0,0,1,1,0,1,0,1,2,0,1,0,0,0,0,0,0,1,0,1,0,2,0,0,1,1,0,0,1,1,1,2,0,2,1,0,1,1,0,1,0,0,0,2,0,2,0,0,0,2,0,2,1,0,1,1,1,1,1,2,0,2,0,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0,2,0,0,0,0,0,1,0,0,1,2,0,0,0,1,0,0,0,1,1,1,0,0,0,2,0,1,0,0,0,0,2,0,1,2,1,0,0,2,0,0,1,0,1,0,1,0,0,0,0,2,1,0,0,1,1,0,1,2,1,2,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,2,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,2,0,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,1,2,0,0,0,0,1,0,0,0,1,0,1,1,1,0,1,1,2,0,1,0,0,0,1,2,1,1,1,2,1,0,1,1,1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,2,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,0,1,2,1,2,0,2,1,0,0,0,0,1,2,1,0,1,0,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,2,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,2,0,1,0,2,0,0,0,2,1,1,2,0,1,2,2,0,0,2,0,0,1,1,1,1,2,0,1,1,0,1,0,1,1,0,1,1,2,0,0,1,0,0,0,0,2,1,2,2,1,1,0,0,0,1,1,1,0,0,1,0,0,0,0,2,1,2,0,0,0,0,0,0,2,2,0,0,0,2,1,0,2,1,1,0,1,1,0,1,1,0,1,0,1,0,1,1,2,0,0,2,0,1,0,0,1,1,0,0,1,2,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,1,0,0,1,0,0,2,0,0,1,0,0,1,0,1,0,1,0,1,2,1,1,1,0,1,0,0,1,0,1,2,1,1,0,1,2,0,2,1,1,0,0,0,2,0,0,0,0,0,0,1,1,0,1,0,1,1 2,0,0,1,0,0,0,1,1,0,0,0,0,0,2,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,1,1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,2,1,0,1,1,0,2,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,2,1,0,2,2,1,0,0,0,0,1,0,0,2,0,0,0,1,2,1,0,0,2,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,2,0,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,1,1,2,1,0,1,0,1,1,0,2,0,0,1,1,0,0,0,0,0,0,1,0,2,1,1,1,0,1,1,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,2,0,0,1,0,0,0,0,1,0,1,0,2,0,2,1,1,0,0,0,1,0,2,2,0,1,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,2,1,0,0,0,1,0,2,0,0,0,0,1,0,2,0,0,0,0,0,1,0,2,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,1,1,0,0,0,1,2,0,1,0,0,1,1,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,1,1,2,0,0,1,1,1,2,1,1,1,0,1,0,1,0,0,0,2,0,0,1,1,1,1,0,1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,2,0,1,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,2,1,0,2,0,0,1,1,0,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,0,2,0,1,0,0,0,0,0,1,2,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,2,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,2,0,1,0,2,1,2,0,0,1,1,1,0,1,0,1,0,0,2,0,1,0,2,0,2,1,0,0,0,0,0,1,1,2,0,0,0,0,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,2,0,1,0,0,1,0,1,0,2,1,0,0,0,0,2,0,0,0,0,0,1,2,2,0,2,1,0,1,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,2,2,1,0,0,0,1,1,0,0,0,2,1,0,0,1,0,1,0,2,0,0,2,0,1,1,0,1,0,2,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,1,1,1,0,2,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,1,2,1,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,2,0,0,1,1,1,1,0,1,0,1,0,1,2,1,2,2,0,1,0,1,1,1,0,0,0,1,1,2,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,1,0,2,1,0,0,0,0,2,0,2,0,2,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,2,0,1,1,0,1,0,0,2,2,0,1,1,1,0,0,0,0,1,1,0,0,2,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,2,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,2,0,1,1,0,0,1,1,0,0,0,0,1,2,1,1,0,1 1,0,1,0,1,0,0,1,0,1,0,0,0,1,1,1,0,1,2,0,0,0,1,0,0,2,1,0,0,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0,1,2,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,1,1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,2,0,1,0,0,0,2,1,0,0,0,2,0,0,0,0,1,2,0,2,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,2,0,0,0,0,2,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,0,0,1,0,0,2,0,0,0,2,0,0,0,0,1,0,0,2,0,0,1,0,0,0,1,0,1,0,1,1,2,0,1,1,1,0,1,1,0,0,0,0,1,1,0,1,2,1,0,0,0,0,1,1,0,0,0,1,0,2,1,0,1,0,0,0,1,1,0,0,0,2,0,2,0,0,0,0,0,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,2,0,0,2,1,0,1,1,1,0,0,1,1,0,2,0,0,0,0,0,0,2,1,0,0,1,1,0,1,0,0,0,0,1,1,2,0,1,0,1,0,0,0,0,0,1,0,2,0,0,0,2,0,1,2,0,0,2,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,1,1,0,1,2,0,1,1,1,0,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,2,2,1,1,0,0,0,0,1,2,1,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,1,0,1,2,1,0,2,0,1,0,0,1,1,1,2,1,0,1,0,0,2,0,0,0,0,2,1,1,0,0,1,0,1,0,0,0,1,2,1,0,2,1,1,0,1,0,2,0,0,1,1,1,0,2,0,0,0,0,0,0,0,1,0,0,1,1,0,2,0,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,2,0,0,1,0,2,1,0,0,1,1,2,1,1,0,1,0,1,2,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,1,2,2,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0,1,2,0,1,0,0,1,0,0,2,1,0,1,0,0,0,0,0,2,1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,2,0,1,1,0,2,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,2,0,0,2,0,0,0,0,1,2,2,0,1,0,1,1,0,0,1,2,1,0,1,2,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,2,0,0,0,0,1,0,0,0,0,2,0,2,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1,0,0,2,1,0,1,0,0,0,1,2,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,1,0,0,0,2,0,0,2,0,0,0,1,1,1,0,1,0,1,2,1,1,0,0,1,1,1,0,2,0,0,1,0,0,0,2,0,0,2,0,0,0,2,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,2,0,0,1,0,1,0,0,0,0,1,1,2,0,2,1,0,1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,2,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,2,0,2,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,2,0,0,1,1,0,0,1,1,0,2,1,1,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,2,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1,1 1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,2,1,1,1,0,1,2,0,1,0,0,0,0,1,0,0,1,0,2,0,0,1,0,0,0,0,1,1,1,1,1,2,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,2,0,2,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,2,0,0,0,0,0,2,0,1,1,1,0,1,0,2,0,0,2,1,2,1,2,0,0,1,1,2,1,1,0,0,1,0,1,0,2,2,0,0,0,0,2,0,0,1,0,0,1,0,0,1,2,0,1,0,0,0,1,1,0,1,1,2,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,2,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0,2,0,0,0,1,1,2,0,1,0,1,0,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0,1,1,2,1,0,2,1,2,0,1,0,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,1,1,1,0,1,0,2,1,0,0,0,0,0,0,2,2,2,0,0,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,1,0,1,0,2,1,1,0,1,0,0,1,0,1,0,1,2,0,1,0,0,0,1,0,0,0,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,1,1,1,0,0,1,2,1,0,2,2,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,2,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,2,2,2,0,1,0,2,1,1,0,0,0,0,0,0,1,0,0,1,1,0,1,1,2,1,0,1,0,1,1,0,0,0,0,0,0,2,2,2,0,0,0,0,1,0,0,1,0,2,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,2,0,0,2,0,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,2,0,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,1,0,1,1,1,0,2,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,2,2,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,1,0,1,1,1,1,1,1,2,1,0,1,1,1,2,0,0,1,0,0,0,0,0,1,1,0,1,1,1,1,0,2,1,0,1,2,1,0,0,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,2,1,1,0,2,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,2,0,1,0,0,0,0,1,0,1,1,1,0,1,1,0,1,0,1,1,1,1,2,1,0,0,0,0,2,2,0,2,1,1,0,0,2,0,0,2,1,0,1,0,0,1,1,0,0,0,1,0,1,2,0,0,0,0,0,1,0,1,1,1,1,0,0,1,2,0,1,0,0,0,1,0,0,0,0,2,1,0,2,1,2,1,0,0,0,0,1,1,2,0,1,0,0,0,0,0,2,2,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0,2,1,1,0,1,0,0,0,1,1,0,1,0,2,2,2,1,0,1,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,2,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,2,0,1,1,1,0,0,1,0,1,1,1,2,0,0,1,1,1,1,1,0,2,1,1,2,0,0,1,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,1 2,0,1,1,0,0,0,0,1,2,0,1,0,0,1,1,0,1,2,0,0,1,0,0,2,0,0,0,0,1,1,0,1,2,0,0,1,0,0,1,2,1,0,2,1,0,0,1,1,1,2,0,0,0,1,0,1,2,1,1,1,0,0,0,0,0,0,1,2,0,1,0,1,2,1,0,1,1,0,1,0,0,2,1,0,1,0,1,2,0,0,1,0,1,0,0,0,0,1,0,1,2,0,2,2,1,0,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,2,0,0,0,1,0,1,1,0,0,0,2,0,0,2,0,0,1,0,0,0,1,0,0,1,1,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,2,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,0,2,1,1,1,0,2,0,1,1,0,0,0,1,1,2,1,0,0,0,0,0,0,0,1,1,0,0,0,1,2,1,1,1,2,1,1,1,0,0,1,1,1,0,1,1,0,1,2,0,0,0,0,0,0,1,0,2,2,1,2,0,1,1,0,1,0,2,1,0,0,2,0,1,1,0,0,1,0,0,2,2,0,0,0,0,2,0,0,1,0,0,0,1,0,0,0,1,0,1,0,2,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,2,0,1,0,0,1,0,0,2,0,0,0,0,2,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,2,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,1,2,0,1,1,1,0,2,2,2,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,1,1,1,0,1,1,1,0,0,0,2,0,0,2,1,0,1,0,1,2,0,1,0,1,0,1,1,0,0,1,2,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,1,0,2,0,0,0,0,1,0,1,0,1,0,0,2,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,2,2,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,2,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0,1,1,2,0,2,1,0,1,0,0,0,1,2,1,0,0,0,0,1,0,0,1,1,2,1,1,0,2,1,1,0,2,0,0,0,1,1,0,2,0,1,0,1,1,2,0,0,1,1,1,0,0,0,0,1,0,1,0,1,0,2,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,2,0,0,0,0,0,0,1,1,0,0,0,2,1,1,1,1,0,1,0,0,0,2,0,0,1,1,0,1,2,1,0,1,2,1,1,0,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,0,0,2,0,0,1,2,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,0,1,0,1,1,2,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0,0,1,1,0,1,2,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,2,0,0,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,2,2,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,2,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,1,1,0,1,2,0,0,0,0,2,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1 0,0,2,2,0,0,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0,1,2,0,1,0,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,1,2,0,1,0,1,0,2,0,2,0,0,1,0,0,1,2,1,1,1,0,1,0,2,2,0,0,0,1,1,0,2,0,0,1,1,0,1,1,0,0,1,1,1,1,0,0,0,1,1,2,1,1,0,0,1,0,0,1,0,2,0,1,0,1,0,1,0,2,1,1,2,1,1,0,1,2,1,0,1,0,0,0,1,1,2,0,1,2,0,0,0,0,0,0,0,2,0,1,2,0,0,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,1,2,1,1,0,0,1,2,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,2,1,0,0,0,0,0,1,1,0,0,0,2,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,2,2,1,2,0,0,1,0,1,1,1,1,1,1,0,0,0,2,1,1,0,1,0,0,0,1,0,2,1,1,0,0,2,0,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,2,2,1,1,1,1,0,0,2,0,1,1,1,0,2,1,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,2,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,2,0,0,0,1,0,0,2,0,0,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,2,0,0,1,2,0,2,0,0,0,1,0,0,1,1,0,2,0,0,1,0,0,1,0,0,0,1,0,0,0,0,2,0,2,0,2,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,0,0,1,2,0,1,0,0,1,0,1,2,0,0,0,0,1,0,0,2,0,0,0,0,0,2,2,1,0,0,1,0,1,0,0,0,1,2,1,2,1,0,0,0,0,0,0,1,0,1,0,0,1,2,2,1,0,0,2,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,2,0,0,0,0,1,1,1,1,2,0,0,0,1,2,1,1,0,2,1,2,0,1,1,0,2,1,0,0,0,1,1,1,1,0,0,0,0,0,0,2,1,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0,0,2,1,0,0,1,0,0,2,1,2,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,1,0,2,0,2,1,2,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,2,0,0,2,0,1,0,0,1,1,1,1,2,0,1,0,0,1,1,2,1,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,2,0,0,0,2,0,0,0,1,0,0,0,1,0,0,2,1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,1,0,1,0,1,0,2,0,0,0,2,0,0,2,1,0,0,1,1,2,1,1,0,1,1,0,0,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,2,1,0,1,0,1,0,1,0,1,1,0,2,0,1,0,0,0,1,1,0,0,0,1,2,0,2,0,0,2,0,1,1,1,0,2,0,0,0,1,2,2,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1 2,0,1,2,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,2,0,1,2,0,0,1,0,2,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,2,2,1,0,1,0,0,0,1,0,0,2,0,0,1,0,0,0,0,2,1,1,0,1,0,0,0,2,1,1,0,1,0,0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,2,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,2,1,1,2,1,0,2,1,0,1,1,1,1,0,0,2,2,0,1,0,0,2,0,0,1,2,2,1,1,1,0,2,0,0,1,0,0,0,0,1,0,0,2,0,0,0,0,1,0,1,1,0,2,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,2,0,0,1,2,1,2,0,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,2,0,0,1,0,0,2,0,1,0,0,0,0,0,1,1,0,0,1,2,0,0,2,2,0,0,1,1,2,0,0,1,2,1,1,1,0,1,1,0,0,0,2,0,0,0,0,0,0,1,0,2,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0,2,0,1,1,0,2,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,2,0,0,1,0,1,0,2,1,1,1,0,0,1,0,1,0,1,1,2,0,1,0,2,0,1,0,1,1,0,0,1,0,2,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,2,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,1,2,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0,2,2,2,0,0,1,1,0,1,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,2,1,0,1,0,1,0,0,1,0,1,0,0,0,1,0,0,1,0,2,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,1,0,0,1,1,0,1,0,1,0,1,1,1,2,1,0,0,0,2,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,2,0,0,0,0,1,1,1,1,1,1,2,0,0,0,2,1,2,0,2,2,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,2,2,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,2,2,0,0,0,1,0,0,0,0,1,1,2,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,2,0,0,0,0,0,1,1,0,0,0,1,2,0,1,0,1,0,0,0,0,0,2,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,1,2,0,1,0,0,1,1,2,1,2,1,1,0,2,2,0,1,0,0,1,2,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,2,1,1,0,0,1,0,0,0,2,0,0,0,0,1,0,1,1,0,0,0,0,2,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0,2,1,0,0,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0,2,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,1,0,1,1,2,1,1,0,0,0,2,0,1,2,0,0,0,2,0,1,1,0,0,0,0,0,0,0,0,2,0,2,1 0,0,1,1,1,0,2,2,1,0,1,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,2,1,1,0,1,0,0,0,0,0,2,0,0,0,1,1,0,2,0,1,0,1,0,1,2,0,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0,2,0,0,2,0,0,1,1,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,2,1,0,0,1,1,1,1,2,0,0,0,0,1,1,2,0,0,1,1,1,1,0,1,0,0,0,1,1,2,0,1,1,0,0,0,0,1,0,0,1,1,1,1,0,1,1,0,2,0,1,0,0,1,1,0,1,0,0,0,2,0,2,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,1,1,1,0,0,1,1,0,2,0,2,0,0,1,0,0,1,0,0,0,0,2,1,0,0,0,1,1,0,0,1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0,2,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,2,1,1,0,0,0,1,0,1,0,0,0,0,2,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,1,1,0,0,1,0,2,1,0,0,0,1,0,0,0,0,2,0,0,1,0,2,0,0,1,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,2,1,2,1,0,2,1,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,0,2,0,0,1,1,0,0,1,1,0,2,0,1,2,1,1,0,1,2,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,2,1,0,2,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,2,2,1,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,2,2,0,0,0,1,2,0,1,1,0,0,1,2,0,0,0,0,0,0,0,2,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,2,2,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0,1,1,1,0,1,1,1,2,0,2,1,1,0,1,0,2,2,0,2,2,1,2,1,0,2,1,1,1,0,0,0,2,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,0,1,2,1,0,1,1,1,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,2,0,1,1,1,1,1,1,1,1,0,0,0,0,2,1,0,1,0,0,2,0,0,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,1,2,0,0,0,0,1,1,1,1,1,2,1,0,0,1,0,0,0,0,1,1,1,0,0,1,1,2,0,2,0,1,0,1,0,0,0,0,0,1,0,2,1,0,0,2,0,0,2,0,0,1,0,0,1,0,2,0,0,0,0,1,0,0,1,1,1,0,2,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,1,1,2,0,2,0,0,0,0,2,1,1,0,0,0,0,0,0,0,1,0,1,1,2,0,0,0,0,2,0,1,0,1,1,1,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,1,1,1,1,1,1,1,1,0,0,2,0,0,1,1,2,2,1,0,0,0,1,1,0,0,0,0,0,0,0,2,2,0,0,1,0,1,0,1,0,1,0,0,2,2,0,0,0,0,1,0,0,2,1,0,1,0,0,1,1,1,1,1,0,0,0,0,1,2,0,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,1,2,0,0,2,0,0,1,0,0,0,0,0,2,0,0,1,0,2,1,1,0,0,1,2,0,0,2,0,0,1,0,0,0,0,0,1,1,0,1 1,0,2,1,2,0,1,1,0,1,0,2,0,0,2,0,0,0,0,0,0,0,1,1,0,0,1,2,0,0,1,0,1,0,0,0,1,1,1,1,1,2,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,2,0,0,0,1,0,0,1,0,1,2,1,2,1,0,2,1,1,1,1,0,0,0,0,0,1,1,0,0,0,2,0,1,1,1,0,2,1,0,0,2,0,0,1,0,1,1,0,0,0,0,1,2,1,0,1,1,1,0,0,2,0,0,0,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,2,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,0,1,0,0,1,0,1,2,0,0,0,0,0,1,0,1,2,1,0,0,0,2,0,0,1,0,1,0,0,1,2,2,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,2,1,0,0,1,0,0,1,0,0,2,1,1,1,0,0,0,0,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,1,1,2,1,0,0,0,1,1,0,1,2,2,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,2,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0,1,1,2,0,0,1,1,0,0,1,1,0,0,0,2,2,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,2,0,1,2,1,1,1,0,0,0,1,1,0,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,2,1,0,0,2,0,1,1,1,2,0,2,2,0,0,1,2,1,1,0,0,0,0,1,1,0,2,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,2,1,0,0,0,1,0,1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,0,1,0,0,1,2,2,0,1,0,0,0,0,0,2,0,0,1,1,0,1,0,1,1,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,1,1,2,1,0,1,1,0,0,0,2,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,1,1,0,0,2,0,0,1,0,1,1,1,1,1,1,0,2,0,0,1,2,1,1,1,0,0,1,0,0,0,0,0,1,1,1,1,2,0,0,1,1,0,1,0,1,1,0,2,1,0,1,1,1,1,1,1,0,1,0,1,0,0,1,2,0,2,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,1,2,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,1,2,1,1,1,1,2,0,1,0,2,0,0,1,0,0,0,1,2,0,1,1,0,0,0,0,0,1,2,0,1,1,1,2,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,2,0,0,2,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,2,1,1,0,1,1,1,2,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,2,0,0,1,2,0,1,1,1,1,0,1,2,2,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,2,0,0,1,1,1,2,0,0,0,1,1,0,1,0,1,2,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,2,0,0,1,1,0,0,0,2,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,2,0,0,1,0,1,0,1,0,1 2,0,0,1,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0,1,2,0,2,1,1,1,0,0,0,0,1,0,0,0,1,1,0,0,1,2,1,2,1,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,1,0,0,1,0,1,0,0,1,2,1,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,1,1,0,1,2,0,1,2,1,0,1,2,1,0,1,2,1,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,2,1,2,0,1,2,0,0,0,0,1,0,2,0,1,2,2,0,1,0,0,0,0,2,1,0,0,0,0,0,0,1,2,1,0,0,1,1,2,0,0,1,0,0,0,0,1,0,0,0,1,2,0,0,0,0,2,0,0,0,0,0,0,1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,2,0,0,0,0,1,1,0,0,0,1,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,1,2,0,1,0,2,1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,1,2,1,2,0,0,1,1,0,1,2,1,0,1,0,0,2,0,1,0,0,0,0,0,1,0,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,0,1,0,2,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,1,2,2,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,1,2,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,2,0,0,1,0,0,0,1,2,0,1,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,2,0,2,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,2,0,0,1,1,1,0,0,1,0,0,0,0,2,1,0,1,0,0,1,0,0,0,0,0,1,2,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,2,1,1,2,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,2,0,1,0,0,0,1,2,1,0,1,0,0,1,1,0,0,2,0,2,1,0,0,2,2,1,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,1,1,2,1,1,0,0,1,0,1,0,0,0,0,1,2,0,0,0,2,0,0,0,0,0,2,2,0,1,0,1,1,1,2,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,2,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,2,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,2,1,2,2,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,1,0,1,0,2,0,0,1,0,1,0,0,0,0,0,1,0,1,1,1,1,1,2,0,2,1,1,0,1,0,1,1,1,0,0,0,1,2,1,0,0,0,0,1,2,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,2,1,0,1,0,0,1,2,1,0,2,1,0,0,0,1,0,0,1,0,0,0,0,0,1,2,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,2,1,0,1,1,0,0,0,0,2,0,0,0,2,0,1,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,2,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,2,0,0,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,2,0,0,1,0,1,1,0,0,1 0,0,2,0,0,1,1,1,2,1,0,2,0,2,2,0,0,2,0,0,0,1,0,2,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,2,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,1,2,0,1,0,0,1,0,1,0,1,0,0,0,0,0,2,1,1,2,0,0,0,2,0,0,0,1,1,0,0,0,0,0,2,0,0,2,1,1,1,1,0,0,0,0,1,1,2,0,1,1,1,0,2,1,2,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,2,0,0,0,1,0,2,0,0,1,2,0,1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,0,1,0,1,1,2,1,0,1,0,0,1,1,0,1,2,1,0,2,0,0,0,1,0,0,0,1,0,0,0,1,0,1,2,1,0,0,0,1,0,0,0,1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,2,0,1,1,1,1,0,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,2,0,0,1,0,0,1,2,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,2,1,0,0,1,0,1,2,0,0,1,1,0,1,0,0,0,1,0,0,1,2,0,1,0,1,1,2,0,1,0,0,1,0,1,0,0,0,0,1,1,2,1,2,2,0,0,0,1,0,1,0,0,2,1,1,0,0,0,1,2,0,1,1,0,2,1,0,0,1,0,0,0,1,2,1,0,0,1,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,2,1,0,0,1,0,1,1,1,0,0,2,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,1,1,2,1,1,0,1,0,1,0,0,1,2,0,1,0,0,2,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,1,1,1,0,1,0,1,1,2,0,0,0,0,1,0,1,1,1,0,2,2,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,2,0,0,1,1,0,1,0,2,0,1,1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,2,1,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,0,0,0,1,1,0,0,1,0,2,1,0,0,1,2,1,0,1,0,1,1,0,0,0,1,0,2,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,2,0,2,1,2,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,1,2,0,0,0,0,0,1,0,1,0,2,0,0,0,1,1,1,1,0,1,0,2,1,0,0,1,0,0,0,2,0,1,1,0,1,2,0,1,0,0,0,2,2,1,1,0,0,0,1,0,2,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,2,1,1,1,0,2,1,1,0,1,0,1,0,0,0,1,1,2,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,2,1,0,2,1,0,0,0,0,1,2,2,2,0,1,0,1,0,0,1,2,0,0,0,0,1,1,0,0,0,1,0,0,0,2,0,0,0,1,0,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,1,1,1,0,0,1,1,1,1,0,1,1,1,2,0,1,2,0,0,1,1,0,0,2,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,2,0,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,2,0,0,0,0,0,2,0,1,0,0,0,0,0,1,2,1,1,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,1,0,2,2,1,1,0,0,0,0,1,2,1,1,1,0,2,0,1,1,0,0,1,0,2,2,0,2,1,0,0,0,0,0,0,0,0,1,1,0,1 1,0,1,1,2,0,2,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,2,1,0,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,2,1,0,0,2,1,0,0,0,0,1,0,1,2,0,0,1,0,0,0,1,0,0,0,0,1,2,0,1,0,0,2,0,2,0,1,0,1,0,0,1,1,0,0,0,2,0,1,0,2,0,1,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,1,2,1,1,0,0,0,1,1,0,1,2,0,0,0,0,1,0,0,2,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,2,1,1,1,2,0,0,0,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,2,0,0,2,0,2,0,0,1,1,0,0,0,0,1,1,0,2,1,0,2,0,2,0,1,0,1,0,0,2,1,1,0,0,0,0,0,1,0,1,2,1,1,0,0,0,0,1,0,0,0,1,0,0,1,1,1,2,0,2,1,0,0,0,1,0,0,0,1,2,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,2,1,2,0,2,1,1,0,0,1,2,1,1,1,0,1,1,2,2,1,1,0,0,0,0,0,0,0,2,0,0,0,1,1,1,0,0,1,0,1,0,1,1,0,1,1,1,2,0,1,0,0,1,2,1,0,0,1,1,0,0,1,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0,1,1,0,2,0,0,0,1,2,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,0,2,1,0,2,0,2,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,2,0,0,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,1,0,0,0,1,1,0,0,2,0,1,0,1,0,0,1,1,2,2,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,1,0,1,1,0,0,2,1,1,1,0,0,2,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0,1,0,2,1,1,0,0,1,0,2,0,1,0,0,0,0,1,0,1,0,1,0,1,2,1,1,1,0,0,0,0,0,2,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,2,2,2,0,0,1,1,0,0,0,0,1,0,1,0,1,1,0,2,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,2,1,2,0,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,2,1,0,2,2,1,1,1,0,1,1,0,2,0,1,1,2,0,2,0,0,1,2,0,0,1,0,2,2,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,2,1,1,2,0,0,0,0,1,2,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,2,1,0,0,0,1,0,0,0,2,0,2,2,0,0,0,1,2,0,0,0,1,0,1,0,2,1,1,1,0,0,0,0,0,1,0,2,0,0,1,2,0,0,2,0,1,0,0,0,0,0,1,0,0,1,0,1,0,2,1,0,0,1,1,1,0,0,1,0,0,2,1,0,1,1,0,1,1,0,2,0,0,1,2,1,1,1,2,0,0,0,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,2,0,0,1,0,1,0,1,0,0,1,1 0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0,1,1,0,2,1,1,2,1,0,1,0,0,0,0,0,0,1,1,1,1,1,1,0,1,0,0,1,0,1,0,2,1,1,0,0,1,1,0,0,2,1,0,0,0,0,1,0,1,0,1,0,0,1,1,0,2,0,0,0,0,1,2,0,0,2,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,2,0,1,0,1,0,0,2,0,1,0,1,1,0,1,1,1,0,0,1,1,0,2,0,0,1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,2,0,0,1,1,2,1,1,0,0,0,2,0,1,1,1,0,1,0,1,2,1,0,0,1,2,1,0,1,0,0,0,2,0,1,0,0,0,0,1,1,1,0,1,1,0,1,0,1,2,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,2,0,0,1,0,0,0,2,1,0,1,0,0,1,1,0,0,1,2,1,1,0,0,1,1,1,2,1,0,0,1,1,0,2,0,0,2,1,0,0,0,2,0,0,0,1,0,0,1,0,0,2,0,1,2,1,0,0,1,1,1,1,1,0,1,0,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,2,2,2,0,1,1,1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,1,2,2,1,0,2,0,0,0,0,0,1,0,1,0,0,0,0,1,2,1,1,0,1,1,0,2,1,1,0,0,0,1,0,1,1,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,1,0,2,0,0,0,0,2,2,1,0,1,0,0,2,1,1,0,0,0,0,0,1,0,2,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,1,2,0,1,2,2,0,0,1,0,0,1,0,1,0,1,0,1,1,0,1,1,2,2,0,1,0,2,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,2,1,1,0,1,0,0,0,1,0,0,1,2,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,2,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,2,1,0,1,1,1,1,0,0,0,0,1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,0,1,2,0,0,0,0,0,0,2,1,1,0,0,0,0,0,1,0,2,1,1,1,0,1,0,1,0,2,2,1,0,1,0,1,0,1,1,2,0,1,0,1,0,0,1,1,1,0,1,2,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,2,2,1,0,0,1,1,0,0,1,1,1,2,1,0,2,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,2,0,0,0,0,0,0,0,1,1,0,1,0,0,0,2,0,0,2,2,2,2,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,2,0,1,2,0,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,2,1,1,0,1,1,0,1,1,1,0,2,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1 0,0,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,2,1,1,0,0,0,2,0,2,0,0,0,2,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,2,1,1,2,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0,0,1,1,1,2,1,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,2,0,0,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,2,0,1,0,1,1,0,0,0,0,1,0,0,0,0,2,0,1,0,1,0,1,1,0,2,0,0,0,0,1,0,0,0,0,0,0,1,2,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,2,0,0,1,0,1,0,0,1,1,1,1,2,0,0,1,0,1,0,1,1,0,0,0,1,0,1,0,2,0,2,1,0,0,0,2,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,2,1,0,1,0,1,1,2,0,0,0,2,0,0,0,0,2,0,0,2,1,1,1,0,2,1,0,0,1,0,0,0,0,1,1,1,0,1,0,1,2,1,0,0,1,1,1,0,2,0,0,1,1,1,0,2,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,2,1,1,1,1,0,0,0,0,2,1,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,2,0,1,1,1,2,2,0,0,0,1,0,2,1,0,2,0,2,1,0,1,0,0,1,0,0,0,0,0,1,1,1,2,1,0,2,1,0,0,1,1,1,1,1,0,0,0,1,2,0,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,2,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,2,1,1,1,1,0,1,0,1,1,0,0,1,2,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,1,2,0,2,0,1,0,0,1,1,1,1,1,0,0,1,0,1,0,0,2,0,0,2,0,0,2,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,2,0,1,1,0,1,1,0,2,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,2,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,2,0,0,0,0,0,1,1,0,1,0,2,1,0,1,0,1,1,1,0,1,0,1,2,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,2,1,0,0,0,0,1,0,0,0,1,0,1,2,1,0,0,0,1,1,0,0,1,1,1,0,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1,2,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,2,1,0,1,1,1,0,0,0,1,1,2,0,1,0,1,0,0,0,1,1,0,0,2,0,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,2,0,0,0,0,0,0,0,0,2,1,1,0,0,1,1,2,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,2,0,0,0,0,1,1,0,0,1,2,0,0,0,2,0,0,0,0,0,0,1,0,1,1,2,0,0,0,0,1,0,0,1,0,0,0,0,2,1,0,0,0,0,0,1,1,0,0,0,0,2,0,1,1,0,0,0,0,2,0,0,1,1,0,1,0,0,0,2,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1 1,0,0,1,2,0,0,1,0,1,2,1,0,2,0,0,1,0,1,0,0,0,0,0,0,0,1,2,0,1,2,0,2,0,0,1,1,1,1,1,2,2,0,1,1,1,0,1,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0,2,0,0,1,0,0,1,1,0,2,1,0,1,0,0,1,1,0,1,1,1,0,2,1,2,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,2,1,0,2,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,2,1,0,0,0,0,1,0,2,0,2,1,0,0,0,1,0,0,2,0,0,1,0,2,0,0,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,2,2,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,2,2,0,2,0,0,1,0,0,1,2,1,0,0,1,0,0,1,1,0,1,0,1,2,0,1,0,2,1,0,1,1,1,2,0,0,0,1,2,2,0,1,1,0,1,2,2,1,1,1,0,0,0,1,1,1,0,0,0,2,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,2,0,0,1,0,1,0,0,2,0,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,2,1,1,0,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,2,0,0,0,1,0,0,2,1,0,0,1,1,0,0,1,0,2,0,1,0,0,0,1,0,2,0,0,0,0,2,0,0,2,0,0,0,1,1,0,0,0,2,1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,2,1,0,0,1,0,1,0,0,0,1,0,0,2,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,1,1,0,1,0,0,2,1,0,2,2,1,0,0,0,0,1,0,0,2,0,2,0,2,0,0,1,0,0,1,0,0,1,2,1,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,1,2,1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,1,2,1,1,0,0,0,0,1,1,1,1,0,0,2,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0,0,2,1,1,0,0,2,1,2,0,0,1,0,0,2,0,1,2,0,0,2,0,0,1,1,0,0,2,0,2,0,0,1,1,0,0,0,2,0,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,2,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,1,1,0,2,1,0,0,0,0,0,2,1,0,0,0,1,0,1,0,1,1,2,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,2,1,1,1,1,2,0,0,1,0,0,1,0,1,1,0,1,1,1,1,0,0,2,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,1,2,1,0,0,1,0,0,0,2,2,1,1,1,1,0,0,0,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0,0,2,0,0,0,1,2,0,2,0,1,1,2,0,1,0,1,0,0,2,0,1,0,0,1,2,1,1,0,0,0,1,0,0,0,1,0,0,2,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,2,1,0,0,0,1,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,1,1,0,0,0,2,2,0,1,1,0,0,2,0,1,2,1,0,0,0,0,0,1,2,1,1,1,0,0,2,1,0,2,1,0,0,0,0,1,1,2,1,0,2,1 2,0,1,0,0,0,0,1,0,1,0,0,0,2,2,1,0,1,0,0,0,2,1,0,2,0,1,0,0,1,2,0,0,1,0,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,2,0,1,1,2,0,0,0,0,1,1,0,2,0,1,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,2,1,2,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,2,0,0,1,2,0,0,1,0,1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,2,1,0,1,0,0,0,1,0,0,2,0,0,2,0,0,0,0,0,1,2,0,1,1,0,1,0,0,0,1,1,1,0,2,1,1,1,1,1,0,1,1,2,0,1,0,1,0,0,2,1,1,0,0,0,1,0,0,0,1,0,0,1,0,2,2,0,1,1,0,0,0,2,1,0,1,1,0,0,2,2,1,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,2,1,2,1,0,0,0,0,0,1,0,1,2,0,0,1,1,2,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0,2,1,1,0,0,0,2,2,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,2,0,0,0,0,1,1,2,0,1,1,1,2,2,1,0,1,1,1,2,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,2,0,1,1,0,1,1,0,1,0,0,2,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,2,1,1,0,0,1,0,0,0,0,1,1,1,0,2,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,2,0,0,0,1,0,0,0,1,0,0,0,1,1,1,2,2,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,1,1,0,1,2,0,1,1,0,2,0,1,0,1,2,0,1,0,1,0,1,0,1,0,2,0,0,0,1,0,1,1,1,1,0,1,0,0,2,1,2,0,0,0,1,0,0,0,1,0,1,1,0,2,1,0,1,2,1,2,0,1,0,1,0,2,1,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,2,0,0,0,1,0,1,0,1,1,1,0,0,2,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0,2,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,1,0,1,1,1,1,0,1,2,1,0,0,0,0,2,2,0,0,1,0,0,1,2,1,1,2,0,2,1,0,1,2,1,1,0,0,0,1,0,0,1,0,0,0,0,2,0,1,0,2,0,0,0,0,0,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,1,1,2,0,2,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,2,0,2,0,1,0,2,0,0,0,1,1,0,2,1,0,0,0,0,0,0,0,1,0,0,1,1,2,0,0,0,0,1,0,0,1,2,0,1,1,0,2,0,1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,2,0,1,0,0,0,0,1,2,1,1,1,0,0,1,2,1,1,1,0,1,0,2,0,0,0,1,2,0,0,0,0,0,0,0,0,1,1 1,0,1,0,1,0,0,0,0,1,1,1,0,2,1,1,0,0,1,0,0,0,1,1,0,1,2,1,1,1,0,0,0,0,2,0,1,0,1,0,0,1,0,2,0,0,0,2,1,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,1,0,2,0,2,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,1,0,2,0,0,0,1,0,1,0,0,0,0,0,0,2,1,0,0,1,0,1,1,0,0,2,0,0,0,1,1,1,1,0,1,0,0,0,0,2,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,2,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,2,0,1,1,0,1,1,1,1,0,1,1,0,2,0,0,0,1,0,0,0,0,0,2,1,1,2,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,2,1,1,2,2,0,0,0,1,0,0,2,0,0,0,1,0,2,1,0,0,1,0,0,0,2,1,0,1,0,0,1,0,1,0,0,0,0,1,1,2,1,0,0,0,2,0,1,1,0,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,1,2,2,1,0,0,0,0,1,2,2,0,1,1,0,0,0,0,1,1,2,1,0,0,2,2,0,1,1,0,1,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,1,2,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,2,1,0,0,0,0,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,2,1,0,0,0,0,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,1,1,0,1,2,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,2,1,1,0,2,0,1,0,0,0,0,0,0,0,1,2,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,2,1,0,0,2,0,0,0,2,1,0,0,0,0,0,2,0,0,1,2,0,0,0,0,0,0,0,0,1,2,2,1,0,1,0,1,1,0,1,0,2,0,1,2,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,1,1,1,1,0,2,0,0,1,0,1,1,1,1,1,1,0,1,0,1,2,2,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,2,1,1,0,2,1,0,0,1,0,1,0,0,0,0,0,2,0,1,0,1,0,0,1,0,0,0,0,1,0,0,2,2,0,0,2,0,1,2,1,1,0,0,1,1,0,0,2,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,2,0,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,2,0,2,0,1,0,0,0,1,0,1,1,0,1,0,2,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,1,0,1,0,0,2,0,1,1,2,1,0,0,0,1,1,0,1,2,2,1,1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1,0,0,0,2,1,1,1,0,1,1,1,1,1,0,1,0,0,1,2,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,2,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,2,0,0,0,1,1,0,1,0,1,0,0,1,2,1,2,0,0,0,2,1,1,1,1,0,0,0,2,1,0,2,1,0,0,0,1,0,1,0,0,2,1,0,1,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1 0,0,1,2,0,1,0,1,1,0,0,1,0,1,1,0,0,1,2,0,0,2,0,0,1,1,0,1,0,0,2,0,2,0,0,0,0,2,1,0,1,2,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,2,0,0,0,0,0,1,0,1,0,1,1,0,1,0,1,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0,2,0,1,2,0,0,1,0,0,2,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,2,1,0,1,1,1,0,0,1,1,2,1,1,0,0,0,1,0,0,2,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,2,0,0,0,2,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,2,1,1,2,2,0,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,1,2,0,0,0,0,0,1,2,1,1,1,0,0,1,1,0,2,0,0,0,0,1,1,0,0,0,0,1,2,1,1,0,1,0,0,1,0,0,2,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,2,1,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0,1,0,0,1,1,0,0,1,1,2,1,1,0,0,0,0,1,1,2,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,1,0,2,0,0,1,1,1,0,0,1,0,1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0,2,0,1,1,0,2,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1,2,0,0,2,0,2,0,0,2,1,0,1,1,1,0,0,0,0,0,1,0,1,0,2,2,1,0,0,0,0,0,1,0,0,0,2,1,1,0,0,2,1,1,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0,2,0,1,0,0,0,1,0,1,0,2,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,2,1,2,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,2,2,0,0,0,1,0,0,0,0,0,1,1,1,1,1,0,0,2,2,0,0,2,1,1,0,1,1,0,1,2,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,1,1,0,1,2,0,1,2,0,0,1,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0,2,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,2,0,0,1,1,2,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,1,1,0,0,1,1,2,0,0,0,1,0,1,2,0,1,1,0,1,1,0,1,0,2,0,0,0,0,0,2,2,0,1,1,0,1,1,0,0,1,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,2,0,0,0,0,1,0,1,1,0,1,1,0,2,1,1,0,1,0,0,0,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,2,1,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0,0,1,2,1,2,0,0,1,0,0,0,1,0,0,1,0,0,1,2,1,0,0,2,0,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0,1,0,0,2,0,0,0,1,0,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,2,0,0,0,0,0,0,1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,2,0,0,1 0,0,0,1,0,0,1,0,0,1,1,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,2,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,2,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,1,1,0,2,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,2,1,0,0,0,1,0,0,1,1,0,1,0,1,0,0,2,0,0,1,0,0,0,1,1,1,0,1,2,0,1,1,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,2,2,1,0,0,0,2,0,1,1,1,0,0,0,0,1,0,1,0,1,0,2,0,1,0,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,2,0,2,0,0,1,0,1,0,1,2,0,0,0,0,0,0,2,0,0,0,0,0,1,1,1,1,0,1,2,1,2,0,2,1,0,1,2,0,0,0,0,0,2,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,2,0,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,1,2,0,2,0,1,0,0,0,0,1,0,0,0,0,2,1,1,0,0,0,2,1,0,1,1,0,0,0,0,0,0,1,1,1,0,1,0,2,1,2,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,1,2,0,0,1,1,0,1,1,0,0,0,0,0,1,2,0,0,0,1,2,0,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,2,1,1,2,0,1,2,0,0,1,2,1,1,0,2,0,0,0,1,0,0,1,0,1,0,1,2,2,0,2,1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,1,1,0,1,0,0,2,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,2,1,0,1,0,0,0,1,0,2,0,1,0,0,1,0,1,2,1,0,1,0,0,1,1,0,0,2,0,0,1,2,1,1,1,0,2,0,1,0,2,0,0,0,1,1,0,0,0,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,2,1,1,1,0,1,1,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,2,0,0,1,0,1,0,1,2,1,2,0,1,0,2,0,1,0,0,0,2,0,0,0,0,2,0,1,0,0,0,1,0,0,2,0,1,1,1,0,0,0,2,1,1,2,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,1,2,1,0,0,0,2,2,2,0,2,0,0,0,0,2,1,1,0,2,1,1,0,0,0,0,0,1,1,1,2,0,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,1,1,1,0,1,0,2,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,1,1,0,2,1,1,0,2,0,1,0,0,0,0,1,0,0,2,0,0,1,0,1,0,1,1,1,0,0,0,0,2,1,1,0,1,0,1,0,1,0,2,0,0,0,2,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,2,1,0,2,0,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,2,0,1,1 1,0,1,1,0,0,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,2,0,0,0,1,1,0,1,2,0,1,0,1,0,0,0,0,0,0,1,1,1,0,2,1,0,0,0,1,0,0,0,2,0,2,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,2,0,0,0,1,1,0,2,0,0,0,2,2,0,0,0,0,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,2,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,1,2,0,1,0,1,2,0,2,0,0,1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,2,1,0,0,0,1,2,0,0,0,1,2,1,0,0,0,0,0,0,0,0,1,0,1,0,2,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,2,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,1,2,0,0,0,1,0,0,0,0,0,1,1,2,0,0,0,0,0,0,1,1,0,0,0,1,2,0,0,0,0,0,1,0,0,0,2,2,0,2,1,1,1,0,0,1,2,0,0,0,0,2,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,2,0,1,0,1,1,0,1,0,0,0,1,0,2,1,0,0,0,0,0,1,0,1,0,0,1,0,0,2,0,2,1,1,0,1,1,0,0,0,1,1,2,1,1,1,1,0,0,1,0,1,0,1,0,0,0,2,0,1,0,2,0,1,0,0,1,1,0,1,2,2,0,0,0,1,0,0,1,2,0,0,0,0,0,0,1,1,1,0,2,0,2,0,0,0,1,0,1,0,0,1,1,2,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,2,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,2,1,0,1,1,2,0,0,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,1,2,0,1,0,1,1,1,0,0,1,1,1,1,0,1,1,0,0,1,2,0,0,2,0,2,1,2,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,2,0,0,1,1,1,0,0,1,1,1,0,0,2,1,0,1,0,2,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,2,2,1,1,2,2,0,1,2,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1,2,1,1,0,1,0,0,0,0,2,0,0,0,0,0,1,0,1,1,2,0,1,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,2,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,2,0,1,0,1,1,2,1,0,0,1,0,0,2,0,0,1,1,1,0,1,2,0,0,1,0,0,0,1,2,0,1,0,2,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,2,1,2,0,1,2,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,1,1,0,2,0,0,1,0,2,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,1,2,1,0,0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,2,0,2,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,2,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,1,2,1,0,1,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,2,0,0,2,1,1,0,0,0,0,0,1,0,0,2,0,0,0,0,1,1,1,0,1,0,2,0,1,0,1,1,0,0,0,0,0,1,0,0,1,1 0,0,1,0,0,0,1,1,1,1,1,0,0,2,1,0,0,2,1,0,0,0,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1,0,2,0,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,1,0,1,2,0,2,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0,2,0,0,0,2,0,0,0,1,1,0,0,2,0,1,2,0,2,2,0,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,2,1,0,0,0,1,2,0,0,1,1,1,0,0,0,0,1,1,0,1,0,2,1,1,0,2,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,2,0,1,0,1,0,2,1,0,1,0,2,1,0,0,0,2,0,0,0,0,1,1,1,0,1,0,1,0,1,0,0,2,1,0,0,0,0,0,1,0,0,0,0,0,1,1,1,2,0,1,1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,2,1,1,2,2,0,0,0,0,1,0,0,0,0,0,1,0,1,2,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,1,1,1,2,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,2,0,1,0,1,2,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,2,1,0,0,0,1,0,1,1,1,0,1,1,2,1,1,0,0,0,1,2,0,2,1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0,2,1,1,1,1,0,1,0,0,1,0,1,2,0,0,1,0,1,2,1,0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,0,1,2,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,1,1,0,2,0,0,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0,2,0,0,1,0,0,1,0,0,0,1,0,0,1,1,1,1,1,0,2,0,0,1,0,1,0,0,0,2,0,1,2,0,1,2,2,1,1,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,1,0,0,0,2,0,1,1,1,0,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,2,0,0,2,1,0,0,0,0,2,0,0,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,1,0,1,1,0,0,1,0,0,0,0,2,1,0,0,2,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,2,2,0,0,0,0,0,0,0,0,1,2,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,2,0,2,0,0,0,1,2,1,1,1,0,1,2,0,0,0,0,0,1,0,1,2,2,0,2,1,0,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,2,0,2,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,2,0,0,1,0,0,0,0,1,1,0,0,0,1,0,2,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,1,0,0,2,0,1,0,0,1,2,0,2,0,0,0,2,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0,2,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,2,2,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,1,1 1,0,1,2,2,0,1,1,0,1,0,1,1,2,0,0,1,1,0,1,0,0,1,0,1,1,1,0,1,0,2,0,0,0,0,0,0,1,0,0,2,1,0,1,1,1,0,1,1,2,1,0,2,0,1,0,1,0,1,0,1,0,0,0,1,0,0,1,1,1,2,0,1,2,1,1,1,0,0,1,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,2,1,0,0,1,1,1,0,1,0,1,0,2,1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,2,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,0,1,1,2,1,2,0,2,1,2,0,0,0,0,0,0,0,1,0,1,2,0,1,0,1,0,0,0,0,1,1,0,0,0,0,1,2,0,0,0,0,1,0,2,0,0,2,0,1,0,1,0,0,1,2,1,0,0,1,2,0,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0,2,1,0,0,1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0,2,0,1,0,0,0,0,1,0,1,1,1,0,1,0,1,1,2,0,1,0,1,0,1,0,0,0,2,1,0,1,0,1,0,0,0,1,2,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,2,0,0,1,1,1,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,2,2,0,0,0,1,0,0,0,1,2,0,1,0,0,0,0,0,1,0,0,0,0,1,0,2,0,1,0,1,1,2,1,1,0,0,0,0,2,0,0,0,0,0,1,0,2,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,0,1,0,1,1,1,0,2,0,0,1,1,0,1,1,1,0,0,0,0,1,2,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,2,1,2,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,2,1,0,1,1,1,0,0,1,0,2,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,1,2,0,0,1,0,0,1,0,0,0,1,1,1,1,1,1,1,0,1,0,1,0,0,2,1,0,2,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,1,1,0,2,0,2,2,0,0,0,1,0,1,0,0,2,0,1,0,0,0,1,1,0,2,0,1,0,1,0,1,0,0,2,0,1,0,1,0,0,0,0,0,2,0,0,0,1,2,1,0,0,1,1,0,0,2,0,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,2,1,1,0,0,0,0,1,2,0,1,0,0,0,1,1,1,1,0,0,0,2,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,2,2,0,1,0,0,2,0,0,0,1,0,0,0,0,1,1,1,1,0,2,1,0,0,1,0,0,0,1,1,1,1,0,0,0,1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1,1,1,2,0,0,0,0,1,0,0,1,0,2,1,0,0,1,1,1,0,2,0,1,2,0,0,1,0,0,1,1,0,1,2,1,1,0,0,2,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,2,0,0,1,0,1,0,1,0,1,0,0,2,0,0,2,1,1,2,0,2,0,2,2,2,0,0,0,0,1,1,0,1,0,1,2,0,0,1,1,1,0,1,0,1 0,0,0,1,1,0,1,1,1,2,1,1,1,0,1,0,0,1,1,0,0,0,0,1,2,1,0,1,0,1,1,0,1,0,2,0,1,0,0,1,1,0,0,2,1,1,0,1,1,0,1,1,1,0,0,0,2,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,1,1,1,0,2,1,0,0,0,0,0,0,1,1,0,0,2,1,0,1,0,0,1,2,0,0,1,0,1,0,1,1,1,0,0,0,0,2,0,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,2,0,0,1,0,0,0,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0,2,0,2,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,1,0,2,0,0,0,0,0,0,1,2,0,1,1,0,0,2,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,2,0,1,0,2,0,1,0,2,2,1,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,2,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,2,0,1,0,1,0,1,0,0,0,0,1,0,1,0,1,1,2,1,0,0,1,2,0,0,1,2,0,0,1,1,1,1,1,2,0,0,2,0,0,1,0,0,0,1,1,1,2,0,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,2,1,0,0,0,2,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,2,0,0,1,0,0,0,1,1,1,0,0,0,2,0,0,1,0,2,0,0,1,0,1,2,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,1,1,2,2,1,0,0,1,1,0,2,0,1,2,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,2,1,0,2,1,1,0,2,2,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,1,0,2,1,1,0,0,0,0,0,1,0,0,0,1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,2,0,1,1,2,1,0,1,1,0,2,1,2,0,1,0,1,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,2,0,1,0,0,0,0,0,2,0,0,0,0,0,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,2,0,1,0,2,0,0,0,1,1,1,1,1,0,0,0,2,0,2,0,1,0,0,0,0,2,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,2,1,1,2,0,1,1,1,0,0,0,2,0,0,0,0,0,0,1,0,0,2,2,0,0,0,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,2,0,1,1,0,2,0,0,1,0,0,0,0,0,0,1,2,1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,2,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,2,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,1,2,0,1,1,0,1,2,0,0,1,0,0,0,0,2,1,0,2,1,1,1,0,1,1,1,0,0,0,2,1,1,0,0,1,0,0,1,0,2,2,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,2,0,1,1 1,0,0,0,1,0,1,0,1,1,2,0,1,0,0,1,0,0,2,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0,2,1,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,2,1,0,1,0,1,0,2,0,2,2,0,0,0,0,1,1,0,0,2,0,0,0,1,1,0,0,1,2,1,0,0,0,0,1,1,2,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,2,1,2,0,0,0,2,2,1,2,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,2,1,0,1,0,1,0,1,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,2,0,1,2,0,0,1,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,2,0,0,2,0,0,0,0,1,0,1,1,0,0,0,0,0,0,2,1,0,1,2,0,1,0,2,0,0,0,0,1,1,0,2,0,0,0,0,1,2,0,0,0,0,0,2,0,2,2,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,1,2,0,0,1,1,0,1,0,0,0,1,1,1,0,1,1,2,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,1,1,2,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,2,1,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,1,2,0,0,2,1,0,0,0,0,1,1,0,2,0,0,0,1,0,0,0,1,0,1,2,0,1,1,1,0,0,2,0,0,2,0,0,1,0,1,0,0,1,0,0,2,1,0,0,0,1,0,2,0,0,2,2,0,0,1,0,0,1,2,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,2,0,2,1,1,0,0,0,1,0,2,0,0,0,1,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,2,1,2,0,0,1,1,0,2,1,0,1,2,1,0,1,0,1,0,0,1,1,2,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,2,1,0,1,1,0,0,0,1,1,2,0,0,1,0,1,1,0,1,1,2,0,1,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,2,1,0,1,0,1,0,1,1,1,2,0,0,0,0,2,0,1,1,1,0,1,0,2,0,1,1,1,0,1,0,0,0,2,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,0,0,0,1,0,1,0,1,2,0,1,0,1,0,2,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,1,0,1,0,2,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,1,1,1,1,2,1,1,1,0,1,2,0,1,0,1,1,2,0,0,1,1,0,0,0,2,0,0,1,0,1,2,0,0,1,1,0,2,0,1,0,0,0,1,0,0,0,0,1,1,0,1,2,0,0,2,0,1,1,1,0,1,0,0,1,0,0,0,2,0,1,0,1,0,1,1,1,0,1,1,1,0,0,2,0,1,1,0,0,0,0,0,0,0,2,0,1,0,0,0,1,0,2,0,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0,2,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,2,0,0,1,2,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,1,0,2,0,0,1,1 1,0,1,1,0,0,0,1,0,1,2,1,0,1,2,0,0,1,0,0,1,0,2,0,1,1,2,2,0,2,2,0,1,2,0,0,0,1,1,0,2,2,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,1,2,0,2,0,1,0,1,1,0,0,1,0,0,1,1,0,0,2,0,1,0,1,0,2,0,1,0,0,0,1,1,0,0,1,1,2,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,2,1,0,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,2,0,0,2,2,0,0,1,0,1,0,0,0,1,2,0,2,0,1,1,0,0,0,0,0,1,0,0,1,2,0,2,0,1,1,0,1,0,2,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,2,2,0,1,0,1,1,0,2,1,1,0,0,2,0,0,0,0,0,1,1,0,1,2,0,0,0,0,1,0,0,1,0,2,1,2,0,0,1,1,2,1,0,2,1,0,0,2,0,2,1,1,1,1,2,0,0,1,0,0,1,0,0,0,0,0,0,0,2,1,1,1,0,0,0,0,0,0,0,1,1,0,2,0,2,1,0,0,0,1,1,0,1,0,1,1,0,0,2,0,1,0,0,0,0,0,2,0,1,1,1,0,2,0,0,1,2,0,1,1,1,1,0,0,0,1,2,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,2,0,1,2,1,0,0,0,0,0,2,1,1,0,2,1,1,2,0,2,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,2,1,0,0,0,1,0,0,0,0,2,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,1,1,2,1,1,2,1,1,0,2,1,0,2,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,1,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,2,1,0,0,1,0,1,0,0,0,0,2,0,0,1,0,1,0,0,0,1,2,0,0,1,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,2,0,0,1,0,0,1,0,2,0,0,1,0,0,0,2,0,0,0,0,0,1,0,2,1,1,0,0,2,0,0,0,0,2,2,1,0,2,0,2,2,2,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,2,0,1,0,0,1,0,1,1,1,0,0,1,0,1,0,2,1,0,0,1,0,0,0,0,1,2,1,2,1,2,0,1,0,0,1,1,0,0,0,0,1,2,0,0,0,1,1,0,0,1,0,0,0,2,0,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,2,0,1,1,0,2,0,0,0,0,2,1,2,0,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,2,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,1,2,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,2,0,0,1,1,1,0,2,0,0,1,2,0,0,2,1,0,0,0,0,1,0,1,1,0,0,1 0,0,0,1,0,1,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,2,1,1,1,0,2,2,0,1,1,0,0,0,0,0,0,2,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,1,0,0,1,0,2,1,2,0,0,0,1,1,0,0,0,1,1,0,0,1,2,0,0,0,0,0,1,1,1,1,0,0,1,1,2,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,2,0,1,1,1,0,0,2,0,1,0,0,1,1,0,1,0,0,0,0,1,0,2,2,2,1,0,0,1,1,1,0,2,0,2,1,1,0,1,0,2,1,0,1,2,0,1,1,0,0,2,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,2,2,0,1,1,1,0,2,1,1,0,0,1,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,2,0,1,1,0,0,1,0,2,0,1,2,1,0,0,0,1,1,0,1,0,0,0,2,0,0,0,0,0,0,0,1,2,0,0,2,0,1,1,1,1,0,0,1,2,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,2,1,0,1,2,0,1,1,0,1,0,1,0,2,0,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,2,2,1,0,0,0,0,0,1,0,2,0,0,2,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,2,0,1,0,1,1,0,0,1,0,0,1,2,1,2,1,0,0,1,0,1,0,1,0,0,0,1,1,0,1,1,1,2,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,2,0,1,1,2,0,0,0,0,0,0,0,0,1,1,0,0,0,2,1,1,2,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,0,0,2,2,2,0,1,0,1,0,1,0,1,1,0,2,1,0,0,0,0,0,0,2,1,0,1,0,0,0,2,1,2,0,1,0,0,0,2,1,1,0,0,1,0,0,0,0,2,0,0,0,0,1,0,1,1,0,0,0,2,0,2,2,0,2,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,1,2,1,0,1,1,1,2,0,0,0,0,0,1,0,0,0,1,0,1,0,1,2,1,1,0,2,0,1,0,1,0,0,0,2,0,0,0,1,1,2,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0,0,1,2,0,0,2,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0,2,2,0,1,0,1,1,0,0,1,0,2,1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,2,2,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,0,0,2,0,0,1,0,0,2,0,1,0,0,0,0,0,0,1,2,1,0,0,1,0,1,0,0,0,1,2,0,2,0,0,0,1,1,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,1,1,2,0,0,1,0,0,0,1,1,2,1,1,0,0,1,0,0,0,0,0,0,1,0,2,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,1,0,0,2,1,0,2,0,2,2,0,0,2,0,0,1,0,1,1,0,0,1,0,0,1,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,2,0,0,0,0,0,1,2,1,1,1,2,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,1 0,0,2,2,1,0,1,1,0,0,1,1,0,2,0,1,0,0,0,0,0,0,0,0,1,0,0,2,1,0,1,0,1,1,0,0,0,2,0,0,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,2,2,1,0,1,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,1,2,0,0,0,0,0,2,0,1,1,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,1,0,1,2,2,0,0,0,1,2,1,0,1,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,2,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,2,0,1,0,0,1,0,0,0,0,2,0,0,1,1,2,1,2,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,2,0,0,0,0,2,0,0,0,1,0,1,0,2,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,1,0,2,0,1,0,0,0,1,0,0,0,1,1,1,2,0,0,0,0,0,2,0,0,0,0,1,2,0,1,0,2,0,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,1,2,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0,2,0,0,0,0,0,0,1,0,2,2,0,0,0,0,0,0,0,2,2,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,2,0,2,0,1,0,1,2,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,2,1,1,2,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,2,1,1,0,2,0,1,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,2,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0,2,0,0,0,0,2,1,1,0,0,0,1,2,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,2,0,0,1,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,2,2,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,1,2,0,0,0,0,0,1,1,2,0,1,0,0,0,1,0,0,0,1,1,0,0,1,2,0,0,2,1,2,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,2,2,0,0,0,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,0,1,1,0,0,2,0,1,2,1,0,1,0,0,0,1,2,2,0,0,2,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,2,1,0,1,1,1,2,1,2,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,2,0,2,1,1,0,0,0,0,0,1,1,0,0,0,1,1,1,1,1,2,1,1,0,0,0,0,0,1,0,0,2,1,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0,1,2,0,1,0,0,0,1,2,2,0,0,1,0,1,0,0,0,1,2,0,0,2,0,1,1,0,1,0,1,0,0,2,1,0,0,0,1,0,1,2,1,0,1,1,0,0,1,0,2,1,0,0,0,0,1,2,0,1,0,1,0,1,0,0,2,1,0,0,2,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,2,1,1,0,0,0,0,0,2,0,0,1,0,1,0,1,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1 0,0,0,1,0,0,0,0,0,1,2,0,0,1,1,1,0,1,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,2,0,0,1,2,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0,2,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,2,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,1,1,2,0,0,0,0,1,2,2,0,0,0,1,2,0,0,0,0,1,0,2,1,0,1,0,0,1,0,0,1,1,2,2,0,0,0,1,0,0,0,1,2,1,0,0,2,0,1,1,2,1,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,1,0,1,0,2,0,0,0,1,2,0,0,1,1,0,2,0,0,0,1,1,0,0,0,0,0,0,2,0,1,0,1,2,1,1,1,1,0,1,0,0,0,0,0,1,1,0,1,1,0,1,1,2,1,2,1,0,1,0,2,0,0,1,0,0,0,0,0,1,0,0,0,2,0,0,2,0,0,0,0,1,0,2,0,0,0,0,2,1,2,0,1,1,1,1,0,2,0,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,2,2,1,0,0,1,0,0,1,0,2,1,1,0,0,1,0,0,2,0,1,1,0,0,0,0,0,2,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,1,0,0,0,1,0,1,1,1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,2,0,0,0,1,1,2,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0,2,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,2,0,0,1,0,1,0,1,0,0,2,2,1,0,0,1,2,0,1,1,1,1,0,0,1,2,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,2,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,2,1,1,0,1,0,1,1,0,2,0,1,1,1,0,0,1,1,1,1,0,0,0,2,0,1,0,1,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0,2,2,0,1,0,2,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,2,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,2,1,0,0,0,1,1,0,1,0,0,0,0,0,1,2,2,2,1,0,1,1,0,0,1,1,0,1,1,1,0,1,2,0,0,1,0,2,0,0,0,0,1,1,0,0,0,2,2,0,0,0,0,0,0,2,0,0,0,0,2,0,1,0,1,0,0,0,1,0,2,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,1,2,0,0,0,0,0,0,1,1,1,1,2,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,1,1,2,1,0,0,2,2,0,2,1,1,0,0,0,1,0,0,1,1,2,0,1,0,0,1,0,1,1,0,1,2,0,0,1,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,1,0,1,0,2,0,0,0,1,1,2,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1 0,0,1,1,1,0,1,1,0,1,2,1,1,1,2,0,0,1,0,0,0,0,0,0,1,1,0,1,1,1,2,0,0,1,0,0,1,1,0,0,2,2,0,0,1,0,0,0,0,0,1,0,1,0,1,0,2,1,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0,2,2,1,0,1,0,0,0,0,0,2,2,1,1,0,2,0,2,2,1,0,0,2,1,2,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,1,2,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,2,0,0,1,0,0,0,0,2,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,2,1,1,1,1,1,0,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,2,0,0,0,2,1,0,0,0,1,0,1,0,1,0,1,1,0,0,2,1,2,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,2,1,0,1,2,0,0,1,1,0,0,1,0,1,1,0,2,0,0,1,1,1,0,0,0,0,1,0,1,2,2,0,0,0,1,1,0,0,2,2,0,0,0,1,1,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,1,0,2,0,1,0,2,0,0,1,0,0,0,1,0,0,1,0,2,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,2,1,0,1,1,0,1,0,2,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,0,2,0,1,1,1,0,0,0,0,2,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0,2,0,2,1,0,0,0,1,1,2,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,0,2,0,2,1,0,1,0,1,0,1,0,0,0,0,0,1,1,1,1,0,0,0,1,1,2,1,1,0,0,0,0,0,0,2,0,1,0,0,1,0,1,0,0,2,0,2,1,0,0,1,2,1,1,0,2,2,0,0,1,1,0,0,0,0,0,0,2,0,2,2,2,1,2,2,0,0,0,1,0,0,1,0,1,2,0,0,0,1,0,1,2,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,2,0,0,1,1,1,0,0,1,0,0,2,0,0,0,1,0,1,0,1,1,1,1,0,0,2,1,2,0,1,0,0,1,0,0,1,1,0,1,0,0,2,0,1,1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,2,1,1,1,1,0,0,0,1,0,0,0,2,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0,1,2,0,0,0,0,0,0,2,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,2,0,0,1,0,1,0,1,0,0,2,0,1,1,1,2,1,1,0,0,0,1,0,0,0,0,1,0,2,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,1,2,0,0,1,1,0,0,1,0,1,2,0,0,1,1,1,0,0,1,0,0,2,1,1,1,1,2,0,0,0,1,1,0,0,0,1,0,0,1,2,0,1,0,1,0,1,0,2,0,2,0,0,0,0,0,0,1,1,0,1,0,2,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,2,1,1,2,0,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0,2,0,0,1,0,1,0,2,1,1,0,0,2,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1 1,1,0,1,2,0,0,1,0,2,0,0,0,2,1,0,0,2,1,0,0,0,0,0,1,0,2,2,0,0,1,0,1,1,1,0,2,0,0,1,0,1,1,2,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,2,0,0,1,0,0,0,0,0,2,0,0,0,2,1,1,0,1,0,0,0,0,0,1,1,1,1,2,0,1,1,2,0,0,0,0,0,0,1,1,0,0,0,1,1,1,1,1,0,0,2,1,0,0,1,1,1,1,2,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,2,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,2,0,1,1,0,1,0,0,0,0,1,1,0,0,0,2,1,0,2,1,0,1,0,0,0,2,1,0,0,0,0,2,1,0,0,0,1,0,0,2,1,0,0,0,0,0,1,1,0,1,0,1,2,0,1,1,1,1,2,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,2,1,0,0,2,1,0,0,0,1,0,1,0,2,0,0,0,0,0,1,0,1,1,2,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,2,0,0,0,1,1,0,0,1,0,0,0,1,0,1,2,0,2,0,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,2,0,0,0,1,0,0,1,2,1,1,0,2,0,1,0,0,1,1,0,1,0,2,1,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,1,2,0,1,0,0,1,0,0,1,0,0,1,2,0,2,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,1,1,2,1,1,0,1,0,0,0,2,0,1,0,1,1,2,1,2,0,2,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,1,1,1,1,0,0,0,2,0,2,0,1,0,0,0,0,1,1,0,0,0,0,0,0,2,2,0,0,1,0,0,0,2,1,0,0,0,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,0,2,0,0,2,1,1,0,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,1,1,0,1,0,1,0,2,0,0,0,0,0,0,1,1,0,1,0,2,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,2,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,2,0,0,0,1,2,0,1,1,1,0,1,1,0,1,0,1,0,0,1,0,1,1,2,1,0,0,0,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,0,1,1,1,0,1,0,0,0,1,2,0,0,0,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,1,1,1,0,2,1,1,0,1,0,1,0,1,0,2,1,2,1,1,0,1,1,2,1,1,0,1,0,0,0,0,1,0,1,0,0,0,2,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,2,0,2,1,0,0,0,0,1,0,0,0,0,1,2,0,0,0,1,0,2,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,2,1,1,2,2,1,0,1,0,0,0,0,0,1,0,0,0,2,0,1,0,2,1,0,0,0,2,1,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,2,0,0,2,0,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,2,0,0,0,1,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,2,2,0,2,0,1,0,0,0,0,1,0,2,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,1,1,1,0,0,2,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,1,1,0,1,0,1,1,2,1,0,0,0,2,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1 1,0,0,0,1,1,0,1,0,1,1,1,0,2,1,1,1,1,1,0,0,0,2,0,1,1,1,0,1,0,1,0,0,0,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,2,0,1,1,0,1,2,0,1,1,0,2,0,0,0,0,0,0,1,1,0,2,0,0,2,1,0,1,1,0,0,1,0,2,1,0,0,1,2,0,2,1,1,0,1,1,0,0,2,1,1,0,1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,2,1,1,0,1,1,1,0,1,0,0,0,1,0,0,2,1,0,1,1,0,1,0,1,0,0,1,1,0,2,1,0,1,0,1,0,2,2,1,0,0,2,0,1,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,2,0,0,1,0,0,0,0,0,0,0,1,1,1,2,0,1,0,1,0,1,1,1,0,0,0,2,1,1,1,0,0,1,1,0,2,2,0,1,1,0,1,2,1,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,2,1,2,0,1,1,0,1,2,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,2,1,0,1,0,1,0,0,2,0,1,0,1,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,2,0,0,2,0,2,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,2,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0,2,0,0,0,1,0,2,1,0,0,1,2,0,0,2,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0,1,0,1,1,2,1,2,0,2,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,0,0,0,0,2,1,0,1,2,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,1,0,2,1,1,2,2,1,0,0,0,0,0,2,1,0,0,2,1,0,0,1,0,1,0,2,0,1,0,2,2,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,2,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,2,1,0,0,1,1,0,1,0,0,2,1,0,1,0,0,0,1,1,0,1,0,0,2,0,1,1,0,0,0,0,1,1,2,2,0,1,0,0,1,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,1,1,2,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,0,2,0,0,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,1,1,1,1,0,2,0,0,0,0,1,0,2,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,2,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,1,0,1,2,2,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,2,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,2,1,1,0,0,2,0,0,0,0,1,0,0,0,0,1,0,2,0,1,1,0,0,0,0,0,0,2,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,2,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,2,1,0,1,2,1,0,0,1,0,1,0,0,1,0,1,0,2,1,0,1,1,2,1,0,0,2,0,1,2,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,1,2,0,0,0,0,1,0,0,0,1 1,0,0,1,2,0,1,0,2,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,1,1,0,2,0,1,0,2,0,1,1,0,1,2,2,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,1,2,0,0,0,0,2,1,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,2,1,1,0,0,0,1,0,0,0,2,1,1,0,1,2,2,0,0,0,0,0,0,0,1,2,0,0,1,0,1,0,0,0,1,1,0,1,0,1,2,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,2,1,2,1,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,2,0,1,0,0,0,0,0,0,1,0,1,0,2,2,1,0,0,2,0,0,0,1,0,0,0,0,0,1,1,0,2,1,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,2,1,0,1,0,2,0,0,1,0,1,1,0,1,0,2,1,0,0,0,0,0,0,0,2,0,0,0,2,0,2,1,0,0,2,0,0,2,0,0,1,1,0,1,1,0,1,0,0,1,2,0,1,1,0,1,0,2,2,0,0,2,0,1,1,0,0,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,2,0,1,0,1,0,1,1,0,0,1,2,1,1,0,1,0,1,0,0,0,1,0,2,0,1,0,0,0,0,1,0,1,1,1,2,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,2,1,0,0,0,1,0,1,0,1,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,2,0,2,1,0,0,2,0,0,0,0,1,0,1,1,1,1,2,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,2,1,0,0,0,1,0,1,1,0,1,0,0,1,0,2,1,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,2,0,2,2,0,1,0,1,1,2,0,0,0,0,0,0,1,1,0,1,2,0,0,1,1,0,1,1,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,1,1,0,1,0,0,0,0,2,0,1,1,1,0,2,0,0,2,0,0,1,0,1,0,2,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,2,2,0,1,1,0,0,0,1,0,2,1,0,0,1,2,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,2,1,0,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0,1,2,0,1,0,0,0,2,0,1,1,0,1,1,0,0,1,0,0,0,0,0,2,1,1,0,2,1,0,0,0,2,0,1,2,0,1,1,1,2,0,0,0,1,0,0,0,0,1,1,0,2,1,0,1,1,0,2,0,0,1,0,0,0,0,0,1,1,1,2,1,1,0,1,0,1,2,0,2,1,0,0,1,0,0,0,1,0,1,2,1,0,2,1,0,0,1,0,1,0,2,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,2,0,1,1,0,1,2,0,0,2,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,2,0,0,1,0,1,0,0,1,0,0,2,1,0,1,0,1,0,0,0,1,1,0,0,0,0,2,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,2,1,2,0,1,0,2,0,0,0,0,1,0,0,0,0,0,1,2,1,0,1 1,0,0,1,2,0,0,0,1,1,1,0,0,0,0,0,0,1,2,1,0,1,2,0,0,1,1,2,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,2,2,0,2,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,2,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,0,2,1,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,2,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,2,2,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,1,1,1,0,2,0,2,0,1,0,0,0,1,0,0,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,2,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,1,1,2,1,1,2,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,2,1,0,0,0,1,0,1,1,0,0,0,1,2,1,1,0,1,1,2,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,2,0,0,0,1,2,0,0,1,1,1,0,2,1,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,1,0,0,2,2,0,1,2,0,0,0,0,0,0,1,1,0,0,2,1,2,0,1,0,0,0,0,0,1,1,0,1,1,1,2,1,0,1,0,1,1,0,1,2,1,0,0,1,2,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,2,1,0,0,0,0,0,1,1,0,0,1,1,1,0,0,2,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,2,0,1,0,2,1,0,1,1,0,0,0,0,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,1,0,1,2,1,0,0,0,0,0,0,1,0,0,1,0,1,0,2,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,1,0,0,2,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,1,1,0,1,0,2,0,1,0,1,1,0,1,0,0,1,0,0,0,1,2,0,2,1,0,1,0,0,1,0,0,2,1,0,1,0,0,0,1,0,2,0,2,0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,0,1,2,1,1,0,1,0,1,2,1,0,1,2,0,1,0,0,2,1,1,0,1,1,0,0,0,0,0,0,2,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,1,0,0,0,1,1,1,2,0,0,0,1,1,1,2,0,1,1,1,1,0,1,0,0,1,2,0,2,0,1,2,1,1,0,2,0,0,0,1,2,1,0,2,1,0,1,0,0,2,0,0,0,2,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,1,1,1,1,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,2,1,1,1,0,0,0,2,1,0,1,1,1,2,0,0,1,0,0,1,0,0,1,0,0,0,0,2,1,1,0,0,0,0,0,0,2,0,0,0,0,2,1,0,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0,1,1,0,2,0,0,1,1,0,2,1,1,2,1,0,0,2,2,1,2,0,0,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0,1,1 0,0,1,2,1,0,1,0,0,0,1,0,0,1,0,1,0,0,2,0,0,0,1,0,0,0,1,1,1,0,2,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,2,0,1,2,1,0,0,1,0,0,2,1,0,2,0,0,1,0,0,1,0,1,2,0,0,1,0,2,1,0,2,1,0,0,0,0,1,1,2,0,0,0,2,1,2,2,2,0,1,0,2,0,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,2,0,2,0,1,0,2,0,0,0,0,1,0,0,0,1,0,0,1,2,1,1,1,0,0,1,0,1,1,0,0,0,0,0,2,1,0,1,1,1,0,0,0,0,0,0,0,2,1,1,1,0,0,1,0,2,0,1,1,0,0,2,0,0,0,0,2,0,1,0,2,0,2,1,0,0,0,1,2,0,0,2,1,0,1,0,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,2,0,0,0,0,1,0,1,0,1,1,1,2,0,0,0,0,1,0,0,0,0,1,2,1,0,1,0,2,0,0,1,2,2,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,1,1,1,1,1,0,1,0,2,1,1,0,0,0,1,1,1,1,2,0,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0,2,0,1,2,1,0,0,0,0,2,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,1,0,2,2,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,2,0,2,1,1,1,0,0,0,1,1,0,0,1,1,2,0,0,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,0,0,1,2,2,0,0,0,1,0,0,0,0,2,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,1,1,1,0,1,2,0,1,0,0,0,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,1,0,1,0,1,0,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,2,0,2,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,2,0,1,0,2,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,2,1,2,0,1,0,0,0,1,1,0,0,0,0,0,2,0,2,1,0,0,0,1,0,1,0,1,2,0,1,0,0,0,2,0,2,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,1,2,0,0,0,0,1,0,0,1,0,1,0,0,1,2,0,1,1,0,2,0,0,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,2,2,0,0,1,0,0,2,1,0,2,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,1,1,1,1,0,0,0,1,2,0,2,0,0,1,1,1,0,1,1,1,2,2,0,0,0,0,0,0,1,2,2,0,1,1,0,0,1,1,0,0,0,1,0,2,0,1,2,1,0,0,0,1,1,0,0,1,0,0,0,0,0,2,0,1,0,1,0,0,0,2,2,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,2,1,0,1,1,1,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,2,0,1,1,0,1,0,0,2,2,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,2,0,1,0,0,0,1,0,0,2,2,0,0,0,1,0,0,1,0,0,1,0,2,1,0,0,0,1,0,0,0,0,1,1,1,1,0,0,1,0,0,1,0,0,2,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,2,0,1,1,0,1,1 1,0,1,1,2,1,0,0,0,0,1,0,2,1,1,1,0,1,1,1,0,0,0,0,1,1,1,1,1,1,1,0,1,0,1,0,1,1,1,1,0,2,1,2,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,2,1,0,1,1,0,0,1,2,0,0,0,1,1,1,0,1,0,1,0,0,0,0,1,1,1,1,1,0,1,0,1,1,0,0,0,1,1,1,1,0,2,1,0,1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,2,1,1,1,0,0,0,0,1,1,2,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0,0,1,1,1,2,0,1,1,0,1,0,0,0,2,1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,2,0,1,0,2,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,0,1,0,0,1,0,1,0,1,0,1,2,1,0,1,0,2,0,2,2,0,1,0,0,0,1,0,1,0,0,1,2,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0,1,2,0,0,1,1,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,1,1,1,0,2,1,1,0,0,1,2,1,0,0,0,0,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,2,0,1,1,1,0,0,1,0,0,0,1,2,0,1,1,0,0,2,0,1,0,2,0,0,0,2,1,1,0,0,0,1,1,0,0,0,0,0,0,2,1,1,1,0,1,1,0,0,1,2,0,1,0,1,0,2,0,0,0,0,1,0,1,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,1,0,0,0,2,0,0,1,1,1,1,0,0,1,0,2,2,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,2,1,0,1,0,0,1,1,2,0,0,1,1,0,1,1,0,2,0,0,2,2,0,0,1,0,0,0,1,0,1,0,2,0,1,1,0,0,1,0,1,0,1,1,0,2,0,0,2,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,0,1,0,1,2,0,0,0,1,0,1,2,1,1,0,1,0,0,1,2,1,1,0,1,1,1,0,1,0,1,0,2,0,2,1,0,1,2,1,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,2,1,2,0,0,0,1,0,2,1,1,0,1,0,0,0,0,1,0,0,0,2,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,1,1,1,1,2,0,0,0,0,0,1,1,0,2,0,1,2,1,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,2,2,1,0,0,2,0,0,2,1,2,0,1,0,0,0,0,2,1,1,1,1,0,0,0,1,1,2,0,0,1,1,0,2,1,0,0,0,2,1,0,0,0,1,2,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,1,2,1,0,1,1,0,1,0,1,1,1,2,0,1,1,1,0,0,1,2,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,0,1,0,1,1,2,0,1,2,1,1,0,1,0,1,1,0,2,1,1,1,0,2,0,2,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,2,2,0,1,1,0,0,1,0,1,1,1,0,0,0,0,0,1,0,1,0,1,1,1,0,2,0,0,1,0,0,0,0,0,0,0,1,0,2,2,1,2,0,0,1,2,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1 0,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,2,0,1,0,0,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0,2,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0,0,2,0,0,0,0,0,1,0,2,0,0,1,0,2,0,0,0,1,2,0,0,2,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,2,0,1,2,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,2,1,2,0,1,0,0,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,2,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,1,0,2,0,0,1,0,0,0,2,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,1,2,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,1,0,2,0,1,2,0,0,2,0,0,2,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,2,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,2,0,2,1,0,1,1,0,2,0,1,0,1,1,0,0,0,0,0,2,1,1,1,0,0,0,2,0,0,1,0,0,1,0,2,1,1,0,0,0,0,2,0,2,1,0,0,0,1,1,1,1,2,0,0,0,2,0,0,1,1,1,0,1,0,2,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,2,0,0,0,1,1,0,0,1,1,0,1,2,0,0,1,1,0,0,1,0,0,2,0,1,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,2,0,1,0,0,0,0,1,1,1,2,0,0,1,1,0,2,1,0,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0,0,0,2,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,1,1,0,1,0,2,2,0,1,1,0,1,2,1,0,0,1,0,1,0,0,2,1,0,1,0,1,0,1,1,2,1,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,2,0,0,1,1,1,0,1,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,2,1,1,0,0,0,1,1,1,0,0,2,2,0,1,1,1,1,1,0,0,0,1,1,0,2,1,2,0,1,0,0,0,0,0,0,1,1,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0,2,0,0,1,0,0,1,2,0,0,0,2,0,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,2,1,1,0,0,1,1,1,2,0,0,0,1,2,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,2,0,1,0,1 0,0,1,1,0,0,0,1,1,0,0,0,0,2,1,2,0,1,0,0,0,0,1,0,0,0,1,0,1,0,2,0,1,0,0,0,0,1,0,1,1,1,0,2,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0,1,1,1,0,0,2,0,0,0,1,2,0,0,0,0,0,1,1,0,2,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,2,1,0,0,0,1,1,0,0,1,0,2,0,1,0,0,1,0,0,0,0,0,0,2,2,0,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,2,2,0,2,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,2,1,1,1,0,0,0,0,0,0,1,0,2,0,1,1,1,0,0,0,1,0,0,2,0,0,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,1,2,1,1,0,0,0,0,0,1,0,1,1,2,0,1,1,2,1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,1,2,0,0,0,2,0,1,1,1,2,0,0,0,0,1,0,0,1,0,0,1,2,0,1,0,1,0,0,1,1,2,1,0,0,1,2,0,0,0,0,2,0,0,2,2,0,0,0,1,1,0,1,1,2,1,1,2,1,0,0,1,0,0,0,1,1,0,0,1,0,2,0,0,1,0,1,0,0,1,2,0,0,0,0,2,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,2,0,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,1,2,0,0,0,2,0,1,0,0,1,0,0,0,0,0,0,1,2,1,0,1,0,1,0,1,1,0,0,1,1,2,0,1,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,2,1,1,0,0,2,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,2,0,0,0,1,0,1,0,0,1,1,0,2,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0,2,1,0,0,0,1,0,1,1,1,2,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,1,1,2,0,1,0,0,1,0,2,0,1,1,0,0,1,2,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,2,1,2,1,0,0,2,1,0,0,1,1,0,0,1,1,1,0,0,2,1,0,1,0,0,1,0,0,0,0,0,0,1,2,1,2,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,1,1,1,1,1,1,2,1,0,0,2,0,0,0,1,1,0,0,1,2,0,1,1,1,1,1,0,2,1,1,1,2,2,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,2,0,1,2,0,0,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,2,1,0,0,0,0,0,0,0,0,1,1,1,1,0,1,1,0,0,0,1,0,1,2,1,2,1,0,2,0,1,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,2,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0,1,1,1,1,1,0,0,0,1,1,1,2,0,0,1,1,2,2,1,0,1,0,0,2,1,0,1,0,1,1,2,0,1,0,1,0,0,0,0,0,0,0,1,2,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,2,0,0,0,2,0,0,1,0,1,2,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,2,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,2,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1 0,1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,2,0,1,0,1,1,0,1,1,0,1,0,0,0,2,0,1,0,1,0,0,1,2,2,1,0,1,2,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,1,1,1,2,0,0,2,0,2,2,0,0,1,0,1,0,0,0,0,1,0,1,1,2,1,0,2,0,0,1,0,1,0,1,0,0,0,0,2,1,1,0,0,0,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,2,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,1,1,0,2,0,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,2,2,1,2,0,1,0,2,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,2,1,1,1,1,0,1,0,0,1,2,1,0,0,1,0,0,0,2,0,1,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,1,1,1,1,2,0,0,1,0,1,1,0,1,1,0,1,1,1,0,1,1,2,0,0,0,0,0,0,2,0,0,0,1,1,1,1,1,0,2,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,1,1,1,1,0,2,1,1,1,2,1,2,0,0,1,1,0,0,2,0,0,0,1,0,1,1,0,0,0,0,2,1,1,1,0,0,0,1,1,0,1,1,1,0,2,2,1,0,1,0,0,2,1,2,1,0,0,0,0,0,2,0,1,0,1,1,0,0,0,0,1,2,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,2,1,0,1,0,0,1,0,0,1,0,1,1,0,2,1,0,1,0,0,0,1,1,0,0,2,0,1,0,0,0,1,0,1,0,2,0,2,0,0,1,2,0,0,2,1,0,1,0,1,1,2,1,0,0,0,1,1,1,0,0,1,0,1,0,0,2,0,1,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,1,1,1,1,1,0,0,2,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,2,0,0,0,1,1,0,0,0,0,1,0,1,1,0,2,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,2,2,1,0,1,2,0,0,2,0,0,0,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,2,1,0,0,1,1,2,1,1,1,1,0,1,0,2,0,1,0,0,0,2,1,0,0,1,1,0,0,0,1,0,0,0,2,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,2,1,2,2,0,1,1,0,0,1,0,1,0,0,0,2,0,0,0,0,0,0,2,1,0,0,1,0,1,0,0,1,0,0,1,1,1,0,0,0,0,0,2,0,0,1,1,0,0,0,0,1,0,0,0,0,2,1,0,2,1,0,0,0,1,0,0,0,1,1,1,2,0,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,2,1,0,2,1,2,2,0,0,0,0,1,0,1,0,1,1,0,1,1,0,2,0,1,0,0,1,0,2,1,1,1,0,0,1,0,1,0,0,0,0,1,0,2,1,1,2,0,0,1,2,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,2,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,1,1,0,0,2,2,1,1,0,0,1,0,0,2,0,1,1,0,0,0,1,1,2,1,0,1,1,2,0,1,0,0,1,2,0,0,0,1,2,1,0,0,1 1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,2,1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,1,2,1,0,2,0,1,0,2,2,0,1,1,0,1,1,2,0,1,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,2,1,0,1,0,0,0,1,2,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,2,1,2,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,1,0,0,2,1,2,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,2,0,0,1,0,0,0,1,2,0,0,1,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,2,1,0,1,1,0,1,1,2,1,0,0,2,0,2,0,0,0,1,0,1,0,1,0,0,1,0,1,0,1,1,1,0,0,2,0,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,2,0,1,0,0,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,2,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,1,0,2,0,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,2,0,0,0,0,2,1,0,0,0,0,0,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,1,0,2,0,1,0,0,2,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,2,0,0,2,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,2,0,2,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,2,1,0,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,0,2,2,1,1,0,1,1,1,0,0,1,0,1,1,2,1,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,1,1,1,0,0,1,1,0,0,1,1,1,0,2,1,0,0,0,0,1,1,0,0,2,0,0,1,0,2,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0,1,2,1,1,1,0,1,1,0,1,2,0,2,0,1,0,0,0,2,2,2,0,1,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,1,2,1,2,0,2,0,0,0,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0,1,2,0,0,1,1,1,0,0,0,0,1,1,0,2,0,1,1,1,1,0,1,1,0,1,0,0,0,2,0,1,0,0,0,0,0,2,0,0,2,1,0,1,1,0,0,1,0,0,0,1,2,2,1,1,1,1,2,1,1,1,1,0,0,1,2,1,1,1,2,0,0,2,1,0,0,0,0,0,2,0,1,1,2,1,0,0,2,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0,1,1,1,1,2,1,0,0,0,0,0,2,0,0,1,2,1,1,0,1,1,0,0,2,0,0,1,0,2,1,2,1,2,0,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,2,2,0,1,0,1,2,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,2,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,2,0,0,0,0,0,0,1,0,2,0,0,2,1,0,2,0,0,1,0,0,0,1,1,0,0,0,1,1,2,0,1,1,1,0,1,0,0,1,0,1,1,1,0,1 2,0,1,0,1,0,1,0,1,0,2,1,1,0,1,1,0,1,2,0,0,0,0,0,1,1,1,1,0,0,2,0,1,0,0,0,1,0,0,1,0,0,0,2,0,0,1,0,0,2,2,0,1,0,1,0,0,0,2,1,0,0,0,0,0,0,0,1,1,0,0,1,2,1,0,0,1,1,0,0,0,0,0,1,2,0,2,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,1,0,2,1,0,1,0,2,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,0,2,2,2,1,0,0,0,2,2,0,1,1,1,0,0,2,0,0,0,2,0,0,0,1,1,1,1,0,1,1,2,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,2,1,0,0,0,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,2,1,0,0,0,2,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,2,1,0,0,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,0,0,2,0,0,2,0,1,0,0,1,1,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,2,0,0,0,1,1,2,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,2,1,0,0,1,1,1,1,0,0,0,1,0,2,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,0,1,0,1,0,1,0,2,0,0,0,2,0,0,0,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,2,0,0,1,0,1,0,1,2,1,0,0,0,0,1,0,0,2,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0,2,0,0,1,1,0,1,0,1,0,1,0,1,0,2,2,1,0,0,0,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,2,1,0,0,2,1,0,0,0,1,1,0,0,0,1,1,0,1,0,2,0,0,1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,2,0,1,1,0,0,1,1,0,1,1,2,0,1,0,2,1,0,1,2,1,0,1,2,2,1,0,0,2,2,1,1,2,2,0,0,0,0,0,0,2,2,1,1,1,0,0,1,0,1,2,1,0,1,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,2,2,1,1,0,0,1,0,2,0,1,0,1,1,0,0,1,1,0,0,0,2,1,0,0,0,0,0,1,0,0,2,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,2,1,0,0,0,2,1,0,1,0,1,0,0,0,0,1,0,1,1,1,0,1,1,2,0,0,0,0,0,1,0,1,1,1,2,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,2,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,2,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,2,1,0,1,1,0,0,0,0,1,1,2,0,1,1,1,1,2,1,0,0,0,0,1,0,1,2,0,1,1,1,0,2,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,1,1,1,0,1,2,1,0,1,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,1,2,2,1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,1,1,0,1,1,1,1,0,2,1,1,1,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1 1,0,0,1,1,0,1,1,0,0,0,0,1,2,1,0,0,2,1,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,2,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,2,1,1,1,0,0,0,0,2,0,1,0,1,0,1,2,2,1,0,1,1,0,0,1,0,0,0,1,0,1,2,1,0,1,1,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,1,2,1,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,1,2,1,1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,1,2,0,1,0,1,1,1,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,2,1,1,0,1,0,0,0,0,2,0,2,0,0,0,0,1,1,0,0,0,0,1,2,1,1,0,1,0,0,1,0,0,0,2,0,0,0,2,1,2,0,0,1,0,0,0,2,1,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,2,0,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,2,2,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,2,1,1,1,2,0,0,1,1,2,0,0,0,1,0,2,0,0,0,0,0,1,0,0,1,0,0,2,2,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,1,1,1,1,1,2,0,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,1,2,0,2,0,1,0,0,1,0,1,1,0,0,1,0,2,1,0,2,0,0,2,0,0,1,1,0,2,2,0,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,1,0,1,0,1,0,1,2,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,2,0,0,0,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,2,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,2,0,0,1,1,1,0,1,0,0,2,0,2,0,1,1,0,1,1,0,0,1,0,1,0,0,1,2,1,1,1,1,2,2,1,0,0,0,2,1,1,0,2,0,0,0,2,2,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,2,1,0,0,0,1,0,1,2,0,0,1,0,0,0,1,1,0,1,0,0,2,2,1,0,0,2,0,1,0,1,1,0,2,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0,2,0,1,2,1,2,2,0,0,0,0,0,1,0,1,1,1,1,1,0,1,2,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,1,0,2,0,1,2,2,1,2,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,2,1,2,0,0,2,0,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,2,1,2,0,1,0,1,0,1,0,1,0,0,0,2,1,2,0,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,2,1,2,0,0,2,0,1,1,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,2,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,2,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,0,1,2,1,1,1,1,1,0,0,0,1,0,1,0,1,0,1 0,0,1,0,0,0,0,1,0,0,0,0,2,1,2,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,2,0,1,0,1,0,1,0,0,1,1,1,2,1,0,1,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,2,0,0,0,1,0,0,2,2,0,1,0,1,1,0,0,1,1,1,2,0,0,0,1,0,0,1,2,0,2,2,2,1,1,2,0,0,0,1,1,1,1,0,0,0,1,1,0,0,0,0,1,2,0,0,1,1,1,0,2,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,2,0,0,1,1,1,0,1,1,1,0,0,2,0,0,1,0,0,1,0,1,0,1,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,2,1,1,0,1,1,0,1,1,2,0,0,1,0,1,2,1,0,0,0,1,0,0,2,0,2,0,1,0,1,0,1,0,2,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0,1,2,2,0,2,0,1,2,0,0,0,1,0,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,2,1,0,1,1,1,0,0,2,0,0,1,0,0,1,0,2,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,1,0,2,1,0,2,0,0,0,0,1,0,2,0,0,2,0,1,0,1,1,0,0,0,0,2,0,0,0,1,0,0,2,1,2,0,0,2,1,0,1,1,1,1,0,0,1,0,1,2,1,0,0,0,0,0,1,1,1,1,0,1,2,0,0,0,0,0,0,1,2,0,1,0,1,1,0,1,0,0,0,2,1,0,1,0,0,0,0,1,1,0,1,1,1,0,1,0,1,1,0,2,0,1,0,0,1,0,0,0,0,0,2,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,1,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,2,1,0,1,2,0,0,0,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,2,1,1,2,0,1,0,0,0,1,2,1,0,0,1,0,1,1,1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,2,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,1,2,1,0,1,1,0,1,1,0,2,0,0,0,1,0,0,1,1,0,0,2,0,0,1,1,1,0,1,0,1,1,1,0,0,1,0,2,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,2,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,2,1,0,0,0,2,0,0,0,0,0,0,1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,2,0,0,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,2,1,2,2,1,0,1,0,0,0,0,0,2,1,1,1,0,1,1,1,0,2,1,0,0,0,0,1,0,0,1,0,2,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,1,2,1,1,0,0,1,0,1,2,1,1,0,0,0,0,0,1,1,1,2,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,1,2,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,1,2,0,0,1,0,1,2,0,0,1,0,0,1,0,1,0,2,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,1 1,0,1,0,0,0,0,0,0,1,1,2,1,1,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,2,0,0,0,1,1,2,0,1,1,0,1,0,2,0,1,2,0,0,1,0,0,1,1,1,1,0,0,1,1,1,0,1,2,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0,2,0,0,0,0,1,2,1,1,2,1,1,0,0,0,1,1,0,2,0,2,0,0,0,1,1,1,2,0,0,1,2,0,1,0,0,1,1,2,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0,2,2,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,2,0,1,1,0,0,0,0,0,0,0,2,0,1,1,1,2,1,2,1,0,0,0,0,2,0,0,0,1,0,0,0,1,1,2,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,2,2,1,1,1,0,0,2,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,1,0,1,2,0,0,0,0,1,0,1,2,0,0,0,1,0,0,2,1,2,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,2,0,2,1,0,1,1,2,1,0,1,1,1,2,1,0,0,2,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,0,2,0,0,0,1,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,0,1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,2,0,1,0,0,0,2,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0,2,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,2,0,1,1,0,0,2,0,0,2,1,0,0,1,0,1,0,0,2,1,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,2,1,1,0,0,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,1,2,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,2,0,0,1,1,1,1,1,0,1,0,1,2,1,0,1,1,0,1,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,1,2,0,0,1,1,0,0,1,0,1,0,0,2,0,0,1,0,0,0,0,2,0,2,1,0,1,2,1,0,0,0,0,1,1,1,0,2,0,1,0,1,0,1,0,0,0,2,0,0,0,2,0,0,0,1,0,2,0,0,1,0,2,0,1,1,0,0,1,0,0,2,1,1,0,0,0,1,1,0,2,1,0,0,0,0,1,0,0,2,0,0,0,1,0,1,1,1,0,0,0,0,0,1,1,0,2,1,1,2,0,1,0,1,0,1,2,0,0,0,2,1,2,0,1,0,1,1,2,1,0,0,1,1,0,1,2,0,0,1,1,0,1,0,1,0,0,0,2,0,2,1,0,0,1,0,0,1,1,1,2,0,0,1,1,0,1,1,0,2,0,2,1,0,1,0,0,0,0,1,0,0,1,1,0,0,1,1,2,1,0,0,0,1,0,0,2,1,1,0,2,1,0,0,2,1,0,0,0,0,1,2,0,0,1,2,0,1,0,0,0,0,0,2,0,0,0,1,2,0,1,2,0,0,1,0,0,1,1,0,1,2,0,0,0,0,0,0,0,0,1,1,0,0,2,1,0,0,0,1,1,1,1,1,0,2,0,1,0,0,0,0,0,0,0,0,1,1,0,0,2,0,1,0,0,0,2,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,2,0,1,2,2,2,0,0,0,0,1,0,0,1,1,0,0,0,1,0,2,0,1,0,1,0,0,1,0,2,0,0,2,0,0,1,0,0,1,1,1,0,0,2,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,2,0,0,1,1 1,0,0,2,1,0,2,1,0,1,1,0,1,2,1,1,1,1,1,0,0,1,2,0,1,1,1,1,0,0,0,0,2,0,1,0,1,0,1,0,2,2,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,2,0,1,0,2,0,1,0,0,0,0,0,0,0,0,2,0,1,2,1,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,2,1,0,0,1,0,1,0,0,2,1,1,1,1,0,0,0,0,1,0,2,2,0,1,2,0,0,1,1,2,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,1,1,1,1,2,0,0,1,0,2,1,1,1,1,0,2,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,2,0,0,0,1,0,2,0,0,0,0,0,1,0,0,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,2,0,2,0,1,0,2,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,2,0,1,0,1,1,1,1,0,0,1,0,1,1,0,1,0,2,0,1,0,0,0,0,0,2,2,0,0,0,2,1,1,1,2,1,1,1,2,2,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,2,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,2,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,2,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,2,0,1,1,1,0,0,1,0,0,0,1,0,2,0,1,0,0,1,0,1,2,0,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,2,0,1,1,0,1,1,0,1,0,0,0,1,2,1,0,0,0,0,1,0,1,1,0,0,1,0,2,1,1,1,1,0,2,2,0,2,0,0,0,1,0,0,0,0,0,0,0,1,2,0,0,1,0,0,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0,0,2,1,0,1,0,1,0,0,0,2,1,0,0,0,0,1,0,0,0,0,1,0,2,1,0,2,0,0,0,1,0,1,0,2,1,0,0,1,0,1,0,0,0,1,0,2,0,0,0,0,0,0,1,1,2,0,0,1,0,1,0,0,0,1,1,2,2,2,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,2,0,2,0,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0,0,1,2,0,1,0,1,0,0,1,2,0,2,1,2,1,1,1,0,0,0,0,0,0,0,1,0,1,0,2,0,1,0,1,1,1,2,1,1,0,0,0,1,1,0,2,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,2,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,2,2,1,0,2,0,0,0,1,0,1,1,1,2,2,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,2,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,1,2,1,0,0,0,0,1,0,1,0,1,1,0,1,2,1,1,0,0,0,1,2,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,2,1,2,0,1,1,0,0,0,1,0,2,0,0,2,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,2,1,0,0,0,1,0,0,1,0,1,1,0,0,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1 1,0,2,1,0,0,1,1,0,1,0,1,2,1,1,0,0,0,1,0,0,0,0,0,1,2,1,1,0,1,1,0,2,1,1,0,1,0,0,0,1,1,1,2,0,0,0,0,0,1,1,0,2,0,1,0,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,2,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,2,0,1,0,2,0,1,1,1,0,0,0,0,0,0,0,2,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,2,2,0,2,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,0,0,0,2,2,1,0,0,0,0,0,0,0,0,2,0,1,1,0,0,1,2,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,2,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,2,0,0,1,1,1,1,1,0,0,0,1,0,1,0,0,1,1,1,0,1,1,0,0,2,1,1,0,0,0,0,2,1,0,0,0,2,0,1,1,0,1,1,2,0,1,1,1,1,1,1,0,2,0,1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,0,1,1,1,0,1,0,0,2,0,0,1,0,1,0,2,0,0,1,0,0,2,1,1,0,1,1,0,0,0,0,2,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,2,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,2,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,1,2,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,1,1,2,0,0,2,0,0,0,0,0,1,1,2,1,0,1,0,0,2,1,1,0,1,0,2,0,0,0,1,0,0,1,0,1,1,0,0,0,0,2,1,0,0,0,2,2,1,0,0,2,0,0,2,2,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,2,0,0,1,0,0,0,0,0,2,0,1,2,1,0,0,0,0,1,0,0,0,1,0,0,1,2,2,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,1,2,1,1,0,0,0,0,0,2,0,1,0,0,2,0,1,1,2,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,2,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,1,2,0,1,1,0,1,0,0,0,2,1,1,1,1,1,0,0,0,1,0,2,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,2,0,0,0,0,0,1,0,0,1,1,2,0,2,0,1,1,2,1,1,0,1,0,2,0,2,0,1,0,0,0,0,1,0,1,1,0,0,2,0,0,0,0,0,0,0,2,2,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,2,0,1,0,0,0,2,1,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,2,0,0,2,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,0,0,2,0,0,0,2,1,0,0,0,0,1,0,2,2,0,1,1,1,0,0,0,0,1,1,1,1,2,0,0,0,2,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,1,0,0,2,0,1,0,0,0,1,2,1,0,0,0,0,0,0,0,0,1,1,0,2,1,0,0,1,0,2,0,1,2,0,1,0,2,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,2,1,0,1,0,0,0,0,2,1,2,0,0,0,0,0,0,1,1,1,0,0,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,2,0,0,1,0,2,1,1,0,0,0,1,0,1,0,1,2,0,0,0,1,0,1,2,0,0,1 1,0,0,1,0,0,0,0,1,1,2,0,0,1,1,1,1,1,0,0,1,1,1,0,0,2,2,0,0,0,1,0,0,0,0,0,1,0,0,0,1,2,0,1,0,1,0,2,0,0,2,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,1,0,0,0,0,1,0,0,0,0,0,0,2,0,1,1,0,0,0,0,0,0,0,1,0,2,0,0,1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,1,0,1,0,2,1,0,2,0,0,0,0,2,0,0,0,0,0,1,1,1,2,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,2,1,1,1,0,0,0,1,2,0,1,1,1,1,0,1,0,0,1,0,2,0,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0,0,0,1,0,1,2,0,1,1,0,0,0,0,2,1,0,1,2,1,0,0,1,0,0,0,2,0,1,1,0,1,1,1,0,1,0,1,0,1,1,1,0,0,1,1,1,1,0,0,0,1,0,1,1,1,0,2,1,1,1,0,0,0,1,0,2,1,2,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,1,1,1,1,1,1,0,0,1,2,0,1,0,0,0,1,1,1,1,1,0,2,0,0,0,1,0,0,1,0,2,1,0,0,0,1,1,1,0,1,0,0,0,2,0,0,0,0,1,1,1,0,1,0,0,1,1,1,0,1,2,1,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,2,0,1,1,0,0,0,0,1,0,1,1,0,0,0,1,1,2,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,2,1,1,0,1,1,1,1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,1,0,2,0,0,0,2,0,2,1,0,0,0,2,1,2,0,0,0,0,0,0,2,0,0,2,1,0,1,1,1,1,1,1,0,1,0,2,0,0,1,0,0,0,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,2,2,1,0,0,1,0,0,2,1,0,1,0,0,0,1,0,1,0,1,1,0,1,2,0,1,0,1,1,2,1,0,2,1,0,0,1,1,1,1,2,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,1,0,2,1,0,0,2,0,1,0,2,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,2,1,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,1,2,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,2,1,1,0,1,0,2,1,1,1,0,1,1,0,0,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,1,2,0,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,2,2,0,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,2,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,2,1,0,0,0,1,2,0,2,1,1,1,2,1,0,0,0,1,1,0,1,1,0,2,1,0,0,1,0,2,1,0,0,1,2,1,0,2,2,1,0,0,0,1,0,1,0,2,1,0,1,0,0,0,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,2,0,1,0,2,1,2,0,1,0,0,1,0,0,1,1,2,0,0,0,1,1,0,1,1,1,0,0,1,0,2,0,0,0,1,1,2,1,0,1,0,0,1,1,0,0,0,0,1,0,0,2,0,0,1,0,0,2,2,0,0,1,0,0,0,1,1,2,0,0,1,0,2,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,2,1,1,1,0,1,1,0,0,0,0,0,0,2,0,1,0,1,0,1 1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,2,1,0,1,0,0,0,0,0,1,1,2,1,0,1,1,0,0,1,0,0,2,1,0,1,2,2,1,1,2,0,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,2,0,0,0,0,1,0,1,0,0,0,1,1,0,2,0,0,1,0,0,0,2,0,2,1,0,0,0,1,0,1,0,1,0,0,0,2,0,1,0,0,2,2,1,1,0,0,0,0,0,2,1,2,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,1,0,2,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,1,2,0,1,1,1,0,2,0,1,0,2,1,1,0,0,0,0,0,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,2,0,0,1,0,1,1,1,1,1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,2,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1,1,2,1,0,1,0,2,2,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,2,0,0,0,1,1,1,0,0,0,0,1,1,1,1,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,1,0,2,0,1,1,0,1,0,1,0,0,0,0,1,2,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,2,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,1,0,2,0,2,1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,2,2,0,0,0,1,0,0,0,1,1,0,2,0,0,1,1,0,0,2,1,1,1,1,2,0,0,1,0,0,1,2,0,0,0,0,1,2,0,2,0,1,0,0,0,0,2,0,1,0,0,0,1,0,0,2,0,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,1,0,2,1,0,1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,2,0,2,1,0,0,2,0,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,1,2,0,1,1,1,0,1,1,1,1,0,0,1,1,1,0,1,1,0,1,1,1,1,1,2,1,2,1,2,1,0,0,1,0,0,1,0,0,0,0,1,1,1,1,1,2,0,0,0,2,1,1,0,1,0,0,0,0,0,0,2,1,0,0,1,0,2,1,0,1,1,1,0,0,1,0,1,2,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,2,0,0,0,0,0,0,2,0,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0,2,0,0,0,1,2,1,0,0,0,0,0,2,0,1,0,2,0,0,0,0,0,1,0,0,2,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0,2,0,1,0,0,1,2,1,0,2,0,1,0,0,0,1,2,2,0,2,2,1,0,0,0,0,0,0,0,1,0,1,0,1,0,1,2,2,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,2,1,1,0,0,0,0,1,1,0,2,1,0,1,0,0,0,2,0,0,2,1,1,1,1,1,1,0,0,1,1,0,0,1,1,2,0,2,0,1,0,0,0,2,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,1,1,2,1,0,1,0,0,0,0,2,1,0,1,0,0,0,2,0,0,1,0,1,0,0,1,2,0,0,0,1,0,1,1,0,1,1,0,0,2,0,0,0,2,0,0,0,0,1,0,0,1,0,2,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1 0,0,1,1,1,1,1,1,1,0,2,2,0,0,0,1,0,1,1,0,0,0,1,0,1,0,2,2,0,1,1,0,2,0,0,0,0,1,0,0,1,1,1,2,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,2,0,1,1,1,0,1,0,0,1,0,0,1,1,1,1,2,0,0,2,1,0,0,0,1,0,0,0,1,0,0,1,0,2,1,1,0,0,0,2,2,1,0,1,0,2,0,1,1,1,1,1,0,0,0,0,0,1,1,2,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,1,1,2,0,1,2,2,0,1,0,1,1,1,1,0,1,0,2,0,1,0,0,1,1,0,0,1,0,2,0,0,0,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0,1,1,2,1,0,1,2,1,0,0,0,1,0,0,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,1,0,1,0,2,1,0,0,0,0,0,2,1,0,0,0,1,1,0,2,2,0,1,1,0,0,1,0,0,0,0,0,1,0,2,0,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,2,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,1,0,2,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,2,1,2,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,2,0,0,1,0,1,2,0,0,0,1,1,2,1,0,0,0,1,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,1,2,1,0,2,0,0,0,0,0,0,0,2,1,0,2,0,2,2,0,0,1,1,1,1,0,0,0,1,1,2,1,0,1,2,0,0,1,0,1,0,1,0,2,1,0,0,2,2,0,0,0,0,1,0,2,1,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,2,1,0,0,1,0,2,0,0,2,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,2,1,1,2,1,2,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1,1,1,1,0,1,2,0,2,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,1,1,0,0,0,0,2,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,2,1,0,0,1,0,1,1,0,0,0,0,1,1,1,0,0,1,0,1,1,1,0,2,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,2,2,0,0,0,1,0,1,1,0,1,1,0,2,1,0,1,1,1,0,0,0,2,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,2,1,0,0,0,0,2,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,1,0,2,0,0,0,1,0,2,0,0,0,0,0,0,0,1,2,1,0,2,0,0,0,0,0,1,0,0,0,2,0,2,0,0,1,0,0,2,0,0,1,0,1,0,2,1,0,2,0,0,0,0,0,2,1,1,0,0,0,0,0,0,1,0,1,0,1 1,0,1,2,1,0,0,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,2,0,2,1,0,1,1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,2,2,1,0,1,1,0,1,1,0,2,0,2,0,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0,2,1,0,0,0,1,1,1,0,0,0,0,1,1,0,1,0,2,2,0,0,0,2,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,2,0,0,0,1,0,2,1,1,1,2,0,0,1,0,0,0,1,1,1,1,1,0,2,0,1,0,0,2,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,1,0,0,1,2,2,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,1,0,0,2,0,1,0,1,0,1,0,0,0,0,1,2,1,0,1,0,1,0,0,0,1,2,1,0,1,1,0,0,1,0,0,0,0,2,0,0,0,1,0,1,1,0,2,0,1,1,0,2,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0,2,1,0,0,1,0,0,1,1,2,0,0,0,0,0,0,2,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,2,0,0,2,0,0,0,0,0,1,1,1,1,0,1,2,0,2,1,2,1,1,2,0,0,0,1,0,0,0,0,2,0,0,1,0,0,2,0,0,0,0,1,0,0,2,0,1,0,1,1,1,1,1,1,0,0,0,0,1,2,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,1,1,1,2,0,1,0,2,2,0,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,2,1,0,1,0,1,0,0,0,1,2,0,2,0,1,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,1,1,0,1,0,1,0,2,0,1,1,2,0,0,0,1,0,0,1,1,0,0,1,2,0,2,0,0,0,0,1,0,1,1,0,1,2,1,1,2,0,0,0,0,1,1,2,2,0,1,2,0,1,2,0,0,1,1,0,2,0,0,2,0,0,2,1,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0,1,2,1,0,2,1,0,1,1,0,0,0,0,0,0,1,0,0,1,2,0,1,1,0,2,0,1,0,1,1,1,2,0,0,0,1,1,0,2,1,1,0,1,0,1,0,0,2,1,0,0,1,0,0,1,1,2,0,0,0,1,0,1,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,2,1,0,2,0,1,2,0,1,0,0,1,1,0,0,1,1,2,1,1,1,0,0,0,2,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,1,1,2,1,1,0,0,0,0,0,0,2,2,0,1,1,0,0,0,0,2,0,0,0,0,0,1,0,1,1,2,1,0,0,2,0,0,0,1,0,0,0,1,1,0,0,2,1,0,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,1,1,1,0,0,1,1,1,1,2,0,0,0,0,1,0,0,2,1,0,0,0,1,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,1,0,1,0,2,0,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,2,0,2,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,2,0,0,1,0,2,1,1,1,0,0,1,0,0,0,0,0,1,1,0,1 1,0,0,1,2,0,0,1,0,1,1,2,1,1,2,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,0,1,1,0,2,2,0,2,0,0,0,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0,2,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,2,2,0,0,1,1,0,1,2,1,1,0,1,1,0,0,1,1,1,2,1,2,2,0,1,0,0,1,0,1,0,2,0,0,2,2,0,2,0,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,2,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,1,0,0,2,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,1,0,2,1,1,1,0,0,0,2,1,0,0,0,1,0,2,1,1,1,1,1,0,0,1,0,2,0,2,0,2,1,0,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,1,1,1,2,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,1,0,0,0,0,2,0,1,0,0,1,1,0,0,0,0,0,0,2,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,1,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,1,0,0,1,0,0,2,0,2,0,0,0,0,1,1,2,1,1,1,1,0,0,1,0,1,1,1,0,2,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,2,0,1,0,0,0,0,1,2,2,2,1,0,1,2,0,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,2,0,0,2,0,1,1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,2,1,0,0,1,0,0,1,2,0,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,2,0,0,0,0,0,2,1,1,1,0,0,0,0,0,2,1,1,1,0,0,2,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,2,1,1,1,1,0,1,2,0,0,1,1,0,0,1,2,0,0,0,1,0,2,1,0,0,1,1,1,1,1,0,0,1,2,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,2,1,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,2,1,1,0,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,2,0,0,1,1,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,1,1,0,1,2,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,2,1,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,2,0,0,1,1,1,0,1,0,2,1,2,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,2,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,2,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,2,0,1,2,1,1,1,0,0,0,1,1,1,0,0,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,2,0,0,0,0,1,1,0,1,0,1,1,2,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0,2,0,0,1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,2,0,1,1,1,1,0,0,2,0,1,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0,2,0,1,1 2,1,2,1,1,0,1,1,0,2,2,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,2,2,1,0,0,1,0,0,0,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,2,0,0,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,2,0,2,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,2,1,0,1,0,2,0,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,2,2,2,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,2,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,2,0,2,0,1,0,0,0,0,1,0,0,2,2,1,1,0,1,0,0,1,1,0,1,1,0,2,0,1,0,1,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,2,0,0,0,1,0,0,0,1,1,0,0,0,0,2,0,1,2,0,1,0,0,0,2,0,1,0,0,2,1,0,0,2,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,2,2,0,0,2,0,0,0,0,1,1,0,2,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,1,1,1,1,0,2,1,0,1,0,1,1,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,1,2,0,0,2,0,1,0,0,0,1,0,1,0,0,0,0,0,2,1,0,0,2,1,1,1,1,1,1,1,0,2,1,0,0,0,0,0,0,2,1,2,1,2,0,0,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,2,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,2,0,1,0,1,0,1,1,0,1,1,0,2,1,1,1,0,0,2,1,0,2,1,0,0,0,1,0,2,0,1,1,1,0,2,1,0,1,1,1,2,1,0,0,0,1,1,1,0,0,0,1,2,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,2,0,0,1,1,1,0,1,1,1,2,2,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0,1,2,1,1,0,2,0,1,0,0,2,0,1,1,1,1,0,1,1,0,1,1,0,2,1,0,0,0,0,0,0,1,0,1,2,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,2,0,0,1,2,0,2,0,0,0,0,0,2,0,0,0,2,1,1,0,0,0,0,1,0,1,1,1,1,2,1,1,0,0,1,0,0,0,0,1,2,0,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,2,2,2,0,1,2,0,1,1,1,0,0,1,1,0,2,0,0,0,0,1,2,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,2,0,0,2,1,1,1,2,1,1,2,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0,2,0,1,2,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,1,0,1,1,2,1,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,1,0,0,1,0,0,2,0,2,1,0,2,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,2,0,1,0,1 0,0,1,2,1,0,0,1,0,1,2,0,1,1,2,1,0,0,0,0,0,0,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,1,0,1,1,0,2,2,2,0,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,2,1,0,1,1,0,1,0,0,0,1,2,1,0,0,2,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,2,1,0,1,1,1,1,0,1,1,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,2,1,0,0,1,1,0,1,0,1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0,0,2,0,0,1,2,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1,0,2,0,0,1,1,0,1,2,0,0,2,1,0,1,1,1,0,0,1,0,0,2,1,2,1,2,0,0,0,1,0,2,1,1,2,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,1,1,1,0,0,0,0,1,2,1,0,1,0,0,0,0,0,0,0,0,0,1,2,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,2,0,0,1,1,1,1,0,1,0,2,1,1,0,1,0,0,0,0,0,0,0,0,2,0,1,1,2,0,0,1,1,0,0,0,1,0,2,1,1,0,0,1,0,1,1,2,0,0,1,1,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,2,2,0,1,1,1,0,0,1,1,0,1,0,2,0,0,1,0,0,2,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,2,0,1,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,2,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,0,2,1,0,0,0,0,0,0,1,1,0,0,1,1,0,2,1,0,0,2,0,0,1,0,0,0,1,0,2,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,2,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,1,2,0,0,1,0,0,0,2,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,1,1,0,1,1,1,1,0,1,2,1,0,0,0,0,1,0,1,1,0,0,2,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,0,0,1,0,1,2,2,2,0,2,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,1,2,0,0,0,0,0,2,1,0,1,0,2,2,2,2,0,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,1,1,0,2,0,0,1,0,1,0,0,0,0,1,1,1,0,0,0,2,2,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,2,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,2,0,1,1,0,0,1,1,2,0,0,0,1,0,1,2,0,1,1,1,0,1,0,0,0,0,1,0,1,0,0,1,2,2,1,0,0,0,1,0,1,1,1,1,0,2,0,0,0,2,2,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,2,1,1,1,1,0,1,0,0,1,0,2,1,0,1,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,1,1,1,2,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,2,1,0,1 0,0,0,2,1,0,0,0,0,2,1,0,0,1,2,2,0,1,0,0,1,0,0,1,1,1,2,2,0,0,0,0,1,1,1,0,2,0,0,0,0,2,0,0,2,0,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,1,0,2,0,2,0,1,0,2,0,0,0,0,0,0,1,1,0,1,0,1,1,1,2,0,0,0,1,0,0,1,0,1,1,1,1,2,1,0,0,1,1,2,0,0,2,1,2,0,0,0,1,2,1,1,0,0,0,1,1,1,0,1,1,0,2,0,0,0,1,1,1,1,0,1,1,2,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0,2,2,0,1,1,0,1,2,1,2,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,1,1,2,0,1,0,1,0,1,1,0,1,1,2,0,1,0,2,0,1,1,1,0,0,2,0,0,0,0,0,1,0,1,0,1,1,0,2,1,0,2,1,1,1,0,0,2,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,2,0,1,2,0,0,0,2,1,1,1,1,0,1,0,2,0,0,2,0,2,1,0,0,0,2,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0,2,1,1,1,0,0,1,0,0,2,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1,1,2,2,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,2,0,1,2,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,1,1,1,1,0,0,1,1,0,2,0,0,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,1,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,1,2,1,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,2,1,1,1,0,1,1,0,0,0,2,0,0,0,1,0,0,1,1,0,0,0,1,1,1,2,1,1,2,0,0,0,0,2,0,2,0,2,0,0,0,0,0,0,1,0,2,0,1,0,1,1,0,0,0,2,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,1,0,1,2,0,0,1,1,0,0,2,2,0,0,1,0,0,0,1,0,1,0,1,0,2,1,0,2,1,1,0,1,1,0,0,0,0,1,1,0,0,2,0,1,0,2,1,1,0,0,0,0,1,1,2,1,1,1,1,0,0,1,1,0,0,0,0,0,2,0,1,0,2,0,0,0,1,0,0,2,1,0,0,1,0,0,1,0,2,0,0,1,0,1,0,1,2,0,0,1,0,1,0,1,1,0,0,1,0,1,1,2,2,0,2,1,0,0,2,2,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,2,2,1,1,1,0,0,0,2,1,1,1,1,0,0,1,1,0,1,2,1,1,1,1,0,1,1,0,1,0,1,2,1,0,0,0,0,1,1,0,0,0,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,0,2,0,1,1,1,0,0,0,0,0,0,2,0,0,0,0,0,2,0,1,1,1,1,1,1,0,1,1,1,2,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,1,0,1,2,0,0,0,0,0,2,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,2,1,1,0,0,1,0,1,2,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,2,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1 1,0,0,1,1,1,1,1,0,1,2,1,2,1,1,1,0,2,1,0,1,1,0,0,0,2,0,0,1,1,0,0,0,0,2,0,2,0,1,0,0,2,1,0,1,1,0,1,0,1,2,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,2,2,0,1,1,1,0,1,1,0,1,0,1,1,0,2,2,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,2,1,1,0,0,0,0,1,0,0,2,0,1,0,1,0,0,1,0,0,0,0,0,0,1,2,0,1,0,1,0,0,1,0,0,2,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,1,0,1,0,0,0,0,0,2,0,0,1,0,1,0,1,0,0,2,1,0,0,0,0,1,1,0,0,0,0,2,1,1,1,2,0,1,0,0,2,0,0,1,0,0,0,0,1,0,1,1,0,2,1,0,1,0,0,0,2,0,0,0,1,1,2,0,1,0,0,2,0,1,0,0,0,1,1,0,1,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,1,1,0,2,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,1,0,2,0,0,1,1,1,1,0,2,0,0,1,1,0,1,0,2,0,1,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,2,0,0,0,1,0,0,0,0,0,1,1,0,2,0,0,1,2,2,0,0,1,0,1,0,2,1,1,0,0,0,1,1,0,2,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,2,0,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,2,0,1,0,1,2,0,0,1,0,0,2,1,2,0,0,0,1,0,0,2,1,0,1,0,0,0,1,0,1,0,0,2,1,0,1,0,0,1,0,0,0,0,0,0,2,0,1,1,1,0,2,1,0,1,1,1,0,0,2,1,0,0,2,0,0,0,0,1,0,2,1,1,0,0,0,0,0,0,2,0,2,1,0,0,0,0,0,0,0,1,0,2,2,1,0,0,1,0,0,0,0,2,0,0,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0,2,0,1,2,1,0,0,2,1,0,1,0,1,0,0,1,1,0,1,2,0,2,0,1,1,2,1,1,0,2,0,2,0,2,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,2,1,0,0,1,0,1,1,0,1,2,0,0,0,1,0,2,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,2,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,2,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,1,0,0,1,1,0,2,1,0,0,0,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,1,2,1,0,0,1,0,0,1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,1,1,2,0,0,0,0,0,1,0,0,1,0,0,2,1,0,0,1,0,1,0,0,1,1 1,0,0,0,0,0,1,1,0,0,1,1,0,0,2,0,0,1,0,0,0,1,0,1,2,1,1,1,0,1,1,0,0,0,0,0,2,0,1,0,1,1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,2,0,1,1,0,0,0,0,1,2,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0,0,0,2,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,1,0,2,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,1,2,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0,2,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,2,0,1,0,1,1,0,2,1,0,1,0,0,0,0,1,1,0,2,2,2,0,0,0,0,0,2,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,2,1,0,0,1,1,1,0,0,0,2,0,0,1,1,0,0,2,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,2,2,0,0,0,1,0,0,0,2,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,2,0,0,0,0,1,2,2,1,1,0,0,1,0,1,0,0,0,0,1,1,2,0,0,0,1,2,0,1,1,0,0,0,1,2,0,0,0,0,1,2,1,0,0,2,0,0,0,0,1,0,0,2,1,2,1,1,0,1,1,0,0,0,0,2,1,0,1,2,1,1,0,0,2,1,2,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,2,0,1,0,1,2,0,0,0,0,1,2,0,2,0,1,0,0,0,2,0,2,0,0,0,0,0,2,0,0,2,2,0,1,0,0,1,1,0,1,1,2,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,2,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,2,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,1,0,2,1,0,2,2,1,0,0,0,0,0,1,2,1,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,1,2,0,1,0,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,2,2,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,2,1,1,1,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,2,1,0,2,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,2,0,0,0,1,0,1,1,0,2,1,1,0,0,0,2,2,1,0,1,0,1,0,1,0,2,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,2,1,0,0,1,0,0,0,1,0,0,0,0,1,2,2,0,0,0,2,2,0,0,1,0,1,1,1,0,0,1,2,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,2,0,0,0,0,1,0,0,0,1,0,0,2,1,1,0,0,0,0,0,2,0,0,0,2,0,0,0,1,0,0,0,1,1,1,1,0,1,0,2,0,2,1,1,2,2,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,2,0,1,1,1,0,1,1,1,2,1,1,0,2,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,2,1,0,0,0,2,2,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,2,1,0,1,0,1,0,0,0,1,0,2,0,0,0,1,0,1,1,0,1 0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,2,0,0,1,1,0,0,1,1,0,1,2,2,0,0,1,1,0,1,1,0,0,1,1,1,1,2,1,0,0,1,0,2,0,0,0,0,0,0,1,1,0,0,2,2,0,0,0,0,0,0,2,0,1,0,0,1,1,0,1,0,0,2,1,0,1,0,0,1,0,1,2,1,0,1,0,0,0,0,0,1,0,1,0,2,1,2,0,0,0,1,0,1,1,1,2,0,0,0,1,1,0,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0,2,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,1,1,2,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,1,0,0,2,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,1,0,1,0,0,1,2,0,0,0,0,1,1,0,0,1,0,1,0,2,0,1,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,0,2,1,1,0,2,1,0,0,1,1,0,2,0,0,0,1,1,0,0,0,0,2,0,0,0,0,2,1,0,0,0,1,1,0,1,1,2,0,0,2,2,0,0,0,1,0,2,0,2,0,0,2,1,1,0,1,0,1,2,1,0,0,1,0,2,0,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,1,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,2,1,1,2,0,2,0,0,0,0,1,0,0,0,0,0,1,2,0,0,1,0,1,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,1,1,0,1,2,0,1,1,0,0,0,0,0,0,0,2,0,1,0,1,0,1,0,0,0,2,1,0,2,0,0,0,0,0,1,0,0,0,1,0,2,0,1,1,1,2,2,0,0,1,0,0,0,1,2,0,1,0,0,0,2,0,1,1,0,1,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,0,1,2,0,1,1,1,1,2,0,1,0,1,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,2,0,1,0,0,1,0,0,1,1,0,0,2,1,0,0,1,1,0,1,1,0,2,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,2,0,2,2,2,0,0,0,0,1,1,0,0,2,0,1,0,0,2,2,0,1,1,1,1,1,0,1,1,2,0,2,0,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,2,1,1,2,1,1,0,1,1,2,1,1,0,0,1,0,1,0,0,1,2,0,1,1,2,0,0,1,0,0,1,1,0,2,0,0,0,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,0,1,1,2,0,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0,2,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,1,1,2,2,1,1,0,2,2,0,0,1,0,0,0,0,0,0,2,1,0,1,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,2,1,0,2,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0,1,2,0,0,0,0,1,0,1,1,1,0,0,2,0,0,1,0,0,1,0,1,1,0,1,0,1,0,2,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1 0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,2,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,2,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,1,1,2,1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,0,1,2,0,0,0,1,2,0,1,0,0,1,0,2,1,2,0,0,0,1,0,0,0,0,2,1,0,2,0,1,1,0,0,0,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,1,0,1,0,0,1,1,0,0,0,0,2,2,0,2,0,0,0,0,1,1,0,1,0,2,0,0,0,1,1,1,1,0,0,1,0,0,0,0,2,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,2,0,0,0,2,1,0,2,0,0,2,2,0,1,0,1,1,1,0,0,1,0,0,2,0,0,0,1,0,0,1,0,0,0,2,0,0,2,2,1,0,0,0,2,1,1,1,0,2,2,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,1,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,2,2,1,0,0,2,1,1,0,0,0,1,2,2,0,0,1,0,0,1,0,1,1,0,2,0,1,0,0,2,0,1,0,0,0,0,0,0,1,1,0,2,0,0,1,0,0,1,1,0,0,0,0,2,1,2,1,0,0,0,0,1,1,0,0,0,1,0,1,2,2,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,2,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,1,2,0,1,0,1,0,1,1,1,1,0,1,2,0,1,1,1,2,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,1,1,2,0,0,0,0,0,1,1,0,1,2,2,1,1,0,0,1,1,2,0,1,0,0,0,0,1,0,0,1,0,0,0,2,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0,2,1,1,1,1,0,0,2,2,1,0,2,1,0,1,1,0,0,1,0,0,0,1,1,1,0,1,2,0,0,1,0,1,0,2,0,1,1,1,1,1,0,1,2,0,2,0,2,0,1,0,0,0,1,0,2,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,2,0,0,1,1,0,0,1,1,0,0,2,0,0,0,1,1,2,0,1,2,1,1,1,0,1,2,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,2,1,1,1,0,0,0,1,1,2,0,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0,2,0,1,1,1,0,0,0,0,1,1,2,1,0,1,0,1,1,2,0,0,0,0,1,0,1,0,0,1,0,0,2,0,1,0,0,0,0,0,2,1,0,0,0,2,1,1,2,0,0,1,0,0,1,0,1,1,0,0,0,1,1,1,0,0,1,0,1,2,0,0,1,0,0,0,0,0,0,1,1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0,2,0,2,0,0,0,0,1,2,0,0,1,0,0,0,1,1,1,0,0,0,0,2,1,1,1,1,0,0,0,0,1,0,0,1,1,1,1,0,1,1,2,1,1,0,1,0,1,1,0,1,0,1,0,0,0,2,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0,1,2,0,0,0,0,1,1,1,0,0,1,0,0,0,1,1,0,2,0,0,0,1,0,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,2,0,0,2,0,1,0,0,0,1,1,0,0,1,1,1,1,0,1,2,2,1,0,0,1,0,0,0,0,0,0,2,0,1,0,1 0,0,1,2,0,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,2,1,0,0,1,1,1,1,0,1,2,2,0,0,0,1,0,1,0,1,0,0,0,1,2,2,0,1,1,0,0,0,2,1,2,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,2,1,0,1,0,0,0,0,1,1,0,0,1,2,0,0,1,2,1,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,1,2,0,2,0,1,0,0,1,2,0,0,0,0,0,2,0,0,1,0,0,0,1,0,1,0,1,1,0,1,0,0,1,0,2,0,1,2,0,0,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,2,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,1,0,2,1,1,0,0,1,2,0,0,0,0,1,2,1,0,0,1,0,0,0,0,2,1,1,2,1,0,1,1,0,1,2,1,1,0,1,1,1,0,0,0,0,0,2,0,2,1,0,0,1,1,0,0,0,0,2,0,1,0,0,0,2,0,0,0,0,1,1,1,1,2,1,0,0,0,2,0,1,0,0,0,2,1,1,0,0,0,0,0,1,2,0,0,1,0,0,1,0,0,1,1,1,0,2,0,0,0,1,0,1,2,1,0,0,1,0,2,1,0,1,0,2,0,1,1,1,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,1,2,0,1,1,1,0,1,2,1,1,0,0,0,1,1,0,2,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,2,0,0,0,2,2,1,1,1,0,1,1,0,1,0,2,1,0,0,0,0,2,1,1,0,0,0,2,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,1,0,1,0,1,1,2,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,2,0,0,1,0,0,0,0,1,1,0,2,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,1,0,2,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,1,2,0,1,2,0,1,0,1,0,0,0,2,1,0,1,0,0,2,0,0,0,0,1,0,1,0,0,0,0,2,0,0,1,1,0,0,1,0,0,1,1,1,0,2,0,0,0,0,0,0,2,0,1,1,1,0,1,0,0,0,2,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,2,1,2,1,0,1,0,0,1,0,0,1,0,0,2,0,1,1,0,0,1,0,1,2,2,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,1,0,1,1,0,2,0,0,1,0,1,0,2,1,2,1,0,2,1,0,0,0,0,2,0,2,1,0,0,2,2,0,0,1,1,0,0,1,1,0,2,2,0,0,0,0,2,1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,2,1,0,1,2,0,0,0,0,0,1,0,0,2,1,1,1,0,1,1,0,1,2,0,0,0,0,1,2,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,1,2,0,0,0,1,0,1,0,0,0,1,1,2,0,1,2,1,2,1,0,1,0,0,2,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,2,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,2,1,2,0,0,2,0,1,0,0,0,0,0,1,2,0,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,2,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,2,0,1,1 1,0,0,0,1,0,0,0,2,1,1,0,0,2,0,1,1,1,1,0,0,1,2,0,2,1,0,2,1,1,2,0,0,0,1,0,1,0,0,0,1,2,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0,2,0,0,0,1,2,1,1,2,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,2,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,2,0,1,0,1,0,0,0,0,2,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,2,0,0,0,2,0,0,1,1,0,0,0,0,1,0,0,1,2,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,2,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,1,2,1,0,1,0,1,0,1,2,2,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,2,0,0,0,0,1,1,2,2,1,1,1,0,0,0,0,1,2,1,0,0,0,0,2,1,0,0,0,0,2,1,0,0,1,1,0,2,1,0,1,0,0,1,1,1,0,1,0,0,1,1,2,0,0,2,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0,0,2,2,2,0,1,2,0,0,2,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,2,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,2,0,0,2,1,0,2,0,2,0,1,1,1,2,0,1,0,2,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,2,0,2,1,0,0,0,0,2,1,1,2,2,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,2,1,1,0,1,1,0,0,1,0,0,1,0,2,1,1,0,1,0,0,1,0,1,2,1,0,0,1,0,2,0,1,0,0,2,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,1,2,1,0,1,1,0,0,0,1,0,0,0,0,2,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,2,1,0,0,1,0,1,0,1,0,2,0,1,0,0,2,1,1,1,2,1,1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,2,0,1,0,1,0,2,1,0,0,0,0,1,1,1,2,0,1,0,0,0,0,0,1,0,0,1,1,1,0,1,2,0,0,1,0,0,0,1,1,0,1,1,1,0,0,1,1,1,1,0,1,1,0,2,0,1,0,0,1,0,1,0,2,0,2,1,0,1,2,1,0,2,0,0,1,1,0,1,1,0,2,0,0,0,2,0,0,0,1,1,1,0,1,0,0,0,0,0,2,1,0,1,1,0,0,0,1,1,0,1,1,0,2,0,1,0,1,2,0,2,1,1,0,0,0,1,1,1,0,0,2,1,0,1,1,1,0,0,2,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,2,2,2,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,2,0,0,1,1,1,1,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0,1,1,2,2,0,1,0,0,1,0,1,2,1,1,0,0,0,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,1 0,0,2,1,1,0,0,1,1,1,2,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,1,2,1,0,0,0,0,1,0,2,0,0,0,0,2,1,2,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,2,1,0,0,1,1,1,0,0,1,0,1,0,2,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,1,1,1,1,0,0,1,1,0,1,0,1,1,1,0,2,1,0,1,0,1,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,1,2,0,0,1,0,2,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,1,1,0,2,2,1,2,0,0,1,1,1,0,0,1,0,2,0,0,1,1,2,1,1,1,0,2,0,0,0,0,2,0,0,0,1,1,1,0,1,0,1,2,0,0,2,0,0,0,0,1,0,0,1,0,1,2,0,0,2,0,1,1,0,0,1,1,1,2,0,0,0,0,1,0,0,1,0,0,1,2,0,0,0,1,0,0,1,2,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,2,0,1,1,0,1,0,1,1,1,0,0,0,2,2,0,1,1,1,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,2,1,0,0,1,0,0,2,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,2,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,2,1,1,1,0,0,1,0,2,1,1,0,0,2,1,0,2,0,1,0,0,1,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,2,1,2,1,1,1,0,0,1,0,0,1,2,1,1,0,1,0,1,0,0,0,2,0,0,1,1,1,0,2,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,2,1,1,2,2,1,0,1,0,0,0,0,0,0,2,1,1,1,0,0,0,0,2,0,1,2,0,0,0,0,2,0,2,0,0,0,0,0,0,2,1,0,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,2,0,0,2,0,0,0,0,2,0,0,1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,1,2,1,0,1,0,1,0,2,1,1,1,0,2,0,0,1,2,1,0,2,0,2,1,0,1,0,0,0,1,0,0,0,0,1,0,1,1,1,2,0,0,0,1,1,1,0,1,0,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,1,1,2,0,1,1,1,2,1,0,0,0,0,1,0,2,1,0,0,1,0,1,0,0,0,2,1,1,0,1,0,2,1,1,0,0,0,1,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,2,1,0,0,1,0,2,0,1,0,1,0,1,1,0,1,2,1,1,0,0,1,0,0,0,0,0,0,0,0,2,0,1,2,0,1,0,0,0,1,0,1,0,2,1,2,0,0,0,0,2,0,2,0,1,0,1,1,0,2,1,0,1,0,0,0,0,1,2,2,1,1,1,1,0,0,0,1,0,0,2,1,1,1,1,1,0,0,1,1,2,0,0,1,1,0,1,1,1,1,1,0,0,1,1,0,1,2,0,0,0,0,1,0,2,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,2,0,0,1,1,0,1,0,0,0,2,0,0,2,0,1,1,1,1,0,0,1,0,0,2,0,0,0,0,0,2,1,0,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,1,2,0,1,0,1,0,0,0,1,2,0,0,0,0,1,1,1,2,0,1,0,2,2,0,1,0,0,1,0,1,0,0,1,1,0,1,1,2,1,1,1,0,2,0,1,0,0,0,0,1,0,0,0,1,0,2,0,0,2,1 1,0,1,0,0,0,0,2,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,2,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0,2,0,1,0,1,2,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,0,1,2,0,1,1,1,1,0,0,0,1,2,0,1,0,1,0,2,2,0,1,2,1,0,0,0,1,0,2,0,1,2,0,1,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,1,1,2,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,2,1,0,2,0,0,0,2,0,1,1,0,1,0,1,0,0,0,1,2,1,1,1,2,0,0,2,0,0,1,0,1,0,0,0,0,0,0,2,0,1,2,0,0,2,1,0,0,0,1,1,0,1,0,0,1,0,1,2,1,0,0,0,1,1,1,1,1,2,0,0,2,0,0,1,1,0,2,0,2,2,1,1,0,0,0,0,1,0,1,0,0,1,0,2,0,1,0,0,0,0,1,2,1,1,0,1,1,2,1,1,0,0,0,0,1,1,0,0,2,0,1,1,0,0,0,0,2,0,0,0,1,0,0,2,0,0,1,0,1,0,1,0,1,0,0,1,0,0,0,2,1,1,0,0,1,0,0,0,0,0,0,0,1,2,0,1,0,1,1,0,1,0,2,0,1,1,2,1,0,0,0,0,0,2,0,0,0,0,1,0,1,1,0,0,0,0,0,0,2,0,0,0,2,1,0,1,1,2,0,0,1,0,1,1,0,2,0,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,1,0,1,0,1,0,0,2,1,0,1,0,1,0,0,0,2,0,1,0,1,0,2,1,1,2,1,0,1,1,1,1,0,0,0,1,0,0,0,1,2,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,2,0,0,1,2,0,0,0,0,0,1,0,1,1,0,1,0,2,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,0,1,1,1,0,0,0,2,0,2,0,1,1,0,2,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,1,1,1,0,0,0,2,1,0,2,1,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,2,0,0,1,2,0,0,0,0,1,1,0,0,1,1,0,0,0,0,2,0,0,0,2,1,1,2,0,1,1,0,1,1,1,0,0,1,1,1,0,2,1,0,0,0,0,1,0,2,1,1,0,1,2,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,1,1,0,0,0,1,2,1,0,1,0,1,0,2,0,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,2,0,2,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,2,1,0,1,1,1,1,1,0,0,0,1,1,0,1,2,0,1,2,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,2,0,0,0,0,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,1,1,2,0,1,2,0,0,0,0,0,2,2,0,2,0,1,0,1,1,2,0,0,0,2,0,0,2,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,2,1,0,0,1,0,0,1,2,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,2,0,1,1,1,0,0,0,2,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,2,1,2,0,0,0,0,1,0,1,0,1,2,0,0,0,1,0,0,0,1,0,1 0,0,1,2,0,0,0,1,0,0,1,2,0,2,2,0,0,1,1,0,0,0,2,0,1,1,0,1,0,0,1,0,1,0,1,0,1,2,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,2,1,0,2,2,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0,2,0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,2,1,2,1,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,1,2,2,1,0,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0,2,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,2,0,0,1,1,2,0,2,0,1,0,0,2,1,0,0,2,1,1,0,0,0,0,1,1,0,1,0,2,0,1,1,2,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,2,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,1,0,0,1,0,1,0,0,0,1,2,1,1,0,0,2,0,1,1,2,0,1,0,1,2,1,0,0,0,0,0,1,0,0,0,0,1,0,2,1,1,0,1,0,0,2,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,2,1,0,0,2,2,0,0,0,2,1,1,0,1,0,0,0,1,1,1,0,2,2,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,2,1,1,0,0,0,0,1,1,1,2,0,2,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,2,1,0,1,0,1,1,0,0,0,1,1,0,0,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0,1,0,1,1,1,0,2,2,0,0,0,0,0,1,1,0,0,0,0,0,0,1,2,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,2,0,2,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,2,0,0,0,1,0,1,0,0,1,1,2,0,1,0,2,0,0,1,1,0,1,0,1,0,2,1,0,0,0,1,0,2,1,0,0,0,0,1,2,0,0,2,0,0,0,0,1,1,1,0,1,0,0,1,2,0,1,1,0,0,0,0,0,0,1,0,0,1,1,2,0,0,0,0,1,1,2,0,1,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,2,1,1,0,0,0,0,1,1,0,2,0,0,0,1,0,0,1,1,2,1,0,0,0,0,1,1,0,2,0,0,1,0,0,0,0,1,2,0,0,1,0,0,0,0,2,0,0,0,1,1,0,1,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,1,0,2,0,1,0,2,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,1,1,1,2,0,1,0,2,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,1,0,1,1,1,0,0,1,2,0,0,2,1,0,2,0,1,0,0,0,0,2,0,1,0,2,0,1,0,1,0,1,1,1,0,1,0,0,1,2,0,1,0,1,1,0,0,0,0,2,1,2,0,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0,1,1,1,1,0,2,1,1,0,0,1,1,0,1,1,2,1,0,1,0,2,1,0,0,1,0,1,1,0,0,0,0,0,0,2,1,0,1,1,1,0,1,1,1,1,0,1,0,1,2,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,1,1,2,0,1,1,0,1,0,0,2,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,2,0,0,0,0,1,0,0,2,0,0,0,1,1,0,0,1,0,0,1,0,0,1 1,0,1,2,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,2,2,1,0,0,0,1,2,0,0,2,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,2,2,1,0,0,1,0,0,1,0,0,2,1,1,1,0,0,0,1,1,1,0,2,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,2,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,2,0,1,0,0,0,1,0,2,1,2,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,2,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,2,1,0,0,0,0,0,0,0,1,0,0,1,1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,2,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,1,2,1,2,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,1,2,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,1,0,0,0,2,0,0,1,0,0,0,2,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,2,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,1,0,0,2,1,1,1,0,0,1,0,1,2,0,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,2,1,1,0,0,2,1,1,2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,2,0,0,0,0,2,1,0,1,0,0,2,0,1,1,1,0,0,1,0,2,1,1,1,0,0,0,0,0,2,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,2,0,0,1,0,2,1,0,2,0,0,0,1,1,2,1,0,2,1,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,1,1,1,0,0,1,0,0,2,1,1,0,0,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,2,0,0,1,0,0,0,0,1,2,2,0,0,1,0,0,1,0,1,0,2,0,1,1,0,1,0,0,0,2,1,0,0,2,0,0,0,0,0,0,1,0,2,0,0,1,0,1,2,0,1,0,0,0,1,1,0,1,1,0,1,0,1,1,1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,2,0,0,1,1,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,2,1,0,0,1,1,0,1,0,0,0,0,2,0,1,1,1,0,1,1,0,0,1,0,0,1,0,2,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,1,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,2,1,0,2,0,0,0,1,0,1,2,0,0,1,2,0,0,0,1,1,1,1,0,1,0,1,1,1,0,0,0,1,0,1,2,1,0,0,1,0,0,1,1,0,1,2,1,0,0,0,2,0,1,0,1,1,1,0,0,2,1,0,0,2,0,0,0,1,1,0,2,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,2,0,1,1,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,1,1,2,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,2,0,0,0,1,0,0,1,0,0,2,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1 0,0,2,1,1,0,1,0,1,2,2,1,1,2,1,1,0,2,0,0,0,0,0,0,2,0,1,2,0,1,2,0,2,0,0,0,2,0,0,0,2,1,0,1,1,0,0,1,0,1,2,0,0,0,0,0,2,1,0,0,0,1,2,2,0,0,0,1,1,1,2,0,0,1,0,0,1,2,0,0,0,0,0,1,1,0,0,0,0,1,2,0,0,0,0,0,1,0,1,0,2,1,1,2,1,1,0,2,0,0,0,1,0,1,0,2,0,0,2,1,1,1,0,0,0,0,1,2,1,0,1,2,1,1,0,0,0,0,1,0,2,0,0,2,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,0,2,1,0,1,0,1,1,1,0,0,2,1,0,2,0,0,0,0,1,1,1,0,0,0,0,0,0,0,2,0,1,2,0,0,0,0,0,0,1,2,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,2,0,0,1,0,1,0,0,1,0,1,2,0,0,0,2,0,0,1,1,2,0,0,0,0,2,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,2,0,0,0,2,1,0,0,1,0,1,2,0,0,1,0,1,2,1,0,0,0,0,1,0,1,0,0,0,2,1,2,1,0,2,0,0,1,0,1,0,0,1,1,1,2,0,0,0,0,0,2,1,2,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,1,0,1,2,1,0,0,0,0,1,2,0,0,0,1,1,0,0,0,2,0,0,1,0,0,0,2,0,1,0,1,1,2,1,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,1,1,1,0,0,2,2,0,1,2,2,0,2,1,0,0,1,1,0,1,1,0,0,2,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,2,0,0,2,1,0,2,2,0,0,0,0,1,0,2,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,1,2,0,0,1,0,0,0,0,0,2,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,2,1,0,1,2,0,1,2,0,2,1,1,1,0,1,2,0,1,1,1,2,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,2,1,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0,0,2,0,0,1,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,2,1,1,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,1,1,1,1,1,1,1,0,0,1,0,1,1,2,0,1,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,2,1,0,2,0,1,0,0,1,1,1,0,0,1,0,0,1,0,1,1,2,0,2,1,1,1,0,0,1,0,2,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0,2,0,1,0,0,0,0,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,1,2,0,1,1,1,2,2,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,2,1,1,1,0,0,0,0,1,1,0,0,0,1,1,1,1,1,2,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,2,1,0,2,0,0,1,0,1,1,0,0,1,0,1,0,0,0,2,1,1,2,0,1,0,0,2,1,0,0,0,0,0,0,0,2,0,1,1 0,0,1,1,2,0,2,2,2,1,1,2,0,0,1,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,1,0,0,0,1,0,2,1,1,1,0,0,0,1,1,1,0,2,1,1,1,0,0,0,2,0,0,1,1,1,0,0,0,0,0,1,1,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,2,0,0,1,1,0,0,0,0,0,0,0,2,0,1,0,0,2,1,1,0,1,2,2,0,0,1,2,0,0,0,0,2,0,0,1,0,1,0,1,1,1,1,1,2,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,2,0,1,0,2,0,1,1,0,0,0,0,1,0,0,0,0,0,2,0,2,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,2,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,2,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,2,1,0,1,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,2,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,2,1,1,0,2,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,2,0,0,0,1,0,1,1,1,1,0,1,2,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,2,0,0,0,0,1,2,0,0,0,2,0,0,0,1,1,0,1,2,0,0,1,1,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,2,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,2,1,2,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,1,2,0,0,0,0,0,1,0,2,0,0,0,0,2,0,0,0,1,1,1,0,1,0,1,2,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,2,1,1,0,1,2,1,0,0,0,0,0,1,0,0,1,0,2,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,2,1,0,1,0,0,0,1,0,2,1,0,0,1,1,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,1,0,0,0,0,2,1,0,1,0,0,1,1,2,0,0,0,0,0,0,0,1,2,0,1,0,2,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,2,0,2,0,0,1,0,0,0,0,0,0,0,1,0,2,1,2,1,0,2,1,0,0,1,0,2,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,2,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,1,0,1,1,0,1,1,1,0,2,2,1,0,1,0,2,0,1,0,1,0,0,1,0,2,0,1,0,0,1,1,0,1,0,2,0,0,1,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,2,0,1,0,0,1,0,0,0,0,0,2,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,2,0,0,1,0,0,1,0,0,0,2,0,0,0,1,1,1,2,0,1,1,0,0,1,0,0,2,0,2,0,0,1,1 0,1,1,1,1,0,1,1,0,2,0,0,0,2,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,2,0,0,2,2,0,0,0,0,0,1,2,0,0,2,0,1,1,0,0,0,0,0,1,0,1,2,0,0,0,0,0,2,1,0,1,0,2,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,2,0,1,1,0,1,0,0,1,2,1,0,1,0,2,0,0,1,1,2,0,0,0,1,0,0,0,1,0,2,0,2,0,1,1,0,0,0,0,0,1,2,1,1,1,1,1,1,0,0,0,0,1,0,2,0,0,1,1,1,1,1,2,1,0,0,0,0,2,0,0,1,1,0,0,0,0,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,2,0,1,0,1,1,0,1,1,1,1,1,0,0,2,0,0,0,2,0,1,2,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,1,0,1,0,2,1,0,0,0,0,0,1,0,1,0,0,0,0,0,2,0,2,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,1,1,2,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,2,1,1,1,0,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,2,0,2,1,1,1,0,0,1,1,0,1,0,1,2,1,2,0,2,0,1,0,1,2,0,0,0,0,0,1,0,0,1,0,0,1,0,2,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,2,1,0,2,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,2,0,1,2,0,0,0,1,1,1,1,2,0,0,0,0,0,0,1,1,0,1,1,1,2,0,2,0,1,1,0,0,1,0,0,0,2,0,0,1,1,2,0,2,0,0,0,0,0,0,0,0,1,1,1,2,2,2,1,1,0,1,0,0,0,0,1,1,0,0,2,2,0,2,0,0,2,0,0,0,0,2,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,0,0,2,1,1,1,0,1,0,0,0,1,0,0,1,2,1,0,0,0,0,0,1,2,1,0,0,0,1,0,0,1,1,0,2,0,0,0,0,2,1,1,1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,1,0,1,2,1,0,1,1,1,0,1,0,0,1,2,0,1,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,1,2,1,1,1,1,1,0,0,2,0,1,1,0,0,1,1,0,1,1,0,2,0,1,0,1,0,0,1,0,2,0,1,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,1,0,2,0,0,1,0,2,1,0,0,0,1,1,0,0,0,1,0,1,2,0,1,1,2,1,0,1,0,0,0,2,1,1,1,1,1,0,0,0,1,2,1,0,0,0,0,2,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,2,0,0,1,0,0,0,1,1,1,0,0,1,1,2,0,1,1,0,1,0,0,1,2,0,0,0,2,0,1,0,1,0,1,0,0,0,0,0,0,0,2,1,0,1,1,1,0,0,2,1,1,1,0,0,1,1,0,1,0,0,0,0,0,2,0,0,1,1,0,1,0,0,0,0,2,0,0,1,1,0,0,0,2,0,0,2,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,1,2,2,0,0,1,0,1,0,0,1,2,0,1,1,2,1,0,2,1,2,0,0,0,0,1,0,1,0,0,0,2,0,1,0,0,1,1 1,0,2,1,0,1,0,1,1,1,0,2,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,2,0,0,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0,2,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,2,1,0,0,1,0,2,0,0,2,0,0,0,0,1,1,2,0,1,1,1,1,0,1,1,0,0,0,0,0,2,0,1,1,0,2,1,0,0,0,0,0,2,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,2,1,1,1,1,2,0,0,1,1,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,1,0,2,0,1,1,0,0,0,0,2,0,1,1,0,1,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,1,2,1,1,1,2,1,0,1,1,0,0,0,1,1,1,1,1,1,1,1,0,0,0,1,1,0,2,0,0,0,2,1,0,0,2,1,1,0,0,2,0,1,1,0,0,0,2,0,0,0,1,0,0,0,0,0,2,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,2,0,1,0,1,1,2,0,0,1,0,1,1,0,0,1,1,0,0,2,0,1,1,0,0,1,2,0,2,2,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,2,2,0,0,1,0,0,1,1,0,1,1,1,2,1,0,0,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,1,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,2,1,2,0,0,1,0,2,0,0,1,2,0,0,1,1,2,0,1,0,1,1,0,0,0,1,0,0,0,1,0,2,0,0,0,2,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,2,1,1,1,2,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,1,2,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,1,0,1,1,0,1,1,0,2,1,2,1,2,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,1,2,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,2,0,1,0,0,0,0,1,1,2,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,0,2,0,0,0,2,0,0,0,0,0,1,0,0,1,1,1,1,2,0,1,0,2,0,0,0,2,0,2,0,1,0,0,1,2,1,0,1,0,1,0,0,0,1,0,0,0,2,1,2,0,2,0,0,0,1,0,0,0,0,1,2,0,0,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,2,0,1,0,0,0,1,1,1,1,0,2,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,2,1,0,0,1,0,0,0,1,1,0,1,1,1,0,0,1,0,1,0,1,1,2,1,1,1,0,0,0,0,0,0,0,1,1,0,2,1,1,0,1,0,2,1,0,0,2,2,0,0,0,1,1,2,0,0,0,0,0,1,1,2,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,2,1,0,0,1,2,1,0,0,0,1,0,1,2,0,1,0,1,1,0,2,1,1,0,0,0,1,2,0,0,0,0,1,0,1,0,0,0,0,2,1,1,1,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,2,0,0,1,0,1,0,0,2,0,0,1,0,0,0,0,1,2,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,1 2,0,2,1,0,0,0,1,0,2,1,1,0,1,1,1,0,1,0,0,0,0,0,0,2,0,1,1,2,0,0,1,0,0,0,0,1,1,0,0,1,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,2,0,0,0,2,1,1,2,0,0,1,1,1,0,2,0,0,1,0,0,1,1,0,1,0,2,1,0,0,0,0,1,1,2,0,1,0,2,1,0,0,0,1,0,0,0,2,1,0,0,1,2,1,0,1,1,1,0,1,0,1,0,0,0,2,0,0,0,1,0,1,0,0,2,0,1,1,2,0,1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,2,0,1,0,0,0,0,1,0,2,1,0,1,0,0,0,1,0,0,1,1,0,0,0,1,0,1,2,2,1,0,1,1,1,0,2,0,0,1,0,0,0,0,0,0,1,2,1,0,1,0,1,2,0,0,0,0,1,2,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,1,1,2,0,1,0,0,0,0,2,1,0,0,0,1,1,2,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,2,1,0,0,1,1,1,1,0,1,0,0,2,2,2,1,0,1,0,1,2,1,0,0,2,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,2,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,1,0,2,0,1,0,0,0,1,0,1,2,0,1,0,0,1,0,0,2,0,1,2,1,0,0,0,1,0,0,2,0,0,2,0,0,2,0,0,1,0,1,1,0,0,1,1,2,1,0,0,1,0,2,1,0,0,0,0,1,2,1,0,0,0,0,0,1,2,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0,2,1,0,2,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,2,2,0,0,2,0,1,2,0,1,0,0,2,1,0,1,0,1,1,2,1,1,0,0,1,0,2,0,0,1,0,1,1,0,0,1,2,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,1,1,0,1,2,0,2,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,1,0,1,0,1,1,1,2,0,0,0,0,2,0,1,1,0,0,1,0,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,1,1,2,0,0,1,0,1,0,0,2,0,0,1,0,0,2,2,0,1,0,0,0,2,0,1,1,0,1,0,0,0,1,1,2,2,1,0,1,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,1,1,1,0,0,2,1,0,1,0,1,0,1,0,0,1,2,2,0,0,0,2,0,1,1,0,1,0,1,2,1,0,1,0,0,1,0,0,0,2,0,0,0,1,1,0,1,0,0,1,0,2,1,2,0,1,1,0,1,1,0,0,0,2,1,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,2,2,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,2,0,2,0,0,0,0,1,0,2,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,2,0,0,0,0,0,0,2,1,1,0,2,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,2,1,1,1,0,0,1,1,0,2,0,0,0,1,0,2,0,0,0,0,2,0,0,0,1,1,0,1,0,1,2,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,2,0,0,0,0,2,0,1,2,1,1,0,1,0,0,2,0,1,1,0,0,0,0,1,0,1,0,1,0,2,0,1,0,1,0,0,0,0,1,1,0,2,0,1,1 1,0,1,1,0,0,1,0,2,0,1,1,1,1,2,0,1,1,0,0,0,1,1,0,0,0,0,2,0,0,2,0,2,0,0,0,1,0,1,0,1,0,0,1,1,0,1,1,0,0,1,0,1,0,2,0,0,0,0,2,0,0,0,1,0,0,0,1,1,2,1,0,0,0,1,0,2,1,0,0,0,0,1,0,1,2,1,0,2,0,0,0,0,0,1,2,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,2,0,1,1,2,0,1,1,0,0,0,0,1,2,0,1,1,0,1,0,0,1,0,1,0,2,0,0,1,1,1,0,1,0,0,2,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,2,0,2,0,0,0,0,1,0,0,2,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,2,1,2,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,2,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,2,0,1,1,1,1,1,0,0,0,0,0,2,0,0,0,0,1,2,2,0,0,0,0,1,0,1,1,1,0,0,1,1,0,1,2,1,1,2,1,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,2,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,2,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,2,0,1,0,0,1,0,2,0,0,1,0,0,2,0,1,0,1,1,2,0,1,0,2,0,0,0,0,0,2,0,2,1,2,1,0,0,1,1,0,1,2,0,0,0,0,0,0,0,0,1,1,2,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,1,1,0,1,2,1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,2,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,1,2,0,2,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,1,0,1,2,1,1,2,0,1,1,0,1,2,1,0,0,1,0,0,0,2,1,0,1,1,1,0,2,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,2,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,2,2,1,1,1,1,0,1,0,0,0,1,2,0,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,1,0,2,0,0,0,0,1,1,1,0,2,1,0,2,1,2,0,0,0,0,0,0,2,1,0,1,2,0,2,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,2,0,0,1,0,1,0,0,2,0,1,0,0,0,1,0,0,0,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,1,1,1,1,2,0,0,0,0,0,1,1,1,0,0,1,2,0,2,1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,2,0,1,1,2,1,1,0,2,1,0,1,0,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,2,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,2,0,0,0,0,0,1,0,2,0,0,1,0,0,2,0,1,2,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1 0,0,1,0,0,0,1,0,1,0,0,0,1,2,0,0,0,1,0,0,0,1,0,1,1,2,1,1,0,0,2,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,2,1,0,0,2,0,1,0,0,1,0,0,0,0,1,0,0,1,2,2,1,0,1,1,1,1,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,1,1,0,1,1,0,0,1,0,2,1,1,0,1,0,1,0,0,1,2,1,0,1,0,0,1,0,1,2,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,1,1,2,1,2,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,2,2,0,1,1,0,1,1,1,0,0,1,1,0,1,0,2,0,1,2,1,0,2,0,0,0,0,1,0,0,0,2,2,1,2,0,1,0,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,0,2,2,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,1,0,1,0,1,2,2,0,0,2,1,1,0,1,0,0,0,2,1,0,1,1,0,0,0,0,0,1,1,0,1,0,2,0,0,1,0,0,0,1,2,2,0,1,1,2,0,1,1,1,0,0,1,2,1,0,0,1,0,0,2,2,1,1,0,2,0,2,0,0,2,0,1,0,2,1,1,1,1,0,2,0,0,0,1,0,0,0,0,0,0,0,1,2,0,1,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0,1,0,1,2,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,1,0,1,0,1,0,1,1,0,1,0,2,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,1,2,0,0,0,0,0,1,0,0,2,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,2,1,0,0,0,1,1,0,1,0,1,1,0,1,2,1,0,0,1,1,0,0,1,0,1,0,0,0,1,1,1,0,2,1,0,1,2,2,0,2,1,1,2,0,1,2,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,1,1,0,2,0,0,0,0,0,0,1,1,0,0,0,1,2,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,1,2,0,0,0,1,0,1,1,1,0,1,0,2,1,0,0,0,0,2,0,0,2,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,2,1,0,0,2,0,1,0,1,1,2,0,0,0,0,2,0,0,0,0,1,2,1,0,1,0,1,2,1,0,0,0,1,0,0,2,0,0,1,0,1,1,1,1,2,0,1,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,2,0,0,1,1,0,2,0,0,1,1,0,0,0,0,0,1,1,2,0,1,1,2,1,1,0,1,2,2,1,1,0,0,1,0,1,1,1,0,0,0,1,1,2,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0,1,1,2,1,1,0,0,1,1,0,0,0,0,1,0,0,0,1,1,0,1,0,2,1,0,0,2,0,1,0,0,1,1,0,0,1,0,2,1,1,1,0,0,0,0,1,1,0,1,0,0,0,2,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,2,0,0,1,0,1,0,1,1,0,1,0,0,0,1,2,2,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,2,1,1,0,0,0,0,0,2,1,0,2,0,0,0,0,0,2,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,1 1,0,1,0,0,0,0,0,1,0,1,2,0,0,0,0,1,2,1,0,1,0,0,1,1,0,0,2,1,0,2,0,2,0,0,0,0,1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,2,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,1,2,0,1,0,0,1,0,1,1,0,0,0,1,2,0,2,0,2,1,0,1,1,0,0,0,0,1,2,1,0,1,1,1,0,1,1,0,0,2,1,0,0,1,0,2,0,1,0,0,0,0,1,0,0,1,2,1,0,0,0,0,2,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,2,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,2,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,1,2,0,0,1,2,0,0,2,0,1,1,1,0,0,0,1,0,1,2,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,2,1,0,0,0,1,1,1,1,0,0,2,2,2,0,0,2,0,0,0,0,1,1,1,1,1,1,0,1,0,0,0,2,1,1,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,2,1,1,0,0,1,1,0,1,0,1,1,1,2,2,1,0,1,0,1,0,0,0,0,2,1,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,2,0,1,2,1,1,0,0,0,0,1,1,1,0,0,1,1,0,2,0,0,0,0,0,1,1,1,0,0,1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,2,1,0,0,1,0,1,1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,2,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,1,0,0,0,1,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,2,1,0,0,1,2,0,1,0,1,0,0,0,1,1,0,1,1,1,1,0,0,1,0,0,1,2,0,0,0,0,2,1,0,2,1,1,1,1,1,2,1,1,0,1,1,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,2,0,1,0,0,1,2,2,0,1,1,0,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,1,0,2,1,1,1,1,1,2,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,1,1,0,1,0,1,1,2,2,1,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,1,1,1,2,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,2,1,0,0,0,0,0,1,0,0,0,0,2,0,1,2,0,0,0,0,0,0,0,1,1,0,2,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0,2,1,0,2,1,0,0,0,0,1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,2,0,0,0,0,0,1,2,2,2,0,0,0,1,0,1,0,0,1,2,0,0,1,0,2,0,2,0,1,0,1,0,1,0,1,0,0,2,0,0,0,1,0,2,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,2,0,2,0,0,0,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,1,2,2,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,1,2,0,1,0,0,0,0,0,1,0,0,1,0,1,0,2,1,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1 1,0,1,0,2,0,2,1,0,0,1,0,0,2,1,1,1,1,2,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,1,2,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,2,1,0,0,1,0,0,1,0,0,1,1,1,2,0,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,2,1,0,0,2,2,2,0,0,0,1,1,0,1,2,2,1,0,0,0,0,0,0,1,2,0,2,2,1,0,0,0,0,1,2,2,1,0,1,1,0,0,2,1,0,1,1,0,2,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0,2,1,1,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,1,0,1,1,2,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,2,1,0,0,1,0,0,2,1,0,0,0,1,0,1,0,0,1,0,2,0,1,1,1,0,1,1,1,1,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,1,0,0,0,2,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,2,1,1,1,0,1,0,0,1,0,2,0,0,0,1,1,1,0,0,0,1,1,1,0,1,0,1,0,1,1,0,0,0,2,1,1,0,0,0,0,1,1,1,0,1,1,0,0,0,0,1,2,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0,1,1,1,2,0,1,1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,1,2,1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,1,2,1,0,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0,2,1,0,0,0,1,1,1,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,2,1,2,1,2,0,0,0,0,0,1,0,0,0,0,1,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,1,1,1,1,0,0,0,1,2,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,1,1,1,0,0,1,1,0,0,0,0,2,0,0,1,0,1,1,0,0,1,1,1,0,2,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,2,2,1,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,1,2,0,0,1,0,0,0,0,2,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,2,2,1,0,0,1,1,2,0,0,0,2,0,0,0,0,0,0,1,2,1,0,1,0,0,2,0,0,1,1,0,0,0,2,1,0,1,1,0,0,0,1,0,0,1,1,0,1,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,2,0,1,1,2,1,0,0,2,1,1,2,1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,2,1,0,0,0,0,0,1,0,0,0,0,1,1,0,2,1,1,1,0,0,0,2,0,1,0,0,1,2,2,0,1,1,1,0,1,1,1,1,0,1,2,0,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,2,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,0,1,1,2,1,1,0,0,0,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,2,0,1,1 0,0,0,2,0,0,0,1,2,0,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,1,2,2,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,1,0,2,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,1,0,2,2,0,0,2,0,0,0,0,1,1,2,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,1,2,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,1,0,2,1,0,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,2,0,1,2,0,0,0,0,0,0,0,2,1,0,2,0,0,0,0,1,0,1,1,1,0,1,1,0,2,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,1,1,2,0,1,0,0,1,2,1,0,0,0,0,1,0,1,0,0,0,0,0,2,1,0,0,0,1,1,1,1,1,2,0,1,2,1,1,0,0,0,1,1,2,0,1,1,1,0,1,0,1,1,0,0,0,0,2,1,0,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,2,0,0,0,0,0,1,0,0,0,2,0,0,2,2,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,2,0,2,0,1,1,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,0,2,0,0,0,1,0,0,2,1,1,0,0,0,0,0,1,2,0,1,0,1,0,1,1,2,2,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,2,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,2,0,1,0,0,0,0,0,2,1,1,0,0,0,0,1,1,2,0,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,2,1,0,1,1,0,1,2,0,0,1,1,0,0,1,0,2,0,1,1,1,1,1,1,1,2,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,2,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,1,1,1,0,1,2,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,2,1,0,1,0,1,0,0,1,2,0,0,1,0,0,2,1,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,2,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0,2,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,2,1,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,2,1,0,0,1,0,1,1,0,1,0,0,0,0,0,2,1,1,1,1,1,0,0,0,1,0,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,1,1,0,2,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,1,1,0,1,1,0,2,1,0,0,1,0,0,0,0,1,0,0,0,1,2,2,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,2,2,1,1,0,0,1,1,0,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,1,0,0,1,0,2,0,0,2,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,2,2,2,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1 0,0,1,0,0,0,0,0,0,1,2,0,0,0,1,0,0,1,0,0,0,1,1,0,1,2,0,1,2,1,0,0,1,0,0,0,1,0,0,2,1,1,1,0,2,0,0,0,0,0,2,0,0,0,2,0,2,0,1,1,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,2,0,0,1,1,0,1,2,1,0,1,1,0,0,1,2,0,0,1,0,1,0,1,0,0,2,0,2,1,1,0,0,1,2,1,1,0,2,1,2,0,1,0,1,0,0,0,0,0,0,0,1,1,2,1,2,1,1,1,1,1,1,2,1,0,0,1,1,2,0,1,1,1,0,1,0,0,0,0,1,0,0,0,1,2,0,1,1,0,0,2,0,0,0,1,2,2,1,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,0,2,0,0,0,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,2,0,1,0,1,0,1,0,0,0,2,0,2,2,0,0,2,1,0,2,0,0,1,0,1,0,0,1,1,0,2,1,0,1,2,1,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,1,2,0,1,1,0,0,1,0,2,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,2,0,0,1,0,1,1,0,1,0,1,0,2,0,0,0,1,0,0,1,1,1,0,0,0,0,0,2,0,1,1,0,0,0,0,1,0,0,0,0,1,2,0,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,2,1,0,0,1,2,0,0,1,1,1,0,0,0,0,1,0,0,0,0,2,0,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,2,1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,2,0,1,0,1,1,0,2,1,1,1,0,1,1,1,1,2,0,0,1,0,2,0,0,0,0,0,1,0,0,1,1,2,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0,2,0,1,1,2,0,2,0,0,1,1,0,1,1,1,1,0,0,0,2,1,2,1,1,0,0,0,0,1,1,1,0,1,2,1,0,2,0,0,2,1,2,1,0,0,2,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,2,1,1,1,0,0,1,1,1,0,1,1,1,0,2,1,0,1,0,1,0,1,1,1,0,2,1,1,2,1,1,0,0,0,1,1,2,0,1,2,0,0,1,1,1,1,1,1,0,1,1,0,0,1,2,0,0,0,1,0,2,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,2,0,0,0,2,1,0,0,0,0,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,2,1,0,0,0,2,0,0,1,1,1,0,1,0,0,0,0,2,0,0,1,1,1,2,0,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,1,1,2,2,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0,1,1,1,1,0,1,0,1,1,1,1,1,1,2,1,1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,2,2,0,1,1,0,0,1,1,2,1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0,1,0,1,2,1,0,2,0,0,2,1,0,0,0,0,1,1,0,0,1,0,2,2,2,1,1,1,1,1,0,1,0,1,0,0,1,1,2,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,1,1,1,0,2,1,1,1,2,1,2,0,1,1,0,0,0,2,1,0,0,2,0,2,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,2,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1,2,1,0,1,2,0,0,1,2,1,1,1,0,1,0,0,1,0,2,2,0,0,0,0,1,0,1,0,0,1,0,2,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0,2,0,0,0,0,0,2,0,0,1 1,1,0,1,1,0,1,1,0,1,1,2,0,1,2,1,0,2,2,0,0,0,1,0,0,0,1,1,0,1,0,0,2,0,0,0,0,2,0,0,1,0,2,1,1,0,0,2,1,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,1,0,0,2,0,0,0,2,0,1,0,1,0,0,1,0,0,0,0,1,0,2,0,0,1,0,2,0,0,1,0,2,1,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,2,0,0,2,0,1,1,1,0,0,0,1,1,1,0,1,1,0,2,0,0,0,1,1,0,2,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,2,0,1,0,1,1,1,0,0,0,1,1,1,1,0,1,1,1,0,1,0,1,0,2,0,1,0,2,0,0,2,0,0,1,1,0,2,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,2,2,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,0,2,1,1,1,0,2,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,2,1,1,0,0,1,0,1,0,0,0,0,0,1,2,0,0,0,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,2,0,1,0,2,0,1,1,0,0,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0,2,0,0,1,2,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,0,2,1,0,1,1,2,0,0,0,0,0,0,0,0,1,1,0,2,0,0,1,0,0,0,0,0,0,1,1,1,0,1,1,1,1,1,2,0,2,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,1,2,0,0,1,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,1,1,0,2,0,1,0,0,1,2,0,0,0,0,1,0,0,0,2,0,0,2,1,0,0,0,1,0,1,0,1,1,1,2,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,2,1,0,0,0,0,0,0,2,0,1,0,0,0,2,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,1,1,1,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,2,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,1,1,2,1,1,0,0,0,0,0,2,1,0,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0,2,0,1,1,0,0,2,0,1,1,1,0,1,2,0,0,0,0,0,1,0,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0,2,0,1,0,0,0,1,1,0,0,0,1,2,0,1,1,1,1,0,1,0,0,0,0,1,1,1,0,1,2,1,1,1,0,0,0,0,0,1,2,2,0,0,1,0,0,1,1,2,1,0,0,1,0,2,0,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,1,0,2,0,1,1,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,1,0,0,0,0,0,0,1,2,0,0,0,0,0,1,1,1,0,2,1,2,0,1,0,0,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,1,1,0,2,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,1,2,1,0,1,0,0,0,1,0,0,1,0,1,1,2,0,0,1,0,0,2,0,0,2,0,0,0,0,1,1 1,0,0,1,2,0,1,1,1,1,2,1,0,0,1,0,0,0,0,0,0,0,1,0,2,0,1,2,0,0,2,0,1,0,0,0,2,0,0,0,1,2,0,2,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,1,1,2,0,1,1,0,1,1,1,0,1,1,0,2,1,1,0,2,0,0,2,0,1,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,1,0,2,1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,2,0,1,0,0,1,1,0,1,1,0,1,1,0,2,0,0,0,0,1,0,0,0,0,0,1,1,0,2,0,0,1,0,1,0,0,0,1,0,0,0,2,0,0,1,1,0,0,0,0,0,1,0,1,1,1,0,0,1,2,0,1,0,0,1,0,0,1,0,0,1,0,1,1,2,1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,0,2,0,0,0,0,1,0,2,0,0,0,1,2,0,0,0,0,0,1,0,1,0,0,0,2,2,0,1,0,0,2,2,0,0,0,1,1,0,2,1,1,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,2,0,1,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,2,0,1,0,0,0,1,0,1,0,2,0,1,0,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0,0,1,2,1,0,1,1,0,1,1,1,1,2,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,2,1,0,0,0,0,0,2,0,0,1,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,1,2,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0,2,1,0,2,0,2,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,1,1,1,0,0,2,0,1,1,0,1,1,1,0,0,1,2,0,0,0,1,0,0,0,0,0,2,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0,0,0,0,2,1,1,0,1,0,0,0,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,1,1,2,1,0,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,2,1,2,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,1,2,1,0,0,0,1,0,0,0,2,0,1,0,0,0,2,0,0,0,0,1,1,0,0,0,0,0,1,2,2,0,1,0,0,1,0,0,0,1,1,2,2,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,0,1,1,2,0,0,1,0,0,0,0,0,2,0,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,1,2,0,0,1,2,1,0,0,1,0,0,1,1,2,1,0,1,1,0,0,0,0,0,0,0,1,1,2,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0,2,1,1,1,0,0,0,0,0,0,1,0,1,1,2,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,2,0,0,0,0,1,0,1,0,0,0,0,2,2,0,1,0,0,0,2,1,0,0,2,0,0,0,2,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,2,1,0,2,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1 0,1,1,1,0,0,1,0,1,1,1,0,0,2,2,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,2,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,1,2,0,0,0,1,0,1,1,1,1,0,2,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,1,2,0,0,1,1,0,0,1,1,1,1,0,0,0,0,2,0,1,2,0,1,0,1,1,0,0,0,0,1,0,1,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,2,0,0,2,0,0,2,0,0,0,1,2,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,1,1,2,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,1,2,0,0,0,1,0,2,0,0,0,1,2,0,1,0,1,0,0,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,0,1,1,0,2,0,0,2,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,1,1,0,0,0,0,1,2,0,1,1,0,0,1,1,1,0,1,2,0,0,1,0,2,0,0,1,2,0,0,0,1,0,0,1,0,0,1,0,2,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,2,1,1,1,0,2,2,0,0,1,0,0,0,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,2,0,2,0,0,0,0,1,1,1,0,1,0,2,0,1,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,2,1,0,1,1,0,0,0,0,0,2,1,1,0,0,2,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,1,2,0,0,1,0,0,0,0,2,0,2,1,0,1,0,0,0,1,1,0,1,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,2,2,0,0,2,1,0,0,1,0,1,0,0,0,0,0,0,2,1,0,0,1,0,1,0,2,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,2,0,1,1,0,0,0,0,1,1,0,0,1,2,0,0,1,0,0,1,2,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,2,0,1,2,1,1,1,1,1,0,0,2,0,0,1,0,1,2,0,0,2,1,1,1,2,1,0,0,0,0,2,0,1,1,0,2,1,1,1,0,1,1,0,0,0,0,2,0,1,0,0,0,0,2,0,0,1,0,1,2,0,2,0,2,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,2,0,0,2,1,0,0,1,0,0,2,2,1,0,0,0,1,0,0,1,0,2,0,0,0,0,1,1,0,1,0,0,0,0,2,0,0,2,1,0,0,2,0,2,0,0,0,1,0,0,0,1,1,0,2,0,0,1,2,1,1,0,2,0,1,0,1,1,0,2,0,2,0,1,0,2,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,1,2,0,1,2,0,0,2,0,1,0,0,1,0,1,0,2,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,2,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,2,0,0,1,0,0,1,0,1,1,2,0,0,1,0,1,2,0,0,1 0,0,2,1,0,1,1,0,1,1,2,1,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,2,2,0,0,1,1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,1,1,2,0,0,0,1,1,2,0,0,2,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0,1,1,0,1,0,1,2,0,0,0,1,0,0,2,0,1,1,1,1,0,0,1,1,1,1,0,0,2,1,1,0,1,1,2,1,1,0,0,1,1,1,0,2,1,0,1,0,0,0,0,1,0,2,0,0,0,1,1,1,0,0,0,2,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0,2,0,1,1,0,1,2,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,1,2,2,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,2,0,1,0,0,1,0,0,0,2,0,1,0,1,0,0,0,1,0,1,1,1,2,0,0,2,0,1,2,0,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,2,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,2,0,0,0,0,1,0,1,1,1,0,1,0,1,1,1,0,1,1,1,1,2,0,0,1,0,1,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,1,0,0,0,0,1,1,1,2,0,1,1,1,0,1,1,2,1,0,0,1,0,2,1,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,1,1,2,2,0,0,0,0,0,0,0,0,1,2,1,0,1,1,2,1,2,0,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,2,0,1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0,1,2,2,1,0,1,1,1,0,0,0,0,0,1,1,2,0,1,0,0,0,2,1,0,2,0,0,0,1,1,1,0,0,2,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,2,0,1,0,1,0,1,0,0,0,2,2,0,0,1,2,0,0,1,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0,1,2,0,0,2,1,0,0,0,0,0,0,1,1,0,0,1,0,1,2,1,1,0,0,0,1,0,2,0,1,1,1,1,0,1,1,0,0,2,2,0,0,0,2,0,2,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,2,0,0,2,1,0,0,0,0,0,0,2,0,1,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,2,0,1,0,0,0,0,1,1,0,0,1,1,0,1,1,0,1,0,2,1,0,1,0,0,1,0,0,0,0,1,0,1,2,1,1,1,0,1,1,0,0,0,0,2,0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,2,1,0,0,1,1,0,0,0,1,0,2,0,2,0,0,0,0,0,0,0,1,1,1,1,1,1,2,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,2,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,2,1,0,2,0,0,0,1,2,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,1 1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0,2,1,0,0,2,1,0,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,2,0,1,1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,2,0,1,1,0,0,0,0,0,1,0,1,1,2,0,2,0,1,0,0,1,2,0,0,0,1,1,0,1,0,2,0,0,0,1,1,2,1,2,0,0,0,0,0,1,1,0,0,1,0,0,0,0,2,1,1,0,0,0,0,1,1,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,2,0,1,0,0,0,0,1,0,1,2,0,1,1,0,0,0,0,0,1,0,0,0,1,1,2,0,0,2,1,2,0,1,0,0,1,0,1,0,1,1,0,0,0,0,1,2,2,0,1,0,0,0,1,0,0,0,0,0,0,1,2,0,2,2,1,0,1,0,0,0,0,0,0,1,0,1,0,2,2,1,0,1,0,2,0,0,2,0,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,1,2,0,0,1,2,1,0,2,0,0,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1,2,0,0,1,0,2,0,0,1,1,1,2,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,2,1,0,0,0,2,1,0,0,1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,2,0,0,0,1,0,1,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,1,2,0,1,0,1,1,2,2,1,1,0,1,0,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,2,0,0,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,2,0,0,1,0,1,1,0,1,2,1,1,0,1,0,0,1,1,0,1,1,0,0,1,2,0,0,0,1,0,0,2,1,0,1,0,2,0,1,1,1,0,1,0,0,0,2,0,0,0,1,1,1,0,0,1,0,0,0,0,1,2,1,1,1,2,1,1,1,0,1,1,2,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,1,1,1,0,0,1,1,2,0,1,1,0,1,2,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,2,1,0,1,1,0,1,1,1,0,1,1,2,2,1,1,2,1,0,0,2,1,1,1,1,1,1,1,0,1,1,2,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,2,1,0,0,0,1,2,0,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,2,0,0,0,0,0,1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,1,0,2,1,1,0,0,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,2,0,1,0,1,0,0,0,0,0,1,0,1,1,1,1,1,1,0,0,0,1,0,2,1,0,2,1,2,2,1,0,1,2,0,0,0,1,2,2,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,2,1,0,0,1,0,0,0,2,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,2,0,0,1,1,0,0,2,0,1,1,1,0,1,0,1,0,0,2,0,0,0,1,0,1,1,1,0,0,0,0,1,1,2,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,2,0,1,0,0,1,2,0,0,0,0,0,0,1,0,0,1,0,1,2,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,0,1 0,1,1,0,1,0,2,1,0,0,1,0,0,1,1,2,0,1,0,0,0,1,0,0,2,0,2,0,1,0,0,0,2,2,2,0,1,1,0,0,1,2,0,1,0,1,1,2,1,0,1,1,0,0,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,1,1,0,0,2,0,0,0,0,1,0,2,1,1,1,2,0,1,2,0,0,1,0,2,0,2,0,0,1,0,1,0,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,1,0,2,0,0,1,0,0,0,2,1,0,1,0,1,1,2,0,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0,1,0,1,2,0,2,1,0,1,0,2,0,1,0,0,0,0,1,1,1,1,1,0,1,0,2,0,1,2,0,0,0,1,1,1,0,1,0,1,0,0,2,0,0,0,0,0,0,1,1,0,1,1,0,1,2,0,0,0,0,2,1,0,0,1,0,0,1,2,0,0,0,1,0,0,1,0,0,1,1,0,2,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,2,1,0,0,1,1,0,0,1,0,1,0,2,0,1,1,0,0,0,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,2,0,0,0,1,0,2,2,0,1,1,1,0,2,0,0,0,1,2,0,1,1,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,0,2,0,1,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,1,0,1,1,1,0,2,1,1,0,2,1,1,0,1,0,1,2,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,0,2,0,0,1,0,0,1,0,1,0,0,1,1,1,0,1,0,1,0,2,0,1,1,0,0,2,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,2,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,2,1,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,2,1,1,0,1,0,1,2,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,2,1,1,0,0,1,0,0,0,1,1,1,0,2,1,1,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,2,1,1,2,0,0,1,0,1,2,1,0,0,0,0,1,2,1,2,0,0,0,0,0,1,1,2,1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,2,0,0,0,1,2,0,0,0,0,1,0,0,2,1,2,2,0,0,1,1,0,1,0,0,1,0,0,0,1,0,2,0,2,1,1,0,0,0,0,1,1,1,1,2,1,0,1,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,1,2,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,2,2,2,0,0,1,0,2,0,1,0,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,2,0,0,2,0,0,0,1,1,0,0,0,0,0,2,0,1,1,1,0,2,0,0,1,1,1,0,0,1,2,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,1,0,2,2,1,2,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,2,0,1,1,2,0,0,0,2,1,1,2,1,2,0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0,1,2,2,0,2,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,1,0,2,0,0,2,0,1,0,0,0,0,0,1,2,0,0,1,1,0,0,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,2,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,1,0,2,0,0,1,0,0,0,1,0,1,1,0,0,1,1,1,1,1,0,2,0,0,0,0,0,0,0,0,1,1 0,0,1,0,1,0,0,0,1,0,1,1,0,2,1,0,0,1,0,0,0,1,0,0,2,2,2,0,1,0,2,0,1,0,0,0,0,0,0,0,2,0,0,2,1,0,0,1,0,0,1,0,0,0,1,0,1,0,2,1,0,0,0,0,1,2,0,0,1,1,0,0,0,1,0,0,1,2,0,1,1,0,0,0,0,2,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,1,1,0,1,1,0,0,1,0,1,1,2,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,1,2,2,1,1,2,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,1,2,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,2,0,0,0,1,1,1,0,0,2,0,0,1,0,0,0,1,0,0,0,1,0,1,0,1,1,2,1,1,0,1,1,1,0,0,1,0,0,2,0,1,0,0,1,0,0,0,0,2,1,2,0,2,0,0,0,1,1,1,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,1,1,1,1,1,0,2,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,2,0,0,1,1,0,1,2,0,0,0,0,1,1,1,1,0,2,0,0,0,1,0,0,0,1,0,0,1,2,0,0,2,0,1,0,0,1,1,0,1,0,1,0,0,0,2,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,2,1,0,1,1,0,0,0,1,2,0,0,0,1,0,1,2,0,1,0,2,1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,2,1,1,1,0,0,1,2,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0,2,0,0,1,1,0,1,0,0,0,2,0,0,0,0,2,1,2,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,1,2,1,1,0,2,0,0,1,1,0,2,0,1,0,1,0,2,1,2,1,1,0,1,0,1,1,1,1,0,0,0,1,2,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,1,2,2,1,0,0,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,1,0,0,1,0,1,0,1,2,0,1,1,0,0,1,1,0,0,0,0,0,1,2,0,1,0,1,0,0,0,0,0,0,0,2,0,0,2,1,0,0,0,1,2,2,1,0,0,1,1,0,1,0,0,1,0,0,1,2,1,2,2,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,0,0,1,1,0,2,2,1,0,1,0,1,2,0,1,0,0,2,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,1,0,1,0,2,2,1,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,2,0,0,0,0,1,1,0,0,0,1,0,0,1,2,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,2,1,0,0,0,0,1,1,0,0,2,1,0,0,0,2,0,0,1,1,0,0,0,0,1,1,1,0,1,0,2,1,0,0,0,0,0,1,2,2,0,1,0,1,0,0,1,1,1,0,0,0,2,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,1,0,1,1,2,1,0,2,1,0,0,0,1,2,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,1 2,0,1,0,2,0,0,1,2,1,0,0,0,0,1,0,0,2,0,0,0,1,2,1,1,0,1,1,0,1,1,0,2,0,2,0,1,1,1,0,1,2,0,1,0,1,0,2,0,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,2,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,1,1,2,0,0,0,1,2,1,1,0,0,0,2,0,1,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,2,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,1,1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,1,1,0,2,2,1,0,0,0,0,0,2,0,0,2,0,1,1,0,0,0,0,0,0,0,1,1,2,0,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0,1,1,2,0,0,1,0,1,2,0,0,0,1,1,0,0,1,0,1,2,1,0,0,0,2,1,1,0,0,2,0,1,0,2,1,1,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,1,2,1,1,1,2,0,0,1,0,0,0,1,2,0,0,0,2,0,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,1,2,0,0,0,1,1,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,1,1,1,0,0,0,2,0,0,1,0,2,0,1,0,1,0,2,1,0,2,0,0,0,1,0,1,1,1,0,1,0,0,2,0,0,0,1,1,0,0,2,2,0,0,0,0,0,0,1,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,2,2,0,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,1,0,0,0,0,1,0,2,1,0,0,1,1,2,0,0,1,0,1,0,1,2,0,0,0,1,0,0,2,0,0,1,2,0,1,1,0,0,0,1,0,0,1,0,1,2,0,1,1,0,2,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,2,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,1,1,0,1,1,1,1,1,1,1,0,0,1,2,0,0,0,0,0,0,1,0,0,1,0,0,1,1,2,1,1,1,1,1,2,0,2,0,1,0,0,0,1,0,2,0,1,0,0,1,0,1,1,0,0,1,0,0,0,2,2,1,0,0,0,1,0,0,0,0,0,2,0,2,2,1,0,0,2,0,0,0,0,1,0,0,0,1,1,0,2,1,0,0,0,0,0,0,1,1,1,1,1,1,1,2,1,0,1,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,2,2,0,1,0,0,1,0,0,2,1,0,0,0,1,1,2,1,0,1,1,0,1,2,0,1,0,1,2,2,2,0,0,1,0,0,1,0,0,0,1,0,0,2,0,0,0,0,0,0,0,1,0,0,1,2,0,0,1,0,2,0,0,2,0,0,0,0,0,0,1,0,2,2,0,0,1,0,0,1,2,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1,1,1,0,2,0,1,0,0,2,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,2,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,2,1,0,1,1,0,0,1,2,0,0,0,1,0,0,2,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,2,0,1,0,0,1,0,0,1,0,1,1,0,0,0,1,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1 0,0,1,1,0,0,0,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,2,0,1,1,0,0,0,1,2,0,2,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,1,1,2,0,1,0,1,2,1,0,0,0,2,0,1,1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,2,1,2,1,0,0,0,0,2,2,1,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,2,1,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,1,1,2,0,1,0,0,0,0,0,2,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,2,0,1,1,2,0,1,2,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,1,0,2,1,0,1,2,0,2,0,0,1,0,0,1,0,0,1,1,0,0,0,1,2,1,2,0,1,0,0,0,1,2,1,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,2,1,1,1,0,2,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,2,0,0,2,0,2,0,1,1,0,0,1,1,1,1,1,0,1,2,0,0,0,0,2,0,1,1,2,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,2,0,0,1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,0,0,1,2,1,0,0,0,0,0,1,1,0,1,2,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,2,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,2,2,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,1,0,1,2,0,1,0,1,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,1,2,0,0,1,0,1,0,1,0,0,1,2,0,0,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,2,0,0,0,1,1,0,0,2,0,0,0,2,0,2,2,0,1,2,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,2,0,1,1,0,0,0,2,1,0,0,0,0,0,0,2,0,0,1,0,0,0,2,0,0,1,1,0,1,2,0,1,0,0,0,2,1,0,1,2,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,2,1,1,1,0,0,0,0,1,2,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,2,0,0,1,0,0,1,0,1,0,2,0,1,0,0,1,1,1,0,2,1,2,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,1,0,1,2,1,0,1,1,1,0,1,0,0,0,0,0,0,2,0,1,2,0,0,0,1,0,1,1,1,2,1,2,0,1,1,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,2,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,2,0,0,0,0,1,0,0,2,0,0,1,1,0,0,1,1,2,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1 1,0,1,2,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,2,0,1,0,1,0,0,0,1,0,1,0,1,1,1,1,1,2,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,2,0,0,2,0,0,1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,2,1,0,0,1,1,0,0,2,0,1,2,0,1,2,2,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,2,1,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,1,1,0,0,2,0,1,0,1,1,1,2,0,0,1,2,0,0,0,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,1,2,0,1,0,0,0,0,0,2,1,1,1,2,0,1,0,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,2,1,0,0,0,2,0,2,1,0,1,0,0,2,0,2,2,0,1,0,1,1,2,0,0,1,0,1,0,2,0,0,1,0,1,0,0,0,0,0,1,0,2,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,1,2,1,0,1,2,1,0,2,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,2,1,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,2,1,1,0,0,0,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,2,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,2,0,1,1,2,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,2,0,0,0,2,0,1,0,1,1,0,0,2,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,2,0,2,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,2,0,0,2,0,2,0,0,0,1,1,2,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,0,1,0,2,0,1,0,0,0,1,0,2,2,2,0,0,0,0,2,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,2,0,1,0,1,1,0,1,1,1,1,0,2,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,1,2,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,2,0,0,0,1,0,1,0,0,0,1,1,1,2,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,2,1,2,1,1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0,2,0,0,0,1,0,1,0,0,1,2,1,0,0,0,2,1,2,2,1,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,2,0,0,0,2,0,0,1,1,0,1,0,0,0,1,1,2,1,0,1,1,1,1,2,0,1,0,2,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,2,0,2,1,1,0,0,0,1,1,1,0,0,1,1,1,1,1,0,0,0,1,0,1,2,1,0,0,0,0,2,1,0,0,1,1,0,0,0,1,0,0,0,0,1,2,1,1,1,2,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,2,1,1,2,0,1,1,0,0,1,1,0,0,0,1,1,0,1,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,2,1,1 0,0,2,1,2,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,2,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,2,0,2,0,0,0,2,0,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,1,1,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,1,0,1,0,2,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,2,0,1,0,0,2,0,1,0,0,2,0,2,1,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,2,0,2,1,0,0,1,0,0,1,0,1,0,1,0,0,2,0,0,1,1,1,0,0,0,0,0,0,0,1,2,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,2,0,0,0,0,1,1,0,0,1,1,0,0,1,0,2,1,0,0,0,0,0,0,0,0,1,0,0,2,2,0,0,0,1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,2,1,0,0,2,2,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,2,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,1,0,1,2,1,2,1,0,1,0,0,1,2,1,1,0,2,0,0,1,2,0,1,0,0,0,0,0,1,1,1,1,0,0,0,1,1,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,2,0,2,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,2,0,1,0,1,1,1,2,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,1,0,2,1,1,1,2,1,0,1,1,1,1,0,0,0,2,1,0,1,2,0,0,2,2,1,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,2,1,0,1,1,0,0,0,0,0,0,0,0,0,2,0,1,2,1,2,0,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,2,0,1,0,1,2,1,0,0,1,2,0,0,0,0,0,0,0,1,1,0,1,0,1,2,0,0,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,2,1,0,1,0,0,1,0,2,0,1,0,1,1,1,0,1,0,0,0,0,0,1,1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,2,0,2,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,2,2,0,0,0,1,0,1,1,2,1,1,0,0,2,0,0,1,1,0,1,1,1,0,0,0,1,2,0,0,0,0,1,1,0,0,1,1,1,0,0,2,0,1,2,2,1,0,0,0,0,0,2,2,0,1,0,1,0,1,1,0,2,0,0,0,0,1,1,2,1,0,0,2,1,0,0,2,1,1,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,1,0,1,0,2,1,0,0,0,0,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,1,1,0,0,0,0,1,1,2,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,1,2,0,1,0,0,1,0,0,2,0,0,1,0,1,1,0,1,0,1,0,2,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1 1,0,1,1,1,1,0,1,1,1,1,1,1,2,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0,2,1,0,1,0,0,1,0,0,1,2,0,1,1,0,0,1,0,1,2,0,0,1,0,0,1,0,0,0,1,0,2,1,1,0,1,2,0,0,1,0,0,0,1,0,0,2,1,0,2,0,2,0,0,1,0,1,1,1,1,0,0,0,0,1,1,1,2,0,0,2,0,1,1,0,0,1,0,0,1,0,0,2,0,1,1,0,0,0,0,0,1,1,1,0,2,1,0,0,0,1,1,2,1,0,0,1,0,0,1,0,1,2,1,0,0,0,1,0,0,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,2,0,0,0,0,0,1,1,0,0,2,0,2,2,0,1,0,1,0,1,2,0,0,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,2,0,1,1,1,0,0,2,0,1,0,1,0,2,0,0,0,0,1,0,0,1,1,0,1,2,0,0,0,0,1,1,0,2,0,0,0,0,0,0,0,2,1,0,2,0,1,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,2,1,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,1,0,2,1,2,1,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,0,0,2,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,2,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0,2,0,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,2,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,2,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,2,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,2,2,0,1,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,1,0,0,1,0,0,2,0,0,0,1,0,0,1,2,1,0,0,1,1,0,0,0,2,1,0,0,1,0,1,0,2,0,1,1,1,1,2,0,1,0,0,1,0,0,0,0,0,0,1,0,0,2,0,0,1,0,1,1,0,0,2,0,0,0,0,0,0,0,2,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,1,2,0,0,0,0,1,0,1,0,0,1,0,0,1,0,2,1,0,0,2,0,2,0,0,1,1,1,2,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1,2,2,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,2,0,0,1,0,0,1,0,0,1,1,1,0,1,1,0,0,1,1,0,1,0,1,2,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,1,1,0,0,1,1,0,2,0,0,0,2,0,0,0,0,2,1,0,1,0,0,1,0,0,1,2,0,1,1,1,1,1,0,0,0,0,1,2,0,0,0,0,1,2,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,2,0,1,0,0,1,1,0,0,2,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,1,2,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,2,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,2,0,1,2,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,2,2,0,0,0,0,0,0,1,0,1,1,0,0,1 2,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,2,0,1,0,2,1,0,0,1,0,0,0,0,0,1,2,0,2,2,0,0,0,0,0,0,0,0,1,0,0,2,0,0,2,0,1,0,1,1,0,0,1,1,2,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,1,0,0,1,2,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,2,1,1,1,1,0,0,0,1,0,1,1,0,2,0,0,2,0,0,0,0,2,2,0,0,1,1,0,0,0,1,0,0,2,0,1,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,1,0,2,0,1,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,2,0,1,0,1,2,0,0,0,0,0,1,0,1,0,2,1,0,1,0,0,1,2,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,1,1,0,0,2,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,1,0,0,2,1,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,1,1,2,0,1,1,1,0,1,0,0,1,0,0,1,1,0,2,0,1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,2,2,0,1,2,1,0,1,1,1,0,2,1,0,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,2,0,0,2,1,1,0,0,0,0,0,1,1,0,0,2,1,0,0,1,1,2,0,0,0,0,0,1,0,2,0,0,1,0,0,0,1,2,0,1,0,0,1,0,0,1,0,0,1,0,1,0,1,0,1,2,0,2,0,0,0,1,0,1,0,0,1,1,0,0,2,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,0,1,0,1,2,0,0,0,2,2,1,0,0,2,1,1,2,1,0,1,0,0,0,2,0,0,0,0,1,0,1,0,0,1,1,1,1,0,1,2,0,0,0,1,1,1,0,1,0,1,0,2,1,1,2,1,1,1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,2,0,1,1,2,0,0,1,0,0,1,0,0,0,0,0,1,1,1,1,1,0,0,1,2,2,1,0,1,1,0,0,0,0,0,1,2,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,0,1,1,1,0,1,1,0,0,2,2,0,0,1,0,0,1,1,0,2,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,2,0,0,1,0,2,2,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,1,1,0,0,1,0,2,0,1,1,1,0,2,1,1,0,0,0,1,0,0,0,1,1,0,0,2,0,2,0,0,1,0,0,1,0,0,0,0,2,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,1,1,1,0,0,0,0,2,0,1,1,0,0,1,0,1,1,1,0,0,1,2,1,0,2,1,0,0,1,0,0,0,1,1,0,2,0,0,1,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,2,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,2,0,1,0,0,1,0,0,0,0,1,2,1,2,0,1,0,0,0,2,0,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,2,0,0,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,1,2,0,1,1,1,1,0,0,2,1,0,1,0,1,0,1,1,2,1,0,0,1,1,1,1,0,0,0,1,0,0,2,0,0,1,0,1,1 2,0,0,2,1,0,0,0,1,2,2,1,1,0,1,0,0,0,0,0,1,1,0,1,1,2,1,1,0,1,1,0,0,1,0,0,0,1,0,0,2,0,0,1,1,0,0,2,1,0,1,0,1,0,0,0,0,0,2,1,0,0,0,1,0,1,0,2,1,0,1,0,2,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,2,1,0,1,1,1,0,2,0,1,1,0,2,1,0,1,0,1,0,0,0,0,1,0,1,0,2,2,0,1,1,1,1,0,2,1,0,1,0,0,0,1,2,0,0,0,0,1,0,0,0,1,2,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0,2,0,1,0,0,0,1,1,1,0,1,1,1,0,2,1,0,0,1,1,0,0,2,0,0,0,0,1,0,0,1,2,1,2,0,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,2,1,1,0,0,2,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,2,0,1,0,0,0,2,0,0,0,0,0,0,0,0,1,0,2,2,0,0,1,0,1,0,0,1,0,1,1,1,1,1,0,2,0,2,0,1,1,0,0,0,1,1,0,0,0,0,1,1,2,0,0,0,0,1,0,0,0,0,0,1,0,1,2,2,1,0,1,2,1,0,0,2,1,0,2,0,1,1,0,1,1,2,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,1,2,1,0,0,1,0,0,0,1,2,1,1,1,0,0,0,0,1,1,0,0,1,0,2,0,1,1,0,0,1,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,1,0,1,1,1,2,1,1,1,1,2,0,1,0,0,1,1,0,0,1,1,0,0,0,2,0,1,0,0,0,0,0,2,1,1,1,1,1,0,1,0,2,1,1,1,0,2,0,0,0,1,1,0,0,0,1,0,2,0,1,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,2,0,0,0,1,2,0,0,0,2,1,1,2,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,2,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,2,1,1,0,0,1,0,0,1,0,0,1,1,0,1,2,0,0,1,1,0,1,1,0,1,1,0,1,0,0,2,0,2,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,0,0,0,1,0,1,0,0,1,0,0,1,0,0,2,0,0,1,2,1,0,1,0,0,1,2,0,1,1,1,0,2,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,2,1,1,0,1,1,2,0,0,0,1,0,0,1,0,1,0,2,0,0,1,0,2,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,1,0,1,0,1,1,0,1,0,1,0,2,0,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,2,0,0,2,1,1,2,2,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,2,0,0,1,0,0,1,1,0,2,2,0,2,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,0,1,0,1,1,1,1,0,0,2,1,0,1,0,0,0,2,0,1,0,1,0,2,0,1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,2,0,0,0,1,0,0,2,1,2,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,2,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,2,0,0,1,0,0,2,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1 1,0,2,2,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,1,2,0,0,2,0,0,1,1,0,2,1,1,0,1,1,0,1,2,2,0,0,0,1,0,0,1,0,2,0,1,0,2,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,2,0,2,0,2,0,1,0,0,0,0,0,1,2,0,0,2,1,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,0,0,1,0,2,0,1,0,1,0,0,2,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,2,1,0,0,1,2,0,1,2,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,2,1,0,1,0,0,2,0,1,0,1,0,1,2,0,0,1,2,0,2,1,1,0,0,2,0,1,1,1,1,1,1,0,1,1,1,0,2,1,0,0,0,1,0,0,1,0,0,1,1,0,1,2,0,0,1,0,0,0,0,1,2,0,0,1,1,0,1,1,1,0,0,0,0,2,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,2,0,0,1,1,0,1,0,0,2,1,0,2,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,2,1,0,1,2,0,0,0,1,1,1,1,0,1,1,0,1,1,0,1,1,1,2,0,0,2,0,1,1,0,0,1,1,1,1,0,0,0,0,2,0,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,1,2,1,1,0,0,0,0,0,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,2,1,0,1,0,0,0,0,2,1,1,2,0,0,0,0,0,1,1,0,1,0,1,0,2,0,0,0,0,1,1,2,0,1,2,1,2,1,1,0,0,0,0,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,1,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,2,1,0,1,1,0,0,2,0,0,0,0,0,0,1,2,1,1,0,0,2,1,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,2,0,1,0,0,1,1,2,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,2,0,1,1,2,1,0,1,0,1,0,2,0,0,0,0,0,2,0,0,1,1,1,0,2,0,0,0,0,0,1,1,2,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,2,1,0,1,0,0,0,1,0,1,0,0,1,2,1,1,1,1,1,1,0,0,1,0,0,1,1,2,2,2,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,1,0,1,1,0,0,2,1,0,0,0,2,0,0,1,0,1,0,0,0,0,1,0,2,1,0,0,0,0,1,0,1,0,1,1,2,0,1,1,1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,2,0,1,0,0,0,1,0,0,1,2,1,0,1,2,1,1,1,2,0,0,0,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,1,0,0,1,2,0,1,0,0,1,0,1,2,0,0,0,1,0,0,1,1,1,1,0,1,0,0,0,0,2,1,0,0,0,0,1,0,1,1,2,0,1 2,0,0,0,0,0,0,2,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,1,2,0,0,0,1,0,1,0,1,0,0,1,1,0,2,1,0,1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1,2,1,2,1,0,0,0,0,1,1,0,2,0,1,0,1,0,0,0,1,1,0,2,0,0,0,0,0,0,1,1,0,1,1,1,2,0,0,2,0,0,1,0,0,2,0,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,2,0,1,0,0,0,0,0,0,1,2,1,1,0,0,1,1,0,2,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,2,1,0,1,0,0,0,0,0,0,1,0,1,0,1,1,1,1,1,0,2,0,0,0,0,1,0,2,1,2,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,1,1,1,1,0,2,0,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,2,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,1,0,0,1,1,0,2,0,1,2,0,0,0,1,1,2,0,1,0,2,0,2,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,2,0,0,1,1,1,0,0,0,0,1,0,2,1,0,0,2,0,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,1,1,0,2,0,1,1,0,1,1,0,0,0,1,2,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0,0,0,2,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,1,1,0,2,0,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,2,1,0,1,0,2,1,1,1,0,0,1,0,1,0,1,2,0,0,0,0,1,0,0,0,0,2,1,1,0,1,0,0,0,2,1,0,1,0,0,2,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,1,1,1,0,0,1,0,0,2,1,1,0,0,1,0,1,1,1,0,1,0,0,2,1,0,1,2,1,0,2,0,0,2,0,0,0,2,1,0,1,0,1,1,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,2,2,1,1,1,1,0,0,1,1,0,0,2,1,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,1,0,0,1,1,1,2,1,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,2,0,1,1,1,0,0,1,0,0,0,0,0,2,0,1,2,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,2,1,1,2,1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,2,1,0,1,1,0,1,0,1,2,0,1,0,0,0,1,2,2,1,1,1,0,2,2,0,0,0,0,1,1,0,2,0,0,0,0,0,0,0,0,1,2,0,0,1,0,2,0,0,0,1,0,0,0,0,1,0,0,1,2,0,0,1,1,0,0,1,0,1,2,0,0,0,1,1,0,0,2,0,0,0,2,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,2,1,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,2,1,0,1,0,0,1,0,1,0,0,1,0,0,2,0,0,1,0,1,0,2,0,2,1,0,1,1,2,0,0,0,0,1,0,0,0,0,0,2,0,1,0,1 1,0,0,2,0,0,0,1,1,0,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,2,1,0,1,0,0,0,1,0,0,0,2,0,2,0,1,2,1,0,0,0,0,1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,2,1,0,1,1,0,0,2,1,0,0,1,1,1,0,1,0,0,0,0,2,0,0,0,1,0,1,1,2,0,2,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,2,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,2,0,0,1,0,0,0,0,2,0,1,0,0,1,2,0,2,0,0,1,0,0,0,0,1,0,0,0,1,0,2,0,0,1,1,1,2,0,0,1,2,1,0,0,0,0,1,1,1,0,0,0,2,0,0,2,0,1,1,0,0,1,0,0,0,1,1,2,1,0,1,0,0,0,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,2,2,0,1,0,0,0,0,1,1,1,2,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,2,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,2,0,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0,2,1,0,0,1,0,2,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,1,2,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,2,1,2,1,1,0,1,1,1,1,1,0,1,1,0,2,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,2,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,1,2,1,0,0,0,1,0,0,0,1,0,1,1,2,0,0,0,1,1,1,1,0,0,1,0,0,0,0,2,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,1,1,0,1,2,1,1,1,1,2,0,1,1,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,1,0,0,1,0,2,1,0,0,1,0,1,1,1,0,1,0,0,2,1,0,1,0,1,1,0,1,1,0,1,0,1,0,2,0,1,0,0,0,0,2,0,2,0,1,0,1,1,1,0,1,0,0,0,1,0,1,2,1,0,1,0,1,0,0,1,0,1,0,2,1,0,1,1,0,1,0,1,2,2,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,1,0,0,0,1,0,1,0,2,0,1,1,0,1,0,0,1,1,0,1,0,0,0,2,0,1,1,0,0,1,1,0,0,0,1,0,2,1,0,2,0,0,1,2,0,0,0,1,0,0,0,0,1,0,2,0,1,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,1,1,0,1,1,0,1,2,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,2,0,0,2,1,0,0,1,2,0,1,1,0,1,0,1,0,0,0,2,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,2,0,0,0,1,1,1,0,1,1,1,0,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,1,2,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,2,0,0,1,0,0,0,1,1,2,0,1,1,1,1,2,0,1,1,0,1,0,0,1,0,1,1,1,0,1 2,0,2,1,0,0,1,0,0,0,1,0,1,1,0,0,1,2,1,0,0,0,0,0,0,1,1,0,0,2,0,0,2,1,0,0,1,1,0,0,0,1,2,1,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,1,1,0,0,0,0,2,1,2,1,1,0,1,1,0,2,0,0,0,2,1,0,1,0,1,1,0,1,0,1,0,1,1,1,2,0,0,0,0,0,0,2,0,1,1,0,1,0,0,1,0,1,2,0,1,1,0,1,0,0,0,0,1,0,2,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,2,2,1,1,2,0,0,2,1,0,1,0,1,1,0,0,0,0,0,1,1,0,1,2,0,0,0,1,1,1,1,0,1,0,1,2,1,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0,1,2,0,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,2,2,0,0,1,1,0,0,2,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,2,0,2,2,1,2,0,0,1,0,1,2,0,0,0,1,1,1,0,0,0,1,1,0,1,1,0,0,2,2,0,0,1,1,2,1,2,2,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0,2,0,2,0,0,0,0,0,0,0,1,2,0,1,0,1,0,0,0,0,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,1,1,1,0,2,0,1,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,2,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,2,2,1,0,1,1,0,1,0,1,0,1,2,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,1,1,1,2,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,2,2,0,0,0,0,0,1,1,0,0,1,2,0,2,0,1,1,2,0,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,2,0,1,0,0,1,1,0,2,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,2,1,0,1,0,2,1,1,2,0,0,0,2,0,0,2,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0,0,2,0,0,0,1,0,0,0,1,1,1,0,2,1,0,1,1,0,0,1,1,0,2,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,1,1,1,0,0,1,2,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,1,0,2,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,2,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,1,0,1,2,0,0,0,1,0,1,2,2,1,0,1,0,0,0,1,1,1,0,0,0,1,2,0,1,1,1,2,1,0,1,0,0,0,2,2,0,0,0,1,0,1,0,1,0,0,0,0,0,2,1,2,1,0,0,0,1,0,0,0,0,0,1,1,1,1,1,0,0,0,1,1,0,1,1,0,1,2,1,0,1,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,2,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,2,2,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,2,2,0,0,0,0,1,0,0,2,0,0,1,0,0,2,0,1,1,0,0,1 1,0,0,2,0,0,0,0,1,1,2,2,1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,2,1,0,1,1,0,1,1,2,0,0,1,1,0,1,0,0,0,0,0,0,1,0,1,1,0,2,0,0,1,0,0,0,0,1,0,0,2,0,0,1,2,0,0,2,0,0,0,0,1,1,1,0,1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,2,0,1,0,2,0,0,0,1,1,0,0,1,0,1,0,2,0,0,2,0,1,0,0,0,1,1,1,1,1,1,1,0,1,0,0,1,0,1,1,0,0,2,0,1,1,2,0,0,1,0,0,1,0,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,2,0,1,0,0,1,1,1,1,2,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,1,2,0,2,0,0,1,0,2,0,0,0,0,1,1,1,0,0,0,0,2,0,1,1,0,0,0,0,1,1,0,0,0,1,1,0,1,0,2,1,0,1,1,1,0,2,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,1,2,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,1,2,0,1,0,1,2,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,2,1,0,0,1,0,2,0,0,1,0,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,2,0,2,0,0,0,1,1,1,1,0,1,0,2,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,2,1,0,0,0,1,1,1,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0,2,1,0,2,0,1,0,1,2,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,2,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,2,1,0,0,0,0,0,1,0,0,1,0,2,0,1,1,0,0,1,2,2,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0,1,2,1,0,1,1,0,1,0,0,0,0,2,0,0,1,1,2,0,0,0,0,1,2,0,1,1,0,0,2,0,1,0,0,0,1,0,1,0,0,0,0,0,2,0,2,0,0,0,1,0,0,1,1,0,2,1,0,2,1,1,0,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,2,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,1,2,0,2,1,1,1,0,1,0,2,0,2,0,0,0,1,0,1,0,1,1,1,2,0,1,0,1,2,0,2,2,2,0,1,0,1,0,2,2,0,0,1,0,0,0,1,0,2,1,0,0,0,0,1,1,2,2,0,0,0,0,2,0,1,1,1,0,0,0,0,2,0,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,2,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,2,0,1,0,0,1,0,0,1,1,2,1,0,0,1,0,1,0,0,0,0,2,0,0,1,0,0,2,0,0,0,2,0,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,1,1 0,0,0,1,0,1,0,0,1,2,2,2,1,0,1,0,0,2,1,0,0,0,0,0,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,2,1,1,2,2,0,0,0,1,1,1,0,1,0,0,0,2,0,1,0,1,0,0,0,0,1,0,1,0,0,2,0,1,1,2,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0,2,0,0,0,0,0,0,2,1,1,0,1,0,1,2,0,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,2,0,2,0,0,1,0,0,1,2,1,1,1,1,0,1,1,2,1,2,2,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,2,1,0,0,1,0,0,1,0,1,0,2,1,0,0,1,2,1,0,0,0,0,1,1,1,0,0,0,2,1,0,2,0,0,0,1,0,0,0,0,1,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,2,1,0,2,2,0,0,0,2,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,2,1,1,1,2,0,0,1,1,1,1,1,1,0,1,1,1,1,1,2,1,0,0,2,1,0,1,0,1,1,1,0,0,1,1,0,2,0,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0,1,1,1,1,2,0,0,0,2,2,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,2,1,2,2,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,1,2,0,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,1,0,2,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,1,1,2,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,2,1,0,0,1,2,2,0,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,2,0,2,0,1,0,1,0,0,0,0,1,0,2,1,0,1,0,0,1,0,2,1,1,1,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,2,0,0,1,1,0,0,0,0,0,2,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,0,2,0,0,0,0,2,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,2,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,2,1,0,0,2,1,0,0,1,0,2,0,1,1,1,0,1,1,1,2,1,0,2,0,0,2,0,2,0,0,2,0,0,1,1,1,1,0,1,1,0,2,1,1,0,1,0,0,0,1,0,0,0,2,0,0,1,0,2,1,0,0,0,0,0,0,2,0,2,1,0,0,0,0,2,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,2,0,1,0,1,0,2,2,0,1,0,1,2,1,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,2,0,0,2,0,0,0,1,0,2,0,1,0,2,0,0,0,1,0,1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,1,0,2,1,0,1,1,0,0,0,1,1,0,1,0,1,0,2,1,0,0,1,0,0,0,1,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,1,2,1,1,0,1,1,2,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,2,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,1,0,1,1,1,0,1 2,0,2,1,0,1,0,1,0,0,1,0,0,0,1,0,0,2,1,0,0,0,0,0,2,1,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,2,1,2,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,1,2,0,2,1,0,0,0,0,0,1,0,0,0,1,1,0,1,1,1,1,1,0,0,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,1,1,2,1,2,0,0,0,1,0,1,1,0,0,0,1,0,2,0,1,0,0,1,0,0,1,0,2,1,2,0,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,2,0,0,2,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,1,0,2,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,1,1,0,1,0,1,0,1,0,0,1,1,0,1,2,0,1,0,0,0,0,1,1,1,1,1,0,2,0,1,0,0,0,1,1,0,2,0,0,0,1,1,2,0,0,2,1,1,2,1,0,0,0,1,2,2,0,0,0,1,0,2,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,2,2,1,1,1,0,0,1,1,0,0,0,0,1,1,2,0,0,0,0,1,0,1,0,1,0,0,0,0,0,2,1,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,2,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,2,0,0,0,0,0,1,0,1,0,0,1,1,0,0,2,1,0,0,0,0,0,1,2,0,1,0,1,2,1,2,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,1,1,2,0,1,0,1,0,0,0,1,0,2,0,1,0,1,1,1,1,0,1,0,0,0,1,1,2,1,0,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,2,0,2,0,1,0,2,1,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,2,0,0,0,0,0,1,0,0,1,2,1,0,0,0,1,0,1,0,1,1,0,0,2,0,1,0,0,0,1,0,1,1,2,0,0,0,0,1,1,0,0,0,0,0,1,1,0,2,0,1,0,0,0,1,1,0,2,0,2,0,0,0,1,1,1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,1,2,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,1,0,0,0,1,0,0,2,0,2,0,0,0,0,0,1,0,1,0,1,0,1,0,0,2,0,1,1,1,0,1,2,0,1,1,1,2,2,0,0,1,0,1,0,2,0,1,0,0,0,1,0,0,0,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,2,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,1,0,1,0,0,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,2,2,1,1,0,0,0,2,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,1,2,1,0,1,1,0,2,0,0,0,0,2,0,0,2,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,1,0,1,2,2,1,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,2,1,0,2,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0,1,1,1,0,1,1,1,2,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,2,1,0,1,1,0,0,0,0,0,2,1,1,1,0,0,0,0,2,0,0,2,0,0,0,0,2,1,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1 0,0,2,2,0,1,0,2,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,2,2,1,1,0,0,0,2,2,0,0,2,0,0,0,2,2,0,1,2,1,0,0,1,0,1,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,1,0,1,0,1,0,0,0,2,0,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,0,0,1,2,2,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,1,0,1,1,1,0,1,2,0,0,1,0,0,0,1,1,0,0,1,1,0,2,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0,1,1,2,0,2,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,2,0,0,1,0,0,0,1,1,0,0,0,0,1,1,0,0,2,1,0,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0,2,1,0,0,0,0,0,1,1,2,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,2,1,1,2,0,1,0,2,0,0,1,0,0,1,1,0,1,0,0,0,0,1,1,1,2,1,0,0,1,1,0,0,1,0,1,2,0,0,0,0,1,0,0,0,0,2,0,1,0,1,0,0,0,2,0,1,1,0,0,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,2,1,1,0,0,1,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,1,1,1,2,2,0,1,1,0,0,0,1,1,0,1,0,1,2,0,1,0,0,2,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,2,0,1,1,1,1,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,2,1,0,0,1,1,0,0,0,0,0,2,0,1,0,1,1,0,2,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0,1,1,1,1,1,2,0,1,0,1,0,1,0,2,0,0,0,0,0,1,1,2,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,0,0,0,1,0,1,1,1,1,2,2,0,1,1,0,0,1,0,2,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,2,0,0,1,1,2,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,2,2,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,2,1,1,1,2,2,0,0,1,0,1,2,0,1,1,0,1,1,1,1,1,0,2,0,2,0,0,0,1,0,0,0,2,0,1,0,2,1,2,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,2,1,0,2,0,1,0,0,0,0,0,1,1,0,0,1,1,1,2,0,0,0,2,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,1,1,1,2,2,1,1,2,0,0,0,0,0,0,2,0,1,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,1,2,1,0,0,0,0,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,2,1,0,1,1,1,1,1,0,0,1,0,0,1,2,0,0,1,0,0,0,0,0,0,0,1,0,2,1,0,1,0,1,0,0,0,0,1,1,1,0,1,2,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,2,0,0,1,1,0,1,1,0,0,0,0,0,1,2,1,1,0,0,0,1,2,1,0,0,0,1,2,1,0,2,0,0,1,0,0,0,2,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,1 2,1,0,1,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1,1,2,0,0,2,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,2,1,0,0,0,1,0,1,0,0,0,2,0,2,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,2,1,0,0,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,2,0,1,0,1,0,0,1,0,1,0,0,2,0,0,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,2,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,2,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,2,0,2,2,0,0,0,2,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,2,0,0,2,1,0,1,1,0,1,0,1,1,1,0,2,1,0,0,1,1,1,1,1,0,1,1,0,0,0,1,1,0,1,1,1,0,2,2,0,1,0,0,0,0,1,1,0,1,0,2,0,0,2,0,1,1,0,1,0,2,1,2,0,0,0,1,2,0,1,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,1,2,2,0,1,1,0,2,2,2,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,2,2,2,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,2,1,0,0,2,0,1,1,0,0,1,1,0,1,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,1,0,1,0,2,1,1,0,0,0,2,0,2,1,1,1,1,1,2,0,0,0,2,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,2,2,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,2,0,0,1,0,0,2,0,0,1,1,0,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,2,1,0,1,1,0,0,1,1,0,0,1,0,0,0,2,2,0,0,0,2,2,1,1,2,0,2,1,0,1,0,0,0,2,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,2,1,2,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,1,1,1,0,0,0,1,2,1,0,1,0,2,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,1,1,0,1,0,1,0,1,0,2,1,1,1,0,0,1,1,0,1,1,2,0,1,0,0,1,0,0,0,0,1,1,2,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,2,0,0,1,1,2,1,0,1,0,2,0,1,0,0,1,1,1,1,2,2,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,1,0,0,2,0,2,0,1,2,1,1,0,0,0,0,1,0,0,1,0,1,1,2,0,0,0,0,0,0,2,0,0,0,0,1,2,1,1,1,0,0,0,2,0,0,0,1,0,1,2,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,2,0,0,1,1,0,1,0,0,2,0,0,0,2,0,0,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,2,0,1,1,0,0,1,1,2,2,2,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,2,0,1 0,0,2,0,2,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,2,0,0,1,1,0,0,0,2,0,2,0,0,0,0,1,0,1,2,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,1,1,1,2,0,2,1,0,1,1,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0,1,1,2,1,1,1,2,1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,2,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,2,0,1,0,2,0,0,0,1,0,0,0,0,2,1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,1,2,2,0,1,0,0,2,0,0,1,0,1,2,0,0,1,1,2,0,2,0,0,1,0,0,0,0,1,0,0,2,1,0,0,1,2,0,1,1,0,1,0,0,2,0,0,1,0,0,1,2,0,0,0,0,2,0,2,0,1,0,0,1,0,2,1,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,2,0,2,0,0,1,1,0,0,2,0,1,1,1,2,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,2,1,0,1,1,0,0,0,0,2,1,1,0,1,0,0,2,2,0,0,0,0,1,0,1,0,0,0,1,0,1,1,0,1,2,0,0,1,0,0,2,0,1,0,2,0,0,0,0,1,1,0,2,0,0,1,2,0,0,0,1,0,0,0,0,2,2,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,1,1,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,2,2,0,0,0,0,1,2,1,0,1,1,0,1,0,0,1,0,1,0,2,0,1,0,1,0,0,1,0,2,0,0,1,0,1,0,2,0,0,1,0,0,0,0,1,1,0,0,0,0,0,2,0,0,1,1,0,0,0,2,1,0,1,2,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,0,1,0,1,1,2,1,0,0,0,1,1,0,1,0,1,0,1,0,0,1,1,2,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,2,1,1,0,0,0,0,2,1,0,1,0,2,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,2,1,0,1,0,1,0,2,0,0,0,1,0,1,1,0,1,2,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,0,0,1,2,1,1,0,0,1,0,0,0,0,1,1,1,1,2,2,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,2,0,2,2,0,0,1,0,1,0,2,0,2,2,1,1,1,1,1,0,0,0,0,0,1,1,0,2,1,0,0,0,0,1,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,1,0,0,0,0,2,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,2,1,0,1,1,0,1,0,1,0,1,1,1,0,1,0,0,2,1,1,0,0,1,0,0,0,1,0,1,1,0,1,1 0,0,1,1,2,0,0,0,0,0,0,1,2,2,0,0,0,0,1,0,0,1,2,0,1,0,1,0,0,2,1,0,1,0,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,2,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0,2,0,2,0,0,0,0,2,0,0,0,0,1,1,1,0,1,0,1,0,2,0,0,0,1,0,2,0,1,0,0,2,0,0,1,2,0,0,0,0,0,0,0,1,1,1,0,0,1,2,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,1,2,0,0,2,0,2,0,2,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,2,2,1,0,0,0,0,2,2,1,0,0,0,1,0,1,2,0,0,1,1,0,2,0,2,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,1,2,0,0,0,1,0,1,0,1,0,0,1,2,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,2,0,1,1,1,0,0,1,1,0,1,0,2,0,0,0,1,2,1,0,0,0,2,0,0,0,0,1,0,0,1,1,0,0,2,0,0,1,0,0,0,0,2,1,1,1,1,0,1,0,2,0,1,1,0,0,1,0,0,1,0,0,0,0,2,0,1,0,0,1,0,1,0,0,0,1,1,1,1,1,0,2,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,2,0,2,0,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,2,0,2,1,1,0,0,0,1,0,1,1,0,0,1,0,2,0,0,2,0,1,1,0,1,1,0,0,0,0,2,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,2,0,0,0,2,1,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,2,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0,0,2,1,1,2,0,2,1,1,2,1,0,0,1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,2,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,2,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,2,1,0,0,1,2,0,1,0,0,1,1,0,0,2,0,1,0,0,0,2,1,0,0,1,2,0,1,1,0,1,0,1,0,1,0,0,1,0,0,1,2,1,0,0,1,1,1,2,0,1,0,0,1,0,0,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,2,0,0,0,0,0,0,2,0,0,0,2,1,0,1,1,2,1,0,0,1,0,0,0,0,0,2,1,0,0,0,1,0,1,1,0,1,1,2,1,1,0,0,1,2,0,0,0,0,0,0,1,0,2,0,2,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,1,2,0,0,0,0,0,1,1,1,1,2,0,0,0,0,0,0,0,2,0,2,2,1,2,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,2,0,1,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,1,0,1,2,2,1,1,2,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,1,0,2,1,2,0,0,1,0,0,1,0,1,1,0,1,0,0,1,2,1,0,0,0,1,1,2,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,2,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,2,0,1,0,1 1,0,1,1,2,1,0,1,1,2,1,0,0,1,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,2,1,0,0,1,0,1,1,2,0,0,0,0,0,0,0,0,1,0,0,1,1,0,2,0,0,0,0,0,1,1,2,0,1,0,0,0,2,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,1,2,2,0,0,0,2,2,0,0,1,0,2,0,2,1,2,0,2,1,0,0,0,0,1,0,1,0,2,0,1,0,0,0,0,2,1,0,0,0,0,1,1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,1,0,2,1,0,2,0,0,0,1,0,2,0,0,1,0,0,1,2,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,2,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,2,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1,1,2,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,1,2,2,1,0,0,1,0,2,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,2,0,2,1,1,2,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,1,0,0,2,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,1,2,1,2,1,1,0,0,0,1,0,1,0,0,1,2,0,0,0,2,2,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,2,1,1,0,0,1,1,0,0,2,1,0,0,2,0,0,0,0,0,1,1,0,1,0,0,2,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,0,2,2,1,0,0,0,0,0,1,1,0,1,1,1,1,1,2,0,0,0,0,0,0,0,2,1,1,0,0,1,1,0,0,2,0,1,2,0,0,2,0,0,1,2,1,0,1,0,1,0,0,2,2,2,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,2,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0,2,0,2,0,0,1,0,1,0,0,1,2,1,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,2,1,1,0,1,1,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,2,1,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,2,0,0,0,1,0,1,1,0,1,0,0,1,0,0,0,0,0,2,1,0,1,0,1,0,1,0,2,1,0,0,0,2,2,1,0,1,1,0,0,0,0,2,0,1,1,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,2,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,2,0,2,0,0,1,0,1,1,1,0,0,2,1,0,1,0,0,0,0,0,2,0,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1 1,0,0,0,0,1,1,0,0,2,1,1,0,2,1,0,0,0,0,0,0,0,1,0,2,1,2,0,0,1,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0,2,1,1,0,0,0,1,0,1,0,0,1,1,0,1,0,2,2,1,1,0,0,0,1,1,0,1,0,2,1,0,2,0,0,0,2,0,2,1,0,0,0,0,0,0,1,1,2,0,2,2,0,0,0,0,1,0,2,0,1,0,2,0,0,0,0,0,0,2,1,0,1,1,1,1,0,0,0,1,0,1,0,2,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0,2,0,0,0,0,1,0,0,2,0,2,1,1,2,1,0,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,2,1,1,0,0,1,2,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,2,0,1,0,0,0,1,1,0,0,0,1,1,0,0,2,0,1,1,1,0,1,1,0,0,2,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,0,2,0,2,0,1,0,0,1,0,0,2,1,0,2,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,2,2,1,0,2,1,1,1,0,0,0,1,0,0,2,1,0,1,1,0,0,2,2,0,1,0,0,1,0,2,1,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0,2,2,0,1,0,0,1,0,2,0,1,2,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,2,0,1,1,0,0,1,2,1,1,0,0,1,0,2,2,1,1,0,2,1,0,0,1,0,1,0,0,2,0,0,0,1,1,1,0,0,0,2,0,0,0,0,0,0,2,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,2,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,2,0,0,2,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,2,0,0,0,0,0,0,1,1,2,0,0,0,0,0,1,1,1,0,0,0,2,0,0,2,2,0,0,0,1,0,1,2,0,1,0,0,0,0,0,2,0,2,0,0,1,1,2,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,2,2,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,2,0,0,1,0,1,0,2,2,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,1,0,0,2,0,0,0,1,1,0,0,0,0,1,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,2,0,1,0,1,0,0,0,1,2,0,0,0,0,1,2,0,2,0,1,0,0,1,1,0,2,0,2,1,0,0,1,1,0,0,0,0,1,2,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0,1,1,0,2,0,0,1,1,0,1,1,0,0,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,2,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,2,0,1,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,2,0,1,1,0,2,0,0,0,0,0,0,0,2,1,0,1,1,1,2,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,2,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,1,0,0,2,0,0,0,1,2,2,0,0,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,2,1,2,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,1 1,0,0,2,0,0,1,1,0,1,2,0,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,2,0,0,1,0,1,1,0,0,2,0,1,0,2,1,1,1,2,0,0,0,0,2,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,1,1,2,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,2,2,0,0,0,0,2,1,0,2,1,0,2,0,1,1,0,1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,2,2,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,1,0,1,1,0,2,0,0,0,0,1,2,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,2,0,0,0,0,1,0,0,1,0,0,2,1,0,1,1,0,1,0,0,1,0,1,0,0,0,2,1,0,0,0,2,0,0,0,2,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,1,0,1,2,1,0,0,2,0,1,1,0,1,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,1,1,0,1,0,1,1,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,2,0,0,0,0,1,1,1,1,0,1,0,0,0,0,1,1,2,0,1,0,0,0,0,0,2,0,1,2,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,0,0,1,1,2,2,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,1,0,2,2,0,0,1,1,1,1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,2,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,2,0,1,0,1,0,0,0,0,0,1,1,0,1,0,2,2,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,2,0,1,0,2,1,1,0,0,0,0,1,1,1,1,0,1,0,1,0,1,2,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,2,0,1,1,2,1,1,0,2,0,0,0,2,0,1,1,0,0,0,0,1,0,0,2,0,0,0,1,2,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,2,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,2,0,2,0,0,1,0,0,1,1,1,1,1,0,1,1,1,0,2,0,0,1,2,1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,2,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,2,0,2,0,1,0,0,1,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,1,0,2,0,0,1,0,0,0,0,1,0,0,1,1,0,2,1,0,1,2,0,1,0,0,0,1,0,1,1,1,2,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0,2,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,1,2,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,2,2,0,2,0,2,0,0,0,1,1,0,0,0,1,1,0,2,0,1,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,2,1,1,0,0,0,0,0,1,0,0,1,0,0,0,2,2,0,1,1,0,0,1,1,2,0,0,0,1,0,0,0,0,2,1,0,1,1 1,0,0,1,2,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,2,1,1,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,2,0,1,1,1,0,0,0,2,1,0,0,0,0,1,1,1,0,1,0,2,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,2,0,1,0,1,2,0,0,0,1,2,1,1,2,2,0,1,1,0,1,0,2,1,1,0,1,1,1,1,0,0,1,1,1,1,0,0,1,1,0,2,0,0,0,1,0,0,1,0,1,0,0,1,0,1,0,0,1,1,1,0,2,0,1,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,1,0,2,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,2,0,2,0,0,0,0,0,1,1,0,0,2,0,0,1,2,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,1,2,1,0,1,2,1,1,1,0,2,0,0,1,1,1,1,2,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,1,2,0,0,0,1,1,2,1,1,0,2,0,0,2,0,0,1,1,0,0,1,0,2,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,2,0,0,0,2,0,1,0,2,2,0,1,0,0,1,0,0,0,1,2,0,0,2,0,0,1,0,2,0,0,2,1,0,0,0,1,2,0,1,0,0,0,0,0,1,1,1,1,1,2,0,0,0,0,1,1,1,1,0,1,1,0,2,1,0,0,0,1,1,1,2,1,0,1,2,1,0,0,0,1,0,0,0,2,0,1,0,0,0,1,2,1,0,0,1,1,2,1,1,1,0,1,0,0,0,1,0,0,0,0,2,0,0,2,2,0,2,0,0,0,0,0,1,0,1,0,0,0,0,1,2,0,1,0,0,0,1,1,0,1,1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,2,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,2,0,2,1,2,1,0,2,2,1,1,0,1,0,0,0,2,1,0,1,0,0,0,1,0,1,1,0,0,0,2,0,0,0,0,1,1,0,1,0,1,0,0,1,1,2,0,1,1,0,1,1,0,0,0,2,0,1,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,1,0,1,2,0,0,0,1,0,0,0,0,1,1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0,1,2,0,1,0,0,2,0,2,1,1,1,2,0,0,1,0,0,1,0,1,0,1,2,1,0,0,1,2,0,2,0,1,0,0,0,0,1,1,0,0,1,2,0,1,1,1,1,1,2,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,2,0,0,1,2,1,1,0,1,1,0,0,2,1,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,1,0,0,0,2,1,1,0,1,0,1,1,0,1,0,1,0,0,1,2,0,0,1,0,1,0,0,0,0,2,1,1,0,1,1,0,2,1,0,0,0,0,0,1,0,1,1,1,2,1,0,2,1,0,0,1,0,1,2,1,1,2,1,1,0,0,0,0,0,0,1,0,0,2,0,0,0,0,2,1,1,0,0,0,1,0,0,0,2,0,1,0,2,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,2,0,1,0,1,0,0,1,1,0,1,1,1,2,0,0,0,0,0,0,0,0,2,0,1,0,1,2,0,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0,0,2,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,2,0,2,1,1,0,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,1,1 1,0,1,0,1,0,0,2,0,2,0,0,0,1,1,1,0,0,1,0,0,0,0,0,1,1,2,1,1,0,2,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,1,0,0,2,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,2,0,0,1,0,1,2,1,0,1,1,0,1,1,0,0,0,2,0,1,1,0,1,1,0,0,2,2,1,2,1,0,1,2,1,0,0,0,0,0,1,0,2,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,2,0,0,0,1,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,2,0,1,1,1,2,0,0,0,1,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,2,0,0,2,2,0,2,1,1,0,0,2,1,0,1,1,1,0,0,0,0,0,2,0,1,1,1,0,1,0,1,0,0,1,2,0,0,0,2,1,2,0,0,0,0,1,0,1,1,1,2,0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,1,0,1,2,0,0,1,1,2,0,0,2,1,0,0,1,1,0,0,0,0,1,2,2,0,0,1,0,0,1,0,0,1,0,0,0,0,2,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,2,1,1,0,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0,2,0,1,0,0,0,0,0,2,0,0,0,0,1,1,1,0,1,0,1,1,2,0,2,0,2,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,2,0,0,1,0,1,1,2,1,0,0,2,0,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,2,0,0,2,1,0,0,0,0,1,2,0,0,1,0,2,0,1,1,1,2,1,1,0,1,0,1,0,0,0,0,0,1,1,1,1,0,0,0,2,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,2,0,0,0,1,1,0,0,2,0,1,0,1,0,1,0,0,1,1,0,1,0,1,1,1,0,0,1,1,1,2,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,2,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,2,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,2,1,2,1,1,1,0,0,2,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,2,0,0,0,1,0,1,0,0,0,2,2,1,1,0,2,0,0,0,1,0,1,0,1,2,0,0,2,0,0,0,0,1,0,0,1,0,1,1,0,1,2,0,1,0,0,0,0,0,2,0,1,2,1,1,0,1,0,0,0,0,2,1,1,0,1,1,1,0,1,0,1,0,1,1,2,1,1,2,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,2,0,0,1,0,2,0,2,0,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,1,1,1,2,2,1,0,1,1,0,0,1,0,0,0,2,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,2,0,0,1,1,0,1,1,0,1,0,0,0,0,2,1,0,2,0,0,0,0,1,1,0,2,1,1,0,1,0,0,2,1,0,0,0,0,1,0,0,1,0,0,1,0,2,2,1,0,1,0,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,2,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1 0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,0,2,1,0,0,0,1,1,1,0,0,0,2,0,0,1,2,0,2,0,0,2,2,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,1,1,0,1,0,0,2,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,2,1,0,0,0,1,2,1,2,0,1,1,1,1,0,1,1,0,1,0,1,0,0,1,0,2,1,1,1,0,0,1,1,0,0,0,0,2,2,0,1,0,0,1,0,0,1,0,1,1,0,0,1,2,0,1,1,1,0,0,0,0,1,0,2,1,0,0,0,1,1,0,1,0,1,0,1,0,0,1,1,2,1,1,1,0,1,0,1,2,0,0,2,0,0,0,1,0,0,1,0,0,0,2,2,1,1,2,0,0,0,0,2,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,2,0,2,1,0,0,1,2,0,0,1,1,0,0,0,2,0,1,0,0,0,1,1,0,1,1,0,0,1,0,0,1,0,2,0,0,0,1,1,0,1,0,1,0,0,2,2,1,1,0,1,0,0,1,2,1,1,0,0,1,0,1,0,0,0,0,0,1,1,2,0,1,0,0,2,0,0,0,1,2,0,0,1,1,0,1,0,0,0,2,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,2,0,2,0,0,0,0,1,1,0,1,1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,1,1,0,1,0,1,0,0,1,1,1,2,0,1,0,1,1,0,1,0,2,0,0,0,0,0,2,0,0,0,0,0,0,2,1,0,2,1,0,2,0,1,1,0,2,0,1,0,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,2,0,0,0,1,0,1,1,1,1,0,2,0,1,2,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,2,1,1,0,0,1,1,0,0,0,2,0,0,1,0,1,1,0,0,0,2,1,1,0,1,0,1,0,0,0,0,1,2,1,1,1,0,0,1,0,2,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,2,1,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,1,1,1,1,2,0,0,0,0,1,1,0,1,0,2,0,2,1,0,1,2,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,2,2,1,1,0,1,1,0,0,0,2,0,0,1,0,1,1,0,0,0,0,2,1,0,1,2,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,2,2,0,2,0,2,0,2,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,2,2,1,2,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,2,0,0,1,2,1,0,1,0,0,0,1,1,0,1,1,1,1,1,1,0,1,0,0,1,2,2,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,2,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,1,2,0,0,0,1,1,0,0,0,1,1,2,1,0,1,1,0,2,0,1,0,1,0,1,0,1,0,0,1,1,0,2,1,0,0,0,0,0,1,0,0,0,2,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,2,1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,2,0,0,2,0,0,0,1,0,1,0,0,0,1,1,2,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0,1,1,0,1,1 1,0,1,1,1,1,0,1,0,0,2,1,0,0,2,0,0,1,2,0,0,2,0,0,0,2,0,0,1,1,1,0,0,1,1,0,1,0,0,0,2,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,2,0,1,0,0,2,0,2,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,2,1,0,1,0,1,1,0,2,0,1,2,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,1,0,1,1,1,1,1,0,1,1,2,0,1,2,1,2,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,2,0,0,1,0,2,0,1,2,0,0,0,0,2,1,2,1,0,0,0,0,0,0,1,0,1,0,1,1,0,1,2,0,2,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,2,1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,1,1,0,1,2,1,0,2,1,1,1,0,1,0,0,1,0,0,0,0,0,1,2,0,0,1,0,0,2,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,2,0,0,2,1,1,1,1,2,1,0,1,0,2,0,0,0,0,0,1,0,1,1,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,2,0,0,0,1,0,1,0,1,0,1,0,1,1,0,1,1,2,1,1,2,1,0,0,2,0,2,0,2,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,1,1,0,2,0,0,1,1,1,0,0,0,0,1,0,1,2,0,1,0,2,0,2,0,0,0,1,0,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,2,0,0,1,1,2,1,0,0,0,1,0,1,0,1,1,0,1,2,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,2,0,0,0,0,0,1,2,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,2,1,0,0,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,2,0,1,2,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,1,1,0,0,0,0,1,0,1,1,0,0,2,1,1,0,0,1,2,0,1,1,0,1,1,0,0,1,2,0,0,0,1,1,0,0,0,0,2,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,2,1,1,0,0,0,1,0,0,1,0,1,0,2,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,1,1,2,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,1,1,1,2,0,0,1,0,0,2,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,2,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,0,1,0,1,0,1,2,0,1,0,1,0,0,1,1,2,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,0,1,1,0,0,2,1,0,0,2,1,0,0,1,0,1,0,1,2,0,0,0,2,0,0,0,0,1,1,0,0,0,2,0,0,0,2,1,0,1,0,1,2,1,1,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,1,2,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0,1,2,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1 1,0,2,0,1,2,0,1,1,0,2,0,0,2,2,0,1,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,2,0,0,0,0,0,1,0,1,2,2,0,1,0,1,0,1,1,1,0,1,0,0,0,2,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,1,0,0,1,0,1,1,0,1,2,1,0,0,1,2,1,0,0,1,1,1,2,0,0,1,0,2,0,0,0,0,0,1,0,1,0,2,0,1,0,0,1,2,1,0,0,0,0,0,0,1,1,0,2,0,0,1,0,0,0,0,1,1,1,0,1,1,2,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,1,2,1,0,0,0,0,0,1,0,0,2,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,1,0,2,1,0,0,2,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,2,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,2,0,2,1,1,0,1,1,0,0,0,0,0,1,2,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,2,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,2,1,1,0,1,1,0,0,0,1,2,1,0,0,1,0,2,0,0,0,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,2,1,1,1,0,2,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,2,0,1,1,0,0,1,0,2,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,1,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,2,1,0,1,0,0,0,1,0,0,2,1,2,0,0,1,0,1,2,0,0,0,0,0,1,0,2,0,1,0,0,1,1,0,0,2,1,1,0,0,0,1,0,1,0,2,1,0,1,2,0,0,0,1,1,1,1,0,0,1,0,0,0,2,2,0,0,1,1,2,0,1,1,0,0,0,0,0,1,1,0,1,0,1,0,2,1,0,0,1,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,2,2,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,2,0,0,0,0,1,0,1,1,2,0,0,2,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,2,0,0,1,1,2,0,1,0,1,0,0,2,2,1,0,1,1,0,0,1,1,2,0,0,0,0,0,2,1,1,0,2,0,0,0,0,1,0,1,0,0,0,0,2,0,0,1,0,0,0,2,0,1,0,0,1,0,0,0,0,1,1,2,1,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,2,0,0,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,1,2,0,0,0,0,1,0,1,2,1,1,0,0,2,0,0,2,2,0,0,0,1,1,0,0,0,2,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,1,0,2,0,0,0,0,0,1,1,0,0,1,0,1,1,1,2,1,0,2,0,0,0,1,0,0,2,2,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,2,1,0,0,2,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,2,0,0,0,1,1,2,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,2,0,1,2,1,2,0,1,1,1,0,2,0,1,1,0,0,0,1,0,2,2,1,0,1 0,0,0,1,1,0,0,0,1,2,2,0,1,2,1,0,0,0,2,0,0,1,0,1,1,1,1,2,0,0,1,0,2,0,0,0,2,0,0,0,0,1,0,1,0,1,0,2,0,0,1,0,0,0,1,1,1,0,0,2,0,0,2,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,2,0,1,0,1,1,1,1,1,0,0,0,0,0,2,0,1,2,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,1,2,1,0,1,0,1,0,2,0,0,0,2,1,2,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,1,2,0,0,1,1,2,1,2,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,1,1,1,1,1,0,1,1,0,2,1,0,2,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,2,1,0,1,2,2,0,2,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,2,0,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,1,2,2,0,0,0,2,1,1,0,0,0,0,0,0,0,1,2,0,1,0,1,0,1,0,0,1,0,0,1,1,0,1,2,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,2,2,1,0,0,1,0,2,0,0,2,0,1,0,1,0,2,0,1,0,1,1,0,0,0,0,1,0,2,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,1,2,0,0,1,1,1,0,0,0,1,0,0,0,2,1,0,1,1,0,1,0,1,0,1,2,0,2,1,1,0,0,0,0,0,0,0,0,0,2,1,2,1,0,1,0,2,0,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0,1,2,0,0,0,0,2,0,0,0,0,0,1,2,0,1,1,0,0,0,0,1,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,2,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,2,0,2,1,0,0,0,0,0,0,1,1,1,2,0,0,0,1,1,2,0,0,0,0,0,1,0,0,0,0,2,0,1,1,0,1,0,2,1,2,0,1,1,2,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,2,0,1,2,2,0,0,0,2,0,2,1,1,0,0,0,1,0,0,1,2,1,2,2,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,1,1,1,2,0,0,0,2,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,2,0,0,0,1,1,0,0,2,1,0,0,0,1,1,0,0,0,0,0,1,0,0,2,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,2,0,0,0,0,0,0,1,0,1,2,1,1,1,0,0,0,0,0,1,1,1,1,0,2,1,0,0,0,0,0,0,0,2,1,0,1,1,2,0,0,1,1,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,2,0,0,2,0,1,1,0,0,2,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,1,2,0,1,0,0,0,0,0,2,0,1,0,2,0,0,0,1,0,1,0,0,1,1,2,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0,2,2,1,1,0,1,1,0,1,0,0,0,2,2,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,1,2,0,0,1,0,2,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,1,1,2,0,0,0,0,0,2,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,1 2,0,1,1,0,0,0,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,2,2,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,2,0,1,0,1,0,0,1,1,2,0,0,0,0,0,1,1,2,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,1,0,1,0,1,0,0,0,1,1,2,0,1,0,2,0,1,1,0,0,1,0,0,0,0,0,0,1,0,2,0,1,2,0,0,1,1,1,2,0,0,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0,2,2,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,1,1,2,1,0,0,0,0,0,2,1,1,0,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0,2,0,0,0,1,0,0,1,0,0,2,1,1,1,0,2,1,2,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,0,0,2,1,0,1,1,1,0,0,2,0,0,2,1,1,0,1,1,0,0,0,0,2,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,2,0,1,0,1,2,1,1,0,1,2,1,0,0,2,0,0,1,0,1,0,0,1,0,1,2,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,1,1,2,1,0,1,0,1,0,0,0,2,0,2,0,0,0,1,0,0,1,2,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,2,1,1,1,1,0,0,0,2,2,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,1,2,1,1,1,0,0,0,0,0,0,0,1,1,1,1,0,1,1,2,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,2,0,0,2,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,2,1,0,0,0,0,0,1,0,1,0,0,0,0,0,2,1,0,2,0,2,1,1,1,0,0,0,2,0,0,2,1,0,1,0,1,1,1,0,2,0,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0,2,1,1,1,1,0,1,1,1,0,2,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,2,0,1,0,0,0,1,0,0,0,0,2,1,2,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,2,0,0,1,2,1,1,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,1,2,0,0,0,1,1,1,1,0,2,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,2,1,1,1,1,0,0,0,1,0,1,0,1,0,2,0,0,2,1,1,1,0,1,0,1,0,0,1,2,0,0,1,0,0,0,0,1,2,0,0,0,0,1,1,1,0,1,1,0,0,0,1,2,0,1,0,2,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,2,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,2,1,1,0,0,0,1,2,1,2,1,0,0,0,0,0,0,1,0,1,0,1,0,1,1,2,0,0,0,0,1,0,1,0,2,1,0,0,1,0,1,1,0,1,0,1,2,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,2,2,0,0,2,1,0,2,0,1,1,0,0,0,2,0,2,2,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1 0,0,1,1,0,0,1,1,0,0,1,1,1,2,1,1,0,0,0,0,0,0,0,1,1,1,0,2,1,1,0,0,1,1,0,0,1,1,1,0,1,2,0,2,0,0,0,0,1,0,1,0,0,0,1,0,2,1,1,1,1,0,1,1,1,0,0,2,2,0,1,1,0,0,0,1,1,2,0,0,1,0,0,1,1,0,1,0,0,2,0,1,0,0,0,1,0,0,1,0,0,1,0,0,2,1,0,0,0,2,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,1,0,0,0,2,1,1,0,2,2,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,1,0,1,1,2,1,0,1,0,1,0,2,0,0,1,0,1,1,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,1,0,1,0,0,1,0,0,1,0,1,0,1,1,0,0,0,2,0,1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0,0,2,0,0,1,0,0,2,0,1,2,0,0,2,0,0,1,0,0,0,2,0,2,2,1,0,2,0,0,0,0,2,2,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,0,2,1,0,1,1,1,1,1,0,0,2,1,0,1,0,1,0,1,2,1,1,0,0,2,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,2,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,1,1,0,1,0,0,1,2,1,0,0,0,0,2,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,2,1,1,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,2,0,0,1,1,1,0,0,0,0,0,0,2,0,1,1,2,0,0,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,2,1,1,0,0,0,1,0,1,0,1,0,2,0,1,0,1,0,1,0,1,2,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,2,0,1,0,0,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,1,2,2,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,2,0,1,2,0,0,2,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,2,0,2,1,2,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,1,1,1,1,2,0,0,0,0,0,1,0,1,0,0,0,2,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0,2,0,0,1,0,2,0,1,0,1,0,0,1,0,0,2,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,1,1,1,0,2,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0,2,0,0,1,1,0,0,0,0,1,2,0,2,0,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,2,1,0,1,0,2,0,1,0,0,0,0,0,0,1,0,1,2,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,1,1,1,1,2,0,0,1,1,0,1,2,1,1,1,2,1,0,0,1,0,0,2,0,1,0,0,1,0,1,2,0,2,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,1,1,0,0,0,0,2,0,0,1,0,0,1,0,0,2,0,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,2,0,0,0,0,1,0,1,1,2,1,0,0,0,1,0,1,1,1,0,2,0,0,0,0,2,1,0,0,1 1,0,1,0,0,0,0,1,1,2,0,0,1,1,0,0,1,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,2,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,2,0,2,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,2,1,1,1,0,2,1,0,0,2,0,1,0,0,0,1,1,0,0,0,2,0,0,1,0,1,1,0,1,2,0,0,0,1,0,0,1,0,1,1,0,0,2,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,2,0,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,1,1,1,2,0,1,0,0,0,0,0,1,0,1,0,2,0,0,0,0,2,1,0,2,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,2,0,0,0,0,0,0,2,0,0,0,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,2,0,2,1,1,0,0,1,0,0,2,0,0,1,0,2,0,0,0,0,0,1,2,0,0,1,1,1,1,1,0,0,1,1,0,1,0,2,1,1,1,1,1,0,0,1,0,1,2,0,0,0,0,0,1,1,0,0,0,1,0,2,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,2,0,1,1,0,2,0,0,0,0,1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,2,0,0,1,1,0,0,0,1,2,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,2,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,2,1,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,2,0,2,0,1,1,0,1,1,0,0,1,1,1,2,0,1,0,1,0,0,1,1,1,0,0,0,1,1,1,1,0,2,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,2,2,1,1,0,1,1,1,1,1,1,0,0,0,0,0,2,0,1,1,1,0,0,0,0,1,0,0,2,0,1,1,0,0,0,1,0,0,0,1,0,1,0,1,1,1,1,1,0,1,1,0,0,1,1,1,0,1,1,0,1,1,1,1,2,0,1,1,1,1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,1,2,1,0,1,2,1,0,0,0,0,2,0,0,0,1,1,1,2,0,1,1,1,0,0,0,1,0,0,1,2,0,0,1,0,0,0,2,0,0,1,1,2,0,0,2,1,0,0,2,1,0,1,2,0,0,1,2,0,1,0,0,0,1,0,0,1,2,2,0,1,0,1,0,1,0,2,1,2,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,2,0,2,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,1,1,0,0,0,0,1,1,0,2,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,0,2,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,2,2,0,2,0,1,1,1,1,0,1,1,1,2,1,0,2,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,2,1,0,0,1,1,2,0,1,0,1,0,0,2,2,1,0,1,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,2,1,0,0,1,0,0,1,1,2,1,0,0,0,0,1,1,1,1,2,0,0,1,0,0,1,0,0,2,1,0,0,0,1,2,2,0,0,0,2,0,0,2,0,1,2,0,0,0,0,2,2,1,0,1 2,0,2,0,0,0,0,1,1,0,2,2,0,0,1,0,0,0,1,0,0,0,0,0,1,2,2,1,0,1,0,0,0,0,1,0,0,1,1,2,2,2,2,1,1,2,0,0,0,0,2,0,1,0,1,0,0,0,2,2,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,2,1,0,1,1,0,1,1,0,0,0,2,1,0,1,2,0,1,1,0,2,0,1,0,0,0,2,1,2,0,0,1,1,0,1,1,1,0,1,2,0,0,0,1,1,2,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,1,2,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,2,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0,1,1,1,1,1,1,0,2,1,1,1,2,1,1,1,1,0,0,0,1,0,2,0,0,1,0,2,0,1,2,0,0,0,0,0,1,1,1,0,0,2,0,0,2,2,1,0,1,1,1,2,1,0,0,1,0,2,0,0,0,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,2,0,1,0,2,0,1,0,0,0,0,1,2,1,2,1,0,1,0,0,2,2,2,2,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,2,1,1,0,0,0,0,2,1,1,1,0,2,1,2,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,2,0,1,2,1,0,0,2,1,1,0,1,1,0,0,0,0,0,2,1,1,0,0,0,1,0,0,2,0,1,0,1,0,1,1,0,1,0,0,0,0,0,2,0,1,0,0,0,0,1,1,1,0,1,0,2,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,1,1,0,1,2,0,0,0,1,0,0,1,0,0,0,2,1,1,0,0,1,1,1,2,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,2,1,0,1,1,2,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,2,0,2,0,0,0,0,1,1,1,1,0,0,0,1,1,1,1,1,1,0,1,0,2,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,1,0,1,0,1,0,1,1,2,0,1,1,0,2,2,0,1,1,2,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,1,2,1,0,2,1,2,0,1,0,0,0,2,1,1,2,0,0,1,0,0,1,0,2,2,1,1,2,1,2,1,0,1,1,0,0,0,0,0,1,0,2,1,0,1,0,2,2,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,2,0,1,1,0,2,1,0,0,0,0,2,0,0,0,1,1,2,2,1,1,2,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,2,1,1,0,1,0,0,0,1,0,2,0,1,0,1,1,0,1,0,0,1,0,2,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,1,2,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,1,1,0,0,0,2,0,0,1,2,2,0,0,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,2,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,1,1,0,1,1 0,0,1,0,0,0,2,1,1,1,2,2,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,1,0,1,2,0,0,1,2,0,1,1,0,0,2,0,1,0,0,0,0,0,0,0,1,1,2,1,0,1,0,0,2,0,1,0,0,0,0,1,2,2,1,0,1,0,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,1,2,0,0,1,1,0,1,0,1,0,1,0,2,0,0,0,1,0,1,1,0,2,0,0,0,0,0,2,1,1,2,1,2,1,0,0,0,1,2,1,0,0,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,2,0,0,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,1,1,2,0,0,1,2,1,1,1,0,2,2,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,1,1,2,0,1,0,0,0,1,2,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0,2,1,1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,2,2,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,1,2,0,0,1,1,1,1,1,0,0,0,2,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0,2,0,2,1,0,0,0,0,0,0,0,0,1,1,2,2,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,1,2,2,1,0,0,0,2,0,0,2,0,1,0,1,1,2,0,1,0,0,1,0,1,1,0,0,2,1,0,0,1,0,0,1,1,2,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,1,1,1,0,1,1,0,1,1,0,2,1,1,0,0,1,0,0,0,0,0,2,0,1,0,1,2,0,0,0,0,1,2,1,0,0,1,0,1,1,2,0,1,0,0,1,0,0,0,0,0,0,1,1,0,2,0,0,1,2,0,0,2,1,1,0,0,1,2,2,1,0,1,1,0,0,1,0,1,0,0,0,0,0,2,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,2,1,1,0,0,0,0,1,1,2,0,0,1,0,0,1,0,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,2,2,0,0,1,1,1,1,0,0,1,0,0,2,0,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,2,1,1,0,0,0,1,1,0,1,0,1,1,0,1,0,0,1,1,0,1,1,0,1,0,1,2,0,0,0,1,1,0,1,2,0,1,0,0,1,2,2,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,1,0,0,0,2,0,0,0,1,1,1,0,1,2,0,1,0,0,0,1,0,2,0,0,0,2,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,1,0,0,0,0,2,2,0,0,1,2,2,0,1,0,1,0,2,2,2,2,1,0,0,1,0,2,1,1,0,0,0,1,0,0,1,1,1,0,0,0,2,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,2,1,1,0,0,1,1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,2,1,0,2,0,1,0,2,1,1,1,0,2,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,1,1,2,0,0,2,0,1,1,0,1,2,0,0,1,0,0,1,1,0,0,0,1,2,0,1,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1 1,0,0,1,0,1,0,1,1,1,2,1,0,0,1,0,0,2,1,0,0,1,0,1,1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,0,2,2,0,1,0,0,1,0,1,1,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,1,2,1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,1,0,1,2,1,1,1,0,0,2,0,2,1,0,0,1,0,2,1,0,0,2,2,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,1,0,1,1,2,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,2,0,2,1,1,1,1,0,1,0,0,0,1,0,0,2,1,0,1,2,0,0,0,0,1,1,1,2,1,1,0,1,1,0,1,0,1,0,1,2,1,1,2,1,0,1,1,0,0,2,0,1,0,0,1,0,2,0,0,0,1,0,0,2,1,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,0,1,1,2,1,1,0,0,0,1,1,2,0,1,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,2,0,1,0,1,1,0,1,0,0,0,2,0,1,1,1,0,0,0,0,0,1,0,0,1,1,2,0,0,0,0,2,1,1,2,0,2,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,1,2,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,2,1,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,2,0,2,0,0,1,1,2,0,1,1,0,0,2,2,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,2,0,0,1,1,1,0,0,1,0,1,0,1,0,2,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0,2,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,2,1,0,1,0,0,0,1,1,2,2,0,1,0,1,0,2,1,0,0,2,1,0,0,2,0,1,1,0,0,0,0,1,2,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,2,0,2,2,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,1,2,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,2,0,1,1,1,1,0,1,1,0,1,0,1,1,2,1,0,2,0,0,0,1,0,0,0,2,0,0,0,0,0,0,2,0,1,1,1,1,0,0,0,2,0,0,0,1,2,0,2,2,0,0,0,1,1,0,1,2,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,2,2,0,2,0,0,1,1,0,0,1,1,0,0,2,1,0,0,2,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,1,1,1,0,1,1,0,0,0,0,1,2,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,2,0,0,0,0,0,1,2,1,0,2,0,1,0,0,1,1,0,2,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,1,2,1,0,1,0,0,2,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0,1,1,1,2,0,0,0,0,0,2,0,0,1,0,1,1,0,0,0,0,1,0,0,0,1,2,1,0,0,1,1,1,0,2,0,0,0,0,0,1,0,0,2,0,1,0,1,0,2,1,0,1,0,0,0,1,2,2,0,1,0,0,0,0,1,0,0,1,1 0,0,0,1,0,0,1,0,1,1,1,2,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,1,0,2,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,1,1,1,1,0,1,2,1,1,0,1,0,0,0,0,1,1,0,2,2,0,0,1,1,1,0,0,1,1,0,0,1,0,0,2,0,1,2,2,0,0,1,2,0,2,0,0,1,2,0,0,2,1,0,2,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0,1,1,0,1,2,1,2,2,0,0,1,1,1,0,1,0,0,0,1,0,0,2,0,2,0,1,1,0,0,1,1,2,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,2,1,0,0,1,1,0,2,0,0,0,1,0,0,0,1,0,0,1,0,2,2,0,1,1,0,2,1,1,1,1,0,1,0,0,0,1,0,0,0,1,1,1,2,2,1,0,0,1,1,0,0,0,0,0,0,2,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,1,2,0,0,0,2,1,0,0,1,1,0,0,0,2,1,1,0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,1,1,2,1,1,0,0,2,2,1,0,1,1,1,2,1,0,1,1,1,1,1,0,1,1,0,0,0,1,2,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,2,1,0,1,1,1,1,0,1,0,0,1,2,0,0,0,0,0,2,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,2,0,1,0,1,2,0,0,1,0,0,1,1,1,2,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,2,1,1,1,0,2,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,0,2,0,0,1,1,0,0,2,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,1,0,2,2,0,1,0,0,0,1,0,2,1,0,0,0,1,0,1,0,1,2,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,1,2,0,0,0,0,1,0,1,1,0,2,0,0,0,1,0,2,1,0,1,0,0,1,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,1,1,0,1,0,1,1,2,1,1,0,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,2,0,0,1,0,2,0,0,0,0,2,1,0,1,2,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,2,1,1,1,0,2,1,2,0,0,1,2,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,2,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,2,1,0,0,1,1,0,0,1,0,0,1,2,0,0,0,0,2,1,0,0,0,2,1,0,1,0,0,0,1,1,1,0,1,2,1,1,1,0,0,1,0,2,0,1,0,1,0,0,0,1,1,2,2,1,0,1,0,0,0,2,1,0,2,2,0,2,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,1,0,1,2,0,0,0,0,0,0,1,1,0,0,0,1,2,0,2,1,0,0,0,0,0,0,1,0,1,0,0,2,1,0,0,0,2,0,1,2,1,0,1,2,0,0,1,0,0,0,1,1,1,0,2,0,0,0,0,2,1,0,1,0,0,0,2,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,2,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,1,1,1,0,0,2,0,0,0,0,2,2,0,1,2,0,0,0,0,2,2,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,2,1,0,0,1 1,0,1,1,0,1,1,0,1,1,2,1,0,0,1,0,1,1,0,0,0,2,0,1,1,1,1,1,0,0,0,0,1,2,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,2,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,2,0,0,0,1,1,0,1,0,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,1,0,2,0,0,0,1,2,0,2,1,1,0,1,1,0,0,2,0,0,1,2,0,1,2,1,0,1,0,0,0,0,2,1,2,1,1,1,0,1,1,0,2,0,1,0,2,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,1,0,1,2,0,0,2,0,1,0,2,1,1,0,0,2,0,1,0,0,1,0,0,1,0,0,1,1,2,0,1,2,1,0,2,0,0,0,0,2,2,0,0,1,0,0,0,1,1,1,1,0,2,1,1,0,0,1,2,1,0,0,0,0,1,2,1,0,1,0,2,1,0,1,0,0,0,1,1,1,1,1,0,1,2,1,0,0,1,0,1,1,0,2,0,1,0,0,1,0,1,1,0,0,0,0,2,0,0,0,1,0,2,2,2,0,0,0,1,1,0,1,2,2,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,1,1,0,2,0,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,1,2,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,2,1,0,0,1,1,0,0,2,1,0,1,1,1,0,1,1,0,0,0,0,1,0,2,0,1,0,0,1,0,1,1,0,2,0,0,0,0,0,0,1,2,0,1,0,1,0,1,1,2,2,0,1,0,1,0,0,0,0,0,2,0,0,0,1,1,0,2,1,1,0,2,1,1,1,0,1,0,2,0,0,0,1,1,0,1,1,1,1,0,1,0,1,0,2,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,1,2,0,0,0,1,0,0,1,0,2,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,0,2,1,1,1,0,0,0,2,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,1,0,0,1,0,1,0,2,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,2,1,0,0,1,1,0,0,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,1,1,1,0,1,1,0,2,0,0,1,0,1,0,1,0,0,1,0,2,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0,2,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,2,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,2,2,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,1,0,2,1,0,0,0,0,0,1,0,0,0,0,0,2,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,1,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,1,2,0,1,1,0,0,1,0,0,2,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,2,1,0,0,0,1,1,0,0,0,2,1,0,0,0,0,0,0,2,0,1,0,2,0,0,1,1,0,0,0,0,1,1,0,0,2,2,1,0,0,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,2,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,2,1,1,0,1,0,0,0,1,0,0,1,2,0,0,0,1,0,0,1,0,0,0,1,0,2,1,0,0,0,2,1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,1 1,0,0,0,1,0,1,1,0,1,2,1,0,0,1,0,0,0,0,0,0,0,1,1,1,1,2,1,1,0,0,0,1,0,0,0,1,1,0,1,0,2,0,0,1,0,1,1,0,1,0,0,0,0,2,0,1,1,2,1,0,0,0,0,0,0,1,0,0,0,2,0,1,0,1,0,1,1,0,0,0,0,1,2,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,2,0,1,1,2,0,0,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,2,0,1,1,0,2,2,0,1,0,1,1,0,2,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,1,1,0,0,1,2,1,1,2,2,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,1,1,2,2,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,2,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,2,1,1,2,1,0,2,1,1,0,1,0,2,0,0,1,1,0,0,0,0,1,0,1,0,1,1,1,2,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,2,1,0,1,0,0,1,0,2,1,0,0,0,2,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,2,1,1,0,1,0,2,1,0,1,0,0,0,0,0,0,0,2,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,1,1,0,2,0,2,0,2,0,1,0,1,0,1,0,0,0,1,1,2,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0,1,2,0,1,0,1,1,0,1,1,0,2,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,2,0,0,1,1,0,1,0,0,0,1,0,0,0,0,2,0,1,0,1,0,1,1,1,2,1,0,0,0,0,2,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,2,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,1,1,1,1,1,1,1,1,0,1,1,2,1,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,2,0,0,0,0,0,0,2,1,1,1,1,0,1,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,2,0,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,1,0,0,0,2,1,1,0,0,0,2,0,0,1,0,0,1,1,1,0,2,0,0,1,1,1,1,1,0,0,1,0,2,0,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,2,0,0,1,2,1,1,0,0,0,0,1,1,1,2,1,1,0,1,0,0,1,0,0,0,0,1,0,2,0,1,2,1,1,0,0,0,0,0,0,2,0,1,1,0,2,0,1,1,1,0,1,1,1,0,1,1,1,2,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0,2,0,0,0,0,1,1,1,1,0,0,0,2,1,1,1,1,0,0,1,1,0,1,1,2,0,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,1,1,1,0,0,0,0,1,2,1,1,2,0,0,0,0,2,1,2,1,0,0,1,0,2,1,0,0,1,0,0,0,1,1,1,0,1,1 1,0,1,2,1,0,0,1,0,0,2,0,0,0,2,0,0,1,1,0,0,0,1,1,2,2,2,1,1,2,1,0,2,2,0,0,0,0,0,0,1,1,2,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,2,2,0,0,0,0,0,1,0,0,2,0,1,1,2,1,1,0,0,0,1,0,1,0,2,1,0,0,0,2,0,1,0,1,0,1,0,1,0,2,0,1,1,1,1,1,0,0,0,0,0,0,2,0,1,2,0,2,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,2,0,1,1,0,1,2,1,1,0,0,0,0,1,1,0,2,0,0,0,1,1,0,1,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,1,2,1,0,0,0,1,0,0,0,0,1,0,0,2,2,0,1,0,0,1,0,0,1,0,2,0,1,0,0,1,2,0,0,0,1,0,1,0,0,0,1,2,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,1,2,0,1,0,0,2,0,1,0,1,1,1,0,2,0,0,0,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,1,2,0,0,0,0,0,2,1,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,2,0,1,1,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,1,2,0,2,1,0,1,0,1,0,0,1,0,0,0,1,2,0,0,0,0,0,0,0,1,0,1,0,1,0,0,2,0,1,2,0,1,1,1,1,0,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,1,1,0,1,2,0,1,1,1,0,1,0,0,2,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,1,0,2,1,0,0,0,0,2,0,0,2,1,1,0,2,0,0,1,1,1,0,0,0,0,1,0,0,0,1,2,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,2,0,0,0,1,1,0,0,0,1,0,0,0,1,1,1,1,1,2,0,0,0,0,1,0,0,2,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,2,1,0,0,0,0,1,2,0,0,1,0,1,0,0,0,1,0,1,0,0,1,1,0,1,2,1,0,0,2,2,1,0,0,0,0,1,2,0,1,1,0,0,1,1,1,2,0,1,1,0,0,1,1,0,0,1,0,2,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,2,1,0,1,2,0,0,0,1,0,0,1,1,1,0,0,0,1,2,0,1,1,0,1,2,0,1,1,1,1,1,0,0,1,0,2,0,1,0,1,1,1,0,0,0,1,0,0,0,0,2,0,0,1,0,1,1,1,1,0,0,2,1,0,1,0,0,0,0,0,0,2,0,1,1,2,1,0,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,1,1,0,1,1,0,1,0,2,0,1,0,1,0,1,1,0,1,1,0,1,1,0,2,1,0,0,0,0,2,0,0,1,1,2,2,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,1,1,0,1,1,2,2,2,0,2,1,1,1,0,0,0,1,1,1,0,0,2,2,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,1,0,0,1,0,1,1,1,0,0,0,0,2,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,2,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,2,1,1,0,2,1,2,1,1,1,0,0,0,1,2,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,2,1,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,1,0,0,1,2,1,1,1,0,1,0,1,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1 1,0,2,1,0,0,1,0,1,1,2,1,1,1,0,2,0,1,1,0,0,0,0,0,1,2,1,2,1,2,0,0,0,1,0,0,2,0,0,0,0,1,1,2,1,0,0,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,1,2,1,1,0,2,1,1,1,2,1,0,0,0,0,0,1,0,2,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,2,0,0,2,1,0,0,0,0,2,1,0,0,2,1,0,1,1,0,0,0,0,2,0,0,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,1,0,0,1,0,1,2,0,0,1,1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,2,0,0,2,0,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,2,0,0,1,1,0,1,0,0,0,0,1,0,2,1,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,1,1,2,0,0,2,0,1,0,1,0,1,0,1,0,1,0,0,2,1,0,0,0,0,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,2,0,1,2,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,1,1,2,1,1,0,1,1,0,0,0,0,0,0,2,0,0,0,2,0,1,0,0,0,0,0,2,0,0,1,1,1,1,0,1,1,1,1,2,0,2,0,1,0,0,0,0,1,1,1,0,2,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,2,2,0,0,1,0,0,0,2,2,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,1,2,0,0,0,1,1,0,0,1,0,0,2,1,0,0,0,0,0,1,1,2,0,0,2,1,1,1,0,1,0,1,2,1,2,0,0,2,0,1,1,2,1,1,1,1,1,0,2,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,2,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,2,2,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,1,1,1,2,0,0,0,0,1,0,1,0,0,0,0,2,1,1,0,0,0,1,1,1,1,2,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,2,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,2,1,1,0,0,0,1,0,1,1,2,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,2,0,0,0,0,1,2,0,0,0,0,0,1,1,0,0,0,1,2,0,2,0,0,0,0,1,0,0,0,1,1,0,0,2,1,1,0,0,0,0,0,0,0,2,1,0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,1,2,0,0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,1,1,0,0,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,2,0,2,1,1,0,1,1,1,0,0,0,1,1,2,0,2,0,1,0,0,0,0,2,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,1,2,0,0,1,0,0,1,1,2,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,2,2,1,0,0,1,0,0,0,1,0,0,1,2,0,0,0,1,1,1,0,1,1 0,0,2,2,0,0,2,1,0,1,1,0,0,2,0,0,1,2,1,0,0,0,0,0,2,0,2,2,0,1,0,0,0,0,1,0,1,1,0,0,1,1,2,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,2,1,2,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0,2,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,2,0,0,0,1,2,1,0,1,1,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,0,2,2,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,2,0,0,0,0,2,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,1,0,2,0,0,0,1,2,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,2,0,0,1,1,2,0,0,0,0,1,0,1,1,0,0,0,0,2,2,0,1,0,0,1,0,1,1,1,1,0,0,2,0,0,2,1,0,1,0,1,0,0,1,2,1,1,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,2,1,0,1,0,1,0,2,1,1,0,0,0,1,2,2,0,1,0,0,1,0,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,2,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,2,0,0,0,0,0,0,0,0,1,0,2,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,2,0,2,0,1,1,2,0,2,1,1,0,0,0,1,0,2,1,0,1,0,0,0,2,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,2,2,0,0,1,1,0,0,2,1,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,2,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,2,0,1,0,2,0,0,0,1,0,1,0,2,0,0,0,1,1,1,1,1,0,2,0,2,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,2,0,0,1,1,0,0,2,0,1,0,2,1,2,0,0,1,0,1,0,2,1,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,2,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,2,0,0,1,0,0,0,1,1,1,0,1,0,0,1,1,1,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,2,1,2,1,0,1,0,1,0,0,0,2,0,1,0,2,0,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,1,1,2,0,0,0,0,1,1,0,0,1,2,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,2,2,1,0,1,0,0,1,2,2,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0,1,1,0,2,0,2,0,0,0,1,0,0,1,1,1,0,1,0,2,1,0,0,0,1,0,1,0,1,0,0,0,2,0,0,1,0,1,0,1,0,1,0,2,1,1,1,1,1,0,1,2,0,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,2,0,0,1,0,0,2,1,1,0,0,0,1,0,0,1,0,1,1,0,0,1,1,1,0,1,0,1,2,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,2,1,1,2,0,0,1,0,0,1,0,1,0,1,1,0,1,2,1,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,2,1,0,1 0,0,2,0,0,0,0,0,1,1,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,2,1,1,0,2,0,1,0,0,0,1,0,0,2,1,0,0,1,0,0,0,1,1,1,0,1,1,0,0,2,2,0,1,2,1,0,0,0,0,0,2,1,0,0,0,1,0,1,0,0,0,0,2,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,1,1,2,0,0,1,1,0,1,0,0,0,1,0,2,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,2,0,1,0,2,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,2,0,1,1,2,1,1,2,0,0,0,1,0,0,0,2,0,1,1,1,0,0,0,0,0,2,2,0,0,0,0,0,0,2,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,1,2,0,1,1,1,0,0,2,0,0,0,0,1,1,0,0,0,0,2,1,2,2,1,0,0,2,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1,1,1,1,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0,1,2,2,1,1,0,1,0,0,1,1,1,2,0,1,0,2,1,2,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,1,0,1,0,2,0,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,2,1,0,1,0,1,1,0,1,0,2,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,1,2,1,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,2,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,1,1,2,0,0,0,1,0,1,0,0,2,0,2,1,1,1,0,0,1,1,2,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,1,2,0,2,1,1,0,0,0,0,1,0,1,1,0,1,2,0,1,0,1,1,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,1,0,1,0,2,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,1,2,0,0,0,0,0,1,0,2,0,1,0,2,1,0,0,1,1,0,0,1,2,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,2,0,0,0,1,1,1,1,0,0,0,0,2,2,2,0,0,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,1,2,1,0,1,1,0,0,1,1,1,2,2,0,2,0,0,1,1,0,0,0,0,0,1,0,0,0,2,2,0,0,2,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,2,0,1,1,0,0,0,1,0,0,2,0,1,0,1,0,1,2,0,0,0,1,2,0,1,0,0,1,1,1,0,1,0,1,0,1,2,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0,1,0,2,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,0,2,1,0,0,0,0,0,2,2,0,1,1,2,1,0,0,0,0,1,1,1,2,0,0,1,0,0,1,0,0,2,0,0,0,2,0,1,0,0,0,0,2,1,1,1,1,2,2,0,0,0,0,1,0,0,0,1 0,0,1,1,2,0,0,0,0,1,2,0,0,1,1,0,1,2,1,0,1,1,1,0,0,2,0,0,1,0,2,0,1,0,0,0,1,1,0,1,2,1,0,1,1,0,0,1,1,0,1,0,0,0,2,0,2,0,2,1,1,0,1,0,0,0,0,1,1,0,1,1,2,1,0,2,0,1,0,0,0,0,1,2,1,1,1,0,1,1,1,2,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,1,2,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,2,0,0,1,0,0,1,0,2,0,1,0,0,1,0,0,0,1,2,0,1,1,2,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0,2,1,0,0,1,1,1,0,0,0,2,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,2,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,2,0,1,1,1,2,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,1,1,2,1,0,0,0,2,1,0,0,0,0,0,0,2,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0,0,1,2,0,0,1,1,0,0,0,1,2,1,1,1,0,0,1,0,1,0,0,1,2,0,0,1,0,2,0,1,2,0,0,1,0,0,0,0,1,0,1,1,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,1,2,0,0,0,0,2,0,0,0,0,1,0,1,2,1,1,0,2,0,0,0,0,1,0,1,0,0,0,0,1,2,2,0,0,1,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,2,0,0,0,1,0,0,0,2,0,2,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,2,1,1,0,1,0,0,0,2,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,2,1,0,1,1,0,0,0,0,0,1,1,1,1,2,0,1,1,0,0,0,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,1,0,2,0,0,0,1,2,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,2,1,0,1,1,0,0,1,0,0,0,2,0,1,1,1,0,0,0,1,0,1,0,0,1,0,2,0,0,0,2,0,0,1,1,0,1,1,0,0,1,0,1,0,0,2,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,2,0,1,1,1,1,1,2,0,2,2,0,1,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,1,1,0,1,0,2,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,2,0,0,1,0,1,0,0,1,0,0,0,2,0,1,1,0,1,0,0,0,0,0,1,0,1,2,0,1,1,1,2,1,2,0,1,0,2,0,1,0,1,1,2,1,0,1,1,0,0,2,0,1,1,1,1,0,0,0,1,0,0,0,0,1,2,0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,2,2,0,0,0,0,0,1,0,0,2,1,0,0,0,2,0,1,1,0,0,1,1,1,1,2,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,2,0,2,0,0,2,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,2,1,1,0,0,2,0,0,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1 2,0,1,1,0,0,1,1,1,0,0,2,0,1,2,0,0,2,1,0,0,0,0,1,0,1,2,0,0,0,1,0,1,0,1,0,1,0,0,0,1,2,0,1,2,2,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0,2,0,0,2,1,1,2,1,1,2,1,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,1,1,0,2,0,0,1,0,1,0,0,0,1,0,0,1,0,0,2,1,1,0,1,0,0,0,1,0,1,0,0,0,2,1,0,0,1,1,1,1,0,0,0,1,2,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,1,2,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,2,0,1,0,0,1,2,1,0,0,0,0,0,0,0,0,1,1,1,0,0,2,0,0,0,1,2,1,0,1,1,0,1,1,2,2,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,2,0,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,2,1,0,0,0,1,1,0,1,0,1,0,1,1,0,0,0,1,2,0,2,1,1,0,1,0,2,2,1,0,1,0,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,2,0,0,0,0,2,2,0,0,2,1,1,1,1,0,1,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,1,2,1,0,1,0,1,2,1,2,0,1,0,0,2,1,1,0,0,1,0,0,1,1,1,0,0,0,2,0,1,0,1,2,1,0,0,1,1,1,0,0,0,2,1,0,0,0,2,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,2,1,1,0,1,2,0,0,2,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,2,1,1,0,1,0,1,2,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,2,0,0,0,0,2,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,2,2,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,1,2,1,2,0,1,0,0,1,0,1,0,0,0,1,2,0,0,0,0,1,1,0,1,2,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,1,2,1,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,1,1,1,0,1,0,0,1,0,0,2,2,0,0,0,1,0,2,0,0,0,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0,2,2,1,2,2,0,0,0,0,0,0,0,0,2,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,1,2,1,0,1,1,1,0,0,0,1,0,0,1,2,0,0,0,2,1,0,1,1,0,1,0,1,0,1,0,0,2,1,1,1,0,1,0,0,1,0,0,0,0,0,0,2,1,1,1,0,0,0,0,1,2,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,2,1,1,1,0,0,1,0,0,0,0,2,0,0,2,1,1,0,0,1,0,0,1,0,2,0,0,0,2,1,0,0,1,1,1,0,1,1,0,0,1,0,2,0,1,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,1,1,2,2,2,0,0,1,0,0,1,1,0,1,0,0,0,0,1,1,2,0,0,0,2,0,1,0,2,0,1,0,0,0,0,1,1,1,0,1 0,0,1,0,2,1,0,0,1,0,1,1,0,2,2,1,0,2,0,1,0,1,2,0,0,1,0,1,0,0,1,0,2,0,0,0,1,0,0,0,1,2,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,2,0,0,0,0,1,2,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,2,0,1,2,2,1,0,0,1,0,1,0,1,2,1,1,0,0,0,0,0,1,0,1,1,2,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,2,0,0,0,0,1,1,0,1,0,1,1,0,0,0,1,1,1,2,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,1,0,1,0,1,1,0,1,1,0,1,1,0,2,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,2,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,2,1,0,0,1,0,1,0,1,1,0,0,2,0,1,0,0,0,1,1,0,0,2,0,0,0,0,0,2,0,0,0,0,2,1,0,0,2,2,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,2,1,1,0,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0,1,1,2,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0,0,2,1,0,1,0,0,1,0,0,1,1,2,2,0,0,0,0,1,0,1,2,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,2,0,1,0,0,0,0,0,0,0,0,0,1,1,2,2,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,2,0,1,1,0,1,1,0,0,0,0,1,0,2,1,0,1,0,0,0,1,2,0,0,1,1,0,0,0,0,2,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0,2,1,0,0,0,1,0,1,1,1,0,0,0,1,0,2,0,0,0,1,0,0,1,1,0,0,0,0,1,2,0,0,2,1,1,1,0,1,1,0,0,0,0,0,0,1,2,0,0,0,0,1,2,0,0,0,0,1,0,1,0,0,2,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,2,1,2,1,1,0,2,0,0,2,1,0,0,1,0,1,0,0,0,2,0,2,0,1,0,0,1,1,0,0,2,1,2,1,0,0,1,1,1,0,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,2,0,1,0,0,0,0,0,0,0,2,2,1,1,0,0,0,0,0,0,1,0,1,0,0,1,1,2,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0,2,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,2,1,0,1,1,1,0,0,0,0,0,0,1,1,0,1,0,2,0,1,0,0,1,0,1,2,0,1,0,1,0,0,1,0,2,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,2,0,0,2,0,0,0,1,1,1,0,0,0,1,2,1,0,1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0,1,1,2,1,1,0,2,0,1,0,0,1,0,1,0,0,1,1,1,1,0,1,0,0,2,1,2,1,0,0,2,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0,2,1,0,1,1,0,1,2,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1 0,0,1,0,0,0,0,0,1,0,2,1,0,0,0,1,0,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,2,1,0,0,0,1,1,2,1,0,0,2,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,2,1,1,0,0,0,0,0,0,0,0,0,0,1,2,2,2,1,0,0,1,1,0,0,0,1,0,1,0,2,1,0,0,0,1,0,0,2,0,1,1,1,0,0,0,2,2,0,0,1,2,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,2,0,1,2,1,0,1,1,1,0,1,2,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,2,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,2,0,1,1,1,1,0,0,0,2,2,0,1,0,0,0,1,0,0,1,0,1,0,0,2,1,1,0,1,0,1,1,0,0,1,2,2,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,2,0,0,0,1,1,0,0,1,0,1,1,2,0,0,1,2,1,1,1,0,2,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,2,1,1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0,2,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,2,1,0,1,1,0,0,1,2,0,1,0,0,1,2,0,0,0,2,1,0,0,1,0,0,0,0,2,0,1,1,0,0,1,1,0,0,0,2,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,1,0,0,1,1,2,0,1,0,0,0,0,0,1,1,0,0,1,0,0,2,0,0,1,1,1,0,0,0,2,0,1,0,1,0,1,1,0,1,1,0,0,2,0,0,0,1,0,0,0,0,2,0,0,1,1,2,2,0,1,1,0,1,0,0,0,1,0,0,1,0,0,2,0,0,0,2,1,2,0,1,1,2,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0,2,1,1,0,0,0,2,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,2,0,1,0,0,0,1,2,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,2,1,0,0,2,1,1,0,1,1,2,0,2,0,1,1,0,1,1,2,2,2,1,0,1,0,1,1,0,2,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,2,0,0,0,1,2,0,2,1,0,0,2,0,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,2,0,0,0,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0,2,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,2,0,1,0,0,0,0,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,2,1,0,0,0,1,1,0,1,0,1,0,0,0,2,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,2,2,0,1,1,0,1,1,0,0,1,0,0,0,2,1,1,1,2,0,1,0,0,0,0,0,0,0,2,1,0,1,1,1,0,0,1,0,1,0,1,0,1,2,0,1,1,1,2,0,0,0,0,1,0,2,1,1,0,0,2,0,1,1,1,0,0,0,0,0,2,0,0,2,0,0,0,0,0,2,1,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,2,1,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,0,1,0,2,1,0,0,1,0,0,0,1,1,1,0,1,1,0,0,0,1,1,1,0,1,1,2,1,1,0,0,2,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,2,0,0,0,1 1,0,1,1,0,0,0,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,1,1,1,1,1,0,2,1,0,2,1,1,0,0,2,0,2,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0,1,1,2,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0,0,2,0,1,1,0,1,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,2,0,1,0,2,0,1,0,0,0,0,0,1,1,1,0,2,1,2,0,1,1,0,2,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,2,0,0,0,1,0,0,1,1,0,2,2,1,0,1,2,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,1,0,2,0,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0,2,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,2,1,0,0,0,1,0,1,0,2,0,0,1,0,0,1,0,0,0,2,0,0,0,1,0,0,1,0,0,0,2,1,1,1,0,1,1,0,0,0,0,0,2,1,1,1,0,0,2,0,1,1,0,0,1,0,1,1,0,1,1,0,1,1,0,0,2,0,0,1,0,0,1,0,1,0,0,0,1,0,0,2,1,0,1,0,1,0,2,0,0,1,1,0,0,1,0,1,0,2,2,1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,2,0,0,0,1,0,1,0,2,0,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0,1,1,0,2,0,1,0,2,1,1,1,0,1,0,0,2,0,0,0,0,1,2,1,0,0,2,0,2,0,1,1,1,1,0,1,0,1,1,0,0,2,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,1,0,0,1,1,0,2,0,2,0,0,0,0,0,1,2,0,0,1,0,2,0,0,2,0,0,0,1,0,2,0,2,1,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,2,0,0,0,2,1,0,1,0,2,1,0,0,0,0,0,2,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,2,1,0,0,1,0,0,0,1,1,2,0,0,0,0,1,0,0,0,1,2,0,1,1,0,0,1,1,1,2,1,0,0,0,2,1,2,1,0,0,0,2,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,2,1,1,1,1,0,1,1,2,0,0,1,0,1,0,1,2,1,0,2,1,0,1,0,0,1,2,0,0,0,0,1,1,0,2,0,0,0,1,0,0,0,0,0,0,2,0,0,1,0,1,1,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,1,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,1,1,2,1,1,0,1,2,0,1,0,2,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,1,2,0,0,0,0,0,0,0,2,2,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,2,0,1,0,1,0,1,0,1,1,1,0,1,0,0,2,0,0,1,1 0,0,2,1,0,0,0,2,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,2,0,2,2,0,2,0,1,0,0,0,2,1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,2,0,0,0,0,1,2,0,2,0,0,1,0,1,0,1,0,2,1,0,0,0,0,0,1,0,1,1,0,2,0,2,0,0,0,1,0,0,0,1,0,1,1,1,0,1,2,0,0,0,2,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,1,2,0,2,0,1,1,1,0,0,0,0,2,0,0,0,0,1,0,0,0,1,1,0,0,2,0,1,0,0,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,2,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,2,0,0,0,2,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,2,2,1,0,0,0,1,0,0,1,2,0,1,0,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,2,0,0,2,1,0,0,0,1,2,2,0,0,0,0,1,1,1,0,0,1,2,1,2,1,0,2,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,2,0,0,0,1,0,0,1,0,0,0,1,0,0,2,0,0,1,1,2,1,0,0,1,1,1,0,0,0,1,2,0,2,2,0,0,0,2,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,1,1,0,0,2,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,1,1,0,0,0,1,2,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,2,0,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,2,2,1,0,0,1,1,0,0,1,2,1,0,1,0,2,0,1,1,0,1,0,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,2,0,2,0,0,1,0,0,0,0,0,0,2,0,1,1,1,0,0,1,0,2,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,2,2,1,1,0,2,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,2,0,0,1,0,0,0,2,2,1,0,0,0,0,0,1,1,1,2,0,0,0,0,0,1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,2,1,0,0,1,2,1,0,0,0,1,2,0,1,0,1,2,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,2,0,0,1,1,0,1,0,0,1,1,0,2,1,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,2,0,1,0,0,1,1,0,0,0,1,0,1,0,1,2,2,0,1,2,1,0,0,0,0,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,2,2,0,1,0,0,1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,2,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,2,0,0,0,0,1,0,2,1,0,2,1,0,0,0,0,0,0,1,0,0,1,1,1,2,2,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,2,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,1,2,0,1,2,2,1,0,2,0,1,0,0,2,0,1,1,1,0,0,0,1,0,0,1,0,2,1,1,0,1,1,0,0,0,0,2,2,2,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,0,1,2,0,0,0,0,1,1,1,0,1,1,0,2,0,1,0,1,1,1,1,2,1,0,0,1,0,1,0,0,0,0,0,1,1,1,1,2,2,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,1 1,0,2,0,0,0,0,1,2,0,1,0,1,1,1,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,2,0,1,1,0,0,2,0,0,0,0,2,0,0,0,0,1,2,0,1,1,1,0,0,1,0,2,0,1,0,1,0,0,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,2,0,0,1,0,2,0,0,0,1,0,1,0,0,1,0,0,0,1,0,2,0,1,1,1,1,1,0,0,0,0,0,2,1,0,2,0,0,1,0,0,1,0,1,2,0,0,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,2,0,2,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,2,0,1,1,1,1,1,0,2,0,0,0,0,0,0,2,0,2,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,2,1,0,1,1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,2,0,0,0,2,0,0,0,0,0,0,0,1,2,1,0,1,1,1,1,2,0,0,0,0,1,1,0,0,0,0,1,2,0,1,1,1,2,1,1,0,2,1,0,1,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,2,0,0,1,0,1,0,0,0,1,1,0,1,0,0,0,1,2,1,0,0,0,0,2,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,2,0,2,0,1,0,0,2,2,0,1,1,0,0,0,0,1,0,1,0,2,1,0,0,1,0,0,1,2,1,1,1,0,2,2,2,1,0,2,0,0,0,0,1,1,0,2,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,2,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,1,2,2,0,0,0,2,1,0,0,1,1,1,0,2,0,0,0,1,1,1,0,1,0,1,0,0,1,0,2,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,2,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,0,0,2,1,1,1,0,0,0,2,1,0,0,0,0,0,0,1,0,1,1,1,1,0,1,2,0,0,0,1,1,1,1,0,1,1,2,0,0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,2,0,0,0,1,0,1,1,1,1,0,0,0,1,0,0,2,0,0,1,1,0,0,2,0,0,0,1,0,0,1,2,1,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0,1,2,0,0,1,0,0,1,0,2,0,1,1,1,0,2,0,0,0,0,0,0,1,0,0,2,2,1,1,1,0,0,1,0,0,0,1,0,1,2,1,2,2,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,1,2,2,0,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,2,0,0,0,2,0,0,0,1,1,0,0,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,2,0,2,1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,2,1,1,0,1,0,1,2,1,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,1,2,1 1,0,0,2,1,1,0,1,1,1,2,0,1,1,1,1,1,2,1,0,0,1,0,0,1,0,2,1,0,0,2,0,0,1,0,0,1,0,2,0,2,1,0,2,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,2,1,0,1,1,0,0,0,1,0,0,1,0,2,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,1,2,0,1,0,1,0,1,1,0,1,0,0,2,0,0,0,0,1,0,1,0,0,1,0,0,1,2,0,0,0,0,1,1,1,1,0,0,1,0,0,2,1,1,0,0,1,0,0,0,0,2,1,0,0,0,1,0,2,0,0,0,0,0,2,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,1,2,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0,2,1,0,2,1,0,0,0,1,0,0,1,0,2,1,2,0,0,1,1,1,1,1,2,1,1,2,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,2,1,1,1,0,0,1,0,2,2,0,0,0,1,1,0,0,1,0,1,1,0,2,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,2,1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,2,0,0,0,1,0,0,0,1,0,1,0,1,0,2,1,2,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,1,1,1,2,0,1,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0,2,0,1,1,0,0,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,0,1,1,0,2,0,0,0,0,0,1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,2,0,1,0,0,1,0,1,0,0,0,2,0,0,0,1,0,1,2,1,0,1,1,0,0,1,0,0,0,0,1,0,2,0,0,0,2,1,0,0,0,0,0,0,2,1,1,1,0,0,1,0,0,0,1,1,2,1,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,1,1,0,1,0,1,0,1,1,0,0,1,2,0,0,1,2,1,1,2,0,1,0,0,1,1,2,0,1,0,0,0,0,0,2,0,1,0,1,0,0,0,2,1,1,0,2,1,0,1,1,0,1,0,0,0,2,1,0,1,2,0,0,2,0,1,2,2,2,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,2,0,0,0,1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0,2,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,2,0,0,0,0,0,0,0,1,1,2,1,0,2,1,0,0,0,2,1,0,1,0,0,0,1,1,0,1,1,0,2,0,0,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,2,2,0,0,0,0,0,1,1,0,1,2,1,1,1,2,2,0,0,0,1,0,0,2,0,0,0,2,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,2,2,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,2,0,1,1,0,1,0,0,0,1,0,1,2,2,1,0,0,1,1,2,2,2,0,0,0,0,0,0,0,1,0,0,1,1,2,0,1,1,1,0,0,1,2,1,1,1,0,2,0,0,0,0,2,1,0,1,1 0,0,0,0,0,0,1,0,0,0,1,2,0,1,1,0,0,0,0,0,0,0,1,0,1,2,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,2,1,1,0,1,0,0,1,2,2,0,0,0,0,0,1,0,2,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,1,1,0,0,1,2,0,0,1,0,1,0,0,0,0,1,0,2,2,1,0,0,1,0,0,1,0,1,0,0,0,0,2,1,0,0,0,0,0,0,1,2,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,2,0,1,0,0,0,0,2,0,0,0,1,0,1,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,0,1,0,1,2,1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,2,1,0,0,0,2,2,0,1,1,0,0,2,0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,2,1,1,1,1,0,0,0,0,0,1,0,0,0,1,2,0,2,0,0,2,2,0,0,1,1,1,0,0,0,2,0,1,1,0,0,0,0,0,1,0,2,0,0,0,0,0,2,1,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,1,2,0,0,0,1,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,2,0,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1,0,0,1,2,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,2,1,1,0,0,0,0,2,0,1,1,0,1,2,0,1,0,1,0,1,1,0,0,1,0,1,1,1,2,0,0,0,1,0,0,0,0,1,1,1,0,0,2,0,1,0,0,0,0,2,1,1,0,0,0,0,2,0,1,0,1,1,2,0,0,0,0,1,2,0,0,2,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1,2,1,0,1,0,0,2,1,0,1,1,1,0,0,0,2,0,1,0,0,0,1,0,0,0,1,2,0,0,0,1,1,1,0,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,1,1,2,0,1,1,2,0,1,2,1,1,0,1,1,2,2,1,0,0,0,0,1,1,2,1,0,2,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,2,0,1,0,1,0,0,1,0,1,2,0,1,0,1,0,0,0,0,0,0,2,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,2,0,1,1,2,0,0,0,0,0,0,1,0,0,0,1,0,1,2,1,2,2,2,0,0,0,0,2,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,2,0,0,0,1,2,1,2,1,1,1,0,0,1,1,0,0,1,2,0,0,1,1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0,1,0,2,2,0,0,0,0,0,0,1,0,0,0,2,0,1,1,0,1,1,1,1,1,1,1,0,0,2,0,1,0,1,1,0,1,0,0,1,1,1,1,1,2,1,0,0,1,0,0,1,1,0,2,1,1,0,0,0,2,1,0,1,0,1,2,0,1,0,2,1,0,0,0,0,1,0,2,0,0,0,0,1,0,2,0,0,0,0,1,1,2,1,0,2,1,0,0,0,1,0,2,2,0,1,1,2,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,2,0,0,2,0,0,0,0,1,1,0,2,0,1,1,2,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1,1,2,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,2,0,0,2,0,0,0,0,0,1,2,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,1,1,0,1 1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,2,0,0,1,0,0,1,2,0,1,2,2,1,0,0,0,0,1,1,1,0,0,0,0,1,1,2,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,2,1,0,0,0,0,0,1,0,2,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,2,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,2,1,0,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0,1,2,0,1,1,0,0,0,0,0,0,1,1,1,0,2,1,0,1,0,0,1,2,0,0,1,0,2,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,2,1,0,1,0,1,0,2,1,0,1,1,1,1,0,1,0,0,0,0,0,0,1,0,2,1,1,0,0,0,0,1,0,0,2,0,0,0,1,0,1,0,1,1,0,2,0,0,1,0,2,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,2,1,0,0,1,1,1,1,1,0,1,0,0,0,1,0,0,2,0,1,2,1,0,1,1,2,2,1,2,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,1,1,0,1,1,2,1,0,2,0,0,0,0,0,0,2,0,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,1,2,1,1,0,1,1,0,1,0,0,0,2,0,0,0,0,1,1,0,0,1,1,1,0,2,0,0,0,0,0,1,2,1,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,1,1,0,1,0,0,2,0,0,1,0,0,0,1,0,0,1,0,2,1,0,1,1,0,2,1,0,1,2,0,0,1,1,0,0,2,1,1,0,2,2,1,0,1,0,0,0,0,1,0,0,0,2,0,2,0,0,0,2,2,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,2,0,0,1,1,0,2,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,1,1,1,1,0,2,0,1,1,0,0,1,0,1,2,1,1,1,0,0,0,0,1,0,0,0,2,1,0,0,1,1,1,2,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,2,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,2,0,2,0,1,2,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,2,0,1,1,1,0,0,1,0,1,2,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,2,0,0,0,0,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,2,0,0,0,1,0,0,0,1,0,1,2,0,1,0,0,0,1,0,0,2,0,2,1,0,1,0,2,1,2,0,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,1,1,1,1,2,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,2,1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,2,0,0,2,0,0,0,0,0,2,0,0,2,0,0,1,1,1,1,1,0,0,2,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,2,2,2,0,0,1,0,0,1,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1 0,0,1,2,1,0,0,1,0,1,1,0,1,2,1,1,0,0,1,0,0,0,1,0,1,1,1,1,0,2,1,1,1,0,0,0,2,0,0,0,1,1,1,1,1,2,0,2,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,1,1,0,1,0,1,0,1,2,1,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,2,1,1,0,2,1,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,1,0,1,0,0,0,1,0,2,0,0,0,0,0,1,2,1,0,1,0,0,0,2,1,0,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,1,0,1,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,2,0,1,0,2,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,2,1,0,0,0,0,1,0,0,1,2,0,2,1,1,0,0,0,0,0,0,1,1,1,2,1,0,2,0,1,0,2,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0,2,1,1,0,0,1,1,0,0,0,0,0,2,0,1,0,0,2,0,1,2,2,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,2,0,0,0,1,1,0,2,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,2,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,2,0,1,0,0,1,1,1,0,0,2,0,0,0,1,1,0,0,0,2,2,0,0,1,1,0,0,0,0,2,1,1,1,0,0,0,0,0,1,0,0,1,0,0,2,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,2,0,0,0,1,1,1,0,1,2,0,0,1,0,0,0,1,1,0,1,0,2,1,0,0,1,1,1,0,0,1,0,1,2,0,1,0,0,0,2,0,2,0,1,0,0,2,0,0,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,2,2,0,0,1,1,1,1,0,0,1,1,1,0,1,1,2,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,0,2,0,0,2,2,1,0,1,0,1,0,0,0,0,0,1,2,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,2,0,2,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,2,2,1,1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,1,1,2,1,1,0,0,0,1,1,2,1,1,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0,2,1,1,1,1,1,0,0,1,2,1,0,2,0,0,2,0,0,1,2,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,1,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,2,1,2,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,0,2,1,1,1,0,0,1,2,2,0,0,1,0,2,0,1,0,0,0,1,0,0,0,1,1,0,0,0,2,1,1,2,0,0,1,1,1,0,0,1,1,0,2,2,0,1,2,0,1,1,0,0,1,1,2,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0,1,0,0,1,2,1,0,0,0,1,0,0,1,1,0,2,2,0,0,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,2,1,1,0,0,1,0,2,2,1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,2,1,2,0,0,2,0,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,2,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,1 0,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,2,0,0,0,1,1,0,1,1,1,1,0,1,2,0,1,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,2,0,0,0,1,1,0,0,1,1,0,1,0,0,0,0,1,1,2,0,0,0,0,0,0,1,0,0,0,1,0,0,2,1,1,0,0,0,0,0,0,1,1,1,1,0,1,1,0,1,1,2,0,2,0,0,1,0,1,1,0,1,0,1,1,1,0,1,1,0,0,2,2,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0,1,1,1,1,1,1,0,0,1,0,1,0,2,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,1,0,2,1,1,0,0,1,1,0,1,0,0,0,1,1,2,0,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,1,1,2,0,0,1,0,1,1,2,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,2,0,0,1,1,1,1,1,0,1,0,0,0,1,2,0,0,1,0,0,0,1,0,0,0,1,1,0,0,2,1,0,0,2,0,2,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,1,2,1,2,1,1,0,0,2,1,1,1,1,0,1,0,1,2,0,0,0,2,0,0,0,1,1,0,0,0,0,1,0,0,0,0,2,1,1,0,0,0,1,1,0,2,0,1,0,0,0,1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,2,1,0,1,0,1,1,0,0,1,1,2,0,0,1,1,1,0,1,1,0,0,0,1,2,0,0,0,0,0,1,1,0,1,0,1,1,0,0,1,0,2,0,0,1,0,1,0,0,0,0,0,2,0,1,1,0,0,0,2,2,0,0,1,0,0,0,1,0,2,0,0,0,0,1,0,0,1,0,1,0,1,2,0,2,1,1,0,2,0,0,0,1,0,0,1,0,2,1,2,0,0,0,0,1,2,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0,1,2,0,0,1,1,1,0,1,0,1,0,0,0,2,0,1,0,0,0,1,1,1,0,2,0,0,0,1,2,0,1,0,1,1,0,2,0,0,0,0,1,0,0,1,0,0,1,2,2,0,1,0,0,2,1,0,1,2,1,1,0,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,2,2,0,0,0,0,1,2,0,1,0,2,1,1,0,2,1,0,0,1,0,0,0,2,2,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,2,1,0,0,1,0,2,1,0,2,2,0,0,0,2,1,0,0,0,0,1,0,1,1,2,0,0,2,0,1,0,1,0,1,2,2,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,1,2,2,1,0,0,2,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,2,0,0,0,0,2,0,1,1,1,0,1,0,0,0,0,0,0,0,1,1,2,2,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1,0,0,2,0,0,1,2,2,1,1,2,2,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,2,1,0,1,1,0,0,2,0,2,0,0,1,2,0,1,0,1,0,0,1,1,0,0,0,0,0,2,2,0,2,1,0,0,0,0,1,0,2,0,0,1,0,0,1,1,1,2,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,2,0,0,2,0,1,0,1,0,2,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,2,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,2,0,0,1,0,0,1,2,0,1,0,0,0,1,1,2,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,1,0,1 1,0,1,2,0,1,0,1,2,0,2,1,0,1,0,1,1,1,1,0,0,1,0,1,1,1,0,2,0,0,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,2,0,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,1,1,0,0,1,2,0,0,2,0,1,0,0,2,1,0,0,1,0,0,0,1,2,0,0,1,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,1,1,0,2,0,0,1,0,0,0,2,1,0,1,0,1,0,0,1,1,1,0,0,1,1,1,0,1,0,1,2,1,2,0,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,1,2,2,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,2,1,1,0,2,0,0,0,1,0,1,2,0,1,2,1,0,1,0,1,0,0,1,0,1,0,1,0,0,2,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,1,0,2,0,2,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0,0,2,0,1,1,0,1,0,1,1,0,2,0,1,1,0,1,0,0,0,0,0,0,1,0,1,2,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,1,1,1,1,2,1,1,0,1,2,1,2,2,0,0,2,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,2,2,0,0,0,0,1,0,0,1,0,0,0,2,1,0,1,0,1,1,1,2,0,2,0,0,0,0,0,2,1,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,2,1,0,2,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,2,1,0,1,0,0,0,1,0,1,0,1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,0,1,1,0,0,2,0,2,1,0,0,2,0,1,0,2,1,1,1,0,2,1,0,0,1,2,2,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,2,0,0,1,0,1,0,1,0,0,1,0,2,2,1,1,1,0,0,0,1,0,2,1,0,1,1,1,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,2,1,0,1,1,0,0,0,0,0,0,0,1,1,1,2,1,0,0,0,2,2,0,1,0,1,2,0,0,0,2,1,0,2,1,0,0,1,1,0,1,0,1,0,1,2,1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,1,1,1,0,1,0,0,1,2,2,1,1,1,2,2,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,2,1,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,2,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,2,0,1,2,1,0,2,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,2,1,0,1,0,1,0,0,0,0,0,1,2,1,1,1,1,2,1,1,0,0,1,0,1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,2,0,2,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,1,2,1,0,2,1,0,0,1,1,2,0,1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,2,1,1,0,1,0,0,0,0,2,0,1,1,0,1,0,0,0,0,0,0,2,1,1,0,0,0,2,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,2,1,0,0,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0,1,1 2,0,0,0,1,0,0,0,1,1,2,2,0,0,0,0,0,1,1,0,0,0,0,0,2,1,1,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,2,2,1,0,0,0,0,0,0,2,2,0,0,1,0,0,0,0,0,0,0,1,1,2,0,1,0,1,0,0,0,0,0,0,1,1,0,1,1,1,0,1,2,0,0,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,1,0,1,1,2,0,1,1,0,0,0,0,2,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,1,0,2,0,0,0,0,0,1,0,1,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,2,2,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,1,0,1,1,2,2,0,1,0,1,1,0,2,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,2,0,0,1,1,2,0,0,0,0,1,0,2,0,1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,0,2,1,1,2,0,0,1,0,2,1,1,0,0,0,0,0,0,1,1,1,0,2,1,0,0,2,1,1,0,2,1,1,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,2,1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,2,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,2,1,0,1,0,0,1,0,0,0,0,0,1,1,1,2,0,0,1,0,0,0,0,0,0,0,1,0,1,2,0,2,0,1,0,0,0,0,1,1,1,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,1,1,2,0,0,1,2,0,0,1,0,1,0,1,2,1,2,0,0,0,0,0,1,0,1,1,0,0,0,0,0,2,1,1,1,1,1,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,2,1,1,1,1,0,0,2,1,1,1,1,0,1,0,0,1,0,0,0,2,0,0,0,1,0,0,0,1,1,0,1,0,0,2,0,0,0,1,0,0,2,0,0,0,0,2,2,0,0,0,1,0,2,0,0,1,0,0,1,1,2,0,0,0,0,2,0,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,2,0,1,0,1,0,2,0,1,0,1,0,1,1,1,2,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,2,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,2,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0,2,1,0,2,0,0,0,1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,1,2,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,1,0,1,2,1,0,2,1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,1,1,2,1,2,1,0,0,1,1,0,0,1,0,1,1,0,1,1,2,0,0,0,1,1,0,1,1,1,0,0,0,2,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,2,1,0,0,0,0,1,1,1,0,2,0,1,1,1,0,1,2,0,0,2,2,0,2,0,2,0,0,1,1,0,0,0,0,2,1,1,1,2,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1 0,0,2,1,0,1,0,0,0,1,2,1,0,0,0,0,0,1,0,0,0,0,0,2,0,1,0,1,0,0,1,0,1,0,1,0,1,1,1,0,2,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,2,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,1,2,1,0,1,0,1,1,0,0,1,0,1,0,2,0,2,0,0,0,0,0,0,0,1,1,0,0,1,0,2,1,0,0,1,2,0,0,0,1,2,2,1,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,1,0,1,0,1,0,1,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,2,0,0,0,1,1,0,1,1,1,2,0,1,0,1,0,1,1,0,1,0,0,1,1,0,1,1,0,1,0,1,2,1,1,2,2,0,2,0,1,1,0,0,2,0,0,1,0,2,1,0,0,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,1,1,1,2,2,0,1,0,1,1,1,1,0,2,0,0,0,0,2,1,0,0,0,2,0,0,0,0,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,1,0,1,2,0,2,1,0,0,1,1,1,1,2,1,0,0,0,0,2,0,1,0,0,0,0,2,1,2,0,0,2,0,0,0,1,2,1,1,1,1,0,0,2,0,1,1,0,0,0,2,1,0,0,0,0,1,2,1,1,0,0,2,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,1,1,1,1,0,0,1,0,1,2,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1,0,0,2,0,2,0,0,1,1,0,0,1,0,2,0,0,0,0,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,2,0,1,0,1,2,0,2,0,2,1,2,0,0,1,0,1,2,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,1,0,0,1,2,0,0,0,1,0,0,1,1,0,0,0,1,2,0,1,1,1,0,1,0,0,0,1,1,0,1,2,0,0,0,1,0,1,0,0,1,1,1,1,1,0,0,0,0,2,0,0,0,1,0,2,0,1,1,1,0,0,0,2,2,1,0,0,1,0,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,2,1,2,0,0,0,2,0,2,1,1,0,0,2,1,1,0,0,0,1,0,0,0,2,0,1,0,0,0,0,1,0,2,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,2,2,1,0,1,0,1,0,1,0,1,0,0,0,2,0,0,0,0,1,1,1,1,0,0,2,0,1,2,1,0,2,0,1,0,1,0,1,1,0,1,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,2,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,2,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,2,0,0,0,1,0,2,0,2,1,2,1,1,0,1,1,0,0,1,1,1,1,2,1,0,1,0,2,0,0,0,1,0,2,0,2,0,1,0,0,0,1,0,0,1,0,0,0,0,0,2,1,0,1,1,0,0,1,0,1,1,1,2,1,0,0,0,0,0,0,0,0,2,2,0,1,1,1,1,0,1,1,0,0,0,0,2,2,1,1,0,0,0,1,1,0,1,0,0,0,0,2,2,0,0,0,1,0,0,0,0,1,1,1,1,2,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,1,0,0,2,0,0,1,0,0,2,0,0,1,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,2,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1,1,2,0,1 1,0,0,2,0,1,1,0,0,1,1,0,0,0,0,2,1,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,1,1,1,0,1,2,1,1,0,1,0,0,2,0,0,0,1,0,1,0,1,1,0,0,0,0,0,2,0,2,0,0,1,1,2,0,1,1,0,0,0,0,1,0,1,0,1,1,2,1,2,0,0,0,0,0,1,1,0,1,0,0,1,1,1,1,1,0,0,2,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0,1,0,1,0,1,2,1,0,0,1,0,0,0,0,0,1,2,1,2,0,0,1,0,1,1,0,1,0,0,1,2,0,0,2,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,2,0,1,1,0,1,0,0,0,0,1,1,1,0,2,2,0,0,2,0,2,0,2,0,0,2,1,0,0,2,0,1,1,1,0,0,0,2,1,2,0,1,1,1,0,2,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,1,2,1,0,0,0,1,0,2,0,0,0,0,0,1,0,1,1,0,1,1,2,2,0,1,0,1,1,2,0,0,0,1,0,2,0,1,2,0,1,0,2,1,1,0,0,0,1,0,2,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,2,1,1,0,0,1,0,0,0,0,1,0,0,1,2,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,2,0,1,0,1,1,0,1,1,1,1,1,0,0,2,0,2,1,1,1,0,1,0,0,0,1,1,0,2,0,2,0,1,0,0,0,0,1,0,0,0,0,0,2,1,1,0,1,0,1,1,0,2,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,1,0,1,0,0,0,0,1,1,1,0,0,0,2,0,0,0,1,0,1,1,2,2,0,0,1,1,0,1,2,0,0,1,0,1,0,0,0,0,1,2,1,1,1,0,0,0,0,1,1,1,0,0,0,1,2,0,0,2,0,0,1,1,1,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,2,1,0,0,1,0,0,2,2,0,0,0,1,0,1,1,2,2,0,0,0,0,0,0,1,0,0,1,2,2,0,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,2,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,1,1,0,2,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,1,2,1,2,1,0,1,0,1,0,1,1,0,0,0,1,0,2,1,0,0,2,0,1,0,0,0,2,0,0,0,0,0,1,2,1,2,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,2,1,0,0,1,0,0,2,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,0,0,2,0,1,0,1,0,0,0,0,1,1,1,1,2,0,0,0,2,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,1,0,0,0,0,1,1,1,0,1,1,0,2,0,0,0,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,1,0,2,0,0,0,0,0,0,1,0,0,0,2,1,0,0,1,0,1,0,2,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,2,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,2,0,0,0,1,0,1,0,0,1,2,0,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,1,1,1,0,0,1,0,1,2,0,2,0,0,1,2,1,1,1,1,0,0,0,0,1,1,1,2,0,0,0,0,0,2,0,0,1,1,0,0,1,0,1,2,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,1 0,0,2,1,0,1,0,0,1,1,0,1,1,1,1,0,1,1,1,0,0,0,1,0,0,2,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,2,2,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,1,0,0,0,0,1,0,1,0,1,1,1,1,2,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,2,0,1,0,0,0,0,1,0,0,2,1,0,0,1,1,1,1,0,1,0,2,0,0,1,0,1,0,2,0,0,0,1,1,1,1,1,2,1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,1,1,0,2,0,0,0,1,0,0,1,1,1,0,0,0,1,1,2,1,1,1,0,1,1,0,1,0,0,0,0,0,2,1,0,0,1,2,1,0,1,0,0,0,1,1,0,0,0,0,1,1,2,1,0,1,0,1,0,1,0,0,1,1,2,0,1,1,1,0,2,1,1,0,0,1,1,2,2,1,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,1,0,2,2,0,1,0,0,0,0,2,0,1,0,0,0,1,2,1,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,1,1,0,2,1,0,0,0,1,0,0,1,1,0,2,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,1,0,0,1,1,1,0,0,2,1,0,0,1,1,0,0,1,0,0,2,0,1,0,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,1,0,0,2,0,2,0,0,1,0,0,1,0,1,1,0,2,0,0,0,0,1,1,0,2,0,1,1,0,1,0,0,1,2,2,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0,1,0,1,2,1,1,0,0,0,0,1,0,0,2,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,2,1,1,0,0,1,0,2,0,0,1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,2,0,1,0,0,1,0,0,0,2,1,1,0,0,1,2,0,1,0,0,0,0,0,0,0,1,0,2,1,2,1,1,0,1,1,0,0,1,2,1,0,1,2,0,0,1,2,1,0,0,1,1,2,2,2,1,0,1,0,0,0,0,0,0,1,0,2,1,0,0,0,0,1,0,0,2,2,0,0,0,0,2,0,1,0,1,1,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,1,0,1,0,0,0,2,0,0,1,1,0,0,0,0,1,0,0,0,1,2,0,2,1,0,1,1,0,0,0,1,2,0,0,0,1,0,0,0,0,0,2,0,0,1,1,1,1,0,0,1,2,1,0,2,1,0,2,1,2,0,0,0,0,1,0,1,1,0,0,2,0,0,2,0,1,0,1,2,0,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,2,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,2,1,0,2,0,1,0,0,0,1,0,1,0,0,0,0,1,1,1,1,0,2,1,1,1,0,0,0,1,1,0,2,0,1,0,0,0,0,0,0,0,0,1,1,2,1,0,1,0,0,0,1,2,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,1,1,2,1,1,1,0,2,0,1,2,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,2,0,0,0,1,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,1,1,0,0,2,0,0,0,0,2,0,0,1,2,1,2,0,1,0,1,0,2,0,2,1,0,0,2,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,1,1,0,0,2,0,1,1,0,0,1,0,1,0,1,1,1,1,1,1,1,2,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1 2,0,2,2,0,0,0,1,2,1,1,2,2,1,1,1,0,1,0,0,0,0,1,0,1,2,0,1,1,1,2,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1,2,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,2,0,2,2,0,1,0,0,0,0,0,2,1,0,0,0,0,1,0,0,2,0,0,1,0,0,2,0,0,1,0,0,0,1,0,0,1,0,2,1,0,0,0,0,1,1,1,0,1,0,1,0,1,1,0,0,2,0,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0,2,0,0,0,2,1,1,2,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,2,0,0,1,1,1,1,0,1,1,2,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0,2,1,0,0,0,0,0,0,0,1,0,1,2,1,0,1,0,1,0,0,0,0,0,0,2,0,0,1,0,0,1,0,1,0,0,1,1,2,0,0,1,0,0,0,1,0,1,0,1,1,1,0,2,0,2,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,1,2,2,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,2,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,1,2,0,0,0,0,0,2,0,0,0,0,0,1,0,1,1,0,0,0,2,0,1,1,0,2,1,0,0,1,0,1,0,0,1,0,0,2,0,1,1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,2,0,1,2,0,0,1,0,0,0,1,0,0,0,0,2,0,0,1,2,1,0,0,0,0,2,1,0,0,0,1,0,0,0,0,1,1,2,0,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,2,0,1,1,1,1,2,0,1,0,0,0,1,0,1,0,1,0,0,1,2,1,1,2,2,1,0,0,1,1,0,0,0,0,0,1,2,1,0,0,0,0,1,1,2,1,0,0,2,1,0,2,0,0,0,0,2,0,2,0,0,1,0,0,0,0,0,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,2,1,0,1,0,0,0,0,1,0,0,1,1,1,0,0,1,0,1,0,2,1,0,1,1,0,1,0,1,0,2,0,1,1,0,1,0,0,2,0,0,0,0,0,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0,2,1,1,0,2,0,0,1,1,1,2,1,0,0,1,0,1,0,2,0,2,2,1,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,2,1,1,0,0,0,0,2,0,1,0,2,0,1,0,0,0,2,1,2,0,1,0,1,0,1,0,0,1,0,0,2,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,2,1,0,1,0,2,2,1,0,0,0,0,0,1,1,1,0,0,2,0,0,1,2,0,0,0,0,0,1,0,0,2,1,1,0,0,2,0,1,1,2,0,0,0,0,1,0,0,1,2,1,0,2,0,1,1,0,1,0,0,0,0,1,1,1,2,0,0,1,2,0,1,1,0,0,0,1,1,1,2,1,0,1,1,1,0,0,0,1,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,2,0,0,1,1,0,0,0,2,0,0,0,1,1,0,2,1,1,0,0,2,1,1,0,1,1,1,0,1,0,0,2,0,0,2,1,0,2,0,1,0,0,1,1,2,0,0,1,1,0,1,0,1,0,0,0,1,0,2,0,0,0,0,0,0,1,1,0,1,0,1,0,1,1,0,0,2,0,1,0,0,1,0,2,1,0,1,1 1,0,1,2,0,0,0,1,0,2,0,0,0,1,0,0,0,2,0,0,0,1,0,0,1,1,2,1,0,0,1,0,1,1,0,1,2,0,2,0,0,2,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,2,0,2,1,1,2,2,0,1,2,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,2,1,2,0,1,0,0,0,0,0,1,2,0,0,0,1,1,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,1,2,0,2,0,1,0,0,0,1,0,2,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,2,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,1,2,0,0,0,0,0,0,1,0,0,0,1,1,1,0,2,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,2,0,1,1,1,0,1,1,0,0,1,1,2,1,1,0,0,2,0,0,0,0,1,1,0,1,0,0,0,2,0,1,1,2,1,0,0,1,0,1,0,1,0,0,0,0,1,1,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,0,2,2,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,2,1,0,0,0,1,0,1,0,0,0,2,2,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,1,1,0,2,1,0,0,2,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,1,1,2,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,2,0,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,2,1,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,2,0,1,0,1,2,0,0,0,0,0,0,0,1,0,0,2,0,1,1,0,0,0,0,0,0,0,1,0,2,1,0,0,2,0,0,0,1,0,1,1,2,2,2,2,0,1,1,0,1,1,1,0,0,0,0,0,1,0,1,1,0,1,1,0,1,0,2,0,1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,1,2,2,0,0,0,0,0,0,1,0,1,2,1,0,0,0,2,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,2,0,2,1,0,0,0,0,1,1,0,1,1,2,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,1,1,0,2,0,0,0,2,0,1,1,0,0,0,0,1,0,1,2,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,2,1,1,0,0,1,0,0,1,1,0,2,2,0,1,1,1,0,0,0,0,1,0,0,0,0,2,0,0,1,0,0,0,1,1,2,0,0,1,1,0,2,1,0,0,0,1,2,1,0,0,0,0,0,1,1,0,1,0,0,1,2,0,2,0,0,2,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,1,0,1,2,1,2,1,0,2,0,1,0,0,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1 1,0,1,2,0,0,0,0,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,2,1,1,1,1,0,0,0,1,1,0,0,2,0,0,0,1,1,0,0,1,0,0,1,0,2,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,2,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,2,0,2,0,1,0,0,0,1,0,1,0,1,0,0,2,1,1,1,1,1,0,0,2,0,0,0,1,0,2,0,1,2,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,2,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,2,1,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,2,0,1,0,0,1,0,1,0,1,2,0,1,2,1,0,0,0,0,0,1,0,2,1,1,2,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,1,2,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,1,1,0,0,1,1,1,2,0,0,1,0,0,0,1,0,0,0,0,0,1,1,2,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,2,0,1,0,0,1,0,1,1,1,1,1,1,0,0,0,1,2,2,1,0,1,0,1,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,1,2,0,0,0,0,0,0,0,0,1,1,1,2,1,2,0,0,0,1,0,2,0,0,0,0,0,1,0,1,1,1,2,0,1,0,0,2,0,0,0,1,0,0,1,0,1,2,0,1,1,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,2,0,1,1,1,1,0,0,0,2,1,0,0,0,0,0,1,1,2,1,0,0,0,1,0,2,0,0,0,1,2,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,2,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,2,0,2,0,1,1,1,2,1,0,2,0,0,0,0,0,1,0,0,0,0,0,1,1,0,2,0,0,0,1,1,1,0,0,2,1,0,1,1,0,0,2,0,2,1,0,1,0,0,1,0,1,1,2,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,2,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,2,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,1,1,2,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,1,0,2,1,2,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0,2,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,1,0,1,0,1,0,0,0,2,0,1,1,2,1,0,1,1,0,0,1,0,1,1,0,2,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,1,2,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,2,0,1,1,1,1,0,0,0,2,0,0,0,1,0,0,0,0,2,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,2,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,2,0,1,0,0,0,0,0,0,1,2,1,0,0,0,1,0,0,1,0,0,1,0,1,1,1,1,1,0,0,2,2,1,1,2,1,0,1,0,0,1,0,0,1,1,0,2,2,0,2,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,2,0,1,0,0,0,1,0,0,0,2,0,0,0,0,1,0,1,1,1,0,1,0,1,0,1,0,2,0,1,0,1,0,1,2,0,1,0,2,0,2,0,0,1,0,0,0,1,0,0,1,1,0,1 1,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,2,0,0,0,0,2,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,2,1,1,1,2,0,1,1,0,0,1,1,1,2,0,1,1,0,0,0,1,0,1,0,1,0,1,1,0,2,0,1,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,2,1,0,2,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,1,0,0,1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0,0,2,1,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,2,1,0,0,0,1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1,0,1,0,2,0,0,0,0,1,1,2,2,0,0,0,1,0,2,2,0,0,0,1,1,0,0,0,0,1,2,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,2,0,0,2,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,2,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,2,0,1,0,0,0,2,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,2,0,0,0,0,1,0,1,0,2,2,0,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,1,1,0,2,1,1,1,2,1,0,1,1,0,2,1,0,1,0,1,0,0,1,2,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0,2,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,2,0,1,0,0,0,1,0,1,2,2,1,0,1,1,1,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,2,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,2,0,0,2,0,0,0,1,0,1,0,1,0,1,2,1,0,0,1,0,0,0,1,0,0,1,1,2,1,1,1,0,2,0,1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,1,1,0,2,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,2,1,0,0,0,1,0,2,1,0,0,0,0,1,1,1,0,1,0,0,2,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0,1,1,2,0,2,0,0,1,1,0,1,1,1,0,1,0,0,0,2,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,2,0,0,0,0,1,2,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,2,0,1,0,0,0,0,0,0,1,2,0,1,1,1,2,0,0,1,0,0,2,1,1,2,1,1,0,1,0,1,0,1,1,1,2,0,2,0,1,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,2,0,0,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,2,0,2,0,0,0,1,0,1,0,2,2,1,0,0,1,1,1,0,1,0,0,0,2,0,0,1,0,0,0,0,1,2,0,2,0,1,0,0,2,0,0,2,0,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,2,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,1,2,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1 0,0,1,0,1,0,0,0,0,1,2,0,0,2,0,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,2,0,0,2,0,1,1,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,0,0,1,0,0,1,0,1,1,2,0,0,0,0,1,1,2,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,2,0,0,0,2,2,2,1,0,2,0,0,0,1,2,2,0,0,2,1,2,0,1,0,0,1,1,0,0,0,2,1,0,1,1,0,0,2,1,2,0,0,0,0,1,0,1,0,0,1,0,0,1,2,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,2,1,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,2,1,1,1,0,2,0,0,0,1,1,0,0,1,1,2,1,0,1,0,0,2,1,0,0,0,1,0,1,2,0,1,0,1,0,0,0,1,1,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,1,1,1,0,0,2,1,0,1,0,0,0,1,2,0,0,1,0,0,1,1,0,1,0,0,1,1,2,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,2,1,0,0,0,1,1,0,1,0,1,0,2,0,1,0,0,2,1,1,1,0,0,0,2,0,0,0,0,0,0,1,1,1,1,1,0,0,0,1,2,0,0,0,0,0,2,1,1,0,0,0,2,0,1,0,2,0,1,0,1,0,0,0,0,0,0,1,2,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,2,0,0,2,0,2,1,1,0,0,0,0,2,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,2,0,0,1,1,1,0,0,1,1,1,1,2,0,1,0,0,0,0,1,0,0,1,2,0,1,0,1,1,0,0,1,0,1,1,0,2,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,1,0,0,1,1,0,1,0,2,1,1,1,1,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,2,2,0,2,0,1,1,1,0,1,1,1,0,2,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,1,1,0,2,0,0,1,2,0,1,2,0,0,0,1,1,0,0,0,0,1,2,2,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,2,0,0,0,2,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,1,2,1,0,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0,2,0,0,0,0,2,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,0,2,0,0,1,0,0,2,1,2,1,1,0,0,0,2,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,2,1,0,2,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,1,2,0,1,1,1,1,0,0,0,2,0,0,0,1,2,0,0,0,0,2,1,0,0,0,0,0,0,1,0,1,2,0,0,0,1,2,0,0,0,0,0,0,1,0,2,1,0,0,0,1,1,1,1,0,0,1,0,0,2,1,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,1,0,2,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,2,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,2,1,1,0,1,1,2,1,0,0,0,0,0,2,0,0,1,0,0,0,2,0,1,0,1,0,1 0,0,1,2,2,1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,2,0,1,0,0,0,0,0,0,1,1,1,1,2,1,0,0,1,1,0,2,0,0,1,1,0,0,0,1,1,1,0,0,0,0,2,1,1,2,0,2,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,2,0,0,0,1,1,1,0,2,0,0,0,0,2,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0,2,0,1,1,0,0,0,0,0,2,1,0,0,0,0,0,1,0,0,1,1,2,0,0,2,0,0,0,1,1,0,2,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,1,0,2,0,0,1,0,2,0,0,0,0,1,1,1,0,0,1,1,0,0,1,0,2,0,2,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,1,0,1,1,1,0,1,0,2,0,1,2,1,1,1,0,1,2,0,1,0,2,1,2,0,0,0,0,2,1,0,0,0,0,0,0,1,0,1,1,0,2,0,0,0,2,0,0,1,1,0,1,1,0,1,0,0,0,1,0,2,2,0,0,0,1,0,0,0,0,0,2,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,0,1,1,0,2,1,0,0,0,0,0,2,1,0,0,0,0,0,1,0,1,0,0,0,1,1,2,2,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,2,0,1,0,0,1,1,1,0,0,2,1,0,1,2,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,1,2,0,0,0,1,0,1,1,1,1,0,1,1,0,1,1,0,2,0,0,0,0,0,0,0,0,0,0,1,1,1,0,2,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,2,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,2,0,2,0,0,0,0,0,0,0,1,0,1,0,0,1,2,0,1,0,0,0,0,0,1,1,2,2,0,2,1,2,0,1,2,2,0,0,0,0,0,0,2,1,2,1,1,1,0,0,0,1,0,0,0,2,0,1,0,1,0,1,2,0,0,2,0,0,0,2,2,0,0,1,1,2,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,2,1,1,1,0,0,0,0,1,0,0,1,1,0,1,2,2,1,0,1,0,1,0,1,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,2,0,1,0,0,0,1,0,1,1,0,0,1,0,1,2,0,0,1,0,0,0,2,1,0,0,1,0,1,2,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,2,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0,2,2,1,2,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0,1,2,0,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,2,1,1,1,0,0,0,0,0,1,2,0,0,1,0,0,1,0,0,2,0,2,0,0,0,0,1,1,1,2,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,2,0,2,1,1,1,1,1,0,0,0,1,0,0,1,1,1,2,1,0,2,0,0,1,0,0,0,2,1,1,0,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,2,1,2,1,0,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,2,0,0,1,1,0,0,1,0,0,1,1,1,1,2,0,0,0,0,1,0,0,2,0,0,0,0,1,2,0,0,0,0,0,1,1,0,2,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,0,2,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,2,0,0,0,0,0,1,0,1,2,0,1,0,1,2,2,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1 1,0,1,2,1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0,1,2,0,1,1,1,0,1,0,0,2,0,1,1,0,0,1,0,1,1,1,0,0,0,0,0,1,1,2,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,2,0,1,1,0,1,1,1,0,1,1,2,1,1,0,2,0,0,0,1,2,1,1,1,2,0,0,0,1,1,2,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,2,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,1,1,1,1,0,1,0,1,1,0,1,0,2,1,2,0,1,0,1,0,1,1,0,0,2,0,0,0,0,1,1,1,0,0,1,1,1,0,0,1,1,0,1,2,2,1,0,0,1,1,0,0,0,0,1,0,1,2,1,0,0,0,0,1,0,1,2,1,2,0,0,0,1,2,0,0,1,2,0,1,2,1,0,2,1,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,2,0,1,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,2,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,2,1,1,0,1,2,0,0,1,0,0,0,2,0,1,0,1,0,0,0,0,0,1,0,1,2,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,1,2,2,1,2,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,2,1,0,0,2,2,1,2,1,0,0,0,0,1,0,0,1,0,0,0,2,0,1,0,2,0,1,0,0,0,1,0,0,0,2,1,0,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0,1,2,1,0,0,0,0,0,1,0,0,1,2,1,1,2,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0,2,0,2,2,0,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,2,1,1,0,0,1,1,0,1,2,0,1,0,0,0,0,0,1,1,1,1,0,0,2,1,0,0,1,2,1,1,0,0,1,0,2,0,1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,2,0,0,0,1,0,0,1,1,1,0,2,1,0,0,2,0,1,0,1,0,0,2,2,0,0,0,0,0,0,1,1,0,0,0,1,0,0,2,0,1,0,0,0,2,0,1,0,1,2,1,0,1,0,1,0,0,0,1,0,1,0,1,1,0,1,0,0,2,0,1,0,0,1,0,0,1,1,1,1,1,0,2,0,2,0,0,0,0,1,1,0,0,2,0,0,0,2,0,0,0,1,1,0,0,0,2,0,0,1,1,0,0,0,0,0,2,1,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,1,0,1,1,0,0,2,0,1,1,0,0,0,0,2,0,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,1,0,0,2,0,0,0,0,1,2,0,1,1,1,1,1,1,1,2,0,0,2,1,1,0,0,0,0,0,1,1,2,1,0,0,2,2,1,0,2,0,1,2,0,0,1,0,0,0,0,0,0,0,0,2,1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,2,1,0,0,0,0,0,0,1,0,2,0,0,0,0,1,2,0,0,2,0,1,2,0,0,0,0,0,0,0,0,0,1,1,0,2,2,1,1,1,1,0,0,2,2,1,2,1,0,1,1,0,0,2,1,0,0,0,1,0,0,2,0,0,1,1,1,0,0,0,0,1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0,2,2,0,2,0,0,1,0,0,0,1,0,1,0,1,1,0,1,0,0,0,2,0,1,1,0,2,1,0,2,0,0,0,1,1,1,0,1,1 0,0,1,0,2,1,0,0,1,0,1,1,0,0,0,2,0,0,0,0,1,0,0,1,1,0,1,2,1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,2,2,0,0,2,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,1,1,0,2,1,0,1,1,1,2,0,1,0,0,0,0,0,1,0,2,2,0,0,0,1,2,0,1,1,1,0,0,0,0,0,0,1,1,0,1,1,2,0,0,2,1,0,0,1,2,0,1,1,1,0,0,0,1,0,0,1,0,1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0,2,1,0,0,0,1,0,1,0,2,0,1,1,0,1,1,1,0,2,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,2,1,1,1,1,1,1,1,1,0,0,2,0,0,0,1,1,0,1,0,0,0,1,0,2,2,2,0,0,1,1,0,2,1,0,2,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0,1,1,1,1,0,0,2,0,2,2,0,1,0,0,1,2,1,0,0,0,0,2,0,0,1,0,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,2,0,2,0,1,1,1,1,0,1,1,0,0,1,0,2,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,2,1,1,0,0,1,1,0,2,1,0,0,0,1,1,1,0,0,0,2,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,1,1,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,2,1,1,1,1,0,0,1,2,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,2,2,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,2,2,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,2,0,1,1,0,0,0,1,0,2,0,0,0,1,0,1,0,0,0,0,1,1,0,1,0,0,2,2,0,1,2,0,2,1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,1,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,2,2,2,0,0,0,0,0,0,2,1,0,1,0,1,1,2,0,1,0,1,1,0,0,0,2,1,1,0,0,0,1,0,0,0,1,1,0,1,1,2,0,0,0,1,0,0,0,0,0,1,1,1,2,1,0,2,0,0,0,2,1,0,2,0,1,0,2,0,0,0,0,1,0,0,1,0,2,0,0,2,1,1,0,1,0,0,0,0,1,0,2,0,0,0,1,1,0,0,0,0,0,2,0,1,1,0,0,0,0,0,1,0,0,0,0,2,0,0,1,1,1,0,2,0,0,0,1,2,1,0,0,0,1,1,1,0,0,2,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,2,2,0,0,1,1,2,0,0,0,0,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,1,2,0,0,0,1,0,1,1,1,2,0,0,0,1,0,1,1,0,1,0,1,0,2,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,2,0,0,0,1,0,1,1,2,1,1,0,0,1,1,1,2,0,0,0,0,0,1,1,0,1,1,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,1,2,1,0,0,0,0,0,0,1,2,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1 1,0,1,1,0,0,0,1,0,1,0,2,0,1,2,1,0,1,0,0,0,0,1,0,0,2,2,1,0,0,1,0,1,0,0,0,2,0,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0,0,2,1,1,0,1,0,0,0,0,1,0,1,0,1,2,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,0,2,1,1,2,0,0,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,1,2,2,2,0,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,1,2,2,0,2,2,0,1,0,1,1,0,1,0,0,2,0,1,1,0,0,2,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,2,1,1,1,1,0,0,0,0,2,2,0,0,0,1,0,0,2,0,0,0,1,0,1,1,0,2,2,2,0,1,0,1,0,2,1,1,1,1,2,1,1,0,0,0,0,0,1,1,0,0,0,0,1,1,1,2,2,0,0,0,2,0,2,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,1,1,2,1,1,0,1,0,1,0,0,0,0,1,0,1,2,0,0,1,1,1,0,2,1,1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0,2,2,1,1,1,0,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,2,0,0,1,2,2,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,1,2,1,0,0,1,0,0,2,0,2,0,1,0,0,0,1,1,1,0,0,1,0,1,2,0,2,0,1,1,1,0,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,0,1,0,0,2,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,2,0,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,2,1,0,1,0,0,1,0,0,2,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0,1,1,1,1,0,0,1,0,1,0,2,1,1,0,1,0,1,0,0,0,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0,2,1,0,0,1,0,0,0,2,1,0,1,1,0,1,0,1,1,1,0,0,2,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,2,0,0,1,1,2,2,0,1,0,1,0,1,1,0,2,0,0,0,2,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,2,0,0,0,1,0,0,0,0,2,1,0,0,0,1,0,0,1,1,0,1,1,1,2,0,1,2,2,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,1,0,1,0,1,2,0,2,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0,2,0,0,1,0,0,0,1,2,0,2,2,2,1,0,2,0,0,0,0,2,1,2,0,1,2,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,1,0,0,1,0,0,1,1,0,0,0,0,1,1,0,2,0,0,1,0,0,0,1,0,0,0,0,2,1,1,0,0,1,1,0,0,2,0,0,0,1,2,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,2,0,1,0,1,2,0,0,1,0,0,2,0,0,0,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,1,1,2,0,1,0,0,1,2,0,0,2,0,0,0,0,0,0,1,1,1,0,0,0,1,0,2,0,0,0,1 1,0,0,1,0,0,0,1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,2,0,1,0,2,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,2,0,0,1,0,1,2,0,0,0,2,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0,1,1,0,2,1,0,0,1,0,0,0,0,0,1,1,1,1,0,1,0,1,2,0,0,0,1,0,1,1,0,1,0,1,2,1,1,0,0,0,1,1,1,0,2,0,1,0,2,1,1,0,1,0,1,0,0,0,2,1,1,1,1,1,1,0,0,0,0,2,0,1,0,0,1,2,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,2,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,1,1,1,1,0,0,1,1,2,0,0,0,2,1,1,2,2,0,0,1,0,2,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,2,1,1,0,1,2,0,1,0,0,2,0,1,0,0,0,0,0,0,0,0,2,1,1,2,1,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,2,0,1,1,2,1,1,0,0,0,1,1,0,0,1,2,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,1,2,0,1,1,0,0,1,1,1,0,0,0,0,1,2,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,2,0,1,0,0,0,2,0,0,1,0,0,0,1,0,1,0,2,0,1,0,0,0,2,2,0,0,1,0,0,0,2,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,0,1,2,0,0,2,2,0,0,1,1,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,2,1,0,1,0,0,1,1,0,2,1,0,2,0,1,0,0,2,0,0,1,0,0,0,0,1,0,2,0,1,1,1,1,0,1,1,1,0,2,1,0,1,0,1,2,0,0,0,0,2,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,0,1,0,0,1,0,2,0,1,0,0,0,2,0,0,1,1,1,1,0,0,0,2,1,1,0,1,1,0,1,0,0,0,2,0,0,1,0,1,0,1,2,1,0,0,1,2,0,0,1,1,0,0,0,0,2,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,2,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,1,1,2,2,2,1,0,1,0,0,2,1,0,1,0,0,0,0,0,1,2,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,2,1,0,0,0,1,1,1,1,2,0,1,0,0,0,1,2,1,0,0,0,0,2,0,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,2,0,0,0,0,1,1,0,2,1,0,1,0,0,2,0,1,1,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,2,0,0,1,2,1,0,1,0,0,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,2,1,2,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,2,0,0,0,1 0,0,0,1,0,0,1,0,0,0,1,1,0,2,1,1,0,1,0,0,0,0,2,0,1,2,1,0,1,0,0,0,1,0,0,0,1,1,0,0,1,2,0,1,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,1,0,0,1,0,2,0,0,0,0,2,2,0,1,2,0,0,0,0,0,0,2,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,2,0,1,0,1,0,1,0,1,0,1,0,1,0,0,2,1,1,0,0,0,0,0,0,2,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,2,0,0,0,0,2,1,1,1,0,2,1,1,1,0,1,1,0,0,0,0,0,0,1,1,2,0,0,0,1,0,1,1,1,2,0,1,0,0,0,0,0,0,1,1,0,0,2,0,1,1,1,0,0,1,0,1,0,0,1,1,0,2,2,0,0,0,0,0,0,0,0,1,1,1,0,2,1,1,0,0,0,1,0,0,2,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,2,0,0,0,0,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,0,0,1,1,1,1,0,1,1,0,2,1,0,1,0,2,0,2,0,0,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,2,1,1,0,0,1,0,0,0,2,1,1,0,0,0,0,2,0,0,2,0,0,0,0,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,1,1,2,0,2,0,0,0,0,1,1,1,2,1,1,0,0,2,2,0,1,0,2,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,2,1,0,1,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,2,0,0,0,1,0,1,0,0,1,0,0,1,0,1,2,0,0,1,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,2,0,1,0,1,1,2,0,0,2,0,2,0,2,0,0,0,0,0,1,2,1,1,1,0,2,0,1,1,1,0,1,2,0,0,0,0,1,1,2,0,0,1,1,0,1,1,0,0,0,0,0,0,1,2,1,0,0,2,1,2,0,1,1,1,1,0,2,1,0,0,0,2,1,1,0,1,1,0,1,1,2,0,0,0,1,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,2,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0,2,0,0,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,2,0,0,0,2,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,1,1,1,2,1,2,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,1,0,2,0,0,1,0,0,0,0,2,1,1,0,2,1,0,0,0,1,0,1,0,0,1,0,0,0,1,2,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,2,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,2,0,0,0,0,0,0,0,1,2,0,1,2,2,0,1,0,2,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,2,0,2,0,0,0,0,0,0,1,2,0,2,0,1,0,0,2,0,0,0,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,1,2,1,1,0,1,0,1,1,0,1,0,0,0,1,1,1,2,2,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,2,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,1,1,1,1,1,0,0,2,0,0,1,0,0,0,0,1,0,0,2,1,1,0,0,1,1,2,1,1,0,1,0,0,0,1,1,0,1,0,1,1 0,0,1,1,1,0,1,0,0,2,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,2,2,1,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,2,1,2,0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,2,0,0,1,1,2,0,0,0,0,1,2,0,0,1,1,2,1,2,1,0,0,1,0,0,0,1,0,0,0,0,2,0,2,0,0,0,1,0,1,1,1,1,2,0,2,1,1,0,0,0,0,0,0,2,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,2,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0,2,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,2,0,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1,2,0,0,0,0,0,0,2,1,1,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,1,1,0,1,1,1,0,1,1,2,0,1,1,0,0,0,2,1,1,2,0,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,1,2,0,0,0,1,0,1,1,0,2,0,0,0,0,1,0,0,0,0,2,0,2,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,1,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0,2,2,0,0,1,1,1,1,1,0,1,1,1,0,0,1,0,1,0,1,0,2,0,0,0,0,1,0,0,1,0,1,0,1,0,2,1,0,1,1,1,0,0,0,0,0,0,1,1,1,2,0,2,0,0,0,1,1,0,0,0,2,1,0,0,0,2,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,1,0,0,1,1,2,0,0,0,2,1,2,1,2,1,0,1,0,0,0,0,0,1,2,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,2,1,0,1,0,0,2,0,0,0,0,1,0,0,1,0,0,0,0,1,0,2,0,0,2,2,1,0,2,1,0,0,0,2,0,1,2,0,0,1,0,2,2,1,1,0,1,0,1,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,1,1,0,0,0,0,1,0,2,1,0,1,1,0,0,0,1,1,2,0,1,2,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,1,1,1,2,1,1,0,0,0,1,0,1,0,0,0,2,0,0,2,1,0,0,1,1,0,2,1,0,2,2,0,0,0,1,2,0,1,0,0,0,1,0,0,0,1,1,0,0,0,2,0,0,1,2,0,0,0,0,0,1,0,0,2,1,0,1,1,0,0,0,1,2,1,0,2,1,2,0,2,0,0,0,0,0,2,0,0,2,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,2,0,1,1,1,2,1,0,0,0,0,0,0,0,1,0,2,0,2,1,2,0,0,2,0,1,0,0,0,1,0,0,0,0,1,1,1,0,2,0,1,0,0,0,0,0,0,1,0,1,2,2,0,0,1,0,0,1,0,0,2,0,0,0,1,0,1,1,0,0,0,1,2,1,1,1,0,0,0,1,0,0,0,1,2,1,0,0,2,1,1,0,0,2,0,0,0,0,1,1,0,0,1,2,0,1,0,0,0,2,1,0,2,2,0,1,2,0,1,0,0,2,1,0,0,0,1,2,1,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,2,0,1,0,0,0,0,1,0,0,1,1,1,2,1,0,2,2,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,2,0,1,0,1 0,0,1,1,0,0,0,0,1,0,0,1,0,1,1,0,0,2,0,0,0,1,0,0,1,0,2,0,0,1,1,0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,2,0,0,1,0,0,1,0,2,0,1,0,1,0,1,1,1,0,2,0,1,1,1,1,1,0,0,1,0,0,0,0,1,2,2,1,1,0,0,1,0,1,0,1,0,1,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,2,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,2,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,2,0,0,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,2,0,0,0,0,0,0,0,0,2,0,1,1,1,1,1,0,0,0,1,2,2,0,0,0,0,1,1,2,0,0,0,0,2,1,0,0,1,2,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,2,1,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,2,2,1,1,0,2,0,1,2,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,1,2,0,0,0,0,1,2,1,0,1,0,0,0,1,0,2,0,2,1,0,0,1,0,2,0,2,1,0,0,0,0,0,0,1,0,1,2,0,2,1,1,1,0,1,1,1,2,0,0,1,1,1,0,0,1,0,1,2,0,0,1,0,0,0,1,1,1,1,0,0,0,1,1,1,1,1,1,0,1,1,0,1,1,0,1,0,0,2,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,2,0,2,0,1,0,0,0,0,0,1,0,0,0,2,0,1,0,1,0,0,2,1,1,1,0,0,0,1,2,2,0,0,1,0,0,0,1,0,1,0,0,0,1,0,2,2,0,1,0,0,1,0,0,2,1,1,0,1,1,1,1,0,1,0,1,0,1,2,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,0,0,1,1,1,1,0,0,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,1,0,0,0,0,0,1,0,1,1,0,0,2,2,0,1,1,2,0,1,0,2,0,1,0,1,0,0,0,0,0,1,0,0,0,2,1,0,1,1,0,0,1,0,1,0,2,2,0,0,2,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,2,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,1,2,2,0,1,1,0,1,1,1,0,1,1,1,1,0,1,0,0,2,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,2,2,1,0,2,0,0,0,0,0,1,2,1,1,0,0,1,1,0,0,0,2,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,1,0,0,2,0,1,0,2,1,0,0,0,1,1,0,0,0,1,2,1,0,1,0,1,0,0,0,2,0,0,0,2,1,0,0,1,0,0,1,2,2,1,0,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,2,2,0,0,0,0,1,0,0,1,1,2,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,2,1,1,2,0,0,0,0,1,1,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,1,1 2,0,0,2,0,0,0,1,1,2,0,1,1,1,2,0,0,0,1,0,0,1,2,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,1,1,2,0,1,1,1,0,1,0,0,2,1,0,0,0,0,1,1,0,0,0,0,0,0,1,1,2,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,1,2,0,0,1,0,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,2,1,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,2,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,1,1,2,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0,2,0,0,0,1,1,2,0,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,2,1,1,1,0,0,0,0,0,0,0,1,1,0,2,1,1,0,1,1,1,0,2,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,2,0,1,1,0,0,1,0,2,0,1,1,0,0,0,2,0,2,0,0,1,1,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,1,1,2,1,0,1,0,2,2,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,2,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,2,1,1,0,0,0,0,0,2,1,0,0,0,0,2,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,1,1,1,0,2,0,1,0,1,1,2,0,1,0,0,0,1,0,0,0,0,1,0,1,1,2,0,0,1,0,1,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0,2,0,0,0,0,0,2,0,1,1,0,1,0,0,2,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,2,0,1,0,2,1,0,0,0,1,0,0,2,1,0,1,0,1,1,1,0,1,0,0,0,1,1,1,1,2,0,0,0,0,1,0,1,0,0,1,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,2,0,0,1,0,1,2,1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,1,2,0,1,0,0,0,1,0,0,0,0,1,0,1,0,1,0,2,1,1,0,1,1,1,0,1,0,1,1,0,2,1,2,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,1,0,0,2,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,2,0,1,0,1,0,0,2,0,1,0,0,1,1,0,0,0,2,0,0,0,1,1,0,2,0,0,0,0,0,1,0,0,1,0,1,1,2,1,0,0,0,0,0,0,0,2,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,1,2,1,0,0,1,1,1,0,0,2,1,1,0,0,0,1,2,2,2,0,0,1,1,0,2,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,2,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,2,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,2,0,0,0,0,1,2,0,0,1,0,0,1,0,0,1,2,0,0,0,0,0,1,0,0,1,1,2,0,0,2,1,2,1,0,1,1,2,1,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,1,0,1,1 1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,2,0,1,0,0,0,0,1,1,2,0,2,2,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,2,1,0,0,1,0,1,0,0,0,0,0,1,0,1,2,0,0,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,1,0,2,0,0,0,0,0,1,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,2,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,2,1,0,0,2,0,1,0,0,0,1,1,0,0,2,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,2,0,0,1,1,0,0,2,1,0,1,0,2,1,1,1,2,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,2,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,1,0,1,1,1,2,1,2,1,0,0,0,0,1,0,0,0,2,2,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,2,1,0,0,1,0,0,1,1,1,1,0,0,1,0,1,1,0,2,0,0,0,0,2,0,0,0,0,0,1,0,0,1,1,2,0,0,0,0,2,1,0,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,2,1,2,0,0,0,0,0,1,0,0,2,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,2,0,1,0,0,2,0,0,0,2,0,0,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,2,0,1,1,1,0,1,1,0,1,1,1,0,2,0,1,0,0,1,0,2,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,1,2,1,0,0,1,1,0,1,0,0,2,0,0,1,1,0,1,0,0,1,0,0,2,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,1,1,2,1,0,1,2,0,0,2,0,1,1,1,1,0,0,1,2,1,0,0,0,0,1,0,0,1,0,0,0,1,2,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,2,0,1,1,1,0,1,0,0,0,1,2,0,0,1,0,0,0,1,0,2,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,2,1,1,1,0,0,0,0,0,1,2,1,1,2,1,0,0,0,1,0,1,0,0,1,0,1,0,0,1,2,0,0,0,1,1,0,0,1,0,0,0,0,2,0,2,1,0,0,0,0,0,0,1,1,1,0,2,1,0,1,0,2,0,1,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,2,1,0,0,0,0,0,0,0,1,2,1,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,2,0,2,1,0,0,0,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,1,1,0,1,1,2,0,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,1,1,1,0,2,0,0,0,0,1,1,0,0,1,0,2,1,0,1,0,0,0,0,2,0,0,2,0,1,0,0,0,2,0,1,0,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,2,0,0,0,1,0,0,0,1,1,1,2,0,1,1,1,1,0,2,0,0,1,1,0,1,0,1,0,0,1,0,0,0,2,0,0,0,0,0,2,0,0,0,1 1,0,1,0,0,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,1,2,0,0,1,0,0,0,0,0,0,1,0,0,1,2,0,1,0,1,0,0,0,0,0,1,0,2,0,1,2,0,2,0,1,0,0,0,1,0,2,0,0,2,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,2,1,0,0,0,2,0,1,0,1,0,0,0,1,2,2,1,0,1,0,0,0,0,1,1,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,2,1,1,1,1,0,0,1,0,2,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,2,0,0,1,0,0,1,0,2,1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,1,0,1,1,0,0,1,1,0,0,1,2,0,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0,1,0,1,1,0,1,0,1,1,1,2,0,2,0,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,2,1,2,0,0,0,1,1,2,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,1,0,1,0,0,0,1,0,1,0,2,0,1,1,2,0,0,0,0,0,1,2,0,0,2,1,0,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,2,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,2,0,1,1,1,0,1,1,0,0,0,0,0,1,1,0,2,0,2,1,0,1,0,0,0,1,0,2,0,0,2,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,2,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,2,1,2,0,0,1,0,1,1,0,1,0,1,0,0,0,0,2,0,1,0,1,1,1,0,2,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,2,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,2,0,0,0,0,0,1,0,0,1,0,1,2,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,2,0,1,0,2,1,0,0,0,1,1,1,0,1,2,1,1,0,1,0,0,1,1,1,1,1,2,2,1,1,1,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,1,1,0,2,1,0,2,0,1,0,1,0,0,0,1,1,0,0,1,2,2,2,0,2,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,2,0,0,0,1,0,1,1,0,1,0,2,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,2,0,1,0,1,0,0,2,1,0,0,0,0,0,1,1,1,0,0,2,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,1,0,0,1,1,0,2,0,1,1,0,2,1,1,0,0,2,1,1,2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,1,0,0,1 0,0,2,1,2,1,0,1,0,1,2,1,0,1,2,0,0,0,0,0,0,2,1,1,1,1,2,2,0,1,1,0,0,2,0,0,1,1,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,1,2,0,0,1,1,0,0,0,0,2,1,1,2,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1,1,2,0,1,1,2,2,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,2,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,1,0,0,0,2,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,2,0,0,0,1,0,0,0,1,1,1,1,0,1,1,0,0,2,2,1,0,1,0,2,2,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,2,0,0,1,0,0,0,1,1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,1,1,0,2,0,1,1,1,0,2,1,2,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,2,0,1,0,1,2,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,2,2,0,1,1,1,0,0,1,0,0,0,0,1,2,1,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,2,0,2,0,0,0,0,0,2,0,0,1,2,1,1,0,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,1,0,2,0,1,1,0,0,1,0,1,1,1,1,1,1,1,1,2,1,2,0,2,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,2,0,0,0,1,1,0,0,0,0,1,1,0,0,1,1,2,0,0,1,1,0,2,0,0,1,1,0,0,0,2,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,2,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,1,1,1,0,2,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,2,0,1,0,2,1,0,0,1,2,0,2,0,1,1,0,2,1,1,0,2,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,0,1,0,0,2,0,0,0,0,1,1,0,0,1,0,2,2,0,0,1,2,0,2,0,0,2,0,0,0,1,0,1,1,1,1,1,0,0,0,2,1,1,0,2,1,0,0,0,2,0,0,1,0,1,1,0,2,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0,0,0,2,0,0,1,1,0,0,1,1,0,0,0,0,2,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0,2,0,1,1,2,0,0,0,0,0,2,1,0,0,0,2,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,1,2,1,0,0,0,0,2,1,1,1,1,0,0,1,0,1,0,2,2,1,2,1,0,2,1,0,0,1,0,0,0,0,2,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,2,0,1,0,0,2,1,1,0,1,1,1,0,0,0,0,2,0,0,1,1,0,1,0,1,0,1,1,1,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,2,0,0,1,0,0,0,0,0,1,0,1,1,1,1,2,2,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1 1,0,1,1,1,1,0,0,0,1,1,0,1,2,0,1,0,0,2,0,0,0,0,0,0,1,0,2,0,1,1,0,2,0,1,0,2,1,1,0,1,0,0,0,0,0,1,1,0,0,2,0,1,0,1,0,1,0,0,2,0,0,0,1,0,0,0,1,1,0,2,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,1,1,0,0,2,1,0,1,0,1,1,0,1,0,0,0,1,0,0,1,2,0,1,0,1,0,2,1,1,1,0,2,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,2,2,0,1,2,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,2,1,2,2,2,0,2,0,1,0,0,0,2,0,0,0,0,0,1,0,0,2,0,0,1,2,2,0,0,0,0,2,0,0,2,0,0,0,2,0,0,0,0,0,1,0,0,1,1,1,0,2,0,0,0,1,0,1,0,0,2,0,1,0,0,0,1,0,1,0,0,0,0,1,1,1,0,0,0,2,0,0,1,1,0,2,1,0,1,0,1,0,0,1,1,2,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,2,2,1,2,2,0,2,0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,1,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,2,1,0,1,2,0,0,2,0,1,0,0,2,1,2,1,1,0,1,0,0,0,2,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,2,0,0,1,0,0,0,2,0,0,1,0,1,0,1,1,1,2,0,0,0,0,2,0,2,0,1,0,2,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0,2,0,1,0,0,1,0,1,0,1,0,2,0,0,1,0,0,2,1,0,0,1,1,0,0,1,0,1,2,2,0,0,0,0,1,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,2,0,1,1,0,0,0,2,0,0,1,0,0,0,1,1,1,0,1,0,1,0,1,1,1,1,1,0,0,1,2,1,0,0,1,0,0,1,0,1,0,0,0,0,2,1,1,1,1,1,1,2,1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,2,0,0,2,0,0,0,0,0,0,1,0,1,0,0,1,1,2,0,1,1,0,0,2,0,0,0,1,0,2,0,1,2,0,1,0,2,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,1,2,0,0,0,1,1,0,2,1,0,0,0,0,2,1,1,1,1,1,1,0,1,0,2,1,1,0,1,0,0,0,0,1,1,1,0,0,0,2,0,1,0,2,1,0,0,0,0,0,0,0,1,0,0,1,0,2,0,1,1,1,1,0,2,2,1,0,1,0,1,0,0,1,1,0,2,1,0,1,0,1,0,0,0,0,0,2,1,0,0,1,0,1,1,1,0,0,0,0,0,2,0,0,0,1,0,2,1,0,0,0,1,1,0,1,0,0,2,0,1,1,1,0,0,0,0,0,1,1,1,1,1,1,0,2,2,2,0,2,1,0,1,0,1,0,0,0,1,0,0,0,0,0,2,2,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,1,0,0,1,1,2,0,1,1,0,0,0,1,0,1,1,0,1,2,0,0,2,0,1,0,1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,2,0,0,0,0,0,1,1,0,0,0,0,1,1,1,1,2,0,0,0,1,1,1,0,2,0,0,0,2,0,0,1,1,0,1,1,0,2,1,0,1,0,1,1,2,1,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,2,1,0,0,0,1,0,0,0,0,0,2,0,1,0,1,1,1,2,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,2,1,0,1 0,0,1,2,0,1,0,0,0,0,2,0,1,1,1,1,0,1,0,0,0,0,1,1,0,2,0,2,0,0,1,0,1,1,1,0,0,2,0,0,0,1,0,1,0,0,1,2,1,1,1,0,0,1,0,0,0,2,1,0,0,0,0,1,1,1,1,2,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0,2,1,1,2,1,0,1,0,2,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,2,1,0,1,1,0,1,0,1,0,2,1,0,1,0,0,0,1,0,0,0,0,0,1,2,0,0,0,1,0,0,0,1,0,0,0,0,0,2,1,0,2,0,1,1,0,1,0,0,0,0,2,0,0,0,1,0,1,2,1,2,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,2,0,0,1,0,2,1,0,2,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,0,2,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,2,0,0,0,2,1,0,2,2,1,0,0,1,0,2,0,0,2,0,1,0,0,1,0,1,0,0,1,0,0,1,1,1,0,0,1,1,1,0,1,0,0,2,1,1,2,2,1,1,0,1,1,2,1,0,1,0,1,1,0,2,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,2,1,1,0,0,0,2,0,0,0,2,2,1,0,0,0,2,1,1,0,0,1,1,1,2,0,1,1,1,0,1,2,0,0,2,0,0,1,0,0,0,2,2,1,0,1,0,1,0,1,0,2,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,2,0,0,1,0,0,1,0,1,1,2,0,0,1,0,1,0,1,0,0,2,0,2,1,0,0,2,1,1,2,1,1,1,0,1,0,1,2,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0,2,1,0,1,0,1,0,2,0,1,1,0,1,0,0,1,2,0,0,1,2,0,1,0,1,0,1,0,1,2,1,1,1,0,1,0,2,0,1,1,2,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,2,1,0,0,0,0,0,0,1,1,0,0,2,1,1,0,1,1,2,0,0,1,0,0,2,0,0,0,0,0,1,0,0,1,0,2,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,2,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,1,2,0,1,0,1,0,1,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,2,0,0,1,0,2,0,0,0,2,1,1,0,1,0,0,0,2,0,0,0,0,1,0,0,0,1,1,1,0,0,1,1,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,2,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,2,0,2,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,0,2,1,2,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,2,1,0,2,0,1,1,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1 0,0,0,1,1,0,0,0,1,0,1,1,0,2,1,1,0,2,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,1,1,0,1,2,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,2,0,1,1,0,1,1,1,1,1,2,0,1,0,0,0,1,2,1,0,1,2,0,0,1,1,2,0,1,2,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,2,2,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,0,0,2,1,0,0,0,1,1,2,2,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,2,0,0,1,0,0,2,0,0,1,0,0,2,1,0,1,0,1,2,0,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,2,0,0,0,2,0,2,1,0,0,0,0,0,1,1,0,2,0,0,0,0,0,0,2,2,1,0,1,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,2,1,1,0,0,0,1,1,0,1,0,0,1,1,0,2,1,2,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,2,1,1,0,1,0,0,1,1,1,0,1,1,1,2,1,0,0,2,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,2,1,1,0,0,0,1,1,0,0,1,1,0,2,0,2,0,0,1,0,0,0,1,0,0,0,1,0,1,2,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,1,2,0,0,0,1,2,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,1,1,1,0,0,0,2,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,2,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,2,0,0,0,0,2,1,2,0,1,0,1,1,0,1,0,0,1,0,0,2,0,0,0,0,0,0,2,0,1,2,2,2,2,1,0,1,1,0,1,0,1,2,0,0,1,0,1,1,2,1,2,2,1,0,0,1,2,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,2,0,2,0,1,0,0,1,1,1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,2,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,1,0,0,0,0,0,0,1,0,0,2,1,1,0,1,0,1,2,0,1,1,1,1,0,0,0,2,1,0,0,0,0,2,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,2,0,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,1,1,1,0,0,0,0,0,1,0,1,0,1,2,2,0,0,1,1,1,0,1,0,1,1,2,1,1,0,0,1,2,0,0,2,0,1,1,0,1,1,0,2,0,0,2,1,0,0,0,1,1,1,0,1,0,0,0,2,0,0,2,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0,2,1,0,1,1,0,0,1,1,0,0,2,0,2,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,1,2,0,0,2,0,1,1,0,0,0,1,0,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,2,0,0,2,1,0,0,0,1,0,0,1,2,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,1,0,1,1,0,2,0,2,0,0,0,0,1,1,0,1,0,0,1,1 1,0,1,1,2,1,0,0,0,1,2,2,0,2,2,1,0,1,0,0,1,0,0,0,1,1,0,2,1,0,1,1,2,0,0,0,0,0,2,0,1,1,1,1,0,2,0,1,0,1,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,2,0,1,0,0,0,0,0,0,0,2,1,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,2,2,0,0,1,0,0,1,0,2,2,1,0,1,0,0,0,0,2,0,2,1,0,1,0,1,0,1,2,0,1,1,0,0,0,0,0,0,1,2,0,0,0,0,0,1,2,0,0,1,1,0,0,0,2,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,1,0,2,0,0,0,0,2,0,0,1,0,1,0,0,1,0,0,0,1,2,0,0,1,1,0,2,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,2,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,2,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,1,1,1,0,1,1,0,0,2,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,1,2,0,1,0,1,0,1,0,0,1,0,2,0,1,0,1,0,0,1,0,2,0,1,1,0,0,2,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,2,0,1,0,0,0,2,0,0,2,1,1,1,0,1,2,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,1,1,1,1,0,1,0,1,2,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,1,1,1,0,0,1,1,0,0,2,0,0,0,0,1,0,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,2,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,1,1,2,0,1,0,1,0,1,0,0,0,1,1,1,2,1,0,0,0,1,1,0,0,0,0,0,0,2,0,2,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,2,0,1,0,0,0,2,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,1,2,0,0,0,0,0,1,1,1,0,0,1,1,1,1,0,0,1,1,2,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,1,0,1,1,2,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,2,1,0,0,1,1,0,0,1,0,0,2,0,2,0,1,0,2,0,0,2,0,0,0,2,1,1,0,1,0,0,1,1,0,0,0,1,1,1,1,0,0,2,2,0,0,0,0,0,1,0,1,0,0,1,0,0,2,0,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0,2,1,0,0,1,0,1,2,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,1,1,2,1,1,2,1,0,0,0,1,2,0,1,1,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,2,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,1,0,2,0,0,0,0,0,1,2,2,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,2,1,0,0,2,1,2,0,0,0,0,1,0,0,1,1,1,1,0,1,0,1,2,2,0,2,0,0,1,1,0,0,2,0,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,2,1,1,0,0,2,0,0,0,1,1,0,0,0,1,0,1,2,1,0,0,1,2,1,1,0,1,0,0,1,0,1,2,0,1,0,0,0,0,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,1 1,0,2,0,2,0,0,1,0,1,1,0,0,1,1,2,0,0,1,0,0,2,1,0,2,1,1,2,0,0,1,0,0,1,1,0,0,1,1,0,2,1,1,0,0,0,0,1,0,1,2,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,1,0,0,2,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,2,0,1,1,1,0,0,2,0,0,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,2,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,2,2,0,0,0,0,2,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,2,0,2,0,0,1,1,1,2,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,2,0,1,1,2,0,2,0,1,1,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,2,1,0,0,2,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,2,2,0,0,0,1,2,1,1,1,0,0,0,1,1,0,1,0,1,0,2,1,2,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,2,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,2,0,0,2,1,0,0,0,2,1,2,0,0,0,1,0,0,0,0,0,1,2,2,0,2,1,1,0,1,1,2,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,2,2,1,2,0,1,0,1,0,1,2,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,2,1,0,0,0,1,0,2,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,2,1,0,1,1,0,1,1,0,1,1,1,0,0,2,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,2,1,0,1,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,2,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,1,1,1,0,0,0,2,0,0,1,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,1,1,1,0,2,0,0,0,2,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,2,0,1,0,0,0,0,1,0,2,0,0,0,2,1,0,0,0,0,1,0,1,0,0,1,1,0,0,2,0,0,1,0,0,0,0,2,0,0,0,1,1,0,0,0,2,2,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,2,1,2,0,1,0,0,2,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,2,0,1,1,0,1,0,2,0,2,0,0,1,1,0,0,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,2,1,0,0,0,0,2,2,0,1,1,0,1,0,0,2,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,2,0,2,0,0,0,1,0,0,0,0,0,0,2,1,2,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,2,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,2,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,2,2,0,0,0,2,2,0,1,2,0,0,0,0,1,1,1,0,0,0,0,1,1,1,0,2,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1 0,0,0,1,2,0,0,0,2,1,0,1,0,1,1,1,0,1,0,0,0,0,0,1,2,0,1,0,0,1,0,0,1,0,0,0,1,2,2,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,2,1,1,0,1,1,0,0,1,0,0,1,0,0,2,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,2,1,0,0,0,0,1,1,1,0,1,1,1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,2,0,0,0,0,0,0,2,0,0,0,1,2,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,2,2,1,0,0,1,1,0,2,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,1,0,1,1,1,0,1,0,2,1,0,0,1,0,1,2,0,0,1,0,0,0,0,2,1,1,0,0,0,1,2,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,2,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,2,0,0,2,0,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,1,1,1,0,1,1,1,0,0,0,0,0,2,1,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,1,1,1,2,0,0,1,0,1,2,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,1,2,1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,2,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,2,0,0,0,1,0,1,0,0,0,2,0,0,1,1,0,0,2,1,1,0,0,0,0,0,0,0,0,1,0,1,1,0,2,1,0,0,1,0,0,0,0,0,0,1,0,2,2,0,1,0,1,0,0,1,1,1,0,0,0,0,1,1,2,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,1,1,1,1,1,0,0,2,0,0,0,0,1,1,0,0,1,1,0,2,0,0,0,0,1,1,0,0,2,1,0,1,1,0,2,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,0,2,1,0,1,1,1,0,0,0,1,1,1,1,1,1,2,0,0,0,1,0,1,0,1,2,1,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,2,0,1,2,0,0,0,2,0,1,0,0,0,1,0,0,1,1,1,0,2,1,0,0,1,0,0,1,0,1,0,2,0,0,1,0,2,0,0,0,0,1,0,1,0,2,0,0,1,0,0,1,0,1,0,1,0,1,0,2,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,1,0,2,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,2,0,1,0,0,1,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,2,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1,1,2,1,0,1,0,0,1,0,0,0,2,0,1,0,0,0,1,1,0,1,0,1,2,0,0,0,1,0,0,0,0,0,0,1,2,1,1,0,0,1,0,2,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,1,1,2,1,1,0,0,0,1,1,0,1,2,1,0,1,0,0,1,0,2,0,1,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,2,0,0,1,1,1,0,1,1,1,2,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,2,1,1 1,1,0,1,0,1,1,1,1,1,1,2,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,2,1,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,1,0,1,1,0,1,0,1,2,2,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,1,0,1,1,0,0,2,0,1,1,0,2,1,1,0,1,1,0,0,1,0,1,0,1,0,2,2,0,0,2,1,0,0,0,0,0,1,1,1,0,0,0,1,0,2,0,1,2,0,0,0,0,1,0,0,1,0,2,0,1,1,1,1,1,0,0,0,1,0,1,1,1,1,1,1,0,0,0,0,2,1,1,0,0,0,0,0,1,0,1,2,0,2,0,1,0,1,0,0,0,1,1,1,1,0,1,0,2,0,1,2,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,1,2,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,2,1,1,0,1,2,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,1,2,1,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,1,1,1,0,0,0,0,0,1,2,0,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,1,0,1,2,0,1,0,0,0,0,2,0,0,1,1,1,1,1,1,0,0,1,0,0,0,1,2,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,2,2,1,1,0,0,0,2,1,0,1,1,2,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,1,1,0,1,0,2,1,0,0,0,1,0,0,0,0,1,1,0,0,0,2,0,1,0,1,1,0,0,1,2,1,0,2,1,0,1,0,0,0,2,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,2,0,0,0,0,0,1,0,1,0,2,0,0,1,1,2,0,0,2,0,0,0,0,0,0,0,2,1,1,1,0,0,0,0,0,1,1,1,1,1,1,2,0,0,0,0,0,1,0,2,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,0,1,2,1,0,0,1,0,1,0,0,0,1,0,0,2,0,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0,1,1,0,1,1,1,1,1,1,2,0,0,0,1,2,0,1,1,0,0,1,0,0,1,1,1,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,2,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,1,1,0,0,0,2,0,1,1,0,0,1,0,0,1,0,0,0,1,2,0,1,0,0,1,0,0,2,1,1,1,1,1,0,2,0,0,1,0,0,0,2,1,1,0,0,1,0,0,2,0,0,2,1,2,1,0,1,1,1,2,1,0,0,0,1,2,1,2,1,2,2,1,0,0,1,2,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,1,2,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,2,1,0,0,0,2,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,2,1,1,0,0,2,0,1,0,0,0,2,0,0,2,2,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,2,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,2,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,2,1,1 1,1,0,2,0,1,1,0,2,1,2,1,0,2,2,1,1,2,0,0,0,1,2,0,1,1,1,2,0,0,1,0,1,1,1,0,0,0,0,0,0,2,0,1,2,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,2,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,2,0,0,1,0,1,1,0,1,1,0,0,0,1,2,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,2,1,1,0,1,1,0,1,1,0,2,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,0,0,1,1,1,1,1,1,2,0,0,1,1,1,0,0,1,0,0,2,0,1,0,0,0,0,1,1,0,1,2,0,0,2,1,2,0,1,1,2,0,0,1,0,1,0,0,0,1,0,0,1,2,0,1,1,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,2,1,2,0,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,0,0,1,1,1,2,1,0,2,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,1,2,1,2,0,0,0,0,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0,2,0,2,0,0,2,1,1,0,1,1,1,0,1,1,2,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,1,0,1,0,1,1,0,1,0,1,0,0,1,0,2,0,0,1,1,0,2,0,1,1,0,0,0,0,1,0,2,2,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,1,0,1,0,1,2,0,0,1,0,2,1,1,1,1,0,0,1,0,1,2,1,2,2,1,0,1,0,0,0,1,0,1,0,0,1,2,0,2,0,1,0,0,0,0,1,1,0,0,0,0,2,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,1,0,2,0,2,0,0,0,1,0,1,2,1,0,0,0,0,1,1,2,1,1,1,2,0,1,1,1,1,0,1,0,0,0,2,1,0,1,0,1,0,1,0,1,0,0,1,0,0,2,0,0,1,2,1,1,2,0,0,2,0,1,2,1,1,2,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,1,0,0,2,0,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,2,0,1,1,1,1,1,1,2,1,0,0,1,0,1,1,0,2,0,1,1,0,1,0,1,2,1,0,0,0,0,0,0,2,0,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,2,1,0,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,2,0,0,1,0,0,1,0,0,2,1,0,0,0,1,0,1,2,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,1,2,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,1,2,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,2,0,0,1,0,1,0,2,1,0,0,0,0,0,2,1,0,2,1,0,0,0,0,1,0,1,0,2,1,2,0,2,1,1,0,0,0,1,0,0,0,0,2,1,1,0,1,0,2,0,0,1,0,0,2,1,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,1,2,0,0,1,0,0,0,1,0,1,0,1,1,0,0,2,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,1,1,0,2,0,0,1,0,1,1,1,1,0,1,0,0,1,1,1,2,0,0,1,0,1,0,2,0,1,1,0,0,1,0,2,1,0,0,1 0,0,1,1,2,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,2,0,0,1,0,0,1,0,0,0,1,2,0,1,0,1,0,1,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,2,0,0,1,1,0,0,1,0,1,0,2,1,0,0,0,0,1,2,0,0,0,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0,2,0,1,2,1,1,0,0,0,1,0,2,1,0,2,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,2,1,1,1,0,1,2,0,1,0,1,0,0,1,0,1,0,0,2,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,2,0,1,1,1,0,1,1,0,0,0,1,1,1,1,0,1,2,1,0,1,1,1,2,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,2,0,1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,2,1,1,0,0,0,1,1,0,2,0,2,0,1,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,2,2,0,2,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,2,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,2,1,0,0,0,1,0,1,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,2,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,2,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,2,0,0,2,0,0,2,0,1,0,1,1,0,0,2,2,0,1,0,1,2,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,2,0,1,0,1,0,0,0,1,0,0,1,2,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,1,0,2,1,1,0,0,0,1,0,2,2,0,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,2,0,0,0,0,1,0,1,1,0,1,0,2,0,1,2,1,1,0,2,1,1,1,1,2,0,0,0,0,0,1,0,1,0,0,1,0,1,2,0,0,0,2,0,1,0,0,2,1,1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,1,1,2,1,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,2,1,1,1,1,0,0,1,1,0,2,0,1,1,2,1,1,1,0,0,2,0,0,2,1,2,0,0,0,0,0,0,0,1,0,2,2,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,2,1,0,0,1,0,0,2,0,1,0,0,0,2,0,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0,2,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,2,0,0,0,1,1,0,0,2,0,0,1,0,0,1,0,1,0,0,2,2,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,2,0,2,1,0,1,0,1,0,1,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,2,0,0,0,2,0,2,2,0,0,1,1,0,0,0,0,1,0,1,0,1,0,2,1,1,2,0,0,1,0,0,1,1,1,1,1,0,0,0,2,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1 1,0,0,1,0,0,1,0,1,0,0,1,0,2,2,0,0,1,1,0,0,0,1,0,0,1,2,1,2,0,0,0,1,2,0,0,1,0,0,0,0,1,1,2,2,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,2,0,1,1,0,0,1,1,1,1,0,0,0,0,1,2,0,2,1,0,1,1,1,0,0,2,1,1,1,0,2,1,1,0,0,1,1,1,1,0,0,0,0,0,2,1,0,1,2,0,1,0,0,1,0,2,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,2,1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,1,2,0,0,1,0,1,1,0,1,0,1,2,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,2,0,1,1,0,1,1,0,0,1,2,2,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,1,0,1,0,0,1,0,1,2,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,2,0,0,2,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,1,1,1,2,1,1,0,0,2,1,0,1,0,0,0,0,2,0,2,0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,2,0,1,0,1,1,1,0,0,0,0,2,0,0,0,0,2,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,2,0,0,0,0,1,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,1,1,2,1,0,0,1,0,1,2,2,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,2,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,2,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,2,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,2,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,1,0,1,0,2,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,2,1,1,1,1,0,1,2,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,2,1,0,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,2,0,1,0,0,0,0,0,2,2,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,2,0,1,1,0,1,1,0,0,2,0,2,1,0,0,1,0,0,2,1,2,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,2,0,0,1,0,1,0,2,1,1,0,0,0,2,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1,2,0,1,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0,2,2,1,0,1,0,1,1,1,1,0,0,0,2,0,2,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,0,2,1,0,0,0,0,0,0,0,1,1,0,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0,2,0,1,0,0,2,2,2,1,0,1,0,1,0,1,1,0,0,0,2,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,2,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,2,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1 1,0,1,2,0,0,0,1,2,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,2,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,1,2,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0,1,1,2,1,0,0,0,2,1,1,0,0,1,2,0,1,2,0,2,0,2,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0,1,1,2,0,2,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,2,1,1,2,0,0,0,0,0,1,0,1,0,1,0,1,0,2,1,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,2,0,0,1,0,0,1,0,1,0,1,1,2,0,0,0,0,0,0,2,2,0,1,1,0,0,0,2,0,2,1,0,0,2,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,2,1,0,0,2,1,0,0,0,2,1,0,0,2,0,0,1,0,0,2,0,1,2,0,1,1,1,0,1,1,0,1,1,0,0,0,2,2,1,1,0,0,1,0,1,1,0,0,2,0,1,1,2,1,0,1,0,0,1,1,0,1,2,0,2,0,1,0,1,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,2,1,1,0,0,0,1,0,0,0,0,2,0,1,0,1,0,0,0,0,0,0,0,2,0,0,2,1,2,0,0,0,0,1,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,2,1,1,1,0,1,0,1,0,0,0,0,1,0,2,0,2,0,1,0,1,0,1,0,1,1,0,0,1,0,2,1,2,0,0,1,0,1,0,1,2,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,2,1,0,0,0,0,0,1,1,0,1,0,2,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,2,1,1,0,1,0,0,1,1,1,2,0,1,0,0,1,0,1,0,0,1,0,2,1,1,1,1,2,0,0,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,2,2,1,0,0,0,0,0,2,0,0,0,0,0,0,1,1,1,0,0,0,0,1,2,0,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,0,1,1,1,1,1,0,1,2,0,0,1,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,2,1,1,0,2,1,1,0,0,0,0,1,2,0,1,0,1,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,2,1,0,0,1,1,0,0,0,0,0,1,1,1,2,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,2,1,0,0,0,0,1,2,0,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,2,2,1,0,0,1,0,1,1,0,2,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,1,2,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,2,1,1,0,0,0,2,0,1,0,1,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,0,0,1,1,2,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,2,0,0,1,2,1,1,0,0,0,1,0,1,1,2,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1 1,0,1,1,0,0,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,2,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,1,1,1,1,2,0,1,0,2,2,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,1,0,1,0,0,1,2,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,1,1,1,0,1,2,0,1,1,1,1,0,0,0,1,2,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,2,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0,2,1,2,0,1,1,0,0,1,1,0,2,0,0,1,1,1,0,0,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,2,1,0,0,1,0,1,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,1,0,1,0,2,0,1,1,0,1,1,0,1,2,0,0,1,1,1,1,1,1,1,0,0,2,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,2,0,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,2,0,1,0,0,0,0,1,1,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,2,0,1,1,1,0,1,0,1,2,0,0,0,1,1,1,0,0,0,1,0,0,1,1,1,0,1,1,1,1,1,1,0,0,2,1,0,1,0,2,0,0,0,2,0,1,1,0,0,0,2,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,0,0,1,1,2,0,0,0,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,0,2,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,2,0,0,0,0,1,0,1,2,1,1,1,0,0,1,0,0,0,1,1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,1,0,1,2,1,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,2,0,1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,2,1,0,1,2,0,2,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,2,0,0,0,1,1,1,2,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,1,2,1,0,1,0,0,1,2,0,0,1,1,1,1,0,2,2,0,2,0,0,1,0,0,1,0,0,1,0,0,1,0,2,1,1,1,0,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,2,1,1,0,1,1,0,0,0,0,1,0,1,0,0,2,1,0,0,0,0,1,0,0,2,0,0,0,0,1,1,0,0,0,1,0,0,2,1,1,2,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,2,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,2,1,1,0,1,0,0,0,0,0,1,2,0,0,0,0,0,1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1 2,0,1,1,0,1,0,1,0,0,2,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,2,0,1,0,0,0,2,0,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,2,1,0,1,2,0,1,1,0,0,1,0,0,0,2,2,0,0,0,1,1,1,1,1,0,0,1,1,0,2,0,0,1,0,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,2,1,0,1,1,1,0,0,0,0,1,0,0,0,1,1,2,1,0,2,0,0,1,0,0,0,1,1,0,1,2,0,0,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,2,0,1,0,0,2,0,0,2,0,1,1,0,0,0,1,2,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,2,1,0,1,0,1,0,0,2,0,0,0,2,0,1,0,0,1,0,0,1,0,0,0,0,1,1,2,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,1,0,1,1,0,2,0,0,1,0,0,1,2,1,0,0,1,0,1,0,0,2,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,2,0,0,1,0,1,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,1,0,0,0,0,2,0,0,1,0,1,0,0,0,0,0,1,0,0,2,0,1,0,0,0,1,1,0,1,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,2,2,1,1,0,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,1,0,1,0,1,1,1,0,2,1,1,2,0,0,1,1,0,0,1,2,2,0,2,0,0,0,1,0,1,0,0,0,0,2,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,2,1,1,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,2,0,1,1,0,0,1,1,0,0,1,2,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,2,1,1,0,0,1,1,0,1,2,0,1,0,0,0,1,1,1,1,0,1,0,2,0,1,0,0,2,0,1,0,0,1,0,0,0,1,2,2,1,1,0,0,0,1,0,0,1,2,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,2,2,0,0,1,2,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,2,0,0,1,1,0,1,0,0,0,2,0,0,2,0,0,1,0,1,0,2,0,1,0,1,0,1,0,0,0,1,0,2,0,0,1,1,0,2,0,1,0,0,0,0,0,0,0,0,1,0,1,0,2,0,0,1,2,0,1,0,0,0,1,0,0,0,0,0,2,0,1,2,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,2,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,2,1,1,2,0,0,0,2,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0,2,0,0,2,0,1,0,1,0,0,0,1,1,1,0,2,1,1,1,0,0,0,0,1,0,0,2,1,1,1,2,0,1,1,1,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,2,0,1,1,2,0,0,2,1,0,0,0,2,0,0,2,0,1,0,1,0,1,0,1,0,0,1,0,2,0,0,1,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,2,0,0,2,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,2,2,0,0,1 0,0,2,0,2,0,0,2,1,1,1,1,0,0,2,1,0,1,1,0,0,0,1,0,1,1,1,2,1,1,0,1,1,0,0,0,0,0,0,0,0,1,2,0,1,0,0,1,2,0,2,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,2,0,0,0,1,1,0,0,2,0,2,1,2,0,2,1,1,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,1,0,2,0,0,0,2,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,2,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,2,0,2,0,0,0,1,1,1,1,1,0,2,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,2,2,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,1,0,2,2,0,0,1,0,1,0,2,1,0,1,2,1,1,1,1,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,1,0,1,0,0,0,1,1,1,1,1,0,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,2,1,1,0,1,0,2,1,0,1,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,2,2,0,0,1,0,0,0,2,0,2,0,1,0,1,0,0,0,0,0,1,1,1,2,0,0,1,0,0,0,0,0,0,0,1,0,0,2,1,1,0,0,1,2,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,2,0,0,0,1,1,2,0,0,2,0,0,0,0,0,1,0,0,0,1,1,2,1,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,1,1,2,0,0,0,0,1,0,0,1,2,0,1,2,0,1,1,0,0,1,0,0,1,0,0,1,2,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,2,2,0,2,1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,2,0,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,2,2,0,0,0,1,1,0,2,0,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,2,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,2,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0,2,1,0,1,1,0,0,1,1,0,1,2,0,0,0,1,1,2,0,1,1,1,1,1,0,1,1,1,1,2,1,2,1,2,1,0,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0,1,1,2,0,0,0,0,0,0,0,2,0,1,0,0,0,0,2,0,0,1,0,1,1,1,0,1,0,0,2,0,1,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,2,0,1,0,0,0,1,1,1,1,0,1,0,1,1,0,1,1,1,1,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,2,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,2,0,2,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1 1,0,0,0,1,0,1,0,0,1,0,0,0,1,2,0,0,1,2,0,1,0,1,1,1,0,1,1,0,1,2,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,1,0,0,0,1,1,1,1,1,1,1,0,0,0,2,1,1,0,1,0,0,0,0,0,0,0,1,1,2,0,1,0,1,2,1,0,1,1,0,0,2,0,1,2,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,2,1,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,1,0,2,1,0,1,1,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,2,0,0,1,0,1,0,0,1,2,0,0,1,0,0,1,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,2,0,0,0,0,1,0,1,0,0,1,0,1,0,1,1,1,1,0,2,0,2,2,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,1,2,0,1,1,1,1,1,2,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,2,1,1,1,0,0,0,2,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,2,1,0,2,0,1,1,0,1,0,1,0,1,2,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,2,0,0,1,1,0,0,0,2,2,1,1,0,0,0,2,1,1,0,0,2,0,1,0,1,1,2,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,2,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,2,0,1,1,0,2,0,0,1,0,0,0,0,0,0,0,2,2,0,1,0,1,0,0,1,1,0,1,1,0,1,0,2,0,0,1,0,0,1,2,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,2,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,1,2,0,1,0,2,0,1,1,0,0,1,0,0,0,0,0,0,2,1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,1,2,0,0,0,1,0,1,0,2,0,0,0,0,0,1,0,1,0,0,1,1,2,1,0,1,1,1,0,1,0,0,1,0,1,1,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,2,0,0,1,0,2,0,1,1,0,1,0,0,1,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,2,0,2,0,0,0,0,0,1,1,1,0,0,0,0,2,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,1,0,0,1,0,0,0,1,2,1,0,2,1,0,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,1,1,2,0,0,2,0,0,1,0,0,0,1,1,1,1,0,1,1,0,0,1,0,0,1,2,0,0,2,0,1,1,0,1,0,0,1,0,2,1,2,1,0,1,2,2,0,1,0,1,0,2,2,1,1,2,0,1,0,1,0,0,0,0,2,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,2,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,2,0,1,0,0,0,1,0,1,0,2,2,1,1,1,0,0,0,2,0,2,0,0,0,0,0,2,1,0,0,0,1,0,2,0,1,2,1,1,0,0,1,1,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,0,1,1,2,2,0,0,0,1,0,1,0,0,0,0,0,0,0,0,2,1,1,0,1 1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,2,1,1,0,1,0,1,1,2,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,2,0,0,0,1,0,0,1,0,0,0,2,1,0,0,0,1,1,2,0,1,2,0,0,1,0,0,2,0,1,1,0,2,0,0,2,0,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,2,1,0,0,1,0,0,1,1,1,0,2,1,0,0,1,0,1,2,2,1,0,0,2,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,1,0,1,0,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,2,0,0,2,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,2,1,1,0,0,0,0,0,2,1,0,0,0,1,0,1,1,0,0,0,1,2,0,0,0,1,0,0,1,0,0,1,0,0,2,0,1,2,0,1,0,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,1,2,0,2,1,0,2,2,0,0,1,1,1,2,1,0,2,0,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,2,1,0,0,1,1,1,0,0,1,1,2,0,2,0,1,0,2,2,0,0,1,1,2,0,1,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,1,2,2,0,2,1,0,0,1,0,0,1,0,1,2,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,1,2,1,0,2,0,1,0,1,2,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,1,2,0,0,0,0,1,2,1,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,2,0,2,0,1,2,0,1,0,0,0,0,0,1,2,1,0,1,0,0,0,0,1,2,1,0,0,0,0,1,1,0,1,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,0,1,1,2,2,1,0,0,1,0,0,1,0,0,0,1,0,2,0,2,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0,1,1,2,0,2,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,1,2,0,1,2,0,0,1,2,0,2,1,0,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0,1,2,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,2,2,2,1,0,1,0,2,0,2,2,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,2,1,0,0,1,0,0,1,0,1,1,0,0,2,1,0,1,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,2,1,0,1,0,1,0,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,0,0,2,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,1,2,2,0,2,1,1,0,0,1,0,0,1,2,0,2,0,0,0,0,0,0,1,2,0,1,0,0,1,0,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,1,1,0,0,0,1,1,0,2,0,0,1,0,0,1,1,1,1,0,1,0,0,2,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1 0,0,1,0,1,0,1,0,0,1,1,0,0,0,2,0,1,1,0,0,0,0,0,1,2,0,1,2,0,1,0,0,1,0,1,0,2,0,1,0,0,1,0,2,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,1,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,2,0,0,0,1,0,1,0,2,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,1,0,0,1,0,2,0,1,1,0,0,0,1,0,0,1,2,0,1,1,0,1,2,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,1,0,2,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,1,1,1,1,0,2,0,0,1,1,1,2,0,1,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,0,2,0,1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1,1,1,1,0,2,0,0,1,2,0,0,0,0,1,1,0,0,0,0,0,1,1,1,1,0,0,1,1,0,1,2,0,1,0,0,0,1,2,0,0,0,0,1,1,0,0,0,2,0,1,0,0,1,1,0,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,2,1,0,1,1,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,2,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,2,0,0,2,0,2,2,1,0,0,1,2,0,1,2,2,1,0,0,0,1,1,1,0,1,0,0,0,2,1,0,1,0,0,0,1,1,0,1,0,0,1,2,0,1,0,1,1,1,1,0,0,1,1,0,2,0,2,0,2,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,2,1,1,1,1,1,0,0,1,0,0,0,0,2,0,0,0,2,0,1,0,0,0,1,1,0,2,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,2,2,0,0,0,0,0,1,0,2,2,1,1,2,1,0,0,0,0,1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,2,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,2,0,0,2,0,0,0,0,1,1,1,2,2,1,0,1,0,0,1,1,0,1,2,1,1,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,1,0,2,1,1,0,1,0,2,0,0,0,0,1,0,0,1,0,1,2,0,1,0,2,0,2,1,1,0,2,0,2,1,0,0,0,0,2,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,2,1,1,0,2,0,0,0,0,1,1,0,1,2,1,0,1,0,2,0,0,0,2,0,1,0,1,0,1,2,0,0,1,2,0,0,0,0,0,1,0,0,1,1,1,0,2,1,0,0,1,0,0,1,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,1,2,0,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,2,2,2,0,1,2,0,0,0,1,0,1,0,0,0,0,0,2,0,0,1,0,2,1,0,1,1,0,0,0,1,0,0,2,1,2,0,0,0,1,1,0,0,0,1,2,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,2,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,2,1,0,0,1,0,1,0,1,0,0,2,0,1,2,0,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,1,1,1,0,1 1,0,1,0,0,0,1,1,1,1,2,1,0,1,1,0,0,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,2,0,1,1,0,0,1,1,0,0,0,2,0,0,2,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,2,0,2,0,2,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,2,0,1,1,1,0,0,0,0,0,1,1,0,2,1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,1,2,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,2,1,0,0,1,0,2,1,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,2,2,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,2,2,2,0,0,0,1,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,1,0,1,2,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,1,1,0,0,2,0,0,0,1,0,0,1,0,0,1,1,0,2,0,0,1,1,1,0,0,0,1,1,1,1,0,1,0,0,2,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,2,0,1,0,0,1,0,0,0,2,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,2,0,1,1,2,0,0,0,1,0,2,1,0,1,0,2,0,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,0,1,2,1,0,1,0,0,0,1,0,0,1,2,1,0,1,0,1,1,1,0,0,1,0,0,0,0,0,2,1,0,1,2,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0,2,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,2,1,0,1,0,0,0,2,1,0,2,2,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,1,0,0,2,1,1,0,1,1,0,1,2,0,0,1,0,0,1,1,0,1,1,1,0,1,2,1,0,0,0,1,1,0,0,2,0,1,1,2,2,1,0,2,0,2,0,1,0,0,0,0,1,0,1,2,0,1,0,2,1,2,1,1,0,0,1,0,1,0,2,0,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,1,1,2,2,1,1,1,1,0,2,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,1,1,0,1,1,0,2,1,0,1,1,0,0,0,1,0,1,0,1,1,0,1,1,0,1,0,0,2,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,2,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,2,0,0,0,1,0,0,1,0,1,0,1,2,1,0,0,0,0,1,1,1,0,1,0,0,1,0,2,0,0,0,1,1,0,2,0,0,0,0,0,0,0,1,2,0,0,1,0,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,1,2,0,2,0,0,0,0,0,0,0,0,2,0,0,0,1,2,2,2,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1 1,0,1,0,1,1,0,0,1,2,1,1,0,1,0,0,0,1,1,0,0,1,2,0,1,1,0,2,1,0,1,0,2,0,2,0,1,2,0,0,1,2,0,1,2,0,0,1,0,0,2,0,0,0,1,0,2,0,2,1,0,0,0,1,0,0,0,1,0,0,2,0,2,1,0,0,0,1,0,1,0,0,0,0,2,1,1,0,0,0,1,0,0,0,0,1,1,0,2,0,0,1,0,1,0,2,0,1,0,1,0,1,0,2,1,0,0,0,0,2,1,1,0,1,0,0,0,1,1,0,0,1,1,1,1,0,1,0,2,0,1,0,0,1,2,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,1,2,0,1,1,1,1,0,1,1,0,1,2,0,2,0,2,0,0,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,2,1,0,0,0,0,1,1,0,0,1,1,1,1,1,0,0,0,1,0,1,0,0,2,2,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0,2,0,1,1,2,0,0,0,2,2,1,1,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,1,0,1,0,1,0,2,1,1,0,2,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,2,0,0,0,0,2,0,1,0,0,0,1,0,0,1,1,2,0,0,1,1,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,1,0,2,1,0,0,1,0,2,0,1,0,1,0,0,1,0,0,0,0,2,1,0,0,1,1,1,0,1,0,1,0,0,2,1,1,1,0,0,1,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,2,0,2,0,1,0,1,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,2,1,2,1,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,2,1,2,0,1,2,2,0,0,1,0,0,0,1,0,0,1,2,1,0,1,0,0,0,1,1,0,1,1,0,1,1,1,2,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,1,0,2,1,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,2,1,1,1,0,0,0,2,1,0,0,1,0,0,0,0,1,1,0,1,0,0,2,1,2,0,1,2,1,1,1,0,1,0,1,0,0,0,0,0,0,2,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0,0,2,0,1,0,0,1,0,0,1,2,1,0,2,0,1,0,1,0,1,0,2,0,0,1,1,0,2,1,1,0,1,2,1,1,1,0,0,1,1,1,2,1,2,1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,2,1,0,0,0,2,2,0,1,0,0,0,1,0,0,1,1,1,1,1,0,0,2,2,0,0,0,1,1,2,0,2,2,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,2,0,0,0,0,1,0,1,2,2,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,1,2,1,1,0,0,0,0,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,2,2,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,1,0,1,2,0,0,0,0,0,1,1,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,1,0,2,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1 0,0,1,0,1,0,1,0,2,0,2,1,0,2,1,0,0,0,1,1,1,0,1,0,1,0,1,1,0,0,1,0,2,0,0,0,2,1,0,1,1,0,0,0,2,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,2,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,1,1,0,0,1,1,2,1,0,0,1,0,1,0,1,0,2,2,0,2,1,1,0,0,1,0,0,1,0,1,0,2,0,0,2,2,0,0,2,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0,1,2,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,1,1,0,2,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,2,0,1,0,0,0,2,1,0,0,0,0,0,0,0,2,0,0,1,0,1,0,1,0,1,0,1,1,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,2,1,1,2,1,1,0,0,2,0,0,0,0,0,1,1,1,0,2,1,0,2,0,1,0,0,1,1,1,0,1,2,1,1,1,0,1,0,0,1,0,2,0,1,0,0,1,1,1,1,0,0,0,1,1,1,1,0,0,1,0,1,2,0,0,1,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,2,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,2,0,1,0,1,0,0,1,0,0,0,1,0,2,2,0,2,0,0,0,0,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,2,0,1,0,1,2,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,2,1,0,0,0,2,2,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,2,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,2,1,0,0,0,0,2,1,1,1,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,0,0,1,1,1,0,2,0,1,0,1,0,1,0,2,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,1,2,1,0,2,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,2,0,1,0,0,0,0,0,2,2,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,2,2,1,0,1,0,0,1,0,0,0,0,1,0,0,1,2,0,1,1,0,1,2,0,2,0,1,0,0,0,1,1,0,0,1,0,0,0,2,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,2,0,2,0,0,0,0,1,1,1,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0,2,1,0,0,1,0,0,1,1,0,1,1,1,0,2,1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,2,2,2,0,2,0,0,0,0,0,0,0,1,2,2,2,0,0,2,0,0,0,0,0,1,0,0,0,0,2,2,0,0,0,0,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,2,1,0,1,1,0,2,0,0,2,0,0,0,0,1,1,0,2,0,1,0,1,1,1,0,0,1,0,1,1,2,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0,0,0,2,1,0,1,1,0,0,0,0,2,0,0,0,0,0,0,1,1,0,2,0,0,0,2,0,1,0,0,2,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,2,0,0,0,0,0,2,0,0,2,0,1,1,1,0,2,1,0,1,1,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,1 1,1,0,1,0,1,1,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,2,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,2,1,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,2,0,1,1,0,2,0,0,2,1,0,1,2,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,1,2,2,0,2,0,0,2,0,1,1,1,0,1,1,0,1,0,0,2,1,1,0,1,0,1,1,1,1,1,0,0,0,1,1,2,0,2,0,1,0,0,1,0,1,0,0,0,0,2,2,1,1,0,0,0,1,0,1,0,2,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,1,1,0,0,1,2,0,1,0,1,1,1,1,0,0,1,1,2,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,2,1,0,1,2,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1,0,0,2,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1,1,1,0,1,0,1,1,1,2,1,2,0,0,0,0,2,0,0,0,0,1,0,1,1,0,0,0,0,2,1,0,0,1,1,0,0,1,1,1,0,0,0,2,0,0,0,0,0,1,0,1,1,1,1,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,2,0,0,0,0,2,0,1,0,0,1,1,0,1,1,1,1,0,0,1,2,2,0,0,1,1,0,2,1,0,1,0,0,0,0,0,0,1,0,0,2,0,1,1,0,0,0,1,2,2,1,0,1,1,0,0,2,1,1,0,0,1,0,1,0,1,0,0,0,1,2,0,0,1,1,0,1,1,0,1,0,1,2,0,1,0,1,2,1,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,2,0,0,0,0,0,2,0,0,0,1,2,0,0,0,2,0,1,2,1,0,2,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,2,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1,1,1,2,2,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,1,1,2,0,2,0,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,2,1,0,0,2,0,1,0,1,0,0,1,2,0,0,0,1,1,1,0,2,1,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,2,0,0,1,1,0,0,0,1,0,0,2,0,2,1,1,0,2,1,1,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,1,1,0,1,0,2,0,0,0,1,0,0,0,0,1,0,0,2,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,2,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,1,2,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0,1,1,1,1,0,0,1,1,0,0,2,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,2,1,1,0,0,0,0,2,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,1,2,0,0,1,0,1,0,0,0,2,0,0,0,1,0,1,0,0,0,0,1,0,0,0,2,0,0,1,0,1,1,0,1,2,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,2,0,1 1,1,1,2,1,1,1,0,1,2,1,0,1,1,0,1,0,1,0,0,0,1,2,0,1,0,1,1,1,1,1,0,1,0,1,0,1,1,1,0,1,1,0,1,2,1,0,0,0,2,2,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,2,1,1,0,1,0,0,1,2,0,0,0,0,0,0,1,2,0,1,0,2,1,2,1,0,0,0,1,1,0,1,0,0,1,0,1,1,2,0,1,1,0,0,1,0,0,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,1,2,0,0,1,0,0,2,0,1,0,1,0,0,1,2,2,2,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,2,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,2,1,0,1,0,1,0,1,1,0,1,0,2,2,0,0,1,0,1,1,0,0,0,1,1,0,0,1,2,0,2,1,2,0,2,0,1,2,0,2,0,1,1,0,0,0,0,0,0,1,0,1,2,1,0,0,0,1,1,0,0,0,2,1,2,0,0,0,0,0,0,2,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,2,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,2,1,2,0,2,0,0,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,2,1,1,0,1,0,1,2,0,0,1,1,2,1,1,1,0,1,0,0,0,0,2,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,2,1,0,1,2,0,2,0,0,1,0,0,0,0,0,0,2,1,0,0,0,1,0,0,2,1,0,0,1,0,0,0,2,0,1,0,0,0,0,0,2,0,1,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,2,0,1,0,0,0,2,0,0,1,1,2,0,1,0,1,1,0,0,0,2,1,0,0,0,0,1,1,1,0,0,0,1,0,0,2,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,1,1,0,1,0,0,1,2,1,1,1,2,0,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0,1,0,2,1,1,1,1,2,1,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0,1,2,0,0,2,0,0,1,1,2,0,1,0,0,0,0,0,2,2,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,2,2,0,0,0,1,1,1,0,2,0,2,0,1,0,0,0,1,1,0,0,1,1,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,2,1,2,0,2,0,0,0,0,0,1,1,0,2,0,2,0,0,0,1,0,2,0,0,0,1,1,0,0,0,0,0,1,1,0,2,0,0,1,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,1,2,0,1,1,0,2,0,0,1,1,0,1,1,0,0,0,0,0,2,1,0,2,0,2,0,1,0,2,0,0,1,2,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,2,1,1,0,0,0,1,0,2,1,1,0,1,1,2,0,0,0,2,2,0,0,0,1,0,1,0,0,1,0,2,1,1,0,1,1,1,0,2,1,1,0,0,0,1,1,0,0,0,0,0,0,2,0,1,0,0,1,2,0,1,0,1,0,0,1,1,0,1,0,0,2,2,0,0,0,0,1,1,0,1,1,0,0,0,2,0,2,0,0,1,2,0,0,1,0,1,0,0,0,0,2,2,0,0,1,1,0,0,0,1,0,1,0,0,0,0,2,1,1,1,0,0,1,0,1,2,1,2,1,0,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,1,1,0,1 0,0,1,0,0,0,0,1,1,0,0,2,1,2,2,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,2,0,1,1,0,0,0,0,2,2,0,0,0,0,1,1,0,2,1,0,0,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,2,0,2,0,2,1,0,0,0,1,0,0,1,0,0,2,0,1,2,0,0,0,0,2,0,0,0,0,1,0,0,0,1,1,1,2,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,1,1,1,0,1,0,2,0,0,0,0,1,0,1,1,0,1,1,0,0,0,2,0,0,2,0,1,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,1,2,1,0,1,1,2,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,2,1,2,1,0,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0,1,1,1,1,2,1,0,1,0,1,0,1,2,2,0,0,0,1,1,2,0,0,0,0,2,0,0,1,0,2,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,2,0,0,0,1,0,0,2,0,1,0,0,0,1,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,2,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,2,1,0,1,1,2,2,0,1,0,0,1,0,1,0,0,0,0,1,2,0,2,0,2,0,0,0,0,0,0,0,2,0,0,0,0,1,2,0,1,0,1,0,0,0,1,0,0,1,1,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,2,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,2,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,1,1,1,0,2,0,1,0,0,0,2,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,2,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,2,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,2,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,0,2,0,1,2,0,0,0,0,0,1,1,1,0,0,0,1,0,1,1,2,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,1,1,2,0,0,0,2,1,1,0,0,1,2,0,0,0,0,0,2,1,2,0,0,0,1,1,1,0,0,1,2,0,1,1,2,1,0,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,1,2,0,2,0,0,0,0,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,2,2,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,2,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,2,0,0,0,1,0,1,0,1,2,1,0,2,1,1,2,1,0,0,0,1,0,0,0,0,1,0,0,1,1,2,0,0,1,0,1,1,0,1,2,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,2,1,1,0,0,2,0,0,1,0,0,0,2,0,0,0,0,1,2,1,0,1,0,0,1,2,2,0,0,1,0,0,2,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1 1,0,0,1,2,0,0,1,0,0,1,2,1,1,1,1,0,2,1,0,0,0,1,1,2,1,0,2,1,1,2,0,0,0,0,0,2,0,1,0,2,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,2,0,1,0,0,1,0,2,0,0,0,0,2,0,2,0,0,0,0,0,1,0,0,0,0,1,0,2,1,0,0,0,1,0,1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,2,1,1,0,0,0,0,1,0,2,0,1,0,2,0,0,2,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,2,0,0,0,0,0,1,1,0,1,1,0,1,1,0,1,0,2,0,1,1,1,0,0,0,0,0,1,1,1,1,0,1,1,2,0,0,0,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0,1,2,1,1,2,1,1,2,2,1,0,1,0,2,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0,2,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,2,1,0,1,1,1,2,1,0,0,1,0,1,1,0,0,2,0,2,0,1,0,0,2,0,0,0,0,0,0,0,1,0,2,2,0,1,1,2,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,2,1,1,1,0,2,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,1,1,0,0,1,1,2,1,2,0,0,1,1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,2,1,1,0,0,1,0,2,0,0,0,0,2,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,2,0,0,0,1,1,1,1,2,0,0,0,0,0,2,0,1,1,1,0,1,0,0,1,0,0,2,0,0,0,1,0,1,0,1,0,0,1,1,0,2,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,2,1,0,1,0,1,0,1,1,0,1,1,1,2,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,2,0,1,1,0,0,1,2,1,1,0,0,2,0,0,0,0,1,1,2,1,0,1,1,0,0,0,0,2,1,1,1,1,2,2,1,0,1,0,2,0,2,0,1,0,0,0,2,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,2,0,0,0,0,2,1,2,1,0,0,0,2,1,0,0,0,0,0,0,0,0,1,1,0,1,2,2,0,0,0,0,1,1,0,1,1,0,2,1,1,2,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,1,1,0,0,0,0,0,1,0,1,0,2,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,2,2,0,0,1,0,1,1,0,0,1,1,0,0,0,2,0,0,0,1,0,0,0,0,1,1,1,1,0,0,0,1,0,0,2,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,1,0,2,0,0,0,2,0,0,1,1,0,2,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,2,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,2,1,0,0,1,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,1,1,1,0,1 1,0,1,0,0,0,0,1,1,1,2,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,2,2,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,2,0,1,1,0,0,1,1,0,2,0,0,1,1,0,0,0,1,1,1,0,0,1,0,1,1,2,0,0,0,0,0,0,2,1,0,2,1,1,1,2,1,0,0,0,1,1,0,2,0,2,1,1,2,0,1,0,1,1,0,0,0,1,0,0,0,0,2,1,2,1,1,1,0,0,1,1,1,0,0,2,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,1,2,1,1,1,0,1,0,1,1,2,0,1,1,1,0,2,0,1,2,0,0,1,1,1,0,1,0,1,1,0,0,0,1,2,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,1,1,2,2,1,1,0,1,1,0,0,0,1,1,2,0,1,0,0,1,0,0,1,2,1,1,2,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0,1,1,1,1,2,0,0,0,0,0,0,0,0,1,0,0,2,1,0,1,2,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,2,1,1,0,1,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,1,2,2,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,1,0,2,2,0,1,0,1,1,2,1,2,1,0,0,0,0,0,2,0,0,2,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,0,1,1,0,2,0,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,2,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,2,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,0,1,0,0,1,1,2,0,2,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,2,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,2,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,2,0,0,1,0,0,0,1,2,0,0,1,2,0,0,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,2,1,0,1,0,0,1,0,1,1,0,0,0,0,2,0,1,0,0,1,1,0,1,1,1,0,2,0,0,1,2,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0,1,2,1,0,0,0,1,0,0,0,0,0,2,0,0,0,1,1,1,1,1,0,0,1,0,0,2,0,1,0,0,1,0,0,0,0,0,2,1,0,1,1,2,1,1,0,1,0,1,0,1,0,2,0,0,0,1,1,1,0,0,0,0,0,2,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,2,0,1,1,0,0,0,2,0,2,2,0,0,0,1,0,0,1,1,0,1,2,0,0,1,2,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,2,1,0,0,1,0,2,2,1,1,1,0,0,2,2,0,0,2,0,0,0,0,2,1,0,2,0,0,0,0,0,0,1,0,0,0,0,1,2,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,2,2,0,0,0,0,0,2,0,1,0,0,0,1,1,0,2,1,0,0,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0,1 0,0,2,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,2,1,0,1,1,2,0,0,0,2,0,0,1,0,0,1,1,0,0,0,2,0,1,2,1,0,0,1,0,1,0,0,0,0,0,1,1,2,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,1,2,1,1,1,1,0,0,0,0,1,2,0,0,1,1,1,1,0,0,0,1,0,1,0,2,0,2,1,1,1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,1,0,2,0,0,1,0,2,1,0,1,0,0,0,0,0,0,0,0,0,2,1,1,2,0,1,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,2,0,0,1,0,1,2,0,0,1,0,1,0,0,0,1,0,2,1,1,0,1,0,0,0,2,0,1,1,2,0,0,0,0,0,0,0,0,1,2,1,0,0,2,1,0,0,1,1,0,1,2,0,0,1,0,1,0,0,0,1,1,2,1,1,0,0,0,1,0,1,0,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,1,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,1,1,0,1,1,0,1,0,0,1,0,1,0,2,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,2,1,2,0,1,1,0,1,1,0,2,0,2,1,2,2,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,1,0,1,2,2,1,0,1,1,0,1,0,2,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,2,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,2,0,0,1,2,0,2,0,1,0,1,0,0,1,2,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,1,1,2,0,0,0,0,0,1,0,1,0,1,0,1,2,0,0,1,0,1,0,0,1,1,2,1,1,2,0,2,1,0,1,0,0,1,0,0,0,1,2,2,0,0,2,1,0,0,0,0,0,0,0,0,2,0,1,1,0,0,0,1,0,0,1,1,1,1,0,2,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,2,0,1,1,0,1,0,2,0,0,1,1,1,0,1,0,0,2,0,0,0,2,0,0,0,1,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,1,0,2,1,1,2,1,1,2,2,0,0,0,0,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,2,0,0,1,2,1,0,0,1,0,0,2,0,0,0,0,0,2,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,2,0,1,1,2,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,0,2,1,2,2,1,0,0,0,0,0,0,0,2,1,1,0,1,1,2,2,0,1,0,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,2,0,1,0,0,1,2,1,1,0,1,0,1,0,2,1,2,2,0,0,0,0,1,0,0,1,1,0,1,1,0,2,1,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,0,1,2,1,0,1,0,0,0,0,0,0,1,1,0,0,1,1,0,2,0,0,1,0,0,0,0,1,0,0,0,2,2,0,0,1,0,0,2,0,2,0,1,0,0,0,0,1,1,1,0,1,0,1,2,0,0,0,0,2,0,0,1,0,1,1,2,0,1,1,1,2,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1 2,0,1,1,1,0,0,0,2,1,0,0,0,0,2,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,2,0,2,1,0,0,1,1,1,0,1,2,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,1,1,0,1,1,2,0,1,1,1,0,1,1,0,0,0,0,0,2,2,0,1,1,2,0,0,2,1,0,2,1,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,1,0,2,0,2,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,2,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,1,1,1,2,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,2,0,0,0,0,1,0,0,1,0,0,1,0,0,1,2,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,1,0,0,1,0,2,2,0,0,2,1,0,1,1,2,2,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,2,1,0,0,0,2,1,0,1,1,1,1,0,0,0,1,1,0,2,0,0,1,1,0,0,0,0,0,1,0,0,2,0,0,0,1,1,0,0,1,1,1,0,1,0,0,2,2,0,1,0,0,0,1,2,0,2,1,0,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,2,0,0,0,0,1,0,1,0,0,2,2,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,1,1,0,1,1,0,1,2,1,0,2,1,1,1,0,0,0,1,2,0,0,0,0,1,0,2,1,1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,2,0,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,2,1,0,1,0,0,0,0,0,1,2,0,2,0,0,2,1,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,1,0,1,1,0,2,1,0,0,0,0,0,1,0,1,0,0,1,2,0,1,1,0,0,0,2,1,1,0,1,0,0,0,2,0,0,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,2,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,1,2,1,0,0,0,2,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,1,2,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,2,0,1,1,0,1,2,1,2,0,1,0,1,1,1,1,2,1,0,0,1,1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,2,0,0,1,1,2,0,0,1,0,1,0,1,0,1,2,0,0,1,1,0,2,1,0,0,1,0,0,0,2,0,1,0,0,2,1,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,2,1,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,2,1,0,1,0,0,0,1,0,1,2,1,1,2,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,2,2,0,0,1 0,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,2,0,0,0,1,0,2,1,2,0,0,1,2,0,2,0,1,0,0,0,1,0,1,0,0,2,1,0,0,1,0,0,2,1,0,0,1,0,1,0,1,0,0,0,1,1,1,0,0,2,0,0,1,0,1,0,0,0,1,2,0,0,0,0,1,1,1,0,1,0,1,1,1,2,0,0,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0,1,2,1,0,0,2,0,0,1,1,1,0,0,2,0,1,0,0,0,0,1,0,2,0,0,2,1,1,0,0,0,0,2,0,2,0,1,0,0,0,1,0,0,1,0,1,0,0,2,0,0,2,2,0,0,0,0,0,0,0,0,1,0,0,1,1,2,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,1,0,2,1,0,0,0,0,2,0,0,0,0,1,2,1,1,0,0,0,0,0,1,2,1,1,1,1,0,1,0,0,0,2,0,2,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,2,0,0,1,0,2,0,1,1,0,1,1,0,0,0,0,2,1,1,1,1,0,0,0,1,1,0,2,0,0,0,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,2,2,1,0,1,0,2,0,0,0,1,1,0,2,0,0,1,0,1,2,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,1,2,2,0,0,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,2,2,0,1,1,0,0,1,1,1,0,0,1,1,0,0,2,0,1,0,0,0,0,0,1,0,1,2,1,1,1,0,0,0,1,1,0,0,0,0,0,0,2,0,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,2,0,0,0,1,1,0,0,2,1,0,1,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,2,1,1,0,1,0,0,0,2,1,2,0,1,0,0,0,0,0,1,2,1,1,0,0,0,0,0,2,1,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,1,0,1,0,0,2,0,0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,2,0,1,1,0,0,1,1,0,0,2,0,0,0,0,0,0,2,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,2,1,0,0,0,0,0,2,0,0,1,1,1,0,0,0,0,1,0,2,1,0,1,1,0,0,0,2,0,1,1,0,2,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,2,0,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,1,2,0,0,1,2,0,0,0,1,0,2,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,2,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,2,1,1,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,2,1,1,1,0,0,1,1,0,0,0,0,0,2,0,1,1,1,1,2,1,1,1,0,1,0,0,1,2,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,2,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,2,1,1,0,1,0,1,1,0,0,0,1,0,0,2,1,0,2,1,2,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,2,0,0,1,2,1,0,0,1,0,1,0,0,0,1,1,1,1,1,0,1 2,0,0,1,1,1,0,1,1,0,0,0,1,2,1,1,0,0,1,0,0,0,0,0,1,2,0,1,0,1,1,0,1,1,0,0,1,1,0,1,0,2,1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,2,1,0,0,0,1,1,0,1,0,2,0,0,0,0,0,1,0,1,1,0,0,1,2,2,0,0,1,1,1,0,2,0,2,1,0,2,2,0,0,0,1,1,0,2,0,1,0,1,0,1,1,2,0,1,1,0,0,0,1,0,1,0,1,0,0,2,0,0,1,0,1,0,0,0,0,1,2,2,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,1,1,0,0,2,0,2,0,1,0,1,2,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,2,1,0,0,1,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,2,1,0,1,1,0,0,1,1,0,0,1,0,2,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,2,0,0,1,0,0,1,0,0,1,2,0,1,0,0,0,0,0,1,1,0,0,0,0,0,2,2,1,0,0,1,2,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,2,1,0,1,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,2,2,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,0,1,2,1,1,0,1,0,1,1,1,0,1,0,1,0,1,2,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0,1,1,1,2,1,1,0,0,0,0,0,2,0,1,0,1,0,0,0,0,0,2,0,0,2,0,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,2,0,0,0,0,1,1,1,1,1,1,2,1,0,0,2,0,0,1,0,2,2,1,0,0,0,0,1,1,1,2,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,2,1,0,0,0,0,0,0,0,1,0,0,1,1,0,2,0,0,1,0,1,0,1,0,0,1,1,0,1,1,1,0,2,1,0,1,0,1,0,0,0,0,0,1,0,1,0,2,0,0,1,0,1,1,2,0,1,0,1,0,0,0,0,0,0,0,2,1,0,0,0,1,1,1,0,2,2,1,2,0,0,0,1,0,1,0,1,0,0,0,2,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,2,0,1,0,0,2,0,1,0,2,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,2,1,2,0,2,0,1,2,1,0,1,1,1,0,0,1,2,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,1,2,1,0,1,0,1,1,0,1,1,1,1,1,0,0,2,1,0,2,0,0,0,0,0,1,0,0,1,1,2,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,2,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0,1,2,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,2,0,0,1,0,1,1,0,0,0,0,0,1,2,0,0,0,1,1,0,1,0,0,0,1,1,0,2,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,2,0,2,0,1,1,0,0,1,0,2,2,0,1,0,0,2,0,1,0,1,2,0,1,0,0,0,0,1,1,0,0,1 0,1,1,1,2,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,0,1,0,2,0,0,0,1,0,1,0,1,2,0,2,0,1,0,0,0,2,1,0,0,0,0,0,1,0,1,1,0,0,2,0,1,1,2,2,1,0,2,1,0,0,0,0,1,1,0,0,0,0,0,2,0,0,1,1,2,0,1,2,0,0,0,1,2,0,1,0,1,1,0,1,1,0,0,0,0,2,1,0,0,0,2,1,0,0,2,1,0,1,2,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,2,0,1,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,1,1,1,0,2,1,0,0,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,2,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,2,1,0,2,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,2,1,0,0,0,1,1,2,0,0,1,0,0,1,0,0,0,1,1,1,0,1,2,1,0,0,1,1,0,1,0,0,0,0,1,1,1,0,2,1,0,0,0,0,1,0,0,1,0,2,0,1,1,0,0,0,0,2,1,0,0,0,1,0,0,0,1,0,0,0,2,1,0,1,0,1,0,1,0,1,2,1,1,0,1,0,0,1,0,1,0,0,2,0,0,0,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,2,0,0,0,1,2,1,1,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0,1,1,2,1,0,0,1,1,0,0,1,1,0,1,2,0,1,1,0,2,1,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,2,0,1,0,0,0,0,1,0,1,1,2,1,0,1,1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,2,2,0,1,1,0,2,2,0,0,1,2,1,0,1,1,0,1,1,0,2,0,1,0,0,0,0,2,0,0,0,1,0,1,0,0,2,1,2,0,0,1,0,1,0,0,0,0,1,1,2,0,0,0,0,1,0,2,0,1,2,1,0,1,2,1,1,0,1,1,1,1,0,0,0,1,0,0,0,2,1,1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,1,2,0,0,0,0,1,2,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,1,1,2,0,0,2,1,1,0,1,0,0,0,0,0,1,0,1,0,2,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,2,1,1,0,1,0,1,2,0,0,0,0,0,1,1,1,1,0,1,1,0,2,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,1,1,0,1,1,2,0,2,0,0,0,0,1,0,0,0,2,1,0,0,1,1,0,2,1,0,1,0,0,1,1,1,2,1,1,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,2,1,1,1,1,0,0,0,1,0,2,1,0,0,1,0,2,1,1,1,0,1,0,1,1,1,0,1,1,1,1,1,0,2,0,0,0,2,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,1,0,2,1,0,0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1,1,0,0,1,0,2,2,0,0,0,1,2,0,0,0,0,1,0,0,1,1,2,0,0,0,0,1,1,0,0,1,1,0,2,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,1,1,1,0,0,0,0,0,2,1,1,0,0,0,0,0,2,0,0,0,0,1,1,0,1,1,0,0,2,0,1,1,0,1,1,0,0,0,0,0,0,1,1,1,0,1 1,0,1,0,0,1,0,2,0,0,0,0,0,2,0,1,0,1,1,0,0,0,1,1,1,0,1,2,0,0,0,0,1,0,0,1,0,0,1,0,0,2,0,1,0,0,1,0,2,1,0,0,0,0,0,0,2,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,2,1,0,1,2,0,0,1,0,0,1,1,0,1,0,2,0,0,0,0,0,2,0,1,0,1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0,2,2,1,1,0,0,0,0,0,1,0,2,1,1,1,0,2,0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,2,0,0,2,1,0,0,1,1,1,0,0,0,1,2,0,1,0,1,0,0,1,1,1,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,1,1,1,0,0,2,0,0,0,0,1,1,1,0,0,1,1,0,0,1,0,1,1,1,2,2,0,0,2,2,0,0,2,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,2,1,0,0,1,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,1,0,0,2,0,0,0,0,0,0,1,0,0,0,0,1,0,2,1,2,1,0,0,2,0,0,0,0,1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,2,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,1,1,1,1,0,2,0,1,0,1,0,1,1,0,0,0,1,1,0,2,1,0,2,1,0,1,1,1,0,1,0,0,1,0,2,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,2,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,1,1,1,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,2,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,1,2,1,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,2,1,0,1,1,0,2,0,0,1,0,1,0,1,1,0,0,0,1,1,2,1,0,2,0,0,1,1,0,1,0,1,1,2,1,1,1,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,2,0,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,2,0,1,0,0,1,0,1,1,0,0,0,0,2,1,0,0,0,1,0,0,0,2,0,0,1,1,0,0,1,2,1,0,0,0,2,1,0,1,0,1,0,2,1,1,1,0,1,0,0,0,1,1,2,0,0,0,1,0,2,1,2,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,0,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,2,2,1,2,0,0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,2,2,0,1,0,2,0,0,0,1,1,1,1,2,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,2,1,0,0,0,1,0,1,1,0,0,2,1,0,2,1,1,0,0,1,0,0,0,1,1,2,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,1,0,1,0,1,1,0,1,1,0,1,0,1,1,1,1,1,1,1,0,0,1,1,2,0,0,1,0,0,1,0,1,2,0,0,2,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1,1,2,2,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,1 1,0,2,2,0,0,1,0,0,0,0,0,0,0,0,1,0,2,1,0,1,1,0,0,1,0,1,1,0,1,2,0,2,0,1,0,2,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,2,0,0,1,2,0,1,1,0,2,2,2,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,2,2,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,1,2,0,0,0,0,0,0,2,0,2,0,0,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,2,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,2,1,0,0,1,1,2,0,2,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,2,2,2,0,0,0,0,1,0,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,1,2,0,2,0,1,1,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,2,1,2,0,0,1,0,1,0,1,2,0,1,0,0,1,0,0,2,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,1,1,0,1,2,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,2,0,0,1,0,0,0,0,0,1,2,0,0,0,1,0,0,1,0,0,2,0,2,0,1,2,1,0,1,0,1,2,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0,1,1,1,1,0,1,2,0,0,0,0,1,1,0,2,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,2,1,2,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,2,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,1,0,0,0,0,0,1,1,2,2,1,1,1,1,1,2,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,2,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,1,2,2,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,2,1,1,0,2,2,0,1,2,0,1,0,1,1,2,1,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,2,1,0,2,0,0,1,0,2,0,2,0,0,0,1,1,0,0,1,2,2,0,0,0,2,1,1,1,0,0,1,0,0,0,0,0,1,1,0,2,0,1,0,0,0,0,1,1,1,2,1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,2,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,2,0,2,0,0,1,0,0,0,1,1,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,2,0,1,0,0,0,0,1,1,1,1,2,0,2,1,1,0,1,0,2,1,1,0,0,0,1,1,1,1,1,1,1,1,2,0,0,0,0,0,2,0,1,1,1,0,0,0,1,1,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,1,1,1,1,0,1,0,2,0,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,2,1,2,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,0,1,0,0,0,0,1,1,1,0,0,1,0,0,0,0,1,2,0,0,1,0,1,1,1,1,1,0,2,0,1,0,1,1,0,1,1,0,1,0,0,1,2,0,0,0,0,0,0,0,2,2,2,0,2,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,2,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,2,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,1,2,0,1,0,0,1,0,0,0,1,0,0,1,2,1,1 1,0,1,0,1,1,0,1,0,0,2,1,1,1,0,0,0,0,2,0,0,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,1,1,0,1,1,1,0,2,1,1,0,0,0,0,0,1,2,1,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,2,0,0,0,0,2,1,0,0,0,0,1,2,0,0,2,1,2,0,1,1,1,0,1,1,0,0,0,0,1,1,0,1,1,2,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,2,0,0,0,1,0,2,1,0,2,0,2,0,1,2,1,0,2,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,2,2,0,0,0,0,0,0,0,1,0,1,1,2,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,1,2,2,1,1,0,1,0,0,0,0,1,1,2,0,1,0,1,1,2,1,0,1,0,0,1,1,2,2,0,1,0,2,1,0,1,0,0,0,0,0,2,0,0,0,0,1,0,2,0,1,0,1,0,1,0,0,0,0,1,2,0,1,0,1,2,1,1,2,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,2,2,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,0,0,2,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,2,0,0,1,1,1,1,0,0,0,2,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,2,0,0,0,1,0,2,0,0,2,1,0,1,1,0,0,1,1,2,1,0,1,0,0,1,1,0,0,0,2,0,2,0,1,2,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0,0,0,2,0,0,0,0,2,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,2,2,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,2,2,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,2,2,0,0,1,0,0,1,0,0,0,0,2,0,0,0,2,0,0,0,0,1,1,1,1,0,1,0,0,0,1,1,1,1,2,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,1,1,1,0,2,0,0,1,2,0,0,0,0,2,0,0,0,2,0,1,0,0,0,0,0,1,1,1,0,2,1,1,0,0,0,0,1,1,0,0,0,0,1,0,2,0,0,1,1,0,1,0,0,0,2,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,2,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,2,0,0,0,1,1,2,1,0,0,1,0,0,1,0,1,0,1,1,0,0,1,1,0,2,1,2,2,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,1,0,2,0,0,0,0,0,0,2,0,1,0,1,1,0,0,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,2,1,1,1,1,1,0,1,1,0,1,1,1,1,2,0,0,2,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,2,0,1,0,0,0,2,0,0,0,1,1,0,1,2,2,0,0,0,0,0,1,0,0,1,1,0,0,1,2,1,2,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0,0,0,1 0,0,1,1,0,1,0,1,1,1,1,2,0,1,2,2,0,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,2,0,0,0,1,0,0,0,0,1,1,2,1,0,0,0,0,1,2,0,0,1,0,0,0,0,1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,2,0,2,0,0,0,1,0,0,0,2,1,2,0,1,0,0,0,2,0,0,0,1,0,0,0,0,1,1,0,2,0,0,0,0,1,1,2,0,2,0,1,2,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,2,0,1,0,0,1,0,0,1,1,0,1,1,2,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,0,2,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,2,1,0,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,1,1,0,1,0,1,1,0,1,0,2,0,0,1,1,0,2,0,1,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,1,2,0,2,0,0,0,0,1,0,1,0,2,1,0,0,0,0,1,1,2,0,0,0,0,0,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0,1,0,1,2,0,1,0,0,0,0,1,1,0,0,2,1,0,1,0,0,0,0,0,1,2,0,0,0,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,2,0,1,0,1,1,1,0,2,0,1,0,0,0,0,0,1,0,0,1,2,0,0,0,1,1,0,1,1,0,0,1,0,0,1,1,2,1,0,0,0,1,0,1,1,2,0,0,2,1,1,1,2,0,0,0,1,0,1,2,0,2,1,1,0,0,1,1,0,2,1,1,1,1,2,0,0,0,1,0,0,2,1,0,2,1,2,0,0,0,0,0,0,2,0,2,0,0,0,1,0,1,0,1,0,0,0,2,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,1,1,2,2,1,0,0,1,1,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,1,2,0,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0,2,1,1,0,0,2,1,1,0,0,1,0,0,1,0,2,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,2,0,0,0,1,2,2,0,1,1,0,0,1,0,1,1,1,0,2,1,0,1,0,0,0,0,2,1,0,2,1,1,0,1,0,0,1,1,0,1,0,0,2,1,2,1,0,0,0,1,1,0,2,0,0,0,1,0,0,1,0,0,1,2,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,2,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,2,1,0,0,0,2,0,0,1,0,2,0,1,0,0,1,2,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,1,2,0,1,1,0,1,0,1,0,2,0,0,0,1,0,2,0,1,2,0,2,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,1,2,2,0,1,1,0,2,0,0,1,1,0,0,0,0,0,0,0,2,1,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,2,2,0,0,1,1,2,1,0,1,0,0,0,0,1,0,2,1,1,1,1,0,0,0,2,0,0,0,2,1,0,1,0,2,1,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,2,1,0,2,0,0,0,0,1,0,1,1,1,1,0,1,0,0,1,2,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,1,1,1,0,1 0,0,0,0,0,1,0,0,0,2,2,0,1,1,2,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,0,2,2,1,1,1,1,0,0,2,2,1,0,1,0,1,0,0,0,2,0,1,0,0,0,1,0,0,1,0,2,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,1,0,1,1,0,2,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,2,0,1,0,0,0,1,0,0,0,1,0,2,0,0,1,0,0,1,0,0,0,2,0,0,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,2,0,0,1,1,1,0,1,0,1,1,1,0,2,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,2,0,1,0,0,0,0,0,0,0,0,1,1,1,2,0,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,1,0,2,0,0,1,0,0,1,1,0,0,1,1,0,0,2,1,1,1,1,1,0,0,1,1,0,1,0,0,0,2,0,0,0,0,1,1,0,2,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,2,0,1,2,1,0,0,0,2,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,2,1,2,0,0,0,0,2,0,1,1,1,1,0,0,0,0,0,0,2,1,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,1,0,1,2,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,1,1,0,1,1,1,1,1,2,0,0,1,0,0,0,0,2,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,2,0,0,0,1,2,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,2,1,0,0,1,1,0,0,2,1,0,0,1,0,0,1,0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,2,2,1,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,2,1,0,1,0,1,0,0,0,0,1,1,0,1,0,1,0,1,2,0,2,1,1,1,0,1,0,2,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0,2,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,2,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,1,1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,2,1,0,0,2,0,1,0,1,1,2,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,1,2,1,1,0,1,1,0,0,1,0,2,1,0,1,1,1,0,0,1,1,0,1,0,1,2,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,2,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,1,1,1,0,2,1,2,0,0,0,2,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,1,1,1,1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,2,0,1,2,1,1,0,0,0,1,0,0,1,2,0,1,0,1,0,0,1,0,1,1,0,0,1 2,0,0,0,0,1,0,1,0,0,1,0,2,0,1,0,0,1,2,0,0,1,0,1,0,0,2,2,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,2,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,2,0,1,0,0,1,1,1,0,1,1,2,0,0,0,0,1,0,2,1,1,0,1,1,1,2,0,0,0,2,0,0,0,0,1,1,0,1,2,1,0,0,0,2,1,1,0,0,0,2,0,0,2,2,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,2,1,0,0,0,0,0,1,1,1,0,0,2,0,1,0,1,1,0,1,1,1,0,0,0,1,2,0,1,0,0,1,0,1,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,1,0,1,0,1,0,0,1,2,1,1,0,1,0,1,2,1,0,0,0,0,0,0,1,0,0,0,1,2,0,1,0,0,0,2,1,0,1,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0,2,0,0,2,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,2,1,1,2,0,1,1,0,1,1,0,1,1,0,1,2,0,0,2,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0,2,1,0,0,1,0,1,0,0,0,0,0,0,2,1,0,1,0,0,1,1,0,0,2,0,1,2,1,0,0,1,0,2,0,0,1,0,0,1,0,1,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,2,1,0,1,1,0,0,1,2,1,0,1,0,2,1,0,0,1,1,0,1,1,0,0,2,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1,1,0,2,0,0,1,0,1,1,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0,2,1,2,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,1,1,0,2,0,1,0,1,1,0,1,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,2,2,1,0,0,2,0,1,0,1,0,0,1,1,0,0,1,1,0,2,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,2,1,0,0,2,1,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,1,1,0,0,1,2,0,0,1,1,0,2,2,0,1,0,1,0,1,0,0,0,1,0,1,0,0,1,2,1,0,0,0,1,0,0,0,0,1,1,0,0,2,0,2,1,1,1,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,1,0,2,0,2,1,0,2,1,0,0,0,0,0,0,1,1,0,2,0,1,1,1,0,0,0,0,0,0,2,1,1,0,1,1,0,0,1,1,1,0,0,1,1,2,0,1,0,1,2,0,0,2,0,0,1,2,1,1,1,0,1,1,0,0,1,0,0,0,2,0,2,0,1,0,0,0,0,1,0,0,1,1,0,1,2,1,0,0,0,0,0,0,1,1,0,2,1,2,1,1,0,2,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,2,1,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,2,2,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,2,0,1,0,1,0,1,2,1,1,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1 1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,2,1,1,2,0,0,1,0,1,0,1,0,0,0,0,0,1,2,0,1,1,2,0,1,1,0,1,0,1,0,0,0,1,0,0,1,2,0,0,1,0,1,0,1,1,1,1,0,2,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,2,0,1,0,1,0,0,0,2,0,1,0,1,1,1,0,2,1,1,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,1,2,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,1,1,1,2,0,0,1,0,0,2,0,0,0,0,2,1,0,0,0,0,0,0,0,0,2,2,2,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0,2,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,0,0,0,2,0,0,0,1,0,2,0,0,1,0,0,2,0,1,0,1,0,1,0,0,0,2,0,0,0,1,1,1,1,2,0,0,0,1,0,1,0,0,0,1,1,1,1,0,1,2,0,1,0,1,2,1,0,1,0,0,2,0,0,0,1,2,1,2,0,0,0,2,0,0,0,0,2,0,1,1,0,0,0,0,1,0,0,0,1,1,1,1,1,2,1,0,0,1,0,0,0,1,0,1,1,2,0,0,0,1,0,2,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,1,1,0,0,1,0,2,0,0,1,0,1,0,0,1,1,0,2,0,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,2,1,1,0,0,0,0,0,0,1,1,0,2,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,2,2,0,1,0,0,0,0,1,1,1,0,1,1,0,0,0,0,0,2,1,1,1,1,1,1,0,1,2,0,0,1,0,1,2,0,0,1,0,1,2,1,0,1,0,2,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0,2,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,2,2,0,0,2,1,1,0,0,1,1,1,2,0,1,1,1,0,2,0,0,1,0,2,0,0,0,1,0,0,1,1,0,0,0,0,0,1,1,1,1,0,2,0,2,2,0,0,0,1,0,1,0,2,0,1,0,0,1,0,0,1,1,1,1,1,0,0,2,0,1,0,1,0,2,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,1,0,0,2,0,1,0,0,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0,2,0,0,1,0,0,2,0,0,1,2,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,2,1,1,0,1,0,2,0,0,1,1,0,0,1,1,2,1,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,2,0,1,0,0,0,0,1,0,1,0,0,0,0,0,2,0,0,0,2,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,2,1,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0,2,1,1,2,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1 1,0,1,0,1,0,0,0,1,0,1,1,1,0,2,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,1,0,1,2,0,0,0,0,0,1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,2,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,2,0,0,0,2,0,1,2,1,1,0,0,0,0,0,2,0,0,0,0,0,2,0,1,2,1,0,2,2,0,0,0,0,0,1,1,1,0,0,1,0,1,1,0,1,0,1,1,1,0,1,2,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,2,0,0,2,0,1,0,2,1,1,1,0,0,0,0,0,1,2,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,1,2,0,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,2,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,2,2,1,0,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0,2,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,2,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,2,0,1,0,1,0,0,0,0,0,1,1,2,1,2,0,0,1,2,0,1,1,0,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,2,0,1,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,1,0,1,1,0,1,1,1,0,0,2,0,1,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,2,1,0,0,0,0,0,0,0,1,2,0,1,0,0,0,1,0,0,1,2,1,1,1,1,0,1,0,0,1,0,1,0,2,0,0,0,0,0,0,0,1,2,1,0,0,1,0,0,1,2,1,0,0,0,1,2,0,0,0,1,1,0,1,1,1,1,1,2,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,1,2,0,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,1,1,0,1,0,2,0,0,1,1,1,0,1,0,1,2,0,1,0,0,1,0,0,1,0,2,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,1,2,1,1,1,2,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,1,0,1,2,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,2,1,1,0,1,0,0,2,1,0,1,0,0,0,0,0,1,2,1,0,0,0,2,2,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,1,0,0,0,0,1,2,1,1,0,1,1,1,0,0,1,0,0,1,0,2,2,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,1,1,0,0,0,0,1,2,2,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,2,0,1,0,0,1,1,0,0,0,2,1,0,1,0,0,0,0,1,1,2,1,0,0,0,1,1,2,0,1,0,1,1,0,0,1,0,0,1,0,2,0,0,1,0,0,0,0,0,0,1,0,2,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,2,1,2,0,0,1,0,0,1,0,0,2,1,1,0,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,2,0,0,1,0,0,1 0,0,1,0,1,0,0,2,0,2,0,1,0,0,0,0,0,0,0,0,1,0,1,1,1,0,2,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,0,1,1,2,1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,2,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,2,0,0,0,1,0,0,0,1,1,0,0,1,0,2,0,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,2,2,0,1,0,1,0,1,1,0,0,1,0,2,2,0,0,0,1,0,0,2,1,0,0,0,1,0,1,0,1,0,1,1,2,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,2,0,2,2,0,1,1,2,0,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,2,1,2,1,2,0,0,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,2,1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,2,0,0,0,1,0,0,1,0,0,0,1,1,2,1,1,1,0,0,0,0,2,0,0,2,1,0,0,2,0,0,0,0,0,1,1,0,0,1,0,0,2,0,0,0,0,2,0,0,0,0,0,1,0,1,1,1,0,0,1,1,1,0,0,1,2,1,0,0,0,1,0,1,0,0,1,1,1,0,2,0,1,0,0,0,0,0,0,0,0,2,0,1,2,0,1,0,0,1,0,0,1,0,0,0,0,1,2,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,2,1,0,0,0,0,0,1,0,0,0,1,2,0,1,1,0,0,0,0,0,2,1,0,2,0,0,0,0,0,0,1,1,1,0,0,0,0,2,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,2,1,1,0,1,0,0,2,0,0,0,0,0,1,1,0,1,0,2,1,2,0,2,1,1,0,0,2,1,1,0,0,2,0,0,1,0,1,0,0,0,0,2,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,2,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,2,2,0,1,1,0,0,2,1,2,0,0,0,0,1,0,1,0,1,1,1,0,0,1,2,1,2,1,0,0,0,1,2,1,1,0,0,0,2,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,2,0,0,0,1,0,1,1,1,1,0,0,0,1,1,0,1,2,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,1,1,2,1,1,2,0,0,0,1,1,0,1,1,2,0,0,0,0,0,0,0,0,2,0,0,1,1,1,0,0,0,1,0,0,2,2,1,0,0,0,0,0,0,1,1,0,0,0,2,0,0,1,0,1,0,1,0,2,2,1,0,0,1,0,0,0,2,1,2,1,0,0,1,1,1,0,0,1,0,1,0,0,2,1,0,1,0,0,0,0,0,1,0,1,0,0,1,0,1,1,2,0,0,0,0,2,1,0,2,0,2,0,0,0,0,1,0,0,0,0,1,2,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,1,0,2,0,2,0,0,1,0,0,2,2,0,0,0,2,1,2,2,1,0,0,1,0,1,1,1,1,0,0,1,0,1,1,0,2,2,0,0,1 2,0,1,1,1,1,0,1,2,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,2,2,0,2,0,1,2,0,2,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0,0,0,1,1,0,2,0,1,1,0,0,0,0,1,0,1,2,0,0,2,0,2,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,2,1,0,0,0,0,1,1,2,0,1,0,0,1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,1,2,1,0,1,1,0,0,0,1,1,1,2,1,1,1,0,0,0,0,1,1,1,0,0,2,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,1,2,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,2,1,0,0,1,1,0,0,2,0,0,1,0,1,1,1,0,1,2,0,0,0,1,2,0,0,1,1,1,0,0,0,0,0,0,1,2,1,0,0,1,1,0,0,2,1,0,0,1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,2,0,1,0,0,2,0,0,1,0,0,1,1,0,0,2,0,0,0,0,1,0,0,0,0,2,0,1,0,1,0,1,2,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,1,2,2,1,1,0,0,0,2,0,0,1,1,1,0,0,1,0,1,2,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,2,0,1,1,0,0,0,1,1,1,1,0,0,0,0,0,1,2,0,2,0,1,0,0,0,0,0,1,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,1,0,0,0,1,2,1,1,0,1,1,0,1,1,1,0,0,0,0,0,2,1,0,1,0,0,1,1,0,2,0,1,0,0,0,2,0,0,1,2,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,2,0,0,0,0,0,0,1,1,1,0,1,0,2,1,0,0,1,1,0,1,1,1,0,0,2,1,0,0,1,0,0,2,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,2,0,2,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,2,1,0,0,1,0,2,0,0,0,0,0,0,1,0,0,2,1,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,2,0,0,0,0,2,0,0,1,1,1,1,0,0,0,0,1,2,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0,2,1,0,1,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,1,0,1,1,1,2,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,1,0,1,0,0,2,0,1,1,1,2,1,0,1,0,1,1,0,1,0,1,0,2,2,0,0,0,1,1,0,0,0,1,1,1,0,0,1,1,1,0,0,0,2,0,1,1,0,0,0,0,1,0,1,2,0,1,1,0,0,1,1,0,2,0,2,0,0,0,0,0,1,0,2,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,2,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,2,1,1,0,0,0,0,2,0,0,0,2,1,0,0,0,0,0,1,0,0,1 0,0,2,1,0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0,1,1,1,1,0,2,2,0,0,0,0,0,1,1,0,0,0,2,1,1,2,0,0,1,0,0,1,0,1,0,0,0,2,1,1,1,0,0,0,0,1,0,0,2,0,0,1,0,2,2,0,0,1,2,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,2,2,0,1,1,1,1,1,0,0,1,0,2,1,1,2,2,1,1,0,0,0,0,2,0,2,0,1,0,0,1,0,0,1,0,0,0,2,0,0,1,0,1,1,0,0,0,1,0,0,0,2,1,0,0,0,0,1,0,0,2,0,1,2,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,2,2,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,1,1,2,0,2,0,2,0,2,1,2,0,0,0,0,0,0,0,0,2,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,1,2,1,0,0,0,2,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,1,1,1,1,1,2,0,0,2,0,0,2,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0,2,1,0,0,0,0,0,1,0,1,0,0,0,1,1,1,1,2,0,1,0,1,1,0,1,2,1,1,1,2,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,1,1,1,1,1,0,0,1,0,0,1,1,0,2,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,2,2,0,2,0,1,2,0,0,0,0,0,2,1,0,1,2,1,0,1,0,1,0,0,2,0,0,2,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,2,2,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,2,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,2,0,0,1,0,0,0,1,1,0,0,0,0,2,0,1,1,2,0,1,0,0,0,0,2,1,1,2,2,0,1,0,0,2,1,0,1,1,2,2,0,1,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,1,2,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,1,2,0,0,1,0,1,0,0,0,1,0,2,0,0,0,0,0,2,0,2,0,0,0,0,0,0,1,1,2,0,2,0,0,1,1,1,1,1,1,1,1,0,2,0,1,0,2,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,1,0,0,0,1,1,0,1,2,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,2,1,0,1,0,0,0,2,0,0,0,0,1,1,0,0,1,2,0,0,0,1,0,0,0,1,0,0,2,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,1,1,2,0,0,0,0,0,0,2,0,0,2,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0,1,1,0,2,1,0,0,0,0,0,1,1,0,2,2,1,0,0,2,1,0,1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,2,0,1,1,1,1,0,0,1,1,0,0,1,1,1,2,0,1,0,1,0,0,2,0,0,0,0,2,1,0,2,1,2,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,2,0,2,0,0,0,0,1,1,2,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1 0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,2,1,2,2,0,0,1,0,1,1,1,0,0,0,1,0,1,1,1,2,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,1,0,1,2,1,1,2,0,0,0,0,0,1,0,1,1,2,0,2,0,1,2,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,1,0,2,1,0,0,1,0,0,0,1,0,1,0,1,0,2,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,1,0,1,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,1,2,0,0,1,0,2,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,2,0,1,0,0,1,0,1,0,2,1,0,0,0,0,1,1,1,0,0,0,2,1,1,1,2,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,2,1,0,0,0,0,1,1,1,0,1,0,1,2,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,2,0,0,0,0,2,0,0,1,1,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,2,0,1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,1,2,0,1,2,0,0,1,0,1,1,2,1,0,0,1,1,2,0,0,1,0,1,0,0,0,1,0,0,0,0,2,0,0,0,0,2,1,0,0,0,0,1,1,1,0,0,1,0,0,0,0,1,1,1,2,2,0,1,0,0,1,0,0,0,0,1,1,1,0,1,2,0,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,1,0,1,0,0,1,2,0,1,2,0,1,1,0,0,2,0,0,0,1,1,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,2,0,0,1,0,0,1,0,0,0,1,2,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0,0,2,1,0,0,2,1,1,0,0,0,1,0,1,0,1,1,1,1,2,1,2,0,0,0,0,1,1,1,0,0,1,1,0,0,2,1,0,0,0,0,1,2,0,1,0,0,0,1,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,1,1,0,1,1,0,1,2,0,0,1,2,0,2,1,1,0,0,0,1,1,0,0,0,1,1,2,1,0,0,1,0,1,1,0,1,2,1,0,0,0,0,1,0,1,0,0,2,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,2,0,1,0,0,2,2,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,2,1,2,0,0,1,0,2,0,2,1,2,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0,2,1,0,1,1,0,0,0,1,0,0,1,1,1,2,1,0,0,1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,2,0,0,0,0,2,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,2,0,0,0,0,1,1,1,0,2,1,0,1,0,0,0,0,0,1,1,0,1,0,0,2,0,0,2,1,0,1,0,1,0,2,2,2,2,0,0,0,2,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1 0,1,1,1,0,0,0,0,0,1,0,1,0,2,1,1,0,1,2,1,0,0,1,1,2,1,1,1,0,0,1,0,1,0,0,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1,2,2,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0,2,1,0,1,2,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,1,1,0,0,0,1,2,0,2,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,0,2,0,1,1,0,0,0,0,2,0,0,1,0,1,1,0,1,1,0,1,0,0,0,2,0,2,0,1,0,0,1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,2,1,1,0,2,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,1,1,0,2,0,0,2,2,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,2,1,0,0,1,1,2,1,1,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0,1,1,1,2,2,0,0,0,1,0,2,1,1,0,0,1,1,0,1,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,2,1,1,0,1,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,2,0,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,0,0,2,1,0,1,1,2,2,0,2,0,1,1,0,0,1,1,1,1,2,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,2,0,1,0,0,2,2,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,1,1,2,1,1,1,0,0,0,1,1,2,1,1,2,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,2,0,0,1,0,0,1,0,0,1,1,2,1,2,0,2,1,0,2,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1,1,0,1,0,1,0,0,1,1,0,0,2,0,0,1,0,1,1,0,0,0,1,0,2,0,1,1,0,1,0,1,1,0,0,0,1,0,2,1,0,1,1,0,2,0,0,0,1,0,1,0,0,0,2,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,2,0,0,2,2,0,0,0,0,1,1,1,1,1,1,0,0,1,0,1,0,2,0,0,1,0,0,1,2,0,2,0,1,0,0,0,0,0,1,1,1,0,2,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,1,1,1,2,0,0,0,1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,2,0,1,1,1,1,2,0,2,0,1,1,1,1,0,0,1,1,1,0,2,1,0,0,1,0,0,0,0,1,1,0,1,2,2,2,0,0,1,1,0,0,1,1,0,0,0,0,0,0,1,0,2,0,0,1,0,0,1,1,0,0,0,1,0,1,0,1,2,1,0,1,1,2,0,0,1,1,0,1,1,0,2,1,1,0,0,0,1,0,0,0,0,1,1,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,2,0,0,0,0,1,0,0,1,1,0,0,0,2,0,0,2,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,1,0,1,1,1,0,1,2,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,1,0,2,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1 1,0,1,2,1,0,0,0,1,2,2,0,0,0,1,1,1,0,0,0,0,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,1,0,2,0,2,1,1,0,0,0,0,2,0,1,2,0,1,1,2,0,2,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,2,0,0,1,0,0,0,0,1,1,1,1,1,0,1,1,1,2,0,0,2,0,1,0,0,0,1,1,0,2,1,2,0,0,0,1,1,1,0,1,0,1,0,1,1,1,1,0,1,1,0,2,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,1,1,0,2,2,0,1,0,1,0,0,0,1,1,0,2,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,2,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,2,0,2,0,0,2,0,0,1,0,1,1,0,0,2,0,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,2,2,0,0,2,1,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,2,2,0,0,0,1,2,1,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1,0,2,0,0,1,1,0,1,1,0,0,0,1,0,2,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,0,1,1,2,1,2,0,0,0,1,0,1,0,0,2,1,0,0,1,0,1,0,1,0,2,1,0,1,2,0,0,1,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,0,1,1,0,0,2,0,1,0,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,2,1,1,0,0,0,2,0,2,1,1,0,0,0,0,1,0,1,1,1,2,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,2,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,1,2,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,0,2,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,2,0,0,0,0,0,0,0,2,1,1,2,1,1,1,1,0,0,2,0,1,0,0,0,0,0,1,0,1,1,1,2,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,2,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,2,0,1,2,0,0,0,0,0,0,1,0,1,1,1,0,2,1,1,1,1,0,0,2,0,0,0,2,0,1,0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,1,0,0,0,2,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,1,0,0,2,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,1,2,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,2,0,0,0,0,2,0,0,1,0,1,2,0,0,0,0,1,0,2,0,0,0,0,2,0,1,1,0,0,0,1,0,1,1,0,0,2,0,0,0,0,0,0,1,1,2,0,1,0,1,1,1,0,0,1,0,0,0,2,1,2,0,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,2,1,2,1,0,0,0,2,0,0,0,1,0,0,0,2,0,0,1,0,1,0,0,1,1,0,2,0,0,1,2,1,0,0,0,1,0,0,0,0,1,0,1,2,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,2,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,1,2,0,0,1,1 1,0,0,0,1,1,0,0,0,2,2,1,0,1,1,0,1,2,1,0,0,0,1,2,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,2,1,1,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,2,0,0,2,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,2,2,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,1,0,1,2,1,1,1,1,0,0,0,0,1,2,1,1,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,1,2,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,2,0,1,0,1,0,1,1,0,0,1,0,2,1,0,0,0,0,1,0,0,2,0,1,0,1,0,0,0,1,0,2,1,1,0,0,1,0,0,0,1,0,0,2,1,0,0,1,1,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0,2,1,1,1,1,0,0,0,0,2,2,0,0,0,0,1,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,2,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,2,2,0,0,1,0,0,0,0,1,2,0,1,2,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,2,0,0,1,0,0,0,0,0,0,1,0,1,0,1,1,1,1,1,1,1,0,1,0,2,1,0,1,2,0,1,0,1,1,1,1,1,1,0,1,1,1,1,1,0,2,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,2,1,1,0,0,0,0,0,1,0,0,0,0,0,2,0,2,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,2,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,2,0,2,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,2,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,2,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0,1,1,2,0,0,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,2,0,1,0,1,0,1,0,1,1,0,0,2,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,1,0,1,1,0,0,2,0,2,1,1,1,1,1,1,0,2,1,1,0,0,0,1,1,1,1,1,1,1,0,0,1,1,0,0,2,0,1,0,1,0,0,0,2,0,0,0,1,0,0,1,1,1,0,0,1,2,0,0,0,0,0,0,0,1,0,1,2,1,0,0,0,1,0,1,0,0,1,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,2,2,0,1,0,1,0,0,0,0,0,0,1,0,2,0,1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,1,0,0,0,1,1,1,0,0,1,0,1,2,1,1,0,0,0,1,1,1,1,2,1,0,1,0,0,0,0,0,1,2,0,0,2,1,2,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,2,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,2,0,0,1,0,2,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,0,1,1,2,0,2,0,0,1,0,2,2,0,0,1,1,0,0,1,0,1,1,0,0,1 1,0,1,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,1,2,0,0,1,0,2,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,2,0,1,0,1,1,0,0,0,0,0,1,2,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,1,1,0,2,1,0,0,1,0,0,2,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,1,0,1,1,2,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,2,0,1,0,0,1,1,0,1,2,1,1,0,0,0,1,1,0,1,2,1,0,0,1,0,1,1,0,1,0,2,1,1,1,0,2,1,0,0,0,0,0,2,2,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,0,2,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0,0,2,1,0,0,0,1,2,1,1,1,2,0,0,1,0,0,2,0,1,0,2,0,0,0,0,0,0,1,2,2,1,0,0,1,0,0,0,0,0,2,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,2,2,0,0,1,0,0,1,0,1,2,1,0,0,0,0,0,0,0,0,2,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,2,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0,0,2,2,1,1,0,0,0,0,0,0,2,0,0,0,2,2,0,0,1,1,1,1,1,0,0,0,2,0,1,1,1,0,1,0,2,1,0,0,2,0,1,2,2,0,0,0,1,1,1,1,0,0,0,1,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,1,2,1,0,0,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,2,0,0,1,0,0,0,1,2,1,1,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,2,0,2,0,0,2,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,2,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,2,0,0,0,0,1,0,0,2,1,0,0,0,0,1,0,2,1,1,1,2,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0,2,1,1,0,0,1,0,1,1,0,0,2,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,2,1,0,0,1,1,2,0,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0,1,1,1,2,2,1,1,1,0,1,0,0,0,0,0,1,1,1,2,1,0,1,0,0,1,1,0,0,0,0,1,0,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,2,0,1,1,2,1,0,0,0,2,0,1,0,0,0,0,1,0,1,1,0,1,0,1,1,2,1,1,1,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,2,1,0,0,1,2,1,0,0,2,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,1,1,0,2,0,0,2,0,0,2,0,0,2,0,0,1,0,2,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1 0,0,0,1,1,1,0,1,2,0,1,0,1,2,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0,0,2,0,0,0,2,1,0,0,0,1,0,1,2,1,0,1,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0,2,0,2,1,0,1,0,2,0,0,0,0,1,0,0,0,0,1,0,2,0,1,0,0,2,1,1,0,0,0,1,0,0,0,0,0,1,1,2,1,1,0,0,0,2,1,1,0,0,0,1,1,0,2,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,2,0,1,2,0,1,0,0,0,1,2,0,1,1,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,2,1,0,0,1,0,0,1,1,1,1,0,1,0,1,2,0,0,0,2,0,0,0,0,0,2,2,1,1,0,0,1,1,0,0,0,1,0,1,0,2,0,0,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0,2,0,1,0,0,0,1,2,0,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,1,2,0,1,1,1,0,1,1,0,0,0,0,2,0,0,0,0,2,2,1,0,1,1,0,0,2,0,1,0,0,0,1,2,2,0,0,0,1,0,1,1,1,1,2,0,0,1,0,0,0,0,0,2,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,2,2,1,0,1,1,0,2,0,0,0,2,2,0,0,0,0,1,2,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,2,2,0,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,0,1,2,1,1,1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,2,0,0,0,0,0,0,0,1,2,1,1,0,1,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,1,1,0,1,1,1,1,0,0,0,0,2,1,1,1,0,0,0,1,0,2,1,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,1,2,0,0,0,1,0,0,0,2,1,0,1,0,1,0,0,2,2,1,1,1,1,1,0,0,2,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,1,1,0,1,2,1,0,2,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,2,1,2,0,0,1,0,0,2,0,0,0,1,0,0,0,0,1,0,1,0,2,0,0,1,1,0,0,1,0,1,2,0,1,2,1,0,0,0,0,0,0,2,1,0,0,0,1,2,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,2,1,0,0,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0,1,2,2,1,2,0,0,0,0,0,1,0,0,1,0,2,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,2,1,0,0,2,1,0,1,1,0,0,1,1,0,0,0,0,0,0,2,0,1,1,2,0,0,0,1,0,1,0,1,0,1,0,1,2,0,1,0,1,1,0,1,0,0,2,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,1,2,0,0,2,1,1,2,0,0,1,0,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0,2,2,0,1,0,0,1,1,0,0,1,2,0,0,0,2,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,2,1,1,0,1,0,0,1,0,1,1,0,0,2,1,1,0,1,0,2,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1 2,0,1,0,0,0,0,0,0,0,1,1,0,2,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0,2,2,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0,2,0,0,0,0,1,1,0,1,2,1,0,1,0,0,0,1,2,0,1,0,0,1,0,1,2,2,0,1,1,0,0,0,2,0,0,1,1,1,0,0,0,1,1,0,1,1,1,0,0,1,1,1,1,0,1,1,1,0,2,1,0,0,0,0,0,1,0,1,0,1,1,0,0,2,1,0,0,0,0,2,0,2,0,0,2,1,1,1,1,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,2,0,1,1,0,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,1,2,0,1,1,0,1,1,1,1,0,0,2,1,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,1,2,1,1,0,0,0,0,1,1,1,0,0,0,0,2,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,2,1,0,1,0,1,0,0,2,1,0,0,1,1,0,1,0,0,0,1,0,0,2,0,0,1,2,2,2,2,0,1,0,1,1,2,1,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0,1,0,2,0,0,1,1,0,1,0,1,1,1,0,0,2,0,1,1,0,0,0,0,1,0,2,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,0,2,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,2,2,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0,2,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,1,0,0,2,0,0,1,0,1,2,0,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,2,0,1,1,1,0,0,0,1,1,0,0,1,0,0,2,2,0,0,0,1,1,1,1,1,0,1,1,2,1,0,0,0,0,0,0,1,1,1,2,2,0,1,0,1,0,0,0,0,1,0,2,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,1,1,0,1,2,0,0,1,1,0,0,1,0,0,0,1,0,1,1,2,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0,1,1,2,1,1,0,0,0,0,1,2,1,0,0,2,0,0,0,1,0,2,0,0,1,2,0,0,0,1,2,0,0,0,2,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,1,2,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,1,1,1,1,1,0,1,2,0,1,1,0,2,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,2,1,0,0,1,0,0,1,2,1,1,2,0,1,2,0,0,1,0,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,1,0,2,0,1,1,1,0,2,1,0,0,0,1,1,0,1,2,0,0,0,0,0,1,1,0,2,0,1,1,0,1,0,1,1,1,2,0,0,2,0,1,0,0,0,0,0,1,0,0,2,0,2,1,0,1,0,0,1,0,0,0,0,1,1,0,2,0,0,2,2,0,0,1,1,0,2,0,0,1,0,1,1,1,0,0,2,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,2,0,0,1,1,0,1,0,0,2,0,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1 0,0,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,2,1,0,2,1,2,0,0,0,1,1,1,1,0,2,1,1,2,1,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,2,1,1,2,1,1,1,1,2,1,1,1,1,0,0,0,0,1,1,0,1,1,0,2,1,1,2,0,0,0,0,1,0,2,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,2,0,1,1,0,0,1,1,2,1,1,1,2,0,1,1,0,2,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,2,1,1,2,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,2,2,0,1,1,0,0,2,0,2,1,2,1,1,1,0,0,1,0,0,0,0,1,0,1,2,0,2,0,1,1,1,1,0,0,0,0,0,2,0,1,0,0,1,1,1,2,0,1,1,0,0,1,0,0,2,1,0,1,0,0,2,0,0,1,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0,2,0,1,1,0,0,0,1,0,2,0,0,0,0,1,1,1,2,0,1,0,1,0,0,0,1,0,1,1,0,2,1,1,1,0,2,0,0,2,0,0,0,1,1,1,0,0,0,1,1,2,0,1,1,0,0,0,0,0,0,0,1,1,1,0,1,0,2,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,2,0,0,0,1,1,2,2,1,1,0,1,1,2,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,2,1,0,1,1,0,1,1,0,2,0,0,0,2,1,0,2,1,0,0,0,0,1,1,1,2,0,1,1,1,1,0,0,0,1,2,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,1,2,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,2,0,2,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0,1,0,1,1,2,1,0,1,0,1,0,0,2,1,0,1,0,0,2,0,2,1,1,0,0,2,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,2,0,1,0,0,2,1,0,1,0,0,0,0,0,2,0,1,0,1,0,1,2,1,0,0,1,0,0,2,0,0,1,1,0,0,1,0,1,2,0,0,0,0,1,0,2,2,1,0,2,0,0,0,0,0,1,0,0,0,1,1,2,1,0,2,2,0,0,1,2,1,0,1,0,0,1,1,0,0,1,0,2,0,0,2,2,0,0,1,1,1,0,1,0,1,0,0,2,0,0,0,1,0,2,1,0,0,1,0,0,0,1,1,0,0,0,2,0,0,1,1,1,1,0,2,0,0,0,2,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,1,0,2,0,0,1,2,2,0,0,1,0,1,2,1,0,0,2,0,0,1,0,2,2,0,0,1,0,1,0,0,2,1,1,1,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0,1,0,2,2,0,1,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,1,0,0,1,2,1,0,2,1,0,0,0,1,0,0,1,0,1,0,1,1,2,1,0,0,0,0,0,0,1,1,1,1,0,2,0,1,0,2,2,0,0,1,2,0,0,0,0,1,0,0,1,0,1,1,0,1,1,0,2,0,0,1,0,0,2,0,1,1,0,0,1,0,0,0,2,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,2,0,1,0,1,0,2,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,1,1,0,1 0,0,2,1,1,1,0,0,1,1,1,1,0,2,1,1,0,2,1,0,0,0,2,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,2,0,0,0,1,0,0,2,0,1,0,1,1,1,1,0,2,0,0,1,1,0,2,0,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,2,0,0,0,1,1,0,0,1,0,0,1,1,1,0,1,1,1,0,0,1,2,1,1,0,0,0,1,0,0,2,1,1,1,0,1,0,0,1,0,1,0,1,0,0,2,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,2,0,1,1,0,2,1,0,0,0,0,1,0,0,1,1,1,2,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,2,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,1,0,2,1,0,1,0,2,0,1,0,0,0,0,1,1,0,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,2,1,0,0,0,1,1,2,1,0,1,0,0,0,1,2,2,0,0,0,0,0,0,0,0,0,1,0,2,1,1,1,1,0,0,1,1,0,0,0,1,2,1,1,0,1,0,0,0,0,1,1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,2,0,1,1,0,1,0,0,0,1,2,2,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,1,2,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,2,0,2,0,1,0,0,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,2,0,1,1,0,0,1,1,0,1,1,1,0,2,0,0,0,1,0,0,1,0,0,1,0,1,0,1,0,0,2,1,0,1,0,0,0,1,2,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,1,2,0,0,1,1,0,0,1,1,2,1,0,0,0,2,1,0,2,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,1,1,1,1,0,2,1,2,0,0,1,0,0,2,0,0,0,0,0,2,0,2,1,1,2,0,1,1,0,0,1,0,0,0,0,1,1,1,1,0,0,2,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,1,0,0,2,0,0,2,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,1,0,1,0,0,1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,2,0,1,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,2,0,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,1,2,0,0,1,0,2,1,0,0,2,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0,2,2,0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0,1,0,1,2,2,0,0,0,2,0,0,0,0,0,0,0,2,2,0,2,0,0,0,0,0,1,0,0,0,0,1,2,0,1,1,0,0,0,0,0,1,0,0,0,0,2,0,1,0,2,1,0,0,2,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0,0,2,1,0,0,0,1,1,0,0,0,0,0,0,2,0,0,1,0,2,0,0,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,2,0,0,1,1,0,1 0,0,1,1,0,0,1,1,1,0,1,1,0,2,2,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,2,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,1,1,0,2,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,2,2,1,0,1,0,1,0,1,0,0,1,0,2,2,1,0,1,0,1,2,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,1,2,1,0,0,0,1,0,0,0,0,1,0,1,0,1,1,2,2,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,1,1,0,2,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,2,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,2,0,1,0,0,2,0,0,1,2,0,0,0,0,0,0,1,0,1,0,1,0,1,2,0,0,0,2,0,1,1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,2,0,1,0,0,1,0,1,1,0,0,0,2,0,0,1,0,0,0,2,1,2,0,0,1,0,1,1,1,0,0,0,0,0,1,0,0,2,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,2,2,0,0,1,0,1,0,0,1,1,1,1,1,0,0,0,1,1,0,0,1,1,1,0,2,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,2,1,0,0,1,1,1,0,1,0,1,1,0,0,0,2,0,0,0,0,0,1,1,1,0,0,0,1,0,2,1,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,2,2,1,0,1,0,1,0,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,2,1,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,1,2,0,0,0,0,0,0,0,1,1,0,0,2,1,0,0,0,0,2,1,2,0,0,1,1,0,0,0,0,1,0,0,2,0,1,0,0,0,0,0,0,1,2,0,0,1,0,1,0,0,0,1,1,0,2,1,1,0,0,1,1,1,2,1,1,1,0,0,1,0,0,0,2,2,0,1,1,0,1,1,0,1,0,2,0,1,0,1,1,0,0,2,1,0,1,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,2,0,0,0,1,1,0,0,1,2,1,0,0,0,0,2,0,0,0,1,0,0,1,1,2,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,2,1,0,2,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,2,0,0,1,1,2,0,0,1,0,2,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,2,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,2,0,1,1,0,1,1,0,0,1,1,0,0,2,0,1,0,0,0,2,0,1,2,1,2,2,2,1,0,0,1,1,0,0,0,2,0,0,1,1,0,0,0,0,1,0,1,2,0,0,0,0,0,1,0,1,0,0,1,0,2,0,1,1,1,1,0,0,1,0,0,0,1,1,1,1,1,0,0,0,1,2,0,0,0,0,1,2,0,0,1,0,0,2,0,0,0,1,0,1,0,0,0,1,1,1,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,2,1,0,1,0,0,0,1,2,1,0,0,0,1,1,0,1,1,2,1,0,1,0,0,1,1,0,0,0,1,1,0,1,2,2,0,0,0,0,1,1,1,1,1,2,0,1,2,0,0,0,1,0,0,0,2,1,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,1,2,1,2,1,0,0,0,0,1,2,1,0,1,1,1,1,1,2,2,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,2,0,1 1,0,0,1,2,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,2,1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,2,0,0,1,0,1,0,2,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,1,1,0,0,2,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,1,1,2,0,1,0,0,0,0,0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,2,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,2,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,0,0,2,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,0,0,2,1,2,1,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0,0,2,0,0,1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,1,1,1,0,0,1,0,2,0,0,1,2,1,0,1,1,0,0,0,0,0,2,0,2,0,0,0,1,1,0,0,1,1,0,1,0,2,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,1,1,1,0,1,1,0,0,1,1,1,2,0,0,2,1,2,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,1,1,1,2,1,2,1,0,0,0,0,1,1,0,0,0,1,0,2,2,0,1,0,0,1,1,0,0,0,0,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,1,1,1,2,0,0,0,0,0,0,2,1,0,0,1,0,1,0,0,2,0,0,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,2,1,0,0,1,0,0,2,0,0,0,2,1,1,1,1,0,1,1,2,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,1,2,0,0,0,0,2,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,1,1,0,1,0,1,0,2,0,0,1,1,0,1,1,0,0,1,0,0,0,1,1,2,1,0,0,1,0,2,0,1,1,1,0,2,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,2,0,0,2,1,0,0,0,0,1,0,0,1,1,2,0,1,2,0,0,2,0,1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,2,0,1,1,0,1,0,1,0,0,1,0,0,1,1,1,2,2,0,1,2,2,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,2,1,1,0,1,2,1,1,0,0,1,0,0,1,1,0,2,1,1,0,0,1,0,0,0,0,0,0,0,0,2,0,1,1,2,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,2,0,2,0,1,1,0,0,0,2,0,0,0,1,0,0,1,1,0,1,0,1,0,2,2,2,1,0,0,0,0,0,0,1,0,0,1,0,2,1,0,1,2,0,1,0,0,1,0,1,0,2,0,0,0,2,0,0,2,0,1,0,1,0,0,0,2,0,1,0,0,0,0,1,2,0,1,0,0,0,0,1,2,0,2,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,2,1,0,1,0,1,0,2,0,1,0,0,0,0,2,0,0,2,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,1,0,0,2,0,0,1,1,0,0,1,0,0,0,0,2,0,1,1,1,1,0,0,0,0,2,1,0,1,1,1,0,1,2,1,2,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1 1,0,1,1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,1,1,1,2,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,2,0,0,0,2,0,1,1,1,2,0,0,0,2,0,0,2,1,0,0,1,0,2,0,1,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,2,0,1,0,0,0,1,0,1,0,1,2,1,2,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,2,2,0,1,2,0,1,1,0,2,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,2,0,0,1,1,2,2,0,1,0,0,1,0,2,2,1,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,2,2,1,2,0,1,0,0,0,0,2,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,0,2,1,0,2,1,0,2,0,0,0,2,0,0,0,1,1,0,1,1,1,0,2,0,0,0,0,0,0,0,1,1,1,0,1,1,0,1,2,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0,1,0,2,1,0,1,1,0,1,1,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,2,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,2,0,0,1,0,0,1,1,0,1,0,0,0,2,0,0,2,1,2,1,0,0,0,0,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0,2,0,0,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,1,2,1,1,1,2,1,2,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,2,1,0,0,1,0,1,0,0,0,1,1,0,0,2,0,0,0,1,0,0,1,0,1,0,1,0,1,2,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,2,0,2,1,1,1,0,0,0,2,1,1,0,0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,1,1,0,1,1,0,1,0,1,1,0,2,1,1,0,2,0,0,0,0,0,1,0,1,1,0,1,2,0,0,0,1,0,0,0,0,2,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,1,2,1,0,0,0,0,1,0,1,1,0,0,1,0,2,0,2,1,1,1,2,0,0,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,2,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,2,0,0,0,2,0,0,1,0,1,1,0,0,2,0,0,1,1,0,2,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,1,1,2,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,2,2,2,1,0,1,1,1,0,0,0,0,2,0,1,1,1,2,2,0,1,2,2,1,0,0,0,2,1,0,0,0,0,1,0,0,1,2,0,0,0,0,0,0,1,2,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,2,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,2,1,0,0,1,1,0,1,0,0,0,1,0,1,2,0,0,2,0,0,0,0,0,2,2,0,1,0,0,0,0,0,1,1,0,0,0,1,1,1,0,1,2,1,0,0,2,1,0,0,1,0,0,0,0,0,0,1,1,0,1,1 1,0,1,1,0,1,1,2,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,1,0,0,0,1,0,2,0,0,0,1,1,0,0,0,1,1,0,2,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,2,0,1,2,0,1,1,1,0,1,0,0,1,2,1,0,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,1,1,1,1,0,2,0,0,1,1,1,0,1,1,2,0,0,0,2,1,1,0,0,1,0,1,0,1,0,2,0,0,1,0,0,0,0,1,0,2,0,0,1,1,1,2,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,1,1,0,2,0,0,0,1,0,0,1,0,0,2,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,2,1,2,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,2,0,0,1,0,0,0,2,1,0,0,1,1,1,1,0,1,0,0,2,0,1,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,2,1,1,2,1,1,0,2,0,0,2,0,2,0,1,1,0,2,0,0,2,0,1,1,0,0,0,2,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0,2,1,1,0,2,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,1,2,1,1,0,0,0,2,1,0,1,0,2,0,1,0,0,0,1,0,2,0,1,0,1,0,2,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,2,1,1,1,0,0,1,1,0,2,0,0,0,1,0,1,0,1,0,0,0,1,0,0,1,1,0,2,0,1,0,0,0,0,1,0,0,0,2,1,1,1,0,2,1,1,0,1,0,0,0,2,0,1,0,0,1,1,0,1,1,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,2,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,2,2,0,2,0,1,0,1,2,0,1,1,1,2,0,1,0,0,0,0,1,0,0,1,1,1,1,0,1,1,0,1,0,1,1,1,1,2,0,2,1,0,0,0,2,1,0,0,0,1,0,1,1,0,0,2,2,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,2,0,0,0,2,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,1,0,0,0,1,1,0,2,1,1,0,0,0,1,0,1,1,1,0,2,1,0,1,2,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,2,0,0,0,2,1,1,0,1,1,2,0,2,0,0,1,0,0,1,1,2,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,2,0,0,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,2,1,1,0,2,1,0,0,0,0,2,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0,1,2,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,2,2,1,0,1,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,2,1,0,1,0,0,0,0,1,0,0,2,0,0,0,0,1,1,2,1,0,0,0,0,1,0,0,2,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,2,0,0,1,0,1,1,0,0,1,1,0,2,1,0,0,1,1,2,2,1,0,0,2,0,1,1,1,0,2,1,0,1,0,0,2,1,0,1 1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,2,0,1,0,0,0,1,2,0,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,1,1,1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,2,1,2,1,1,0,1,1,0,0,0,1,0,1,0,1,1,1,0,1,1,0,1,1,0,2,0,0,1,0,0,0,0,1,1,1,1,0,0,0,2,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,2,1,0,2,0,0,0,0,1,0,1,0,0,2,1,0,1,0,2,0,0,1,0,0,1,1,0,1,0,0,0,2,1,0,0,1,1,0,0,2,0,0,1,1,0,0,1,0,1,0,2,0,1,1,0,0,1,0,0,0,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,2,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,2,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1,0,2,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,2,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,2,1,1,0,0,0,2,0,2,0,1,0,0,1,0,0,1,0,2,0,0,1,0,1,1,1,0,2,2,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,2,1,0,2,0,0,0,0,0,1,1,0,2,1,1,0,1,0,0,2,1,2,0,2,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,1,1,0,1,1,0,0,1,2,0,0,1,0,0,0,2,0,0,0,1,2,1,1,0,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,2,1,0,0,1,0,0,0,2,1,0,0,0,0,0,1,1,1,2,1,0,1,1,1,0,0,1,1,0,1,0,0,1,1,0,2,1,2,0,1,2,1,1,0,0,1,1,0,1,2,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,2,0,0,0,1,1,0,1,1,1,0,0,1,1,2,0,0,2,0,0,2,0,1,1,1,0,1,0,0,1,1,2,0,1,0,0,0,0,1,1,1,1,0,2,0,0,0,1,1,1,1,1,2,1,0,1,0,1,0,0,2,0,1,0,1,1,1,1,0,1,2,1,2,0,0,0,2,2,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,2,2,1,2,0,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,2,0,0,1,2,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,2,1,1,0,1,0,1,0,0,2,1,0,2,1,1,0,0,1,2,0,0,0,1,1,1,0,1,2,0,0,0,0,0,1,0,1,0,0,0,0,0,1,2,1,1,1,0,0,0,0,0,0,0,0,2,0,0,2,0,1,1,1,0,2,1,1,1,1,0,0,0,0,1,1,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,2,0,0,1,0,0,0,0,1,2,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1 1,0,1,1,0,0,0,1,0,1,1,1,0,1,2,0,0,2,0,0,0,0,1,0,1,0,1,2,0,0,0,0,1,1,0,0,2,0,0,0,0,0,0,2,0,1,0,1,1,1,2,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,0,1,1,0,2,2,0,0,0,0,0,1,1,0,2,0,1,0,2,2,0,0,1,0,1,0,1,0,0,2,1,2,2,1,0,0,1,1,0,0,0,1,0,1,0,2,0,0,1,0,1,0,0,0,0,1,2,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,2,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,2,0,0,1,1,0,0,0,2,0,0,2,1,0,0,1,0,0,0,0,2,1,1,0,1,1,1,1,0,1,0,2,0,0,1,0,0,2,2,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0,0,2,0,0,0,0,1,1,0,0,0,2,2,0,0,1,0,1,1,1,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,2,0,1,0,0,2,0,0,2,0,1,2,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,1,2,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,2,1,1,0,1,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,2,0,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0,2,0,1,1,0,0,1,0,2,1,2,0,0,1,0,1,2,0,1,1,0,0,1,0,0,0,2,0,0,2,0,0,0,1,1,0,1,0,1,0,1,1,2,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,2,0,0,0,2,0,0,0,1,2,1,1,0,2,0,0,1,1,2,2,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,2,0,1,1,0,1,1,1,0,1,0,1,2,1,2,1,0,0,1,0,1,1,0,0,0,0,0,2,0,0,0,1,2,1,0,0,2,0,1,1,2,0,0,0,1,1,0,0,0,0,1,0,0,2,1,1,1,2,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,2,1,0,1,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,1,0,1,2,0,0,1,0,0,0,2,0,1,0,0,0,2,0,0,1,1,1,0,1,0,0,0,1,0,1,2,1,1,0,2,1,1,0,1,0,0,1,0,0,1,0,0,1,1,2,0,0,1,2,1,2,0,2,1,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,2,2,1,1,1,0,1,0,1,0,0,1,1,1,0,0,2,1,2,0,1,2,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,1,2,0,2,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1,2,1,1,0,2,1,0,1,1,1,0,0,2,2,0,2,2,0,1,0,0,2,2,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,1,2,1,1,0,0,0,1,0,1,2,0,0,0,0,0,1,2,1,0,2,0,0,0,1,1,1,1,0,1,0,0,0,2,1,0,1,1,0,1,1,2,0,0,1,0,0,0,0,0,2,0,1,0,1,0,1,0,1,0,0,0,0,1,1,1,0,2,0,0,0,0,0,0,0,1,0,1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,1,2,1,1,0,0,2,1,1,2,1,1,0,0,0,1,2,1,0,0,0,0,0,0,0,0,1,0,1,0,1 0,1,1,1,0,0,0,1,1,1,0,1,0,1,1,1,0,2,0,0,0,0,1,0,1,0,1,1,0,1,2,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,2,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,1,1,0,0,2,0,1,1,1,2,0,0,0,0,0,1,2,1,2,0,0,0,0,0,0,0,0,2,0,0,1,0,0,2,0,1,1,1,1,0,0,0,1,1,0,0,0,2,0,1,1,0,0,1,0,0,0,0,2,0,2,0,0,0,1,2,1,0,1,1,2,0,1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,1,1,2,2,2,0,0,0,0,1,2,0,0,0,1,0,0,1,0,0,0,0,1,0,0,2,0,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0,2,2,0,1,0,0,0,1,0,0,1,1,0,1,1,0,2,0,0,1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,1,1,1,1,0,2,2,0,0,1,0,0,0,0,0,1,0,2,1,1,1,0,0,0,0,0,1,2,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,1,0,2,0,0,0,1,1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,2,0,0,0,0,0,1,0,0,2,1,0,0,0,2,0,1,0,0,1,2,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,2,0,0,1,1,1,1,0,1,0,1,2,0,0,1,1,0,2,1,2,1,1,0,1,0,0,0,1,0,0,0,2,0,1,0,1,0,0,1,0,1,2,1,2,0,0,0,0,0,1,0,0,0,0,1,1,1,1,1,0,0,0,0,1,0,2,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,2,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,2,1,0,2,1,1,2,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,2,1,0,0,0,0,1,0,0,1,0,1,2,2,0,0,0,1,0,0,1,1,0,0,0,0,0,2,0,0,1,1,0,2,1,1,0,0,0,1,0,1,0,0,0,1,0,2,0,1,2,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,2,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,2,1,1,2,0,0,2,0,1,2,1,0,0,0,2,1,0,1,2,0,0,1,0,2,0,1,0,0,2,0,1,0,0,0,0,1,0,1,0,1,0,0,0,2,0,0,1,0,1,0,0,0,1,0,0,0,1,2,0,1,0,1,0,0,0,1,2,0,0,0,2,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,1,2,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,2,0,1,1,0,0,2,0,0,1,1,0,2,0,1,0,0,0,1,0,0,1,0,1,2,1,2,2,1,1,1,1,1,2,1,0,2,0,0,0,0,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,2,0,0,0,0,1,0,1,0,0,1,1,0,0,0,2,0,2,0,1,1,2,0,0,1,1,0,0,1,0,0,1,2,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,1,2,1,0,1,1,0,0,0,1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,1,1,2,1,0,0,0,0,0,0,0,1,0,1,0,1,1,2,1,0,1,0,0,1,0,0,0,2,1,2,1,1,1,0,0,2,0,1,0,0,0,2,0,0,0,1,0,1,1,0,1,1,1,1,1,0,2,0,1,0,0,1,0,2,2,1,0,1 1,0,1,1,1,0,0,2,0,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,2,1,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,2,2,1,1,0,1,1,1,0,0,0,1,0,0,1,2,1,0,0,0,0,0,1,1,1,1,1,2,0,0,2,1,0,1,0,0,1,0,0,0,1,1,2,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,2,0,2,2,0,1,0,1,0,0,0,1,1,1,0,1,2,1,1,0,0,1,1,1,1,1,0,0,0,1,0,1,2,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,1,0,0,2,1,1,0,0,2,0,1,0,1,1,0,1,0,0,0,0,0,2,1,0,2,0,0,0,0,0,0,0,1,1,1,2,0,1,1,0,0,0,0,1,0,1,0,1,0,1,2,2,0,1,0,0,0,1,1,1,1,1,1,0,2,2,0,0,2,2,1,0,1,2,0,1,2,0,0,1,0,1,2,1,1,0,0,0,0,1,0,0,1,0,0,2,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,2,1,1,0,1,1,0,1,0,0,0,1,0,1,0,2,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0,2,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,2,1,1,1,0,1,0,0,1,1,1,0,1,0,2,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,2,0,1,0,2,1,0,0,0,0,0,0,0,1,0,1,0,2,1,1,0,1,0,1,0,1,0,2,0,0,0,0,0,1,0,1,0,1,0,2,1,0,0,1,0,0,2,1,1,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,1,2,1,1,1,1,0,0,0,0,0,1,0,2,0,0,1,1,0,1,0,0,1,1,0,0,0,2,1,0,2,0,2,0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,1,1,2,0,0,0,0,0,1,2,2,1,1,0,0,1,0,1,0,2,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,1,1,1,0,2,1,0,0,0,1,1,1,0,2,1,0,1,1,1,0,1,1,0,1,0,1,2,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,0,1,1,0,0,0,0,1,0,2,0,0,0,1,2,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,2,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0,2,0,0,0,2,0,0,0,0,2,0,1,1,0,0,2,0,1,0,1,0,1,0,0,0,0,1,0,0,2,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,1,1,0,0,0,1,2,2,0,2,0,2,0,1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,2,1,0,1,0,2,1,1,1,1,1,1,1,0,0,0,2,0,0,0,1,0,0,0,0,2,2,0,1,1,0,1,0,0,0,1,0,0,0,1,1,1,0,2,0,0,0,0,2,0,0,0,1,1,2,1,1,0,1,0,0,2,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,2,1,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,2,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,2,0,0,1,0,0,1,1,2,0,1,0,1,1,0,2,1,1,0,1,2,0,0,2,0,0,0,0,0,0,1,1,0,1,1,0,0,2,2,0,0,0,1,1,1,0,0,0,0,0,2,0,1,1,0,0,1,0,1,1,1,0,0,0,0,0,1,0,2,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,1,0,2,1,1,0,1,0,1,1,0,0,0,1,0,2,2,1,0,1 0,0,0,1,1,0,1,2,2,1,0,1,0,1,2,0,0,2,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,1,1,1,0,1,1,0,1,2,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,2,1,1,1,0,0,0,0,0,0,1,0,1,0,1,1,2,0,0,0,0,2,0,0,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,2,0,1,2,0,1,0,1,0,0,1,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,2,1,1,2,0,0,0,1,0,0,0,0,0,2,1,0,1,1,1,0,1,1,2,1,0,1,1,0,0,2,0,0,0,1,1,0,0,0,0,1,1,1,0,2,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,1,1,0,1,2,1,1,0,0,0,1,0,0,0,0,1,2,1,0,0,1,2,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,2,1,1,0,0,0,2,1,0,0,1,0,0,0,0,0,1,2,0,0,1,0,1,1,1,2,1,1,0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,2,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,2,0,1,1,2,1,0,0,1,2,0,1,1,1,1,2,0,0,1,1,0,0,1,1,0,2,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,1,2,0,0,2,0,0,0,2,0,1,0,0,1,1,0,2,1,0,0,0,0,0,0,0,0,0,2,1,0,1,0,1,0,0,1,2,1,1,0,1,0,1,2,0,1,0,2,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,2,1,1,1,2,1,0,1,2,1,1,1,0,0,0,1,0,0,0,1,0,0,2,0,1,0,1,1,0,0,0,1,1,0,0,2,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,1,0,0,0,1,0,0,0,2,1,0,0,1,1,0,0,2,0,2,0,1,0,1,0,0,1,0,1,0,2,0,0,0,1,0,1,0,0,0,0,0,2,1,0,1,1,1,2,0,1,0,1,0,2,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,1,0,0,0,2,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,2,0,2,0,0,1,1,2,0,1,0,2,0,2,1,0,0,0,0,1,0,2,2,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,2,1,0,1,0,0,1,1,0,0,0,0,0,2,1,2,2,1,1,1,0,1,1,0,2,1,0,1,1,1,0,1,2,2,1,0,0,1,1,1,0,0,1,1,2,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,2,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,1,1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,2,0,0,1,0,1,1,1,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,2,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0,2,1,1,0,0,0,0,2,1,1,0,1,0,0,1,0,1,1,1,0,2,1,1,0,1,0,1,0,0,0,0,1,0,1,1,0,0,1 2,0,0,1,0,0,0,1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,2,0,0,1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0,2,1,2,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,1,1,0,0,0,1,2,1,1,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,2,0,0,1,1,0,0,1,1,1,1,2,1,0,0,0,0,0,0,2,1,2,0,0,0,0,0,1,0,1,0,0,0,2,0,1,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,1,1,2,0,0,0,0,0,0,0,0,1,2,0,2,1,0,0,1,1,0,1,1,2,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,2,1,1,0,0,1,1,0,1,0,0,1,2,0,1,0,0,0,1,0,1,1,0,0,2,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,2,0,0,2,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,2,2,0,0,0,0,1,0,0,0,1,0,0,1,1,0,1,0,2,1,1,0,1,1,0,0,0,0,0,0,0,1,2,0,0,1,1,0,2,0,1,1,0,0,0,0,0,0,2,1,0,0,1,1,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,1,0,2,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,1,0,1,0,1,1,0,2,0,0,0,2,0,1,0,2,1,0,0,0,1,2,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,2,1,1,2,1,1,1,0,0,0,0,0,1,0,1,2,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,2,0,1,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,2,1,2,2,0,1,1,0,0,2,0,1,1,2,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,2,0,2,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,2,1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,2,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,2,1,1,1,1,1,0,0,0,2,0,1,1,1,0,1,1,1,0,0,0,1,0,0,2,0,0,1,0,0,2,0,0,0,0,2,1,1,0,0,0,0,1,0,1,0,1,2,0,2,0,1,0,1,2,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,2,1,1,2,1,0,0,0,0,1,1,0,0,1,2,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,2,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0,2,0,1,0,1,0,0,2,1,1,0,1,0,2,1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,1,0,0,2,0,0,1,1,1,2,0,0,0,2,0,0,0,2,0,0,0,1,2,0,0,0,0,0,2,0,0,1,1,0,0,1,1,2,1,0,0,0,0,1,0,0,2,0,1,1,0,0,2,1,0,0,0,1,1,2,0,1,0,0,1,0,0,1,0,0,1,0,1,0,1,2,0,1,0,0,0,1,1,0,0,1,0,1,0,0,1,0,2,0,0,0,1 0,0,0,1,1,0,0,2,0,0,2,0,1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,2,0,0,1,0,2,1,0,0,0,1,0,1,0,2,0,2,1,1,1,1,0,0,2,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,2,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,1,0,2,0,1,1,2,0,1,0,1,0,0,0,1,0,0,1,0,2,2,0,0,1,0,0,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,2,1,0,1,0,1,1,0,0,0,1,1,1,2,0,0,1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,1,1,2,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,2,1,1,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,1,2,1,0,1,0,1,0,1,1,0,1,0,1,1,1,2,0,0,0,0,1,2,0,2,1,1,0,0,0,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0,2,1,0,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0,1,1,0,1,2,1,0,0,1,0,1,0,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,2,0,0,2,1,0,1,2,1,1,0,0,1,2,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,2,1,1,0,2,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,1,0,0,1,2,0,0,1,0,2,1,0,1,2,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,2,0,2,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,2,1,1,0,1,0,1,1,1,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,2,1,0,1,0,1,1,0,0,1,1,2,0,1,0,1,2,0,1,0,0,0,0,1,0,0,0,0,0,1,2,0,0,2,0,1,1,0,0,2,0,0,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1,2,0,0,1,0,1,0,0,2,0,0,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,1,1,0,1,2,0,2,0,0,0,0,1,1,0,1,1,1,2,0,0,0,0,1,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,1,2,0,0,0,2,0,1,0,1,0,2,0,1,1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,1,1,1,1,1,2,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,1,2,2,2,0,0,1,0,0,1,1,1,0,0,0,0,0,2,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,2,1,1,0,1,0,0,1,1,1,2,0,0,0,0,0,0,1,1,0,0,2,0,0,0,2,0,0,0,1,1,0,2,1,1,1,1,0,1,0,2,1,0,0,0,1,1,0,1,2,0,2,0,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,1,0,2,0,2,1,0,0,1,1,1,0,0,2,0,0,0,0,0,2,0,1,1,0,0,2,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,0,0,2,1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,2,1,1 0,0,2,0,0,1,1,0,1,0,1,1,1,0,0,0,0,2,1,0,0,0,1,0,1,2,1,1,1,0,2,0,0,1,0,0,0,1,0,0,2,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,2,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,0,0,1,2,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,2,0,1,0,0,1,0,0,1,1,2,0,0,2,0,0,1,1,1,2,0,2,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,1,0,2,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,2,1,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,1,2,0,0,1,0,1,2,1,1,1,0,1,0,0,1,1,0,0,0,2,0,1,1,2,0,0,0,1,1,0,2,2,0,0,0,0,1,0,1,0,0,1,1,0,1,2,0,0,0,0,0,2,1,0,2,1,0,1,2,0,1,0,0,0,2,0,0,2,1,0,1,2,0,1,0,0,1,1,0,0,0,0,0,2,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,1,1,1,2,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,1,1,0,1,1,1,1,0,0,2,1,0,0,2,2,0,0,2,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,1,2,1,0,0,0,0,0,2,2,1,0,0,1,0,0,0,0,0,0,0,2,0,0,1,2,0,2,0,0,0,0,0,0,0,0,2,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,1,1,1,2,0,0,0,1,0,1,2,1,0,1,0,0,0,1,0,0,2,0,1,1,0,0,1,1,2,2,0,0,1,0,0,0,0,0,0,0,1,0,1,1,2,0,0,1,0,1,1,0,0,0,2,1,0,1,0,1,0,0,1,2,0,1,1,1,1,0,0,1,1,1,0,1,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,2,1,0,1,1,0,0,0,1,0,0,0,1,1,2,0,1,2,0,0,2,1,0,1,1,1,0,1,0,0,0,2,0,1,1,0,2,1,0,0,0,1,0,2,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0,2,1,1,0,1,1,0,0,0,1,0,0,0,2,0,2,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,2,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0,2,0,2,1,1,0,0,0,1,1,0,1,0,0,2,0,0,1,0,1,0,0,1,1,0,2,0,0,1,0,2,2,2,0,0,2,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,2,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,1,1,2,1,1,2,1,0,0,0,0,0,1,0,0,0,1,1,0,2,0,1,1,0,0,0,1,0,0,0,0,0,2,0,0,0,2,1,0,1,1,1,0,1,1,0,0,0,2,0,0,0,0,0,0,1,0,2,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,1,1,0,1,1,1,0,1,0,1,2,0,1,1,0,2,0,0,1,0,0,0,0,0,0,2,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,1,1 1,0,1,2,1,0,0,1,1,0,2,2,0,1,0,0,0,1,0,0,0,1,0,1,1,2,1,1,0,0,2,0,1,2,0,0,1,0,1,0,1,2,1,0,2,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,2,1,1,0,0,1,0,0,0,0,0,2,0,1,2,0,2,1,2,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1,0,2,0,1,0,0,0,2,1,0,0,1,0,1,1,0,0,0,0,0,0,0,2,0,1,0,1,0,0,1,1,0,0,1,2,0,0,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0,2,0,0,2,1,0,2,1,0,0,1,1,0,0,0,1,1,0,0,2,1,2,0,1,0,1,0,1,0,0,2,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,2,2,2,0,0,1,2,2,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,2,1,1,0,0,2,0,0,0,1,0,1,1,2,0,0,0,1,0,0,1,1,2,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,2,0,0,2,0,0,2,0,0,2,2,0,1,0,2,0,2,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,1,2,0,0,1,0,1,1,0,1,2,1,0,1,1,1,0,0,0,1,2,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,1,1,1,0,2,0,0,1,0,0,2,0,1,0,1,2,1,0,0,0,0,0,0,0,0,0,1,1,0,2,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,1,2,1,0,1,0,2,0,0,0,2,0,0,1,1,2,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,2,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,2,1,2,2,0,1,0,0,1,1,1,0,1,0,2,0,1,0,0,2,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,1,1,2,1,1,0,0,0,0,0,1,1,0,1,2,0,1,0,1,1,1,2,0,0,1,1,2,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,1,0,1,1,2,1,0,0,1,0,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,1,2,0,1,0,1,1,0,2,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,2,0,1,0,1,1,0,2,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,2,1,1,2,1,0,0,2,1,0,0,0,0,1,1,1,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,2,1,1,0,0,2,0,1,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,0,0,0,2,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0,1,1,0,0,1,1,1,0,2,0,0,0,0,1,1,0,0,2,1,0,1,0,1,1,0,2,0,0,1,0,1,1,0,2,2,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,1,1,1,0,1,1,2,1,0,0,2,0,1,0,0,1,0,1,0,2,0,0,2,1,0,0,0,1,1,1,2,1,0,0,0,0,0,1,1,0,2,0,0,0,0,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1 0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,1,1,1,0,2,0,1,1,1,0,1,0,0,1,0,1,1,1,2,0,0,2,0,0,1,0,0,0,2,0,1,1,1,0,0,0,0,1,0,0,0,0,1,1,1,1,1,0,2,0,1,1,0,1,0,0,0,1,2,1,2,0,1,0,1,1,0,0,0,0,0,1,2,0,0,1,0,1,1,1,0,0,0,2,1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,2,1,0,1,0,0,1,0,0,0,0,2,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,2,1,1,1,0,0,0,0,2,0,1,1,0,1,0,1,0,0,1,0,1,1,0,1,1,1,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,2,0,2,1,0,0,0,1,1,0,1,2,1,0,0,1,1,0,1,2,0,1,1,2,0,0,0,1,0,2,1,0,0,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,2,0,0,1,1,1,0,0,0,1,0,0,0,0,1,2,1,0,0,1,0,2,0,0,1,0,1,0,0,0,0,0,0,0,1,2,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,2,0,0,0,1,0,0,1,1,1,1,0,1,0,1,2,1,2,0,0,0,0,2,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,1,2,0,1,0,0,0,2,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,1,1,2,2,2,0,0,0,1,0,0,0,0,2,0,1,2,1,1,0,0,0,1,1,0,0,0,1,2,0,1,0,2,1,2,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0,2,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,2,1,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,2,1,1,1,1,0,1,0,1,0,0,0,2,0,0,2,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0,1,1,2,0,1,0,0,2,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,1,0,0,2,1,1,0,1,0,1,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,1,1,1,1,2,1,1,2,1,1,2,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,2,0,1,0,1,0,2,0,0,0,1,1,1,0,2,0,2,0,1,0,0,0,0,2,0,1,1,1,0,1,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,1,2,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,2,0,0,0,1,1,0,2,0,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,1,2,0,0,0,0,0,0,0,0,0,0,2,1,0,1,0,0,1,0,1,1,1,2,0,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,2,1,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,2,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,2,2,1,0,0,0,1,1,0,0,0,0,0,0,0,2,0,1,2,0,1,1 0,0,0,0,1,0,0,2,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,1,0,0,0,2,0,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,2,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,2,0,0,1,2,1,0,1,0,0,2,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,1,2,1,1,0,0,0,1,1,0,0,0,1,1,0,2,0,2,0,0,1,1,1,0,0,1,2,1,2,1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,1,0,2,0,0,1,0,1,0,0,1,0,1,0,0,0,0,2,0,1,0,0,2,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,1,2,0,0,0,1,0,1,0,2,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,2,1,0,0,0,1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,2,2,1,1,0,0,1,1,2,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,2,1,1,0,0,0,1,1,0,0,1,0,0,2,0,1,1,1,1,0,0,0,1,2,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,2,0,1,0,0,1,2,1,0,1,0,0,0,1,0,0,0,1,0,0,1,1,0,2,0,0,0,1,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1,2,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,2,0,0,1,0,0,1,0,1,2,1,1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,1,1,0,0,2,0,0,2,1,1,2,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,2,1,0,0,0,0,1,0,0,0,2,0,0,1,2,0,0,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,2,0,1,0,1,0,0,0,0,1,2,0,0,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,2,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,1,1,1,0,0,2,1,0,1,1,2,2,2,0,2,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,1,0,0,1,0,0,0,0,1,0,2,0,0,0,2,2,0,0,2,1,0,1,2,1,0,0,1,0,0,2,0,0,1,2,1,2,0,0,0,1,1,1,0,2,0,1,1,0,1,1,0,0,0,0,1,0,1,0,2,1,0,0,0,0,0,1,0,0,1,1,0,0,0,2,1,1,1,2,2,0,0,0,2,1,1,0,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,1,0,1,1,0,0,2,1,1,0,1,1,1,0,1,1,0,2,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,1,1,0,1,0,2,0,2,1,0,0,1,2,1,1,1,1,1,1,2,1,0,2,0,1,1,0,1,0,0,1,1,0,2,1,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,2,0,2,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,1,0,2,1,1,0,1,0,1,0,1,0,0,2,0,1,1,2,1,1,0,0,0,0,1,1,1,0,0,2,1,0,0,0,0,0,0,1,2,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2,1,1,0,0,0,0,1,0,1,0,0,2,0,2,0,0,1,1,0,1,1,0,0,2,1,0,0,0,0,1,2,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,2,0,0,0,1,1,0,1,0,1,1,0,0,0,1 0,0,0,1,1,0,1,1,2,2,1,0,0,1,1,1,0,2,0,1,0,1,0,1,1,2,2,1,2,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,0,2,0,0,1,0,1,1,0,0,0,0,0,1,1,2,0,1,0,0,0,0,0,1,2,0,0,0,0,2,0,1,0,0,0,2,1,1,1,0,0,1,0,2,0,1,0,1,1,1,0,1,2,0,0,0,0,0,1,0,1,1,1,0,0,0,0,2,1,2,0,0,1,1,1,1,1,1,0,1,2,1,0,0,0,2,2,0,0,1,2,0,1,2,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,2,0,2,0,1,0,1,1,2,1,1,0,0,0,1,0,1,2,0,0,1,2,1,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,1,0,2,0,1,0,0,0,0,1,0,2,1,0,0,1,1,0,0,1,0,0,2,0,1,1,0,1,0,0,1,1,0,0,2,0,0,1,0,1,1,1,1,2,1,0,0,0,0,1,1,0,2,1,1,0,1,0,1,0,1,1,0,2,0,1,1,1,1,1,2,1,2,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,1,2,0,1,0,2,1,1,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,2,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,1,2,1,0,1,1,1,0,0,2,0,0,2,1,0,0,0,0,0,0,0,0,1,0,1,2,1,0,0,0,0,1,1,0,0,1,1,1,1,1,0,2,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,1,0,0,0,1,1,0,0,2,1,0,0,0,2,0,0,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0,1,2,0,1,0,0,0,1,1,1,2,2,0,1,0,0,2,1,1,0,1,1,1,1,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,1,2,1,0,1,1,0,0,1,1,0,0,0,0,1,1,1,1,0,1,2,0,0,1,0,1,2,1,0,0,1,0,0,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,2,1,2,0,0,0,0,0,1,2,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,2,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,1,2,0,1,2,1,0,0,0,0,0,0,2,1,2,0,2,0,1,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,1,2,0,0,0,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,2,0,0,1,1,1,2,0,0,0,0,0,1,1,1,0,0,0,0,0,2,0,1,0,1,2,0,0,0,0,0,0,0,2,0,0,0,0,1,0,1,0,0,1,0,1,1,0,2,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,2,2,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0,1,1,0,0,1,1,0,1,0,0,1,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1 1,0,0,1,0,0,1,1,0,1,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,1,0,2,0,0,0,1,0,0,1,1,1,0,2,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,1,0,0,2,1,1,0,2,0,1,0,1,1,0,1,0,0,0,2,2,1,0,0,2,0,2,1,0,0,0,2,2,1,0,0,0,2,0,2,1,1,0,1,0,1,1,1,0,1,1,1,0,0,1,1,2,0,2,0,0,0,1,1,1,0,1,1,0,2,0,0,1,0,2,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,2,0,0,1,0,1,1,0,0,0,0,0,0,1,0,1,2,0,0,0,1,0,1,0,0,1,2,0,0,0,2,2,0,2,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,2,1,1,1,2,0,0,0,1,0,0,1,2,2,0,0,0,0,2,0,0,0,1,0,0,0,1,0,1,1,0,0,2,1,0,0,0,1,1,1,0,0,0,1,1,2,0,0,1,1,0,0,2,0,0,0,0,0,1,1,2,1,0,0,1,2,0,0,0,0,0,1,0,1,0,0,1,0,0,2,2,0,0,1,0,0,2,0,1,0,0,0,1,1,1,0,0,1,1,1,1,0,1,1,2,1,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,2,0,0,0,1,2,1,2,0,0,1,0,0,1,0,0,0,1,1,0,2,2,0,1,0,1,0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,2,0,0,0,1,0,1,0,0,1,0,0,2,2,1,0,0,0,1,0,0,0,0,0,0,1,1,0,1,1,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,2,1,1,0,0,0,1,1,1,0,0,1,2,2,2,1,0,1,0,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,2,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,1,2,0,2,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,2,0,0,0,0,1,0,0,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,2,0,1,1,0,1,1,0,0,2,1,0,0,0,0,0,0,1,1,1,0,0,1,0,2,0,1,2,1,2,0,0,0,0,1,0,1,0,1,1,1,0,2,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,2,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,2,1,0,0,2,1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,2,0,0,0,1,1,0,0,0,2,2,2,1,1,0,0,0,0,2,0,1,2,0,1,0,0,2,2,0,0,0,1,0,0,0,1,2,0,2,0,0,1,0,0,0,1,1,0,0,0,1,0,2,2,2,0,0,0,1,0,2,0,0,0,0,0,2,1,0,0,0,0,0,2,1,1,0,0,1,0,2,1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,2,0,0,0,0,2,2,0,0,0,1,0,0,1,0,1,0,2,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,2,1,0,2,0,0,0,0,0,1,0,1,1,0,0,0,0,0,2,0,1,0,1,0,0,2,0,0,2,0,0,0,0,0,1,1,0,1,1 1,0,0,1,1,0,1,1,0,0,0,2,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,2,0,0,0,0,0,1,1,0,1,0,0,0,1,1,2,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,2,0,0,0,0,1,0,1,2,0,0,0,1,1,0,1,0,0,2,0,0,2,0,1,0,0,2,1,1,1,0,0,2,0,2,2,0,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,2,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,2,0,1,0,0,1,1,1,1,2,0,0,1,1,0,0,0,0,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,2,1,1,1,1,0,0,0,0,0,0,1,1,1,2,1,0,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0,1,0,2,0,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,1,2,0,0,1,0,0,2,1,1,0,1,0,0,1,0,1,1,0,0,2,1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,2,0,1,0,1,2,1,0,1,2,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0,0,2,1,1,1,0,0,0,2,1,0,0,0,0,0,2,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,2,1,1,2,1,1,0,1,1,0,0,1,0,0,0,2,2,1,1,0,0,2,0,1,0,0,0,1,0,2,2,1,0,2,0,0,1,1,1,1,1,2,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0,0,2,0,0,1,1,0,1,0,0,2,1,0,1,1,2,1,0,1,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,2,0,1,0,0,1,1,2,1,1,1,0,0,1,0,1,1,0,1,2,0,0,1,1,0,0,0,0,1,2,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,2,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,2,0,1,0,2,0,0,1,0,0,0,0,1,2,2,0,0,0,0,0,0,2,1,0,1,0,0,0,2,0,0,2,0,1,0,0,0,1,0,2,0,0,0,2,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,2,0,0,0,0,0,1,1,1,2,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,2,0,2,2,0,0,0,0,0,2,0,0,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,2,1,0,0,1,0,0,2,0,1,1,0,1,1,0,0,0,1,0,1,1,1,1,2,0,1,0,1,0,0,0,2,0,0,0,1,0,0,1,2,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,2,1,2,1,1,2,0,0,0,2,0,0,0,0,1,0,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,2,1,1,0,0,0,1,0,1,1,2,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,2,1,0,0,1,1,1,1,0,1,0,0,2,0,0,2,1,2,1,0,1,0,1,1,1,2,0,1,1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,1 0,0,2,1,1,0,1,1,0,0,2,0,0,1,1,1,0,0,2,0,0,0,0,1,2,1,1,1,1,0,2,0,2,0,0,1,0,1,0,0,1,2,0,2,1,0,0,1,1,0,0,0,0,0,1,0,2,1,0,1,0,0,0,0,0,2,0,2,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,2,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,1,0,2,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0,2,2,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,1,2,0,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0,2,0,2,2,1,2,1,0,0,2,0,0,0,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,2,0,2,1,0,0,1,2,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0,1,2,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,1,1,2,0,0,1,1,0,1,1,0,1,0,2,1,1,1,1,0,0,0,0,0,0,0,0,0,2,2,1,1,1,0,0,0,1,0,0,0,0,0,2,1,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,2,1,2,1,0,1,1,0,1,0,0,0,0,2,0,1,0,0,0,1,0,0,1,2,0,0,1,2,0,0,0,1,1,2,0,2,0,0,1,0,1,0,0,2,2,0,0,1,1,1,0,0,0,1,2,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0,1,1,2,0,2,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,1,1,2,0,1,0,0,0,2,1,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,1,0,1,1,1,0,1,0,2,1,1,0,0,0,1,2,1,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,1,2,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,2,0,0,2,0,0,0,1,2,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,2,1,1,1,2,2,0,0,0,1,0,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,2,2,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,2,0,0,1,1,1,0,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,2,0,1,0,2,1,0,2,0,0,1,2,0,2,1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,2,1,1,1,2,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,1,0,2,0,1,1,1,1,0,1,2,0,0,0,2,1,0,0,1,0,1,0,1,0,0,0,1,0,0,2,1,0,0,0,1,0,0,0,0,1,1,0,0,2,0,0,0,0,2,0,0,0,0,1,1,0,0,0,1,0,0,0,1,1,2,2,2,1,0,0,0,0,1,1,0,1,1,2,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,1,2,1,0,0,0,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,1,1,1,0,2,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,2,0,1,0,1,0,1,1,2,1,0,1,0,2,0,0,2,1,0,0,0,1,0,1,1,1,0,1,1,0,2,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,2,0,0,0,0,0,0,1,0,2,0,1,1,0,1,1,0,2,1,0,0,2,1,0,2,0,1,0,1,1,1,0,0,0,1,2,1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,1,1,0,1,1 1,0,0,2,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,2,0,0,0,1,2,0,2,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0,2,0,2,0,1,1,0,1,0,0,1,0,1,1,2,0,0,1,0,0,0,2,0,1,1,1,1,2,1,0,0,0,1,0,0,0,0,0,1,0,0,2,2,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,1,0,0,1,2,0,1,1,0,1,2,0,1,0,1,0,0,0,0,0,0,1,1,1,1,0,1,2,1,0,2,0,0,0,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,2,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,2,0,1,1,2,1,0,1,0,1,1,0,0,2,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,1,0,2,1,0,0,0,0,0,1,1,0,0,0,1,1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,1,2,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,0,1,2,0,0,2,0,0,2,1,0,1,2,0,0,0,2,0,1,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,2,0,0,0,0,1,0,0,1,2,2,0,1,2,1,1,0,1,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0,2,2,0,1,0,0,0,1,0,0,0,1,1,1,0,0,1,1,1,2,1,2,0,1,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,0,2,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,2,1,0,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,2,1,2,0,0,2,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,2,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0,2,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,2,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,1,2,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,2,0,0,1,0,1,0,0,0,0,0,1,0,0,2,0,1,0,0,1,0,0,1,0,1,0,0,2,1,1,0,1,0,1,0,0,1,1,0,2,1,0,1,1,2,1,0,0,0,0,2,0,1,2,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,1,2,0,1,0,1,0,1,1,1,1,0,0,0,2,0,1,1,0,2,1,0,0,0,1,1,0,1,0,1,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,2,0,0,1,0,1,0,1,0,1,1,1,1,2,0,2,0,0,2,1,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,2,0,1,0,1,0,1,1,0,2,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,2,0,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,2,1,0,0,2,0,0,0,1,1,1,0,0,1,0,2,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,2,1,0,1,1 0,0,2,2,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,0,1,2,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,1,2,1,0,1,0,1,1,0,0,2,0,0,0,0,1,1,1,2,2,2,0,0,0,2,0,1,0,2,0,2,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,1,1,2,0,2,1,0,2,0,1,1,0,1,0,2,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,2,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,2,0,1,0,2,0,1,0,1,1,0,1,2,0,0,0,0,0,0,0,1,2,1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,1,2,1,0,0,0,0,1,0,0,2,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,1,2,1,0,0,1,1,0,1,1,0,0,0,0,2,1,1,1,2,0,0,1,0,2,1,0,0,0,2,0,1,0,0,0,0,2,0,1,1,0,1,0,0,0,1,0,0,0,0,1,2,0,0,1,0,0,1,2,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,1,1,0,0,0,0,0,0,0,2,1,1,1,0,0,0,0,1,0,0,1,0,1,1,0,1,2,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,2,0,1,1,0,2,0,1,0,2,1,0,0,0,0,2,2,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,1,1,1,1,0,2,0,2,0,1,1,0,2,0,0,1,0,1,0,0,2,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,1,2,1,0,1,0,1,0,1,0,1,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,1,2,0,0,2,1,1,0,0,0,0,0,1,2,1,0,2,1,0,1,0,1,0,1,2,1,0,1,1,1,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,2,0,1,2,0,0,0,1,1,0,0,0,1,1,2,1,0,0,2,1,0,0,1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,0,2,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,1,1,1,2,0,0,1,0,0,0,0,0,2,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,2,1,0,2,0,0,0,0,0,0,0,1,1,0,1,2,0,0,1,1,0,2,0,2,0,0,2,0,0,0,1,0,0,0,0,0,2,0,0,2,0,0,1,2,1,1,0,1,2,2,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,0,1,0,1,0,2,0,0,0,0,0,1,1,2,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,2,0,1,0,0,0,1,0,0,0,0,0,0,0,2,1,0,1,1,0,0,0,1,0,0,1,0,0,2,1,1,0,2,0,0,1,1,2,2,0,0,2,1,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,1,2,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,1,2,0,1,0,1,2,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0,2,0,0,1,1,2,1 0,0,0,1,1,0,1,0,0,1,2,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,1,2,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,2,0,0,0,0,0,2,0,0,2,0,0,0,0,0,2,0,2,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,2,1,0,1,1,0,1,0,0,1,1,0,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,0,0,2,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,2,0,1,1,0,1,0,0,0,0,1,1,2,1,1,0,1,0,0,0,1,1,0,0,2,0,0,0,0,2,0,1,0,0,2,0,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,1,2,1,0,0,2,0,2,1,1,0,0,0,0,1,0,0,0,1,1,1,0,2,2,1,0,0,0,1,0,2,1,0,0,0,2,1,1,2,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,2,1,2,1,1,1,1,1,1,2,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,2,1,1,0,0,0,1,0,0,0,0,1,2,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,2,1,2,1,0,0,1,0,2,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,0,2,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,1,1,1,0,1,1,1,2,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,2,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,2,0,1,0,0,1,2,2,1,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,2,2,0,0,0,1,0,0,1,1,1,1,0,1,2,1,0,1,1,2,1,0,0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,1,0,0,2,2,1,0,0,0,1,2,0,0,2,0,0,2,0,0,0,0,0,1,0,1,0,2,1,0,1,1,1,0,1,1,1,1,1,0,1,2,1,0,2,0,0,0,1,1,1,0,0,0,1,1,1,1,0,2,1,1,0,1,0,0,0,2,1,2,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,1,1,1,0,0,0,1,2,1,0,2,0,0,1,0,1,0,0,0,0,0,0,0,1,1,2,2,0,0,1,2,0,0,0,2,1,0,1,1,1,1,0,0,1,2,0,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0,2,0,2,0,1,0,1,0,1,1,0,1,0,1,0,0,0,2,0,1,2,2,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,2,0,0,0,2,0,0,0,1,0,0,1,0,1,2,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,2,0,1,0,2,0,1,0,1,0,0,0,0,0,1,1,0,1,1,1,0,0,1,2,2,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1 0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,2,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,2,2,2,0,2,1,0,0,2,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,2,0,1,0,1,1,1,1,0,2,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,2,0,1,0,1,0,0,0,1,0,0,0,1,0,2,0,0,1,1,0,2,1,1,0,1,1,2,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,2,1,0,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,1,1,1,0,2,0,1,0,1,0,1,0,0,1,0,1,0,1,1,1,1,1,0,1,0,1,2,1,1,1,0,0,0,0,0,1,0,1,2,2,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,1,1,2,1,1,0,0,1,0,1,0,2,0,1,0,1,0,1,0,0,0,1,1,0,2,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,1,1,2,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,2,1,1,0,0,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0,0,1,2,0,0,1,1,0,2,0,0,0,0,0,0,1,0,2,0,0,1,0,2,2,1,2,1,0,1,0,0,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0,2,0,1,0,0,0,0,1,1,0,1,0,1,2,2,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,2,0,0,1,0,0,0,0,2,0,2,2,0,0,1,0,0,2,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,2,0,0,0,0,0,2,1,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,2,0,1,1,0,1,2,2,2,1,2,2,1,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,2,1,1,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,2,0,0,1,0,1,1,1,0,0,1,0,1,0,2,2,0,0,2,0,1,0,1,0,0,2,1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,2,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,2,1,0,2,1,0,0,2,0,2,0,0,1,1,0,1,0,2,0,0,1,1,0,0,0,1,0,2,1,0,0,2,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,2,0,0,0,0,1,0,2,0,1,1,0,2,2,0,0,0,0,0,0,0,1,1,1,1,2,0,0,1,1,2,1,1,0,0,0,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,2,1,0,1,2,1,0,0,0,1,0,1,0,2,2,1,0,0,1,0,0,0,0,1,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,2,1,0,0,1,0,0,0,0,1,2,0,0,0,0,0,1,1,1,0,1,0,0,2,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,1,1,0,0,0,1,2,0,0,1,0,0,1,0,0,1,1,1,2,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1 1,0,1,0,0,0,0,0,0,2,2,2,1,1,1,1,0,0,0,0,0,0,0,0,1,1,1,2,0,0,2,0,0,0,0,0,1,1,0,0,1,2,0,1,0,1,0,1,0,1,2,0,0,0,2,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,2,0,1,0,0,0,0,0,0,2,1,2,1,0,1,0,2,0,0,1,1,1,0,0,0,0,1,1,0,1,0,2,1,0,0,0,0,0,0,2,0,1,1,1,1,2,0,2,1,0,0,0,0,1,2,0,0,1,1,0,0,0,1,0,2,0,1,0,1,2,1,1,1,1,0,0,1,0,0,0,0,2,0,0,0,1,1,0,0,0,1,0,2,0,1,0,0,1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1,2,1,0,0,1,2,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1,0,0,2,1,0,1,1,1,0,0,1,1,0,1,1,0,0,1,2,1,2,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,1,2,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,1,1,2,1,0,0,0,0,2,1,0,0,0,2,0,1,0,0,0,1,0,1,2,0,0,1,0,1,0,0,0,0,0,0,2,2,1,0,0,1,0,1,1,1,2,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,2,1,1,0,2,0,0,1,0,0,1,0,1,0,1,0,0,1,1,0,0,1,0,0,2,0,0,0,0,2,0,2,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,2,0,1,1,2,0,1,0,2,0,0,0,0,1,0,0,2,0,0,1,1,0,0,0,1,1,1,0,2,0,1,0,0,0,1,1,1,1,0,0,0,2,0,2,0,1,0,0,0,1,1,1,2,0,0,0,0,0,1,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,2,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,1,2,2,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,2,2,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,1,1,0,0,1,0,1,0,0,2,0,0,1,1,0,0,2,1,0,1,0,0,0,0,2,1,2,0,1,1,1,1,0,2,2,1,1,0,2,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,2,0,1,2,0,0,1,0,2,0,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0,2,0,0,1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,1,1,0,0,1,1,1,2,1,0,0,0,0,0,1,1,0,0,1,0,2,0,0,0,2,1,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0,2,1,2,0,0,0,0,0,1,2,0,1,0,1,0,1,1,1,0,0,1,0,0,0,0,2,1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,1,0,2,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,2,2,0,0,0,1,1,0,1,0,2,0,0,0,0,0,0,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,2,2,1,0,0,1,2,0,2,0,1,1,2,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1 1,0,1,0,0,1,1,0,0,2,2,0,0,1,2,0,0,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0,2,0,1,0,2,2,1,0,0,2,1,2,0,0,0,1,0,0,1,0,2,1,0,0,1,0,1,2,1,2,1,0,2,0,2,1,1,1,0,1,0,0,0,0,1,2,1,1,0,0,0,0,2,0,0,0,0,1,0,1,2,0,0,0,0,0,1,1,0,0,0,2,1,0,0,2,0,0,0,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,0,2,0,0,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0,1,2,0,1,1,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,1,1,0,2,1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,2,0,1,0,2,1,1,0,0,0,1,1,1,1,0,0,0,1,2,0,0,0,1,0,1,1,0,1,1,0,0,1,2,0,1,1,1,0,0,2,0,1,0,2,0,0,0,1,1,0,2,0,0,0,1,2,0,1,0,0,0,2,1,1,0,0,2,0,1,1,0,0,1,0,0,2,2,0,0,2,0,0,1,0,0,1,0,0,0,1,0,1,0,0,2,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,2,1,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0,2,1,0,0,0,0,1,0,1,2,2,1,0,0,2,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,2,2,0,1,0,0,1,1,0,0,0,1,2,0,1,0,2,0,1,0,1,1,0,0,1,2,0,0,1,0,0,0,2,2,0,1,0,1,1,0,2,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,2,0,1,0,0,0,1,0,0,0,2,0,0,0,0,2,2,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,2,1,0,1,0,0,1,0,0,1,1,0,0,2,0,1,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,2,0,1,0,1,1,0,2,0,0,0,0,1,0,1,1,0,0,0,0,1,0,2,0,1,1,0,1,0,2,1,1,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,2,1,0,2,0,0,0,2,2,0,1,1,1,1,0,0,0,1,0,1,1,2,2,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,2,0,1,0,1,0,1,0,1,0,0,0,1,2,0,0,0,1,0,0,1,0,0,2,1,0,2,1,0,1,1,1,1,0,1,0,1,1,0,0,1,2,1,0,0,1,0,0,1,0,0,2,1,0,0,1,1,0,0,0,0,0,1,1,1,0,1,1,1,2,0,1,1,2,2,1,1,2,2,0,2,1,0,2,0,2,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,2,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,2,1,1,2,1,0,0,0,0,0,1,0,0,1,2,0,2,1,1,0,0,0,0,1,1,2,1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,1,2,2,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,2,0,1,0,0,0,2,1,0,0,0,0,1,2,0,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,2,0,1,0,0,0,0,1,2,1,2,2,1,1,0,1,0,1,1,0,2,0,0,0,0,2,1,1,0,0,0,1,0,1,0,0,0,1 0,0,0,2,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,1,1,0,0,0,2,0,2,0,0,0,1,0,1,2,1,0,0,2,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,1,1,1,0,2,1,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,2,0,0,1,0,0,0,0,0,0,2,1,0,2,0,1,0,0,0,1,1,2,0,2,0,2,1,1,0,0,0,0,0,2,1,1,0,0,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,2,1,0,0,0,2,0,1,0,0,2,1,1,0,0,0,0,2,0,0,1,0,1,0,0,1,0,2,0,0,1,0,0,0,2,0,1,2,0,2,0,0,0,2,0,0,0,0,0,0,0,1,0,0,1,2,0,0,2,1,1,0,1,0,1,0,0,1,2,0,0,1,0,0,1,2,1,0,0,0,0,0,1,0,1,1,2,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,1,2,1,0,0,0,1,0,0,1,0,0,1,2,0,0,0,2,0,1,0,1,1,0,0,1,2,1,0,0,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,2,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,1,0,0,1,1,1,0,0,0,0,1,1,1,0,0,2,1,0,2,0,0,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1,2,2,2,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,0,0,0,1,1,1,1,0,0,1,1,1,2,0,0,0,0,0,0,1,0,0,1,1,2,1,0,0,0,2,0,0,0,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,2,1,0,0,0,0,0,1,0,0,0,2,0,0,1,0,2,2,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,1,1,0,0,0,0,0,1,0,2,1,1,0,1,0,0,1,1,2,0,0,1,2,1,0,0,1,0,2,0,0,0,0,1,1,1,1,0,1,0,1,0,0,1,1,2,1,1,1,1,0,0,0,0,0,2,0,2,0,0,1,0,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,2,0,1,0,1,1,0,0,1,1,0,0,2,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,1,0,0,2,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,1,0,1,0,1,1,0,2,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,2,0,2,0,1,1,1,0,0,0,1,0,2,0,1,0,0,1,1,0,0,0,0,2,1,0,0,1,0,1,0,1,0,1,1,0,0,2,0,1,1,1,0,2,2,2,1,1,1,0,0,1,0,1,1,0,2,0,2,0,1,2,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,1,1,1,1,0,0,0,1,1,1,2,1,1,1,1,1,0,1,2,1,0,0,0,0,1,0,1,0,1,2,0,0,0,0,1,0,2,1,0,0,0,1,0,1,2,1,0,0,2,0,0,0,0,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,2,2,0,2,0,0,0,0,2,1,0,0,1,0,0,1,1,1,0,1,1,0,2,0,1,0,2,0,0,0,0,1,0,0,1,1,1,2,1,0,1,1,0,0,0,1,1,2,0,0,0,0,0,1,0,1,1,1,0,0,0,0,2,0,0,0,0,1,1,1,2,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,2,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,1 1,0,1,1,0,0,0,0,0,1,1,0,0,2,2,0,1,0,0,0,0,0,1,1,1,1,0,0,0,1,1,0,2,0,0,0,1,0,0,0,0,2,0,0,1,1,1,1,1,1,1,0,0,1,1,0,1,0,1,2,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,2,0,0,0,0,0,1,2,0,0,1,0,1,1,0,1,1,2,0,1,0,0,0,0,0,1,0,0,1,2,1,2,1,1,1,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,1,2,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,1,2,0,0,0,2,2,0,1,0,1,0,1,0,1,0,0,0,0,2,1,0,1,1,0,0,0,0,0,2,0,0,0,2,0,1,1,0,1,1,0,0,0,0,0,1,1,0,2,0,1,0,0,0,1,0,0,1,0,2,0,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0,0,2,1,1,0,0,1,0,0,2,0,2,0,0,0,1,1,0,1,0,2,0,1,0,1,1,0,1,0,0,2,1,2,1,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,2,1,0,2,2,0,0,0,1,0,0,1,1,2,1,2,2,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,2,1,0,0,0,2,0,2,0,1,0,0,1,1,1,0,1,1,2,1,1,1,2,1,0,0,0,1,2,0,0,1,0,0,1,0,0,0,2,0,0,0,1,1,0,1,0,0,0,2,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1,1,1,2,0,1,1,0,0,1,2,0,1,0,0,0,2,1,0,0,0,1,0,1,0,2,1,1,0,0,0,1,0,1,0,1,0,0,0,0,2,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0,1,0,1,2,0,0,0,0,0,0,1,0,1,2,1,0,0,1,1,0,0,0,0,0,0,1,0,2,1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,2,1,1,2,1,1,0,0,0,0,2,2,1,0,1,1,0,0,2,1,0,0,0,0,1,1,0,1,2,0,1,1,1,0,1,0,0,1,0,1,2,0,0,1,0,2,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,2,0,1,1,0,0,1,0,0,0,1,0,1,0,2,0,1,0,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,2,1,1,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0,2,2,1,0,0,0,1,1,0,1,1,0,2,1,0,1,1,0,1,0,2,0,0,2,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,2,1,2,0,0,0,0,0,1,0,1,0,1,1,1,1,0,1,1,2,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,2,1,2,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,1,1,0,0,2,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,1,2,0,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,1,0,0,1,2,0,0,1,0,1,1,1,0,0,1,0,0,2,0,0,1,0,0,0,1,2,0,0,2,0,0,0,2,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,1,1,1,0,0,0,1,0,0,2,2,0,0,0,0,2,0,0,1,0,1,0,0,1,0,2,1,0,1,0,1,1,0,0,1,0,0,1,0,2,0,0,0,2,0,0,2,0,0,0,1,1,0,2,0,2,0,0,1,0,0,1,1,1,1,0,0,0,0,2,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1 1,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0,1,1,1,0,0,0,0,0,1,2,2,1,0,2,1,0,1,1,1,0,0,0,0,0,2,0,1,1,0,1,1,1,0,0,2,0,0,0,1,0,1,0,2,1,0,0,0,0,1,0,0,1,0,0,1,0,0,2,2,1,0,1,0,0,0,0,2,0,1,1,0,1,0,1,1,2,1,0,0,1,2,1,2,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,2,2,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,2,0,0,1,0,0,1,0,1,0,0,2,0,0,0,1,0,0,2,0,0,2,0,1,0,1,1,1,2,1,0,1,1,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,2,0,2,2,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,2,0,1,1,0,2,2,2,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,2,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,1,2,2,0,0,0,0,0,2,0,0,0,0,0,0,1,1,0,1,2,0,0,0,1,0,0,0,0,0,2,2,2,2,1,1,0,2,1,2,1,1,1,0,0,2,0,1,0,0,1,1,1,1,2,0,0,1,0,0,2,1,0,1,0,2,0,0,0,0,1,2,0,0,0,1,0,0,0,1,0,0,1,1,1,1,1,0,0,0,1,2,2,0,0,2,2,1,1,2,1,2,0,1,0,1,0,1,0,1,1,0,2,1,0,1,0,1,0,0,1,0,1,0,0,0,0,1,0,2,0,1,0,1,1,1,0,0,0,1,0,2,1,1,0,1,0,2,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,0,1,0,2,1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0,1,2,0,1,1,0,0,0,0,0,1,0,1,0,0,0,2,0,1,0,2,0,1,0,0,1,1,0,0,0,0,1,2,0,0,0,0,1,0,1,0,2,1,2,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,2,0,0,1,1,1,1,0,0,1,0,1,1,1,1,1,1,0,1,0,0,1,2,0,0,0,0,0,1,2,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,2,0,0,1,1,1,0,2,1,2,0,0,1,0,0,1,1,0,0,2,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,1,1,2,0,0,2,0,2,1,1,1,0,0,0,0,1,1,0,0,1,0,2,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,1,1,1,2,1,1,1,2,0,1,1,1,2,2,1,2,1,1,0,1,0,0,0,1,0,1,0,0,0,2,0,0,0,0,2,1,0,0,0,0,0,0,2,0,0,0,1,1,0,1,1,0,2,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,1,0,1,0,1,0,0,0,1,0,1,1,2,0,0,0,1,1,0,1,2,1,0,2,0,0,0,1,0,0,1,0,0,1,1,2,2,1,1,2,1,1,0,0,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1,0,2,0,0,1,0,2,0,2,1,1,0,0,0,1,0,0,1,0,1,1,0,0,2,0,0,0,0,0,0,1,0,0,2,0,1,0,1,0,1,0,0,1,0,0,2,1,2,1,0,0,1,1,1,0,0,2,0,0,1,0,0,1,0,0,0,1,0,1,2,2,2,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0,1,0,2,0,1,0,1,1,0,2,0,1,0,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1 1,0,1,2,0,0,0,0,0,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,2,0,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,1,1,0,1,1,1,1,0,1,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,1,0,2,0,0,0,0,1,0,2,0,1,0,0,1,2,0,0,0,1,2,0,0,0,1,0,0,0,1,1,0,2,0,1,0,0,0,0,0,1,1,0,1,0,1,2,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,2,0,0,0,1,2,1,1,2,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0,0,0,2,2,0,1,1,1,0,1,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,2,2,0,0,0,1,0,1,0,1,2,0,2,2,1,0,0,0,0,0,0,0,1,1,2,1,0,2,0,0,0,2,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,2,1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,2,0,1,0,0,2,0,0,0,0,1,0,1,2,0,1,2,0,1,1,1,0,1,2,0,0,1,0,0,0,0,1,0,2,0,1,0,0,0,0,1,0,0,2,1,2,0,0,1,1,1,1,0,2,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,2,1,2,0,1,0,0,0,2,0,1,0,0,1,0,0,0,0,1,0,1,1,0,0,2,0,0,1,2,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,2,1,0,1,0,1,0,1,0,0,0,0,1,0,2,0,1,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0,1,2,0,2,1,0,0,0,0,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,1,2,0,0,2,0,1,0,1,1,1,2,2,1,0,1,0,2,0,0,2,0,0,1,0,0,0,1,0,0,0,1,1,2,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,1,1,1,1,1,0,1,1,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,2,1,0,0,1,1,1,1,1,0,1,1,2,0,1,0,1,1,0,1,0,1,1,1,0,2,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,2,0,0,0,1,0,1,0,0,1,1,1,0,2,0,1,0,1,1,0,2,0,0,1,0,0,0,0,0,1,0,0,0,2,0,1,0,0,1,0,0,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,2,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,2,1,2,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,2,1,1,0,1,1,0,1,0,1,0,0,2,0,1,0,2,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,1,2,0,1,0,1,0,2,0,1,0,0,0,0,0,0,1,1,0,1,2,1,1,1,2,2,1,0,1,1,0,0,0,1,1,2,1,0,2,1,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,1,1,0,0,2,0,1,1,2,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,2,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1 1,0,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,1,2,0,2,1,1,0,2,0,0,1,1,1,0,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,1,1,0,2,0,1,0,0,0,0,2,2,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,1,1,2,2,2,0,1,1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,2,1,0,0,0,0,0,1,0,1,1,0,2,0,1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,0,1,0,1,1,1,0,1,1,2,0,1,0,1,0,1,2,1,0,1,0,1,0,0,1,0,2,1,1,0,0,1,0,0,1,0,0,0,2,1,1,0,1,0,0,0,0,1,0,0,1,0,1,2,1,0,1,2,1,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,1,1,0,2,0,1,0,0,2,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,2,1,0,0,1,1,0,1,0,0,1,0,1,0,2,0,0,1,0,1,0,0,1,2,0,1,0,1,0,0,0,1,1,0,1,2,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,2,0,1,1,0,0,0,1,0,0,0,0,0,1,1,0,2,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,2,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,2,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,1,0,1,0,1,0,1,1,0,1,2,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0,1,2,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,1,0,1,0,2,2,0,0,1,1,0,2,0,1,1,0,0,1,0,0,1,1,1,0,1,2,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,2,1,1,0,1,1,0,1,2,0,0,2,1,2,0,2,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,0,1,0,1,2,2,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,2,0,0,0,1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,2,0,0,0,0,0,0,1,2,0,0,1,0,0,1,1,0,2,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,2,0,0,0,0,1,1,0,1,1,2,0,1,2,0,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,1,0,1,1,1,1,0,0,1,0,1,1,0,1,2,1,0,1,0,0,0,2,0,0,0,2,1,1,2,0,0,0,0,1,0,0,0,2,1,2,0,0,1,1,0,0,0,1,1,0,0,0,0,2,0,0,1,0,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,1,2,0,0,0,1,2,0,0,0,1,0,2,0,0,1,1,0,0,1,2,0,0,0,0,2,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,2,0,0,0,0,2,0,0,1,2,1,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1,2,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,2,0,1,2,1 2,0,1,1,0,0,1,0,1,2,1,0,0,0,2,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,2,0,1,0,1,0,0,0,2,2,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,0,1,0,2,0,0,2,1,1,2,1,0,0,0,0,1,1,0,0,1,0,1,1,1,2,0,0,0,1,0,0,1,0,0,1,0,2,1,1,0,0,1,0,0,0,0,1,1,2,1,1,2,0,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0,2,0,2,1,0,2,1,0,0,0,2,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,2,0,1,0,0,2,0,0,1,0,1,0,0,0,0,1,0,2,0,0,0,0,2,0,1,0,0,0,1,2,0,1,1,1,1,0,2,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,2,1,0,0,2,0,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0,2,1,0,0,2,0,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,2,1,0,0,0,1,1,0,0,0,0,0,0,1,1,1,0,0,1,0,0,2,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,2,0,1,0,1,0,1,0,2,2,2,2,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,2,1,0,0,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,1,1,0,0,1,1,0,2,2,0,1,1,1,2,1,0,0,0,0,1,0,0,1,2,1,0,0,1,0,0,1,1,1,0,0,0,0,0,2,0,0,0,0,2,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,1,0,2,0,2,0,2,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,2,1,1,0,0,1,0,0,2,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,2,1,2,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,2,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,1,1,1,1,0,1,0,1,2,1,0,1,2,0,2,0,0,0,1,1,1,0,0,1,0,0,2,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,0,2,1,0,1,0,2,0,0,1,2,1,0,1,2,0,0,1,0,0,1,2,0,2,1,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,2,0,1,1,1,0,0,0,2,0,0,0,0,0,0,2,0,2,2,1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,2,1,2,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,1,0,0,2,0,1,1,1,0,1,2,1,0,0,1,0,0,0,0,0,2,0,1,1,0,0,1,0,1,0,0,1,1,0,2,0,1,0,0,0,0,0,1,2,1,2,0,0,0,1,1,1,1,1,0,2,0,1,0,1,0,0,0,0,1,0,0,0,0,1,2,1,0,0,1,1,1,1,1,1,0,1,0,1,0,0,0,1,1,0,1,2,0,0,0,1,1,2,1,0,1,2,0,0,0,1,0,1,0,0,1,0,2,0,1,1,1,1,0,1,0,0,2,1,1,1,1,0,0,0,0,1,0,0,2,1,1,0,0,1,1,0,0,0,0,0,1,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,2,2,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,2,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,1,1,1,1,1 0,0,2,1,2,0,0,0,0,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,2,0,0,0,2,0,0,2,0,1,1,0,0,0,0,1,1,1,1,1,1,0,2,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,2,1,1,0,0,1,0,0,1,0,1,2,0,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0,2,0,2,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0,2,0,0,1,0,0,1,0,0,0,0,1,1,1,0,1,1,2,0,1,1,0,1,0,1,2,0,0,0,0,0,0,1,0,1,2,0,2,0,0,0,0,1,0,0,1,2,0,0,0,0,0,1,2,1,0,0,1,0,0,1,0,0,0,0,0,1,2,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,0,2,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,2,2,0,0,1,0,0,0,1,0,1,0,0,1,0,0,2,1,2,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,2,0,0,1,0,0,2,1,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,2,1,0,0,0,0,1,1,0,0,0,0,1,0,2,1,0,2,1,0,2,0,0,0,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,1,2,1,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,1,2,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,2,0,0,1,1,0,0,0,0,0,0,0,1,0,1,2,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,2,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,2,1,0,1,0,0,0,0,2,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,1,1,0,1,1,0,1,2,0,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,2,0,0,0,0,0,2,0,2,1,0,0,1,0,0,1,1,0,1,1,1,1,0,0,2,1,0,0,1,1,1,0,1,0,1,2,0,1,1,0,0,1,1,2,0,1,1,0,0,0,0,0,0,0,0,2,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,2,1,1,0,0,0,1,1,2,1,1,2,1,0,1,0,2,1,0,0,0,1,0,0,0,2,2,0,0,1,0,2,0,0,0,0,0,1,0,0,0,2,1,0,1,1,0,0,0,0,0,1,2,1,1,0,2,0,1,0,1,0,1,0,0,0,1,0,1,1,1,0,2,0,0,1,1,0,0,1,1,0,0,0,1,0,1,2,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,2,0,1,0,0,0,1,1,1,0,0,1,1,2,1,0,1,0,0,1,1,2,1,1,0,2,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,1,2,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,2,0,0,0,1,1,0,1,0,0,0,2,0,0,0,1,1,2,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,1,2,0,0,0,0,0,0,2,1,1,0,1,0,1,0,0,0,0,1,2,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,2,0,0,2,0,0,1,2,1,2,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,2,2,0,0,1 1,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,1,2,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,2,2,1,0,1,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,2,2,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,1,1,1,0,0,1,2,1,1,0,0,1,0,1,0,0,1,2,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,2,1,2,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,2,0,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0,2,0,1,0,1,2,1,1,0,0,0,1,0,1,0,0,2,0,0,0,1,0,0,1,0,2,1,1,2,0,0,0,2,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,2,1,2,2,0,1,1,1,0,2,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,1,1,1,2,0,1,0,1,1,1,0,0,2,0,0,1,0,1,2,0,1,0,2,1,1,1,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,2,0,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,1,1,0,1,1,1,2,0,0,0,0,0,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,2,0,1,2,1,1,0,0,0,0,2,1,0,1,0,1,0,1,1,2,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,2,1,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,2,0,1,0,0,1,1,2,0,0,1,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,2,1,0,0,1,0,2,2,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,2,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,2,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0,2,0,0,1,1,0,1,2,0,1,0,1,2,2,0,2,0,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,2,0,0,0,1,0,1,0,1,0,2,0,0,0,1,0,0,2,1,1,0,1,0,1,1,1,0,2,0,0,2,0,0,2,0,0,1,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,2,1,1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,2,1,1,0,1,0,2,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,1,0,1,2,0,0,1,2,1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,2,0,1,0,1,0,0,0,2,0,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0,1,2,0,0,0,0,0,0,1,0,0,2,0,1,0,0,0,2,1,1,2,0,1,1,1,1,0,0,2,0,0,1,1,0,0,1,0,0,1,1,0,1,2,0,0,0,1,1,1,0,2,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,1,0,1,0,2,0,0,0,0,2,0,0,0,1,2,0,1,1,0,1,0,0,0,2,1,1,0,0,1,1,0,1,2,1,0,0,2,1,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,2,0,0,0,0,1,1,1,1,0,0,0,0,0,0,2,0,1,1,1,1,0,0,1,2,0,0,0,0,1,1,0,0,0,1,2,0,0,0,0,1,1,1,0,1 1,0,2,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,1,0,1,0,0,0,2,0,0,1,1,0,1,0,1,0,1,1,2,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,2,2,0,0,0,0,2,2,1,0,1,0,2,1,1,2,0,0,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,2,1,0,1,0,2,0,0,0,0,0,2,0,0,1,1,0,0,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0,2,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,0,1,1,1,2,2,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,2,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,2,1,1,0,1,1,0,0,2,2,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,2,1,0,0,1,1,0,1,0,2,0,0,0,1,0,0,0,2,1,0,0,1,2,0,0,0,1,2,1,0,0,1,0,0,0,2,1,0,1,0,0,0,0,0,2,1,0,0,0,0,0,1,1,1,0,0,0,2,0,1,2,0,0,2,1,0,1,1,0,1,0,0,2,0,1,0,1,0,0,1,0,0,1,1,0,2,0,1,1,0,1,1,2,0,2,1,0,0,0,2,1,2,1,1,0,1,0,2,0,0,1,0,1,1,0,0,0,2,0,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,2,1,1,0,0,1,1,0,2,1,0,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,2,0,0,0,1,0,0,1,0,0,1,0,1,0,2,0,0,0,1,1,0,2,2,0,0,1,0,1,2,1,1,1,0,0,0,0,0,2,1,1,2,0,1,2,0,0,0,1,0,0,2,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,0,1,0,2,0,0,1,0,0,1,0,0,0,1,0,2,1,0,2,1,0,0,2,0,1,0,1,1,0,1,0,0,1,0,2,0,1,1,0,0,1,1,0,0,0,0,1,2,0,0,1,0,1,0,0,1,0,1,2,1,2,2,0,0,0,1,1,0,0,2,0,2,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,1,2,0,0,0,1,2,1,1,1,0,0,1,0,2,0,1,0,0,0,0,2,1,0,1,0,0,0,0,0,0,2,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,2,0,0,1,0,0,1,1,0,0,0,1,1,0,1,2,0,2,2,0,2,2,0,1,1,1,0,1,1,1,1,2,0,1,0,1,1,1,0,0,0,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,1,1,0,0,1,0,1,0,2,1,0,0,1,0,1,0,1,1,0,0,2,0,0,2,1,0,0,0,0,0,2,0,0,0,1,1,1,2,0,0,0,0,1,1,1,0,0,1,1,1,0,0,2,0,2,1,1,0,1,0,0,1,0,0,0,2,0,2,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,2,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,1,1,1,2,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,1 0,0,1,1,0,0,2,0,1,1,2,0,0,2,2,0,0,0,0,0,1,0,2,0,0,1,2,0,0,0,1,0,0,1,0,0,0,1,1,0,2,0,1,2,1,0,0,1,1,1,2,0,1,0,1,0,1,2,2,1,0,0,0,0,0,1,1,2,1,1,1,1,2,2,2,2,2,2,0,0,1,0,0,1,2,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,2,1,1,0,0,0,0,1,0,1,0,2,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,1,1,1,0,2,0,1,1,1,2,0,1,0,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,2,0,1,0,1,0,1,1,1,2,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,1,0,2,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,2,0,0,0,2,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,2,0,1,2,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,1,2,0,0,0,2,0,0,1,2,0,0,2,0,1,2,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,2,0,0,1,2,0,1,0,0,2,0,0,0,1,1,1,0,0,0,0,1,2,1,0,0,1,1,0,0,0,0,1,1,1,1,2,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,1,1,1,0,0,0,0,1,0,0,2,0,1,0,0,0,1,0,0,0,2,1,0,0,1,1,1,2,0,0,1,0,0,1,0,2,1,0,0,1,0,0,0,0,1,0,0,1,0,2,0,1,0,1,0,0,0,0,2,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,1,2,1,0,0,0,0,0,0,1,0,1,0,1,2,0,2,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,2,0,0,1,1,1,0,1,0,0,2,0,0,0,0,0,0,1,0,2,1,1,1,0,0,0,0,1,2,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0,1,1,1,0,0,2,2,0,2,0,1,1,0,0,1,1,0,1,1,0,0,1,0,2,2,1,0,0,1,1,0,1,1,1,2,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,2,0,1,1,0,2,0,0,1,0,0,0,1,0,0,2,0,1,0,1,0,2,0,0,0,0,1,0,1,1,0,0,2,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,2,0,1,0,1,1,1,1,1,0,0,1,0,1,1,0,2,0,0,2,0,1,0,2,1,0,0,0,0,2,0,1,0,2,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,2,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,0,0,1,2,0,0,2,1,0,2,0,1,1,1,0,1,0,0,1,0,2,0,0,1,0,1,0,2,0,0,1,1,1,1,2,2,1,2,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,1,1,1,2,0,0,2,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,2,0,1,0,0,1,0,0,0,0,0,2,2,2,1,1,0,0,1,0,0,0,2,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,2,1,1,0,0,1,0,0,0,1,2,2,0,1,0,0,0,1,0,0,0,0,2,1,2,1,2,0,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,2,1,1,0,1,0,1,0,0,0,0,0,0,0,1,1 0,0,1,1,2,1,2,2,1,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,2,0,1,0,0,0,0,2,1,1,0,1,0,0,0,0,1,2,0,0,2,1,0,0,1,1,0,0,0,0,1,0,0,2,0,0,1,0,2,0,0,0,1,2,0,0,0,0,0,2,1,0,2,0,1,0,1,0,0,0,0,1,1,0,0,0,1,1,1,1,1,2,0,0,0,2,1,1,0,1,2,1,0,2,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,2,1,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,2,0,1,1,2,0,0,2,0,1,0,0,1,1,1,1,1,1,2,2,1,0,1,2,1,0,0,1,1,1,0,0,0,1,2,0,0,1,1,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,1,2,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,2,2,0,1,0,1,2,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,2,0,0,0,0,2,0,0,1,0,1,0,1,1,1,1,0,0,2,0,0,0,0,2,1,1,1,0,0,0,0,1,0,2,0,1,1,0,2,1,1,0,2,1,0,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,2,0,0,1,0,2,0,1,2,0,0,0,1,2,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,2,1,0,0,0,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,1,1,0,1,1,0,2,1,1,0,0,1,0,1,1,0,0,0,0,2,1,0,0,0,0,1,2,0,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,2,0,1,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,2,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,2,0,1,0,0,0,1,0,2,1,1,2,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,1,1,2,1,0,0,0,0,0,1,1,0,1,2,0,0,1,1,0,1,0,1,1,0,0,2,0,0,1,1,1,1,0,2,0,0,0,0,1,0,2,0,2,0,0,0,0,1,0,0,0,1,0,2,1,0,0,1,0,0,0,1,0,0,1,1,1,1,1,2,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,2,1,0,0,0,0,0,2,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,1,2,0,0,1,0,0,1,0,0,1,0,1,1,0,1,1,0,1,2,0,0,0,0,1,0,0,1,1,0,0,0,0,2,0,0,0,2,0,2,1,0,0,0,0,0,1,0,0,0,0,2,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,1,0,0,2,1,2,1,1,0,0,0,0,1,1,0,0,1,0,0,1,2,1,1,1,2,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,2,0,0,0,0,2,2,0,1,1,0,0,0,0,1,0,0,2,0,0,1,0,1,0,1,0,0,0,1,1,1,0,0,2,0,0,1,0,0,0,1,0,0,0,0,2,1,0,0,2,1,1,2,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1 1,0,1,1,0,1,0,0,0,2,1,1,0,2,0,1,1,0,0,0,0,0,0,0,2,0,1,1,0,1,0,0,2,1,0,0,2,0,1,0,1,1,2,0,2,0,0,2,0,0,1,0,1,0,1,0,0,1,1,2,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,2,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,1,2,0,1,0,1,2,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0,2,0,1,2,0,0,0,1,2,2,0,2,1,0,2,0,0,0,1,2,0,0,0,0,0,1,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,2,0,0,1,0,2,1,1,0,1,1,1,0,2,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,1,1,0,0,0,1,1,2,0,0,2,0,0,0,1,0,0,1,2,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,1,2,0,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,2,2,0,0,0,0,1,1,0,0,2,0,1,2,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,1,1,1,0,1,1,1,0,1,1,0,1,1,0,2,2,0,2,1,0,1,0,0,1,0,2,0,1,0,1,0,1,0,1,0,2,0,0,1,1,1,0,0,1,0,1,0,0,2,1,1,0,1,0,0,2,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1,2,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,2,0,0,0,0,1,1,1,1,0,0,1,2,0,0,0,2,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,2,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,1,0,1,1,1,2,0,0,0,0,0,0,2,1,1,0,0,2,0,0,1,0,0,1,0,1,0,0,0,2,0,0,2,0,1,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,2,0,0,1,1,1,2,0,0,1,0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,2,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,2,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,2,2,0,1,1,0,0,0,0,1,0,0,0,2,0,1,1,0,1,1,2,1,0,0,0,1,0,0,1,0,0,0,0,0,2,0,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,0,2,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,2,0,0,1,0,0,0,1,0,1,1,1,0,1,2,0,2,0,1,0,0,1,0,0,0,0,1,2,0,0,0,2,0,0,1,1,0,2,1,0,0,0,2,1,1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,2,1,0,0,0,1,2,0,1,0,2,0,0,0,1,1,1,0,0,1,2,2,0,0,0,2,0,0,2,1,2,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,2,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,2,0,1,1,2,1,0,1,0,0,0,2,2,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,1,2,0,2,2,2,0,2,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,2,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,2,0,2,0,1,0,1,0,2,1,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,1 1,0,1,2,0,2,0,0,1,2,2,0,1,0,0,2,0,0,0,0,0,0,0,0,2,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,2,0,1,1,1,1,0,2,0,1,0,0,0,2,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,2,2,2,1,0,1,0,1,0,0,0,0,1,0,1,1,1,2,1,0,0,0,2,0,2,0,1,1,0,0,1,1,0,0,1,0,0,0,2,1,0,0,0,1,0,1,1,0,0,0,1,1,1,1,0,2,0,1,1,0,1,0,1,1,0,2,1,0,2,0,2,0,1,1,0,1,1,0,1,0,1,2,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,1,1,0,0,1,0,2,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,2,0,0,1,1,1,1,1,1,0,1,1,2,0,0,1,0,0,1,1,0,1,0,2,2,0,2,0,1,0,0,0,1,1,2,0,0,0,0,0,0,0,2,0,0,0,2,1,0,1,0,0,1,1,1,1,2,0,1,1,1,0,0,1,0,0,1,1,1,1,1,2,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,0,2,0,0,1,0,0,0,0,0,2,1,0,2,0,0,1,0,2,0,0,1,1,1,0,1,1,0,0,1,1,0,2,0,1,2,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,1,1,0,0,0,0,2,1,1,1,0,1,0,2,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,2,2,2,2,0,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,0,0,0,2,0,0,1,1,0,0,1,0,0,2,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,1,2,0,0,0,0,0,1,0,0,2,2,2,1,2,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,2,1,2,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,1,0,0,1,2,0,0,0,0,1,2,2,0,1,1,0,1,1,1,2,0,0,0,0,1,2,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,1,0,2,0,0,0,0,1,0,0,1,0,2,0,0,0,1,2,0,1,1,1,0,0,2,0,1,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0,1,1,2,1,2,1,0,2,1,1,2,0,0,2,1,2,1,1,0,1,0,1,2,0,1,1,2,0,0,0,0,1,0,0,0,1,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,2,1,1,1,0,1,1,2,2,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0,2,0,0,0,0,2,2,0,0,1,1,0,0,0,2,0,0,0,0,0,1,2,0,1,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,1,0,2,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,2,0,0,0,2,0,1,1,2,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,2,0,2,0,0,0,1,1,1,1,0,1,0,0,2,0,2,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,2,0,0,0,0,0,0,1,2,0,1,0,1,1,1,1,0,0,0,1,0,0,0,0,1,2,0,1,0,1,0,2,1,0,0,0,2,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1 1,0,0,1,2,0,0,0,0,1,2,0,0,0,1,0,0,2,1,0,1,1,1,0,1,1,0,2,0,0,0,0,0,0,1,0,2,0,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,1,2,0,2,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,2,0,1,0,0,0,0,1,0,1,1,2,0,0,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,1,1,1,0,0,1,1,2,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,2,0,1,0,1,1,0,1,0,0,1,0,1,2,0,1,0,0,2,0,1,2,1,0,0,0,0,0,1,0,2,0,1,1,2,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,2,0,1,2,1,2,1,1,1,2,0,0,0,2,1,0,2,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,2,1,0,0,0,0,1,0,2,0,0,1,0,0,1,0,0,0,1,1,1,0,0,0,2,0,0,2,0,0,2,0,0,0,0,2,0,1,1,0,2,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,2,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,1,1,2,0,0,0,0,0,1,0,1,2,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,2,1,1,0,0,0,0,0,1,0,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,1,1,2,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,1,2,2,0,0,2,0,1,1,0,1,0,2,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,1,0,1,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,2,0,0,1,1,0,0,0,0,0,1,0,1,2,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,1,2,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,0,1,1,1,1,0,0,0,2,0,0,1,1,0,0,2,0,0,1,2,0,2,0,0,1,0,0,0,1,1,1,1,2,0,1,0,0,0,1,0,1,1,1,2,0,0,1,2,2,0,0,0,1,0,1,1,0,1,1,0,0,1,1,1,1,1,1,0,0,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,2,1,0,1,0,0,1,0,1,0,2,0,2,1,1,2,1,2,0,2,1,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,2,0,0,0,0,1,1,0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,2,1,1,0,1,1,0,0,1,1,2,0,0,1,1,1,0,1,1,0,0,0,2,0,2,0,1,0,0,1,1,0,0,1,0,0,1,2,0,0,2,1,0,0,1,1,0,0,0,2,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,2,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,2,1,1,0,0,1,0,1,0,2,0,1,0,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,2,1,2,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,1,1,1,1,1,1,0,0,0,1,0,2,2,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1 2,0,1,2,0,1,0,0,0,0,1,1,1,1,0,2,0,0,0,0,0,0,2,1,1,0,1,1,0,0,2,0,1,1,0,0,1,0,0,0,1,1,1,1,2,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,2,1,0,0,0,0,0,1,0,1,0,2,1,1,1,0,0,0,2,2,1,0,2,0,1,1,0,1,2,2,0,1,1,2,0,1,0,0,0,0,0,1,2,1,1,2,0,0,0,0,1,0,0,1,1,1,1,2,0,0,1,0,1,0,1,0,1,0,0,0,1,2,1,1,0,0,2,1,1,0,0,0,0,1,0,1,0,2,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,2,0,1,2,0,1,0,1,0,0,0,0,1,1,0,2,2,0,0,0,2,0,0,0,0,0,2,1,0,0,0,0,1,1,0,0,2,2,1,0,1,0,2,1,0,1,1,0,0,0,0,1,0,0,0,0,0,2,2,0,1,1,0,2,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0,1,0,0,0,0,2,2,0,1,0,0,0,0,0,1,0,1,0,0,0,2,0,0,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,2,0,1,1,0,1,0,0,0,1,1,0,0,2,0,0,1,0,0,0,0,2,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,2,0,0,1,1,0,1,0,0,0,0,2,0,0,1,2,2,0,0,1,1,1,2,1,2,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,2,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,1,0,0,1,2,1,0,0,0,0,1,2,1,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,1,1,1,1,2,0,0,1,1,0,1,2,0,1,1,0,0,0,0,1,1,2,1,1,1,1,0,1,2,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,1,0,0,2,0,0,1,1,1,1,0,2,0,1,1,2,0,0,1,0,0,1,0,1,0,2,0,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,2,0,0,0,1,0,0,0,1,0,0,1,2,0,2,1,1,2,1,1,0,0,0,1,1,1,1,0,0,0,0,2,0,0,1,0,1,0,1,2,1,0,0,0,0,0,1,1,0,1,0,0,0,0,2,2,1,1,2,0,1,1,0,0,0,1,1,0,0,0,2,0,0,0,2,0,0,1,0,2,1,0,0,1,0,0,0,1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,2,1,0,0,0,1,0,0,2,0,0,2,0,2,2,0,0,0,0,0,1,1,1,1,0,0,1,1,2,0,0,1,0,0,1,0,1,0,0,0,0,0,1,2,0,1,0,0,1,0,0,0,0,1,1,2,0,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,2,1,2,0,1,1,0,1,1,0,0,0,0,0,1,0,0,2,1,0,0,0,1,0,0,1,1,1,1,0,0,1,0,1,2,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,2,0,0,2,2,0,1,1,2,0,0,0,1,1,0,2,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0,1,1,0,0,2,1,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,2,1,0,0,0,1,2,0,1,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,1 1,0,0,1,0,0,1,0,2,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,2,0,1,1,0,0,2,2,1,0,1,0,1,1,1,0,2,1,0,0,0,0,0,0,0,1,1,1,0,1,0,1,2,1,0,1,0,0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,2,1,1,1,0,1,1,1,1,0,0,1,1,1,0,2,0,0,1,0,0,2,1,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,2,0,1,2,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,2,1,0,2,0,0,1,0,2,1,0,0,0,1,1,0,2,1,0,2,1,0,2,0,0,0,0,1,0,0,0,1,1,2,1,1,1,0,2,1,0,0,1,1,0,1,1,0,0,0,0,0,1,2,2,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,2,0,0,0,0,1,0,1,2,1,1,1,0,0,0,0,0,2,0,1,2,1,0,2,1,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,0,1,1,1,1,1,1,0,0,1,2,0,1,1,0,0,1,0,0,1,0,0,2,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,2,0,0,1,0,0,0,1,1,1,1,0,2,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,2,0,0,0,0,0,1,2,0,0,1,1,0,0,0,2,0,0,1,0,0,0,0,2,1,1,0,0,2,0,1,0,0,1,1,2,0,0,0,0,1,1,0,2,1,1,2,0,0,0,0,0,0,0,2,0,0,0,1,1,1,2,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,2,0,0,0,0,1,0,2,2,0,0,0,0,0,0,0,0,2,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,1,2,1,1,0,1,0,0,0,1,0,0,0,0,2,0,0,1,1,0,0,0,1,2,0,2,0,0,0,0,2,1,0,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,2,1,2,1,0,1,0,0,1,2,0,0,1,0,1,0,1,0,0,0,0,0,0,0,2,0,0,2,2,0,0,0,0,0,1,1,2,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,2,0,1,0,1,0,0,1,0,0,0,0,2,0,1,0,2,1,1,1,1,0,2,0,1,1,1,1,0,1,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,2,1,0,0,1,1,0,0,2,0,0,0,2,1,1,0,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,2,1,0,0,1,0,1,0,1,1,0,0,1,1,0,2,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,1,0,1,0,0,1,1,1,0,2,1,1,1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,2,0,1,0,0,1,1,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,2,0,2,0,0,0,0,0,1,0,2,1,0,0,0,0,0,1,1,0,2,0,0,0,1,1,1,0,0,1,1,0,0,2,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,1,2,0,0,0,2,0,0,0,2,1,1,1,0,1,0,0,2,0,1,1,0,0,0,0,1,1,2,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,2,1,0,1,1 0,0,2,0,0,0,1,0,0,2,1,1,1,0,1,1,0,1,1,1,0,0,2,0,1,1,0,2,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,2,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,2,0,1,1,0,0,1,0,0,1,1,2,2,0,0,1,0,1,0,0,0,2,2,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,2,1,0,1,0,0,0,0,0,0,0,1,1,1,0,1,1,0,2,0,0,1,1,0,0,0,1,1,0,2,0,0,0,0,1,0,1,0,0,1,0,1,1,2,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,0,2,0,0,0,0,0,1,1,0,1,1,0,0,1,2,1,0,0,0,2,2,0,1,0,1,2,0,2,1,0,0,0,0,0,0,0,1,0,1,0,2,1,0,0,2,0,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,2,1,1,0,0,0,2,1,0,1,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,2,2,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,2,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,1,2,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,2,0,1,1,0,0,0,1,0,1,1,2,0,1,0,2,1,0,0,0,0,0,0,0,1,0,2,0,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,1,2,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,2,0,0,0,1,1,0,1,0,1,0,0,1,0,0,2,2,0,1,0,0,0,0,2,1,0,2,0,1,1,0,1,2,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,1,2,2,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,1,0,0,1,2,1,1,0,0,0,0,1,1,2,0,1,1,1,2,0,0,0,0,1,0,0,0,2,0,0,1,1,0,1,0,1,2,1,2,0,2,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,1,2,1,0,2,1,1,0,1,1,0,1,0,0,1,2,0,2,0,2,0,0,0,0,2,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,2,0,0,0,1,0,0,1,1,0,0,0,2,1,0,1,0,0,1,2,0,1,0,0,1,1,1,0,0,1,0,2,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,2,0,2,0,1,1,0,2,1,1,0,0,1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,2,1,0,1,0,1,0,0,0,0,0,2,2,2,1,0,0,0,0,0,2,1,0,0,2,1,2,1,0,1,1,2,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,2,1,0,0,0,0,0,2,0,1,1,0,0,1,1,1,1,0,0,0,2,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,2,0,0,1,1,1,0,0,1,1,0,0,1,0,0,2,1,2,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,2,0,0,0,0,0,2,0,0,1,0,0,1,0,1,2,0,0,0,1,1,0,2,2,0,2,0,0,0,2,0,0,0,0,1,0,0,0,0,0,1,2,0,0,1 1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,2,0,1,0,1,0,1,0,0,1,2,0,2,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,1,1,0,1,0,0,0,1,1,1,1,2,1,1,0,0,0,0,0,0,1,2,1,0,1,0,1,0,0,0,0,1,0,0,2,0,1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,2,0,1,0,2,0,0,1,0,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,2,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,2,0,1,0,0,0,2,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,2,2,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,2,1,0,0,0,1,0,1,0,1,1,1,2,0,2,1,0,1,1,1,0,0,0,2,1,1,0,1,0,0,2,1,0,1,0,0,0,2,0,0,0,1,1,0,1,1,0,1,1,0,0,2,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,2,0,0,0,1,0,1,1,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,2,1,1,0,1,1,1,0,0,1,0,0,0,1,2,1,0,0,2,0,0,1,2,0,0,1,1,0,2,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,2,0,2,1,1,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,2,1,1,0,0,2,1,1,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,2,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,1,0,0,1,2,0,0,0,0,1,1,1,0,0,1,2,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,2,0,2,1,1,1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,2,1,1,1,1,1,0,0,0,0,2,0,1,2,0,0,0,0,0,0,1,1,0,2,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,1,2,0,1,0,1,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,2,1,0,1,0,0,1,0,0,0,2,0,0,0,1,0,1,1,0,1,1,0,0,1,0,2,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,2,2,1,0,0,1,1,0,1,0,2,1,0,1,0,1,2,0,0,0,1,2,0,1,0,0,0,2,0,0,2,0,1,0,1,1,0,0,2,0,0,0,0,1,0,0,0,2,0,0,2,2,2,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,2,0,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,1,1,1,2,2,1,0,0,0,2,0,0,1,0,0,0,0,0,1,1,2,0,1,0,1,2,1,2,1,0,0,2,0,1,1,0,1,0,0,0,2,0,0,2,0,0,0,1,0,0,2,1,0,1,1,1,0,1,0,2,0,0,0,0,0,1,1,0,1,0,0,1,2,0,1,1,0,1,1,0,1,0,0,1,0,1,2,0,0,1,0,1,0,0,0,2,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1 2,0,1,0,0,0,0,1,0,1,2,0,1,1,0,1,0,0,0,0,0,1,2,0,0,1,2,2,0,1,1,0,1,0,1,0,2,0,1,1,2,0,0,1,2,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,2,1,0,1,0,2,2,0,1,0,1,0,0,0,0,0,2,2,1,0,0,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0,2,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,2,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,2,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,2,0,1,0,0,0,1,0,2,0,1,0,1,1,0,0,2,0,0,0,1,0,0,2,0,0,0,1,1,1,0,1,0,0,0,1,0,1,0,1,2,0,0,0,0,0,1,1,1,0,2,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,2,1,0,2,1,1,0,1,0,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,2,1,1,0,0,2,0,1,1,1,2,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,1,0,0,1,0,0,1,2,1,0,0,2,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,1,0,2,0,1,0,2,0,1,0,0,1,2,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0,2,0,0,1,0,0,0,1,0,2,1,0,2,0,2,0,0,1,0,2,2,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,2,0,0,0,1,0,0,0,1,0,0,0,1,2,1,2,2,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,2,0,1,0,0,1,1,0,1,0,0,1,2,1,0,0,1,1,2,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,1,1,1,1,0,0,1,2,1,0,2,2,0,1,2,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,2,1,2,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0,2,0,1,0,0,0,0,1,2,0,0,0,0,0,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,0,1,0,1,2,1,2,0,1,0,1,0,0,0,2,0,0,1,0,0,2,1,1,1,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,1,2,0,1,2,0,1,0,2,1,1,0,0,0,0,1,2,2,2,1,2,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,0,1,2,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,1,1,2,0,0,0,0,1,0,2,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0,1,1,2,0,0,0,0,0,1,2,0,0,0,0,1,1,0,2,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,0,0,1,0,1,1,0,0,2,0,0,0,2,0,2,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1 1,0,1,1,0,0,1,0,1,1,1,0,0,2,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,1,1,1,0,1,1,0,0,1,0,2,0,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,1,2,0,2,0,1,0,0,0,1,2,0,0,0,0,0,1,1,0,1,0,2,0,2,1,2,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,2,0,2,0,1,2,1,0,0,1,2,0,0,2,1,1,1,0,0,1,0,0,0,0,1,2,0,0,0,1,1,0,2,0,1,0,0,0,0,0,0,2,0,0,0,0,1,1,0,1,1,1,1,1,0,0,1,2,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,2,0,0,1,1,0,0,0,0,0,0,0,1,1,2,0,0,0,0,1,1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,2,0,1,0,0,0,0,1,2,1,1,1,1,0,0,1,1,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,1,2,0,0,1,0,1,1,0,0,0,0,2,0,2,1,1,1,0,0,1,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,2,1,1,1,0,1,2,1,2,0,0,1,1,1,1,0,1,0,1,1,0,2,0,1,2,2,1,0,1,1,1,0,0,0,0,1,0,0,0,2,0,2,0,0,2,0,0,1,0,1,0,0,1,1,0,0,2,0,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,2,2,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,2,1,1,1,0,0,0,0,1,2,0,1,0,0,1,0,0,1,0,0,2,0,0,0,1,0,1,1,0,2,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,2,0,1,1,1,1,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,1,0,0,0,1,0,0,1,0,2,1,0,1,1,0,1,1,0,0,2,0,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,2,0,0,0,0,1,2,1,0,1,0,1,1,2,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,2,1,1,0,0,0,0,0,0,2,0,1,0,1,2,0,1,0,2,1,0,1,0,1,1,2,0,0,0,1,1,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,1,0,0,1,0,0,0,2,0,0,0,1,0,0,0,1,1,0,0,1,2,1,0,0,0,1,1,0,0,2,0,0,0,0,0,0,2,0,2,0,2,0,1,1,0,0,0,1,0,0,2,0,1,1,1,1,0,0,1,0,0,1,2,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,2,0,1,0,2,0,1,1,1,0,2,1,0,0,0,1,0,1,0,0,2,0,0,0,1,1,0,0,1,0,0,0,2,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,2,1,0,0,1,0,0,1,1,0,1,1,0,1,1,1,0,1,1,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,1,0,1,2,2,0,0,0,1,0,0,1,1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0,1,2,0,1,0,0,0,2,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,2,1,1,0,0,1,0,0,2,1,0,1,0,0,0,2,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,1 0,0,0,1,0,1,1,2,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,1,1,1,1,0,1,2,0,1,1,0,0,2,0,0,0,0,0,2,1,2,0,0,0,0,0,1,0,0,0,1,0,2,1,0,0,1,0,0,1,1,0,0,1,1,1,1,0,2,1,1,1,0,2,0,0,0,0,0,0,0,0,2,0,1,0,1,0,0,0,1,2,1,1,2,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,2,2,1,1,0,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,1,0,2,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0,1,1,2,0,0,2,1,0,2,0,0,0,0,0,1,1,2,0,0,0,1,0,0,1,1,1,1,1,2,1,0,1,0,2,0,0,1,1,1,1,1,0,1,0,0,0,1,1,0,2,0,2,0,1,1,1,1,0,0,0,0,0,1,0,2,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,2,1,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,2,0,0,0,1,0,1,0,0,0,0,0,1,2,0,1,2,0,0,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1,0,2,0,0,0,0,2,1,1,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,2,1,0,2,0,0,2,0,0,2,1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,1,1,1,2,1,1,1,2,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,2,0,1,2,0,0,1,1,0,0,0,0,1,0,0,2,0,0,1,0,1,0,1,1,0,1,1,1,0,1,0,1,0,0,2,1,1,1,0,0,0,0,2,0,1,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,2,1,0,1,0,0,1,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,2,0,0,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,2,1,0,0,0,0,1,0,2,1,1,0,0,1,0,0,0,1,2,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,2,2,0,0,0,0,0,1,1,0,1,1,1,1,1,1,0,1,1,2,1,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,2,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,2,2,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,2,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0,1,1,1,1,0,1,1,1,0,2,0,0,0,1,1,0,2,2,0,0,1,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,2,0,1,2,0,2,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,2,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,2,0,0,1,0,0,1,0,0,0,2,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,2,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,2,1,0,2,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,2,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1 0,0,0,1,0,0,1,1,0,1,2,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,2,2,0,0,1,0,2,1,0,0,1,0,1,2,1,1,1,2,1,0,1,1,2,0,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,2,0,0,1,0,1,0,0,0,0,1,2,0,1,0,1,1,0,0,1,0,0,0,1,1,1,0,1,0,2,1,0,1,1,1,0,0,0,0,1,1,0,2,0,2,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,2,0,0,1,1,1,2,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,2,0,1,0,1,0,0,2,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,2,1,1,0,2,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,2,1,2,1,0,1,0,0,2,0,0,2,0,0,0,1,2,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,1,0,2,1,1,2,0,0,0,1,0,1,2,2,1,0,0,2,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,2,2,1,1,1,0,0,2,0,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,1,1,1,2,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,2,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,2,1,1,1,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,2,1,0,1,0,1,0,1,0,0,0,0,2,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,2,1,1,1,0,1,2,0,2,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,1,0,1,0,2,2,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,2,0,0,0,2,0,2,1,0,1,1,1,1,0,1,1,0,0,2,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,0,1,0,0,1,2,0,0,1,1,1,1,0,0,0,0,1,0,2,0,0,0,1,0,0,2,1,0,2,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,2,1,1,0,0,0,1,1,2,0,1,0,0,1,1,1,0,1,0,2,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,2,2,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,2,2,0,1,2,0,0,0,0,0,1,0,0,2,0,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,2,0,1,2,0,1,0,1,0,0,0,0,0,1,1,1,1,2,2,1,0,0,2,0,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,2,2,0,1,1,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,2,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,2,2,1,0,0,0,0,1,2,1,0,0,0,1,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,2,2,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0,2,0,1,0,1 2,0,0,2,1,0,0,1,1,1,2,2,0,0,2,1,0,0,1,0,0,1,0,0,0,1,1,1,0,0,2,0,2,0,0,0,0,1,0,1,2,2,1,1,0,1,1,2,0,0,1,0,0,0,2,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,2,1,0,2,0,2,0,0,2,0,0,0,0,0,0,1,0,1,2,2,1,1,1,0,0,0,2,1,0,0,2,0,1,0,0,1,2,1,1,1,1,0,0,1,1,1,0,0,1,1,2,0,0,2,0,1,2,0,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,2,0,0,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,2,1,0,1,0,1,0,0,1,1,0,1,2,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0,1,2,1,0,0,1,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,1,1,0,0,2,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0,2,0,0,0,0,2,0,0,0,1,0,0,0,1,0,2,0,2,0,1,1,1,1,0,1,0,0,0,0,2,0,2,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,2,1,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,2,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1,1,2,1,2,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,1,1,1,0,1,0,2,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,2,1,1,0,1,0,0,0,0,1,1,2,0,0,0,0,0,1,1,1,0,1,0,2,0,0,1,2,1,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0,1,1,0,2,2,1,0,0,0,1,1,2,0,1,0,0,0,0,0,0,0,1,0,2,2,0,1,1,2,1,1,2,0,0,0,0,0,1,1,1,0,0,1,1,2,0,2,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,1,1,0,1,2,0,0,0,0,1,2,0,0,1,0,1,0,1,0,1,0,2,1,1,0,1,0,1,0,2,0,1,2,0,2,0,1,0,0,1,1,0,1,0,1,1,1,1,1,2,1,2,0,0,0,0,0,2,0,0,1,1,1,2,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,1,0,2,2,1,0,0,1,1,1,0,1,2,0,0,0,0,0,1,0,0,2,2,0,0,0,1,0,0,1,1,0,0,1,0,1,1,2,0,0,1,0,0,1,1,1,1,2,0,0,0,1,0,0,1,0,0,1,0,2,1,0,1,0,1,0,1,2,0,0,1,1,0,1,2,0,0,0,1,0,0,1,0,0,1,0,0,2,0,1,0,1,0,1,0,0,1,2,2,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,1,2,2,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,1 1,0,2,1,0,0,0,1,0,1,0,0,0,2,1,0,0,1,1,0,0,0,2,1,0,1,0,1,0,1,2,0,0,0,0,0,1,1,0,0,0,1,0,1,1,1,1,0,0,1,2,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,1,1,2,0,1,1,0,0,0,0,0,1,1,0,2,0,0,0,0,2,1,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,2,2,2,0,1,0,0,0,1,0,0,1,0,1,2,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,2,0,0,1,0,1,0,0,0,0,1,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,1,0,0,2,0,0,0,2,1,0,0,0,0,1,0,1,2,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,1,2,0,1,0,1,0,2,0,0,1,2,1,0,1,1,0,1,2,0,2,0,1,2,0,0,0,0,0,1,2,0,0,0,2,0,1,1,0,1,0,0,0,2,2,1,0,0,0,1,0,1,0,0,0,0,0,1,1,2,0,1,0,2,2,1,2,0,2,0,1,1,1,0,1,0,0,2,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,2,1,0,0,1,2,1,1,0,0,0,2,1,1,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,1,1,1,1,0,0,0,2,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,2,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,2,1,1,0,0,2,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,2,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0,1,2,0,0,0,0,1,1,1,0,0,0,2,0,1,1,0,0,1,1,0,1,2,0,0,0,0,1,1,1,1,0,1,1,0,0,0,0,1,0,1,2,0,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,2,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,0,1,2,0,0,0,1,1,0,1,1,0,0,0,0,0,2,1,0,1,0,0,1,1,0,0,0,1,0,1,0,2,0,0,0,2,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,2,0,1,1,0,1,1,1,1,1,2,0,1,1,0,1,0,0,0,0,0,0,2,1,0,1,0,1,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,2,1,1,2,1,1,0,0,2,1,0,0,2,1,1,0,0,1,0,0,2,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,2,0,2,2,0,0,0,0,0,0,1,0,2,1,0,0,0,1,1,0,1,0,0,0,1,2,0,1,1,0,0,0,1,0,1,1,0,2,1,0,0,1,0,2,1,0,1,0,1,1,0,1,1,2,0,0,1,0,1,0,1,1,1,1,0,2,1,0,1,1,2,0,0,0,1,0,0,1,0,1,0,2,0,0,0,2,0,1,1,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,1,1,2,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1 2,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0,2,2,1,0,2,0,1,0,0,0,0,2,0,0,0,1,0,1,0,0,2,0,1,0,1,2,1,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,2,1,0,0,1,0,0,0,2,1,1,0,1,2,1,0,1,1,0,1,1,2,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,1,2,0,1,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,2,1,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0,1,2,1,0,0,2,0,1,1,1,1,0,0,0,2,0,0,0,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,2,2,1,1,1,1,0,0,1,0,1,1,0,0,0,2,1,1,1,0,0,1,0,1,2,0,0,0,0,1,1,2,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,2,0,2,2,2,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,2,1,0,0,1,1,0,0,0,2,2,1,0,0,1,0,1,0,1,0,1,0,0,2,0,0,0,0,1,2,1,0,0,0,0,1,1,1,1,0,2,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,1,0,0,0,0,0,1,0,1,1,1,2,1,0,0,1,0,0,2,0,1,1,0,0,1,1,0,1,1,0,2,1,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,2,2,1,0,0,1,1,0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,2,2,0,2,1,1,0,0,0,0,0,0,1,1,0,0,0,1,2,0,1,1,1,1,1,1,0,0,1,1,0,0,2,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,2,0,0,1,0,2,0,2,1,0,1,2,0,1,0,0,0,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,1,0,0,2,0,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0,1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,1,2,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,1,0,0,0,0,1,0,1,1,0,1,1,0,2,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,1,1,0,1,0,1,0,2,1,2,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,1,2,0,0,0,0,0,0,1,0,1,1,0,1,0,0,2,1,0,0,1,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,2,2,2,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,2,0,1,0,1,0,0,1,0,0,1,0,2,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,2,1,2,1,0,0,1,1,2,0,2,0,1,0,0,0,1,0,1,0,0,1,1 1,0,0,1,0,0,0,2,1,0,1,0,0,2,1,0,0,1,1,0,0,0,0,0,2,1,1,0,0,0,2,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,2,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,2,0,0,0,1,2,2,0,0,0,2,0,0,1,2,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,2,1,1,0,0,0,1,1,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,1,0,1,0,2,1,0,2,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,1,0,2,0,2,0,1,0,0,0,2,0,0,1,0,0,2,1,0,0,1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,2,1,1,1,0,1,0,0,0,1,1,0,0,0,2,0,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,2,1,0,2,1,0,0,2,1,1,0,0,0,1,0,1,0,0,0,0,2,2,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,2,0,0,0,0,1,2,2,0,1,1,1,2,0,0,0,0,1,1,1,1,0,1,1,0,1,1,1,0,1,0,1,0,1,1,0,0,1,2,1,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,1,1,1,2,2,0,0,2,1,1,0,1,2,2,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,1,1,0,1,0,1,0,2,0,0,0,1,1,1,0,2,1,1,0,1,1,1,1,2,1,2,1,0,0,1,1,1,0,0,0,0,1,0,1,2,0,0,0,0,1,1,1,0,0,0,1,0,0,2,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,2,1,0,1,0,1,1,1,0,0,0,1,2,0,0,0,0,1,0,1,1,0,2,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,1,2,0,0,1,0,0,0,1,1,0,0,1,0,1,1,2,1,2,1,0,0,0,0,1,1,0,0,1,0,1,1,1,0,0,2,0,0,0,0,1,1,0,1,1,1,1,0,1,0,0,1,2,0,2,0,2,0,0,1,1,0,0,0,1,0,0,0,1,1,2,0,1,1,2,0,0,0,1,0,0,1,1,2,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,2,1,0,0,0,2,0,0,1,0,0,0,0,0,0,1,1,0,0,0,2,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,2,1,1,0,0,1,1,2,2,1,0,1,0,2,0,1,1,0,0,0,1,0,2,0,0,0,1,0,1,0,0,0,1,0,2,0,0,1,0,0,0,1,2,0,0,0,0,2,1,0,1,0,0,0,0,1,1,0,0,1,2,0,0,1,0,0,0,1,2,0,0,0,1,0,1,1,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,1,1,0,0,1,0,1,0,1,1,2,1,0,2,0,0,1,2,1,0,1,2,0,0,1,0,0,2,1,2,1,2,0,0,0,0,2,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,2,1,0,0,0,0,0,2,2,0,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,2,0,1,0,1,0,0,2,1,0,0,1,1,1,2,1,0,1,0,2,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,2,0,0,0,1,0,2,1,1,2,1,1,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,2,2,0,0,2,0,1,1,0,2,2,1,0,0,0,1,0,0,2,0,0,2,0,0,1,1,0,0,0,1,1 1,0,0,1,0,0,2,0,0,0,0,1,1,2,1,0,0,1,1,0,0,0,0,1,2,0,1,1,0,1,0,0,2,0,0,0,2,0,2,0,0,2,1,1,1,0,1,0,0,0,0,0,1,0,0,0,2,0,1,2,0,0,0,0,1,1,1,1,0,1,2,0,1,1,0,0,1,2,0,0,0,0,0,1,0,1,1,0,0,0,2,1,0,0,1,2,1,1,0,0,1,2,0,2,0,0,1,0,0,1,1,0,0,2,0,1,0,1,0,0,0,2,1,0,0,0,0,0,2,1,0,1,0,1,0,0,0,0,0,0,2,0,0,2,0,1,0,0,0,0,1,0,1,0,2,0,0,0,1,1,0,1,1,1,0,0,2,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,0,2,1,1,1,0,1,1,1,1,1,0,1,1,0,2,0,0,0,0,0,0,0,1,0,0,0,1,1,2,1,0,0,0,2,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,1,2,0,0,0,0,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,1,1,0,0,2,0,2,0,1,1,2,0,0,0,0,1,1,2,0,0,0,2,1,0,0,0,0,1,1,1,1,0,0,0,1,0,2,0,1,1,0,1,0,1,0,0,1,1,0,2,1,0,1,0,2,0,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,2,1,1,0,2,0,0,0,1,1,0,2,1,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,1,1,1,0,1,2,2,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,1,2,1,0,2,0,1,0,0,0,1,1,1,1,0,1,0,2,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,0,2,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,2,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,2,0,2,1,0,0,0,0,2,1,1,1,1,1,0,0,0,1,1,0,0,2,0,0,0,0,1,0,1,1,0,1,0,0,0,2,1,1,1,1,0,0,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,2,0,0,1,0,1,0,1,0,1,1,0,0,2,2,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,2,1,0,1,0,1,0,0,0,0,1,0,0,0,2,0,1,2,2,0,0,1,0,1,0,0,0,1,1,0,1,1,0,0,1,1,2,0,0,0,0,1,0,1,1,0,0,1,0,1,1,2,2,2,0,0,0,0,0,1,1,2,0,1,0,1,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,1,1,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,1,1,2,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,2,1,0,2,2,0,1,0,0,0,1,1,0,2,1,0,0,1,1,1,1,1,1,1,0,0,1,0,1,0,1,2,2,0,0,1,1,1,1,2,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0,2,1,1,1,1,1,0,2,0,1,0,1,0,0,0,0,2,1,0,1,0,0,1,0,1,1,2,1,0,1,0,0,0,0,0,1,1,1,2,1,0,0,0,1,0,0,1,2,0,0,1,1,1,1,0,1,2,0,2,1,1,0,1,1,0,0,2,0,1,0,2,2,0,0,0,0,0,0,0,1,1,0,2,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,1,2,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,2,1,0,0,0,1,0,0,1,1,2,0,1,0,0,0,0,1,1,1,1,0,0,0,0,2,1,0,0,1 1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,0,0,2,0,1,0,1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,2,0,1,1,1,0,1,0,0,1,1,0,2,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,2,1,0,0,0,0,0,0,0,1,1,2,0,0,1,1,0,0,0,0,2,2,0,1,0,1,1,0,2,1,0,1,1,1,2,0,1,1,1,2,1,0,0,0,1,0,1,0,1,2,1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,2,1,1,1,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,2,0,0,1,1,1,2,1,1,0,1,1,0,2,1,0,0,0,0,0,0,1,1,1,2,0,1,2,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,2,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,1,1,1,2,0,1,0,0,0,0,1,0,0,0,0,2,1,0,0,0,1,0,1,1,0,2,0,0,1,2,1,2,0,2,1,0,0,1,1,0,1,1,1,1,1,0,1,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,2,1,2,0,0,1,0,0,0,1,2,1,0,0,1,0,1,0,1,1,1,1,2,2,0,0,0,2,0,0,1,2,1,0,0,2,1,0,0,1,1,0,0,0,0,0,0,1,1,2,2,0,1,0,1,0,1,0,2,0,1,1,1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,2,0,1,1,0,0,2,1,0,2,1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,1,1,1,0,2,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,1,0,1,1,1,1,0,0,1,0,0,2,2,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,2,0,0,1,1,2,0,0,0,1,1,0,1,1,0,2,0,2,1,1,1,1,1,0,0,0,2,0,2,1,0,0,0,0,0,2,1,0,0,0,1,0,1,0,1,0,0,0,1,1,2,0,0,0,1,1,0,2,0,0,0,0,1,0,1,1,0,0,0,0,2,2,1,1,0,2,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0,2,0,1,1,0,0,1,0,0,2,1,1,0,2,0,1,1,1,0,2,1,0,0,0,0,1,0,1,0,0,0,1,2,2,0,1,0,1,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,1,0,0,0,1,0,2,1,1,2,0,0,1,0,1,0,1,2,1,0,0,2,1,1,0,0,0,0,0,0,0,1,0,2,0,1,1,2,1,1,0,1,0,0,1,0,0,2,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,2,0,0,0,0,1,0,2,1,0,0,0,1,2,0,0,2,0,1,0,1,0,1,2,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,2,0,0,2,1,0,0,0,0,1,0,2,0,1,2,2,0,2,2,1,1,0,2,1,1,0,0,1,1,0,2,0,1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,2,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,2,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,2,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1 0,0,1,2,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,1,1,1,0,2,1,2,0,2,0,0,1,0,0,0,1,0,1,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,1,0,1,0,2,0,2,0,0,1,1,1,2,1,1,0,1,0,1,0,1,1,0,0,0,0,2,1,2,1,0,1,1,1,0,1,0,1,0,2,0,1,1,1,1,2,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,2,0,0,0,2,0,0,1,2,0,1,0,2,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,1,2,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,2,0,1,0,1,0,0,0,0,1,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,0,2,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0,2,1,0,1,1,0,1,0,0,0,1,0,1,1,2,2,0,1,0,0,1,0,1,0,2,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,0,2,0,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,2,1,2,0,1,1,0,0,2,0,2,2,2,0,0,2,0,0,0,0,0,1,0,1,0,0,0,1,0,1,2,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,1,2,1,0,1,0,0,0,1,0,1,0,0,2,1,0,1,1,0,2,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,2,2,0,0,0,0,0,1,1,1,0,0,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,1,0,2,0,1,2,0,0,0,0,0,1,1,0,2,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,0,2,0,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0,2,0,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,2,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0,1,1,1,1,1,0,2,0,0,1,1,1,0,0,1,1,1,1,1,1,0,2,0,2,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,1,1,0,2,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,2,2,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,1,0,1,1,0,2,0,0,0,1,1,0,0,0,0,1,1,2,1,0,1,2,1,0,1,0,1,0,2,1,1,1,1,1,0,2,0,0,0,0,0,1,0,0,1,2,2,1,1,0,1,0,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,2,0,1,1,2,1,0,2,1,0,0,2,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,2,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,2,0,0,1,0,0,0,1,2,1,2,0,1,1,1,0,0,1,0,0,0,0,0,2,0,1,1,1,0,1 0,0,2,2,1,0,0,0,0,1,0,2,1,1,0,0,0,1,0,0,0,1,0,1,0,1,1,2,1,1,0,0,1,2,0,0,1,0,0,1,0,2,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,2,1,0,1,0,0,2,2,0,1,0,0,0,2,0,0,1,0,1,0,2,0,0,0,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,2,1,0,0,1,0,1,0,0,2,2,0,2,0,0,0,1,2,0,0,1,1,1,1,2,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,2,0,0,1,0,2,0,1,0,1,1,1,1,0,0,2,1,0,1,0,1,0,0,0,0,0,0,0,1,1,2,0,2,0,1,0,1,2,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,1,1,0,0,2,2,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,0,2,1,1,0,1,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,2,2,1,2,2,0,2,0,0,1,2,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,2,1,0,0,0,0,2,2,0,1,0,0,0,2,0,2,1,1,0,1,0,0,1,1,0,2,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,1,1,0,1,2,1,0,2,0,0,0,1,0,0,0,2,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,1,0,0,0,1,1,2,0,0,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,1,2,0,0,1,1,0,2,0,0,0,2,0,0,0,0,1,1,0,2,1,0,1,1,0,2,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,0,0,1,2,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,2,1,0,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,1,1,2,0,2,1,0,1,0,0,0,2,0,2,0,1,1,1,0,0,2,1,1,0,2,0,0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,0,1,0,2,0,0,0,0,1,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,2,2,2,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,2,1,2,2,1,0,2,1,0,0,1,0,0,0,0,2,1,0,2,2,2,1,0,0,0,2,0,0,0,0,0,0,0,2,0,1,1,2,0,0,0,0,1,1,0,1,2,0,0,0,0,0,0,1,0,2,0,0,0,0,0,2,2,1,1,0,1,0,1,0,2,0,0,1,1,0,0,0,1,2,1,0,1,1,0,0,1,2,0,1,0,1,0,0,0,2,1,1,2,2,0,0,0,2,0,0,0,1,1,1,0,0,0,0,1,0,0,0,1,2,2,0,1,0,0,2,1,0,0,0,1,2,0,0,2,0,0,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,1,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,2,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,2,0,0,1,1 2,1,0,0,1,1,0,2,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,1,1,0,2,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,2,0,1,0,1,0,1,0,0,1,1,0,1,0,2,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,2,1,0,1,1,2,1,2,2,2,1,0,0,0,0,0,1,2,0,1,0,0,1,1,1,0,0,0,2,0,1,0,0,1,1,1,2,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,1,0,0,0,0,2,0,1,1,1,1,0,1,0,0,0,0,2,1,0,0,0,1,1,2,0,1,1,0,2,0,0,0,1,0,2,0,0,1,2,0,0,1,0,0,2,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,2,1,2,0,2,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,1,1,1,2,1,0,0,0,1,0,2,1,0,0,0,0,0,0,1,0,1,0,1,2,1,1,0,0,0,0,0,2,0,1,2,0,1,1,0,0,0,1,0,0,1,0,0,0,2,0,2,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,2,0,0,1,1,1,0,0,1,2,0,0,0,0,0,2,1,1,0,0,1,0,1,0,2,0,0,0,0,1,1,1,1,1,2,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,2,0,1,0,0,0,0,1,0,0,0,0,2,0,0,1,0,0,1,0,0,1,0,2,0,1,0,0,0,0,1,1,1,1,0,0,2,0,0,1,1,2,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,2,2,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,1,1,0,2,0,0,0,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,2,0,1,1,0,0,0,2,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,2,1,1,0,1,0,0,0,0,2,0,1,1,0,2,1,0,1,1,0,2,1,1,0,1,0,1,1,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,2,0,0,0,0,1,0,1,1,0,0,1,0,0,1,2,0,1,0,0,0,0,2,0,1,1,2,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,2,0,0,0,0,0,0,1,1,2,1,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,1,1,1,0,1,1,1,0,0,0,1,1,1,2,0,0,1,1,1,0,2,0,0,0,0,0,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0,2,2,0,2,0,0,1,0,0,0,0,2,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0,2,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,2,2,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,2,0,1,1,1,0,0,1,0,0,2,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,2,0,1,1,1,1,0,1,0,1,1,0,2,0,1,0,0,0,2,0,0,1,1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,2,0,0,1,1,0,1,0,1,1,1,0,1,1,1,1,1,0,0,2,0,0,1,0,0,2,0,0,0,0,0,0,1,0,1,1 1,0,2,0,1,0,1,2,0,0,1,0,0,0,2,1,0,0,1,0,0,0,1,1,0,2,1,2,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,1,1,1,0,0,0,0,0,1,0,0,1,0,2,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1,2,1,0,0,1,0,2,0,0,0,0,1,0,1,0,1,1,2,0,0,0,0,0,2,1,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,0,1,2,0,1,0,1,0,1,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,1,1,2,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,2,1,1,0,2,2,0,1,0,1,1,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,2,0,1,0,1,1,2,0,0,1,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0,0,1,2,1,2,0,1,1,2,0,0,0,0,0,2,0,2,0,0,0,0,1,0,2,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,1,1,1,0,1,1,1,1,0,0,2,0,0,0,2,0,0,1,1,1,2,2,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,2,0,1,0,0,1,2,2,1,1,2,0,2,0,1,0,1,0,0,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,0,1,0,1,1,0,0,2,0,0,1,1,1,0,1,1,2,1,0,0,2,1,0,0,2,1,0,2,1,0,0,1,0,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,2,0,0,0,1,0,2,0,0,0,0,2,0,0,2,1,0,2,0,1,0,0,0,1,0,0,1,1,0,0,2,1,0,0,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0,1,2,1,0,1,0,0,0,1,1,1,0,0,1,0,0,2,1,0,0,0,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,2,0,0,0,1,1,0,1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,2,1,1,1,0,0,0,0,0,1,0,2,1,0,0,0,1,1,0,0,1,2,0,0,0,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0,2,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0,2,0,0,2,0,1,1,2,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,2,0,0,2,0,0,0,1,1,1,1,1,1,0,0,2,0,0,1,0,0,2,2,1,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,2,0,0,1,0,0,1,1,1,0,1,2,0,0,1,1,0,0,1,0,0,0,2,0,1,1,0,0,0,1,0,0,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,1,0,0,1,2,0,1,1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,2,0,0,1,0,0,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0,2,1,0,0,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,2,0,0,0,0,1,2,0,0,1 1,0,1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,1,1,0,2,2,0,0,1,1,0,0,0,1,1,0,2,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,2,0,1,1,1,0,2,1,0,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,2,1,0,2,2,0,0,0,0,1,0,1,0,1,0,1,0,1,0,2,1,1,1,1,0,1,0,2,1,0,1,0,1,2,1,0,0,0,2,0,1,0,1,1,1,1,0,1,0,0,2,0,2,0,0,0,0,0,0,1,1,2,1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,2,0,1,2,0,0,1,0,0,1,1,2,0,0,1,0,0,0,0,1,0,1,0,0,2,1,1,1,2,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0,2,1,0,2,0,0,0,1,0,1,0,1,1,0,0,0,2,0,1,0,0,1,0,2,1,0,0,1,1,1,0,0,1,0,0,0,1,2,0,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,2,1,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,2,2,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,2,0,1,0,0,0,0,1,2,1,0,0,0,0,1,1,1,1,0,1,1,2,1,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,1,1,0,1,0,1,0,0,1,0,0,1,0,0,2,2,1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,2,1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0,2,0,1,0,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,2,1,0,2,1,0,0,0,0,0,0,0,1,0,2,0,0,0,1,1,0,0,0,0,0,2,0,1,1,1,0,2,0,1,2,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,2,0,1,1,0,0,0,1,1,1,1,0,2,0,1,1,0,1,2,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,2,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,1,2,1,2,0,1,0,0,2,0,0,0,0,2,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,2,0,0,0,0,1,0,0,2,0,1,0,1,1,0,0,1,0,0,2,1,0,1,0,0,1,1,0,0,2,1,0,0,1,0,1,0,0,0,1,1,0,1,0,1,1,1,2,0,1,0,1,0,0,1,1,1,0,0,1,1,0,2,0,0,1,1,2,0,0,0,0,2,0,1,0,0,0,1,0,0,0,1,0,0,2,0,1,1,0,0,0,0,0,0,1,2,0,0,0,0,2,0,0,0,0,0,2,1,2,2,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,2,0,0,0,0,2,0,0,0,0,1,1,0,1,2,1,1,0,2,1,2,0,0,1,1,1,1,1,0,0,1,2,2,2,1,0,0,0,0,1,0,2,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,2,0,0,0,0,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,2,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,2,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,2,0,1,1,0,0,1,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,2,1,1,2,2,1,0,0,1,1,1,0,0,0,0,0,1,0,1,1,0,1,1,0,1,1 1,0,1,1,1,1,1,0,1,1,2,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,2,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,1,2,0,0,0,0,0,0,1,0,0,0,0,1,0,1,2,1,0,1,0,0,0,1,0,0,2,0,0,2,0,1,1,0,1,0,0,0,1,0,1,0,1,1,1,2,0,0,0,1,0,1,0,1,0,1,0,1,1,0,1,2,0,1,1,2,0,1,0,2,1,0,0,0,0,0,0,2,1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,2,0,1,2,0,2,0,0,0,1,0,1,1,0,2,0,1,0,0,0,1,1,1,0,0,0,0,0,1,1,1,2,2,2,0,1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0,2,1,0,1,2,0,2,1,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,1,0,1,1,1,0,2,1,1,0,0,1,0,1,0,0,0,0,0,2,0,0,1,0,0,1,2,0,0,0,0,0,0,1,2,1,1,0,1,0,0,1,0,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,2,1,0,1,0,0,1,1,1,0,0,1,2,1,1,1,0,1,0,2,0,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,2,2,1,1,0,1,0,0,1,0,2,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,1,0,1,0,1,0,2,0,0,1,0,1,0,0,0,1,0,2,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0,1,2,0,0,1,1,0,1,0,1,1,0,0,0,0,0,2,1,2,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,2,1,0,0,0,1,0,0,1,2,0,1,1,0,0,0,1,2,1,0,0,0,0,0,2,0,1,0,1,2,0,1,0,1,0,0,2,0,1,2,1,0,1,0,0,0,2,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,2,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,1,0,2,0,1,1,1,1,0,0,1,1,0,0,1,0,0,2,1,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,1,1,2,0,0,1,0,1,1,2,1,0,1,2,0,2,1,1,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,2,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,1,2,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,1,1,1,2,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,2,0,0,1,1,0,0,2,0,0,2,0,0,0,0,1,0,1,0,0,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,2,1,1,2,2,2,0,0,1,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,1,1,0,0,2,2,0,1,0,0,0,0,0,0,0,1,1,0,1,1,1,1,1,1,1,0,0,2,0,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,1,1,0,2,0,0,1,0,0,2,0,0,2,0,0,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,1,1 1,0,1,1,0,0,0,0,1,0,1,1,0,1,2,0,1,0,0,0,0,0,0,1,2,0,2,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,2,1,0,0,0,0,1,1,1,1,0,0,0,0,0,1,2,1,2,1,1,0,2,1,1,0,1,1,0,1,0,0,1,2,1,2,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,0,2,0,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,1,0,1,0,1,2,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,1,0,1,0,2,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,1,0,2,0,1,1,2,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,2,2,0,1,1,1,0,1,1,0,0,0,2,0,2,1,0,0,0,2,0,0,2,0,0,1,1,0,1,0,0,1,0,0,1,1,0,2,1,0,1,0,0,1,2,2,0,0,0,0,0,0,0,2,0,1,0,1,0,1,0,0,0,1,0,0,2,0,0,2,1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,1,1,0,1,2,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,2,0,1,0,0,1,2,0,0,2,1,1,1,2,1,1,1,0,2,1,1,0,0,0,1,1,1,1,0,1,0,2,0,1,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,2,0,0,0,1,0,1,0,0,0,0,0,2,0,1,2,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,2,1,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,0,2,1,2,0,0,1,0,0,2,0,0,2,0,1,0,0,1,2,0,0,1,0,0,1,0,0,1,1,1,1,0,0,0,2,0,1,2,1,0,0,2,2,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,2,0,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0,1,2,1,1,1,1,0,0,0,2,1,1,0,0,0,0,0,0,1,0,0,1,2,0,2,2,0,1,1,0,1,0,1,0,0,2,1,0,1,0,2,0,0,2,0,1,0,0,0,1,0,0,1,2,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,1,2,2,0,0,1,0,1,0,0,0,1,1,1,0,1,1,1,0,0,1,0,2,0,0,0,1,0,0,0,1,0,0,1,2,1,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,2,2,0,0,0,1,0,0,1,1,0,0,1,1,0,0,2,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0,0,0,1,1,1,1,1,0,0,0,2,0,2,0,0,1,2,1,0,2,2,0,0,0,0,0,0,1,1,1,0,1,0,1,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0,1,2,0,1,1,0,0,0,2,1,0,1,0,1,0,0,0,0,1,0,0,1,1,1,2,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,1,1,0,2,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,1,1 2,0,0,0,1,0,0,1,0,0,1,0,0,1,2,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,2,1,2,2,1,0,2,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,1,0,1,0,1,0,0,2,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,0,2,2,2,0,0,1,1,1,1,0,1,0,0,1,1,1,2,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,2,0,2,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,2,0,0,0,1,1,1,0,2,1,0,0,1,2,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,2,0,0,0,0,1,1,1,0,0,0,1,2,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,1,2,0,1,1,0,1,0,0,0,2,0,0,0,2,1,0,0,0,0,0,1,0,1,0,0,2,0,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0,2,1,1,1,1,0,0,2,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0,1,1,0,1,2,0,0,1,0,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,2,2,1,1,0,2,2,1,0,0,0,1,0,1,0,0,0,0,1,0,2,1,2,0,1,0,0,0,1,1,2,1,0,0,0,0,0,2,1,0,2,0,1,1,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0,1,2,0,1,0,0,0,0,0,0,0,2,2,0,2,1,2,0,1,1,0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,2,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,1,2,0,0,1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,2,1,1,0,1,0,0,0,0,2,0,1,1,0,0,1,2,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,2,0,0,1,1,2,0,1,0,1,2,1,0,2,1,0,0,0,0,2,1,0,0,0,0,0,0,2,2,1,2,2,0,0,0,1,1,2,1,0,0,1,0,1,0,0,1,1,1,0,2,0,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,2,0,2,1,2,1,0,1,1,1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,2,1,1,1,0,0,0,0,0,1,0,1,1,2,1,0,0,0,0,0,2,0,1,1,0,0,0,0,0,1,0,2,2,0,2,0,0,1,0,0,1,1,1,0,1,0,2,1,2,1,1,0,1,0,2,1,0,0,1,0,2,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,2,1,0,0,0,0,0,0,1,0,0,1,1,2,0,1,0,1,0,0,2,1,2,2,1,0,2,0,0,1,0,0,0,0,0,0,1,2,0,0,2,1,0,1,0,0,0,0,2,0,2,0,0,0,1,1,2,0,0,1,0,1,0,0,1,2,0,0,0,2,0,0,0,0,1,1,0,0,1,1,0,1,2,0,0,0,0,0,0,0,0,0,1,1,2,0,0,1,0,0,0,1,1,1,1,0,2,0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,2,1,0,1,0,0,1,0,1,0,1,1,0,1,2,0,2,1,0,0,1,1,0,1,1,1,2,0,0,1,0,1,1,0,1,1 0,0,1,2,0,1,1,0,0,1,2,0,0,1,1,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,2,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,2,2,1,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,1,1,1,0,1,0,2,0,0,2,1,0,0,1,0,0,1,0,2,1,1,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,2,0,2,1,0,2,0,1,0,0,2,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,1,0,2,1,0,0,0,0,1,0,1,1,0,1,0,2,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,1,2,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,1,1,2,0,1,1,1,1,0,1,0,0,2,1,0,0,0,2,0,0,1,1,0,0,0,2,2,0,1,2,0,1,1,2,1,0,0,1,2,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,2,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1,0,2,1,1,2,1,0,0,2,1,0,0,0,0,0,1,0,0,0,0,1,1,1,1,1,1,0,0,0,1,1,1,1,2,0,2,0,1,0,0,1,1,2,1,0,0,0,0,0,1,0,2,0,1,2,0,0,0,0,2,1,1,1,0,1,0,1,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,2,0,1,1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,2,0,0,2,0,1,0,0,0,1,0,0,1,2,0,1,2,1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,2,0,2,0,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,2,2,1,1,1,1,2,0,0,0,0,1,0,0,1,1,1,0,0,1,1,0,2,0,2,0,0,1,2,0,0,0,2,1,0,0,0,0,1,0,0,1,0,1,1,2,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,2,0,0,0,1,1,0,0,1,1,1,0,0,1,0,2,1,0,0,0,0,1,0,1,1,1,0,1,0,2,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,2,2,1,0,1,0,0,0,0,1,1,1,1,1,0,0,2,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,2,2,2,2,1,2,2,1,0,1,0,1,0,2,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,1,2,0,2,2,0,1,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0,2,1,0,2,1,0,0,0,1,0,0,1,0,0,2,2,0,0,2,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,2,1,1,0,0,2,1,0,0,1,1,0,0,0,1,0,2,0,0,1,1,1,0,1,0,1,0,2,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,2,0,0,0,2,2,1,0,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,1,0,1 2,0,1,1,1,0,1,0,1,2,1,2,0,1,1,0,0,1,1,0,0,0,0,1,0,0,1,2,0,1,0,0,0,1,2,0,0,0,1,0,0,0,0,1,0,0,0,1,0,2,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,1,1,1,1,0,1,0,0,1,1,1,1,0,2,1,0,0,0,1,1,0,1,0,0,0,1,0,0,2,0,2,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,2,2,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,2,1,0,0,0,1,0,0,0,0,0,0,1,2,0,2,1,1,0,0,0,1,2,0,1,2,0,0,1,1,0,0,0,2,0,0,1,0,0,2,0,0,0,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,2,1,1,0,0,0,0,0,1,1,1,0,1,1,0,2,2,0,1,0,0,1,0,0,0,0,1,1,2,0,0,0,1,0,0,0,1,1,2,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,2,1,0,1,0,1,0,0,1,1,0,1,1,2,1,0,1,0,1,1,0,0,1,0,2,0,1,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,2,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,2,1,1,1,0,0,1,0,0,1,1,1,0,0,1,2,0,0,2,0,1,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,2,1,1,0,2,0,1,0,1,0,0,2,1,2,0,2,2,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,2,2,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,2,0,1,1,1,1,1,1,1,1,1,0,1,0,0,1,2,0,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,1,1,1,2,0,0,1,0,0,0,1,1,0,1,1,0,1,0,2,1,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,2,1,0,0,0,1,1,0,2,0,0,1,0,1,1,1,2,1,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,2,0,0,0,0,2,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,2,1,0,0,2,0,0,0,0,0,2,1,0,1,0,0,0,1,0,2,0,1,0,0,0,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,2,0,1,0,2,0,0,0,0,2,1,1,0,0,0,0,1,1,1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,2,0,0,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,2,0,0,0,1,1,0,1,1,0,0,1,1,0,1,0,1,1,0,2,0,0,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0,0,1,2,1,1,1,1,0,0,0,2,1,0,0,0,1,0,2,0,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1,2,0,1,1,0,0,0,2,0,0,0,0,0,2,2,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,2,1,2,0,0,1,1,1,0,0,2,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,1,1,1,0,1,1,0,0,0,2,0,1,1,0,1,0,1,0,2,1,1,1,0,0,0,0,0,0,0,0,2,1,0,1 1,0,1,1,2,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,2,1,1,0,1,2,0,2,0,0,0,0,0,1,1,1,2,1,2,1,1,0,0,0,0,1,0,1,0,0,0,1,1,2,2,0,0,0,0,0,1,0,1,1,0,1,0,2,1,0,0,0,1,0,0,0,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,2,0,1,1,0,0,1,0,0,0,1,1,2,1,1,0,1,0,0,2,1,2,0,2,2,0,0,1,0,1,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,1,2,0,0,0,0,1,1,1,2,1,1,0,1,0,0,1,0,2,1,2,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,2,0,1,0,1,0,1,0,0,0,0,0,0,0,0,2,0,2,2,0,1,1,0,1,0,0,1,2,0,0,0,0,1,1,1,2,0,0,1,0,1,1,1,1,2,2,0,1,1,1,0,2,2,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,2,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,0,2,1,1,0,0,0,1,0,2,2,0,1,0,1,0,0,0,0,0,0,0,2,1,0,0,0,1,1,1,1,0,0,1,0,2,1,0,0,0,0,1,2,1,1,1,1,1,0,2,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,2,0,0,2,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,1,2,1,0,1,0,1,0,0,1,1,1,0,0,2,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,2,1,1,1,0,1,1,1,2,1,0,1,1,0,1,0,2,0,0,1,0,0,0,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,1,1,1,0,2,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,1,0,0,2,0,0,0,1,1,0,2,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,2,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,2,2,0,1,0,1,1,0,0,1,0,0,2,0,0,1,0,1,0,2,1,0,2,0,0,0,1,2,1,0,1,0,0,1,1,0,1,0,0,1,1,2,1,1,1,0,0,1,1,0,1,0,2,1,1,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,2,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,2,2,0,0,2,1,1,0,2,0,0,1,0,0,0,1,0,2,1,0,0,1,0,1,0,0,0,1,2,0,1,1,0,0,1,0,0,1,1,1,0,1,2,0,1,0,1,1,1,0,1,0,1,0,2,2,1,0,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,1,1,1,1,2,1,0,1,0,0,1,1,0,1,1,1,2,1,0,1,0,0,1,1,1,0,0,1,0,0,2,0,2,1,0,2,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,2,0,0,1,0,0,0,2,1,0,1,1,0,0,0,0,1,1,2,2,0,2,1,0,0,0,1,0,2,1,2,2,1,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,2,1,0,0,0,0,1,0,1,1,1,0,0,2,1,1,1,0,1,1,0,0,1,0,0,0,1,0,2,2,1,0,0,0,0,0,2,0,0,0,0,1,0,2,0,1,0,1,1,0,1,1,1,0,0,0,1,2,1,0,2,0,1,1,2,1,1,1,2,0,0,1,1,0,1,1,1,0,0,0,2,0,0,2,0,0,1,2,0,0,1,0,0,0,1,1,2,0,0,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,2,1,0,0,1,0,0,1,0,0,2,0,1,2,0,1,1,0,0,2,0,0,1,0,2,0,0,0,1,2,0,0,0,0,1,2,0,0,0,1 0,0,0,1,0,0,0,1,0,2,1,0,0,0,2,1,0,1,2,0,0,0,0,0,1,2,1,0,1,0,1,1,0,0,0,0,2,0,0,0,1,1,0,2,0,1,0,1,0,2,1,0,0,0,0,0,1,1,0,2,0,0,0,1,0,1,0,1,1,2,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,2,0,1,0,1,1,1,0,0,0,2,0,1,2,0,1,2,1,0,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,2,2,1,1,1,1,1,2,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,1,1,0,1,0,0,1,2,1,2,0,0,1,2,0,1,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,2,0,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,2,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0,2,1,0,0,0,2,0,0,1,2,0,2,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,2,1,2,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,2,2,1,1,0,0,1,2,1,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,2,0,2,0,0,1,0,0,0,0,2,1,1,0,0,0,0,0,2,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,1,2,0,1,1,0,0,0,0,1,0,1,2,1,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,2,1,1,0,0,0,2,0,1,0,0,0,0,0,2,1,2,0,1,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,2,1,1,1,2,0,0,0,2,1,1,2,0,1,1,0,0,1,1,2,0,0,0,0,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,2,0,1,0,0,1,2,2,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1,2,1,1,1,0,1,0,1,0,0,0,0,2,1,1,1,1,0,0,0,1,1,0,0,1,2,2,0,0,0,0,0,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,2,0,0,0,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,1,2,0,1,1,0,0,0,0,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0,2,1,0,0,1,1,1,2,1,0,2,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,2,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,1,2,0,2,1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0,1,2,0,1,0,0,0,0,0,2,0,0,1,2,0,0,0,0,2,1,0,1,0,0,0,1,0,1,0,0,2,2,0,0,0,0,1,1,0,0,1,1,1,0,0,2,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,0,2,1,2,1,0,1,0,0,2,1,0,0,1,0,1,2,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,2,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,2,0,0,0,1,0,2,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,2,0,0,1,1 1,0,0,1,0,0,1,0,1,1,2,1,0,0,0,2,1,1,1,0,1,0,0,0,1,0,0,2,1,1,1,0,0,0,0,0,2,1,1,0,0,0,0,1,1,0,0,0,0,1,2,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,2,0,0,2,1,2,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,0,1,0,2,1,1,0,1,1,1,1,2,1,1,0,1,1,0,0,1,1,1,1,2,0,1,0,1,0,1,0,0,0,1,1,1,1,2,0,0,2,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,2,1,1,1,0,0,0,0,0,0,2,0,0,0,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0,2,0,2,2,0,1,1,1,0,0,0,1,0,0,0,1,1,0,1,1,1,0,0,1,0,1,1,1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0,1,2,0,0,1,2,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,0,1,0,2,1,0,0,0,2,0,2,0,0,1,0,0,0,2,2,0,0,0,1,0,0,0,1,2,0,1,0,0,0,2,0,1,1,1,1,1,1,2,1,0,0,1,2,0,1,0,1,1,0,0,2,0,1,0,0,0,1,2,0,1,0,0,0,0,0,1,1,1,2,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,2,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,2,0,1,0,2,0,1,2,1,1,0,1,1,1,0,2,1,2,0,0,0,2,0,1,0,0,2,0,1,1,0,1,2,1,1,0,1,1,1,1,0,1,0,2,0,0,0,0,1,2,0,0,1,0,1,0,1,0,1,0,0,0,2,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,2,1,0,0,0,0,0,1,0,0,0,1,2,1,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,2,1,0,0,1,0,0,1,2,0,0,0,2,0,0,0,1,1,1,0,0,0,1,1,1,0,1,2,0,0,1,0,0,0,0,0,2,2,0,1,1,0,0,1,1,2,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,2,2,0,0,1,0,0,0,0,1,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,2,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,2,0,0,0,2,1,0,1,1,1,0,0,0,0,0,0,0,2,0,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,2,0,1,1,2,0,1,0,0,2,2,1,1,2,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,0,1,2,1,0,0,0,1,2,0,2,1,0,1,1,0,2,0,0,1,0,0,0,2,2,2,1,0,1,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,1,2,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,1,0,0,2,1,0,2,0,2,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,2,1,1,0,0,0,0,1,2,1,1,1,0,0,2,0,2,0,0,1,0,0,0,1,2,0,0,0,0,0,0,0,1,2,1,0,0,1,0,2,0,0,2,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,2,0,1,1,0,0,0,0,1,2,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,2,1,0,1,1 0,1,1,1,0,0,2,1,0,1,0,2,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,2,1,1,1,1,0,1,0,2,0,1,2,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,2,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,2,0,1,1,0,1,2,0,0,0,0,2,0,1,0,1,0,2,0,1,1,0,0,0,1,0,0,0,0,2,0,0,0,1,1,1,0,0,2,0,2,0,1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,2,0,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,2,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,2,2,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,2,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1,0,2,0,1,0,0,1,0,1,1,0,0,0,2,1,2,0,0,1,0,0,2,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,2,2,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,2,0,1,0,1,0,0,1,0,1,0,2,1,0,1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,1,1,1,1,1,2,2,1,2,1,0,1,1,0,1,1,0,0,0,1,1,1,2,0,0,0,0,1,1,0,0,1,1,0,1,0,0,2,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,1,0,1,2,2,0,0,1,0,0,1,0,0,0,2,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,2,0,1,0,1,0,1,0,0,1,1,1,0,2,0,1,0,0,0,0,2,0,0,1,0,1,0,1,1,0,2,1,2,0,1,0,1,1,2,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,2,1,0,0,1,1,1,2,0,1,1,0,0,1,1,2,2,1,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,2,1,1,2,0,1,1,0,0,0,1,0,0,0,0,2,0,0,1,1,2,0,1,1,0,0,1,0,1,0,0,1,1,0,0,2,0,1,0,1,0,1,0,0,1,0,0,0,0,2,0,1,1,2,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0,1,0,1,1,0,0,0,2,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,2,0,0,0,2,1,0,1,0,0,0,1,0,2,1,1,0,0,1,2,0,1,2,0,1,0,1,2,0,1,1,0,0,1,0,0,1,0,1,1,0,2,1,1,1,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,2,1,1,0,0,1,2,1,0,0,1,1,0,1,1,1,1,1,2,0,1,1,0,0,0,1,0,2,1,0,1,0,1,0,0,0,1,0,1,2,2,0,1,0,0,1,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,2,0,0,1,2,0,0,2,1,1,0,0,0,0,0,1,0,1,1,0,0,2,0,1,2,0,2,0,0,0,0,1,1,0,0,0,1,0,2,1,0,1,2,0,0,2,0,1,0,1,1,0,0,0,2,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,1,0,0,1,1,2,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,1,1,1,0,2,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1 1,0,0,0,0,1,1,0,0,1,1,2,0,1,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,2,2,0,0,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,2,0,1,1,0,0,0,0,0,0,0,0,0,1,2,0,1,2,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,0,2,0,1,0,0,0,2,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,1,1,0,0,1,0,2,1,1,0,0,0,0,0,0,1,2,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,1,0,0,1,1,2,0,1,1,0,0,1,1,0,0,0,2,0,0,1,1,0,2,1,0,0,1,0,1,2,1,2,2,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,2,2,1,2,0,0,0,1,1,0,1,0,2,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,2,1,1,1,0,2,1,0,0,1,0,0,0,2,2,1,1,1,0,0,1,0,0,0,0,0,0,0,1,2,2,0,0,0,0,0,0,2,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,2,0,0,2,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,1,2,1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,2,0,0,2,1,0,1,0,0,0,1,1,1,0,0,1,1,0,0,0,2,0,1,1,0,0,0,0,1,0,1,0,0,1,1,0,1,1,1,0,2,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,2,1,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,1,1,1,1,2,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,2,0,1,0,1,0,1,2,0,0,0,0,1,0,0,1,0,0,1,0,0,0,2,0,0,1,1,0,1,1,0,0,0,2,1,0,1,2,1,1,0,0,0,2,0,0,2,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,2,0,0,0,1,0,0,1,1,1,1,0,2,0,0,0,0,1,1,0,2,1,0,2,2,0,1,0,1,0,2,1,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,2,1,0,1,2,0,0,0,0,0,1,0,1,1,0,0,2,0,0,1,0,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,2,0,1,0,1,0,0,0,2,1,2,2,1,1,0,2,0,2,0,0,1,1,0,1,0,0,0,2,2,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0,2,0,0,1,1,0,0,0,0,1,0,2,0,0,1,2,0,0,1,0,0,1,0,1,2,2,0,1,0,0,1,0,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,1,1,0,0,0,0,1,0,2,0,1,2,0,0,0,0,0,0,0,0,1,1,2,0,1,2,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,2,0,0,0,0,1,1,0,2,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,2,0,0,0,2,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,2,0,0,1,0,0,0,1,0,0,0,0,0,2,1,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1 1,0,1,1,2,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,2,0,0,1,0,0,0,0,0,1,1,1,1,1,2,0,0,1,0,0,1,0,2,2,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,2,2,0,1,1,0,1,1,2,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,2,0,1,2,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,2,1,0,2,0,2,0,0,0,1,1,0,1,0,0,2,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,1,0,0,1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,2,0,0,1,0,2,0,0,1,0,0,0,1,2,0,1,1,0,1,0,0,0,0,2,0,0,0,1,1,1,0,1,0,0,1,0,2,1,0,1,0,1,1,1,0,2,0,2,0,0,1,0,0,0,1,0,2,1,0,0,0,0,0,1,2,1,0,0,1,1,0,0,1,2,0,0,1,1,1,1,0,0,1,0,0,0,1,1,1,1,0,0,1,0,1,0,0,1,0,2,2,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,2,1,0,0,0,1,0,0,0,0,1,1,1,0,1,1,1,0,2,0,0,1,0,2,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,2,0,1,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,2,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,1,2,1,1,1,0,0,2,0,0,2,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,1,2,0,0,2,0,1,0,0,1,0,1,0,2,0,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,2,2,0,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,0,2,0,0,1,0,0,1,0,1,0,2,0,0,0,2,0,1,1,0,0,2,2,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,2,1,1,0,1,1,0,1,0,1,1,2,0,0,1,0,0,1,0,1,1,0,1,2,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,2,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,2,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,1,0,0,0,2,0,0,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,2,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,2,1,0,0,2,0,1,2,1,1,1,0,0,0,1,0,0,0,0,2,1,0,0,0,1,1,1,1,0,0,0,0,0,2,0,2,0,0,0,0,1,0,1,0,1,1,0,2,1,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,2,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,2,1,1,2,1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0,2,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,2,0,0,2,0,0,0,1,0,1,1,0,2,0,0,0,0,0,0,1,0,0,1,2,2,0,1,1,0,0,0,1,0,0,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,2,0,2,0,1,1,2,0,0,1,0,1,1,1,0,0,2,1,2,0,2,1,1,0,0,1,1,1,0,0,2,1,0,0,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,2,1,0,2,1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,1,1 0,0,0,1,2,1,0,0,1,1,2,1,0,0,1,1,0,0,2,0,0,0,1,0,0,2,1,1,0,1,2,0,0,0,1,0,1,1,2,1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,1,2,1,1,0,0,0,0,0,2,1,2,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0,2,2,0,1,0,1,2,0,0,0,0,1,2,0,0,2,0,0,1,0,2,1,1,0,1,0,0,1,1,0,1,0,2,1,2,1,1,0,0,2,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,1,2,1,0,0,2,1,0,0,1,0,1,0,0,2,1,0,1,1,0,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,2,2,1,1,1,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,1,1,0,1,0,1,0,2,0,2,1,2,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,0,0,2,0,0,1,0,1,0,0,1,0,1,0,2,1,1,0,0,0,0,1,0,2,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,1,1,1,1,1,0,0,1,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,2,0,1,0,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,2,0,0,1,0,0,2,0,0,0,1,0,2,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,2,1,0,0,0,1,0,0,0,1,0,1,0,0,2,0,0,1,1,0,1,1,0,0,1,1,1,0,2,0,2,0,0,1,0,0,1,0,0,0,1,1,0,0,1,2,1,1,0,0,0,1,2,0,0,0,0,0,1,0,0,2,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,2,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,2,0,2,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,2,0,1,0,0,0,0,0,1,0,2,0,2,1,0,1,1,1,1,0,2,0,0,0,0,1,0,1,1,1,2,1,0,0,2,1,2,0,0,0,0,0,0,0,0,1,1,0,0,2,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,2,1,2,0,0,0,0,2,0,1,1,0,0,0,1,0,0,0,0,1,0,0,2,0,0,0,0,0,0,1,1,1,0,2,0,1,0,0,0,2,0,0,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0,1,2,1,0,2,0,0,0,1,1,1,2,1,1,1,0,0,1,1,1,0,0,1,2,1,0,0,1,1,0,2,2,0,0,0,1,2,1,0,1,1,1,0,1,0,0,0,2,0,0,1,0,0,0,0,0,1,0,2,0,1,1,0,0,0,0,1,1,0,0,0,1,1,2,1,0,1,0,0,1,0,1,2,0,0,1,0,0,0,2,1,1,1,1,0,1,0,2,1,0,0,0,0,1,0,1,1,1,1,0,1,0,0,2,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,1,2,1,0,0,1,0,0,1,0,1,0,0,2,0,0,1,1,2,0,0,1,1,1,2,0,2,0,0,1,0,0,0,0,1,0,1,0,0,1,0,2,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,2,0,0,1 0,0,1,0,2,0,0,0,1,0,1,0,0,1,1,0,0,2,0,0,0,1,0,0,2,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,1,2,0,0,1,0,0,0,0,1,1,0,1,1,1,0,1,1,2,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,1,2,0,0,0,0,1,1,0,0,1,1,1,0,0,1,2,0,0,0,0,0,0,0,2,1,0,1,1,0,1,0,0,0,0,1,0,2,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,2,0,1,2,1,1,0,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,2,0,0,0,1,0,1,2,0,0,1,2,0,0,0,0,2,1,0,0,1,0,0,1,0,0,0,0,0,1,2,1,1,1,1,0,0,0,2,1,2,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0,2,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,2,0,0,1,0,1,2,0,1,1,0,0,1,1,0,0,0,1,0,1,0,0,1,0,1,1,0,1,0,2,1,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,2,0,0,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,1,1,0,0,0,0,1,1,0,2,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,1,2,0,1,1,1,0,1,1,0,0,0,0,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,2,0,1,0,1,0,0,1,2,0,0,2,0,0,0,1,0,0,0,1,2,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,2,1,0,1,0,0,0,0,1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,1,0,0,2,0,1,0,1,1,0,1,0,1,0,0,2,0,1,2,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,2,0,1,0,0,1,0,0,1,0,1,0,2,0,2,1,0,0,1,1,1,1,2,0,1,0,0,0,1,1,0,1,1,2,0,0,0,0,0,1,2,1,1,0,0,0,0,1,1,0,0,2,0,0,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,1,1,1,2,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,2,0,0,1,0,0,0,0,1,0,0,0,2,0,1,2,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,1,0,1,2,1,2,1,2,0,0,1,0,2,0,0,0,1,0,0,2,2,1,0,0,0,1,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0,2,1,2,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,0,1,0,0,2,0,1,1,0,1,0,0,0,2,0,0,1,0,1,0,0,2,0,1,1,1,0,2,1,1,1,0,0,0,0,1,0,0,2,0,0,1,1,1,0,0,0,1,1,0,1,2,0,1,1,1,1,0,1,0,2,0,2,2,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,2,0,0,1,0,0,2,0,1,0,1,1,0,0,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,2,1,0,1,0,2,1,0,1,1,1,0,2,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,2,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,1,1,0,2,0,1,0,1,1,0,0,0,2,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1 0,0,0,1,0,0,0,0,1,1,2,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,1,2,1,1,1,0,1,1,1,0,0,0,2,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,2,0,0,0,0,1,1,0,0,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,2,0,1,0,0,0,2,0,0,0,0,1,2,0,1,0,1,2,0,1,1,0,1,0,1,2,0,0,0,0,1,1,0,1,1,2,1,2,0,0,0,0,1,2,0,0,1,0,0,1,0,0,0,0,1,2,1,1,0,0,2,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,1,1,1,1,0,1,1,1,2,1,2,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,1,1,0,2,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,1,0,0,0,0,1,2,0,0,2,0,2,1,0,0,1,0,1,1,1,0,0,2,0,0,2,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,2,0,1,0,0,0,0,2,0,2,0,0,1,0,1,0,0,0,1,0,0,2,1,1,0,0,2,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,2,1,2,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,2,0,0,0,0,2,0,1,2,0,0,1,0,0,0,0,1,1,0,1,2,1,0,0,0,2,0,1,0,0,0,2,1,0,0,1,1,0,0,2,0,1,0,1,1,0,1,0,1,0,1,0,0,0,2,0,0,0,1,1,1,1,1,1,1,0,0,0,1,1,2,1,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,2,1,0,1,2,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,2,0,0,0,1,0,0,0,0,1,1,0,2,1,0,0,1,0,0,0,2,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,2,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,2,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,0,0,1,0,0,1,1,0,2,1,1,0,1,2,0,0,0,0,0,1,0,0,0,2,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,1,1,2,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0,2,0,2,1,0,0,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,1,1,2,1,0,0,0,0,0,0,0,0,2,0,0,1,1,1,0,0,0,2,0,1,0,0,1,0,0,0,0,0,1,1,1,2,0,1,1,1,0,0,2,1,0,0,1,1,1,0,0,0,0,1,0,0,1,2,1,0,0,1,1,0,0,1,0,2,0,1,0,2,0,1,0,0,1,1,0,0,0,1,1,2,2,1,0,0,0,0,1,0,2,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,2,0,1,0,2,0,0,0,2,2,0,0,1,2,0,0,0,1,1,2,0,0,0,0,0,0,1,0,0,0,1,1,2,1,1,0,0,0,0,0,1,0,0,1,1,2,0,1,2,1,1,1,1,0,1,0,0,1,1,0,1,0,0,2,0,2,0,0,0,1 0,0,0,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,2,0,0,0,1,0,0,0,0,1,0,2,1,1,0,1,0,1,1,0,0,0,1,0,2,0,1,2,0,0,0,1,0,1,0,2,1,0,1,0,0,1,0,1,0,2,0,0,0,0,0,0,0,1,2,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,2,2,2,0,1,1,1,0,0,2,0,1,1,1,0,0,0,0,1,2,0,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,2,0,0,0,1,1,1,0,0,0,0,1,0,1,2,0,2,1,0,1,0,0,0,0,0,0,1,0,0,2,0,1,1,0,1,0,2,0,0,2,2,1,1,0,2,0,0,0,0,0,1,0,0,0,1,0,1,2,0,0,0,2,0,1,0,0,1,1,1,0,0,0,1,1,2,0,0,0,0,0,0,1,1,1,1,0,0,1,0,1,0,2,1,0,1,0,0,1,0,0,0,0,1,1,0,2,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,2,1,2,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,2,0,1,0,0,0,1,0,1,1,0,1,1,0,2,2,0,0,1,0,1,1,1,0,1,0,0,0,2,0,1,0,0,0,0,0,2,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,2,1,0,1,2,0,2,0,0,0,1,1,0,0,1,0,0,1,0,1,1,0,2,0,0,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,1,2,0,1,1,0,1,1,0,1,2,0,1,1,0,0,1,0,2,0,0,0,0,2,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,2,0,0,0,2,1,2,0,1,2,0,1,1,1,0,0,1,1,2,1,0,1,1,0,2,1,1,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,2,0,0,1,1,1,0,0,0,1,0,0,0,0,0,1,2,1,2,2,1,2,1,1,1,0,0,1,0,0,1,1,1,1,1,2,0,0,0,0,2,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,1,0,2,1,0,1,0,0,0,0,2,0,1,0,0,1,2,0,1,2,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,2,0,1,0,1,1,2,0,1,1,2,1,2,1,2,1,0,0,0,1,1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,2,0,1,1,0,0,0,0,1,0,0,1,2,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,2,1,2,0,1,0,1,0,0,0,1,0,0,1,2,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,2,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,2,0,1,0,0,1,1,0,0,1,2,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,2,1,0,0,0,2,1,1,1,2,1,1,0,0,2,1,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,1,2,1,0,0,0,1,0,0,0,0,1,1,0,1,0,1,2,1,0,1,0,1,0,1,0,1,2,0,1,0,0,0,0,1,2,0,1,1 1,0,0,1,0,0,2,0,0,0,2,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,2,0,0,1,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,2,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,2,0,1,0,0,0,2,0,1,1,1,0,0,0,2,0,0,1,1,0,1,1,1,1,1,2,0,2,1,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,2,2,0,2,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,2,1,1,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,1,1,2,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,2,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,2,0,0,1,1,0,0,0,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,2,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,2,0,0,1,0,1,0,0,1,0,0,0,0,2,1,0,0,1,1,1,0,0,0,0,0,1,1,1,2,0,1,1,0,1,1,0,0,1,2,0,0,0,2,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,0,1,2,0,0,0,0,1,2,0,0,0,0,0,1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,1,1,1,2,1,0,1,2,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,2,1,0,0,1,1,0,2,2,1,1,0,2,0,1,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,2,2,1,0,0,0,1,1,2,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,2,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,1,0,1,0,1,1,0,0,2,0,0,0,2,0,1,1,0,1,2,0,1,0,1,1,0,1,0,0,0,1,1,1,0,1,2,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0,2,0,2,1,1,1,0,0,1,0,0,0,0,0,1,0,2,0,2,1,1,0,1,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,1,1,0,0,1,2,1,2,0,0,0,0,0,0,1,0,2,1,0,0,1,2,1,0,2,0,0,0,2,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,1,1,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,2,1,1,0,1,0,2,1,0,0,0,2,0,0,1,0,2,1,0,0,1,1,0,1,1,2,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,1,1,2,0,1,1,0,0,0,0,2,1,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,2,1,0,0,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,2,1,0,0,0,0,0,1,0,1,2,0,0,0,1,1,0,1,1,0,0,2,0,0,2,1,0,1,2,0,0,0,0,1,1,0,2,1,0,0,0,2,1,0,1,0,0,0,1,1,2,2,1,1,0,0,1,0,1,1,1,0,0,0,1,2,0,2,0,1,2,2,1,0,0,0,0,1,1,1,1,0,0,1,0,1,1,0,2,1,1,0,1,1,1,1,0,0,0,1,0,2,1,0,1,0,0,1,0,0,1,0,0,2,0,0,1,0,1,2,2,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1 0,0,1,1,1,0,0,1,1,1,2,1,0,1,1,0,1,1,0,0,0,1,0,0,2,0,0,2,0,1,2,0,1,0,0,0,2,1,2,0,1,1,0,2,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,0,1,1,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,2,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,1,2,1,2,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,1,0,2,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,2,1,1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,2,1,0,2,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,2,0,0,1,0,0,1,0,0,1,2,0,1,0,0,0,0,1,2,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,2,2,1,0,0,1,1,1,0,2,1,0,0,0,1,0,0,0,1,0,0,1,1,0,1,1,1,0,1,1,2,0,0,1,1,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,1,2,1,0,2,2,0,0,0,1,1,1,2,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,2,1,2,1,1,1,1,1,1,0,0,2,0,1,1,2,0,2,1,1,2,2,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,2,2,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,2,0,0,0,1,0,1,2,0,0,0,1,1,0,1,1,2,0,0,0,0,0,2,0,0,0,2,2,0,2,0,1,1,1,2,1,1,1,0,0,0,1,2,0,1,0,0,1,1,0,0,1,2,1,1,1,0,1,1,2,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0,2,0,2,0,1,0,0,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,1,2,1,2,1,1,0,2,1,0,2,2,1,0,2,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,1,0,2,1,0,0,1,2,0,1,1,0,0,1,0,1,0,2,0,0,0,1,1,0,0,0,1,0,2,0,1,0,0,0,0,0,1,0,2,2,2,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,2,0,2,0,1,0,0,0,0,0,0,1,1,2,1,0,0,0,0,0,2,0,2,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,0,0,1,1,0,2,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,1,1,1,1,0,2,0,2,0,0,1,0,0,0,0,1,1,1,0,1,1,0,2,1,0,1,1,0,0,1,0,2,1,1,1,0,0,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,2,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,2,0,1,2,0,1,0,1,1,1,0,0,0,2,1,0,0,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,2,0,0,0,0,1,0,1,2,1,0,1 1,0,0,2,0,0,0,0,0,0,0,1,1,1,2,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,2,1,0,0,2,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,2,2,0,2,0,0,0,0,0,2,1,1,0,0,0,1,1,1,0,1,0,1,1,2,0,0,0,0,0,1,0,1,0,1,1,0,0,2,1,0,1,1,1,2,1,1,0,0,0,0,0,2,1,0,1,0,0,0,0,0,2,0,0,1,0,0,2,0,0,0,0,2,1,2,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,2,0,1,0,0,1,0,1,0,1,2,0,1,0,1,1,2,1,0,1,1,2,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,2,1,0,0,2,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,0,2,1,1,1,0,2,1,1,1,0,0,0,0,1,0,2,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,2,1,1,1,0,0,2,1,1,0,0,0,0,2,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,2,1,2,1,0,0,0,0,1,0,0,1,1,1,1,1,2,0,2,0,1,1,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,1,0,1,1,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,1,1,0,2,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,1,2,0,1,1,1,0,2,0,0,0,0,0,0,1,2,2,0,0,0,1,0,2,1,1,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,1,0,2,0,0,0,0,1,0,0,1,0,0,0,2,0,1,0,2,0,0,1,1,0,1,1,0,0,2,1,0,1,2,0,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0,2,0,1,2,0,0,1,0,1,1,1,1,1,2,0,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,1,0,0,0,0,1,1,0,1,1,0,1,2,0,1,0,2,0,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,2,1,1,1,1,0,0,1,0,2,1,0,1,0,0,0,2,0,1,0,0,0,1,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,2,2,0,0,0,2,0,1,0,0,0,0,1,0,1,1,0,1,0,2,0,1,0,2,0,0,0,0,2,2,1,1,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,1,1,1,0,1,2,1,1,0,0,0,1,2,1,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,2,0,2,0,2,0,0,1,0,0,2,1,1,0,1,0,0,0,1,2,0,2,2,0,0,0,0,0,0,1,0,1,1,0,0,2,1,0,1,0,0,0,0,0,2,1,1,0,2,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,1,2,0,1,0,0,2,2,1,1,0,0,0,0,0,1,0,0,0,0,1,2,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,2,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1 1,0,0,0,0,0,1,1,0,1,2,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,2,1,0,0,1,0,0,0,0,0,1,0,1,1,1,2,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,2,1,0,0,1,0,1,1,1,0,0,2,1,0,0,0,1,2,0,0,1,1,0,0,1,0,0,0,2,0,1,0,2,0,0,1,1,1,1,0,0,1,0,1,0,1,0,2,1,0,0,2,0,0,2,1,2,0,0,0,1,1,2,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,2,2,0,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,2,0,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,2,1,0,1,0,2,0,1,0,2,0,2,0,0,0,0,0,1,0,0,1,1,0,0,0,1,2,0,1,1,0,2,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,2,1,0,1,1,1,2,2,1,0,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,2,0,0,2,0,0,0,0,2,0,0,0,0,1,1,0,1,1,1,1,0,1,1,0,0,2,1,1,0,2,1,1,0,1,2,0,1,1,0,0,0,0,1,2,2,0,0,0,1,0,0,0,1,2,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,2,0,0,1,0,0,2,2,0,1,0,0,2,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,2,0,1,2,1,1,1,2,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,1,0,2,0,1,0,1,0,2,0,0,2,1,1,0,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0,1,1,1,0,2,1,1,0,0,0,1,1,0,0,0,1,0,1,1,2,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,2,0,1,0,0,0,0,0,0,2,0,1,0,0,2,0,0,0,1,1,0,1,0,1,0,0,1,2,0,0,1,0,2,0,0,1,0,1,0,0,0,1,1,0,1,1,0,1,1,1,0,0,1,1,0,0,2,0,2,0,0,2,0,0,1,2,1,0,1,1,1,0,0,0,1,1,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,2,0,0,1,0,0,0,0,2,1,2,0,0,2,1,1,2,0,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,1,0,0,2,1,1,2,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0,1,2,2,0,0,1,0,0,0,0,1,0,0,0,2,1,0,1,1,1,1,0,1,1,1,1,1,2,0,0,0,0,0,2,1,1,0,0,0,0,0,1,1,0,1,2,1,1,0,1,1,2,0,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,2,1,1,1,1,0,0,2,0,2,0,1,0,0,0,0,1,1,1,0,2,2,2,0,1,1,1,0,1,1,2,0,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,2,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,2,1,0,0,1,2,1,0,2,0,1,1,1,0,0,0,0,1,2,2,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,2,1,1,0,0,0,1,0,0,0,2,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,2,0,0,0,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1 1,0,0,0,0,0,0,2,1,0,1,0,0,2,1,0,2,0,0,0,0,0,0,0,1,1,1,2,1,0,0,0,2,1,0,0,0,0,0,1,1,0,2,0,0,1,1,1,0,0,1,0,0,0,1,0,1,0,1,1,2,0,0,0,0,1,1,1,2,1,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,2,1,2,1,0,2,0,0,0,1,0,1,2,1,1,1,0,0,0,1,0,2,0,1,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0,2,0,2,0,0,0,0,0,1,2,1,0,1,1,1,0,2,1,0,1,2,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,2,0,0,0,0,1,0,1,0,0,0,0,1,1,1,2,0,0,0,0,0,0,0,1,0,2,0,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,2,1,1,1,1,1,0,1,2,0,0,0,2,0,0,0,1,0,0,1,0,0,2,1,0,2,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,2,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,0,2,0,0,0,1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,2,1,0,1,1,0,0,1,1,0,1,0,1,0,1,1,0,2,1,0,0,0,1,0,0,1,2,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,1,1,0,2,0,2,0,0,1,0,0,0,1,0,1,0,1,0,2,1,0,0,0,1,1,1,0,0,1,1,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,2,1,2,0,0,0,1,0,0,1,0,1,0,0,0,2,1,0,0,1,0,0,1,0,1,2,0,2,0,1,0,0,0,0,0,1,1,0,0,1,2,0,1,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,2,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0,2,1,0,0,0,1,0,1,0,0,1,2,0,0,1,0,1,0,0,2,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,2,0,1,0,0,2,0,2,1,1,1,0,0,1,1,1,0,0,2,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,1,0,1,2,0,0,0,0,0,2,1,0,2,1,0,2,0,0,0,1,0,1,0,1,0,0,0,0,0,2,0,1,1,2,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,1,1,1,1,0,2,0,1,0,1,1,1,0,1,0,0,2,0,0,0,2,0,0,1,0,0,1,1,1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,2,0,0,1,0,0,1,2,1,0,0,1,0,0,1,0,1,2,2,1,0,0,1,0,2,0,1,1,1,2,0,2,0,0,1,1,0,0,1,0,2,1,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,2,1,1,2,0,0,0,2,0,2,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,2,0,1,0,0,0,1,0,1,0,0,0,0,0,1,2,1,0,0,0,1,0,1,2,2,0,0,1,0,0,1,1,0,1,1,2,0,1,0,1,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,2,0,0,1,1 0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,2,2,1,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,1,0,0,1,0,0,1,1,1,1,1,1,0,1,0,0,0,1,2,1,0,1,0,0,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,2,0,1,2,2,0,1,1,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,1,2,1,0,0,1,0,1,0,0,0,2,1,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,1,1,1,2,1,0,1,0,0,0,0,1,0,2,0,2,2,0,1,0,0,0,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,2,0,1,1,0,1,0,2,0,0,2,0,1,0,0,1,0,1,2,1,0,1,1,0,0,0,2,0,1,1,0,0,1,0,1,1,1,1,2,1,0,0,0,1,0,0,0,0,2,1,1,0,0,0,1,2,1,1,0,2,1,1,0,1,0,1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0,2,0,1,1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0,1,1,1,0,0,1,1,0,0,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,2,1,0,1,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,1,2,0,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,2,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,2,1,1,0,0,0,1,0,2,1,0,0,2,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,1,0,2,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,2,0,2,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,2,2,1,1,2,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,2,1,0,0,0,1,2,0,0,1,0,1,0,0,0,0,0,0,0,2,1,0,1,0,0,0,1,1,1,0,2,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,2,0,1,1,1,1,1,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,2,0,1,1,0,0,2,0,1,0,2,1,1,0,0,0,1,0,1,0,1,1,0,2,1,1,0,1,0,1,1,1,2,2,1,0,0,0,0,1,1,2,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,2,2,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,2,1,0,2,1,0,0,1,0,1,0,0,2,1,0,1,1,0,0,0,0,0,2,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,2,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,2,0,0,1,2,1,1,2,2,0,1,1,0,0,0,0,0,1,2,1,1,1,0,2,0,0,2,2,0,0,0,0,2,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,2,1,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,1,2,0,2,1,1,0,0,1,0,2,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,2,1,0,0,1,1,1,0,1,2,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,2,0,0,1,0,2,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,2,0,0,0,1,1,1,2,0,2,1,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1 1,0,1,1,0,0,0,0,2,0,0,2,0,2,1,0,0,0,1,0,0,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,2,0,1,2,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,2,0,0,0,1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,2,0,1,0,1,1,0,0,1,1,0,2,1,0,0,0,0,1,0,0,0,0,1,0,1,2,1,0,2,1,0,1,0,2,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,1,0,1,1,1,1,1,0,2,2,0,0,1,1,1,1,0,0,0,0,0,2,1,2,1,0,1,1,2,0,0,1,1,2,0,0,1,1,1,0,1,1,0,1,1,2,0,0,0,0,1,1,0,0,1,1,0,1,1,2,1,0,0,0,0,1,0,0,0,1,1,1,1,0,1,0,1,1,1,0,1,1,2,0,0,1,0,0,2,1,0,0,0,1,1,1,2,1,1,0,0,1,0,2,0,0,0,0,2,0,0,2,0,0,0,2,1,1,0,0,0,1,0,1,0,1,0,0,0,0,2,1,0,1,0,0,1,0,1,0,0,1,1,0,1,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,2,1,0,1,2,0,1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,1,2,0,1,2,1,1,1,0,0,2,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0,2,0,1,0,0,1,0,2,0,0,0,1,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0,0,1,0,1,0,0,0,1,0,1,1,1,2,0,0,0,0,0,1,0,0,0,2,1,1,0,1,0,1,0,0,0,1,0,0,0,2,1,1,1,1,1,1,1,2,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,2,1,1,0,0,1,1,0,0,0,0,0,0,1,2,0,1,0,0,0,0,0,1,1,1,0,0,0,1,2,2,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,2,1,0,2,1,0,0,1,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,1,1,0,0,2,0,1,1,0,1,1,0,2,1,0,0,0,1,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,1,2,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,2,1,1,0,0,2,0,1,0,1,1,1,0,1,0,0,0,0,2,0,1,0,1,0,0,0,0,1,1,0,1,0,0,1,1,1,1,1,1,0,0,1,0,2,2,1,0,1,0,2,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,2,2,0,0,0,2,0,0,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,1,1,1,2,1,1,0,0,2,0,0,0,1,0,0,0,0,2,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,2,2,0,1,2,1,1,0,2,0,1,1,1,0,2,0,1,0,0,2,0,1,0,0,1,1,2,1,1,0,0,1,2,1,2,0,0,0,1,0,0,1,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,2,0,0,1,0,0,0,0,0,1,0,0,1,0,0,2,1,0,0,0,1,1,1,0,2,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,2,0,0,1,2,0,1,1,0,0,0,0,0,0,0,1,1,0,1,1 1,0,1,1,1,0,0,0,0,2,2,0,0,2,0,0,1,1,0,0,1,2,1,0,0,1,1,1,0,1,0,0,1,2,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,2,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0,1,1,1,1,0,1,2,1,0,0,1,0,0,1,1,0,2,1,0,0,1,1,0,1,0,0,0,2,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,2,0,2,2,1,1,1,1,0,0,0,0,0,1,0,2,2,0,1,0,0,1,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,1,0,0,1,0,1,2,0,0,0,0,0,2,0,0,0,1,0,0,2,0,0,2,0,0,0,1,0,0,1,2,2,0,1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0,0,2,0,0,1,0,1,1,1,0,2,0,2,0,2,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,2,0,1,2,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,1,1,1,0,0,2,0,0,2,2,0,1,0,0,0,0,0,1,0,1,0,2,1,1,0,1,0,0,0,1,2,0,0,0,0,0,2,0,0,1,1,1,1,1,1,2,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,2,1,1,0,0,0,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,2,0,1,0,0,0,0,0,2,1,0,0,1,0,0,0,1,1,1,0,2,1,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,2,1,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,1,2,1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,1,2,0,0,0,0,0,1,2,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,1,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0,2,1,0,2,0,0,1,1,0,0,1,1,0,0,1,2,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,2,1,0,2,0,1,0,1,1,2,0,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,2,1,0,1,0,1,0,0,0,1,1,0,0,2,0,2,0,1,1,0,0,2,1,1,0,1,1,0,0,0,0,1,0,0,2,0,2,0,0,1,0,0,0,0,0,0,2,0,2,0,1,0,0,1,1,0,0,0,0,0,0,2,0,0,1,1,0,1,0,1,2,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,2,0,0,0,0,0,0,0,2,0,1,1,0,1,0,0,0,0,0,0,1,1,1,1,0,0,2,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,1,2,0,0,1,0,1,1,0,1,0,0,1,2,1,0,1,0,1,2,1,0,0,1,0,0,1,0,1,0,2,2,0,0,2,2,0,0,0,1,1,1,0,0,0,2,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,2,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,2,0,0,0,1,1,2,0,0,0,1,0,0,1,1,2,2,0,0,1,0,0,0,0,0,0,1,0,0,1,2,0,0,0,2,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,1,1,0,2,0,1,2,0,0,0,1,1,1,1,0,1,2,0,1,0,0,1,1,1,0,0,0,0,2,1,1,1,0,0,1,0,1,1,0,0,1,0,0,2,1,0,1,1,0,1,0,0,1,0,0,0,2,1,0,0,1,0,0,1,2,1,1 0,0,1,1,1,0,1,1,1,1,1,0,0,1,2,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,2,2,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,2,1,1,0,0,1,0,1,0,0,1,2,0,0,1,1,0,0,0,1,1,0,2,0,0,0,1,0,0,2,0,0,0,2,0,0,2,0,0,1,0,2,1,1,0,0,1,2,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,1,2,2,0,1,0,0,2,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,2,1,1,1,0,0,0,2,1,0,2,1,2,2,0,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,2,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,2,1,1,0,0,0,1,1,2,1,1,1,0,0,0,0,1,0,0,1,1,1,0,2,0,0,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0,2,1,1,1,0,1,1,0,1,1,0,0,0,0,2,1,1,0,0,1,0,0,0,0,0,1,1,0,1,1,1,2,0,0,1,0,0,1,0,1,2,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,2,1,1,0,1,0,1,1,1,0,0,0,2,2,0,1,2,0,1,0,1,1,0,2,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,2,0,1,1,1,0,1,2,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,2,1,1,1,2,0,0,2,2,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,2,0,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,2,0,0,1,2,1,1,1,0,1,2,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,1,2,1,1,0,2,0,0,1,0,0,0,0,1,0,1,0,1,1,2,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,1,2,0,1,0,0,2,0,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,2,0,1,2,0,0,0,0,1,0,1,0,1,0,1,0,0,2,0,0,0,0,0,1,1,1,0,1,1,1,0,0,2,0,1,0,1,1,0,2,0,0,0,0,1,1,1,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,1,1,0,0,2,0,0,0,0,2,1,1,2,1,1,0,1,0,0,1,1,0,2,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,2,0,0,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,1,2,0,1,2,0,0,1,1,1,2,0,2,1,0,0,0,0,1,1,0,0,1,2,0,1,0,1,1,1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,1,2,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,2,0,0,1,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,1,2,1,0,2,0,0,0,2,0,0,1,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,2,0,1,1,0,0,0,0,2,2,2,0,1,0,1,1,0,2,0,0,1,1,0,0,0,1,2,1,0,1 0,0,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0,2,0,0,1,0,0,0,1,1,2,0,1,0,0,1,0,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,2,1,1,0,0,0,1,0,1,1,1,0,0,0,2,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,2,0,1,2,1,1,1,1,1,0,0,1,1,1,0,1,1,1,0,1,1,1,2,0,0,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,1,2,0,0,1,1,1,0,1,1,0,2,0,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,0,1,2,1,0,1,1,0,1,1,1,0,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,1,1,1,1,0,1,2,1,0,1,0,0,0,1,2,0,1,1,0,0,2,1,0,0,1,0,0,1,1,1,1,0,1,1,0,0,1,1,0,1,2,0,1,0,2,0,1,1,1,1,0,0,0,0,0,0,0,2,0,2,1,1,0,0,1,0,2,0,1,1,0,1,0,2,1,2,0,0,0,1,0,1,0,0,0,2,0,1,0,2,1,0,1,1,2,1,0,0,0,1,0,0,1,1,0,2,0,0,1,2,0,1,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,2,0,0,0,1,0,0,0,0,1,1,0,0,1,2,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,2,2,0,1,2,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,2,1,0,0,0,1,0,0,0,0,1,2,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,2,0,0,2,1,0,2,0,0,0,1,0,0,0,1,2,0,2,1,0,0,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,2,0,0,0,1,0,0,0,0,0,0,1,0,1,2,0,1,0,1,0,0,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,1,1,1,1,1,0,2,1,1,1,1,0,1,0,0,1,2,0,2,1,1,2,0,1,2,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,1,0,0,2,0,1,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,1,0,1,0,0,0,2,1,1,0,0,2,1,1,0,0,2,1,1,1,0,2,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,2,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,1,2,2,1,0,1,1,1,0,1,0,1,0,1,0,1,0,2,0,0,1,0,2,0,1,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0,0,1,1,0,0,2,0,0,1,0,0,1,1,0,0,0,0,0,0,2,0,1,1,0,0,0,0,0,1,1,0,1,2,1,1,0,1,1,1,0,0,2,0,2,2,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,2,0,0,0,0,1,1,1,0,2,0,1,1,0,2,1,0,2,1,0,1,0,0,1,0,1,0,0,0,1,1,0,1,2,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,2,1,2,0,1,0,0,1,1,1,1,0,1,0,1,2,1,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,1,0,1,0,0,0,2,2,0,1,0,2,0,1,2,0,0,0,1,1,1,0,0,2,1,1,0,0,0,1,2,0,2,0,0,1,0,0,2,0,1,2,1,0,1,2,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,1,0,1,1 1,0,2,1,0,0,0,1,1,0,1,0,1,0,1,2,0,0,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,1,1,0,1,0,2,0,0,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,2,1,0,1,0,0,0,0,2,1,1,1,0,1,1,1,1,0,2,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,2,2,0,1,0,0,0,2,0,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,2,0,0,1,0,0,0,0,1,0,2,0,1,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,2,0,2,0,2,0,1,0,0,0,0,2,1,0,0,0,0,0,1,0,2,1,0,1,1,2,1,0,0,0,0,1,0,0,2,1,0,1,0,0,0,1,2,0,0,1,1,1,0,1,0,1,0,1,0,0,0,2,0,1,1,1,1,0,0,0,0,0,0,0,2,0,1,2,1,0,1,1,1,0,0,1,0,1,0,2,1,0,0,0,2,1,1,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,1,2,1,0,1,0,1,1,1,1,0,0,1,0,2,1,0,0,0,1,0,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,2,0,1,1,1,1,0,0,2,0,0,0,0,1,0,0,0,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,2,0,0,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,2,1,1,0,0,0,0,1,1,1,0,2,0,0,0,2,0,0,1,0,0,0,0,2,0,1,1,0,0,0,2,1,1,1,0,0,0,0,1,1,0,0,0,2,0,0,1,2,1,0,0,0,0,1,0,0,1,2,1,1,0,0,1,1,0,2,2,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,1,1,1,0,0,0,1,0,0,0,0,1,2,0,0,0,1,0,0,1,1,0,1,0,1,0,2,1,0,0,1,2,0,0,1,1,0,1,0,0,0,1,1,0,2,0,1,0,1,2,0,0,0,2,1,1,0,0,0,2,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,1,0,0,0,1,1,0,0,2,2,1,0,2,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,2,1,1,0,1,1,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,1,1,1,2,0,1,0,2,0,0,0,0,0,0,1,0,1,0,2,1,0,0,0,0,1,1,0,2,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,2,1,1,0,1,1,0,2,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,1,1,2,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,2,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,1,1,1,0,2,1,0,0,0,0,0,1,1,1,1,2,2,0,1,0,0,1,0,0,0,1,0,0,0,2,2,1,0,1,0,2,1,1,2,1,0,0,1,2,0,0,2,1,0,0,0,1,0,0,0,0,1,1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,2,0,1,1,0,1,0,0,0,0,1,1,1,0,1,1,1,2,0,1,1,1,0,1,0,1,2,0,2,1,0,0,1 2,1,1,0,1,0,0,0,2,2,1,1,0,2,2,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,2,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,1,0,2,0,0,0,0,0,2,0,0,0,0,0,2,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,1,0,1,0,1,2,0,0,0,0,1,0,1,1,0,0,2,0,0,0,0,1,0,2,0,1,1,1,1,1,2,0,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,2,1,1,0,0,1,0,2,0,0,0,0,1,1,0,1,0,1,1,1,2,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0,0,2,1,0,0,0,0,0,0,2,0,0,2,0,0,0,1,1,0,0,2,2,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,2,0,0,0,1,0,1,1,0,2,0,0,1,0,2,1,0,0,0,0,0,2,1,0,1,0,2,1,1,0,1,0,0,1,1,0,1,2,0,2,1,0,0,0,1,1,1,2,1,1,0,0,0,0,1,0,1,2,0,1,1,0,2,0,0,1,0,0,2,0,0,1,0,0,0,0,1,1,0,1,2,1,1,1,1,0,0,1,0,2,0,0,0,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,2,2,0,0,1,0,0,1,1,0,0,0,0,1,0,1,2,0,0,0,1,0,0,1,1,1,0,1,1,2,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,2,2,0,2,0,0,0,0,0,0,1,2,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0,2,0,1,1,0,1,0,0,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,2,0,1,0,1,0,1,1,1,2,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,1,1,2,0,0,1,0,2,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,1,1,1,0,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,2,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,1,1,0,1,1,2,0,0,0,1,2,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,2,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,2,2,0,0,0,0,0,1,0,1,1,0,1,1,2,0,2,0,2,1,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,1,1,1,0,2,1,1,2,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,2,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,0,1,2,0,0,0,1,0,2,1,0,0,1,1,1,0,0,2,0,0,0,0,0,2,0,1,0,0,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,1,1,2,0,1,1,1,1,1,1,0,0,0,0,2,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,2,1,1,1,0,1,0,0,2,2,0,0,0,0,2,1,0,1,0,2,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,2,0,2,1,0,1,0,0,1,0,0,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,2,0,0,1,1,0,2,1,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,1,1,0,1 1,0,1,0,0,0,2,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0,2,0,0,1,0,1,1,2,0,0,1,0,0,0,1,0,0,0,0,0,2,1,0,0,0,1,0,0,0,1,1,0,2,1,0,0,0,0,0,0,0,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,1,0,2,1,1,1,0,0,0,1,0,0,0,0,1,1,1,1,0,1,0,0,1,2,0,0,0,2,0,1,0,1,0,2,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,2,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,2,0,0,0,0,0,0,1,0,1,0,0,1,1,0,2,0,1,1,1,0,0,0,0,0,0,0,1,0,2,1,0,1,1,2,1,0,1,0,1,1,0,1,1,1,0,2,1,1,0,0,0,0,0,2,1,2,0,0,0,2,0,1,0,2,0,0,1,0,0,0,2,0,0,0,1,0,1,2,2,1,0,0,1,0,0,0,2,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,2,0,0,0,0,1,0,0,0,1,2,0,1,0,0,0,2,0,0,0,1,0,1,0,0,1,2,0,2,1,0,2,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,1,1,1,0,0,2,1,1,0,1,1,0,0,0,1,0,1,1,1,2,0,2,1,1,0,1,2,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,2,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0,2,1,2,0,0,2,0,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,1,0,1,0,1,1,0,0,1,2,0,0,1,0,0,2,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,2,0,0,1,1,1,0,1,1,1,0,2,0,2,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,2,0,1,0,0,1,1,1,0,1,0,1,1,1,1,0,1,0,1,0,2,1,0,0,0,1,0,2,0,1,1,0,0,0,2,0,1,0,0,0,2,0,1,0,1,0,0,0,1,1,1,1,1,1,0,0,2,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,1,1,0,2,0,1,0,0,1,1,0,1,1,1,2,1,0,0,0,2,0,1,0,0,2,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,2,1,1,1,0,1,1,1,0,0,0,0,2,2,0,1,1,1,1,2,0,1,0,0,2,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,2,1,0,0,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,2,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,2,1,1,0,0,0,0,0,0,0,0,1,1,1,2,1,1,1,0,0,1,0,1,0,2,1,0,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,2,2,1,0,0,0,1,0,2,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,2,0,1,2,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,2,1,0,1,0,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,2,0,1,1,0,0,2,1,1,0,2,1,0,0,1,0,1,0,0,1,0,0,0,1,2,0,0,0,0,1,1,1,1,1,0,0,0,0,2,0,1,1,2,2,0,1,1,2,1,1,1,0,2,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1 1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,1,0,2,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,2,0,1,0,1,1,1,0,0,1,0,0,0,0,0,2,1,2,0,0,1,1,1,2,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,2,0,1,0,0,1,1,2,1,1,0,0,0,1,1,1,0,1,1,0,2,1,2,1,0,0,1,0,0,2,0,2,0,1,0,1,2,0,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0,1,2,1,0,0,1,0,0,2,0,0,0,1,0,0,0,0,2,1,0,0,0,1,0,1,1,0,2,1,0,1,2,0,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,2,0,1,1,0,0,0,1,1,0,1,0,2,1,1,0,0,1,0,0,0,1,2,0,1,1,0,1,1,0,0,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,2,1,1,2,1,1,0,1,0,0,1,0,0,0,2,0,1,1,0,0,0,0,1,1,1,0,0,1,0,0,1,2,2,0,0,1,1,0,0,2,0,0,1,0,0,1,0,1,1,2,0,0,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,2,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,2,0,0,1,2,0,2,2,0,0,0,1,0,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,2,1,1,0,1,1,0,2,0,0,0,0,2,1,0,0,2,1,0,0,0,0,0,0,0,2,0,0,0,0,2,1,2,1,0,1,1,0,2,1,0,1,2,1,0,0,0,0,1,1,0,0,0,0,2,0,1,0,1,0,0,0,1,1,1,1,0,0,2,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,2,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,2,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,2,0,1,0,0,0,0,1,1,0,0,2,0,1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,2,0,1,2,0,0,1,2,1,2,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,1,0,2,1,2,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,2,0,0,2,1,2,0,1,1,0,2,0,0,0,0,0,0,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,2,1,2,1,1,1,0,0,0,1,2,1,1,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,2,1,1,0,1,1,0,0,0,2,0,0,2,1,1,1,2,1,1,0,0,0,0,1,1,1,0,0,1,0,0,1,2,2,0,0,0,0,0,1,0,1,2,1,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,2,2,0,2,2,0,1,1,0,0,2,0,0,0,2,1,1,2,1,0,0,0,1,2,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,1,0,0,0,0,2,1,1,2,2,1,1,1,0,1,2,0,1,1,0,0,0,0,1,2,2,0,0,1,2,1,0,1,1,1,1,1,1,1,0,1,2,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,2,2,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,1,2,0,1,0,0,0,0,1,1,2,1,1,1,0,0,1,1,2,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0,1 1,0,0,2,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,2,0,1,1,1,0,1,0,1,0,2,1,0,2,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,2,2,0,1,0,0,0,2,0,1,2,0,0,0,0,0,1,0,0,2,0,0,0,1,1,0,0,1,1,1,0,1,0,1,2,0,2,1,1,0,1,0,2,0,1,0,0,0,1,0,2,2,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,2,0,0,0,0,1,2,0,0,0,1,0,1,0,2,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,2,0,1,0,0,1,1,0,0,1,0,1,0,0,0,0,2,0,1,1,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,2,0,0,1,2,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,2,0,1,0,1,0,0,0,0,1,0,0,0,1,0,1,1,2,0,1,0,1,0,2,0,0,0,1,0,1,0,2,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,2,2,0,0,0,0,0,0,1,0,0,0,0,0,2,2,1,1,2,0,0,0,0,1,1,1,1,1,0,1,2,0,0,0,1,2,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,2,1,0,0,2,0,1,0,1,0,2,1,0,1,0,0,2,0,0,1,0,1,1,0,0,1,0,2,1,1,2,2,2,0,0,1,1,0,1,0,2,0,0,1,0,0,0,0,2,0,0,0,1,0,0,2,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,2,0,2,0,0,0,1,0,0,0,0,2,2,0,1,2,0,1,2,1,2,0,1,0,1,2,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,1,2,1,0,1,0,1,1,1,2,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,2,1,1,1,0,0,1,0,0,0,1,0,1,0,0,2,0,0,0,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,2,2,0,1,1,1,2,2,0,1,0,1,2,2,0,0,1,0,1,1,0,0,2,0,0,0,0,0,1,1,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,1,2,2,0,1,0,0,0,0,2,1,0,1,1,0,0,0,1,1,1,0,0,2,0,0,0,0,1,0,2,1,1,0,2,0,0,1,1,0,1,2,1,1,0,1,1,0,0,0,0,0,1,0,2,0,2,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0,1,2,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,2,2,0,1,0,1,0,0,0,0,1,1,1,2,0,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,1,0,1,1,1,1,2,1,0,0,0,0,0,1,1,0,2,2,1,0,0,2,0,0,0,0,1,2,0,1,1,0,1,1,0,0,0,0,2,1,0,0,0,0,1,0,1,0,0,0,1,1,0,1,1,0,2,1,1,1,1,0,0,2,2,2,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,2,1,0,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,2,0,1,2,1,0,1,2,2,0,0,1,0,0,0,1,1,1,2,0,0,0,0,1,0,0,0,0,1,0,1,0,2,1,0,0,1,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,2,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,2,0,0,2,1,0,0,0,0,0,0,1,2,2,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1 0,0,0,2,1,0,1,1,0,0,2,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,2,0,2,1,1,0,1,1,1,1,1,1,1,1,0,2,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0,1,1,2,0,1,0,0,1,2,1,2,0,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,1,1,0,2,0,2,0,0,2,0,0,0,1,1,0,0,1,0,1,2,1,1,1,2,0,0,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,2,0,1,0,1,1,0,0,1,0,0,0,1,1,0,2,0,0,1,1,0,1,0,1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,1,2,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,2,2,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,2,1,2,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,2,0,1,1,0,0,0,0,2,1,0,1,0,0,0,2,0,1,1,0,0,0,0,2,2,1,0,0,2,1,2,0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,2,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,2,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,2,2,0,0,1,1,0,1,0,2,0,0,0,0,0,1,0,1,0,0,0,1,0,2,1,0,1,0,2,0,0,2,0,0,0,0,1,2,1,2,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,1,1,1,2,2,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,2,0,2,0,1,0,0,1,0,2,0,0,1,2,1,0,0,0,0,0,1,0,1,0,0,2,1,0,1,0,0,0,1,0,0,0,1,1,2,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,2,1,1,0,1,0,1,0,2,0,0,1,0,0,1,1,1,2,2,1,1,2,2,1,0,1,0,2,2,0,1,0,0,1,0,2,0,1,1,0,1,1,0,0,1,0,1,1,1,2,0,2,0,0,1,0,0,1,1,1,1,1,0,0,0,0,2,0,0,0,1,0,0,0,2,1,0,1,0,1,0,1,2,1,0,0,2,1,0,0,2,1,1,1,1,0,0,1,0,2,0,0,2,0,1,0,1,0,0,0,2,1,1,0,1,0,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,2,2,1,0,1,1,1,1,1,0,1,2,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,2,1,1,0,1,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,2,0,2,2,0,1,1,2,0,0,0,0,0,1,1,2,1,0,2,1,1,0,0,0,1,0,0,0,1,1,1,0,1,2,0,1,1,0,2,0,0,1,0,0,2,0,1,0,1,0,0,1,1,2,0,0,1,0,1,1,1,0,0,0,0,0,1,0,1,1,1,2,0,1,2,1,0,0,1,0,1,2,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,1,0,0,1,0,1,1,2,1,0,1,0,0,0,0,0,0,0,0,1,1,2,2,1,1,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,2,0,1,1,2,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,1,0,0,2,0,0,1,0,1,2,0,1,0,0,0,1,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,2,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,1 1,0,1,0,1,0,1,1,1,2,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,2,1,0,0,1,1,0,1,2,0,0,0,0,0,0,0,1,0,2,1,0,0,2,1,1,1,0,1,0,2,0,1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,1,1,2,1,0,0,1,0,0,0,0,0,1,0,1,1,1,0,2,1,2,1,1,0,0,1,1,1,1,0,2,1,0,0,0,0,0,0,2,2,0,1,2,0,0,1,0,0,0,2,0,1,0,1,1,2,1,2,0,0,2,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,2,1,1,1,1,2,0,1,1,0,1,0,0,0,0,1,2,0,0,0,1,0,0,0,2,1,1,0,2,0,1,0,2,0,2,0,1,0,0,2,1,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,2,0,0,0,1,0,1,2,0,1,0,0,2,1,1,2,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,1,0,0,1,2,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,2,0,0,0,1,1,0,0,1,1,0,0,0,0,1,1,1,0,1,1,0,0,2,0,0,0,0,0,0,1,0,1,0,0,1,1,2,0,1,1,2,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,2,1,0,1,1,1,1,0,0,0,0,1,1,2,0,2,1,0,0,2,1,1,0,1,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,1,0,2,0,0,0,1,1,1,1,0,2,0,2,0,0,0,1,1,0,1,0,0,0,0,1,1,1,1,0,1,2,0,1,0,1,0,2,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,2,2,1,1,1,0,1,0,0,1,1,1,0,0,0,1,2,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,2,0,0,0,0,1,0,0,2,0,1,0,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,1,2,0,0,2,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,2,0,0,0,1,1,0,0,1,0,0,2,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,1,2,0,0,0,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,2,0,0,1,0,0,1,0,1,0,1,0,0,0,0,2,1,0,0,1,0,1,1,0,0,0,0,0,1,1,1,1,2,1,0,0,0,0,0,1,0,1,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,2,0,0,1,0,0,1,1,0,1,1,1,1,1,0,0,0,2,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,2,1,0,2,1,0,0,2,2,0,2,1,2,0,0,1,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,2,0,1,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,2,2,0,1,0,0,0,1,0,0,0,1,0,1,1,2,0,0,1,0,0,0,1,0,0,1,1,1,2,0,0,1,2,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,2,0,1,0,0,0,0,1,1,1,1,2,0,0,1,1,2,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,2,1,1,1,1,1,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,1 1,0,2,1,1,1,0,0,0,0,0,1,0,1,2,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,2,0,0,0,0,2,1,1,2,2,1,2,2,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,1,2,1,1,0,1,1,2,0,1,1,0,0,0,0,0,1,2,1,1,0,0,0,1,2,0,0,1,1,0,0,0,0,1,0,0,1,2,0,0,0,0,0,1,0,1,2,0,1,1,1,2,0,0,1,0,1,0,1,0,0,1,0,0,1,0,2,0,0,2,0,1,0,1,0,1,1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,1,1,1,0,1,0,0,1,0,1,1,1,1,0,1,1,0,1,0,2,1,0,2,0,0,1,0,0,0,0,1,0,2,1,0,1,0,1,1,0,2,0,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,1,2,0,0,0,2,0,0,1,1,0,1,2,0,1,0,2,2,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,2,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,2,0,0,0,0,1,2,0,0,1,1,0,0,1,0,2,0,0,1,0,2,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,1,1,1,1,1,0,0,1,0,2,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,2,0,0,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,1,0,1,0,2,0,0,0,0,0,0,1,1,1,1,0,2,2,0,1,2,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,2,0,0,2,0,0,0,1,0,1,2,1,0,0,0,1,1,0,0,0,0,0,2,2,0,0,0,1,1,0,1,0,1,1,1,0,0,1,2,0,1,0,0,2,0,0,1,0,1,0,2,0,0,0,0,1,1,0,0,1,2,1,1,0,0,0,0,0,1,0,0,0,0,2,0,2,0,1,0,0,1,1,1,1,0,0,0,0,1,1,2,0,1,0,0,0,0,2,1,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,2,0,0,0,0,1,2,1,0,0,0,0,1,0,0,1,1,0,0,0,2,2,0,0,0,0,1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0,2,0,0,0,1,1,2,2,1,0,0,0,0,0,0,0,1,1,0,1,1,0,2,2,0,1,1,0,0,0,1,0,1,1,1,0,0,1,2,1,0,1,2,0,0,0,0,1,1,0,0,2,0,0,0,1,1,2,1,1,0,0,0,0,1,1,0,1,2,1,0,0,1,0,0,0,2,0,2,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,2,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,2,0,1,0,1,1,0,2,0,1,0,1,0,0,0,0,1,2,1,1,0,0,0,1,0,0,0,0,2,0,0,1,2,0,1,0,0,1,1,0,0,1,0,2,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,2,0,1,2,0,0,0,0,0,0,0,0,2,1,0,0,1,0,2,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,2,0,0,1,2,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,2,0,1,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1 0,0,2,1,0,0,0,1,0,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0,2,0,1,2,0,1,1,1,1,1,1,0,0,1,0,0,2,1,0,2,0,0,0,1,0,0,0,0,1,0,1,0,1,2,2,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,1,0,1,1,0,0,0,0,2,0,1,1,0,0,2,1,0,0,2,0,1,1,1,0,1,0,0,0,0,1,1,2,0,1,0,0,2,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,2,0,2,0,0,1,1,2,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,1,1,1,0,0,1,1,1,2,2,0,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,1,2,0,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,2,1,0,1,0,1,0,1,1,0,0,0,0,1,2,2,1,0,1,0,2,1,0,0,0,1,0,0,0,2,1,0,1,2,0,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,1,0,0,2,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,1,2,0,1,2,1,1,0,0,0,1,1,2,1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,2,0,1,0,1,0,0,1,1,1,0,0,0,1,1,1,2,0,0,0,1,0,0,1,1,0,1,1,1,0,1,2,0,0,1,0,0,0,1,0,0,1,0,0,0,2,1,2,0,2,0,0,1,2,0,0,2,2,1,1,1,0,1,0,2,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0,2,0,0,0,0,0,1,0,2,0,0,0,1,2,0,0,1,0,0,1,1,0,2,0,1,1,0,1,1,0,0,2,0,0,0,2,1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,2,1,0,0,0,0,1,0,1,0,1,1,1,1,0,0,1,0,0,1,2,1,0,0,2,0,0,1,0,0,2,0,0,1,0,1,0,2,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,2,2,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0,2,0,2,1,0,0,0,0,0,0,0,0,0,2,2,1,0,0,0,0,0,0,0,2,1,0,0,1,1,2,0,0,0,1,1,2,1,1,0,0,0,1,0,1,2,1,1,0,0,0,1,1,0,1,1,0,0,2,0,0,0,2,0,1,0,0,1,1,2,1,1,0,1,0,0,0,0,1,0,0,0,1,0,2,1,1,0,0,1,0,2,1,0,1,2,2,2,0,0,2,0,0,2,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,1,0,0,1,0,2,0,0,1,0,1,0,1,1,0,1,0,1,1,1,2,0,0,0,0,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,2,0,0,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,1,0,2,0,1,1,2,1,1,1,0,1,1,1,1,1,1,0,0,1,1,0,1,0,0,2,1,1,1,1,0,1,0,0,2,2,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0,1,0,1,2,0,1,1,0,1,0,2,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,0,1,1 1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0,1,1,1,1,0,2,1,2,0,0,1,0,1,0,1,0,1,0,0,2,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,2,0,2,0,1,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,2,1,0,0,0,0,2,0,1,1,2,0,0,1,2,1,0,0,1,1,1,0,1,2,1,0,0,1,0,0,0,1,1,2,0,0,1,1,0,0,0,1,0,2,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,1,2,0,0,0,1,0,0,0,1,1,2,0,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,1,1,1,1,0,1,1,2,0,1,0,1,0,0,2,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,1,1,2,0,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,2,2,0,0,1,0,0,2,1,1,2,0,0,2,1,0,1,1,1,0,0,0,2,1,0,1,0,0,0,0,1,2,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,1,0,2,0,0,0,0,1,2,0,0,0,0,1,0,2,1,2,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,1,2,0,0,0,1,0,0,0,0,0,1,1,2,0,0,1,1,1,0,0,1,1,1,0,0,0,2,0,0,0,1,2,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0,0,2,0,1,1,0,2,1,1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,1,1,2,1,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,2,0,0,1,0,1,0,1,0,1,1,2,0,0,1,1,1,1,1,2,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,2,0,0,0,0,1,1,1,0,0,2,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,2,0,0,1,1,1,0,1,2,0,0,0,1,0,1,2,0,0,1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,2,0,0,0,0,2,0,0,1,1,0,1,2,0,0,0,1,0,1,0,2,1,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,2,0,2,0,0,0,0,0,0,1,0,1,2,0,0,1,0,1,1,1,1,1,2,0,0,2,0,1,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,2,1,0,2,0,1,0,0,0,0,2,1,1,1,1,2,0,1,0,2,0,1,0,0,2,1,0,1,0,1,0,0,1,0,1,0,0,0,1,0,1,1,1,0,0,1,1,0,0,0,2,0,0,0,0,0,1,1,0,0,2,1,0,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0,0,2,0,0,2,0,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,2,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,2,0,0,0,0,1,2,1,0,0,0,1,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,1,1,0,0,2,0,0,1,0,0,1,0,1,0,1,0,0,0,2,0,2,1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,2,0,0,0,0,0,1,1,0,0,0,0,0,2,1,0,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1 0,0,0,0,1,0,0,1,1,0,0,1,2,1,1,0,0,1,1,0,0,0,2,1,0,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,0,2,0,1,0,0,1,0,0,0,0,0,2,1,0,0,0,1,1,0,1,0,0,1,1,2,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,0,0,1,2,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0,2,0,1,0,1,0,1,0,0,0,1,2,1,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0,1,1,1,0,1,1,1,0,0,2,0,0,0,1,0,1,0,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,1,0,1,0,0,0,0,1,2,0,1,0,1,2,0,1,0,0,1,1,2,1,1,0,1,2,1,1,1,1,2,1,1,2,0,1,0,0,1,1,2,0,0,1,0,0,0,1,2,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,2,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,2,0,0,2,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0,1,1,0,0,2,1,0,1,0,0,0,0,1,2,0,1,0,1,0,0,0,1,0,2,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0,2,1,0,1,1,0,0,0,1,2,0,0,0,1,1,1,1,0,1,0,0,0,0,0,1,0,0,2,1,0,1,0,0,1,0,1,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,2,1,1,0,1,0,0,1,2,1,1,0,0,0,0,1,0,0,1,0,0,2,1,0,1,0,1,2,0,0,2,0,0,0,1,1,2,0,0,2,1,0,1,1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,2,0,0,1,0,0,0,1,1,0,1,0,2,1,0,0,0,1,0,1,1,0,0,2,0,0,2,1,0,0,1,1,0,2,0,1,1,1,2,0,0,0,2,1,1,0,1,0,0,0,2,0,0,0,0,2,0,0,1,0,2,0,0,0,0,1,1,1,1,0,1,1,0,2,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,2,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,1,2,1,0,0,0,0,0,1,0,2,1,1,0,0,2,0,0,0,1,0,0,1,0,0,1,1,0,2,0,0,2,2,0,1,0,0,0,0,0,0,1,0,1,2,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,2,1,0,1,1,1,1,0,0,0,0,0,1,0,1,2,1,1,1,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0,1,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,2,2,1,0,1,0,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,1,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,2,0,1,0,0,1,0,0,1,0,1,0,0,0,2,0,2,2,0,1,0,0,0,0,0,2,2,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,1 0,0,0,1,1,0,0,0,1,2,1,2,0,1,2,0,0,1,0,0,0,0,1,1,2,0,2,2,1,0,2,0,1,1,1,0,1,2,1,1,1,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,2,0,0,2,1,2,0,1,0,0,0,0,0,2,1,2,0,2,0,1,0,0,1,1,0,0,0,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0,1,0,1,2,1,2,0,0,0,0,1,0,0,0,1,1,2,1,1,1,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,1,1,1,2,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,2,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,2,1,2,0,0,0,1,1,1,0,1,1,2,0,0,1,1,2,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,2,0,0,0,0,1,0,2,1,0,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,2,0,1,0,1,0,1,0,0,0,0,0,0,1,2,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,2,0,1,1,0,1,0,0,2,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,2,1,1,0,2,0,0,0,0,0,0,1,1,1,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,2,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,2,1,1,0,0,2,1,1,1,0,1,1,0,0,1,0,2,0,1,0,0,0,0,0,0,2,0,0,0,0,1,2,1,1,1,0,2,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,2,0,0,0,1,0,2,0,0,1,1,0,2,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,2,1,1,1,0,0,0,0,1,1,0,1,2,0,0,0,0,1,1,1,0,2,1,0,0,0,0,1,2,0,0,2,0,0,0,1,1,1,0,1,1,1,0,0,0,2,2,1,0,0,0,0,1,2,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,2,0,1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,1,2,1,0,0,1,0,2,1,0,0,0,0,0,1,1,1,0,0,0,0,2,1,1,0,1,1,1,0,0,0,1,1,2,0,0,1,2,1,1,0,1,1,1,1,1,0,0,1,1,0,1,0,2,0,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,2,2,0,1,0,1,2,1,0,0,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,2,0,0,1,0,2,1,2,0,1,1,2,0,0,2,2,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,2,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,1,1,2,1,0,0,0,0,0,1,0,1,2,0,2,0,0,0,1,1,0,0,1,1,0,0,2,0,0,0,0,0,0,0,0,1,1,1,0,1,1,1,0,1,0,0,0,1,1,2,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,1,0,0,2,0,2,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,2,1,0,0,2,1,2,1,1,0,1,0,2,1,0,1,0,1,1,0,2,0,0,2,0,0,2,2,1,1,1,1,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,2,0,0,1,1,1,2,0,0,2,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,1 0,1,1,1,0,0,0,1,1,0,1,1,0,2,1,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,2,0,1,0,1,0,2,0,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,1,2,2,0,0,0,0,2,0,0,1,2,0,0,0,2,0,1,0,0,0,1,0,0,1,0,1,2,1,0,1,1,0,0,0,1,1,2,0,0,1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0,2,0,1,1,0,2,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,2,1,1,0,1,1,0,1,1,1,1,0,1,0,1,1,2,1,0,1,0,1,0,0,1,1,0,2,1,0,0,2,2,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,2,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,1,0,2,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,2,0,0,1,1,2,0,1,0,1,1,2,0,2,0,0,0,0,0,0,0,2,0,0,0,0,2,1,0,0,1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,1,2,1,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,1,1,1,0,1,0,0,0,1,2,0,2,0,0,0,0,0,2,0,2,0,0,0,0,2,0,0,0,2,1,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,2,1,1,0,0,1,0,2,2,0,0,0,0,0,1,0,1,1,0,0,0,0,1,2,1,1,0,1,0,0,0,0,0,1,1,1,1,0,2,2,0,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,2,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,2,0,0,2,1,1,0,0,0,0,2,0,1,1,0,2,1,0,0,0,1,0,1,1,0,0,0,2,0,0,0,0,0,0,2,0,0,1,0,0,0,1,1,1,0,0,0,0,2,1,1,0,2,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,2,0,0,1,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0,2,0,1,0,1,1,0,1,1,0,1,1,0,0,1,2,0,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0,1,2,1,0,0,0,0,1,1,1,0,0,1,0,0,1,0,2,0,0,0,1,0,0,0,0,1,0,0,2,1,1,0,0,0,0,1,0,0,1,2,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,2,2,1,0,1,1,0,0,1,2,0,0,0,2,2,1,0,1,0,1,0,0,0,1,1,1,1,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,2,1,1,2,2,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,2,2,0,2,0,1,0,0,1,0,0,0,2,1,0,0,0,1,1,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,1,1,1,1,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,2,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,2,0,0,1,1 0,0,1,2,0,0,0,1,0,1,1,2,0,2,2,1,0,1,1,0,0,1,2,0,2,1,1,0,0,1,1,0,0,0,1,0,1,2,1,0,0,1,0,1,0,2,0,2,0,0,2,0,1,0,1,0,2,1,2,0,0,0,1,0,0,0,0,1,1,0,1,1,2,1,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,2,0,0,0,2,0,0,1,0,0,0,0,2,1,1,0,1,1,1,2,0,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0,2,2,1,1,0,1,0,0,0,1,0,1,0,1,1,1,0,1,0,2,0,0,0,1,0,1,0,0,2,0,0,0,1,2,0,1,0,1,0,2,0,0,0,0,0,1,1,1,1,1,0,0,1,0,2,0,0,2,0,1,0,0,0,0,1,1,1,0,1,0,1,0,0,0,2,2,0,0,1,0,0,0,1,1,1,1,0,0,1,2,0,0,1,0,0,1,0,0,2,1,1,1,1,0,0,0,2,0,0,0,0,0,1,0,0,1,2,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,2,2,1,0,0,0,0,0,1,0,2,0,0,1,2,0,0,0,0,0,2,1,1,0,0,2,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,2,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,2,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,1,1,1,2,2,2,1,0,0,2,1,1,0,0,0,0,1,1,1,1,1,0,2,0,0,0,1,1,0,0,0,0,1,1,1,1,2,0,1,0,0,1,0,0,1,0,0,0,1,2,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,2,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0,2,2,0,1,0,0,0,0,0,0,1,2,2,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,1,2,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,2,0,2,0,2,1,0,0,1,0,2,1,2,2,1,1,0,0,1,1,1,0,0,2,2,2,1,0,1,0,1,0,0,0,0,0,1,0,0,2,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,1,2,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0,2,0,1,0,0,2,1,0,1,2,0,0,1,0,2,0,2,0,1,0,0,0,1,1,1,1,1,1,1,1,1,2,1,1,1,0,0,2,2,0,2,1,1,2,1,0,0,2,1,0,0,0,0,2,0,0,2,2,1,0,2,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,2,0,0,1,2,0,2,0,1,0,0,0,1,1,0,1,0,1,0,1,0,0,1,0,0,1,1,0,1,1,1,1,1,0,2,2,0,0,0,1,1,2,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,2,0,0,1,1,2,0,1,1,0,0,1,2,1,1,0,0,2,0,0,0,0,1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,0,1,0,1,2,1,0,0,0,0,0,0,0,0,1,1,1,1,1,2,1,0,0,2,2,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,2,1,1,0,0,0,0,0,0,1,2,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,2,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,1,1,0,1,0,2,1,0,0,0,2,1,0,1,0,0,0,1,0,1,1,1,0,1 1,0,1,2,1,0,1,1,0,1,2,1,0,2,1,0,0,0,2,0,0,0,1,0,1,1,0,1,0,1,2,0,2,0,1,0,2,1,1,1,0,1,0,2,1,2,0,0,1,0,1,0,0,0,1,0,0,1,1,2,1,0,0,1,0,1,0,1,1,0,2,0,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,2,1,0,1,2,1,0,0,0,1,1,0,0,0,0,2,0,0,1,1,0,1,2,0,0,1,0,0,1,1,0,0,2,1,0,0,1,1,2,1,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,1,2,0,0,1,2,0,0,0,0,0,0,1,1,0,0,0,1,0,0,2,1,1,0,2,0,2,0,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,2,0,0,0,0,1,0,0,1,0,0,1,1,1,2,0,0,1,0,0,0,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0,2,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,1,1,2,0,0,0,1,2,1,0,0,1,2,0,1,0,0,0,0,0,1,0,1,0,1,1,1,1,0,0,1,1,2,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,2,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,2,0,1,1,2,0,0,0,0,1,1,1,1,2,0,1,1,0,1,0,0,0,2,1,1,0,0,0,1,0,1,0,0,1,1,1,0,1,0,2,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,1,2,0,0,0,1,0,2,0,0,1,0,0,0,0,0,2,1,1,0,1,0,1,1,1,2,0,1,0,0,0,1,1,0,0,0,2,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,2,2,1,0,2,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,1,2,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,2,1,0,0,1,1,0,2,2,0,0,0,0,0,0,0,1,0,1,0,1,0,0,2,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,1,2,1,2,1,1,0,0,0,2,2,2,1,1,0,0,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,2,0,0,2,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,2,0,1,1,0,1,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,2,0,0,2,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,1,1,1,0,0,0,0,0,1,2,1,2,1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,2,1,0,0,0,1,0,0,0,0,2,2,0,0,1,0,0,0,2,1,0,0,1,0,0,0,2,0,1,0,0,0,0,1,1,1,1,1,1,2,0,2,0,1,0,0,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,2,1,0,0,0,2,0,0,2,2,2,0,0,1,0,0,0,1,0,0,0,1,0,2,1,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,2,0,0,1,1,0,2,0,0,2,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,2,1,0,0,1,0,0,0,0,1,0,1,1,2,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,1 0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,2,1,1,0,1,2,1,2,2,0,1,0,0,0,1,0,0,0,1,0,2,1,1,0,0,0,1,1,1,0,0,2,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,1,0,2,0,0,1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,2,1,0,1,0,1,0,0,0,1,0,0,0,0,0,2,0,1,0,1,0,0,0,1,2,1,0,0,0,2,0,0,1,0,2,1,0,0,1,0,1,0,1,0,0,0,2,1,0,0,0,0,0,2,0,1,1,0,1,0,0,0,1,0,1,0,0,2,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,2,1,0,2,1,1,0,0,1,0,0,1,0,1,2,0,0,1,0,1,0,1,1,0,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,2,1,1,1,1,0,1,0,0,2,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,1,2,1,1,1,2,0,1,1,2,2,0,1,0,1,0,0,0,0,2,0,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,2,1,0,0,0,0,1,0,1,2,0,1,0,0,2,1,2,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,1,0,2,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,2,1,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,2,0,1,1,1,0,0,2,0,0,0,0,1,0,0,1,0,0,0,1,0,1,2,0,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,2,2,0,0,1,0,0,0,1,0,0,0,0,0,1,0,2,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,2,1,2,0,1,1,1,0,0,0,1,1,2,1,0,1,1,0,1,0,1,0,2,1,0,0,0,1,1,1,0,2,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,2,0,1,1,0,1,0,0,1,0,1,1,0,1,2,0,0,0,2,1,2,1,1,1,0,0,1,0,0,1,1,0,1,0,0,2,0,1,0,0,0,0,0,2,0,0,2,0,0,1,2,1,2,2,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,2,0,1,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0,2,2,1,1,0,1,0,0,1,0,1,0,0,1,1,2,0,1,1,1,0,2,0,1,0,0,0,1,0,2,0,1,1,0,2,0,0,0,0,0,1,1,0,1,0,1,0,2,0,0,0,2,1,1,0,0,1,2,0,0,1,0,0,0,2,1,1,1,1,1,0,1,1,1,0,1,0,0,1,0,2,2,1,2,1,1,2,1,0,0,1,0,1,2,1,2,1,1,0,0,1,2,1,0,0,0,0,2,2,0,0,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,2,1,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,2,0,1,2,0,1,0,0,1,2,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,1,2,0,0,0,1,0,0,1,2,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,1,2,0,0,0,1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,2,1,0,1,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,2,0,2,0,2,1,0,0,2,1,0,0,0,0,1,0,0,2,1,0,1,1 1,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,2,0,0,0,1,1,0,0,0,2,1,0,0,1,0,2,2,0,0,0,1,0,0,0,2,1,0,1,0,1,2,1,0,1,0,0,0,1,0,1,2,1,1,0,1,0,0,0,0,0,2,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,1,2,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0,0,1,1,2,1,1,1,2,0,0,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,2,2,0,1,0,0,0,1,2,1,2,2,0,0,0,1,0,1,0,0,1,0,1,2,2,1,0,0,1,0,0,2,1,1,0,0,0,0,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,2,0,1,0,1,0,0,1,0,1,0,1,1,0,2,1,0,0,1,0,1,1,0,0,2,1,0,1,1,1,0,0,0,0,0,1,1,2,0,1,0,0,1,0,1,1,2,0,2,1,1,1,0,0,0,0,0,2,0,2,0,1,1,1,0,2,0,1,0,0,0,1,2,1,0,0,2,0,2,0,1,0,0,0,0,2,0,1,2,1,0,0,2,0,1,0,0,1,0,0,0,1,0,2,1,0,1,0,0,0,1,1,2,2,1,2,0,0,0,1,1,0,0,1,2,0,0,0,2,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,2,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,2,2,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,2,1,0,2,0,0,0,0,1,1,0,0,2,0,0,0,1,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,1,1,2,0,0,0,1,1,1,2,1,0,1,1,0,1,2,1,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,2,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,2,0,1,1,0,0,0,0,0,2,1,2,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,2,0,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,1,1,1,0,2,2,0,0,1,0,0,1,2,0,0,0,0,1,1,0,0,0,1,0,1,0,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,1,0,1,0,0,1,0,2,0,0,1,0,2,1,1,1,1,0,0,0,0,1,0,0,2,1,0,1,0,0,2,0,1,2,0,2,0,0,1,0,1,0,1,0,1,1,0,0,0,2,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,2,0,1,0,2,1,0,1,1,1,0,0,0,2,0,1,0,0,0,2,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,2,0,0,1,1,0,0,1,1,0,1,2,0,0,1,0,0,2,1,2,1,0,1,1,0,1,0,0,1,1,1,0,1,1,2,0,1,1,2,1,0,0,1,0,2,0,0,1,1,1,0,0,0,0,1,0,2,1,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,2,1,0,0,1,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,2,1,0,0,0,1,0,1,2,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,1,1,2,0,0,1,0,0,1,0,0,2,1,0,1,0,0,0,1,1,0,1,1,0,0,0,2,1,0,1,0,2,1,1,1,2,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1 1,0,1,1,0,1,1,0,1,2,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,1,1,0,0,2,1,0,0,0,2,2,2,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,1,1,0,1,1,1,1,0,2,0,0,0,0,0,0,1,1,1,0,1,0,1,2,1,1,1,1,0,0,0,0,2,1,0,1,2,1,0,0,0,2,1,1,0,1,0,0,1,0,0,2,1,0,0,0,0,0,1,2,0,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,2,0,1,0,0,0,0,1,1,1,0,0,0,1,2,0,1,0,0,0,1,2,0,0,1,0,0,0,0,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0,1,2,2,1,0,0,1,0,1,0,0,1,0,0,0,0,0,2,0,0,0,2,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0,2,0,0,1,0,0,2,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,2,0,0,0,1,2,1,1,0,0,1,1,1,0,0,0,1,1,0,2,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0,1,1,0,1,0,1,1,0,0,0,0,2,1,1,0,1,0,0,2,0,0,0,0,1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,1,2,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,1,1,1,0,0,2,0,1,0,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,2,0,1,1,0,2,0,2,0,0,1,2,2,0,1,0,0,0,1,1,1,0,0,2,0,0,0,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,2,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,2,1,0,2,0,0,0,0,0,0,0,2,0,1,1,1,0,0,1,0,1,2,0,1,0,1,1,0,0,0,2,0,0,0,1,0,1,0,1,0,2,0,0,0,0,0,0,0,1,1,2,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0,1,2,0,0,0,1,0,2,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,1,0,1,1,0,0,0,0,2,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,2,0,0,0,0,0,2,0,1,0,0,2,0,0,0,1,1,1,0,1,0,0,0,0,1,2,0,0,0,0,2,0,0,1,1,0,0,0,1,1,1,0,1,0,2,1,0,0,1,1,1,2,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,2,1,1,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,1,0,1,2,0,2,1,0,1,0,0,1,0,0,0,0,0,1,2,1,2,1,1,1,0,0,0,1,0,1,1,2,0,1,0,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,2,0,0,0,0,1,2,0,0,0,1,0,0,1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,2,1,2,1,0,0,0,1,1,2,1,2,0,0,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0,1,1,2,1,1,0,0,1,1,1,1,0,2,0,1,0,0,1,1,1,0,1,1,0,2,1,1,1,2,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,2,1,1,0,1,0,0,2,0,1,0,0,1,0,1,0,0,1,0,0,0,1 1,0,1,1,2,0,0,0,0,1,0,1,2,2,2,0,0,0,0,0,0,0,1,1,0,1,1,2,0,1,0,0,0,1,0,0,1,0,1,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,2,0,0,0,2,0,1,1,2,0,1,0,0,0,2,1,0,1,0,1,0,1,0,0,0,0,1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,2,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,1,0,1,2,1,1,0,1,2,0,0,1,2,0,1,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,1,2,1,0,0,0,0,0,0,2,1,0,1,2,0,0,0,1,1,1,2,0,0,0,1,0,1,0,2,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,1,0,0,1,2,0,1,0,1,2,1,0,1,0,0,2,0,1,0,1,2,0,0,1,0,2,1,0,0,1,2,1,0,2,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,2,1,0,0,0,2,1,2,1,0,1,0,0,1,2,2,1,0,0,1,0,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0,2,1,0,0,1,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,1,2,0,0,0,0,2,0,2,0,1,2,1,1,0,0,1,1,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,2,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,2,1,0,0,0,0,0,1,0,2,2,0,0,1,0,0,0,1,0,2,1,0,1,1,0,0,1,1,0,0,2,1,1,0,1,0,0,2,1,0,0,1,2,1,1,2,1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,2,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,2,0,1,0,1,0,1,2,1,0,0,0,0,0,1,0,1,0,2,2,0,0,1,0,0,2,1,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,2,0,2,0,1,0,0,0,0,0,1,2,1,0,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,1,2,1,1,1,0,1,0,0,1,2,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,2,0,1,0,1,1,0,1,1,1,2,1,1,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,2,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,2,0,0,0,0,2,1,0,0,0,0,0,0,2,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,2,0,2,1,1,2,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0,2,0,1,1,2,1,0,2,0,1,0,1,0,0,0,0,2,2,2,2,1,0,0,0,1,0,0,0,1,2,1,2,1,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,2,1,1,0,2,1,0,0,0,0,1,1,1,0,1,0,1,1,1,0,2,0,0,1,0,0,2,2,0,0,0,2,0,0,0,1,0,0,1,1,1,0,0,1,1,0,1,0,2,0,0,1,0,1,1,0,0,0,1,1,1,2,1,0,0,0,1,0,0,2,0,2,1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,0,2,0,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,1,0,1,0,0,1,1 1,0,1,1,1,0,0,0,1,2,2,1,2,2,0,1,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0,1,0,0,2,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,2,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,2,0,2,1,1,0,0,0,0,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,0,2,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,1,2,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,2,0,2,1,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,2,0,0,1,0,0,0,1,1,0,0,0,1,1,0,1,0,2,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,1,2,1,1,0,0,0,2,2,1,0,0,1,0,1,0,1,0,2,0,0,1,1,1,1,0,0,0,1,0,0,2,0,0,0,1,2,1,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,1,0,1,1,0,2,0,0,1,0,1,1,0,0,0,0,0,1,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0,2,1,0,1,1,1,1,0,0,1,2,2,1,0,2,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,1,1,2,1,0,0,1,0,0,0,2,0,1,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,2,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,2,0,0,0,0,2,0,1,2,1,1,0,1,0,0,2,0,1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,1,2,0,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,1,1,1,1,0,0,2,0,0,0,0,0,1,0,0,2,0,1,0,2,0,2,1,1,1,0,2,1,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,2,0,1,1,1,0,2,0,1,2,0,0,0,1,1,0,1,1,0,1,0,1,0,1,0,1,2,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,2,1,1,1,2,1,0,1,0,2,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,2,0,1,0,1,0,2,0,1,2,1,2,1,2,1,1,0,2,0,0,0,0,0,2,0,0,1,0,2,0,0,0,0,0,1,0,1,1,0,2,1,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,1,2,0,0,1,0,2,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,2,2,1,0,1,2,1,0,0,0,1,0,1,1,1,1,2,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,1,2,0,0,0,0,0,0,0,1,0,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,2,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,2,0,1,1,1,0,0,1,1,2,1,0,0,0,2,0,1,1,0,0,0,0,0,0,0,2,0,0,0,1 1,1,0,2,0,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,1,1,0,2,1,0,0,1,2,0,2,1,0,0,2,0,2,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,1,1,2,1,0,1,2,1,0,0,1,0,0,0,0,0,2,0,0,1,1,1,0,0,0,0,0,2,0,0,0,2,0,1,1,1,0,1,2,0,0,1,1,1,0,0,1,0,1,0,2,2,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,0,0,2,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,2,0,2,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,0,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,2,0,0,0,1,0,0,0,2,0,0,1,0,2,0,0,0,0,0,0,1,1,1,1,2,0,0,1,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,2,0,0,0,2,1,1,0,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,2,0,2,0,1,1,1,0,0,2,0,0,0,1,1,1,1,0,0,0,2,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,1,1,1,0,1,2,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,2,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,1,2,1,0,1,0,0,1,1,2,2,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,2,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,2,0,2,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,2,1,0,1,1,1,1,0,0,0,2,0,1,1,0,2,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,1,1,2,1,0,2,0,2,2,0,0,1,0,1,0,2,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,2,0,0,0,1,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,2,0,2,1,1,0,0,0,1,1,0,1,2,0,1,0,1,0,1,1,1,1,1,2,1,0,2,0,1,0,1,0,0,0,0,2,0,1,1,2,2,1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0,2,2,0,2,0,2,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1,0,0,1,0,1,1,1,0,2,1,1,0,0,1,1,0,0,0,0,1,0,2,0,0,1,0,0,0,1,0,1,0,2,0,0,0,0,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,2,1,0,1,0,0,0,2,0,1,2,2,1,0,0,0,0,0,0,0,1,0,0,1,2,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,2,1,0,1,0,1,0,0,2,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,2,1,0,1 0,0,1,1,0,0,0,0,1,1,2,2,1,2,1,0,1,1,1,0,0,2,0,1,1,1,1,0,0,0,1,0,0,1,1,1,1,1,0,0,1,1,0,2,0,0,0,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,2,2,0,2,0,0,1,1,1,0,0,1,1,0,0,1,0,1,1,0,1,2,1,1,0,0,1,0,0,2,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,2,0,0,0,1,0,0,0,0,1,1,0,2,0,1,0,0,0,0,0,0,0,0,2,0,1,0,1,0,2,0,1,1,1,1,0,1,0,0,1,0,1,1,1,1,0,2,0,1,2,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,1,2,1,2,0,2,0,1,1,1,1,0,0,1,1,0,2,0,0,0,1,1,0,0,1,1,2,0,0,0,1,0,0,0,1,1,1,0,0,0,0,2,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0,1,1,0,0,2,2,0,0,1,0,1,0,0,1,2,1,1,0,2,1,2,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,2,1,0,1,1,1,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,1,0,1,2,1,1,0,0,1,2,1,1,0,0,1,1,0,2,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,2,1,1,0,0,0,0,0,1,2,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,2,1,1,0,0,0,0,2,0,0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0,2,0,0,0,2,0,0,1,1,2,2,0,1,0,0,0,1,0,0,0,2,2,0,1,1,2,1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,2,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,2,1,1,1,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0,1,2,1,0,1,1,0,0,1,2,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,1,0,2,0,1,0,0,0,0,0,0,1,0,1,1,2,0,0,0,1,1,0,0,0,1,1,1,1,2,0,0,1,0,0,0,1,0,1,0,0,0,0,0,2,0,0,0,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,2,2,1,1,0,1,1,1,1,1,1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,2,1,2,0,1,0,0,0,0,1,1,0,2,0,1,0,1,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,2,1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,1,1,1,1,0,2,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,2,0,0,1,1,0,0,1,2,0,2,1,1,1,1,0,0,0,0,1,0,0,0,1,1,2,0,1,0,1,0,0,0,0,0,2,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,2,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1,2,1,0,0,0,0,0,1,0,0,2,1,0,0,1,2,0,0,2,0,0,1,0,0,0,1,0,0,1,1,1,2,0,2,1,2,1,0,1,2,1,2,0,0,0,0,1,2,1,0,1 2,0,1,1,0,1,0,0,1,2,1,2,0,2,2,1,0,1,0,0,0,0,0,1,1,0,2,1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0,2,1,2,2,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,2,1,1,2,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,1,0,1,0,1,0,2,2,0,0,0,1,0,0,0,0,1,1,0,1,2,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,1,1,0,2,1,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,2,1,0,2,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,1,2,2,1,1,1,0,0,2,1,0,1,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,0,2,2,2,1,2,1,0,0,1,0,0,1,2,1,0,0,0,0,1,1,0,0,0,2,1,0,0,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,2,1,0,0,0,1,0,1,0,0,1,0,1,1,2,0,0,0,2,0,2,0,1,0,0,1,0,1,0,1,2,0,1,1,0,1,0,0,0,0,1,0,1,0,0,2,0,0,2,1,1,0,0,2,1,1,0,0,0,0,2,1,0,0,0,1,2,1,1,0,1,0,0,0,1,1,2,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,1,1,1,2,0,1,0,2,0,0,1,1,0,1,1,1,1,0,0,2,0,0,0,1,2,0,0,0,0,0,2,0,1,1,0,0,0,1,1,1,0,0,2,0,0,1,2,1,0,0,0,0,2,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0,2,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,1,2,1,2,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,2,0,0,1,2,0,1,0,1,0,1,2,2,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,1,1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,2,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,1,2,0,0,0,0,0,2,0,1,0,1,0,1,0,0,1,1,1,0,1,0,0,2,1,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,2,0,1,1,0,0,2,0,0,0,1,1,2,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,1,1,2,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,2,0,0,1,0,1,0,2,0,0,0,0,0,1,2,1,1,1,0,0,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,2,0,1,0,0,1,2,0,2,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,1,1,0,2,0,2,2,1,0,0,0,0,0,0,1,2,0,0,0,1,0,0,1,1,1,0,1,2,0,0,0,0,0,2,0,0,0,0,2,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,2,1,1,0,0,0,1,0,1,0,0,0,0,2,0,2,0,0,0,0,0,1,0,1,1,1,1,0,1,0,2,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1 0,0,1,2,1,1,0,1,0,2,2,0,1,1,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,2,0,1,2,0,0,1,0,0,1,0,0,0,2,0,0,0,1,2,0,0,1,0,0,1,0,2,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,2,0,0,0,1,1,0,0,1,2,1,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,1,1,1,0,1,0,2,1,0,1,1,0,0,0,2,1,0,2,1,0,0,1,0,0,0,1,1,1,0,1,1,0,1,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,1,0,0,2,0,0,0,0,0,2,1,0,2,1,1,0,1,0,0,0,1,2,0,1,1,2,1,2,0,2,0,1,2,1,0,0,0,0,0,2,0,0,0,2,1,2,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,1,2,1,0,1,0,1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,1,1,0,2,1,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,2,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,2,2,0,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,1,2,0,0,0,0,0,1,1,0,1,0,0,0,2,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,2,1,0,2,2,1,2,0,2,1,1,0,2,0,1,0,1,0,1,1,0,0,2,0,1,1,0,0,0,0,0,1,0,1,0,0,2,0,0,1,1,0,1,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,2,1,1,1,0,0,2,0,0,0,1,2,2,2,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,1,1,1,1,0,1,2,1,0,0,1,1,0,0,0,2,2,1,1,1,0,0,0,0,1,1,2,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,1,1,2,0,0,1,0,1,1,2,0,2,0,0,1,2,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,0,0,1,0,1,0,2,0,0,0,0,0,0,0,2,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,2,0,0,2,1,0,0,0,0,0,1,2,1,1,1,1,0,0,1,0,0,1,1,1,0,1,0,1,0,2,0,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,2,1,0,0,1,0,0,0,1,0,0,0,0,0,2,0,1,1,2,2,0,1,1,1,0,2,0,1,0,0,0,1,0,1,1,1,1,1,0,0,0,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,1,2,0,0,0,0,1,1,0,1,0,2,0,0,0,0,0,2,1,2,0,2,0,1,0,1,1,0,1,0,0,1,1,2,0,2,1,0,1,0,0,0,1,2,1,0,0,1,1,2,1,0,0,0,1,0,0,0,0,2,0,0,1,1,1,2,1,0,1,0,0,2,0,2,1,0,0,0,1,1,0,2,0,2,2,0,0,0,0,1,1,0,1,0,0,0,2,2,0,1,0,0,1,0,2,0,0,1,1,1,1,0,1,1,0,1,1,1,0,2,0,1,1,0,0,0,2,0,0,0,0,0,0,1,0,2,1,0,0,1,0,0,1,0,0,0,0,0,2,1,1,0,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,1,0,1,1,1,2,1,0,0,0,0,0,0,0,2,1,0,1 0,0,1,0,0,0,0,1,0,0,1,0,1,1,2,0,0,2,1,0,0,1,2,0,2,1,0,1,0,1,0,0,0,1,1,0,2,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,2,0,2,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,1,0,0,0,0,2,0,1,0,1,0,0,0,1,1,2,1,2,0,0,1,1,1,1,2,1,0,1,0,2,0,0,0,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,2,0,1,0,0,0,0,1,0,1,2,1,0,0,1,0,0,1,0,0,0,1,1,0,0,0,1,1,1,1,1,1,1,0,1,0,1,1,0,1,1,0,0,1,1,2,0,1,0,0,2,0,0,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,2,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0,2,1,1,0,1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1,1,1,1,0,1,1,1,0,1,1,0,0,1,0,1,0,2,1,2,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,1,1,2,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,2,1,0,0,0,1,1,0,0,0,0,0,1,1,1,0,0,1,1,0,0,1,0,1,0,1,1,2,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,1,2,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,1,2,1,0,2,0,2,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,2,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,1,2,1,0,1,0,0,0,1,1,1,1,0,1,0,0,0,0,2,0,0,1,0,0,1,0,1,0,1,1,0,1,2,0,1,0,1,1,0,2,1,0,1,0,0,0,1,1,0,0,1,0,1,2,2,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,2,1,2,0,0,0,1,0,0,1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,0,1,1,0,2,0,0,2,1,0,1,2,2,0,2,0,0,1,0,0,0,1,1,0,2,0,0,0,0,0,0,2,0,1,1,1,0,0,0,0,0,1,1,1,1,1,2,0,0,1,2,0,0,0,0,0,1,0,2,1,2,1,0,0,1,2,1,1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,0,1,1,1,0,2,0,1,1,0,1,1,0,2,0,0,0,1,2,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,1,2,0,0,0,1,0,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,2,1,1,2,2,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,1,1,0,0,0,0,1,2,0,2,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,2,0,2,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,1,1,1,2,0,0,0,1,0,0,0,2,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,2,0,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,2,1,2,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,2,1,1,1,1 0,0,0,1,0,0,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,2,1,0,2,0,0,1,0,1,0,1,0,0,1,0,0,0,2,1,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,2,0,2,0,1,0,0,0,0,1,0,0,0,0,0,0,0,2,1,0,1,1,1,2,0,0,1,1,1,0,2,0,1,1,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,1,0,1,0,0,0,0,0,0,2,1,1,1,0,2,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,1,1,0,2,0,0,0,0,0,1,1,1,2,0,1,0,0,1,0,0,2,0,1,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,2,2,0,0,1,0,0,1,0,0,0,0,2,0,1,0,0,1,1,2,0,0,1,0,0,1,2,1,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,1,0,1,1,0,0,1,1,0,0,0,2,0,0,0,1,0,2,2,1,1,1,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,2,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,2,1,2,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0,2,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,2,0,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,2,0,1,0,1,1,1,2,0,0,0,0,1,0,0,1,0,1,2,1,1,1,0,1,0,1,0,0,1,1,1,2,0,1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,1,1,1,0,0,0,0,0,0,1,0,1,0,2,0,1,0,0,0,0,0,1,0,0,2,0,1,0,2,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,1,1,1,0,0,1,1,0,0,0,1,1,0,1,1,1,0,1,0,0,2,0,0,1,0,0,0,2,0,1,0,1,1,0,0,1,2,0,0,0,0,0,1,1,0,1,0,1,0,2,2,0,0,1,1,0,2,0,0,2,0,0,0,0,0,0,2,1,0,1,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,1,1,2,0,1,0,0,2,1,2,1,0,1,1,0,1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,1,2,0,1,1,0,2,0,0,0,2,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0,1,2,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,2,1,0,0,1,1,2,0,0,2,1,1,0,1,1,0,1,0,0,0,0,1,0,0,2,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,2,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,2,1,1,1,2,0,0,2,0,0,0,1,0,2,0,1,2,2,0,0,2,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,1,0,1,1,1,0,2,1,2,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,1,1,1,1,0,1,2,1,1,2,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,2,0,2,0,1,0,0,1,0,0,1,0,1,0,1,0,2,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,2,2,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0,2,1,0,0,0,0,0,2,1,1,2,0,1,0,2,0,1,1,1,0,0,0,0,1,0,1,0,0,0,1 2,0,1,0,1,0,0,0,0,2,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,2,1,0,0,1,0,0,0,2,1,1,1,1,0,1,0,2,1,0,0,1,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0,2,1,2,0,1,1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,2,1,2,1,0,0,0,0,1,0,0,2,1,1,1,2,0,0,1,0,2,0,0,0,2,1,1,0,0,0,1,1,1,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,1,0,2,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,1,1,1,1,0,2,0,1,0,0,2,0,2,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,1,2,1,0,2,2,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,1,1,2,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,2,1,2,1,0,0,0,2,1,0,1,0,0,0,0,1,0,1,1,0,2,1,1,1,0,2,1,0,2,0,0,1,1,0,1,0,0,0,1,1,2,0,0,0,0,2,1,1,1,0,1,0,1,0,1,0,0,0,1,2,0,0,0,1,0,0,2,0,1,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1,0,2,1,1,0,0,0,1,0,0,2,1,0,1,0,0,1,0,1,1,1,0,0,2,0,0,0,0,1,0,1,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,2,2,1,0,0,0,0,2,0,1,1,1,1,1,0,0,2,0,2,0,1,0,0,0,1,1,0,0,1,2,0,2,1,0,0,0,0,0,0,0,0,0,2,0,1,2,0,1,0,1,0,1,1,1,0,0,1,0,0,1,2,1,0,1,0,0,1,2,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,1,1,2,0,0,1,1,1,0,2,0,0,0,1,1,0,2,0,0,0,0,2,0,1,0,0,0,1,0,0,0,0,1,1,1,1,0,2,0,1,0,0,1,0,0,0,0,0,0,1,1,1,0,1,2,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,2,0,0,1,2,0,0,0,0,1,1,1,0,0,1,1,0,1,0,2,1,0,0,0,0,1,1,0,0,0,1,1,0,0,1,2,1,0,2,0,0,0,0,0,2,2,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,1,2,1,0,0,1,0,1,1,2,0,0,0,0,1,0,0,0,0,1,1,0,2,1,0,0,1,0,2,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,2,0,0,1,0,0,0,2,0,2,1,1,0,0,0,0,1,0,2,0,2,1,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,2,0,1,0,1,1,0,1,0,2,0,1,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,1,2,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,2,1,0,1,2,1,0,0,0,0,2,0,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,2,1,0,1,1,0,0,0,2,1,1,0,0,1,1,1,1,0,1,0,0,0,0,2,0,0,0,0,1,1,1,0,2,1,1,0,0,2,0,1,0,0,1,1,0,1,0,2,0,2,2,1,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,1,1,0,0,0,2,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0,1,0,0,0,0,0,2,0,1,1,0,1,1,0,2,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,1,0,1,1 1,0,0,1,2,0,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,1,0,1,1,2,0,0,2,0,1,1,1,0,1,0,0,0,1,2,1,1,1,0,1,2,1,0,2,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,1,1,2,0,2,0,0,2,0,1,0,0,0,0,0,0,1,1,0,2,0,0,0,1,1,1,1,0,1,2,0,0,2,0,1,1,0,1,1,2,0,1,0,1,0,2,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,1,2,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,1,0,1,1,2,0,1,0,0,0,0,0,1,0,1,1,0,0,2,2,0,1,1,0,2,1,1,0,0,0,1,2,0,0,0,1,2,1,2,0,1,0,0,0,1,1,1,0,1,2,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,2,0,1,0,1,1,0,0,1,0,0,0,0,1,1,0,2,0,0,1,1,1,0,0,1,0,1,1,0,1,0,1,0,2,0,0,0,0,2,1,1,1,0,0,0,0,0,0,1,0,2,1,0,2,0,0,2,0,1,0,0,0,0,0,2,1,0,1,1,2,0,1,0,0,1,1,0,0,1,2,2,0,0,1,0,0,0,0,1,1,0,0,0,1,2,0,1,0,0,0,1,1,1,1,2,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,0,1,1,0,2,0,0,0,0,0,1,1,0,0,1,2,0,0,0,0,1,0,0,1,1,1,1,1,1,0,2,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,1,1,0,0,0,0,1,0,1,2,0,0,2,0,2,1,1,0,2,0,0,1,0,0,0,0,0,1,0,0,1,1,1,2,0,1,0,2,0,0,1,2,0,0,1,0,2,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,2,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,2,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,1,1,0,1,2,0,0,0,1,0,0,2,0,2,0,0,2,2,1,0,1,2,1,1,0,1,2,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,2,0,0,0,0,2,1,1,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,2,1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,1,1,2,0,0,1,0,0,1,0,0,0,2,2,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,2,0,1,0,1,0,2,2,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,2,0,0,0,0,0,1,2,2,1,0,0,1,0,0,0,0,1,0,2,1,0,0,1,1,0,0,0,1,2,0,2,0,0,0,0,1,0,0,0,2,1,2,1,0,0,0,0,0,0,0,2,1,1,0,1,0,0,1,0,2,0,1,0,0,0,1,0,1,1,0,2,0,0,2,1,0,1,1,1,2,1,1,0,0,1,0,0,2,2,1,2,1,1,1,0,0,1,0,0,0,1,2,1,0,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,2,0,0,0,2,0,1,1,0,0,0,1,0,1,1,0,0,2,0,1,0,2,0,1,0,2,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,1,2,2,1,0,0,0,1,1,0,1,2,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,2,0,1,1,0,0,0,1,0,0,1,0,2,1,1,0,1 1,0,0,2,0,0,1,1,2,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,2,1,0,0,2,0,0,0,2,0,0,0,2,0,0,2,1,0,0,1,0,0,2,0,0,0,0,0,2,0,2,1,1,0,0,0,0,1,0,0,0,0,2,0,2,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,2,0,1,2,0,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0,2,1,1,1,0,0,0,0,0,1,0,2,0,1,1,1,0,1,0,1,2,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,2,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,2,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,2,0,0,0,2,1,0,0,1,0,1,2,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,1,1,0,0,1,1,1,2,2,0,0,1,0,0,0,1,0,0,0,1,0,0,2,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,1,0,2,0,0,0,0,0,2,0,1,0,0,1,1,2,0,1,0,0,1,1,1,0,0,0,0,0,1,2,0,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,2,0,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,1,0,1,1,2,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,2,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,2,2,1,1,1,0,0,2,1,1,1,0,2,0,2,1,0,1,2,0,0,1,0,1,1,1,1,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,1,1,0,1,0,2,1,1,2,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,0,1,2,1,0,0,1,2,0,0,0,2,1,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,0,1,2,0,1,0,1,1,2,0,1,2,0,0,0,0,1,1,0,2,0,0,0,1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,2,0,0,1,0,0,0,0,1,0,2,1,0,1,0,1,0,0,0,1,2,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,2,0,2,1,1,0,0,2,1,1,1,0,0,0,2,0,0,0,0,0,0,0,1,1,1,1,1,1,0,1,0,1,0,2,2,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,2,1,0,1,0,1,0,0,0,0,0,1,0,1,1,0,1,0,2,0,2,0,0,2,0,0,1,0,0,1,2,0,1,1,0,0,0,0,0,1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,2,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0,2,1,0,0,2,0,0,0,1,2,0,2,0,1,1,0,1,0,0,1,0,1,1,0,0,1,2,1,1,2,0,0,1,1,0,0,2,1,0,0,0,2,0,0,0,0,1,2,1,1,2,0,0,0,0,1,0,0,1,1,1,2,1,1,0,0,0,2,1,0,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,2,2,0,1,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,2,1,0,1,0,0,2,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,1 0,0,0,1,0,0,1,0,0,2,0,2,0,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,2,1,1,0,2,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,2,1,0,2,0,1,0,0,0,1,1,0,0,0,0,0,2,0,1,0,0,1,0,1,2,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,1,0,2,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,2,1,0,1,0,1,1,0,0,0,1,2,0,1,1,1,1,2,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,2,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,2,2,0,0,0,2,0,0,1,1,0,1,2,1,1,0,1,1,0,1,0,0,1,0,0,0,2,0,1,2,1,1,0,1,1,0,0,0,2,0,1,1,1,0,1,0,1,1,1,0,2,0,0,0,0,0,2,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0,2,0,0,1,1,0,2,1,1,0,0,0,1,1,1,0,0,0,0,0,2,1,0,1,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,2,1,1,0,2,0,0,0,2,2,0,1,0,2,0,1,1,0,2,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,0,0,1,1,0,1,1,2,0,1,1,2,1,1,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,0,2,0,1,2,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,2,1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,2,0,1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,1,0,2,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,1,2,0,0,1,0,2,0,2,1,0,1,0,0,0,2,1,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,2,0,1,2,1,1,1,1,2,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,1,0,2,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,1,1,1,0,2,0,0,0,2,0,0,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,2,1,0,1,0,2,1,2,0,2,0,1,0,1,0,0,1,0,0,2,0,0,0,1,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,1,2,0,1,0,1,0,0,0,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,2,1,0,1,1,0,0,0,2,2,1,0,0,0,0,0,0,2,1,0,1,1,0,0,0,0,0,0,1,0,0,0,2,2,1,0,2,1,1,2,1,0,1,0,0,1,2,1,1,0,0,2,1,1,2,1,0,0,0,0,0,2,0,1,0,2,1,0,0,1,0,0,1,0,1,0,1,0,0,0,1,2,2,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,2,0,1,0,1,0,2,1,0,0,0,1,2,0,0,1,0,0,2,0,0,0,0,1,1,0,1,0,0,0,0,1,1,1,1,0,1,1,0,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,2,0,0,0,1,0,1,1,0,0,2,1,0,0,1,1,1,1,0,2,0,0,0,1,0,2,0,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,2,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,1,0,1,1 1,0,1,1,0,0,1,2,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,2,0,1,0,0,0,2,0,0,1,0,1,1,1,2,1,0,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,1,1,0,2,1,2,0,1,0,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,2,0,0,1,0,2,1,1,0,1,0,0,1,1,0,0,1,1,2,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,1,1,1,1,1,0,2,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,1,0,1,0,0,1,0,2,1,0,1,0,0,1,1,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,0,1,2,0,2,1,0,0,0,1,1,2,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,2,0,1,2,0,2,0,0,0,0,1,2,0,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,2,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,1,0,0,2,1,1,1,0,0,2,2,0,0,1,1,0,2,0,0,1,0,0,1,0,2,0,0,0,0,2,1,0,0,0,1,0,1,1,1,0,0,0,0,0,2,0,0,0,0,2,1,2,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,2,1,2,0,0,0,1,0,0,2,0,1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,2,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,2,0,1,0,0,1,0,0,0,2,0,0,0,1,0,2,1,0,0,1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,0,2,0,1,0,0,0,1,0,1,0,0,0,1,0,2,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,0,1,0,1,0,1,2,0,0,0,0,0,1,0,1,2,1,1,2,0,1,1,0,1,0,0,0,2,1,0,0,0,2,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,2,1,1,0,1,1,0,0,2,2,1,0,1,0,1,0,2,0,0,1,0,0,1,1,0,1,0,0,0,2,0,0,0,1,0,1,1,0,1,0,0,1,2,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,1,2,0,0,0,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,1,1,0,2,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,2,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,2,1,1,1,2,1,0,0,0,0,0,1,0,1,0,0,2,2,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,2,1,1,1,0,0,1,1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,2,1,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,2,1,0,0,0,1,0,1,2,0,2,0,1,0,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,2,0,1,1,2,0,0,0,2,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,2,1,0,1,1,0,0,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,2,1,0,1,1 1,1,0,1,0,0,0,1,1,0,2,1,0,2,1,0,0,1,0,0,1,0,2,1,0,0,1,2,2,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,2,0,1,0,1,0,0,0,0,2,0,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,2,0,0,2,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,1,1,2,0,0,0,1,0,0,1,0,2,0,0,1,0,1,0,1,0,0,2,0,2,0,1,2,1,0,0,1,0,2,2,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,2,0,1,2,1,1,0,0,0,0,1,0,1,1,0,0,2,0,1,0,2,0,1,2,0,1,0,1,1,1,1,0,1,2,0,0,1,0,0,1,1,0,0,0,1,1,2,1,1,1,1,1,0,0,0,1,0,0,1,2,0,0,1,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,2,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,2,2,0,0,2,1,2,0,0,0,2,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,2,2,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,1,0,0,0,0,1,1,0,1,1,2,1,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,1,0,0,2,1,0,0,2,0,0,2,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,2,0,1,1,0,0,0,2,0,0,0,1,0,1,2,0,0,0,0,0,1,0,0,0,1,1,1,2,1,0,0,1,0,1,1,0,1,0,2,0,0,1,1,0,2,0,1,0,2,0,0,0,1,0,0,2,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0,1,0,1,0,0,2,1,0,1,0,0,2,0,0,1,0,2,1,0,2,0,0,0,1,0,0,0,2,0,0,0,0,2,0,0,1,2,0,2,1,0,0,1,0,0,0,0,0,0,1,1,2,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0,0,2,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,2,2,0,0,1,1,1,0,0,1,0,0,2,1,0,0,0,0,0,0,1,0,0,1,1,0,2,0,1,0,0,1,0,1,1,0,1,2,0,0,1,1,2,1,0,1,1,1,2,1,0,1,0,1,0,2,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,1,2,2,0,2,0,0,1,0,0,0,1,1,1,0,0,0,1,2,2,0,1,0,0,1,0,0,0,2,1,0,0,1,0,0,2,1,1,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2,1,0,1,0,0,1,0,1,2,2,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,1,0,0,2,2,0,0,0,1,1,0,2,1,0,0,0,0,0,2,1,0,0,1,0,1,0,0,0,2,1,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,2,0,0,0,0,0,0,1,0,1,2,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,2,0,0,1,0,0,1,1,1,0,0,0,2,1,0,0,1,1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,1,0,0,0,2,0,1,0,0,0,0,2,2,0,0,1,0,0,1,1,1,2,0,2,0,0,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0,2,0,0,0,0,1,1,2,1,0,1,0,0,0,2,2,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,2,0,1,1,1,0,1,0,1,1,1,2,2,1,0,0,0,2,0,0,1,1,1,1,0,0,1,0,0,1,0,1,1 0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,2,0,0,0,2,1,0,0,1,1,0,2,1,0,0,1,0,1,0,0,0,1,0,1,0,2,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,1,1,1,1,0,2,1,1,0,1,0,0,2,2,0,0,0,1,0,0,0,1,2,1,2,0,2,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,2,0,2,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,2,2,1,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,2,1,0,1,2,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,1,1,1,2,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,2,1,0,0,1,2,2,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,2,1,0,2,0,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,1,1,2,1,0,1,0,0,0,2,1,1,0,0,1,1,0,0,0,0,0,1,2,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,2,1,1,0,2,1,0,0,0,1,0,0,0,2,1,1,0,1,0,0,0,0,2,0,1,2,0,0,0,0,1,2,0,2,1,1,1,1,2,0,0,0,2,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,1,2,1,0,0,0,1,1,2,0,0,1,0,0,1,1,1,1,2,0,0,0,2,0,2,0,1,1,0,1,1,1,1,1,1,2,1,0,0,1,1,0,1,0,2,1,1,0,1,0,2,1,1,1,0,1,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0,2,1,1,2,0,1,0,1,0,0,0,0,0,1,0,1,1,1,0,2,0,0,1,1,1,0,0,1,2,0,1,0,2,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,2,1,1,0,0,0,2,0,2,0,1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,2,0,0,1,0,0,0,1,2,1,0,0,1,0,1,0,0,0,0,0,2,1,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,1,2,0,0,1,2,0,1,2,0,0,1,1,1,0,0,0,0,1,0,2,0,0,0,0,0,2,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,2,2,0,0,0,0,0,0,0,2,2,2,1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,1,2,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0,2,0,1,1,0,1,1,0,1,0,1,0,0,1,1,1,0,2,0,1,0,0,0,0,0,0,0,1,1,0,0,2,0,0,1,0,0,1,0,1,0,0,0,0,1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,1,0,1,1,2,0,1,1,0,0,1,2,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,2,1,2,1,1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0,2,0,0,1,2,1,1,0,1,2,2,1,0,0,1,0,0,1,0,1,0,0,0,2,0,1,1,1,0,0,0,0,1,2,0,1,0,0,0,0,0,1,0,0,2,0,2,0,1,1,0,2,0,0,1,0,1,2,0,0,0,0,0,0,1,0,1,0,1,0,1 1,1,2,0,0,0,1,0,0,1,1,0,0,1,0,0,1,2,1,0,0,0,0,0,1,0,0,0,0,0,1,0,2,2,2,0,0,2,1,0,0,0,0,0,1,2,0,1,0,2,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,1,0,2,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,2,2,0,1,0,2,1,0,0,0,1,1,0,1,0,1,0,1,2,1,0,0,1,0,1,1,0,0,1,0,2,1,1,1,2,1,1,1,0,0,1,2,0,1,0,0,0,0,1,1,0,0,0,2,0,1,0,1,2,1,1,1,0,1,2,1,0,1,1,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,1,1,1,1,2,0,2,0,1,0,2,1,1,1,0,0,2,2,1,1,0,2,1,0,1,0,0,1,0,0,0,0,2,1,2,1,0,1,0,0,0,0,1,2,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,1,2,2,0,1,1,0,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,2,1,1,2,0,0,0,0,2,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0,1,2,2,0,0,2,0,1,0,1,2,1,0,0,1,1,0,0,1,0,1,0,0,2,0,0,0,0,1,0,1,0,1,1,0,1,2,2,1,0,0,2,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,1,1,1,1,1,0,0,2,0,0,1,2,0,0,0,0,0,0,2,0,1,0,0,0,1,0,1,0,1,0,0,1,0,0,2,0,1,1,0,0,2,2,0,0,0,1,1,0,1,0,1,2,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0,1,1,1,2,0,1,2,0,0,1,0,0,0,1,0,0,1,0,2,1,0,0,2,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,1,1,1,2,1,0,0,0,2,2,1,0,1,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,2,0,1,0,0,0,2,1,1,0,1,0,1,1,1,1,1,2,1,0,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,2,1,1,1,1,0,0,0,0,1,1,2,1,0,1,2,0,0,0,1,1,0,0,0,2,1,1,1,0,0,0,0,0,2,1,1,1,1,1,0,0,2,0,1,0,1,0,0,0,1,0,0,2,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,0,1,2,2,0,2,0,1,0,0,0,0,0,1,1,0,2,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,2,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,1,0,0,2,0,0,1,1,0,1,2,0,1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,2,0,0,1,0,0,2,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,1,2,0,0,1,0,0,1,0,0,0,0,2,0,0,1,2,1,0,0,0,1,0,0,2,2,0,0,2,0,0,1,0,1,2,1,0,0,2,1,1,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,2,0,0,0,1 1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,2,0,1,0,0,0,0,0,0,2,1,0,0,1,1,2,1,2,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,2,1,0,2,2,2,1,2,0,1,1,1,0,1,0,0,2,1,2,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,1,2,0,1,0,0,0,1,0,1,1,1,1,1,1,1,0,0,2,1,1,2,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,1,1,0,0,1,0,0,2,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,1,2,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,2,0,0,1,1,0,0,2,0,1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,2,2,0,0,1,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,2,0,0,0,1,0,1,0,2,0,0,1,0,1,2,2,0,0,0,0,1,1,2,1,2,0,0,0,0,0,2,0,1,0,1,1,1,2,0,0,1,2,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,2,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0,2,2,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,1,2,1,1,2,1,1,1,0,1,0,0,0,0,1,1,0,0,2,1,1,0,1,0,1,0,2,2,0,0,1,1,1,2,0,1,0,0,1,1,1,0,2,0,1,1,0,1,1,0,2,1,1,0,0,1,1,1,0,2,0,1,1,0,1,0,0,1,0,2,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,1,0,2,2,1,1,0,0,1,1,0,2,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0,2,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,1,2,0,1,0,1,2,0,0,0,0,0,0,0,1,0,2,1,0,1,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,2,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,2,1,1,1,2,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0,0,1,1,1,1,1,0,1,0,2,0,0,0,0,0,2,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0,1,1,0,1,0,2,0,0,2,0,1,0,0,2,2,0,0,2,0,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,1,1,0,1,2,1,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,2,0,1,2,2,1,2,0,2,1,2,0,2,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,2,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,0,2,1,0,0,1,1,0,0,0,0,0,0,1,0,0,1,1,2,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,2,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,1 1,0,2,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,2,2,0,1,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,2,0,1,1,0,2,0,2,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,2,2,0,1,1,0,0,0,0,1,0,0,0,2,1,1,0,0,0,1,2,0,1,0,0,1,2,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,2,1,2,1,0,0,0,0,0,1,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,2,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,1,2,0,0,0,0,0,1,0,0,1,1,2,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,2,0,1,1,1,0,0,0,1,1,1,2,0,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,1,1,0,0,0,1,1,2,1,0,0,0,1,1,0,0,2,0,0,2,1,1,1,1,2,0,1,0,1,2,0,1,0,1,1,1,0,0,0,1,1,0,1,1,2,0,0,1,2,1,0,0,1,0,0,0,0,0,0,1,0,2,0,0,2,1,1,0,1,2,2,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,2,0,0,1,1,0,0,0,0,0,1,1,1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,1,0,0,1,0,0,2,0,0,0,2,2,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,2,0,2,0,1,2,1,1,1,0,0,0,0,0,1,2,2,0,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,2,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,1,0,2,0,0,0,0,2,0,1,1,0,1,2,0,1,1,1,1,1,0,0,0,0,1,2,1,1,1,0,0,1,0,0,1,0,2,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,2,2,1,0,2,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,2,1,1,1,1,0,0,0,0,0,0,2,0,1,0,1,0,2,0,0,0,0,0,1,0,0,0,1,2,1,1,0,0,2,0,1,0,0,1,0,2,0,1,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,2,0,1,0,0,0,0,0,1,0,0,0,1,1,1,1,0,2,1,0,1,0,1,1,0,1,0,0,0,1,0,2,0,0,0,1,0,0,1,1,1,0,1,1,1,2,1,0,0,1,0,0,2,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,2,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,1,2,1,0,0,0,0,1,1,2,0,0,0,0,2,2,0,0,0,1,1,2,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,2,0,1,0,0,2,0,0,0,0,1,0,0,1,0,1,0,0,1,1,2,1,0,0,0,1,0,0,2,0,1,1,1,0,1,0,0,0,0,2,0,0,0,0,2,0,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,2,0,0,1,0,2,1,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,2,0,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,2,0,1,1,1,1,1,0,0,1,1,2,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,2,1,1 0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,1,0,2,1,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,2,0,0,0,0,0,0,1,0,1,0,1,0,0,2,0,0,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,2,1,0,0,0,2,0,2,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,2,0,0,1,0,0,0,1,0,2,1,0,1,1,0,0,0,1,0,2,0,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,1,1,0,1,1,1,0,0,0,1,2,0,0,1,0,0,0,0,0,1,2,1,0,2,0,0,0,0,1,1,2,0,0,0,1,2,1,1,1,0,0,0,0,0,1,0,0,1,2,1,1,0,1,0,1,2,0,0,0,0,1,2,0,0,0,0,1,0,0,2,0,0,0,1,1,0,0,1,2,0,0,2,1,2,0,1,1,1,0,2,1,0,2,0,2,0,0,1,1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,2,1,1,1,1,1,1,1,0,0,1,1,1,1,1,0,1,0,0,1,2,1,1,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,1,0,2,0,0,0,0,1,1,1,0,1,1,1,1,0,2,0,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,2,1,1,2,0,0,0,0,0,2,1,1,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,1,2,2,1,2,0,0,0,0,0,1,0,0,0,0,2,0,1,1,1,0,2,0,0,2,0,0,1,0,2,0,0,1,1,0,0,0,2,0,1,1,0,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,2,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,2,0,0,0,1,0,0,1,1,0,1,1,0,0,2,2,1,1,1,0,0,2,0,1,1,0,0,0,0,1,0,1,1,0,2,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,2,0,0,1,1,1,0,0,2,1,1,0,2,1,0,2,0,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,2,1,1,1,0,1,0,2,0,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,1,2,0,1,0,2,0,2,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,2,1,2,1,0,1,1,0,0,0,0,1,0,1,2,1,0,1,0,1,1,0,2,0,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,2,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,1,1,2,0,0,0,0,0,0,0,2,0,0,1,0,2,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,0,0,2,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,2,1,0,1,0,1,0,1,1,2,1,1,0,0,1,1,1,0,0,0,0,0,0,1,2,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,1,2,0,0,1,1,0,0,1,0,0,1,1,0,0,2,0,0,0,1,0,1,2,0,0,1,0,0,1,2,1,1,1,0,0,0,2,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1 1,0,1,0,1,0,1,0,1,2,0,0,0,0,1,0,0,1,1,0,0,0,0,1,2,0,1,0,0,1,2,0,1,1,1,0,0,1,0,0,2,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0,2,0,0,0,2,1,1,0,0,0,0,0,0,1,1,1,2,1,2,0,1,0,0,0,0,0,0,1,0,0,0,2,1,1,0,0,0,0,1,1,0,2,0,0,0,0,0,0,0,0,1,0,0,1,1,0,2,2,0,0,0,0,0,0,0,2,0,0,1,1,1,1,0,1,0,1,1,0,0,1,2,1,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,2,0,2,1,1,1,0,0,2,0,0,1,0,0,2,0,0,0,0,1,0,1,0,0,1,0,1,0,2,1,1,0,1,2,0,0,0,0,1,2,0,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,0,1,1,2,2,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,2,0,0,1,0,1,1,0,0,2,1,0,0,1,1,0,0,0,0,2,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,1,1,0,2,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,2,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,2,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,1,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,2,2,0,0,1,0,0,0,0,0,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,2,0,0,1,0,0,2,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,2,2,1,0,0,1,1,1,0,2,1,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,0,2,1,0,1,1,0,0,2,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,2,1,0,0,1,1,1,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,0,1,1,1,0,2,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,2,0,1,0,0,0,1,0,0,0,0,1,1,1,0,2,1,0,1,0,2,0,1,0,1,2,0,2,0,1,0,1,0,2,0,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0,2,0,0,2,0,1,1,2,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,2,1,0,1,0,0,0,1,0,0,0,1,2,0,0,1,1,2,2,0,1,0,0,0,0,0,1,0,0,2,1,0,1,2,2,0,0,0,0,2,2,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,1,1,2,0,1,2,0,1,1,0,2,2,0,0,0,1,1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,2,1,0,0,2,0,1,0,0,1,1,1,0,0,0,0,0,1,0,1,0,1,2,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,1,0,2,1,1,0,0,1,0,0,1,1,0,0,0,1,0,1,1,2,1,0,0,0,2,0,1,0,0,1,1,0,0,0,0,1,2,0,0,1 1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0,0,1,1,2,0,2,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,2,0,0,1,1,0,1,0,0,0,0,0,0,1,1,2,0,0,1,0,0,1,0,2,0,0,1,0,1,2,0,1,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,2,0,0,2,0,1,0,0,2,0,1,1,0,1,0,0,1,0,1,0,2,0,1,0,2,1,1,0,0,0,0,1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,2,1,1,1,0,0,0,2,2,0,2,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,0,2,1,0,0,0,0,2,1,0,1,0,0,0,2,0,1,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,2,1,0,0,2,0,2,0,0,0,1,0,1,0,0,0,0,2,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,2,1,2,1,1,2,0,0,1,2,0,0,0,1,0,0,0,1,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,1,0,1,1,2,2,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,0,0,0,1,1,0,2,0,1,0,2,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,1,1,0,0,0,1,1,0,2,0,0,0,0,0,1,1,1,1,2,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,2,0,0,0,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,2,0,0,0,1,0,0,0,1,0,1,1,0,2,0,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,1,0,2,0,1,1,0,0,0,1,0,1,2,0,1,0,2,1,1,1,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,2,1,0,0,0,0,0,1,2,2,1,1,0,1,1,0,0,2,2,0,1,1,1,1,0,2,0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,2,0,1,1,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,2,2,0,0,0,0,0,2,0,0,0,0,0,2,1,1,1,1,2,0,0,0,1,1,0,1,0,0,1,0,1,2,0,0,1,0,0,1,2,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,2,0,0,0,1,0,2,0,0,0,2,0,0,0,0,0,1,1,2,0,0,0,0,0,1,0,2,2,1,1,0,0,0,0,0,1,0,0,1,1,0,2,1,0,0,1,0,0,1,0,0,2,0,0,1,1,2,2,0,0,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,2,0,1,0,0,1,0,0,2,1,1,2,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,1,1,1,0,1,0,1,0,2,1,1,0,2,0,0,1,0,1,0,1,0,2,2,2,0,1,0,2,0,0,0,0,0,0,0,0,1,0,2,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0,2,0,0,0,1,1,0,1,0,0,0,1,0,2,0,0,1,0,0,2,0,1,0,0,0,1,0,2,1,1,0,1,0,1,1,0,0,1,0,0,2,0,0,2,0,0,1,1,0,0,1,0,1,1,0,1,2,1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1 1,0,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,2,1,0,0,1,0,1,1,0,1,0,1,1,1,2,2,0,1,0,1,2,0,0,2,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,2,1,1,1,1,0,1,1,2,1,1,0,0,0,0,0,1,2,1,0,0,1,0,0,1,0,1,1,1,1,0,1,0,1,1,0,2,2,0,0,0,1,2,1,2,0,0,0,1,1,0,1,2,1,1,0,0,0,0,0,2,0,1,1,0,0,0,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,2,0,0,1,1,2,1,1,0,0,0,0,1,1,2,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,1,2,0,1,0,1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,1,1,1,0,0,0,0,0,2,0,1,0,0,0,1,2,1,0,0,1,2,1,0,0,1,0,0,1,2,1,0,0,1,2,0,1,0,2,0,0,0,0,1,1,0,0,0,2,0,0,0,0,1,0,0,2,0,1,0,0,0,0,1,0,1,0,0,1,0,1,0,2,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1,0,2,0,0,0,1,2,2,2,1,0,1,1,1,1,0,0,1,0,2,1,1,0,0,1,0,1,0,1,0,1,0,0,2,0,0,0,1,2,1,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,2,0,1,1,0,0,1,1,0,1,1,0,0,2,2,2,1,1,0,0,0,0,1,2,0,0,0,2,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,2,0,1,1,0,1,0,0,0,1,1,0,1,2,0,0,1,1,1,2,1,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,2,0,0,0,0,0,0,1,1,1,0,0,2,0,0,2,1,0,1,2,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,1,1,1,0,0,2,0,1,1,0,0,0,1,1,0,0,0,2,1,0,0,1,1,1,0,0,0,0,0,2,1,0,0,1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,0,1,0,0,2,1,0,2,1,0,0,2,0,0,1,2,1,1,1,0,1,2,0,1,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,2,2,0,1,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,2,1,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,1,1,1,1,1,0,1,0,0,0,1,2,0,0,0,2,1,1,0,1,0,0,0,0,0,0,1,0,2,2,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,1,0,1,1,1,2,0,2,0,0,0,0,1,0,0,0,0,0,1,1,1,1,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,2,1,0,0,0,0,2,0,1,0,2,1,0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,1,0,1,2,0,2,0,0,2,0,1,0,0,1,2,0,2,1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,1,2,0,0,1,0,0,1,1,0,1 0,0,0,1,0,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,2,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,2,0,2,0,0,1,0,1,0,2,1,0,0,0,0,1,1,1,1,1,0,1,1,0,1,0,0,1,0,2,0,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,2,0,0,0,0,1,1,0,2,1,0,0,2,0,0,1,1,0,0,0,0,1,0,1,0,2,0,0,1,0,0,1,0,1,1,0,0,0,2,0,1,0,1,0,0,1,0,0,0,0,1,2,0,0,2,1,1,1,2,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,2,0,1,1,2,1,0,0,1,1,1,0,0,1,2,1,0,1,0,0,0,0,0,1,2,0,1,1,1,0,1,0,1,0,1,0,2,0,0,0,0,2,1,0,0,2,1,0,1,2,0,0,1,0,1,0,0,1,2,0,0,2,1,0,0,1,0,1,0,1,0,2,1,0,1,0,0,1,1,2,1,0,0,1,1,0,1,1,0,0,0,0,0,1,2,0,1,0,0,0,1,1,2,0,0,0,2,0,0,1,0,0,0,1,1,1,0,1,0,2,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,2,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,2,1,0,0,1,1,1,1,0,1,0,0,0,1,0,2,0,0,0,0,2,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,1,2,0,2,1,0,0,1,2,1,0,0,0,0,1,1,0,0,2,0,2,1,0,0,2,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,1,0,2,0,1,0,1,0,0,1,1,0,2,1,0,2,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,2,1,0,0,1,0,1,1,0,0,0,0,2,0,0,1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,2,2,1,0,1,0,2,0,1,0,0,1,1,0,0,0,0,0,0,2,2,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,2,2,0,1,0,1,0,0,1,2,1,1,2,0,1,1,0,0,0,1,1,1,1,0,0,0,0,2,1,0,0,0,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,2,0,1,0,0,2,0,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,2,0,0,0,1,0,0,1,1,0,1,0,0,1,1,1,1,1,1,0,1,0,0,1,2,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,2,0,0,0,1,1,1,1,1,1,0,2,0,2,0,0,0,1,0,0,2,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0,1,0,2,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,2,1,0,2,0,2,0,1,1,2,0,1,0,1,1,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,1,2,1,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,2,1,0,0,2,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,2,0,0,0,2,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0,1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,2,2,0,1,0,1,2,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1 1,0,2,1,1,0,0,2,0,2,0,1,0,0,2,0,0,0,1,0,0,1,0,0,1,2,0,1,0,0,2,0,1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,2,2,0,0,1,1,0,0,1,0,1,0,0,2,0,1,1,0,2,0,0,0,0,0,0,0,0,1,0,2,1,1,2,1,0,0,1,1,0,1,0,1,1,0,2,2,1,0,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,2,1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,1,0,0,2,1,1,1,0,1,0,1,0,0,1,0,0,0,2,0,1,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1,0,1,2,1,0,0,0,1,0,0,0,0,1,1,0,2,0,1,0,1,0,0,0,1,2,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,2,0,0,1,0,1,1,0,1,1,1,2,1,0,0,0,2,0,1,1,1,0,0,0,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,1,0,1,0,2,0,1,2,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,2,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,1,0,0,1,0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,2,0,0,1,0,0,0,0,0,0,1,1,2,0,1,1,0,1,1,1,2,2,2,1,2,1,0,1,0,0,0,1,1,2,0,1,0,0,0,2,0,0,2,0,1,1,0,0,1,0,2,1,0,0,1,1,0,1,0,2,0,1,0,1,2,1,0,1,0,0,1,0,2,0,0,0,0,0,1,1,0,2,0,1,0,0,0,0,0,0,0,1,1,0,2,1,2,0,0,0,0,1,0,0,0,2,2,0,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,2,1,0,0,0,1,0,0,0,1,1,1,0,1,1,0,0,1,1,0,2,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,2,1,1,1,1,1,0,0,1,1,0,1,1,1,2,0,0,1,0,0,1,1,1,2,0,0,1,1,0,1,0,1,1,0,0,1,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,1,0,2,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,2,0,0,1,0,0,1,2,0,1,0,0,1,0,1,0,0,2,2,0,1,1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,1,1,2,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,2,1,0,0,2,1,0,0,0,0,1,2,0,0,0,1,0,2,1,0,2,0,1,0,0,1,0,0,0,0,0,2,1,1,0,0,1,0,0,0,1,0,2,1,1,2,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,1,0,1,0,1,0,0,0,1,2,0,0,1,0,2,2,0,2,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,2,2,0,0,0,0,1,0,1,0,0,0,1,2,0,0,1,0,1,0,0,0,2,0,1,0,2,1,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,2,0,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0,2,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0,2,0,1,0,1 0,0,0,2,1,0,1,1,0,0,0,1,0,0,1,0,0,2,2,0,0,1,0,0,0,2,2,2,0,1,1,0,0,1,0,0,1,0,0,0,1,0,2,2,0,0,0,1,1,0,1,0,0,0,1,0,1,1,1,2,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,2,0,1,0,0,1,0,0,0,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,2,2,2,1,0,0,0,0,1,0,1,1,1,0,0,2,0,0,0,0,2,0,1,0,0,2,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,2,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,1,1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,2,0,2,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,1,2,2,0,2,0,1,2,2,0,0,0,0,0,1,2,0,0,1,0,0,0,1,0,1,0,2,0,1,1,0,0,0,1,1,1,0,0,1,1,1,0,0,1,0,1,1,2,1,1,0,0,0,2,0,1,1,0,0,0,0,0,1,0,1,0,0,1,2,1,0,0,1,1,2,1,1,0,1,0,1,1,2,0,1,1,0,0,1,1,1,0,0,1,2,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,1,1,0,0,1,2,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,1,0,0,0,0,0,0,2,0,0,1,0,1,1,2,0,0,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0,2,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,2,1,0,2,0,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,2,1,0,2,1,0,0,0,1,1,0,0,0,1,1,1,1,0,1,0,2,0,0,2,1,2,0,0,2,1,0,0,0,0,1,0,1,1,0,1,1,0,1,1,1,1,0,0,2,0,0,2,1,1,1,0,1,0,2,0,0,0,0,0,0,1,1,2,1,0,0,0,1,1,2,0,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,2,0,1,2,0,0,0,1,1,1,0,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,1,1,2,1,1,1,0,0,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,1,1,0,1,1,0,1,0,1,0,2,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,2,1,1,0,1,0,0,0,2,0,1,0,1,0,0,0,1,1,1,1,1,2,0,1,1,0,0,0,2,1,0,1,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,0,0,1,2,1,0,1,0,1,0,0,0,1,2,2,1,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0,1,1,2,2,0,1,1,1,0,0,0,0,0,2,1,0,0,0,0,2,0,2,0,2,1,2,1,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,1,2,0,0,0,0,1,0,0,0,2,0,2,0,2,0,0,1,1,2,0,0,0,1,1,0,0,2,1,0,0,0,1,0,0,0,0,2,0,0,2,1,0,0,0,0,1,0,1,0,0,2,0,1,2,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,2,0,1,2,2,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1 1,0,2,2,0,0,0,1,1,1,2,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,2,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,0,2,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,0,2,0,0,0,0,1,1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0,2,0,0,1,1,0,0,1,0,2,0,0,0,1,2,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,2,1,0,0,0,0,2,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,2,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,1,1,0,2,2,0,2,1,1,2,0,0,1,1,1,1,0,0,0,0,0,1,0,2,2,0,1,1,2,0,0,0,1,2,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,1,1,1,0,0,2,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,2,1,0,2,0,0,0,2,0,0,0,0,0,1,1,0,1,0,2,0,1,1,0,0,0,0,1,1,1,1,0,1,0,1,0,2,1,1,0,0,0,1,1,1,0,2,0,0,0,1,0,0,2,0,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,2,0,0,1,0,0,0,0,1,2,1,0,1,1,2,0,0,2,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,2,0,1,0,0,1,2,1,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,2,0,0,1,1,1,1,1,0,0,0,1,0,0,0,2,2,0,0,0,1,0,1,1,0,0,2,0,0,1,1,0,0,1,0,1,1,2,0,1,1,0,1,0,0,1,1,1,0,0,2,0,0,0,1,2,1,0,2,0,0,0,0,0,0,1,1,0,0,1,0,2,1,1,2,0,0,0,0,0,0,1,1,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,2,1,0,1,0,2,0,0,1,2,1,1,1,0,0,1,1,0,1,1,0,0,1,2,0,2,0,0,1,0,0,0,2,0,1,2,0,0,0,1,0,0,2,0,1,1,0,2,2,0,0,1,2,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,2,0,2,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,2,1,1,1,1,0,0,0,1,0,0,0,0,1,0,2,0,1,0,1,0,2,0,0,1,0,0,2,0,0,2,2,2,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,2,0,1,0,0,1,0,0,0,0,2,0,1,0,0,0,2,0,0,0,0,1,0,2,0,1,1,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,1,0,2,1,0,1,0,1,0,2,0,0,0,1,0,0,1,1,0,1,1,0,0,0,2,0,0,0,0,0,2,0,0,0,0,2,1,0,1,0,0,1,0,1,1,0,0,0,0,0,2,1,0,0,0,1,0,0,1,0,0,2,1,1,1,0,0,0,0,1,2,2,1,1,1,0,1,1,0,1,1,0,0,2,1,2,1,0,0,1,2,1,2,1,0,1,0,1,0,0,0,0,0,0,0,0,2,1,0,0,2,0,0,1,0,1,0,1,1,0,1,0,0,0,1,2,0,2,2,0,0,0,0,0,1,1,0,0,1,0,1,1,1,2,0,0,1,2,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,2,1,1,0,1,2,1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,2,1,0,0,1,0,0,0,0,1,2,1,0,1,0,0,0,0,0,2,0,0,1,1,0,1,2,0,2,0,0,1,0,1,1,0,1,0,1,0,0,0,0,2,2,1,0,0,1 1,0,2,2,1,0,1,0,0,1,2,0,0,1,0,0,1,0,1,0,0,2,0,0,1,0,2,0,0,1,2,0,2,1,1,0,1,1,0,0,2,0,1,0,0,2,0,1,1,1,2,0,0,0,2,0,0,1,0,2,0,0,0,0,0,0,0,1,1,0,1,0,2,0,0,0,0,1,0,0,0,0,0,1,1,1,2,2,1,1,0,0,1,0,0,2,0,0,2,0,1,0,0,1,2,1,1,1,0,1,0,0,0,2,1,1,0,0,1,1,0,1,2,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,2,0,0,1,0,1,0,1,1,0,0,0,2,1,1,0,2,0,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,0,1,2,0,0,0,2,0,0,2,0,1,1,1,0,0,0,2,0,0,1,1,0,0,1,0,0,2,0,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,2,1,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,2,0,1,0,0,2,1,1,0,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,2,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,1,2,0,0,0,1,0,1,0,0,1,1,0,0,2,0,1,1,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,2,2,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,1,2,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,2,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,1,0,0,1,2,2,1,2,0,1,1,1,2,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,2,2,1,1,0,0,0,0,2,0,1,2,0,0,1,2,1,1,1,0,1,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,2,2,1,0,0,0,1,2,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,2,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,2,1,0,2,2,0,0,0,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,2,1,0,1,0,1,0,0,2,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,2,0,1,1,1,0,1,0,1,0,2,0,1,0,0,0,1,0,0,2,1,0,0,1,0,1,2,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,2,0,0,0,1,1,0,2,0,1,0,0,0,1,0,0,1,1,2,1,0,0,1,0,0,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,2,0,0,2,0,1,0,1,1,0,0,0,2,1,1,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,1,0,0,1,2,0,2,0,1,1,1,0,0,2,1,1,1,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,2,1,1,1,0,0,1,2,0,2,0,1,0,0,0,2,1,0,0,1,2,0,1,0,0,0,1,0,0,0,1,2,1,0,2,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,1,2,2,0,0,1,0,1,1,0,0,0,0,0,0,2,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0,0,2,0,1,1 1,0,1,0,1,1,1,0,1,0,1,1,0,0,2,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,1,0,2,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,2,1,2,1,0,2,0,2,1,1,2,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,2,1,0,0,1,1,1,1,2,2,0,2,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,2,0,1,0,1,1,0,1,1,2,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,2,0,1,0,1,0,0,2,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,1,1,0,0,1,1,1,1,0,1,1,2,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,2,1,0,2,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,1,2,2,0,1,1,0,0,0,0,1,0,0,1,0,0,1,2,0,0,1,0,0,1,0,1,0,0,2,0,1,0,1,0,0,0,1,1,1,1,1,2,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,1,2,0,1,1,1,0,0,1,0,0,1,0,2,0,0,0,2,0,1,0,1,1,0,0,1,0,1,1,2,0,0,1,1,2,0,0,1,0,2,0,0,0,1,0,1,1,0,1,1,1,1,0,2,2,0,2,0,1,1,1,1,0,0,0,0,0,2,1,1,1,0,0,0,1,1,0,0,1,0,0,0,0,1,2,0,0,0,0,1,2,0,1,0,2,0,0,1,1,2,0,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,2,0,0,0,1,0,0,1,1,0,2,0,0,1,0,0,0,1,2,0,0,0,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,2,0,0,0,0,1,1,0,0,0,0,0,1,1,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,2,1,1,1,0,0,0,0,0,0,2,0,0,1,0,0,1,0,1,2,0,2,0,1,0,0,1,2,0,0,0,2,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,2,0,0,0,0,0,1,2,1,1,1,1,1,1,1,0,0,1,0,0,0,0,1,2,0,2,1,0,1,0,1,0,1,2,2,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,1,0,2,0,0,0,1,0,1,1,0,1,2,0,0,0,0,0,0,1,1,1,2,2,0,0,1,1,2,2,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,0,1,0,0,2,0,0,1,1,1,0,1,0,1,1,0,0,2,0,1,0,0,0,0,0,0,0,0,2,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,2,1,0,0,1,1,0,1,0,2,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1 0,0,1,1,1,0,0,1,2,1,1,0,0,1,0,1,1,2,0,0,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,1,1,2,0,0,2,0,1,2,1,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0,2,1,0,0,0,2,1,1,0,1,1,0,0,1,0,0,0,0,0,1,1,2,0,1,1,0,0,0,1,0,0,1,0,0,0,1,1,2,1,0,1,0,2,1,0,0,1,0,2,0,1,2,2,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,1,1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,2,0,0,0,0,0,1,1,1,1,0,0,1,1,0,1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,2,2,1,0,1,1,2,0,2,0,1,1,0,2,1,0,0,0,0,2,0,1,2,0,1,0,1,0,0,0,1,1,2,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0,1,0,2,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,2,1,0,0,0,1,1,0,1,2,0,0,0,0,0,1,1,0,0,0,0,1,1,1,1,2,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,1,2,1,1,0,2,1,0,0,0,0,1,2,1,0,0,0,0,0,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,2,0,0,1,1,1,1,0,2,1,0,1,1,0,2,0,1,1,0,1,2,0,1,0,1,2,0,1,1,1,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,2,0,0,0,1,2,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,1,2,0,1,0,0,1,1,0,1,0,1,2,1,0,0,0,0,1,2,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,2,0,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,2,1,2,2,0,1,1,0,0,2,0,2,1,2,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,2,0,0,1,2,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,1,1,0,2,1,0,0,0,1,0,0,1,0,2,0,2,0,0,0,0,0,0,1,1,0,0,1,2,1,1,1,0,0,0,2,1,1,1,0,0,0,0,0,1,1,2,1,0,0,0,0,0,1,1,1,2,1,0,2,0,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,0,1,0,1,1,2,0,0,1,0,0,0,1,0,1,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,1,1,2,0,1,1,0,0,1,1,1,0,0,0,0,2,2,1,2,1,0,0,0,0,2,1,0,2,1,0,1,0,0,0,0,0,1,2,1,1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,2,0,1,1,0,0,0,0,0,1,1,1,0,0,0,2,0,0,1,2,2,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,2,0,1,0,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,1,1,0,0,1,0,0,1,0,2,0,1,0,1,0,0,2,0,1,0,1,0,0,2,2,0,1,0,0,0,0,1,0,0,2,0,0,0,0,2,1,1,2,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,1,1 1,0,1,2,0,0,1,0,0,0,0,0,1,1,2,1,1,1,0,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,0,1,1,1,1,2,0,0,0,1,0,1,1,2,1,2,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,1,0,0,2,0,0,1,0,0,1,1,1,0,2,0,0,1,0,2,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,1,2,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,2,2,0,0,0,0,1,0,0,1,0,1,0,2,1,0,1,0,0,0,0,1,0,0,2,0,1,0,0,1,2,0,1,0,0,0,0,1,1,1,0,0,0,0,1,2,0,1,1,0,2,2,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,2,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,2,1,1,2,1,0,1,1,2,1,1,0,0,0,2,1,0,0,0,1,0,0,0,2,1,0,0,2,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,1,1,0,2,2,2,1,1,0,2,0,1,0,0,2,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,2,0,1,1,2,1,0,0,0,0,2,0,2,1,0,0,0,2,1,1,0,0,2,0,0,1,0,0,0,0,0,0,0,1,1,2,0,0,1,0,1,0,0,0,0,0,1,2,2,0,1,2,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,1,1,0,2,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,2,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,1,0,2,0,1,0,1,1,0,2,0,2,1,1,0,0,1,1,0,2,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0,2,0,0,2,2,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,2,0,0,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0,1,0,2,0,1,0,1,0,0,1,1,0,1,0,1,1,1,0,0,0,1,2,2,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,2,1,1,1,0,1,0,1,1,2,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,2,0,0,0,2,1,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,2,1,2,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0,1,0,2,0,1,1,0,0,0,1,0,2,2,2,1,0,1,1,0,1,0,0,0,1,0,2,0,2,1,0,2,0,0,0,0,0,1,2,1,0,1,0,0,1,0,2,2,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,2,0,1,0,1,0,1,1,2,1,1,0,0,0,0,2,0,1,2,0,0,2,0,1,1,0,0,0,0,0,1,1,1,1,1,0,1,1,1,1,0,1,0,1,0,1,0,2,0,1,2,0,0,0,2,1,0,1,0,0,0,0,1,0,2,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,2,0,0,0,0,1,0,0,0,1,1,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,1,2,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1 1,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,2,0,0,0,0,1,1,1,0,2,0,1,2,0,2,1,1,0,1,2,0,0,0,0,0,2,0,0,0,0,0,0,1,2,0,0,0,1,1,0,1,0,1,1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,2,0,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,2,0,0,2,0,0,2,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0,2,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0,2,0,1,1,0,1,1,2,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,2,2,1,1,1,0,0,0,2,0,1,0,1,1,2,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,2,0,1,2,1,1,0,0,1,1,0,2,0,0,0,0,1,1,1,1,0,0,0,0,1,2,0,0,1,0,1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,2,1,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,1,2,0,0,0,0,0,1,0,1,1,2,0,1,0,1,0,2,0,1,1,0,0,0,1,0,0,1,0,1,2,2,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,0,1,0,0,1,2,0,1,1,0,1,0,2,0,0,1,1,1,0,0,0,1,0,2,1,1,0,0,0,0,0,1,1,0,2,0,1,0,0,0,1,1,0,1,1,0,2,0,1,2,2,2,1,0,0,1,0,0,1,2,0,0,0,1,1,0,2,2,1,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,2,1,1,0,0,1,1,0,0,1,0,0,1,2,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,2,0,2,1,0,0,2,0,1,1,0,0,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0,2,0,1,1,1,1,0,1,1,0,2,1,2,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,2,1,0,1,0,0,1,0,0,0,0,0,0,0,0,2,2,0,0,1,0,1,0,0,1,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,2,0,0,2,0,0,0,0,2,1,0,0,0,0,1,2,0,1,0,0,2,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,2,2,1,0,0,0,0,1,1,1,1,0,2,1,0,1,0,1,0,0,1,0,0,0,1,1,2,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,1,0,2,2,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,1,2,0,1,1,0,2,0,1,2,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,2,1,1,1,0,1,0,1,0,0,1,0,1,1,1,2,0,0,1,0,1,1,1,1,2,1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,2,0,0,0,1 1,0,0,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,1,1,2,0,0,2,0,1,1,0,0,1,0,0,0,2,0,0,0,1,0,1,0,0,1,1,0,0,1,1,0,2,0,2,0,0,0,0,0,0,0,0,2,2,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,1,2,1,0,0,0,1,1,2,0,0,0,0,0,0,0,2,2,1,0,1,0,0,0,1,2,0,2,1,0,2,0,0,0,0,2,1,1,1,0,1,1,0,2,1,0,0,0,0,0,1,1,1,0,1,0,1,0,1,1,2,0,0,1,0,0,0,0,0,1,1,0,0,0,0,2,0,0,2,0,0,0,0,0,0,2,1,0,2,0,1,1,2,0,0,0,1,0,1,1,0,0,2,0,0,0,0,0,0,0,0,0,1,2,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,1,1,0,1,1,1,1,0,0,0,0,0,2,0,2,0,0,0,0,0,2,0,1,1,0,2,0,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,2,1,0,0,0,1,0,0,0,0,1,2,0,0,0,1,1,2,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,2,0,1,0,2,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,2,2,1,1,2,0,1,1,0,1,0,2,0,0,2,0,0,1,0,1,0,0,2,1,2,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0,2,1,0,0,2,0,0,1,1,0,1,0,0,1,0,0,1,0,0,2,1,2,1,1,1,2,1,0,1,0,0,0,0,0,1,0,1,2,0,0,0,1,0,0,0,1,0,0,2,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,1,0,1,1,0,0,1,2,1,1,1,1,0,0,1,0,1,1,0,0,2,0,2,1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,2,0,0,2,0,0,1,1,2,0,0,0,0,1,0,0,0,0,0,0,0,2,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,1,2,0,0,1,0,1,2,1,1,0,1,0,2,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,2,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,1,1,0,1,1,0,2,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,2,0,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,2,1,1,2,1,0,0,1,0,1,2,1,1,1,1,1,0,0,0,2,0,1,0,1,0,0,0,0,2,1,2,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,0,2,0,1,0,1,0,1,1,0,1,2,0,1,1,0,0,1,2,1,2,0,1,0,2,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0,2,0,1,0,0,0,1,1,2,2,2,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0,2,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,2,0,1,1,2,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,2,0,1,0,0,1,2,0,2,1,0,2,1,1,0,1,0,0,0,0,2,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,1,1,2,0,0,0,0,0,1,2,1,0,1,0,1,0,1,1,2,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,1 0,0,0,0,1,0,0,1,1,0,1,1,0,2,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,2,0,1,0,0,0,0,2,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,2,1,0,0,1,2,0,0,0,0,0,2,0,1,1,0,1,0,1,1,0,0,0,0,0,0,2,0,0,1,1,1,0,0,0,0,0,1,0,2,1,1,0,1,1,1,1,2,1,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,0,2,0,0,0,1,2,0,1,0,2,0,0,0,0,0,0,0,2,1,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,2,0,0,0,0,2,0,0,1,0,1,0,1,2,2,0,1,0,0,0,2,0,0,1,1,1,2,1,1,0,0,0,1,0,0,0,1,0,1,2,0,1,1,0,2,0,0,0,1,1,1,2,0,1,2,1,0,0,1,1,1,0,2,0,0,1,0,0,0,1,1,1,1,0,0,2,1,0,0,0,1,0,0,0,1,0,1,0,2,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,2,0,2,2,1,0,0,2,0,0,0,0,0,0,0,1,1,1,1,1,2,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,2,1,0,0,0,1,0,1,0,0,1,1,2,1,0,0,0,1,1,0,0,0,0,0,0,0,0,2,1,0,0,1,1,1,0,0,1,0,0,1,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,2,1,1,1,1,0,1,0,0,2,2,0,1,1,0,0,1,0,1,0,2,0,1,1,0,0,2,0,1,2,0,1,1,1,0,2,1,0,2,1,1,0,0,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0,1,1,1,0,2,0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,2,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,2,1,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,2,1,1,1,1,0,0,2,0,1,0,0,2,0,1,0,1,0,0,0,0,0,2,0,0,1,1,0,0,2,0,2,0,1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,0,1,1,2,0,0,1,2,0,1,1,0,0,1,0,0,1,0,0,1,0,2,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,1,1,0,2,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,2,1,1,0,2,0,1,1,2,1,1,2,0,0,0,0,1,1,0,1,2,0,1,1,0,0,1,2,2,0,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,2,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,1,2,2,1,1,0,2,1,2,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,2,2,1,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,1,1,1,1,2,2,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,2,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,1,1,2,0,1,0,1,0,1,1,0,0,0,0,0,1,0,1,2,0,1,1 0,0,2,0,0,0,2,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,0,2,0,0,1,1,2,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,1,1,0,2,1,0,0,2,1,0,1,0,0,1,0,2,1,0,1,1,2,1,0,0,1,2,1,0,2,0,0,1,0,2,1,1,0,0,0,0,1,0,0,0,0,2,0,1,0,1,0,2,0,1,0,0,1,1,2,0,0,1,0,0,1,0,0,0,0,1,2,0,1,1,1,0,2,0,0,0,2,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,2,0,0,1,0,1,0,1,0,0,0,0,0,2,0,1,1,0,2,0,1,0,1,2,0,1,0,0,0,1,0,2,0,2,0,1,2,1,0,1,0,0,0,1,0,0,0,0,0,1,1,2,0,0,0,1,1,0,0,2,0,1,0,1,0,1,1,0,0,0,1,0,2,1,0,0,1,0,1,0,1,2,1,0,0,0,0,1,0,1,0,2,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0,1,0,2,1,0,1,0,0,2,0,1,1,0,0,1,2,0,1,0,0,0,0,0,1,0,0,0,2,0,1,0,1,0,1,1,0,0,1,0,1,2,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,2,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,2,2,0,0,0,1,1,0,0,1,1,0,0,0,0,1,2,0,1,0,0,1,1,0,0,2,0,1,0,1,0,2,0,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,2,0,0,0,1,0,1,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,2,0,0,0,1,0,1,0,0,0,2,0,0,0,2,0,1,0,0,2,1,0,0,2,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,2,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0,2,1,0,0,0,0,0,1,1,2,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,2,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,2,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0,2,1,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,2,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,2,0,0,2,0,2,2,1,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,2,1,1,1,1,2,2,0,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,2,0,1,0,1,0,0,2,0,1,1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,2,0,1,0,2,2,1,1,0,1,0,0,0,0,2,0,1,0,0,0,0,2,1,0,2,0,1,2,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,2,1,0,0,0,0,0,0,0,1,2,1,1,0,1,0,0,1,0,2,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,2,0,2,0,0,0,1,2,0,1,0,0,0,2,2,1,0,0,0,1,0,0,1,0,1,0,1,1,1 1,0,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,2,0,1,1,1,0,1,1,2,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,2,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1,2,0,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,2,0,1,2,1,0,2,1,1,0,1,0,0,2,0,1,0,2,0,0,2,0,2,0,1,1,0,0,0,0,0,0,0,2,1,1,1,0,0,1,0,1,1,2,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,1,1,1,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,2,1,0,1,1,0,1,1,0,1,0,1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1,0,1,1,2,0,0,0,0,2,0,2,1,1,0,1,1,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,1,1,2,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,1,0,2,0,2,1,0,0,1,1,0,0,0,0,0,1,1,1,0,1,0,0,2,2,0,0,0,0,0,0,2,1,1,0,0,0,0,1,1,2,0,1,1,0,1,0,0,1,2,1,0,1,0,0,0,0,0,1,2,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,2,1,0,0,1,1,1,2,0,1,1,2,1,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,2,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,2,2,1,0,0,1,1,2,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,1,2,1,0,0,0,2,1,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,2,2,1,1,0,0,0,0,0,2,0,2,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0,2,0,1,0,0,0,0,2,1,1,2,0,2,1,0,2,0,1,0,1,0,0,1,0,1,0,0,1,1,2,1,1,1,1,0,1,2,1,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,2,0,1,0,1,1,1,0,0,2,1,1,1,0,0,1,2,0,1,0,0,2,0,0,0,1,0,1,0,0,0,1,1,0,0,2,0,0,1,2,0,2,0,1,0,1,0,1,1,0,1,0,2,0,1,1,2,1,1,2,1,1,1,0,2,0,0,0,0,0,1,1,0,0,0,0,0,1,2,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,1,0,2,1,1,0,0,0,1,2,1,1,0,1,0,1,0,1,1,2,1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,2,1,0,0,0,0,1,0,0,0,0,2,2,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,2,2,0,0,0,1,2,0,0,1,2,1,0,1,1,0,0,0,2,1,2,2,1,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,2,0,1,1,0,0,0,0,2,1,1,0,2,0,1,0,1,2,1,0,0,2,2,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,1,2,2,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,2,0,1,2,1,1,0,0,1,1,2,1,1,1,0,1,1,1,1,0,1,0,0,0,1,2,2,0,0,1 0,0,2,2,1,1,1,0,0,1,0,0,0,1,2,2,0,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,2,1,1,0,1,0,1,0,0,1,0,2,1,0,0,2,0,1,1,0,0,1,1,0,0,0,2,0,0,0,0,1,0,1,0,1,1,0,1,0,1,1,0,2,2,1,0,0,1,0,1,0,1,1,2,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0,2,0,1,0,0,0,1,0,0,0,0,0,0,2,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,1,2,2,0,1,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,2,1,0,0,0,2,1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,2,0,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,2,2,0,2,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,2,1,0,1,0,1,0,2,1,1,1,0,0,0,0,1,1,0,2,1,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,2,1,0,1,0,0,1,0,0,2,0,0,1,0,1,0,0,0,0,2,2,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,2,2,1,2,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,2,0,2,0,1,1,1,1,1,0,0,0,1,1,0,2,0,0,1,0,0,2,0,2,0,1,1,0,0,1,1,0,2,1,0,0,1,0,1,1,0,2,0,2,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,2,2,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,2,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,2,0,0,2,1,2,0,0,0,0,0,0,2,2,0,0,0,1,0,1,1,0,0,0,0,0,2,2,1,0,0,1,0,0,1,0,0,0,0,2,2,1,2,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,1,0,2,0,0,0,1,2,0,0,1,1,2,0,2,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,2,0,1,0,1,0,0,0,1,0,1,0,1,0,2,0,1,0,1,1,2,0,0,0,1,0,0,1,1,0,0,1,0,0,2,0,1,2,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,1,0,0,1,2,1,0,1,0,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0,2,1,0,1,0,0,1,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,2,0,0,1,0,1,1,2,1,0,0,2,0,2,1,2,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,2,0,0,0,2,2,0,1,0,1,1,0,0,0,0,1,2,0,1,0,0,2,0,0,0,0,0,0,2,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,1,1,0,2,0,0,0,0,2,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,1,2,1,1,0,2,0,1,1,2,0,0,2,1,0,1,0,0,0,0,0,2,0,0,2,0,2,0,1,0,1,1,0,0,1,2,0,1,0,0,2,0,0,0,0,1,2,0,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,2,1,2,0,1,0,1,1,1,0,0,0,0,0,0,1,1,1,0,0,1,1 0,0,1,2,0,1,0,0,1,1,1,0,0,2,2,0,0,1,2,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,2,1,1,2,0,0,0,2,0,1,0,0,0,0,0,2,0,1,2,0,0,1,1,1,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0,2,0,1,1,2,0,0,0,0,2,0,0,1,0,1,1,0,0,0,2,0,1,0,0,0,1,0,0,0,2,0,1,1,0,0,1,1,1,0,1,2,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,2,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,2,0,0,1,0,0,0,0,2,1,0,2,2,0,1,0,0,0,0,1,1,1,0,0,2,2,1,0,2,1,2,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,1,2,0,0,1,2,1,0,1,0,1,0,0,2,0,2,0,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,1,2,0,0,0,0,2,1,2,2,2,0,0,1,0,0,2,0,0,0,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,2,0,0,2,1,1,0,0,2,1,1,0,1,0,0,1,0,1,0,0,1,1,1,0,2,2,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,2,0,0,1,2,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,2,1,1,1,2,0,2,2,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,2,2,0,1,0,1,1,2,0,0,0,1,2,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,2,0,2,0,0,1,0,0,0,0,1,1,0,2,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,2,0,1,1,0,1,0,1,2,1,0,0,2,1,0,2,1,1,1,0,0,1,0,1,0,2,2,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,1,1,1,0,2,0,0,1,0,0,1,1,0,1,1,1,0,1,0,1,0,1,0,0,1,1,2,0,1,1,0,1,1,2,0,0,0,0,1,2,0,0,0,1,1,0,1,0,0,0,1,2,0,0,0,0,1,0,2,0,1,0,0,1,0,2,1,1,0,1,1,1,0,0,0,1,0,0,0,1,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,2,2,1,0,0,1,2,0,0,0,0,0,2,1,0,1,0,0,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,0,2,0,1,1,1,1,1,0,0,0,0,0,2,2,2,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,2,0,0,0,2,0,1,0,1,1,0,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,2,0,0,0,0,1,1,1,0,1,2,1,1,1,0,1,1,0,0,2,0,0,1,0,1,2,0,0,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,2,0,1,2,0,1,1,2,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,1,1,2,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,1,1,1,1,0,0,0,0,1,0,2,0,1,0,1 0,0,0,2,0,0,0,0,1,1,1,0,0,1,2,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,1,2,1,0,1,1,0,1,1,0,0,2,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,1,2,0,1,1,0,2,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,2,0,2,1,2,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,2,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,2,0,1,0,1,1,0,1,1,0,0,1,1,1,2,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,2,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,2,0,1,1,2,1,0,0,0,1,0,0,0,2,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,2,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,2,0,1,0,0,2,0,0,0,0,1,2,0,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,1,2,0,0,0,2,0,0,2,1,0,1,0,1,2,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,2,1,0,0,1,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,2,0,2,1,1,1,1,0,2,1,1,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,2,0,1,0,0,0,2,1,0,1,1,0,0,0,0,1,0,2,0,0,0,0,1,0,1,1,1,0,0,0,1,2,0,0,1,0,1,0,0,1,1,0,2,0,1,0,1,1,0,0,2,1,0,0,2,1,1,0,1,1,0,1,1,0,0,1,1,1,1,0,1,2,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,1,0,1,0,0,1,0,1,2,0,0,1,0,0,2,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,1,0,0,0,1,0,0,1,1,0,1,0,1,1,0,2,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,2,1,0,0,2,0,0,2,0,0,1,1,0,1,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,2,0,0,0,2,0,0,1,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,2,1,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,1,0,2,0,2,1,0,1,0,2,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,1,2,0,0,0,0,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,2,1,1,1,1,1,0,0,1,0,0,0,0,1,1,2,0,1,1,1,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,2,1,0,0,0,0,0,2,1,0,0,0,0,0,1,1,0,1,2,0,0,0,0,2,1,0,1,0,2,1,1,0,0,0,1,0,1,1,2,0,0,0,1,0,0,1,0,1,1,0,0,0,2,0,2,0,0,0,2,0,1,0,0,2,0,0,2,0,1,0,0,0,2,0,1,0,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1 0,0,0,1,1,0,0,1,1,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,2,0,0,0,2,0,0,2,0,1,1,0,0,1,2,0,0,0,0,0,0,1,2,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,2,1,1,0,0,0,1,2,1,1,0,2,0,0,2,0,1,1,1,1,0,0,0,1,1,2,0,0,0,1,0,0,1,1,2,1,1,0,1,0,0,0,2,1,1,1,1,1,0,2,0,0,0,0,2,0,1,0,0,0,0,0,2,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,2,0,1,1,1,1,0,0,0,0,2,1,1,0,0,1,2,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,2,1,2,1,0,2,0,1,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,1,1,0,1,1,0,0,2,1,1,0,0,1,1,2,0,1,0,0,2,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,1,2,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,2,0,0,2,1,0,1,2,0,1,0,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,1,0,2,0,1,0,0,0,1,1,2,2,0,0,1,0,0,1,1,0,0,0,0,2,0,0,0,0,1,0,0,2,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,2,2,0,0,0,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,2,0,1,0,0,1,0,2,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0,2,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,1,1,0,1,1,2,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,2,1,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,1,0,2,1,0,0,0,0,1,0,0,0,2,2,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,1,2,0,2,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,1,2,0,0,0,0,2,0,0,0,1,0,0,0,1,1,0,0,0,2,1,0,0,0,1,0,2,0,2,1,0,1,0,2,0,0,0,0,0,0,0,1,0,0,2,0,0,2,1,1,1,0,0,0,0,2,1,1,0,1,1,2,0,0,0,0,0,0,0,0,1,2,0,1,0,0,1,1,0,0,1,1,1,1,0,0,0,2,0,1,1,0,0,1,0,1,1,1,0,2,2,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,1,2,2,1,0,0,0,0,2,0,0,0,0,1,0,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,2,1,0,0,0,1,2,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,2,1,0,0,1,1,0,0,2,0,1,0,0,0,0,1,2,0,0,1,0,0,1,0,0,2,0,1,0,0,0,0,1,1,0,0,0,0,1,1,1,0,1,1,0,1,2,0,0,0,2,2,0,0,2,1,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1 0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,2,0,0,0,1,0,0,1,1,1,2,2,0,0,0,0,1,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,1,2,0,0,0,1,0,1,0,1,0,0,0,0,0,0,2,1,2,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,2,1,1,1,0,1,1,0,1,0,2,0,0,0,2,1,0,2,1,0,2,2,0,2,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,1,1,1,2,0,0,1,1,1,0,1,0,0,0,1,1,0,2,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,1,1,0,2,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,0,0,1,2,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,2,1,0,1,1,0,2,1,1,1,1,1,1,0,2,0,0,0,0,1,0,0,1,0,2,0,1,0,0,2,1,0,0,0,0,0,2,0,0,0,1,0,1,1,0,0,0,1,0,0,0,2,0,0,0,1,2,0,0,0,1,0,0,1,1,0,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,2,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,1,1,0,2,0,1,0,1,1,1,2,1,1,0,1,1,0,1,1,1,0,0,0,1,0,2,0,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,1,2,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,2,0,0,0,1,1,1,1,0,1,0,1,1,2,0,1,0,0,0,0,1,0,1,0,1,1,0,0,0,2,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,2,0,0,1,0,2,0,0,1,0,1,0,1,2,0,0,0,0,0,1,1,1,1,1,2,0,1,1,0,1,0,0,1,2,1,0,0,0,0,1,1,1,1,1,1,1,1,0,1,0,1,0,1,1,0,2,0,0,1,0,0,0,2,0,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,2,0,0,0,2,1,0,0,1,1,1,0,2,1,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,2,1,1,2,1,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,2,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,2,0,1,0,0,1,0,1,0,1,0,0,0,1,1,1,0,0,2,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,2,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,1,1,2,1,0,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,2,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,1,0,0,1,2,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,1,2,0,0,2,1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0,2,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,2,0,1,0,0,2,1,1,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0,1,1,0,2,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1 0,0,0,1,1,2,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,1,0,1,0,0,1,1,0,0,2,2,0,1,1,2,0,1,1,0,0,1,2,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,2,0,2,0,0,0,0,0,0,1,0,1,2,0,1,0,0,2,0,0,0,1,0,0,0,0,1,1,0,1,1,0,2,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,2,1,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,2,0,2,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,2,0,1,1,1,2,1,0,0,0,1,0,0,2,0,0,2,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,2,0,0,0,0,1,0,2,2,1,0,1,0,1,1,1,2,0,0,1,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,1,1,2,0,0,1,0,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,1,1,1,2,1,2,0,1,0,0,0,0,2,1,0,1,0,0,1,1,0,1,1,0,0,1,0,1,1,1,2,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,2,1,1,0,0,2,1,0,0,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,1,2,0,2,1,0,0,1,0,1,2,0,2,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,2,1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,1,1,0,1,0,0,2,0,0,0,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,2,0,0,1,0,0,0,1,2,1,0,0,0,0,1,0,2,2,0,0,2,0,0,0,0,1,0,1,1,0,1,0,0,2,0,0,0,0,0,2,0,1,0,2,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,1,2,0,0,0,1,0,0,0,0,1,2,0,1,2,1,0,0,1,1,0,0,2,1,1,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,2,0,0,1,0,1,0,0,0,1,0,1,0,0,0,2,2,2,0,1,0,0,0,2,0,1,0,2,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,2,1,0,1,0,1,1,2,2,0,1,0,0,1,0,1,1,1,1,1,0,0,0,1,1,1,0,1,0,1,0,1,0,2,0,0,0,1,0,0,1,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,2,0,0,1,0,0,1,0,0,2,1,0,0,0,1,0,0,0,2,0,0,0,1,0,1,0,1,1,2,1,0,0,0,0,0,0,1,0,2,0,2,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,2,0,1,0,1,1,0,1,1,1,0,1,0,0,2,0,2,1,0,1,0,0,0,0,0,0,1,0,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,0,1,2,0,0,0,0,0,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,1,1,2,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,2,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,1,1,1,2,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,2,2,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,1,2,1,1,1,0,1,1,0,0,0,1,1,0,2,0,0,0,1,0,0,1,0,1,1,0,0,1 0,0,0,0,1,1,2,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,2,1,0,1,2,0,0,0,2,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,2,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,2,1,0,0,1,0,1,2,1,0,1,2,0,0,2,0,0,1,0,1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,2,2,2,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,2,1,1,1,1,1,0,0,0,2,1,0,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,2,0,1,0,1,2,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,2,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,2,0,1,1,1,2,0,2,1,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,2,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,2,0,0,0,1,1,2,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,1,0,1,1,1,1,2,2,0,1,0,0,1,2,1,1,0,1,0,1,1,2,0,1,0,2,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,1,1,1,0,1,0,1,2,0,0,0,2,0,1,0,0,0,1,0,1,0,1,1,0,0,2,1,0,1,0,2,0,0,0,0,0,1,1,0,2,0,1,0,0,2,2,0,0,0,1,0,0,1,0,0,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,2,0,0,0,2,0,0,0,1,0,0,0,0,0,1,1,1,0,0,2,0,2,1,0,2,0,2,1,0,0,0,0,2,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,1,1,0,1,2,0,0,1,0,2,1,1,2,2,0,0,1,0,2,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,1,0,2,0,1,0,2,0,1,0,1,1,1,0,1,0,0,1,0,0,2,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,2,1,2,1,2,0,1,2,2,0,1,0,0,0,1,1,1,1,0,0,0,0,0,2,2,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0,1,2,0,1,1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,2,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,2,1,1,1,0,0,0,0,0,0,0,0,1,0,2,0,1,1,0,0,0,0,0,1,2,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,2,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,2,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,2,0,1,2,1,0,1,0,1,0,0,1,0,0,0,0,1,2,1,1,0,0,0,0,1,0,0,1,0,0,2,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,2,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0,2,1,1,2,1,2,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1 1,1,2,0,1,1,1,0,0,2,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,2,1,1,0,1,0,1,1,0,0,2,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,2,0,2,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,2,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,2,1,0,0,1,0,2,1,0,0,0,1,2,0,0,0,1,1,1,1,0,0,1,0,0,2,0,0,0,1,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,2,2,0,1,0,2,2,2,1,2,0,1,0,1,0,1,1,2,0,2,0,0,0,0,1,0,0,0,1,1,1,1,2,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,2,0,2,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,2,1,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,2,1,0,0,0,1,2,1,0,0,1,1,0,0,2,0,0,0,0,2,2,1,0,0,0,0,0,2,0,1,1,0,1,1,0,0,0,0,0,0,1,0,2,0,0,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,1,0,0,2,0,1,0,1,1,0,0,0,2,0,1,1,1,0,2,2,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0,2,1,1,1,2,1,1,0,2,1,0,1,0,0,0,0,2,1,0,0,1,0,1,0,1,1,0,0,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,2,0,0,2,1,1,0,2,1,0,0,1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,2,0,0,1,0,0,1,1,0,0,2,1,1,0,0,0,0,2,1,0,2,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,1,2,1,1,0,0,0,2,1,1,0,0,1,0,0,2,0,0,0,0,1,0,1,2,1,1,1,1,0,0,0,0,1,2,0,0,0,2,1,0,0,0,2,0,0,1,1,0,0,1,1,2,2,2,1,1,1,1,2,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,1,1,1,2,1,1,1,0,0,0,0,0,0,0,1,1,2,0,1,0,1,1,1,0,0,0,0,0,0,2,0,1,0,2,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,0,2,0,2,1,0,1,2,1,0,1,2,2,0,0,1,0,2,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,2,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,2,0,0,2,1,0,0,0,0,0,1,1,0,1,0,1,2,0,0,0,0,0,0,0,0,0,2,1,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,2,0,0,1,2,1,0,2,1,0,0,1,0,1,1,2,1,1,0,0,1,1,0,0,0,0,0,1,0,1,2,0,1,1,0,2,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,2,1,2,0,2,0,1,0,0,1,0,0,1,2,2,1,0,0,0,1,0,1,1,0,0,0,0,2,0,1,1,0,0,0,0,0,1,0,2,0,0,0,1,0,1,1,0,0,0,0,0,2,0,2,1,1,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,2,2,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,2,1,0,0,0,1,0,0,1,0,0,1,0,0,2,0,1,0,0,1,1 1,0,0,2,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,2,1,1,0,0,0,2,0,0,1,0,1,0,0,0,2,0,0,0,0,0,1,0,0,2,0,0,1,0,2,0,1,0,0,1,1,1,0,0,0,0,1,0,2,1,2,0,0,1,2,1,1,0,0,1,0,0,2,0,0,0,1,2,0,0,0,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,1,0,1,1,0,0,0,2,0,0,1,2,0,2,0,0,1,0,1,2,0,1,1,0,0,0,1,0,1,0,0,2,1,1,0,1,0,1,0,1,1,0,1,2,0,1,0,0,0,1,0,0,1,0,0,2,1,1,0,0,0,1,0,0,0,2,0,1,0,1,0,1,0,0,0,0,2,1,0,1,2,0,1,1,0,0,1,0,2,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,2,1,0,2,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,2,1,2,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,2,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0,1,2,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,1,0,2,0,1,0,0,0,0,0,0,1,2,0,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,2,0,0,0,0,0,0,0,2,0,0,0,2,1,2,0,1,0,2,1,0,0,1,0,0,2,1,0,0,0,1,2,1,0,2,0,0,0,0,0,1,1,1,1,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,1,0,1,0,2,0,0,0,0,0,0,0,2,0,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,2,1,0,1,0,0,2,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,1,2,1,1,0,0,1,0,0,0,0,2,0,1,0,0,1,1,0,2,0,0,0,0,1,0,0,2,2,0,1,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,2,0,0,1,0,2,0,2,0,0,0,0,0,0,1,1,0,1,1,0,1,0,2,0,2,1,1,1,1,2,0,0,0,0,2,0,0,0,2,1,1,0,1,2,1,0,1,0,1,0,1,1,0,0,0,0,0,2,0,0,1,1,2,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,2,1,0,0,1,0,1,1,1,2,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,2,1,0,0,0,1,0,1,2,0,0,0,1,0,0,0,0,0,1,1,0,0,0,2,2,0,2,0,0,0,1,1,2,2,0,0,1,2,2,1,1,1,1,1,0,1,1,1,0,2,0,2,2,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,2,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,2,1,1,0,0,0,0,0,1,2,1,1,0,1,1,2,1,1,0,0,0,0,2,0,1,0,0,0,0,0,1,1,0,0,1,1,0,2,2,1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,2,2,0,1,1 0,0,2,1,1,0,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,2,1,0,1,1,1,0,2,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,2,1,0,0,1,0,1,0,1,2,0,0,0,0,1,2,0,0,0,0,0,0,1,1,1,0,1,1,1,0,1,0,0,2,0,0,2,1,0,0,0,1,0,1,0,1,0,0,0,2,0,2,0,1,0,1,0,0,1,1,1,1,0,1,0,2,0,0,0,0,1,0,0,0,0,1,1,0,0,2,0,0,2,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,2,1,0,1,0,1,2,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,1,1,0,1,0,1,1,1,0,1,1,0,0,2,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,2,1,1,0,1,1,0,1,1,0,0,1,0,2,1,0,0,0,1,0,0,1,0,0,0,0,0,2,1,1,1,0,0,0,0,1,1,0,0,0,0,2,0,2,1,0,0,1,2,0,1,0,0,1,1,2,0,2,0,0,1,1,0,0,0,0,1,1,0,1,2,0,0,0,0,1,2,0,0,0,1,0,0,1,1,0,0,2,1,1,0,1,0,1,0,0,0,0,1,1,1,1,0,0,0,1,2,0,0,0,0,1,2,0,1,0,1,0,1,0,1,0,1,0,2,0,0,0,1,0,0,0,2,0,0,0,1,1,1,1,2,0,2,0,0,0,0,1,1,1,0,2,0,1,0,1,0,0,0,2,0,0,2,0,1,0,0,1,1,0,2,0,0,0,0,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,1,2,0,0,0,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,2,0,1,1,1,0,1,1,0,0,2,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,2,0,0,1,0,1,1,0,0,0,0,2,0,2,1,1,1,0,2,0,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,1,1,2,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,2,1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,1,0,2,0,1,0,0,0,0,0,0,0,2,0,1,1,0,0,0,1,2,0,1,0,0,0,0,1,0,0,0,2,0,1,1,0,0,2,0,1,0,1,1,2,1,0,0,1,0,1,0,0,2,0,0,0,1,0,2,1,0,0,2,0,0,0,1,1,0,0,0,0,0,0,2,0,1,1,0,2,0,1,0,1,1,1,0,0,1,2,0,0,1,1,0,2,0,1,0,0,1,0,1,0,0,1,1,0,0,2,0,0,1,2,0,0,1,2,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,2,2,2,0,0,1,0,2,1,1,2,2,0,1,1,1,0,1,1,0,1,1,1,0,2,2,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,2,0,1,1,0,0,0,0,2,0,1,0,1,0,0,0,1,1,1,0,0,1,1,0,2,0,1,1,2,1,0,0,1,0,0,0,1,1,0,0,0,0,2,0,1,1,0,0,0,0,0,1,1,2,0,0,1,0,2,0,0,0,0,0,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0,2,1,0,0,0,0,0,1,1,0,1,1,0,0,2,1,1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,1,1,0,0,0,2,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1 2,0,0,0,0,1,0,0,0,1,2,1,0,2,0,1,0,0,1,0,0,0,2,0,2,1,0,1,1,1,2,0,1,0,0,0,1,0,0,1,0,1,0,0,2,1,0,0,1,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,2,1,2,0,1,1,0,1,2,0,0,0,0,0,0,0,0,0,1,0,2,0,2,0,0,0,1,2,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,2,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,2,0,0,0,1,1,1,0,0,0,1,0,0,0,2,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,1,1,0,1,1,1,0,0,1,1,0,2,1,0,0,0,0,0,1,1,0,2,1,1,0,1,0,1,0,2,1,0,1,0,0,0,2,0,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,1,1,0,2,2,0,1,1,0,0,0,0,1,0,2,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,2,0,0,0,0,1,1,1,0,0,1,0,0,1,0,2,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,2,1,0,0,0,0,1,1,0,0,0,1,0,2,1,1,0,1,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,1,1,2,0,0,1,0,0,2,0,0,1,0,1,0,2,0,0,0,0,1,0,1,0,2,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,2,2,2,2,1,1,0,0,0,0,0,0,2,1,2,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,1,2,0,1,1,1,1,1,0,1,2,0,1,0,1,0,0,0,0,0,1,0,1,0,0,2,2,0,1,1,0,1,0,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0,0,2,1,1,0,1,0,0,0,1,0,1,0,1,0,2,1,1,2,2,1,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,1,1,1,1,1,0,1,1,0,0,1,0,2,1,0,0,1,0,0,1,1,1,1,2,0,1,1,2,1,2,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,1,0,0,1,1,0,0,1,0,2,0,2,1,0,0,0,0,1,2,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,2,1,0,0,1,0,0,1,1,0,0,0,1,1,1,0,1,0,1,2,2,1,0,0,1,0,0,0,1,1,1,0,2,0,1,0,0,1,1,0,0,1,0,1,0,0,0,2,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,2,0,2,0,1,0,0,0,0,2,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,1,0,1,2,1,1,0,1,0,1,0,1,0,2,1,1,0,0,1,2,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,0,1,2,0,0,1,0,1,0,1,0,1,0,1,1,0,2,1,0,1,1,0,0,0,1,0,2,0,0,0,1,2,0,0,1,2,0,0,1,1,1,0,2,0,1,0,1,0,0,0,0,0,0,2,0,1,1,0,1,1,0,1,0,0,0,0,1,1,2,2,0,0,1,2,1,0,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,2,1,2,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,2,0,0,1,0,1,2,2,1,0,0,2,0,1,0,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1 1,0,1,2,1,0,0,0,1,0,1,1,1,2,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,1,2,0,1,1,0,0,1,0,0,1,2,2,0,2,1,1,0,0,0,2,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0,1,0,2,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,2,0,0,1,0,2,1,2,0,0,0,1,0,0,1,1,1,2,0,1,1,2,1,1,1,0,0,1,1,0,1,0,2,1,0,1,1,0,2,0,1,1,1,0,0,2,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,2,1,0,2,0,0,2,1,0,0,0,0,0,1,0,1,0,0,2,0,1,0,0,1,1,1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,2,1,0,1,0,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,2,0,1,1,1,1,0,0,1,0,1,2,0,1,1,0,0,1,2,0,1,1,0,1,0,0,2,0,0,1,1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,2,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,1,0,0,0,1,0,2,0,2,0,0,0,0,1,0,1,0,0,1,1,1,0,1,0,1,0,1,0,1,2,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,1,1,2,0,0,1,0,2,1,0,0,0,1,0,1,1,2,0,1,0,1,0,1,0,0,1,0,2,1,1,0,0,2,1,1,0,2,0,1,1,0,0,1,0,2,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,2,1,0,0,0,1,1,0,0,1,0,0,2,2,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,2,1,2,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,1,1,0,0,0,0,2,0,0,0,0,0,1,0,1,0,2,0,1,1,1,0,0,0,2,2,1,0,0,2,1,1,1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,1,2,1,0,1,0,0,0,2,1,1,0,0,1,1,2,1,0,0,0,0,1,0,2,0,1,0,1,1,1,2,0,2,0,2,1,1,0,1,0,0,1,2,1,1,1,0,2,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,2,1,1,0,0,2,1,0,0,0,0,1,1,0,0,1,0,0,2,0,0,0,1,0,0,0,0,1,1,1,0,2,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0,2,0,1,0,1,1,0,0,1,2,2,0,0,2,0,0,0,0,0,1,0,1,1,1,2,2,1,1,0,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,2,1,2,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,2,2,1,0,0,1,0,0,1,0,0,2,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,1,0,2,1,1,1,0,1,2,0,0,1,1,1,0,1,0,0,1,2,0,1,1,2,0,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0,2,0,0,2,0,0,0,1,0,2,2,2,1,1,0,0,0,1,0,2,1,0,1,0,0,0,1,0,1,1,1,0,1 0,0,0,0,1,0,2,2,1,1,1,0,0,1,0,2,0,0,0,0,0,0,0,0,2,1,1,2,0,1,1,0,0,2,0,0,2,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,2,0,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,2,0,1,0,0,1,0,1,1,0,1,0,1,1,1,0,1,1,0,0,0,1,2,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,2,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,2,0,0,1,1,0,0,1,0,0,2,0,1,0,2,0,1,0,1,2,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,1,1,1,0,1,2,0,0,0,0,0,1,1,2,0,0,1,0,0,2,0,0,1,0,2,2,0,0,0,2,0,0,1,1,0,0,0,0,0,2,0,1,1,0,0,0,0,2,1,1,0,0,0,0,1,0,0,2,2,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,2,1,0,1,1,0,0,2,0,0,1,0,0,2,0,2,2,1,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,2,2,0,1,1,2,1,0,1,0,1,0,0,2,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,2,1,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,2,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,2,0,2,2,1,0,0,0,0,2,0,0,1,0,1,0,0,0,1,1,2,2,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,2,0,2,0,0,1,0,1,0,0,0,1,0,2,1,0,1,2,2,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,1,2,1,0,1,0,1,0,0,2,1,2,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,2,1,0,0,1,1,1,2,0,0,2,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,1,0,2,1,1,2,1,1,0,1,0,0,2,1,2,1,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,2,0,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,2,0,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,2,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,1,1,1,0,1,2,0,0,1,0,1,2,0,0,0,1,2,0,1,1,0,0,0,0,1,0,1,0,2,0,0,0,0,1,0,2,1,1,0,0,0,0,1,0,0,2,2,0,0,0,0,0,0,2,0,1,2,0,0,0,1,0,0,0,1,2,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,1,2,2,0,0,1,0,1,2,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0,2,0,0,1,0,1,0,0,0,1,0,0,0,1,1,2,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,1,0,1,1 2,0,1,0,2,0,0,1,1,2,1,1,0,2,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0,2,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,1,2,0,1,0,0,0,0,0,1,2,0,0,1,1,2,2,0,1,0,1,0,1,0,0,1,0,0,1,1,0,2,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,2,0,2,1,1,1,0,1,1,1,1,0,1,1,2,1,2,1,0,0,0,0,1,2,0,0,1,1,2,0,0,0,0,1,0,1,1,2,0,2,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,2,0,0,2,0,0,0,0,1,0,0,2,0,1,0,1,1,2,0,0,0,0,1,1,1,0,1,0,2,0,1,0,0,0,1,0,0,0,2,2,0,0,1,0,1,2,0,0,1,0,1,0,0,0,1,0,0,1,1,2,1,0,1,0,0,1,0,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,1,1,0,0,1,2,0,0,2,0,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,2,0,0,1,0,1,0,2,0,0,2,1,1,1,0,0,0,2,0,2,0,1,1,1,1,2,1,0,0,0,0,0,1,1,1,2,1,1,0,0,0,0,0,0,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,2,0,1,0,1,2,0,0,0,1,0,0,1,0,0,0,0,2,0,0,0,2,1,0,1,1,0,0,0,0,1,1,0,1,0,2,1,0,1,1,2,1,1,2,0,0,2,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,2,1,2,1,0,1,0,2,1,2,1,1,2,1,0,1,1,0,1,0,1,1,0,0,1,0,1,2,0,0,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,2,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0,2,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0,2,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0,2,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,2,1,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0,2,1,0,0,1,0,0,1,1,2,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,2,2,0,1,0,0,1,1,1,0,1,0,0,0,1,2,1,0,1,1,0,0,0,0,1,0,2,0,0,1,0,2,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,2,1,0,1,0,0,0,2,0,1,2,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,2,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,2,0,0,0,2,0,2,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,2,1,1,1,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,2,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,1,1,0,1,0,0,0,2,1,1,0,0,2,2,0,0,0,2,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,2,0,1,0,0,2,0,0,0,0,1,1,1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0,2,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1 0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,2,0,1,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0,1,0,0,2,1,0,2,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,2,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,2,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0,2,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,2,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,2,0,2,0,1,0,2,0,2,0,0,0,1,2,0,0,0,1,0,0,1,1,0,0,1,2,1,0,0,1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0,2,0,1,0,0,1,0,0,1,1,1,1,0,0,0,2,0,1,0,0,0,1,0,1,2,0,0,1,0,0,0,1,0,2,1,0,0,0,0,0,2,1,0,2,1,1,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,1,0,2,1,0,2,1,2,1,0,2,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,2,1,0,0,1,1,1,2,2,0,1,1,1,0,1,0,0,0,1,0,0,1,1,1,1,1,0,1,0,0,1,2,0,0,1,0,1,1,0,0,0,1,2,0,0,1,0,2,0,0,0,1,0,1,0,1,1,0,0,1,0,2,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,2,0,1,0,0,1,0,1,2,0,0,1,2,0,0,1,1,1,1,0,2,1,0,0,0,0,0,0,1,2,0,0,0,0,1,0,1,0,2,2,1,0,0,1,0,1,0,1,0,1,1,2,1,0,0,0,0,0,1,2,2,1,1,0,0,0,1,0,0,2,1,0,0,0,2,0,1,0,2,1,1,0,0,0,1,0,0,0,1,1,0,0,1,1,1,1,1,2,2,0,1,2,2,0,1,2,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,2,1,1,0,2,1,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,2,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,0,1,2,0,0,0,1,1,2,1,0,0,0,0,2,0,1,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,2,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,1,1,2,1,0,2,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,2,0,2,0,2,1,0,1,1,0,0,1,1,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0,2,0,2,1,1,0,0,0,1,0,0,0,0,1,2,0,1,2,1,1,2,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,2,1,1,1,0,0,1,0,0,1,0,1,0,2,2,0,2,1,0,1,0,0,2,0,0,0,0,0,1,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,1,2,1,1,0,0,0,0,0,2,1,0,1,1,0,0,2,1,2,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,2,1,0,1 0,0,1,2,1,1,0,0,0,0,2,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,2,1,0,0,2,1,0,0,0,1,0,2,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,2,0,1,2,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,2,1,1,2,0,0,0,1,1,1,1,1,2,1,0,0,0,2,0,1,0,1,0,0,0,0,1,1,1,2,0,1,1,1,0,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,1,1,1,2,0,2,1,0,0,0,2,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,2,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,2,0,0,1,0,1,0,0,0,0,0,1,1,1,0,1,0,2,1,2,0,2,2,1,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,2,1,1,0,0,1,0,0,1,0,1,1,0,1,0,1,2,0,2,0,0,0,1,1,2,0,0,0,2,0,1,1,0,0,0,1,1,1,0,1,1,1,1,0,0,2,0,0,1,1,2,0,0,0,1,0,0,0,1,0,1,1,1,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,2,0,0,1,0,1,0,1,2,0,0,1,1,1,1,0,0,0,0,0,1,0,2,1,0,2,0,1,1,0,2,0,0,0,0,2,0,2,1,0,1,0,2,1,1,0,0,1,0,1,1,1,2,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,1,0,1,2,1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0,0,2,0,0,0,0,1,1,1,1,0,1,0,0,0,2,0,1,0,1,1,0,0,1,0,0,1,0,0,0,1,2,2,0,0,0,1,1,1,0,1,0,2,1,0,1,0,1,1,2,2,2,1,0,1,0,0,1,0,1,0,1,1,0,2,0,0,1,1,1,0,0,0,0,0,0,0,2,1,1,0,1,0,1,0,1,0,0,2,1,0,0,0,0,0,2,2,1,0,1,1,0,0,0,0,0,1,0,0,0,2,1,2,0,0,2,0,1,1,1,0,1,1,0,0,0,0,2,2,0,1,1,2,1,1,0,2,0,0,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0,2,0,0,2,1,1,0,1,1,0,0,2,0,1,0,0,0,2,1,0,1,0,1,0,1,2,1,2,0,0,0,0,0,0,0,2,1,0,2,1,1,0,0,2,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,2,1,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,1,2,2,0,1,2,0,0,0,0,0,0,1,0,2,0,0,1,0,1,0,0,2,0,0,0,0,0,1,0,2,0,0,1,0,1,2,0,2,0,0,0,0,1,1,0,1,1,0,1,1,1,1,0,1,2,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,2,0,0,1,0,0,1,0,0,1,1,2,0,1,1,0,0,0,1,1,0,1,0,0,2,0,2,0,0,1,0,0,1,0,0,1,2,2,1,0,0,0,1,1,0,0,1,0,0,2,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,1,2,2,2,0,0,1,0,0,2,0,1,1,0,2,0,0,0,2,1,0,0,0,2,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1 1,0,0,1,2,0,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,2,0,0,0,2,0,1,1,2,0,0,2,0,2,0,0,0,0,1,0,1,0,0,0,1,0,2,0,2,0,0,0,1,1,0,0,0,2,1,1,2,0,0,1,1,0,0,1,0,0,0,0,0,0,2,1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0,1,0,1,2,2,0,1,2,0,0,1,1,0,0,0,0,1,0,0,2,2,0,1,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,1,2,1,0,0,1,0,0,2,1,0,1,0,0,0,1,0,0,1,1,2,0,0,2,0,0,1,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,2,0,1,0,2,0,1,0,1,0,0,2,0,0,0,2,0,2,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,2,1,0,0,0,0,1,1,1,0,2,0,0,0,0,0,2,0,0,2,2,1,0,1,0,1,2,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,2,0,0,1,0,0,0,1,2,2,1,0,0,1,0,0,0,0,1,1,1,0,1,0,1,1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,1,2,1,0,2,2,0,1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,2,0,1,0,1,2,0,1,1,2,1,0,0,0,0,1,1,1,1,0,2,0,1,1,0,0,0,1,0,1,0,2,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,2,0,2,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,2,2,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,2,1,0,2,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,1,2,1,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,1,1,0,1,2,1,0,2,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,2,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,1,1,1,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,1,2,0,0,0,1,1,1,0,0,1,0,0,0,1,1,2,0,1,0,0,0,0,1,1,0,0,1,0,2,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,2,1,0,0,0,0,1,2,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,2,0,0,1,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,2,0,1,2,0,1,1,1,0,0,0,2,2,1,0,0,1,0,0,0,2,0,2,2,0,0,1,0,0,0,0,0,0,1,2,1,0,2,0,0,0,1,0,0,0,1,1,1,2,2,0,2,0,0,0,2,1,0,0,2,2,1,0,1,2,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,2,0,1,0,2,0,0,0,0,1,0,0,0,1,1,1,0,2,2,1,0,0,0,1,0,0,2,0,2,1,0,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,1,0,0,1,0,1,1,0,0,1,2,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,1,2,1,0,0,1,1,1,1,1,0,2,2,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,1 2,0,0,0,0,0,2,0,0,2,1,0,0,1,2,0,0,2,0,0,0,0,0,0,0,0,1,1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,2,1,1,1,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,2,0,0,0,0,1,2,1,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,0,1,0,2,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,2,0,1,0,0,0,0,0,2,0,2,0,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,2,0,0,1,0,1,2,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,2,0,0,2,2,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,1,2,0,2,0,0,0,2,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,1,2,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,2,0,0,0,0,1,0,1,0,0,0,2,0,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,2,0,0,1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,2,1,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,2,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,1,0,0,1,1,1,1,0,1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,2,0,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,1,0,2,0,1,0,0,0,1,0,1,0,0,2,1,1,1,0,0,1,1,1,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,1,0,2,0,0,1,0,0,1,1,1,0,1,0,1,0,2,2,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,1,0,2,1,0,0,0,0,1,1,0,0,2,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0,2,2,0,1,0,0,0,0,1,1,0,0,1,1,0,0,0,1,1,0,1,2,0,1,1,1,1,2,2,1,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,2,0,0,2,1,1,0,0,1,1,0,2,0,1,1,2,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,2,1,1,0,1,0,0,1,2,0,1,0,0,0,0,0,2,2,1,0,0,0,0,0,0,0,0,2,0,2,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,2,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,1,0,1,1,2,0,1,0,0,0,1,0,1,1,0,1,1,0,2,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,2,1,0,1,1,0,0,2,0,1,0,1,0,0,0,0,2,1,1,1,0,1,1,0,1,2,0,0,1,1,1,2,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,1,2,0,1,1,2,0,1,0,1,0,1,0,0,1,0,0,2,1,0,0,0,0,1,0,1,0,1,1,0,2,0,1,1,0,0,0,1,1,0,0,1,0,2,1,0,0,0,1,0,0,0,0,0,0,0,1,2,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,1,1,1,1,0,1,2,0,0,1,0,1,0,0,1,0,1,1,0,0,0,1,2,0,0,1,0,1,0,1,2,0,2,0,1,1,0,0,1,0,0,1,0,0,1,1,1,0,1,1,2,2,0,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1 0,0,2,0,0,0,1,1,0,0,2,1,1,2,1,1,0,1,1,0,0,0,1,0,1,0,2,0,0,0,1,0,1,0,1,0,1,1,0,1,1,2,0,1,0,1,0,1,0,2,1,1,0,1,0,1,1,0,1,0,0,0,0,1,1,1,0,2,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,2,0,1,1,0,2,0,0,0,0,1,1,0,0,0,2,0,1,1,0,2,0,0,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,2,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,2,0,1,0,1,0,0,2,1,2,1,1,0,0,1,1,1,2,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,1,2,1,1,0,0,1,0,1,0,0,0,2,0,0,0,1,0,1,1,0,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,2,1,1,1,1,0,1,0,1,1,0,2,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,2,0,0,0,0,1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,1,1,0,2,0,0,0,0,1,0,0,1,1,0,0,1,1,1,0,1,2,1,2,1,0,0,0,0,0,0,0,2,1,0,0,0,0,2,0,1,0,0,0,1,0,1,0,0,0,0,0,2,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,2,0,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,1,1,2,1,1,2,1,1,1,1,2,1,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,1,1,0,1,2,0,1,0,1,1,0,2,1,1,0,0,0,0,0,0,2,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,2,1,1,2,1,0,1,0,1,1,1,0,0,2,1,0,2,2,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,1,2,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,2,0,0,0,1,0,2,2,0,0,0,1,0,1,0,0,2,0,0,0,0,1,1,0,2,0,0,0,1,0,1,0,1,1,2,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,1,2,1,0,1,0,1,0,1,2,1,1,0,0,0,2,0,1,0,1,0,0,0,2,0,0,0,1,0,0,0,1,0,1,1,1,2,0,2,0,0,0,2,0,0,0,2,0,1,0,1,0,2,0,0,0,0,1,1,0,1,0,1,0,1,0,2,0,0,2,1,1,0,0,0,0,2,1,1,1,0,1,1,0,0,0,1,1,1,2,1,0,0,0,1,0,1,0,0,2,0,0,0,0,1,0,0,0,2,1,0,0,1,1,0,2,2,1,2,1,0,0,0,0,2,2,0,0,0,0,2,0,0,1,0,0,2,0,0,1,1,1,1,2,0,0,0,0,1,0,1,2,0,0,0,0,1,0,1,1,1,2,0,0,0,0,0,0,0,0,0,0,2,1,0,2,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0,2,1,1,0,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0,2,1,0,0,0,2,0,0,0,0,1,2,1,0,0,1,0,0,0,0,2,1,0,1,2,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,1,1,0,2,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,1 0,0,2,1,1,1,1,0,1,0,2,0,0,1,2,0,0,1,1,0,0,0,0,1,1,0,0,2,1,1,0,0,1,0,0,0,0,0,0,0,1,2,0,1,1,1,0,0,0,0,2,1,0,0,0,2,1,1,1,0,0,0,0,1,0,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0,2,2,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,0,0,2,1,0,0,1,0,1,0,1,2,2,0,1,2,0,0,0,0,0,1,0,1,0,1,2,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,1,0,2,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,2,1,0,1,0,1,2,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,2,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1,2,0,1,0,2,0,0,2,0,0,0,0,2,2,0,2,1,0,0,2,0,1,0,0,0,0,0,2,1,0,0,0,0,0,1,1,0,1,0,0,1,2,0,0,2,0,0,2,0,1,1,0,2,0,2,0,0,2,0,0,0,0,1,0,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,1,2,0,1,0,0,0,0,0,0,0,0,2,2,2,0,2,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,1,1,2,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,2,1,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,2,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,2,0,1,0,0,1,1,1,0,1,0,2,0,2,0,0,1,1,0,1,0,0,0,2,0,0,0,0,0,2,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,1,2,1,0,1,1,0,0,1,0,1,1,0,0,0,0,2,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,2,0,1,0,1,1,1,0,0,1,1,0,2,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,2,1,2,0,1,1,1,1,2,1,1,0,0,0,0,0,2,0,1,0,1,1,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,1,0,1,1,2,1,1,0,0,1,1,1,1,2,0,2,1,0,0,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,2,0,0,0,2,1,1,0,1,0,0,0,0,1,1,1,2,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,2,1,1,0,1,1,1,0,0,0,2,1,0,1,1,2,0,0,1,0,0,0,1,0,0,0,1,0,2,2,0,0,1,1,1,0,0,0,1,1,0,2,0,1,0,0,0,0,0,0,0,1,0,1,1,0,2,1,2,0,1,2,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,1,0,1,1,0,0,1,0,0,0,1,2,0,0,1,0,0,1,0,1,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,2,1,2,1,0,0,0,1,0,2,0,2,2,1 0,0,0,0,0,0,0,1,0,0,2,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,2,2,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,1,1,0,0,0,2,1,1,1,0,1,2,0,0,1,0,0,2,0,0,1,0,0,0,1,1,0,1,1,1,0,1,0,1,0,2,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,2,0,2,1,0,0,2,0,0,1,0,0,0,0,0,0,1,0,1,0,2,1,2,1,1,2,0,2,0,1,1,0,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0,1,1,1,2,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,2,1,1,1,1,1,0,1,2,0,1,0,1,1,0,1,1,2,1,0,0,0,0,1,0,0,1,1,0,0,2,1,1,0,1,1,1,0,0,2,1,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,1,0,0,1,0,0,2,1,0,1,0,1,1,2,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,1,0,1,0,0,1,0,1,2,0,1,1,2,0,0,1,2,0,1,0,2,2,1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,2,0,0,0,0,0,1,0,0,1,1,0,1,1,1,1,2,0,1,2,0,1,0,0,1,0,0,0,1,0,0,1,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,2,0,0,1,0,0,2,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,2,0,1,0,1,0,1,0,0,0,0,2,0,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,2,0,0,1,0,1,1,0,0,1,1,0,1,2,0,0,0,0,1,1,0,0,2,1,2,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,1,2,1,1,1,0,1,0,0,0,2,0,1,0,1,1,0,0,0,2,1,0,0,0,1,0,1,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,2,2,0,0,2,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0,2,0,0,1,1,1,0,1,0,1,0,0,2,1,0,2,0,0,0,1,2,2,0,0,1,0,0,1,0,0,1,2,0,0,0,0,1,0,2,1,0,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,2,1,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0,2,1,0,2,0,0,1,0,1,2,0,0,0,1,2,0,2,1,0,0,0,1,1,0,0,1,1,0,0,1,0,1,1,2,1,1,0,2,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,2,1,1,0,1,1,0,0,1,2,2,1,1,0,0,1,2,0,1,0,0,0,2,2,0,0,0,1,0,2,0,0,0,1,1,0,0,0,0,1,1,0,1,1,2,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,2,0,0,0,0,1,1,1,1,0,2,0,0,1,0,0,2,0,0,1,1,0,1,1,1,0,0,0,1,0,0,0,0,1,2,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,2,0,0,1,0,0,0,1,0,1,0,1,1,1,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,1,0,1,1 1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,2,0,0,1,1,1,2,1,2,1,0,0,1,0,1,1,0,1,1,1,1,2,1,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,1,0,1,1,2,1,0,0,0,1,0,0,0,0,0,1,2,1,2,0,0,2,0,2,0,0,0,2,0,0,1,0,2,1,0,0,0,2,0,2,0,0,1,0,0,1,0,1,1,0,0,1,1,1,2,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,2,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,2,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,2,1,0,1,1,1,2,0,1,2,1,0,1,2,0,0,1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,1,0,1,1,0,1,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,2,1,0,0,0,1,0,0,1,1,0,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,1,1,2,1,0,0,0,1,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,1,1,0,1,1,1,2,0,1,0,0,0,1,1,1,0,0,1,0,2,0,2,0,1,0,1,1,1,2,0,1,1,0,0,1,0,2,1,1,0,0,0,0,1,0,0,0,1,0,1,0,1,2,1,0,0,0,0,0,2,0,0,0,2,2,0,1,0,2,0,1,0,2,0,1,0,0,0,0,1,0,2,0,2,0,1,0,0,1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,0,2,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0,2,0,1,0,1,1,0,1,0,1,0,1,1,0,2,0,1,0,0,1,0,0,2,0,1,1,2,0,0,0,0,0,0,2,1,2,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,1,0,0,2,0,0,0,1,1,1,0,0,0,1,1,0,2,1,1,1,1,0,1,0,1,0,2,0,0,2,0,1,0,1,2,1,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,1,2,1,0,1,0,0,1,0,1,0,0,2,1,0,1,1,0,2,1,1,1,0,0,0,0,1,2,2,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0,2,0,0,2,1,0,0,0,0,2,0,1,0,1,0,0,0,1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,2,0,1,1,0,2,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,1,1,2,0,0,1,2,1,2,1,0,1,0,0,0,0,2,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,1,1,2,1,1,0,1,0,0,1,1,0,0,0,1,0,1,2,0,0,0,1,0,1,2,0,1,1,0,0,0,0,0,1,0,2,0,0,0,1,1,1,0,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,1,0,0,2,1,0,1,0,0,1,2,1,0,2,0,2,1,1,0,0,1,0,2,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,2,0,0,0,2,0,0,0,1,2,1,2,0,0,1,2,0,1,0,0,1,2,0,1,0,1,0,1,0,0,1,0,1,2,0,1,1 0,0,1,2,1,1,0,1,0,2,1,1,0,1,1,0,0,1,0,0,0,0,0,0,2,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,1,1,0,1,1,0,1,2,1,0,1,0,0,0,0,0,1,0,0,1,0,0,2,0,1,0,0,0,0,1,1,0,1,0,1,1,1,2,0,0,0,2,2,2,2,0,0,0,1,0,0,0,2,1,2,1,2,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,1,0,1,0,0,0,0,2,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,2,0,0,1,0,0,0,0,2,0,2,0,1,1,0,0,0,0,0,0,2,0,0,0,1,0,2,0,0,1,0,1,2,0,1,0,0,0,0,2,1,0,2,0,1,1,1,1,0,0,0,0,0,1,1,2,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,1,0,0,1,2,0,0,0,1,1,1,1,2,0,1,0,1,0,0,1,1,1,0,0,1,2,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,1,1,1,0,0,0,2,1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,2,0,1,2,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,1,1,0,2,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,1,1,1,0,2,0,2,0,0,1,0,0,0,0,0,0,0,0,0,2,1,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,2,0,0,1,2,1,0,2,0,0,1,0,0,2,0,2,2,0,0,1,0,2,0,1,0,1,1,0,0,2,1,0,1,0,0,0,2,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0,1,2,0,0,1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,2,2,0,1,1,1,1,2,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,2,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,1,2,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,1,2,0,0,2,0,0,0,0,1,0,1,2,1,0,2,0,0,1,1,0,0,2,1,0,1,0,0,1,0,0,0,0,1,2,0,0,0,0,1,0,1,1,1,2,0,0,0,1,1,0,2,0,0,1,0,1,0,1,0,0,0,1,2,2,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,0,1,2,0,0,1,0,1,1,0,1,0,0,1,0,1,2,0,1,1,0,1,1,0,1,1,0,0,0,2,0,1,0,2,0,0,0,1,0,0,2,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,2,0,0,1,1,0,0,0,1,1,1,2,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,2,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,1,0,2,1,0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,2,1,0,0,0,1,0,1,1,1,2,2,0,0,1,0,0,1,1,1,0,2,0,0,1,0,1,1,1,0,0,2,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,2,0,0,0,1,0,0,0,0,0,0,0,1,2,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,2,0,0,1,0,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,0,1,1 0,0,1,1,0,1,0,0,1,0,1,1,0,2,0,2,0,1,0,0,0,1,1,0,1,0,1,2,0,2,2,0,1,0,2,0,0,2,1,0,2,1,0,0,0,0,0,1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,2,1,1,1,1,2,0,0,0,1,0,1,0,0,1,0,0,1,1,1,1,1,0,0,1,2,2,1,0,1,0,1,1,1,0,2,0,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,2,1,1,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,2,0,2,0,2,1,0,1,1,1,0,0,1,0,1,0,0,2,0,0,0,0,0,1,1,1,0,0,2,0,0,0,0,0,0,1,2,0,1,1,0,0,0,2,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,2,2,1,0,2,1,1,0,0,1,0,0,0,1,1,1,1,0,0,2,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,1,0,1,1,0,0,2,0,0,0,2,0,0,1,0,1,1,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,1,0,0,2,0,1,1,1,1,0,0,0,1,2,0,1,0,0,0,0,0,0,0,2,1,1,0,1,1,0,0,1,2,0,0,0,1,0,1,1,1,0,1,1,1,1,1,1,1,0,1,0,0,1,1,0,2,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,2,0,1,0,0,1,0,1,1,1,0,2,0,2,0,0,0,0,0,2,0,0,0,0,1,0,0,2,0,0,2,0,2,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,2,0,1,1,1,0,0,1,0,1,0,0,1,0,2,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,2,1,0,2,1,0,0,1,1,0,2,0,0,2,1,0,0,0,0,0,0,1,1,2,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,0,2,0,0,2,1,0,1,0,0,0,1,2,0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,1,2,0,1,1,0,0,0,0,1,1,1,1,0,0,2,0,1,1,1,1,1,0,0,2,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0,0,1,2,0,0,0,0,0,1,0,0,1,0,0,2,1,0,0,1,1,0,0,0,0,2,1,1,0,0,1,0,1,0,0,1,1,1,2,1,0,1,1,2,2,1,0,1,1,1,2,0,0,1,0,0,0,1,0,0,0,0,2,0,1,1,0,0,0,0,0,1,0,2,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,2,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,2,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,1,0,0,0,1,0,1,0,0,2,1,0,1,1,1,1,1,1,0,0,0,1,2,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,2,1,0,2,0,1,0,2,1,1,1,0,0,0,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,2,0,1,1,0,0,0,0,0,0,1,0,1,2,1,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,1,2,0,1,0,1,0,1,0,1,0,0,1,0,0,1,1,0,1,0,2,1,2,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,1,0,1,2,0,0,1 1,0,0,1,0,2,0,0,0,1,2,2,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,1,0,0,2,1,2,0,0,0,1,0,0,0,1,2,1,1,0,0,0,1,1,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,2,0,0,1,1,2,0,0,1,2,2,0,0,0,0,1,0,0,0,2,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,1,2,1,1,0,1,0,1,0,1,0,0,0,1,2,0,0,0,0,1,0,0,0,0,1,1,2,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,2,0,0,2,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,2,1,0,0,0,0,0,0,2,1,0,1,1,0,0,0,1,0,1,2,1,1,0,1,0,0,1,1,0,1,0,2,2,0,0,1,0,0,0,0,0,2,1,0,0,1,2,0,1,1,1,1,2,1,1,0,1,1,0,2,1,0,0,1,0,1,0,0,0,0,1,2,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,1,2,2,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,2,1,0,1,0,0,2,0,0,0,1,0,1,1,1,0,0,2,0,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,1,1,0,1,0,2,1,1,0,0,2,1,1,0,0,1,2,1,1,1,0,1,0,1,1,2,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,2,1,0,2,1,0,1,0,0,0,0,2,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,1,2,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,2,2,1,0,1,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,2,1,1,2,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0,2,0,1,0,1,1,0,2,0,0,1,1,0,1,2,0,1,1,0,0,2,0,1,0,0,1,0,0,0,2,0,0,1,0,0,2,1,0,0,1,2,1,1,0,2,0,1,0,0,1,0,1,1,1,2,1,1,1,1,0,1,0,1,0,1,1,0,0,2,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,2,0,0,2,0,1,0,2,2,0,1,1,0,1,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,2,1,2,0,1,1,1,1,0,1,1,0,0,0,2,0,0,0,0,2,1,1,0,0,1,1,0,1,2,1,1,0,1,0,0,0,0,1,0,2,0,1,0,1,0,0,2,2,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,1,0,1,1,2,2,0,1,0,0,0,2,0,1,1,0,0,0,0,1,0,0,1,2,0,0,1,1,1,0,1,0,0,1,0,1,2,2,0,0,0,2,0,1,1,0,2,0,0,0,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0,2,1,0,2,2,1,0,1,1,1,1,0,0,1,0,0,0,1,0,2,1,0,1,1,0,0,1,2,1,0,0,0,1,0,2,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0,2,0,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0,1,1,1,2,0,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,1,2,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,1,0,0,0,0,1,0,0,0,1,0,0,1,2,2,1,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,2,0,0,1,1 0,0,0,2,0,1,1,0,1,0,1,0,0,0,1,1,0,0,2,0,0,0,1,0,1,1,1,1,0,0,1,0,2,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,1,0,2,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,2,0,2,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,1,1,2,1,0,1,0,0,0,0,0,0,2,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,2,0,1,0,0,0,0,1,1,0,1,1,1,1,1,0,1,0,1,1,0,2,1,0,1,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,1,1,2,0,0,0,1,0,2,0,0,0,0,1,2,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,2,1,2,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,1,1,1,0,2,1,1,1,0,0,1,2,0,0,2,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,1,1,2,0,2,0,1,0,2,0,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,2,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,2,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,2,0,0,1,0,1,2,0,0,0,0,0,1,0,0,0,2,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,2,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,1,1,0,1,0,0,2,0,0,1,0,0,1,1,1,2,1,2,1,0,1,0,0,0,0,2,1,1,0,0,1,1,0,0,0,2,1,0,1,2,1,1,0,2,0,1,1,1,0,2,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,2,1,0,0,2,1,1,0,0,1,1,0,0,0,0,2,0,0,0,0,0,1,1,0,2,1,0,0,1,0,0,0,1,0,1,0,0,0,1,0,1,1,1,2,2,0,0,1,1,0,1,2,0,1,2,1,0,0,0,1,0,1,0,0,0,1,0,1,0,2,2,1,0,2,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,1,1,1,1,0,1,2,0,2,1,2,0,1,1,1,1,1,0,0,0,0,1,1,2,0,1,0,2,1,0,2,1,1,0,2,1,0,0,0,0,2,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,2,0,0,1,0,0,0,1,1,0,0,0,0,2,1,0,0,1,1,1,1,1,1,0,0,1,1,1,0,1,0,0,0,1,2,0,0,0,1,0,1,0,0,0,0,2,1,0,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,2,1,0,1,1,0,0,2,1,0,1,0,0,0,2,1,2,0,0,0,1,1,1,1,1,1,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1,2,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,2,0,0,0,1,0,1,0,1,1,1,0,0,0,2,1,0,1,0,1,1,0,1,1,0,1,1,0,0,1 1,0,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0,1,2,0,0,0,1,1,0,0,1,0,1,1,0,0,2,1,0,0,0,1,0,0,1,0,0,2,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,2,0,0,1,0,1,0,2,1,0,1,1,2,2,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,1,0,0,0,1,1,1,1,1,0,0,0,0,1,2,1,0,0,1,2,0,0,1,2,0,1,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,2,0,0,1,0,1,0,0,0,1,1,0,0,0,2,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,2,1,0,1,0,2,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,1,2,2,0,1,1,0,1,0,2,0,0,0,2,0,1,1,0,0,0,0,1,0,0,2,0,1,1,0,0,2,1,0,0,0,2,0,1,0,1,1,0,0,0,0,2,1,2,1,0,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,2,0,1,1,2,0,0,2,0,1,1,1,2,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,1,2,2,2,2,1,0,1,1,0,2,0,1,0,1,1,0,0,1,0,2,0,0,1,0,0,0,1,2,1,1,0,0,0,1,0,2,2,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,2,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,2,1,0,0,0,0,0,0,1,0,2,1,0,0,1,2,2,0,1,1,0,0,2,0,0,2,1,1,0,0,0,0,2,0,1,1,0,1,0,0,0,0,1,0,0,2,2,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0,2,0,1,1,0,0,0,2,0,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,2,1,0,0,2,1,1,0,0,0,0,0,1,1,1,0,2,1,0,1,2,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,1,0,2,2,0,1,1,0,0,1,1,0,0,1,0,0,0,0,2,1,0,0,2,1,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,2,0,1,0,1,1,0,1,0,0,2,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0,2,0,0,1,1,0,0,2,0,0,0,0,0,1,0,0,2,0,1,0,1,0,0,0,0,2,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,1,0,0,1,1,0,2,1,2,1,0,1,0,0,0,1,1,1,1,0,0,1,1,1,2,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,1,0,1,1,0,1,0,1,0,2,0,0,0,0,2,2,1,1,1,2,1,0,2,1,0,0,1,1,1,2,1,1,0,0,1,2,1,1,0,0,1,2,0,0,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,2,1,0,1,1,1,1,1,1,1,0,0,1,1,0,0,1,1,2,1,0,0,2,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,1,1,1,1,0,0,1,1,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,2,1,1,0,0,1,0,1,2,0,1,0,1,1,2,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,1,0,1,1,2,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,2,1,0,1 0,0,1,1,0,0,1,1,1,2,1,0,0,2,0,0,1,2,0,0,0,0,2,0,1,0,1,1,0,1,0,0,1,0,0,0,0,0,2,0,0,1,0,2,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,2,0,0,1,1,0,2,0,0,1,0,2,0,2,0,0,0,1,1,0,0,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,1,0,1,1,2,0,0,0,2,1,1,0,1,1,0,1,1,0,0,0,2,1,0,1,1,0,0,0,0,2,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,2,1,0,0,0,0,2,0,0,0,2,1,0,1,0,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,2,0,1,2,0,0,0,0,0,0,0,1,1,1,2,1,1,2,2,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,2,0,2,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,1,0,1,0,1,0,0,0,1,2,2,1,1,0,2,1,1,0,1,0,1,2,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,2,0,2,0,0,0,1,2,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,2,1,1,1,1,1,0,0,1,0,0,2,0,1,0,1,0,2,0,0,0,0,0,0,0,1,0,1,0,2,1,1,1,0,0,1,0,0,2,0,0,0,1,0,0,0,1,1,2,1,2,0,0,0,0,0,0,2,1,2,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,1,2,0,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0,2,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0,2,0,1,0,1,0,1,0,1,1,0,0,1,0,2,0,1,1,0,2,0,1,1,1,0,1,1,1,1,0,0,0,0,0,2,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,1,1,2,1,0,2,1,0,0,1,2,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,2,0,0,1,0,2,0,1,2,1,0,2,0,0,2,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,1,0,0,0,2,0,0,0,2,0,1,0,1,0,2,0,0,2,0,1,1,2,0,1,0,1,0,1,0,1,1,1,0,1,0,0,2,0,0,0,0,0,0,1,0,0,2,0,0,0,2,0,0,1,0,2,0,1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,2,0,1,0,0,1,0,2,2,2,1,1,0,1,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0,0,1,0,1,1,1,1,1,2,0,1,1,1,0,1,1,1,0,2,0,2,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0,2,1,1,0,1,0,0,2,0,1,1,0,0,0,0,0,0,1,1,1,2,0,0,1,0,0,0,1,0,0,0,1,0,0,0,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,1,0,0,0,1,0,0,0,1,0,0,2,1,0,1,0,0,0,0,0,2,1,0,0,2,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,2,0,1,0,1,0,2,1,0,2,1,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,2,1,2,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,2,1,1,0,1 0,0,0,2,1,0,0,1,1,1,1,0,0,2,2,0,0,0,0,0,0,0,1,2,0,0,1,2,0,0,2,0,1,0,0,0,1,0,1,0,0,1,1,2,1,0,0,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,2,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,1,1,1,1,0,1,0,1,0,0,1,0,0,2,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,2,0,0,0,0,0,0,2,2,1,1,1,0,1,0,0,1,0,2,0,0,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0,2,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,2,1,0,1,0,2,0,0,2,1,1,0,0,1,1,1,0,0,2,0,1,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,2,2,1,1,2,0,2,1,0,0,2,1,1,0,1,0,0,2,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,2,1,2,1,1,0,0,0,0,0,0,2,2,0,0,1,1,1,0,0,0,0,2,0,1,1,0,0,0,0,1,2,0,0,0,0,0,1,1,0,1,0,0,0,2,0,0,2,0,0,1,0,0,2,0,1,1,1,1,0,2,0,0,0,1,0,0,0,2,0,1,0,1,0,0,2,0,1,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,2,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,1,0,2,1,1,1,0,0,2,2,1,2,1,1,0,0,0,2,0,1,0,1,1,0,0,1,1,2,1,1,0,0,0,2,0,2,0,1,0,1,1,0,1,2,1,2,1,0,0,0,2,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,2,1,1,0,0,0,0,0,0,1,0,0,0,1,1,2,0,0,2,1,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,2,1,0,0,1,0,1,0,1,0,1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,2,1,1,0,0,1,1,0,1,0,1,1,2,0,2,1,0,1,0,0,1,0,0,0,0,1,1,1,0,2,0,0,1,0,2,1,1,0,0,1,1,0,1,1,0,0,0,0,2,0,0,1,0,1,1,1,0,2,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,0,0,1,2,0,1,2,0,1,1,1,0,2,0,0,0,0,2,0,0,2,0,0,1,0,0,1,0,0,1,0,1,2,1,0,2,1,1,0,0,0,0,0,0,0,2,1,0,0,1,0,0,2,0,0,1,1,2,2,0,0,0,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,2,0,0,2,0,0,0,1,0,1,2,1,2,0,0,0,0,1,0,1,1,1,2,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,1,1,1,2,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,2,2,1,0,0,0,0,2,1,2,1,2,1,1,1,0,0,2,0,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,2,1,0,0,0,1,0,0,2,1,1,1,0,1,0,0,1,2,1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0,2,0,1,0,0,2,2,0,1,2,1,1,1,2,1,1,2,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,1,0,1,2,0,0,0,1,0,2,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,2,0,0,1,0,0,0,1,1,2,0,0,2,0,0,1,0,0,0,0,0,0,0,1,2,1,0,0,0,1,1,0,2,1,0,0,0,0,0,1,1,1,0,1,0,0,1,2,1,2,1,0,1,1,0,1,0,1,0,0,0,0,0,1,1,1,1,0,1 1,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,1,0,0,0,0,0,0,1,1,1,2,0,0,1,0,0,1,0,1,0,0,0,1,0,2,0,0,1,1,0,0,1,1,0,2,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,2,0,2,1,0,2,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,2,2,0,0,1,1,0,0,1,0,0,0,1,0,0,2,1,1,1,1,1,0,1,0,2,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,2,0,1,0,0,0,0,1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,2,0,1,0,0,0,0,2,1,2,2,1,0,1,0,2,0,0,2,0,0,1,0,0,0,0,1,1,0,0,0,2,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,2,1,1,1,0,2,1,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,1,0,1,0,2,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,1,2,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0,1,1,1,0,1,0,0,2,1,2,0,0,0,1,0,1,1,1,0,0,1,1,1,2,0,0,2,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,2,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,2,1,0,0,2,0,0,1,1,2,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,2,2,2,2,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,1,0,1,0,1,0,0,1,2,0,0,0,0,1,0,2,2,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,2,0,0,1,1,1,0,0,0,0,1,0,0,0,2,0,0,0,1,1,1,1,0,0,0,1,2,1,1,0,0,0,0,1,1,2,0,1,0,1,0,1,1,2,1,0,0,0,1,0,1,1,2,1,0,2,2,0,1,1,0,2,0,2,1,1,0,0,0,0,2,2,0,0,2,1,0,2,0,0,2,0,0,0,0,1,1,0,0,0,0,0,2,1,0,0,1,0,0,2,0,2,0,1,1,0,1,1,1,0,0,2,1,0,0,1,1,0,0,0,0,0,1,1,0,2,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,2,0,0,0,0,0,0,1,1,0,0,0,2,1,0,1,0,1,0,1,0,2,2,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,2,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,2,1,1,2,0,0,0,0,0,0,0,1,2,1,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,1,1,2,2,0,0,0,0,0,0,1,2,2,2,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,2,0,0,2,0,2,1,1,0,1,0,0,0,0,0,0,1,1,2,1,0,0,0,1,0,1,0,0,1,1,0,1,0,1,1,0,0,2,1,0,1,0,2,0,1,0,0,0,0,0,0,2,0,0,1,0,0,1,0,2,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,1,0,2,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,1,2,0,0,1,0,0,0,0,0,2,0,0,0,1,1,0,1,2,1,1 1,0,0,1,0,0,0,2,1,1,2,2,0,1,1,0,0,2,1,0,0,0,2,0,2,0,2,2,0,1,1,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,2,1,0,0,0,1,0,1,1,0,0,0,1,0,2,0,0,0,1,1,0,2,0,1,0,1,0,0,0,2,0,0,2,0,0,0,0,0,1,0,1,1,0,0,1,1,1,0,1,2,1,0,0,0,0,0,0,0,1,1,0,2,1,0,1,1,0,1,0,1,1,1,0,0,1,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,0,1,0,2,1,0,2,1,0,1,0,0,0,0,2,0,1,0,1,1,0,0,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,2,2,0,0,1,1,0,1,1,0,0,0,0,0,1,1,2,0,1,1,0,2,2,1,1,0,0,0,0,0,2,0,0,1,0,0,1,0,0,1,0,1,0,2,1,0,1,0,0,2,0,0,0,1,0,0,1,0,0,0,1,1,0,0,2,1,0,0,1,1,0,1,0,0,0,2,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0,2,0,1,0,2,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,2,0,1,0,1,2,0,0,1,0,0,0,1,0,1,1,0,1,1,0,2,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,1,2,1,2,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,2,0,0,1,1,0,2,0,1,0,2,1,0,0,1,0,1,0,0,0,1,1,2,0,1,2,1,2,0,1,1,0,1,2,2,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,1,1,2,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,1,1,1,0,0,0,1,0,0,0,2,0,2,0,0,1,0,0,0,2,0,0,2,1,0,1,0,1,0,2,1,0,1,0,0,0,1,1,0,0,1,2,0,1,0,1,0,1,0,0,0,1,1,1,0,0,2,2,0,0,0,0,0,2,1,1,0,0,1,1,0,2,1,0,2,0,2,0,0,0,0,0,0,0,0,2,1,0,0,1,2,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0,2,2,0,2,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,2,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,2,0,1,0,0,0,0,1,1,2,0,0,0,1,0,0,0,1,0,2,1,0,1,0,1,0,1,0,0,0,0,1,2,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,2,0,0,1,0,0,1,0,1,1,0,1,1,2,0,0,0,1,0,0,1,0,0,0,1,2,2,0,1,0,1,0,0,0,1,0,0,2,0,0,0,0,0,0,0,1,1,1,1,2,0,1,2,0,0,0,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,1,0,2,0,2,2,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,2,1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0,2,2,1,0,0,0,0,0,1,1,2,1,1,0,1,0,0,1,0,0,2,2,0,1,0,0,2,0,1,0,0,0,2,0,1,2,0,0,1,0,0,0,0,1,2,0,2,0,2,0,1,2,0,0,0,2,1,0,0,1,0,2,1,0,0,0,1,0,0,0,1 1,0,1,0,0,0,2,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,2,0,1,0,1,1,0,0,0,0,0,1,0,2,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,2,0,0,2,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,1,1,1,0,0,0,0,0,1,2,0,1,0,0,1,1,0,0,1,2,0,1,0,1,1,0,0,2,0,0,0,1,0,2,0,2,0,0,0,0,0,0,1,0,0,1,1,2,0,0,0,1,2,1,0,1,0,0,0,0,2,1,2,1,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,2,2,0,1,1,0,1,1,2,0,0,2,1,0,0,0,0,1,0,1,1,0,2,1,0,0,0,1,1,1,0,0,0,0,0,0,0,2,0,1,0,0,2,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,1,2,1,0,0,1,2,1,1,1,0,0,0,0,1,0,1,2,0,0,1,0,1,0,0,2,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0,1,1,1,2,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,2,1,2,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,2,1,1,1,0,0,0,2,1,0,0,0,0,1,1,2,2,0,2,0,1,1,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,1,1,1,2,0,0,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,2,0,0,0,0,0,0,2,1,0,1,0,0,0,0,1,2,0,0,0,1,0,0,2,0,0,0,2,1,1,2,1,0,1,1,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,2,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,2,1,0,0,0,1,0,1,0,0,2,0,0,1,0,0,0,2,0,0,2,2,2,1,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0,0,1,2,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,2,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,2,1,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,2,1,0,1,0,1,0,2,1,0,0,1,0,2,0,0,2,1,1,0,0,0,0,0,0,0,1,0,0,0,1,2,0,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,1,2,0,0,1,2,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,2,0,1,0,1,1,1,0,1,0,0,0,0,2,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,2,0,2,1,1,1,1,0,0,0,1,1,1,0,0,1,2,0,0,0,1,0,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,1,0,1,0,0,2,0,0,0,1,0,1,0,0,1,1,1,1,0,2,0,1,0,0,0,0,0,0,1,1,1,2,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,2,0,2,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,1,0,2,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,2,0,0,0,0,2,0,0,0,0,1,1,1,0,1,0,0,0,0,0,1,2,0,0,1,1,1,0,1,1,1,1,0,1,0,1,0,2,0,0,0,0,0,0,1,0,2,1,2,1,1 1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,2,2,1,1,0,0,1,1,1,2,1,1,0,0,0,1,1,1,0,1,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,2,0,1,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,2,2,1,0,0,1,1,0,1,0,0,0,1,2,0,1,0,0,2,1,2,2,0,0,0,0,1,1,0,0,0,1,2,1,1,1,1,0,2,0,1,0,1,1,2,0,0,0,0,0,1,1,0,0,0,2,0,1,0,1,1,0,1,0,0,0,1,0,0,2,1,0,0,0,1,0,1,0,0,1,1,0,0,2,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,2,0,2,2,0,1,1,0,0,0,1,0,1,1,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,2,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,2,0,0,0,0,1,0,2,2,1,0,0,0,0,0,2,1,0,1,1,0,0,2,0,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,2,0,0,0,1,1,0,0,1,0,1,0,2,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,2,0,0,0,0,1,1,1,1,0,0,1,2,0,0,1,0,2,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,2,0,1,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0,2,0,1,0,0,1,0,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0,2,1,0,0,0,0,0,1,0,2,1,2,0,1,1,0,1,0,0,0,2,1,1,0,2,0,0,1,2,1,2,2,2,0,0,1,1,1,0,2,1,2,1,0,1,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,2,1,1,1,0,2,1,1,1,1,2,1,1,1,1,1,1,1,0,0,2,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,1,2,0,1,1,0,2,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0,0,1,1,2,0,0,0,1,1,0,1,1,0,1,0,2,1,1,1,2,2,1,0,1,0,0,0,0,1,2,1,1,1,0,0,2,2,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,2,0,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,2,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,1,1,1,2,0,0,0,1,1,0,0,2,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,2,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,1,2,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1 0,0,1,1,0,0,0,0,0,1,0,2,1,1,1,0,0,2,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0,1,2,1,1,0,0,2,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,1,1,0,2,1,0,1,0,1,1,2,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,2,0,1,2,2,1,0,0,0,0,0,0,1,0,1,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,2,1,0,2,0,2,1,1,0,0,1,0,0,0,0,2,1,1,0,0,1,1,0,0,0,0,1,0,0,2,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,1,0,2,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,2,1,0,0,0,1,0,2,0,0,0,0,0,0,0,2,0,1,0,2,1,1,2,1,0,0,1,2,1,0,0,0,0,1,0,0,0,0,2,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,2,1,0,0,0,1,1,1,0,0,0,0,0,0,2,0,1,1,2,0,0,1,0,2,0,0,0,0,1,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,1,2,2,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,2,0,0,1,1,0,0,1,0,0,2,1,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,1,2,1,1,0,1,1,0,1,0,0,0,1,1,2,0,0,0,0,1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,2,0,1,1,0,0,1,0,0,0,1,1,1,0,1,0,1,0,2,0,0,0,1,0,1,1,1,1,0,0,1,0,0,1,1,1,0,1,1,1,0,1,0,1,1,1,1,2,0,2,2,0,2,1,1,2,0,2,1,1,0,1,2,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,0,1,0,1,1,0,0,2,1,0,1,1,0,1,0,0,0,1,2,0,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,2,0,0,0,0,1,2,1,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,2,2,0,1,2,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,2,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0,1,2,1,1,1,1,0,1,1,0,1,0,0,0,0,2,1,1,1,0,1,1,1,1,1,0,1,1,0,0,0,1,2,1,0,1,0,2,0,2,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0,2,0,0,0,1,0,1,1,2,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,1,1,1,1,1,2,1,2,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,2,0,0,0,0,0,0,1,1,1,0,0,2,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,1,2,0,0,0,0,0,0,1,1,0,0,2,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,2,0,0,0,1,0,1,0,1,0,1 0,0,1,1,0,0,0,0,2,2,1,1,0,1,1,1,1,2,0,0,0,2,0,0,0,1,1,1,0,1,0,0,2,1,0,0,0,2,1,1,1,1,0,1,1,2,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,2,0,0,0,2,2,0,0,1,0,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,2,0,0,0,1,1,2,0,1,1,0,0,1,1,2,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,2,1,1,0,1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,0,1,1,1,2,1,0,0,0,1,1,1,1,0,1,0,2,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,1,0,2,2,2,0,0,1,0,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,1,2,1,2,0,0,2,1,0,1,2,1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,2,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,2,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,1,2,0,1,0,1,2,0,0,1,1,0,0,1,1,1,0,0,2,2,1,0,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,1,1,0,2,0,1,0,0,1,1,0,0,0,0,0,0,2,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,1,2,2,0,2,1,1,0,0,1,0,1,0,2,1,0,0,0,2,0,0,0,1,0,1,0,0,1,0,2,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,2,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,2,1,2,1,1,0,0,0,0,1,0,1,0,0,1,1,0,0,2,0,1,0,2,1,0,0,2,0,1,0,0,1,2,0,0,0,1,1,0,1,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,2,0,1,0,0,0,1,0,0,2,1,0,2,0,1,1,0,1,1,1,1,1,0,0,2,1,2,2,1,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,2,1,0,2,0,1,0,0,0,1,0,0,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,2,0,1,1,1,0,2,0,0,1,1,1,0,1,0,1,0,1,0,0,0,2,0,2,0,0,0,0,1,1,1,1,0,1,0,0,0,0,1,0,2,0,0,0,1,1,1,2,1,2,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,2,2,0,2,1,1,0,0,0,1,0,1,0,0,0,1,0,0,1,1,2,0,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,2,0,0,1,2,2,0,0,0,0,0,0,1,2,0,2,0,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,2,1,0,1,2,0,0,0,1,0,0,0,0,0,0,1,0,2,0,2,1,0,0,2,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,1,1,0,2,0,0,0,0,1,0,0,1,1,1,0,1,0,0,2,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,2,0,1,0,0,1,0,1,1,0,0,0,2,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,2,0,2,1,0,0,1 2,0,0,0,2,2,1,1,0,1,2,0,0,2,0,0,0,2,0,0,0,1,1,1,1,2,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,2,1,1,0,0,0,0,0,0,0,2,0,0,0,0,2,0,2,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,2,0,1,0,0,0,0,0,1,1,1,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0,2,0,1,2,1,1,1,1,0,1,1,0,2,0,0,1,1,0,2,1,0,1,0,0,1,0,0,0,2,0,1,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,2,0,0,1,0,1,1,0,0,0,1,0,1,1,2,0,1,0,0,0,0,0,0,1,2,0,0,1,0,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0,2,0,1,0,1,2,1,1,0,0,0,2,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,2,0,1,0,1,0,0,1,1,0,0,2,0,1,0,0,2,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,2,1,0,2,2,0,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,1,1,0,0,2,1,1,0,0,1,0,1,0,0,0,0,1,1,2,1,1,2,1,0,1,2,0,1,0,0,1,1,2,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,2,0,0,1,2,2,0,1,0,0,1,0,1,2,1,0,1,0,1,0,0,1,0,1,0,0,2,0,0,0,1,0,2,0,0,0,1,0,1,2,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,2,1,1,0,0,0,0,0,0,0,0,0,1,1,0,1,2,0,1,1,0,0,1,0,0,1,0,1,0,1,1,1,2,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,2,1,0,2,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,2,0,1,1,0,1,0,1,0,1,2,0,0,0,0,0,1,2,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,1,2,1,2,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0,2,0,1,0,1,0,2,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,2,2,0,0,2,2,2,0,1,0,0,1,0,2,0,2,0,1,0,1,1,0,1,1,0,1,0,0,0,2,0,2,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,2,1,0,1,0,1,0,0,0,0,0,1,1,0,0,2,1,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,1,1,0,0,2,0,0,0,0,1,2,1,0,0,0,0,1,0,0,1,1,0,1,0,2,0,1,0,0,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,1,1,2,0,1,1,1,0,0,1,0,0,0,2,0,1,0,2,1,1,1,0,0,1,0,1,1,0,0,0,1,0,2,0,0,0,1,0,1,0,0,1,0,2,0,1,2,1,1,1,0,0,0,0,1,1,2,1,0,0,1,1,1,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,2,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,2,0,1,0,2,1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,1,0,0,0,2,0,2,0,1,0,1 0,0,1,1,1,0,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,2,0,1,0,0,0,0,2,2,0,1,2,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,2,2,0,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,1,1,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,1,0,1,1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,2,0,1,1,0,0,0,0,0,0,0,2,0,1,1,0,0,1,1,0,0,2,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0,0,1,2,1,0,1,0,0,0,0,1,1,2,0,1,1,0,1,0,1,1,1,1,0,0,2,2,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,2,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,1,2,0,1,0,0,0,2,1,0,1,0,1,1,0,0,0,0,2,1,0,0,2,0,1,2,1,1,1,1,0,1,0,0,1,0,1,2,2,0,0,0,0,1,1,1,1,0,0,0,0,1,2,1,0,0,0,1,0,1,0,0,1,0,0,2,2,0,0,0,0,0,2,2,0,1,0,1,2,1,0,0,1,0,0,0,1,0,2,0,1,0,1,1,0,2,0,0,0,0,0,0,0,0,0,0,2,1,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0,2,0,1,1,1,0,2,1,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,2,0,0,0,0,1,1,0,2,1,0,0,1,0,1,2,1,0,1,0,0,1,0,0,2,1,0,1,1,0,0,1,0,2,0,0,0,0,0,0,1,0,1,0,1,1,0,0,2,1,0,0,1,0,0,0,1,1,0,0,0,2,1,0,2,1,0,0,0,0,0,1,0,0,2,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0,2,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,1,1,0,1,0,1,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0,2,0,0,2,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,2,0,1,0,0,1,0,0,1,0,0,0,2,1,1,0,1,1,0,1,2,0,0,1,1,0,1,1,1,1,0,2,0,1,1,1,0,1,0,1,0,0,0,2,0,2,1,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,2,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,2,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,1,0,1,0,0,2,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0,2,0,2,1,0,0,0,1,1,0,2,0,0,0,2,1,1,1,0,0,0,2,0,0,0,0,0,2,1,0,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,2,0,1,0,1,0,0,0,0,2,0,0,1,1,0,0,0,2,0,1,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,2,0,2,0,0,0,0,0,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,1,1,0,1,2,0,1,2,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,1,2,1,0,0,1,1,1,1,0,0,0,1,0,0,2,1,1,1,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,1 1,0,0,1,1,0,0,2,0,0,0,1,0,2,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,2,1,0,1,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,1,2,1,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,2,0,1,2,1,1,1,1,2,2,1,0,0,0,1,2,0,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,0,1,2,0,1,1,2,0,0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,0,1,1,1,0,2,0,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,1,2,0,0,1,0,2,0,0,0,0,0,1,1,0,0,0,0,0,2,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,1,1,1,2,2,1,0,0,0,1,2,0,0,0,0,2,0,2,0,0,0,2,1,1,1,1,1,0,0,0,1,2,1,1,1,2,1,2,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,2,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,1,1,0,1,0,1,1,2,1,0,2,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,2,1,0,0,1,0,2,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,2,1,1,1,0,0,0,0,1,2,0,0,0,2,1,0,0,1,1,0,1,1,2,1,1,0,0,0,0,2,0,2,2,0,0,0,0,0,1,1,2,0,1,0,0,0,1,0,0,1,0,1,1,0,2,0,0,1,1,2,0,0,1,0,0,0,2,1,1,0,0,0,1,0,2,2,0,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,2,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,1,1,0,0,2,1,2,0,2,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,2,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,2,0,0,1,0,1,0,0,0,1,0,0,0,1,2,1,1,1,1,0,1,0,0,1,0,2,2,1,0,0,1,0,1,0,1,0,1,0,2,1,1,1,0,1,0,0,1,2,1,0,0,0,0,1,1,0,2,0,1,1,0,2,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,2,0,1,0,0,0,0,0,1,0,1,1,0,0,1,1,0,2,1,0,0,0,0,0,2,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,2,1,1,0,0,1,0,1,0,1,2,0,2,2,0,0,1,1,0,1,2,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,2,1,1,1,0,1,0,1,0,0,1,2,0,0,2,1,0,0,0,1,0,0,0,2,1,0,0,0,0,0,1,0,0,1,0,0,0,2,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,1,1,1,1,0,1,2,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1 1,0,1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,2,0,1,1,0,0,0,0,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,1,2,1,0,0,1,1,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,1,1,1,2,0,0,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0,1,1,2,0,0,1,0,2,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0,2,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,2,0,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,2,1,0,1,1,0,0,0,2,1,1,0,1,0,1,0,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,2,0,0,1,1,1,2,1,0,0,0,0,0,0,1,1,1,0,0,0,1,2,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,2,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,1,1,0,2,0,0,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,1,0,1,0,1,2,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,1,1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,2,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,2,0,0,0,1,2,1,1,2,0,0,1,0,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,1,1,2,0,0,2,0,1,0,0,1,0,0,0,0,0,1,0,2,0,0,2,1,0,2,0,1,0,2,0,0,1,0,0,0,0,0,0,1,0,2,1,0,1,0,0,0,0,2,0,1,0,2,0,1,0,0,2,1,0,1,1,1,1,0,0,0,2,0,0,0,2,0,2,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,2,0,0,1,0,0,0,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,1,1,1,0,0,0,1,2,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,2,0,1,0,1,0,0,1,0,0,2,0,0,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,1,2,2,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,1,1,2,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,0,0,2,0,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,2,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,2,0,1,1,1,1,0,0,1,1,1,2,0,2,0,1,0,1,1,1,0,1,0,1,1,1,1,2,0,1,0,2,1,0,0,0,1,0,1,2,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,2,1,1,0,0,0,0,1,2,1,0,1,1,0,2,2,2,1,0,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,2,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,1,2,0,1,0,1,1,0,0,0,2,1,0,1,1,1,0,0,0,2,1,0,1,0,0,1,2,0,2,2,0,1,1,1,0,1,0,1,1,0,0,1,0,0,2,0,1,0,1 2,0,0,2,0,0,0,0,0,1,1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,2,0,0,2,1,0,0,2,0,0,0,0,0,1,2,2,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,2,0,0,0,1,1,0,1,0,0,0,0,0,2,2,0,0,0,0,0,0,2,0,1,2,0,1,0,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,1,1,1,0,1,0,2,1,2,2,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,1,2,0,0,0,1,1,0,0,0,1,1,1,1,0,1,1,2,0,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,1,1,1,2,1,0,1,1,1,0,0,0,1,1,0,2,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,2,0,1,0,1,0,0,0,2,0,0,0,0,0,0,0,1,1,1,0,2,0,1,1,0,0,0,0,1,0,2,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,2,0,2,0,1,0,1,1,1,0,0,1,0,0,2,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,2,0,0,0,0,1,0,0,1,2,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,1,1,2,0,0,1,0,0,2,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,2,0,0,1,1,0,1,0,2,0,2,0,0,2,1,0,1,1,2,0,0,1,2,0,1,0,0,0,1,0,1,0,0,1,2,0,0,0,0,1,2,0,2,0,0,0,0,0,1,1,1,0,0,2,0,0,0,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,1,0,0,1,2,0,1,0,0,2,0,1,0,0,0,1,0,0,0,0,2,0,0,0,1,0,1,0,0,1,1,0,0,1,2,1,0,0,0,0,0,1,1,2,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,2,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0,2,0,2,1,0,0,1,1,2,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,2,0,0,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,1,1,0,2,0,0,2,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,0,2,2,2,0,0,0,0,2,2,0,0,0,0,0,0,1,1,0,1,2,0,0,1,0,1,2,2,1,1,0,0,1,0,0,1,1,0,2,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,1,0,1,2,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,2,1,0,1,2,1,1,0,0,0,0,1,0,0,1,0,1,2,2,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,2,1,0,2,1,0,0,0,0,0,1,2,1,0,1,1,1,0,1,0,1,1,0,0,2,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,0,0,1,1,1,0,1,0,1,2,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0,2,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,2,2,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,1,2,1,1,1,2,0,0,0,0,1,0,1,2,2,0,0,1,1,2,1,2,0,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,1 2,0,0,1,1,0,2,0,1,0,2,0,1,2,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,1,1,0,1,2,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,2,0,0,0,1,0,0,1,0,1,0,0,0,0,2,1,0,1,2,0,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,1,0,2,1,1,1,0,0,0,0,0,0,1,1,0,1,1,2,0,0,1,0,1,1,0,0,0,0,0,1,0,2,1,0,0,0,0,0,0,1,1,1,1,0,2,1,0,2,0,1,1,0,0,0,0,0,0,0,1,0,1,2,1,0,1,2,2,0,0,1,0,0,0,0,0,2,2,1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,1,0,2,0,0,0,0,0,0,2,1,0,0,0,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,1,1,1,1,1,2,0,0,0,0,1,2,0,0,0,1,0,1,0,0,0,0,1,0,2,0,0,1,0,1,1,1,1,0,0,0,1,2,1,0,1,0,0,2,0,1,2,0,1,0,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,1,1,2,2,0,0,1,0,0,0,0,2,1,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,1,2,2,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0,1,1,0,0,0,1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0,2,1,1,2,0,1,0,0,0,0,0,1,1,1,1,2,0,0,1,0,1,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,2,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,2,0,2,1,2,0,0,0,1,0,1,0,0,0,0,2,1,0,0,1,0,0,0,1,0,0,0,0,0,2,0,1,1,1,2,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,1,1,0,1,0,0,0,2,1,1,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,1,1,1,0,1,1,2,0,2,1,0,0,0,2,0,0,1,2,1,1,0,0,0,0,1,0,2,0,1,2,1,0,1,2,0,1,2,1,1,1,1,1,1,0,0,0,2,0,1,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,0,0,2,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,2,0,0,2,1,1,0,1,0,0,0,1,0,0,1,0,0,2,0,0,2,2,0,0,0,1,1,0,1,0,0,1,1,0,0,0,1,1,1,1,1,2,0,0,2,0,1,0,1,0,0,1,1,0,0,1,0,2,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,2,0,0,0,1,0,1,0,0,1,1,0,0,0,0,2,1,1,0,1,1,0,0,0,2,1,1,1,2,2,0,0,1,0,1,0,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0,2,0,2,1,0,2,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,2,0,0,0,0,0,0,1,2,1,1,0,0,1,0,0,0,0,1,1,2,1,1,1,0,0,1,0,0,0,1,1,1,2,0,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0,2,0,1,1,0,0,0,1,0,1,2,0,2,0,1,0,0,1,0,1,0,0,1,1,0,0,1,1,1,1,0,2,2,1,1,0,0,1,1,1,0,2,0,0,0,0,0,0,1,0,0,2,1,0,0,0,1,0,0,2,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,1,1,1,1,0,1,1,0,0,1,0,1,0,0,2,0,0,2,0,0,1,0,0,2,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,2,1,1,0,0,2,0,2,2,0,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1 1,0,1,1,1,0,1,0,0,1,0,2,1,1,1,1,0,2,0,0,0,0,2,0,1,0,1,1,0,0,2,0,0,1,0,0,2,2,1,0,0,2,1,1,1,1,0,2,1,1,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,2,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0,2,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,2,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,2,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,1,0,1,0,2,1,1,0,1,0,1,1,0,2,1,0,0,1,0,0,0,1,1,2,1,1,0,1,1,0,1,0,1,2,0,1,0,0,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,2,0,0,0,0,1,0,0,2,0,1,1,0,1,0,1,0,1,1,2,0,0,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,2,0,0,1,0,1,0,0,2,0,0,1,1,1,1,1,1,0,0,0,1,0,0,2,0,0,2,1,2,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,1,0,0,1,1,0,0,1,1,1,0,1,1,2,1,0,0,0,0,2,1,1,1,0,1,2,1,0,2,0,1,0,2,1,2,2,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,1,1,0,0,1,2,0,1,2,1,0,1,2,1,1,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,2,0,0,2,0,1,0,0,0,0,0,1,1,1,1,1,1,0,1,0,0,0,1,0,2,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,2,0,1,2,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,1,0,1,0,2,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0,2,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0,1,2,1,0,1,0,1,0,0,0,1,1,0,0,0,2,1,0,2,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,1,0,1,1,0,2,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,1,1,1,0,0,1,1,1,0,1,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,2,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,2,0,0,0,1,0,2,0,1,0,2,0,0,0,0,1,2,0,1,1,2,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,1,1,1,2,0,0,0,1,1,0,0,1,0,0,0,2,0,1,1,0,2,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,2,0,2,0,0,1,2,2,1,1,1,1,2,0,0,1,2,1,0,0,2,0,2,0,1,2,0,1,0,0,1,0,0,1,1,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,2,0,0,1,0,2,0,0,1,1,0,0,0,1,0,2,0,0,1,1,2,0,2,2,0,0,2,0,0,0,0,0,2,0,0,0,0,0,2,1,0,0,0,2,0,0,1,0,0,1,0,1,0,1,1,1,2,1,1,0,1,0,1,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,1,0,2,1,0,0,1,1,1,0,0,0,0,1,2,1,0,0,1,0,0,0,1,1,1,1,1,1,0,2,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,1,0,1 2,1,2,0,0,0,0,0,0,0,1,1,0,2,1,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,1,0,1,2,1,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,2,0,0,0,0,0,1,2,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,2,0,0,0,2,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,2,1,0,1,2,1,0,2,0,0,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,2,0,0,0,0,1,1,1,0,0,1,0,2,1,0,0,1,1,0,0,2,0,1,0,1,0,0,0,0,0,0,0,1,0,1,1,2,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,2,1,1,0,0,1,1,0,1,2,1,0,0,1,0,1,0,0,0,1,0,0,2,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,2,2,0,0,1,0,0,2,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,2,0,0,1,0,1,1,2,1,2,0,0,0,1,0,1,1,0,1,1,1,1,0,0,1,0,1,2,0,0,0,1,0,0,1,0,0,0,0,1,0,2,1,0,0,0,1,2,2,0,1,1,1,2,0,2,0,1,0,1,2,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,2,0,0,1,0,2,1,1,0,0,0,0,0,0,0,2,1,0,0,0,1,2,1,1,0,1,1,1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0,2,1,2,0,0,1,2,0,1,0,0,1,2,1,1,0,0,1,0,1,0,1,0,2,0,0,0,0,1,0,1,0,0,0,0,0,1,1,2,1,0,0,1,0,0,0,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,2,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,2,0,0,1,1,1,0,0,2,0,1,0,1,1,1,1,1,1,0,0,2,1,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,2,0,0,1,0,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,2,1,1,1,1,0,1,0,2,2,1,1,1,0,2,2,1,0,1,0,1,0,0,1,0,0,1,2,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,1,0,0,0,0,0,1,0,1,2,0,1,0,1,0,1,0,2,1,0,0,0,0,1,0,1,0,0,1,0,2,0,1,0,0,0,2,1,0,1,0,2,2,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,1,0,0,1,0,2,1,2,0,1,2,1,0,0,1,2,0,1,1,0,1,1,0,1,1,1,2,1,1,1,0,0,2,1,0,1,1,1,1,0,0,1,2,1,1,2,0,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,2,1,1,0,0,0,1,0,0,1,0,0,0,1,0,2,1,1,0,0,0,2,0,1,1,2,1,0,1,0,0,0,0,0,1,0,0,2,1,0,0,0,0,1,2,2,0,2,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,2,1,0,1,1,1,1,0,0,1,1,2,0,1,0,1,0,2,1,0,0,1,0,0,2,0,1,1,1,0,1 0,0,0,1,0,0,0,0,1,1,1,0,2,1,2,1,0,1,0,0,0,1,1,2,1,1,2,1,0,0,1,0,2,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,1,2,0,2,0,0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,2,0,2,0,0,0,0,0,0,2,0,0,1,0,0,1,0,2,2,2,0,0,0,1,1,1,0,1,1,2,0,2,1,2,0,1,0,0,0,0,1,0,2,1,0,2,1,1,1,0,1,0,0,2,0,0,0,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,1,0,2,1,1,0,0,0,1,0,2,1,0,1,0,0,0,0,2,0,1,0,0,0,0,1,0,1,2,0,0,1,0,1,0,0,1,0,0,0,0,2,0,0,1,0,0,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0,1,2,2,0,0,1,1,1,0,1,1,2,1,1,0,0,2,1,0,0,0,1,1,1,1,2,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,2,2,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,2,0,1,1,0,0,1,0,0,2,0,0,0,1,0,1,2,2,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,1,1,1,0,2,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,0,2,1,0,0,0,0,1,0,0,1,1,2,0,0,0,0,0,0,0,0,1,2,0,2,0,0,1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,2,1,1,1,0,0,1,2,1,1,0,2,1,0,0,0,2,0,1,0,1,0,1,1,0,1,0,2,1,1,1,1,1,1,1,0,1,0,0,0,1,0,2,2,1,0,1,1,2,0,1,1,1,2,1,1,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,2,1,1,2,0,0,2,0,1,1,1,0,0,0,0,1,0,0,0,1,1,0,0,2,1,0,1,0,0,2,1,0,0,0,0,2,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,1,1,1,2,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,1,1,1,2,1,1,0,2,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,1,2,2,1,0,0,0,2,1,1,0,0,0,2,0,0,0,1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,1,2,1,1,0,0,0,2,1,1,0,0,1,0,0,0,0,1,1,2,0,0,0,0,1,0,0,0,1,0,1,1,2,2,1,0,1,0,1,1,1,0,1,0,2,1,0,0,0,2,1,0,0,0,2,0,0,0,2,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,1,1,1,0,0,1,1,0,0,2,2,2,0,2,0,0,1,1,1,0,0,1,2,1,0,1,0,0,0,0,1,0,0,0,1,2,1,0,0,0,1,0,0,1,1,1,0,0,0,2,1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,2,0,0,1,1,0,2,0,0,2,0,0,2,0,1,1,0,0,0,0,1,0,0,1,0,0,2,2,1,1,2,0,0,0,0,1,1,0,1,0,0,1,0,1,0,2,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1 1,0,0,1,1,0,0,0,1,1,0,0,0,2,1,0,0,0,2,0,0,1,0,0,1,2,0,1,0,1,0,0,1,1,0,0,1,0,0,0,2,2,2,0,1,0,1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,1,0,1,1,0,0,2,2,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,2,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,2,2,0,0,1,1,1,0,0,2,0,1,1,0,0,0,1,1,1,2,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,2,0,0,0,2,2,0,1,1,2,0,2,2,0,1,0,1,0,0,1,0,1,1,2,0,1,0,1,0,0,0,1,0,0,0,1,0,2,0,0,2,0,0,0,2,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0,1,2,0,1,0,0,0,1,0,2,0,0,0,2,0,2,0,0,0,0,1,2,0,0,0,1,2,1,1,1,1,1,0,0,1,1,0,0,2,1,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,2,0,1,0,0,1,0,1,0,1,0,0,1,2,1,0,2,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,1,1,1,0,1,2,1,1,0,0,0,1,0,2,0,2,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,2,1,1,0,0,2,1,1,0,1,0,2,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,2,1,1,0,1,1,0,2,0,0,0,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,1,0,2,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,2,0,0,1,2,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,2,0,0,2,1,1,0,2,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,2,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,2,0,1,1,1,1,0,1,1,1,0,1,0,0,0,2,0,0,0,0,2,1,1,0,1,0,0,0,0,1,1,0,1,0,1,1,1,1,2,1,0,0,0,0,1,0,0,0,1,0,0,0,0,2,1,1,0,1,0,2,0,1,2,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,2,1,0,0,2,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,2,1,1,0,0,2,1,1,1,2,0,1,0,1,2,0,0,0,0,0,1,0,1,0,0,1,0,0,2,0,1,0,0,0,1,0,1,1,0,1,0,1,0,1,2,2,0,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,1,1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,2,0,0,0,1,1,1,1,0,2,1,0,1,2,0,0,1,1,0,1,2,2,1,2,2,0,0,0,2,1,0,0,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,2,2,0,0,0,0,0,1,2,1,0,2,0,0,2,1,1,1,1,2,0,0,0,1,1,0,1,0,0,0,0,2,0,0,0,0,0,2,1,2,1,0,1,0,0,2,0,1,0,0,1,1,0,1,1,1,0,0,0,0,2,0,0,0,0,0,2,0,0,1,1,0,0,1,1,2,1,2,0,2,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,1 0,0,1,0,0,0,0,0,0,2,1,0,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,1,0,2,1,0,1,0,2,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,2,0,2,1,1,0,1,1,1,0,0,1,1,0,2,1,1,2,0,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,0,0,2,0,1,2,0,1,2,1,0,0,0,1,0,0,0,0,2,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,2,2,2,0,0,1,0,1,1,1,0,0,0,0,1,0,0,1,0,1,1,0,2,1,0,1,1,1,0,0,0,0,1,0,0,2,1,0,1,0,1,1,0,1,2,0,0,0,0,0,2,2,0,1,0,2,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,2,1,0,0,1,2,0,0,0,1,1,0,0,1,1,2,1,0,0,1,0,0,0,1,0,0,0,2,0,0,1,0,0,1,0,0,1,0,0,2,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,2,2,2,0,0,1,1,0,1,2,0,1,0,1,1,0,0,0,1,2,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,2,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,1,1,0,1,2,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,2,0,1,1,2,0,0,0,2,2,0,1,2,0,0,0,0,0,0,0,1,1,1,1,0,0,1,2,1,0,0,2,1,1,1,2,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,1,2,1,0,0,1,2,0,0,2,0,0,1,0,0,0,0,0,0,0,0,2,0,0,1,1,0,1,1,0,0,2,0,1,0,2,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,2,0,1,1,0,0,0,0,0,0,2,2,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,1,1,0,0,2,1,0,1,2,1,1,0,1,2,1,0,1,0,2,0,0,0,0,2,0,1,1,1,1,0,2,0,0,1,1,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,2,0,2,1,1,0,0,1,0,0,1,0,0,0,1,1,0,0,1,2,1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,2,0,0,0,1,0,1,0,1,0,2,1,0,1,2,0,0,1,0,1,2,0,0,0,1,0,0,1,0,0,2,1,0,1,2,0,0,1,0,1,0,0,0,0,0,2,0,1,0,1,1,0,2,1,1,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,2,0,1,0,1,1,1,0,0,1,0,1,0,2,2,0,1,0,0,1,0,0,0,2,0,0,1,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,2,2,1,2,1,0,1,1,1,0,0,0,1,1,2,1,1,0,0,1,2,1,0,0,1,1,1,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,0,1,0,2,1,0,1,0,2,1,1,0,2,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,2,1,0,0,0,1,0,1,1,0,0,0,0,1,1,2,0,1,1,2,1,0,1,2,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,1 0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,2,1,0,0,1,1,0,2,0,2,1,0,0,2,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,2,0,0,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,2,0,0,0,0,0,0,1,0,2,0,0,1,1,0,0,1,0,1,0,0,2,0,1,0,0,0,0,0,0,1,0,2,1,1,1,1,0,0,0,1,2,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,2,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,2,1,0,1,0,0,0,0,2,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,2,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,2,0,2,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,1,2,1,2,0,1,0,1,1,0,1,0,0,1,0,0,2,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,1,1,1,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,2,0,1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,2,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,2,0,0,0,1,0,1,0,0,1,0,2,1,0,0,0,2,0,2,0,1,0,1,0,0,1,2,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,2,1,0,1,1,1,1,0,0,0,2,1,0,1,0,1,0,0,1,2,0,1,0,1,0,0,0,1,0,0,0,0,0,2,0,1,1,0,0,2,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,2,0,1,1,1,1,0,0,0,1,0,2,1,1,1,1,0,0,0,0,1,0,1,2,1,0,1,0,0,0,1,1,0,1,1,2,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0,1,1,2,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0,2,1,0,0,2,0,0,0,0,0,0,0,1,1,1,1,2,1,0,2,1,0,1,2,1,0,2,1,1,2,1,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,2,0,1,0,0,1,1,0,2,0,1,0,1,0,2,0,0,0,0,0,0,0,1,1,0,2,0,0,0,0,1,2,2,2,0,1,1,0,2,1,1,1,0,1,0,1,1,1,0,1,1,2,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,2,1,2,0,0,2,1,1,0,2,0,1,0,2,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,1,2,2,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,2,0,1,0,0,1,0,0,0,1,2,2,0,1,0,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,2,1,1,0,0,1,2,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,1,2,1,0,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,2,1,2,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0,2,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,2,0,0,0,0,2,1,1,2,0,1,0,0,0,0,2,0,1,0,0,1,0,0,1,0,1,1,1,0,1 0,0,0,0,1,0,2,1,0,0,2,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,2,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,0,1,1,0,2,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,2,0,1,1,0,0,0,1,2,2,1,1,0,0,2,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,2,0,0,0,0,1,0,1,0,0,0,1,0,2,1,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0,2,0,0,1,0,2,0,0,0,0,1,0,1,0,0,1,1,0,0,0,2,0,0,2,0,0,0,1,1,0,0,1,0,2,0,0,1,0,0,0,0,0,1,1,1,1,1,1,0,1,2,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,2,1,0,0,1,2,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,2,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,2,0,0,0,0,0,0,1,0,2,2,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,1,0,0,1,0,1,0,0,2,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,2,0,0,0,0,2,2,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,1,1,0,2,0,1,1,1,0,1,1,1,0,2,0,0,0,1,2,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,2,1,0,1,0,1,1,0,0,0,0,2,0,1,2,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,1,2,0,1,0,0,1,2,1,1,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,2,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,2,1,0,1,1,2,1,1,1,1,0,0,1,2,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,2,1,2,2,1,0,0,1,0,0,0,1,1,0,1,2,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,2,1,1,0,0,1,1,1,0,1,2,0,0,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,1,0,2,0,1,0,1,0,2,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,1,0,0,2,2,1,0,0,0,1,1,1,0,0,2,1,1,1,0,0,0,2,0,0,1,0,0,0,0,0,0,1,1,1,1,0,1,0,2,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,2,0,1,2,0,1,0,1,1,0,1,2,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,2,1,0,1,0,0,0,1,1,1,1,1,1,1,2,1,1,1,2,2,0,1,0,0,2,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,2,1,1,1,0,0,0,1,0,1,0,2,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,2,1,0,0,0,0,0,0,0,0,1,2,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,2,1,1,1,0,1,0,1,0,0,2,1,0,0,0,0,0,0,1,1,0,0,1 1,0,1,0,0,0,2,1,0,0,2,1,0,2,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,2,0,0,0,1,0,2,0,0,0,1,2,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,0,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,2,2,0,0,0,0,0,0,0,2,0,0,1,1,0,1,0,0,1,0,2,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,2,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,2,0,2,0,0,0,0,0,0,0,0,1,1,1,1,2,0,1,0,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0,2,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,2,0,0,1,0,2,0,2,0,0,1,1,0,1,0,1,2,0,0,1,0,0,1,1,0,0,0,2,1,0,2,0,0,0,0,1,0,1,1,0,0,0,2,0,0,1,0,0,0,1,0,2,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,2,1,0,1,0,1,0,0,1,0,0,0,1,2,1,1,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,2,1,1,0,0,0,0,2,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,1,1,0,1,1,1,0,0,0,0,1,2,0,1,0,1,0,0,1,1,0,1,0,0,2,0,0,0,1,0,1,2,1,1,0,0,1,1,1,2,1,1,1,0,0,1,1,1,0,0,0,0,2,0,2,2,2,0,1,1,1,2,0,0,0,0,0,2,0,1,1,1,1,0,1,0,0,0,0,0,1,0,2,0,1,1,1,0,2,0,0,0,1,0,0,0,2,2,1,0,0,0,0,0,2,1,0,0,1,0,0,0,2,0,1,0,1,0,0,1,0,2,2,1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,2,0,0,1,2,0,0,1,2,0,0,0,1,0,0,2,0,0,0,0,0,0,0,2,0,0,1,1,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,2,2,2,0,2,1,2,1,0,1,0,1,1,1,0,0,0,0,0,2,1,1,0,1,0,0,0,1,0,1,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0,2,1,0,1,1,0,0,0,0,1,1,1,1,0,0,1,1,2,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,2,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,2,1,2,0,1,0,1,0,0,0,0,0,1,1,0,0,2,2,0,0,1,0,0,1,0,1,2,0,0,0,2,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,2,0,0,1,1,0,0,2,0,0,0,0,1,1,0,0,1,0,1,2,0,1,0,0,1,0,0,2,1,1,2,0,1,0,2,0,0,0,1,0,0,0,1,2,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,2,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,2,0,0,0,0,0,2,0,0,2,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,2,0,0,2,1,0,0,0,1,0,2,1,0,0,0,1,0,0,0,0,0,1,0,0,2,0,1,2,1,0,0,0,2,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1 0,0,0,0,1,1,0,0,1,1,2,0,1,1,1,1,0,2,0,0,0,0,1,0,1,0,1,1,1,1,1,0,1,1,1,0,1,0,0,1,0,2,1,1,2,1,0,0,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,2,1,0,2,0,0,1,0,0,0,1,0,1,2,0,1,0,0,0,0,0,1,0,1,0,2,1,1,0,0,1,2,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,2,0,2,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,0,2,1,0,0,1,0,1,1,1,0,2,1,0,1,0,0,0,1,1,1,1,1,0,2,1,0,0,0,1,2,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,2,2,2,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,2,0,0,2,1,2,1,1,0,2,1,1,0,0,2,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,2,0,1,0,2,1,1,2,0,1,0,0,0,0,2,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,2,2,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,2,1,1,1,0,0,1,0,0,1,0,0,0,0,1,2,0,0,0,1,0,0,0,0,1,1,1,0,2,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,1,2,0,0,0,0,0,0,2,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,2,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,2,1,1,0,2,1,0,0,0,0,2,0,0,0,0,2,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,2,1,0,2,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,1,1,1,0,0,2,0,1,0,1,1,2,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,1,0,0,2,0,0,1,1,0,1,0,1,0,1,2,2,1,1,2,0,1,0,1,0,0,1,0,2,1,0,0,2,0,1,0,2,2,0,2,1,0,0,1,0,0,1,0,2,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,1,2,0,0,0,0,0,2,0,0,0,2,0,0,0,1,2,1,0,2,2,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,1,2,1,0,1,0,0,0,2,0,1,2,0,0,0,2,0,2,2,2,0,1,0,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,2,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,2,0,1,1,0,0,0,1,0,0,0,2,1,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,2,1,0,0,0,1,1,0,2,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,2,2,0,1,1,0,1,1,0,2,1,0,0,0,2,1,0,0,1,1,0,0,0,0,1,1,0,0,2,1,0,1,0,0,0,0,0,0,0,1,1,2,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,1,2,1,0,2,1,0,1,2,0,0,0,2,0,0,0,0,2,1,0,0,0,0,1,1,0,0,1 0,0,2,2,0,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,2,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,2,0,0,0,2,0,1,0,0,0,0,2,0,0,0,0,2,0,1,1,0,1,0,0,0,2,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,2,0,1,0,0,2,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,2,1,0,2,2,0,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,1,2,0,0,0,1,1,2,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,2,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1,2,0,0,0,0,0,1,0,1,0,0,1,0,2,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,2,2,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,0,2,1,0,0,1,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,1,0,1,0,1,0,2,2,0,0,1,2,0,1,1,0,1,1,1,0,1,1,0,2,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,2,1,0,1,1,1,0,0,1,1,1,0,0,0,2,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,2,1,1,0,0,0,0,0,0,0,1,1,1,0,1,0,2,0,0,1,0,0,1,0,0,2,1,1,1,1,0,2,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,2,1,0,0,1,0,0,1,0,0,1,0,1,0,2,1,0,0,0,0,0,1,2,0,0,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,2,1,2,0,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,0,1,2,0,0,2,1,0,0,1,0,1,1,1,1,1,0,1,0,0,0,0,1,1,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,1,2,0,0,2,1,1,0,1,1,0,0,2,0,1,0,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,2,1,2,0,0,0,0,1,0,0,2,0,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0,2,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,1,2,0,0,0,1,0,0,0,2,0,0,1,2,1,2,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,2,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,2,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,2,0,1,0,0,0,1,2,0,2,2,0,0,0,0,1,0,2,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,1,2,0,0,1,1,2,0,2,0,1,0,2,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,2,1,0,1,0,2,0,0,1,2,1,1,0,1,0,0,1,1,1,1,0,0,1,1,1,0,0,2,1,0,0,0,0,0,0,1,1,2,1,0,0,2,0,0,0,1,0,0,0,0,1,0,1,1,0,2,0,1,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,2,0,1,2,0,1,1,0,1,0,2,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,2,1,0,1 0,0,1,1,0,1,1,1,0,2,1,1,0,2,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,1,1,0,1,1,1,0,2,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,1,2,1,1,1,0,2,2,1,1,0,0,2,1,0,0,1,0,1,2,0,1,0,1,1,1,0,1,0,1,1,2,1,0,0,0,0,1,0,1,1,2,0,1,1,0,1,0,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,2,0,1,0,0,2,0,0,0,1,1,1,0,2,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,1,0,0,0,1,1,2,0,1,1,1,0,2,1,2,1,0,0,1,0,0,0,0,2,0,1,0,2,0,2,0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,2,1,1,0,1,2,1,0,0,0,1,0,0,1,1,2,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,2,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0,1,2,1,0,0,1,0,1,2,0,0,0,1,0,0,0,0,0,0,0,2,1,1,2,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,1,0,1,0,1,1,0,1,2,1,0,2,0,1,0,0,2,1,1,1,1,2,1,0,0,2,0,2,0,1,0,0,0,0,0,2,2,0,1,0,1,1,0,0,1,2,0,1,0,0,0,1,1,0,1,1,0,0,2,0,2,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,2,0,1,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0,2,0,1,0,1,0,1,0,1,1,1,0,2,1,0,0,1,0,0,0,1,0,2,0,0,0,1,0,0,2,2,0,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,2,1,0,1,0,0,1,0,0,2,2,0,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,2,0,1,1,2,0,0,2,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,2,0,0,2,0,0,0,1,0,0,1,1,0,0,2,0,1,1,0,0,2,1,0,1,2,1,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,1,0,1,1,0,0,2,2,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,2,0,1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,2,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,2,0,1,0,1,1,2,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0,2,1,0,2,1,0,0,1,0,0,2,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,2,1,0,0,0,1,0,1,0,0,0,0,2,1,0,1,1,1,1,0,0,0,0,1,2,1,2,1,1,1,0,1,0,1,0,0,1,2,2,1,0,0,0,1,1,0,0,0,0,0,0,0,2,0,2,1,1,2,0,0,1,0,0,1,1,0,0,0,0,0,0,1,1,2,0,0,0,0,1,0,0,2,0,0,0,1,1,2,2,2,1,0,0,2,1,0,0,0,0,0,1,1,2,0,0,2,0,1,1,0,0,1,1,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,1,2,0,0,0,2,0,0,0,0,1,0,0,1,0,2,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,2,1,0,0,0,0,2,1,0,1,0,1,2,0,0,1,1,0,1,0,1,1,1,2,1,1,0,0,1,2,0,0,0,1,0,0,0,0,1,0,0,1,2,1,1 2,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,2,0,0,0,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,2,1,1,1,0,0,2,1,0,0,1,0,0,0,0,1,1,1,0,1,1,0,1,2,2,0,0,0,0,0,0,1,0,0,0,1,2,2,1,0,1,0,1,1,0,0,2,1,1,0,0,1,2,2,0,1,0,0,0,0,1,0,0,1,2,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,2,1,0,1,0,1,1,0,0,0,1,0,0,1,0,2,1,1,0,1,1,0,0,1,0,1,0,1,1,0,2,0,0,1,2,0,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,2,1,1,2,0,1,0,0,2,0,0,1,1,2,1,1,1,0,0,1,0,2,1,1,1,0,0,0,0,2,0,0,1,1,1,0,0,0,0,1,2,1,0,0,1,0,0,0,1,1,1,1,1,0,1,2,1,1,0,0,0,2,1,0,1,0,0,0,1,0,1,2,1,0,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,1,2,0,1,0,0,1,0,1,0,1,1,0,2,1,0,0,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0,0,1,1,2,1,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,2,0,0,1,0,0,0,0,0,1,0,0,1,1,1,2,1,1,0,0,1,0,1,1,0,0,1,0,0,2,1,0,1,1,2,0,2,0,1,0,0,1,0,0,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,1,1,0,2,0,0,1,0,0,0,1,1,0,1,1,1,0,2,0,0,2,1,0,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,1,1,0,0,0,0,1,1,2,1,1,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,2,0,0,0,0,1,1,0,0,1,1,1,1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,2,0,0,0,1,1,0,0,2,1,1,0,0,0,2,0,0,1,2,2,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,2,0,1,1,0,0,0,0,0,0,0,0,1,2,0,0,0,2,1,1,0,1,2,0,0,0,1,1,0,0,0,0,1,0,1,2,1,0,0,1,1,0,0,1,1,0,0,0,1,1,1,0,0,1,2,1,2,0,1,0,2,0,1,0,0,1,2,0,0,0,0,1,2,1,1,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,2,0,0,1,0,0,1,0,0,0,1,0,0,1,1,1,0,2,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0,1,2,0,1,1,0,0,0,0,2,1,0,1,0,0,0,1,0,0,2,1,0,0,1,2,1,0,0,2,1,2,1,0,0,0,0,2,1,2,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,1,1,0,0,0,0,0,2,1,0,0,1,1,1,1,1,1,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,1,0,0,0,1,2,1,0,1,0,1,0,0,0,0,1,1,0,1,1,0,0,1,2,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,1,1,0,1,0,0,1,2,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,1,2,0,1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0,1,1,0,1,1,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,1,2,0,0,0,1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1 0,0,2,2,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,2,1,0,2,0,2,1,1,0,1,0,0,0,1,2,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,2,0,1,0,0,0,2,0,1,2,0,0,0,1,0,1,0,0,2,0,0,0,2,0,0,0,0,0,1,0,1,0,0,1,0,0,2,1,0,0,0,2,1,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,2,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,2,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,1,1,0,1,2,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,2,1,0,0,0,2,2,0,0,0,2,0,0,1,0,0,0,1,2,0,2,1,0,0,0,0,0,0,2,0,0,1,1,1,0,1,2,1,0,1,2,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,2,0,2,0,2,0,2,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,1,0,0,1,1,1,0,2,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,2,1,1,1,0,0,1,0,1,0,0,1,0,0,2,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,1,2,0,0,0,1,2,1,0,0,1,0,0,0,2,0,0,0,2,1,0,1,0,0,1,0,0,2,1,2,0,0,0,0,0,2,2,0,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0,2,0,1,1,0,0,0,0,2,0,0,2,0,1,0,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0,1,2,1,1,0,0,0,0,0,0,0,1,1,1,1,0,1,0,1,0,1,0,2,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,0,2,1,1,0,0,1,2,0,1,0,0,0,0,2,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,1,0,2,1,0,2,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,2,0,0,1,0,0,0,2,1,1,1,0,2,0,1,1,0,0,1,2,2,1,2,1,0,1,0,1,1,1,0,2,1,1,1,1,0,2,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,1,0,1,1,0,0,0,0,1,0,2,1,1,2,1,1,0,0,1,1,1,0,1,1,0,0,2,1,0,0,1,0,2,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,2,0,2,0,0,0,0,1,0,0,1,1,0,0,1,2,1,1,2,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0,2,0,0,0,2,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,2,1,1,0,2,0,1,0,0,0,1,1,2,0,0,0,0,0,1,0,0,1,0,2,1,0,0,1,0,0,2,2,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,2,0,0,1,2,0,1,2,0,1,0,2,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,2,0,0,0,0,1,2,0,0,1,0,1,0,0,2,1,0,0,2,0,0,1,0,0,1,2,2,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,2,2,0,1,0,0,0,1,0,1,0,2,0,1,2,0,0,1,0,0,1,0,1,0,2,0,0,0,2,0,1,0,2,0,2,2,2,1,0,0,0,1,2,1,0,0,1,0,1,0,0,1,0,1,0,0,1,2,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,1,1,1,0,0,0,2,1,0,1,1,0,0,1,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1 0,0,0,1,2,0,0,1,0,0,2,1,0,2,0,0,0,0,0,0,0,0,1,1,0,1,1,1,1,0,1,0,1,1,0,0,2,0,0,0,1,1,0,2,1,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,2,2,0,0,0,0,2,1,0,0,1,2,2,0,1,2,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,2,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,2,0,1,0,1,2,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,0,0,1,2,0,1,1,0,0,1,0,1,2,0,1,1,0,1,1,0,0,0,0,1,0,0,0,1,1,0,2,0,1,2,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,2,1,1,0,2,1,1,0,0,2,0,0,0,0,2,1,0,0,0,2,0,1,1,0,0,0,0,1,1,1,0,0,1,1,1,1,0,1,1,1,1,1,0,0,1,1,2,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,2,1,0,0,0,0,1,1,0,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,2,1,1,0,0,1,0,0,2,0,1,0,0,2,1,0,2,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,1,2,0,1,0,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,2,0,1,0,0,2,0,2,1,1,1,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,1,1,2,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,1,0,2,1,0,1,2,1,1,0,1,0,1,1,0,0,1,0,2,0,0,1,1,1,0,2,1,0,0,0,1,0,2,1,1,1,1,0,1,1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,2,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,2,0,2,0,2,0,0,0,2,0,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,2,1,0,1,0,1,2,0,1,1,2,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,2,2,1,1,0,0,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,1,1,2,0,0,1,0,0,0,0,2,0,0,0,2,0,0,2,0,2,0,0,0,1,0,0,1,0,0,1,1,1,0,1,1,1,0,0,0,0,2,0,0,0,0,1,1,2,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,1,2,0,1,0,1,0,1,1,0,0,0,0,1,2,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,1,0,0,1,1,1,1,0,1,1,0,0,1,1,0,2,0,1,0,0,0,1,1,0,0,0,2,1,1,0,0,0,2,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,1,1,0,0,0,0,1,0,1,1,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,1,1,1,0,1,1,1,0,0,1,1,0,0,0,1,2,1,2,0,0,0,1 2,0,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,2,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,0,0,2,0,1,0,0,0,1,0,0,1,1,1,2,0,2,0,0,1,0,2,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,1,1,2,0,0,1,0,0,0,0,1,2,0,0,1,0,2,0,0,2,1,1,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,2,1,0,1,1,2,1,0,0,1,1,0,1,1,0,1,0,0,1,0,1,0,1,2,1,0,1,0,0,0,0,0,1,1,2,1,1,1,1,1,2,1,0,0,0,1,1,1,1,1,1,0,2,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,2,1,0,0,2,1,0,0,1,1,0,1,1,1,0,0,2,1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0,1,1,1,1,0,2,0,0,0,0,0,2,0,1,2,1,0,0,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,2,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,1,0,2,1,2,1,1,2,2,1,0,2,0,0,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,2,2,0,2,0,1,1,0,1,1,0,0,0,0,1,0,0,0,2,1,2,0,2,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0,2,0,0,0,0,2,1,0,0,0,0,0,0,1,0,1,0,0,1,1,1,2,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,1,1,0,2,0,1,0,1,0,0,1,1,0,2,1,0,0,2,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,2,0,0,2,1,0,0,1,1,1,0,0,1,0,0,2,0,1,1,1,0,1,0,1,0,0,0,0,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,2,2,0,0,0,1,2,0,0,1,1,0,0,0,0,0,0,1,0,1,2,1,0,0,1,1,0,2,0,0,0,0,1,2,0,1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,1,0,1,2,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,1,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,2,1,0,0,0,0,1,0,2,0,2,0,1,1,1,0,0,0,0,0,2,1,1,1,1,2,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,2,0,0,1,1,0,0,0,1,0,1,0,0,0,1,2,0,1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,2,0,0,0,2,0,2,2,1,2,1,0,0,1,1,1,0,1,1,0,0,1,2,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,2,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,1,2,0,0,1,0,0,1,0,0,1,0,1,1,2,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,1,1,1,0,0,1 1,0,1,1,0,0,0,0,1,0,2,1,1,1,1,1,1,2,0,0,0,0,1,0,1,1,1,1,2,0,1,0,0,0,0,0,1,1,0,0,0,2,2,0,2,1,1,2,0,0,2,0,1,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,1,2,0,0,0,1,0,1,1,0,0,2,0,1,2,2,1,1,0,0,1,2,0,0,0,1,1,0,0,1,0,1,1,2,2,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0,1,1,1,1,2,0,2,0,0,0,1,0,1,0,0,0,1,0,0,0,2,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,1,1,2,1,0,0,1,1,2,0,0,0,1,0,1,2,1,1,0,0,0,0,1,0,1,1,0,1,0,0,2,2,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,2,1,0,1,2,0,1,0,0,0,0,2,0,1,0,1,0,1,1,0,0,1,0,0,0,1,1,0,1,0,1,2,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,2,1,0,0,1,0,0,1,1,1,0,1,0,2,0,2,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,2,1,0,0,0,1,2,1,0,0,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,2,0,1,0,0,0,0,1,1,0,0,0,1,1,1,2,0,2,0,0,1,1,1,0,0,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,1,2,1,2,1,0,2,1,2,1,1,1,0,1,2,1,0,1,0,0,0,0,1,0,1,2,1,0,0,2,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,2,1,0,1,1,0,0,1,0,1,0,0,2,1,0,0,0,0,1,1,2,1,0,0,0,0,0,1,1,0,2,0,0,1,0,1,0,1,0,0,1,0,0,1,2,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,1,2,0,1,0,0,1,0,1,0,0,1,0,1,0,2,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,2,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,0,0,1,2,0,2,0,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,2,0,0,0,2,0,0,0,1,0,0,1,2,0,1,0,1,0,1,0,1,1,0,0,1,0,0,2,1,0,0,0,0,2,0,1,0,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,1,1,1,1,2,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,1,0,2,2,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,1,1,1,1,0,0,2,1,1,0,1,1,0,1,1,2,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,2,1,0,1,1,2,0,0,0,0,0,1,0,2,0,2,1,2,1,1,0,0,2,0,1,1,1,0,2,0,2,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,2,1,0,0,0,0,1,1,1,2,0,0,0,0,1,2,1,1,0,0,1,0,0,1,1,1,0,1,2,2,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,2,0,1,1,0,1,0,0,2,0,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1,2,0,0,0,0,0,0,1,1,2,0,1,0,0,0,0,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,1,1 0,0,0,2,0,0,0,0,1,2,1,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,2,0,2,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,2,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,2,2,1,1,1,1,1,0,0,0,0,2,0,0,1,0,2,0,0,1,1,2,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,2,2,2,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,2,2,1,0,2,0,1,0,1,1,0,0,0,1,0,2,0,0,0,0,2,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,2,0,1,1,2,0,0,1,1,1,0,0,1,1,2,0,0,1,0,0,1,0,0,2,1,0,1,1,1,0,1,0,0,2,1,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0,2,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,2,1,1,2,2,1,0,0,0,2,2,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,2,0,0,1,0,1,0,1,0,1,0,0,0,0,1,1,0,1,1,2,1,0,0,1,0,1,0,0,0,1,1,0,2,0,0,2,0,0,2,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,2,0,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,1,2,1,2,2,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,2,1,0,1,2,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,1,0,2,0,2,1,1,2,1,1,1,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,2,2,1,1,0,1,0,0,1,1,1,2,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,1,2,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,1,1,1,2,1,0,2,1,0,0,0,1,1,0,1,1,0,0,2,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,1,0,2,1,0,0,0,1,0,0,0,0,0,2,2,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,2,2,1,1,0,2,0,1,0,2,1,2,0,1,0,0,1,2,0,0,1,0,0,0,0,2,1,1,1,0,0,0,1,1,1,1,2,1,1,1,1,0,0,1,1,1,0,1,2,0,2,0,2,0,1,2,2,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,1,0,0,1,0,1,0,1,2,1,0,1,2,1,2,1,0,2,0,2,1,0,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,1,1,2,1,2,1,1,0,2,0,0,2,0,1,0,0,1,1,0,1,1,0,0,0,1,1,1,1,1,0,2,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,2,0,0,1,0,0,0,0,0,1,0,1,0,0,1,2,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,0,0,1,0,1,2,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1 0,0,0,1,1,0,1,0,0,1,1,0,0,2,0,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,2,0,0,0,1,1,0,0,0,1,1,0,1,2,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,2,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,2,2,0,0,1,2,0,0,0,0,0,0,1,1,0,1,0,1,1,0,1,1,2,0,0,0,1,0,1,0,2,0,1,0,1,0,2,0,0,0,0,0,0,0,0,2,2,1,0,0,1,0,0,1,0,0,1,2,0,1,1,1,1,2,1,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,2,0,0,1,0,2,0,0,1,0,0,1,1,1,0,1,0,1,1,0,1,1,0,2,0,0,2,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0,2,0,1,0,2,1,0,0,0,1,0,0,2,1,1,0,0,0,1,1,1,2,1,2,1,1,0,0,1,0,0,0,1,1,2,2,0,0,1,2,0,1,1,1,1,0,0,0,0,1,1,2,0,0,0,2,0,0,1,2,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,0,2,2,0,0,0,0,0,1,2,0,1,0,0,0,1,0,0,1,0,1,1,2,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,2,0,1,0,0,2,0,0,0,0,0,0,1,1,0,2,1,1,0,0,0,0,1,0,0,2,1,0,0,2,0,0,0,0,0,1,2,2,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,1,0,0,1,1,0,1,0,1,0,1,1,2,0,2,0,1,0,0,1,2,1,1,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,2,0,0,1,0,0,0,0,1,1,0,0,0,0,2,1,0,1,1,2,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,2,0,2,0,1,0,0,1,0,0,1,1,0,0,2,0,0,0,0,0,0,0,0,2,1,0,0,1,1,2,0,0,1,0,0,0,1,2,0,0,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,2,1,0,0,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,2,0,1,1,0,1,0,0,0,1,0,0,0,0,2,0,1,1,2,0,0,0,0,2,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,1,1,0,0,1,1,1,2,0,2,0,0,0,0,1,1,1,0,1,0,0,1,0,1,2,0,0,0,0,2,0,1,0,2,0,0,0,1,1,0,1,0,0,0,0,0,0,2,1,2,2,1,0,0,1,0,2,0,1,0,1,0,0,0,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,2,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,2,0,0,1,1,1,1,0,0,1,0,0,1,0,1,2,1,1,0,0,2,0,1,0,0,1,0,1,0,1,2,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,2,1,0,1,1,1,0,2,1,2,2,0,0,0,1,0,0,0,0,1,2,1,0,1,0,1,1,0,0,0,0,1,1,1,0,0,2,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,2,0,0,1,0,0,0,0,1,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,2,0,0,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,2,0,0,1,1,1,0,0,1,0,1,2,0,1,1,0,0,0,0,0,2,0,0,1,0,0,1,0,0,1,1,0,1 1,0,1,1,1,0,0,0,2,0,2,2,0,0,1,0,0,1,2,0,0,0,0,0,1,1,1,1,0,1,1,0,2,0,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,1,1,1,1,2,0,2,0,1,1,0,0,0,0,1,2,0,1,0,0,1,1,1,0,0,0,0,0,1,0,1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,2,1,1,0,1,1,2,1,1,0,0,0,0,0,0,1,2,0,1,1,1,0,0,0,0,2,1,0,0,1,2,1,0,2,1,0,0,1,0,0,0,1,1,0,0,0,0,0,2,0,0,0,1,2,0,1,2,1,1,0,2,0,0,0,1,0,1,1,1,1,1,1,0,1,0,2,0,0,0,0,1,2,0,0,1,0,2,0,0,1,1,0,0,1,0,0,1,2,0,2,0,0,2,2,2,1,0,0,0,1,0,0,0,0,2,1,2,0,1,0,1,0,0,2,0,1,1,1,0,2,0,0,1,0,2,0,0,0,0,1,1,0,0,0,0,0,0,2,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,1,2,0,1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,2,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,1,1,1,0,1,0,2,1,1,2,0,2,1,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,1,0,2,2,1,0,0,0,0,1,0,0,0,0,2,0,0,2,0,0,1,1,0,1,0,0,1,0,0,1,0,1,2,0,0,2,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,2,0,1,1,0,0,1,0,2,0,1,2,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,2,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,1,1,2,0,0,1,1,1,0,0,0,2,0,0,0,0,0,0,0,2,1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0,2,0,0,0,0,0,0,1,0,1,2,2,1,1,2,0,1,0,0,0,0,1,0,1,1,0,0,0,1,1,2,1,0,1,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,1,1,0,0,1,0,1,0,2,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,2,0,2,0,1,1,2,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,2,2,0,2,1,2,0,1,0,0,0,2,0,0,1,1,1,1,2,0,1,1,1,0,1,0,0,1,0,0,2,0,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,2,0,0,0,1,0,1,0,2,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,2,1,1,0,0,2,0,0,0,0,1,1,1,0,2,1,1,0,1,2,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0,1,2,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,1,2,0,2,1,2,1,0,0,0,2,1,2,0,0,1,1,1,0,0,2,1,2,0,1,0,0,1,1,1,0,0,2,0,1,0,0,0,1,0,1,0,2,0,0,1,1,0,0,1,0,1,2,1,0,0,1,1,0,0,0,0,1,0,2,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,2,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,1,0,1 1,0,2,2,0,0,0,1,0,0,2,1,1,0,0,1,1,1,0,0,0,0,1,1,1,0,2,1,0,1,0,0,2,1,0,0,1,2,1,0,1,0,2,0,2,0,0,1,1,2,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,2,0,0,2,1,0,0,2,0,0,0,0,1,1,1,2,0,1,0,1,0,1,0,2,0,1,2,0,0,1,0,1,2,0,0,0,2,0,0,0,2,1,1,0,2,0,1,0,0,0,2,0,0,1,0,0,1,1,2,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,0,2,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,2,0,0,0,2,1,1,0,0,0,1,0,1,2,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,2,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,0,1,1,1,1,1,1,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,2,0,0,0,1,1,0,1,1,2,0,0,0,1,0,1,1,0,0,0,1,0,2,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0,2,1,0,0,0,1,0,2,0,0,1,0,2,0,1,0,1,1,0,1,0,0,2,2,0,1,0,0,0,1,1,1,0,0,1,0,1,1,0,0,2,1,2,0,0,0,0,2,0,1,1,1,1,2,1,0,1,1,0,0,1,1,2,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,1,2,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,1,0,2,0,0,1,2,1,0,0,2,0,0,1,0,2,0,1,1,1,0,0,1,2,1,0,1,0,1,0,1,0,0,0,1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,2,0,0,2,0,2,0,0,1,0,0,0,1,0,1,1,0,1,0,0,2,1,0,1,0,0,1,1,0,0,0,2,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,2,0,1,0,2,2,1,1,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0,0,1,1,0,2,2,0,1,0,1,0,1,1,1,0,0,0,0,0,0,1,2,0,0,0,2,0,1,0,2,1,0,0,1,0,0,2,0,1,2,1,0,1,0,1,2,0,1,1,1,0,0,2,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,2,1,2,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,2,0,1,1,1,1,0,1,2,0,0,0,0,0,2,0,1,0,0,1,1,0,0,2,0,0,2,1,1,0,1,1,0,2,1,0,1,0,0,1,2,0,1,0,2,1,1,1,1,0,0,1,0,2,1,0,2,0,0,0,1,2,0,1,0,0,1,1,1,0,0,2,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,2,1,2,1,0,0,0,0,0,0,1,2,0,0,0,0,0,1,1,0,2,2,2,0,0,2,0,1,0,2,1,1,0,2,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,2,0,0,0,1,1,2,1,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,1,2,0,2,0,0,2,0,2,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,2,1,1,0,0,0,1,0,0,1,0,0,1,1,1,1,1,0,2,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0,2,0,0,1,1 2,0,0,1,1,0,1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0,2,0,1,0,0,0,0,2,0,0,0,2,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,2,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,2,0,0,0,1,1,0,0,0,1,0,1,1,1,0,0,0,0,2,1,1,0,1,1,0,1,1,2,1,1,0,2,0,0,0,1,1,2,1,0,2,0,2,2,0,0,1,2,0,1,0,0,2,0,2,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0,1,0,1,2,2,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,2,0,1,2,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,2,0,1,0,1,1,1,2,0,1,0,1,1,2,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,2,1,1,0,1,0,1,0,1,0,1,0,0,1,2,0,0,1,2,0,0,1,1,1,1,0,0,0,1,2,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,1,2,2,0,0,0,0,0,1,1,0,1,1,0,1,2,0,0,1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,2,0,0,0,2,1,0,0,0,0,0,0,0,1,0,0,0,1,1,2,1,1,0,0,0,0,0,0,1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,2,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,1,2,0,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0,1,1,2,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,2,0,0,0,1,1,0,2,0,0,0,1,2,0,0,0,1,0,0,0,1,1,2,1,0,0,0,0,0,1,2,1,0,1,1,0,0,2,0,0,1,0,1,1,0,2,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0,0,2,1,0,1,0,0,0,0,0,0,2,0,0,1,1,1,1,0,0,0,0,0,2,0,1,0,0,2,2,0,0,1,2,1,2,1,1,0,1,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,1,1,0,0,0,0,1,0,1,0,0,0,2,1,0,0,1,2,1,0,2,1,0,0,0,0,0,2,2,0,2,0,0,2,0,2,0,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,1,2,1,1,0,0,1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,1,2,0,0,0,0,0,2,0,0,1,1,2,1,1,0,0,0,0,0,0,0,0,1,1,0,0,2,0,0,0,0,1,0,0,1,0,0,2,0,0,0,1,0,0,1,0,2,2,1,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,1,0,2,0,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0,2,2,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,2,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,1,2,0,2,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,2,0,1,1,1,0,2,2,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1 1,0,1,0,1,0,0,0,0,1,1,0,0,2,0,0,0,0,1,0,0,0,1,2,0,0,1,1,0,1,0,0,1,0,1,0,2,0,1,0,2,1,0,1,1,2,0,1,0,0,1,0,0,0,2,1,0,1,1,2,0,0,0,1,0,1,0,1,1,1,1,0,1,2,0,0,0,2,0,0,0,0,2,1,1,2,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,1,1,2,2,0,0,0,1,0,1,1,1,1,1,0,1,2,1,1,0,0,1,0,1,2,2,0,1,1,1,1,1,0,0,0,1,2,0,1,0,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,2,2,0,2,1,1,0,0,2,0,1,1,1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,2,1,0,0,2,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,1,0,1,0,1,2,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,2,0,0,2,0,0,0,1,1,0,0,0,1,0,2,1,0,0,0,0,1,1,1,0,0,0,0,0,2,1,1,1,0,1,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,2,0,0,0,0,0,2,1,1,1,0,2,1,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,2,1,1,1,1,0,2,0,1,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,1,2,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,2,1,0,1,0,1,0,1,0,2,0,0,0,1,0,0,0,1,1,1,2,1,0,0,0,2,0,2,1,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,1,0,1,1,0,2,1,0,0,0,1,1,0,0,1,2,1,0,1,0,0,2,0,0,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,2,0,0,0,2,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,1,1,0,1,0,0,0,1,1,1,2,0,1,0,1,0,0,2,1,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,2,0,0,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0,2,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,2,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,1,0,1,0,0,0,1,1,1,0,1,0,2,0,1,0,2,0,0,0,1,2,0,1,1,0,1,1,0,0,0,0,1,0,2,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,2,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,1,2,0,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,2,0,1,1,1,0,0,0,0,2,0,2,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,2,1,0,1,1,0,1,0,0,1,2,0,0,2,2,1,1,0,0,0,0,1,0,0,0,1,0,1,2,0,0,0,0,1,0,1,1,0,0,0,1,0,0,2,0,2,0,1,0,0,1,0,1,0,2,2,1,2,0,0,0,0,1,0,0,0,0,1,2,1,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,1,1,1,0,0,0,1,2,1,0,1,1,0,0,0,0,1,0,1,0,2,1,1,1,0,0,0,0,0,1,1,2,0,1,1,0,0,0,0,2,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,2,1,0,0,0,0,0,0,0,2,0,1,0,1,1,1,0,0,1,0,2,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1 1,0,2,1,0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,2,1,0,1,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,2,0,2,0,2,1,0,2,1,1,0,0,0,0,1,1,0,0,2,0,0,0,0,0,1,0,0,1,1,0,2,0,1,0,1,2,1,0,0,0,0,1,1,0,0,2,0,2,0,0,2,1,0,2,1,0,0,0,1,2,2,0,0,0,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0,2,0,0,0,0,0,0,1,0,1,1,2,1,0,0,1,1,0,0,0,1,0,0,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,2,2,0,0,0,2,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,2,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,1,0,2,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,2,1,1,2,0,1,0,0,0,0,1,2,0,0,0,0,1,2,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,2,0,2,1,1,0,0,0,2,1,0,1,0,0,2,0,0,0,0,1,2,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,1,1,2,0,1,0,0,0,0,0,0,0,1,2,1,0,0,2,0,0,0,1,1,2,0,0,1,1,0,2,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,2,1,1,1,0,1,0,0,1,1,1,1,0,2,1,0,1,2,0,1,0,1,0,0,0,1,1,1,1,2,0,2,2,1,0,2,0,0,1,1,1,0,0,1,1,2,0,1,1,0,1,0,1,2,0,0,1,0,1,2,1,1,1,1,0,2,0,0,1,0,0,0,1,0,0,2,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,2,1,0,0,0,0,2,0,0,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,1,0,1,0,0,2,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,2,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,1,1,2,1,1,1,2,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,1,1,1,0,0,2,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,2,2,0,0,0,1,0,0,0,2,1,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,2,0,0,1,1,1,1,1,1,2,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,2,1,0,1,1,0,1,0,1,0,1,0,0,1,0,2,0,2,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,2,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,2,0,0,1,1,0,1,1,1,1,0,0,1,0,0,1,1,1,0,1,0,2,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,2,1,1,0,0,1,1,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,1,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,2,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,2,0,0,0,0,1,0,0,0,1,0,2,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,1,1,0,0,1 2,0,0,2,1,0,0,0,0,1,1,0,0,2,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1,2,0,2,0,0,0,1,0,1,0,0,0,0,1,0,1,1,1,2,0,0,1,2,0,0,0,2,0,0,1,0,0,0,2,0,1,2,0,0,0,1,1,2,1,1,0,0,0,1,1,1,1,0,1,1,0,0,1,0,1,2,0,0,1,1,0,1,0,2,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,2,0,1,2,0,1,2,0,2,1,0,0,0,1,0,0,0,1,2,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,2,0,0,2,1,1,1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,2,0,0,1,0,0,0,1,1,0,0,0,2,1,1,1,1,2,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,1,0,2,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,2,0,0,1,0,0,1,0,0,0,0,0,0,2,0,1,1,0,0,1,1,1,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0,2,0,1,0,1,0,0,1,0,1,1,1,1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,2,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,1,0,1,2,1,0,0,1,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,2,0,1,1,0,0,1,1,1,0,1,0,1,2,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0,1,2,1,0,1,1,0,1,0,2,1,0,2,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,0,2,1,0,1,0,1,1,0,0,1,2,0,2,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,0,0,1,1,0,1,0,2,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,2,0,0,1,0,2,1,1,1,0,0,2,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0,1,1,0,1,2,0,0,0,0,2,0,0,1,2,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,1,0,0,2,2,2,1,1,0,0,1,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,2,1,0,1,0,0,2,0,2,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,2,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,2,0,0,1,0,0,1,2,0,0,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,1,2,1,1,0,2,0,1,0,0,1,1,1,1,1,0,0,2,1,1,0,0,0,0,2,1,0,0,0,0,1,2,0,0,0,1,1,1,0,0,1,0,1,1,2,1,2,1,0,1,0,2,1,0,0,0,2,0,0,1,1,2,0,0,0,0,1,0,2,2,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0,1,0,2,0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,1,1,1,0,0,0,2,0,0,0,1,0,1,0,2,0,2,0,0,0,0,1,0,0,1,1,1,2,0,0,1,1,1,1,1,0,0,1,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1 2,0,2,2,0,0,0,1,1,0,1,1,0,2,1,0,0,0,1,0,0,1,1,1,1,1,0,2,1,0,0,0,2,0,0,0,0,0,1,1,0,2,1,2,0,0,0,1,1,1,1,0,0,0,2,0,0,2,0,1,0,0,1,1,1,1,1,1,2,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,2,1,0,1,1,2,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,2,1,1,1,2,2,1,0,1,0,0,1,1,0,0,0,1,1,1,2,0,0,0,1,1,0,0,2,0,1,0,2,0,0,1,0,1,1,1,0,0,2,0,1,1,1,2,0,0,0,0,0,0,0,2,0,0,0,0,1,1,1,2,2,2,0,0,1,0,1,0,1,0,0,0,1,0,1,0,2,1,1,1,0,1,1,2,1,1,0,1,0,0,2,1,0,1,0,0,0,0,0,1,1,1,1,0,0,2,0,1,0,0,2,0,1,0,1,0,1,1,0,0,0,0,0,1,1,0,2,1,1,0,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,2,1,0,0,1,2,1,0,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,1,2,1,0,0,0,2,0,1,1,0,0,0,0,1,2,1,0,1,1,2,1,0,0,1,0,0,1,2,0,0,0,0,0,0,1,1,1,1,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,1,2,0,0,0,0,0,0,1,1,1,2,0,1,0,0,1,1,1,0,0,2,1,0,1,2,0,0,0,1,1,0,2,0,0,2,1,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,2,0,1,1,1,1,0,1,0,1,0,0,1,0,2,0,0,2,0,0,2,0,1,0,0,1,2,0,0,2,1,0,1,1,0,1,0,1,0,0,2,2,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,2,0,0,0,2,0,1,0,0,1,1,0,1,1,0,0,2,0,0,2,1,0,1,0,0,1,0,0,2,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,2,1,1,2,0,1,1,0,0,1,0,2,1,1,1,2,1,0,1,0,2,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0,2,0,1,0,1,1,0,2,1,0,0,1,1,0,2,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,2,2,1,2,1,0,0,0,1,0,1,0,0,0,1,0,1,0,1,2,0,0,0,0,0,0,0,1,0,0,1,0,2,2,0,1,0,1,0,0,0,0,1,2,0,0,2,0,1,0,1,0,0,0,1,0,2,0,0,1,0,2,1,0,1,0,0,1,2,1,0,2,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0,1,2,0,0,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,2,0,1,1,0,0,0,0,0,0,0,1,0,2,1,0,0,0,2,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,2,1,2,2,0,0,0,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,2,0,0,1,0,2,0,0,1,1,1,0,0,1,0,1,0,1,1,1,1,0,1,1,0,0,1,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,2,1,0,1,0,0,0,2,1,0,0,1,1,0,0,1,0,0,0,0,2,1,1,0,2,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1 0,0,1,1,1,2,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,2,1,0,1,2,0,0,1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,2,0,0,1,0,2,0,1,1,0,2,0,1,0,1,0,1,0,2,1,0,0,0,0,1,0,1,1,0,0,2,1,0,1,1,0,1,0,1,2,0,0,1,1,1,1,0,0,0,1,2,0,0,1,2,0,1,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,2,0,0,0,1,2,2,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,2,2,0,2,1,1,0,0,1,1,1,1,2,1,0,0,1,0,2,2,1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,0,0,2,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,2,2,1,1,1,0,0,0,0,0,0,0,0,2,1,1,0,1,1,1,1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,1,0,0,2,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,2,0,0,1,0,0,1,0,0,2,0,1,0,0,1,0,0,0,0,1,0,0,1,1,1,1,0,2,0,0,0,1,1,0,0,1,0,1,1,1,0,0,2,0,1,0,2,0,1,0,0,2,1,0,1,0,1,2,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,2,0,0,2,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,2,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,1,0,2,2,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,1,1,2,2,1,0,1,0,2,0,1,1,1,2,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,1,2,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,2,0,0,0,0,0,0,1,2,0,2,1,0,0,1,1,0,2,1,0,0,2,0,1,0,0,0,0,2,0,0,2,0,0,0,0,1,2,0,1,0,0,1,0,2,0,0,0,1,0,1,2,1,1,2,1,2,0,0,0,0,0,2,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,1,1,1,1,2,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,2,1,0,0,1,0,1,0,0,2,1,0,0,0,2,1,1,1,0,0,1,0,0,0,0,1,1,0,0,2,0,0,0,1,2,0,0,1,0,0,0,0,1,0,2,0,0,1,0,0,2,0,1,1,1,2,0,1,0,1,0,2,1,1,1,1,0,1,2,2,1,2,0,0,0,1,0,2,0,0,1,0,0,1,0,2,0,0,0,1,1,0,1,0,1,1,1,1,0,0,0,1,1,1,2,1,2,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,2,1,0,0,1,2,0,0,1,0,1,0,0,0,1,0,1,0,1,0,1,1,1,2,1,0,0,2,2,0,0,0,0,0,0,1,1,0,0,0,1,1,1,2,0,0,0,0,0,1,1,2,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,2,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,1,0,1,1,1,0,2,0,1,1,0,0,0,0,0,0,0,0,0,1 1,0,1,2,1,0,0,0,0,1,2,1,0,1,1,1,0,1,1,0,0,0,1,0,0,2,0,1,0,0,2,0,0,1,0,0,1,1,1,0,1,2,2,0,0,0,0,1,1,0,0,0,0,0,2,0,2,2,0,0,0,0,0,1,1,1,1,1,2,2,2,0,0,1,1,0,0,1,1,0,0,0,0,2,0,1,0,0,2,1,1,0,1,0,1,0,0,0,2,0,0,2,0,1,1,1,0,2,0,0,0,0,0,1,1,1,0,2,1,2,0,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0,1,0,2,1,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,2,0,1,1,0,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,2,1,0,0,1,0,0,0,1,0,1,2,0,0,1,0,1,2,0,0,0,2,0,0,0,1,0,1,2,0,0,1,2,2,1,2,0,2,0,0,1,1,1,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,2,0,0,2,1,0,1,2,1,0,0,0,0,0,2,0,1,0,0,1,0,0,1,0,0,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,1,1,0,1,1,0,0,2,1,0,0,0,1,2,0,1,1,0,1,0,2,2,2,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,2,0,0,1,0,2,0,1,0,1,1,1,0,0,1,2,0,0,0,1,1,2,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,2,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,0,0,2,0,0,1,1,0,0,1,0,1,1,1,1,0,1,2,0,0,2,1,0,0,0,2,0,2,1,1,0,0,0,1,0,0,1,0,1,1,1,2,0,0,0,1,1,1,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,2,0,0,0,2,0,0,0,1,0,0,1,0,2,1,0,2,1,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,2,0,1,0,0,0,1,0,1,1,2,0,1,0,0,0,0,2,1,1,1,0,0,2,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,1,2,1,1,0,0,1,0,1,0,0,1,0,1,2,1,0,1,0,0,0,1,1,0,1,0,0,1,0,2,2,2,1,0,0,0,1,0,0,1,0,1,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,2,0,0,0,0,2,1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,2,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,0,2,0,2,1,0,1,0,1,0,1,0,2,0,0,0,0,0,0,1,1,1,0,2,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,1,1,1,0,2,1,0,2,1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,2,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,1,2,1,0,1,1,2,0,1,1,0,0,0,1,2,0,1,1,1,1,1,1,1,0,0,0,0,1,2,0,0,2,1,0,0,0,1,0,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,2,0,1,2,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,1,1,0,1,0,0,2,1,0,1,1,2,0,1,0,2,1,0,1,1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,2,1,1,1,0,0,1,0,0,1,1,0,2,0,1,1,0,2,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,1 0,0,0,1,2,0,0,2,2,1,2,1,0,1,0,1,1,0,0,0,0,0,1,1,0,1,2,1,0,1,2,0,0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,2,1,1,0,0,0,0,2,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,2,1,1,1,0,0,1,2,1,0,0,0,0,0,1,1,2,1,0,1,1,0,0,0,0,0,0,1,1,1,1,0,0,1,0,2,1,1,0,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0,0,1,1,2,1,0,0,1,0,0,0,0,2,1,1,1,1,0,0,0,0,0,2,0,1,0,0,0,0,0,2,1,1,0,0,2,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,1,0,1,1,1,1,2,0,0,0,0,2,0,0,2,1,2,2,1,0,1,2,1,0,1,2,0,0,0,1,2,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,2,0,1,1,1,0,1,0,0,0,1,1,0,0,2,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,1,1,1,1,0,0,1,0,0,0,2,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,1,1,1,0,1,0,0,0,1,2,0,2,0,2,1,0,2,0,1,1,0,0,0,0,0,1,0,0,0,1,2,0,1,0,0,1,1,1,1,0,0,0,0,0,0,1,1,1,2,0,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,2,2,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,2,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,2,2,0,1,1,0,0,1,2,1,0,1,0,0,1,0,2,1,0,0,0,0,1,1,1,1,1,2,0,1,2,0,0,1,0,0,2,0,0,1,2,0,2,2,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,1,1,1,2,1,0,1,1,0,1,2,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,2,1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,1,1,2,1,0,0,0,1,0,2,0,1,1,0,0,1,0,1,0,1,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,2,2,1,1,1,1,1,0,2,1,0,0,1,1,0,2,1,1,0,0,0,1,1,2,0,2,1,1,1,1,2,0,1,0,0,0,0,0,2,2,0,0,0,0,0,1,0,1,1,0,2,1,1,2,0,0,0,1,0,0,2,0,1,1,1,1,0,1,0,0,1,1,0,1,2,2,1,0,2,1,1,1,0,0,1,0,0,0,0,1,2,0,1,1,1,0,0,0,1,0,0,0,2,0,0,2,0,0,1,0,2,1,0,0,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,2,0,0,0,2,0,0,1,2,0,1,0,0,0,0,1,0,0,0,0,2,0,1,0,0,2,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0,0,0,2,1,0,0,0,1,2,0,0,0,2,1,0,0,0,1,1,0,1,1,0,0,1,0,2,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0,2,1,1,2,1 0,0,1,0,1,0,0,1,0,0,0,1,0,0,2,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,2,0,0,1,1,0,0,0,1,2,0,2,1,0,0,0,0,0,0,0,0,1,1,1,0,0,2,0,0,1,0,1,0,2,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,2,0,1,1,0,0,2,0,0,1,1,0,1,0,0,2,0,1,2,0,0,0,1,0,1,0,0,0,0,1,0,2,1,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,2,1,0,1,0,2,0,1,0,0,0,0,1,0,2,1,0,0,0,0,0,1,0,0,1,1,0,1,2,1,1,0,1,1,1,0,2,0,0,0,2,1,0,0,0,0,1,1,1,1,2,1,1,0,1,0,2,1,0,1,0,0,0,1,0,1,0,0,0,2,1,1,1,2,0,0,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,2,1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0,0,2,1,1,2,0,0,0,0,1,1,0,0,0,2,0,0,2,1,1,1,1,1,0,1,0,1,2,0,0,0,0,0,1,0,0,0,1,0,0,0,2,1,0,0,2,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,0,1,1,1,1,0,2,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,2,0,1,2,1,0,1,1,1,2,0,0,0,1,0,0,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,2,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,2,0,0,0,0,1,1,0,0,0,2,1,1,0,0,0,1,1,0,0,1,1,2,0,2,1,0,0,0,0,0,0,1,0,0,2,0,1,1,0,1,0,0,2,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0,2,1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,2,1,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,0,1,1,2,0,0,0,1,1,0,2,1,1,0,0,0,2,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,1,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,1,2,0,0,1,2,0,1,0,0,0,1,1,1,2,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,2,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0,1,0,1,1,1,2,0,1,0,1,0,1,1,1,2,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,2,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,1,0,0,1,1,1,0,0,0,0,2,1,1,1,1,0,1,0,1,1,0,1,0,2,0,0,1,0,1,0,0,1,2,0,1,0,0,0,1,1,1,0,0,1,0,1,1,1,2,0,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,1,2,0,0,1,0,0,1,0,0,0,0,1,0,0,2,1,0,1,1,0,1,1,1,2,1,1,0,2,0,0,2,1,1,1,1,2,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1 1,0,1,2,0,0,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,2,0,1,1,0,0,0,1,0,1,0,0,1,0,0,2,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,1,0,2,0,1,1,0,0,1,2,1,0,1,0,0,0,0,0,0,1,0,1,0,2,1,0,0,1,0,1,0,2,1,2,0,0,1,2,0,0,1,1,2,1,1,1,0,1,1,0,0,0,1,1,2,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,2,1,1,0,0,2,0,0,0,0,1,1,0,2,0,0,2,1,1,0,1,1,0,1,1,1,1,0,0,0,0,2,0,0,0,1,0,0,0,0,1,1,0,2,1,1,1,1,0,0,0,2,0,0,1,1,0,0,1,0,0,0,1,0,2,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,1,2,1,1,0,0,0,1,0,2,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,1,0,1,0,1,2,1,1,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,2,1,1,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,2,0,0,2,1,2,0,0,2,0,0,2,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,1,1,2,1,0,1,2,1,0,1,1,0,2,0,0,0,0,1,0,1,0,0,1,2,0,0,1,0,1,0,0,0,0,0,0,0,2,1,1,0,0,1,0,1,1,0,0,0,0,0,2,0,0,1,2,0,1,0,0,0,0,1,0,0,0,1,0,0,2,1,1,1,0,1,2,0,0,0,0,1,0,0,0,0,2,0,1,0,1,0,0,1,0,0,2,0,1,1,0,1,1,0,0,1,1,1,0,1,2,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0,2,0,0,0,0,1,0,0,1,2,0,0,1,0,1,0,0,0,0,2,0,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,2,2,0,1,0,1,1,0,1,1,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,2,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,2,0,1,1,0,0,0,2,0,0,0,0,0,1,1,0,1,1,0,1,1,2,2,1,0,0,0,0,1,0,1,0,0,1,0,0,2,1,1,0,1,2,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,2,2,0,0,1,0,0,2,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,1,1,2,0,0,0,0,0,1,2,0,0,2,0,0,0,0,1,2,0,1,1,1,1,0,1,0,0,0,2,2,0,0,1,1,0,0,0,2,1,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,1,1,1,0,0,0,0,2,1,1,1,1,0,0,1,1,0,1,2,0,1,0,1,0,1,0,0,0,0,0,1,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,2,0,1,0,0,1,0,0,0,0,1,2,1,0,0,0,0,1,1,0,0,1,0,0,2,0,0,0,0,1,0,0,1,1,0,2,1,1,0,2,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,2,0,0,1 1,0,0,0,0,0,0,1,0,2,1,1,1,1,0,1,0,1,1,0,0,2,0,0,1,1,1,0,1,1,0,0,1,1,2,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,2,2,0,0,0,0,0,1,1,0,0,0,0,0,2,2,1,1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,2,0,0,1,0,0,1,0,0,2,1,0,1,2,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,2,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,2,1,0,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,2,0,2,0,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,2,2,0,0,0,1,0,2,1,0,1,1,0,0,1,2,1,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,2,1,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,2,1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,1,1,0,0,1,1,0,1,2,1,1,0,1,1,2,1,0,0,0,1,0,1,2,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,1,1,2,1,0,0,0,1,1,1,1,0,1,1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,2,0,2,1,1,0,2,1,1,0,0,0,1,1,0,1,1,0,1,0,2,2,0,1,0,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,1,2,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,2,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,2,2,0,1,0,1,0,1,1,1,0,1,1,0,0,1,2,1,0,2,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,2,0,0,1,0,1,1,1,0,0,0,0,0,0,2,0,1,0,0,0,0,2,1,0,1,1,1,0,1,0,0,0,0,1,1,2,0,1,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,2,0,0,0,0,0,1,2,0,0,1,0,2,1,1,0,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,1,1,0,2,1,2,1,1,1,2,0,0,0,0,1,0,1,1,0,0,2,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0,1,1,2,0,1,0,1,1,0,0,2,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,1,1,2,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0,1,2,1,1,2,1,1,1,0,0,0,0,0,0,2,2,1,0,2,1,1,0,0,0,1,0,0,0,0,2,0,1,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,2,0,0,0,0,1,0,2,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,2,0,0,0,0,1,0,1,0,0,0,1,2,0,0,0,0,0,1,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,2,0,0,0,1,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,2,1,1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1 1,0,0,0,1,1,0,0,0,1,2,1,0,0,1,0,0,0,0,0,0,1,0,0,1,2,0,1,0,0,1,0,1,0,1,0,2,1,0,0,2,1,1,1,0,0,0,1,0,0,2,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,1,2,2,1,0,0,0,1,2,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,2,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,2,0,1,0,0,0,0,0,1,1,0,0,1,2,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,2,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,2,1,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,2,1,0,0,1,0,0,0,2,1,0,0,1,1,0,0,2,0,0,0,0,0,0,1,0,1,2,2,0,0,1,1,0,2,1,1,0,0,2,0,1,0,0,0,0,1,1,1,1,1,0,0,1,1,0,2,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,1,2,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,2,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0,2,1,1,0,0,1,1,0,1,1,1,0,0,1,1,1,1,1,1,0,0,1,1,2,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,2,1,0,1,1,1,2,0,0,1,1,1,0,0,1,1,1,2,0,0,2,0,1,0,0,1,1,0,1,0,0,1,1,0,2,1,0,2,1,1,1,0,1,0,0,0,1,1,2,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,0,0,2,0,0,0,1,0,2,1,2,0,0,0,0,1,2,2,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,2,0,0,0,1,0,1,0,1,0,0,0,1,0,1,1,1,0,0,2,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,2,2,0,1,0,1,1,1,1,1,2,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,2,0,1,0,1,2,1,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0,2,1,2,0,2,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,2,0,0,0,1,1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,2,1,1,0,2,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1,1,2,0,1,1,2,1,0,1,2,1,1,2,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,2,0,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,2,2,0,1,2,0,0,0,1,1,1,1,1,1,1,0,0,0,0,2,0,0,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,2,0,0,0,0,0,2,1,1,0,2,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,2,1,2,0,0,1,1,1,0,0,0,1,0,1,2,0,0,0,2,0,1,0,1,0,2,0,0,0,0,0,0,0,0,1,0,1,1,1,1,2,1,2,0,0,1,0,0,0,2,0,1,0,0,0,0,1,0,2,1,0,1,1 2,0,0,1,0,0,0,1,2,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,2,2,0,0,1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,2,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,2,0,0,1,1,0,1,0,0,2,1,0,0,1,2,0,1,1,0,1,0,0,0,0,0,0,0,2,2,2,1,1,0,0,0,1,0,1,0,0,0,0,2,1,0,0,2,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,2,0,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,1,0,1,2,0,0,1,0,0,1,1,2,2,0,2,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0,1,1,2,1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1,2,2,2,0,2,1,0,0,1,0,0,2,0,1,2,1,1,0,1,1,2,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0,1,2,0,0,0,0,0,1,1,2,0,1,0,0,0,0,0,1,0,1,1,0,1,1,0,2,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,2,1,1,0,1,0,1,1,1,1,2,0,0,0,2,0,0,0,2,1,0,0,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,2,1,0,0,1,1,2,0,0,1,0,0,2,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,1,1,2,0,0,2,0,0,0,0,0,0,1,2,0,0,1,0,1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,2,0,0,1,0,0,0,0,1,0,0,0,2,1,2,1,1,1,0,1,0,0,0,1,1,1,0,2,0,0,0,2,0,1,0,1,1,1,0,1,0,1,0,1,1,1,2,1,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,1,0,0,1,1,0,1,2,0,0,0,2,0,0,0,2,0,1,1,1,0,1,1,1,0,1,1,1,0,2,0,0,2,1,2,0,2,0,1,0,0,0,0,0,0,0,1,1,1,0,2,2,2,0,0,0,2,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,2,1,1,1,0,2,0,2,0,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,2,0,1,1,1,0,0,1,1,2,0,1,1,1,0,1,1,0,0,0,2,0,1,0,0,1,2,1,1,0,0,0,0,1,2,1,2,0,0,0,0,0,1,1,0,1,0,2,0,0,0,0,0,0,1,1,0,1,1,1,1,0,1,0,2,1,0,1,0,1,0,1,1,1,0,1,0,2,1,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,1,2,1,0,0,0,1,0,1,1,1,1,0,1,1,0,2,1,0,0,0,0,0,1,0,0,1,0,1,1,2,0,1,1,0,0,0,1,1,0,1,2,0,2,1,0,0,2,1,2,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,2,1,2,0,0,0,1,1,1,0,2,1,2,0,0,0,1,0,1,0,2,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,2,0,0,1,1,0,1,1,2,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,1,1,1,0,1 0,0,1,0,2,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,1,2,1,1,1,1,0,0,1,0,0,1,1,0,1,1,0,1,2,1,0,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,0,1,1,1,1,2,0,0,0,0,0,1,0,0,2,1,1,0,2,0,0,0,0,0,0,0,0,0,1,1,1,0,1,2,0,0,0,1,1,0,0,1,0,1,1,0,2,0,1,1,0,0,0,0,0,1,1,1,2,2,1,1,1,0,0,0,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,2,1,1,0,0,1,0,2,0,0,0,2,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0,1,1,1,1,2,0,0,2,0,0,0,0,1,1,0,0,2,0,1,1,0,1,1,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,2,1,2,0,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,2,1,0,0,0,1,0,2,2,2,0,0,2,1,1,0,1,1,0,0,0,0,1,0,0,0,0,2,1,0,0,0,2,0,0,1,2,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,2,2,0,1,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,1,0,0,1,2,0,0,1,1,1,2,1,1,0,0,2,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,1,1,0,0,1,2,2,0,0,0,0,1,0,1,1,0,0,1,0,0,0,2,1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,1,1,1,1,0,0,0,2,0,0,1,1,0,0,1,1,0,0,2,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,2,1,0,0,2,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,0,1,0,0,1,1,1,1,0,1,1,0,2,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,2,0,0,2,0,0,0,1,1,0,0,0,0,0,0,2,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,2,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,2,0,1,0,1,1,0,0,1,0,0,0,0,1,0,2,0,0,1,2,0,0,1,2,0,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,2,0,0,0,1,2,1,0,0,2,0,0,1,0,2,1,2,1,0,1,0,1,0,1,0,1,0,1,0,0,0,2,1,2,0,1,2,0,1,0,1,1,0,1,1,1,0,1,0,2,2,1,1,0,0,0,0,1,0,0,1,1,0,0,2,0,1,1,1,1,0,0,2,0,0,0,0,0,0,2,0,0,1,0,2,0,2,0,1,1,1,0,0,0,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,2,1,0,1,0,0,1,0,0,1,1,1,0,2,0,0,0,0,1,0,1,2,2,2,1,0,2,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,2,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,1,1,0,0,0,1,1,0,1,1,0,1,0,2,0,0,1,0,1,2,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,2,1,0,0,0,0,1,1,0,1,1,0,0,0,1,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,1,2,1 0,0,0,1,1,0,1,1,1,2,2,0,1,1,0,1,0,2,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,2,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,2,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,1,2,1,0,1,0,1,1,0,2,2,2,2,1,0,0,0,0,0,1,1,1,1,0,1,2,0,0,1,2,0,0,0,0,1,2,2,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,2,0,2,0,0,1,1,1,0,1,0,0,1,1,1,1,0,2,0,0,0,0,1,0,0,1,0,1,0,0,2,1,1,0,0,0,0,0,2,0,2,0,0,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,2,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,1,2,1,1,0,0,0,2,1,0,0,1,0,0,0,0,2,0,0,2,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,1,1,2,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,2,1,1,1,0,0,0,1,0,1,0,1,1,1,2,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,2,1,1,0,1,0,0,1,2,1,0,0,0,2,1,1,0,0,0,2,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,2,0,2,0,1,0,0,0,0,0,2,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0,2,1,0,0,0,0,2,1,0,0,1,2,0,1,0,0,1,0,2,0,1,1,0,0,0,0,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,2,0,0,1,1,1,0,2,0,0,0,0,1,1,2,0,1,1,2,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,2,0,0,1,0,0,0,1,0,1,1,0,2,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,2,0,0,0,2,0,0,0,1,0,0,0,1,1,0,0,2,1,2,1,0,0,1,0,0,0,0,1,1,0,0,0,0,2,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,1,0,0,0,0,1,2,1,1,0,0,0,0,0,0,1,0,2,1,0,0,0,0,1,0,0,0,0,1,0,0,0,2,0,1,1,1,0,1,2,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,2,0,0,0,1,0,2,0,1,1,0,2,0,1,2,0,0,1,2,0,0,0,2,1,0,0,0,2,0,2,1,0,1,1,0,1,2,0,1,1,0,2,0,1,1,1,0,0,0,0,1,2,0,2,0,1,1,0,0,1,0,2,1,0,0,0,0,0,0,1,1,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,2,0,0,1,1,2,1,0,0,2,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,1,0,2,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,1,2,0,0,1 0,0,0,0,1,0,2,1,1,0,2,2,0,1,2,1,0,0,1,0,0,0,0,1,2,0,0,2,0,0,0,0,2,1,0,0,2,1,0,0,2,0,1,0,2,1,2,1,0,2,2,0,0,0,0,0,2,1,0,1,0,0,1,0,1,1,0,1,0,1,1,1,2,2,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,2,1,1,0,0,0,1,1,0,2,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,2,2,0,1,0,0,1,0,0,1,1,2,0,0,0,1,0,0,1,1,1,1,1,1,0,1,0,2,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,2,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,2,0,1,1,1,0,0,0,1,2,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,1,2,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,1,1,0,1,1,2,0,2,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,2,0,1,0,1,0,0,0,0,2,0,0,0,0,0,1,1,1,0,0,0,0,1,1,1,1,1,0,1,2,0,0,0,0,0,1,0,0,0,2,1,0,2,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,2,0,1,2,1,1,0,0,0,1,1,0,1,0,2,1,0,0,0,0,2,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,2,0,1,2,1,0,2,2,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,1,0,1,1,2,1,1,2,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,2,0,1,0,2,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,2,1,2,0,0,2,1,0,0,0,0,0,0,2,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,2,0,1,1,1,0,0,1,1,0,0,1,0,2,2,0,0,0,2,0,0,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,2,2,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,1,2,0,0,2,0,0,1,0,0,1,0,2,1,0,0,2,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,1,1,2,0,1,2,0,1,1,0,0,0,0,2,0,0,0,0,1,2,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,1,2,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,2,2,0,0,1,1,1,1,0,1,0,0,0,0,2,1,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,2,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,1,0,0,0,2,1,0,1,1,2,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0,0,2,1,0,0,0,2,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,1,1,2,2,1,0,0,0,1,0,0,1,1,0,1,1,1,0,0,2,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,2,1,1,0,0,1 2,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,1,0,0,2,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0,0,2,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,2,2,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,1,0,1,2,1,0,0,1,0,0,2,0,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,2,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,2,0,0,0,0,0,2,0,2,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0,2,1,1,0,0,0,0,2,0,0,0,1,0,1,0,1,0,0,2,0,1,0,2,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,1,1,0,1,2,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,1,1,2,1,1,0,1,1,0,1,1,1,0,1,0,0,0,2,1,0,1,0,1,0,1,1,0,0,0,0,2,0,1,1,0,0,0,1,1,2,0,0,1,0,0,0,1,1,1,0,0,2,2,1,0,1,1,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,2,0,1,0,0,0,1,1,0,0,1,0,1,1,2,1,2,0,0,1,2,0,0,0,0,0,0,1,0,0,0,0,1,0,2,1,0,2,2,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,2,0,1,1,1,0,0,0,1,0,0,2,0,1,0,0,0,1,0,1,0,1,0,0,1,0,1,0,2,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,2,1,0,1,0,0,1,0,0,2,0,1,1,0,1,0,1,0,1,0,1,0,1,1,2,2,1,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,2,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,2,0,2,0,1,0,0,2,0,1,0,1,0,0,2,1,1,0,0,0,0,0,1,2,0,1,0,2,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,1,2,0,2,1,0,0,1,2,0,1,1,0,1,0,1,0,0,1,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,2,1,1,0,1,1,0,1,0,0,2,0,1,0,1,0,1,2,1,0,1,0,0,0,2,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0,1,1,2,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,2,1,0,0,2,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,0,1,0,2,0,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,1,1,0,0,1,0,1,2,0,1,0,2,0,0,0,1,0,0,1,0,1,2,1,0,1,0,0,1,0,1,2,0,1,0,0,0,1,0,1,2,0,0,0,1,2,2,2,2,0,1,1,1,0,0,2,1,1,1,0,2,1,0,0,0,2,0,1,0,0,0,1,0,1,0,1,2,2,1,0,0,1,0,0,0,1,1,0,0,0,2,1,0,1,1,0,0,0,0,1,2,1,0,1,0,0,0,2,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,2,1,1,2,0,0,1,0,2,1,0,1,0,0,1,0,0,2,0,0,0,2,0,1,2,1,0,2,0,0,0,1,0,1,1,1,1,0,1,1,0,1,1,0,2,0,1,1,0,1,0,0,0,0,1,1,0,0,2,0,0,1,0,0,2,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,2,2,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0 0,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,2,0,2,1,1,0,0,2,0,1,0,1,2,0,0,0,1,0,0,2,2,1,0,2,0,1,2,2,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,1,1,0,1,2,1,0,1,1,0,1,1,0,1,0,2,0,1,0,1,0,1,0,1,2,1,1,1,1,2,2,0,0,0,0,1,0,1,2,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,1,1,1,1,1,0,0,0,1,0,1,1,2,0,1,0,2,0,2,1,0,2,0,2,0,1,1,1,0,0,0,0,2,1,0,1,0,0,1,1,2,1,1,1,1,0,0,1,1,1,0,0,2,0,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0,2,1,0,0,0,1,0,0,0,1,0,1,2,1,0,0,0,1,0,0,2,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,2,1,1,0,0,1,1,1,1,1,0,1,0,0,0,1,2,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,2,0,0,1,1,0,0,0,1,1,2,1,1,0,0,0,1,0,1,0,1,1,1,1,2,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,1,0,1,0,0,2,2,1,2,0,1,1,2,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,2,0,2,1,0,2,1,1,0,0,1,0,0,2,1,1,1,0,1,0,1,1,0,0,0,1,1,1,2,1,1,0,1,0,1,0,2,0,0,0,2,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,1,2,1,0,0,0,1,1,1,0,0,0,1,1,2,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,0,1,1,2,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,2,1,1,2,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,2,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0,0,1,2,1,0,1,1,0,2,1,0,2,0,1,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,1,1,1,2,1,0,0,0,1,1,0,2,0,0,1,0,0,0,0,0,1,1,2,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,2,0,0,0,2,2,0,1,1,0,0,0,1,0,1,1,0,2,0,1,0,1,1,1,0,1,0,2,1,0,0,1,0,1,1,1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,1,2,0,0,2,0,0,1,0,1,0,0,1,1,0,0,1,1,2,2,0,1,1,0,2,1,0,1,0,0,0,0,1,0,0,1,1,2,1,2,0,1,1,0,0,2,1,0,1,0,0,1,0,1,2,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,1,0,1,0,0,2,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,1,1,0,0,2,0,1,0,0,2,0,0,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,2,0,0,1,0,1,1,0,1,0,2,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,2,1,0,0,0,0,0,0,1,1,0,0,1,0,2,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0 1,0,1,1,0,0,0,1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,2,0,1,2,0,0,1,0,2,1,0,1,1,0,0,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,2,0,0,0,0,1,1,0,1,0,0,0,0,2,0,0,1,0,2,0,0,0,0,0,2,1,0,0,1,1,2,0,0,0,0,0,0,1,0,2,0,1,1,0,1,1,1,0,0,0,2,0,1,0,0,1,0,0,2,2,1,1,1,1,0,0,0,0,1,0,0,1,0,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,2,0,2,0,0,1,0,0,1,0,0,0,0,0,1,2,0,1,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,1,0,0,1,0,0,0,2,1,0,1,0,1,0,0,1,0,1,0,1,1,2,1,0,0,0,0,2,0,2,1,0,0,0,0,0,0,0,0,0,1,1,2,0,1,0,1,2,0,0,0,0,2,0,0,0,0,1,1,2,0,1,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,1,2,0,0,0,1,1,0,0,0,2,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,1,1,1,0,2,0,0,1,0,0,0,0,0,1,0,0,2,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,1,0,1,0,2,1,0,1,0,0,0,0,1,0,1,2,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,1,2,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,2,0,0,1,0,1,0,1,1,2,0,1,0,0,1,0,0,1,2,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,2,2,0,2,0,1,1,0,0,1,2,0,0,2,0,0,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,1,0,2,0,1,2,0,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,1,2,1,0,0,0,0,1,0,2,0,0,2,0,1,0,1,2,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,2,1,0,0,1,0,2,1,1,0,1,2,0,0,0,1,2,1,1,1,0,0,2,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,1,2,0,1,0,1,0,0,0,0,1,0,2,1,1,0,1,0,0,1,0,0,0,1,1,0,1,2,1,1,0,1,1,0,0,0,0,1,0,0,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,1,0,2,1,0,0,0,1,0,0,1,1,0,2,1,2,0,0,1,0,0,0,0,1,2,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,2,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,2,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0 1,0,1,1,1,1,0,0,1,1,1,1,0,1,2,0,0,0,1,0,0,0,0,1,1,0,1,2,1,0,2,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,2,0,1,0,0,2,0,0,0,0,0,0,0,1,2,1,1,1,0,1,0,0,2,1,0,0,0,0,0,1,1,0,0,0,1,1,2,0,0,0,0,1,0,1,2,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0,0,0,1,2,0,0,1,0,2,2,0,1,1,0,0,0,0,1,0,2,1,2,1,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0,2,0,0,1,1,1,2,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,2,0,0,1,0,1,0,2,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,2,1,0,1,2,0,0,1,2,0,1,0,1,0,0,0,0,0,0,1,0,2,1,0,0,0,0,1,0,0,1,2,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,2,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,1,1,2,1,1,1,0,2,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,1,2,0,0,1,0,0,1,1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,1,2,0,0,2,1,0,2,1,1,1,0,1,1,0,1,0,2,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,1,2,1,0,0,1,0,0,0,1,1,1,0,0,1,2,0,0,2,0,1,0,1,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,2,0,2,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,1,1,1,2,0,1,0,1,0,1,2,0,2,0,0,1,0,1,1,0,1,0,0,0,1,0,2,1,0,1,1,0,2,1,2,0,0,0,1,1,2,1,0,1,0,2,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,2,0,2,1,0,0,2,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0,1,1,1,0,1,2,0,1,1,0,1,1,0,1,1,2,1,0,0,0,1,0,0,0,2,1,0,2,0,0,1,1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,2,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,1,2,0,0,0,1,0,0,1,1,1,0,0,0,0,1,2,0,1,0,0,0,1,1,0,1,0,0,0,1,2,2,1,1,1,2,0,0,2,0,0,0,0,0,1,1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0,2,0,2,0,1,0,0,0,1,1,1,0,2,2,0,0,0,0,1,0,2,0,1,0,1,0,0,0,2,1,0,0,1,0,0,2,1,1,1,1,0,1,0,1,0,0,2,1,1,1,0,1,2,0,2,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,2,1,0,0,1,1,0,0,0,2,0,0,1,0,0,2,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,1,1,1,0,1,0,0,0,2,0,0,0,1,0,0,1,1,1,1,0,0,0 0,0,0,1,2,0,0,0,0,1,2,1,0,2,1,0,0,0,0,0,0,0,1,0,0,0,2,2,1,1,2,0,0,0,1,0,1,0,0,1,0,2,0,1,0,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,1,2,1,0,0,0,0,1,2,1,1,0,1,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1,2,1,0,0,0,0,0,0,0,1,0,1,0,1,1,1,1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,1,2,2,1,0,0,1,0,0,0,1,0,0,2,2,1,0,0,2,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,2,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,1,1,0,0,1,1,1,2,1,2,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,0,1,2,0,0,1,1,0,0,0,1,2,1,0,0,2,0,1,0,0,2,1,0,0,0,0,0,0,2,0,2,0,2,0,0,2,0,1,0,0,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,1,2,0,0,2,1,0,0,0,2,0,0,0,0,1,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,2,1,1,0,0,0,2,2,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,2,1,0,0,0,0,0,2,0,0,2,0,1,0,1,0,0,0,2,0,1,0,0,1,0,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,0,1,0,0,1,2,0,0,1,1,1,2,0,1,0,0,2,2,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,2,2,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,1,2,1,1,0,1,1,0,1,0,0,2,1,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,1,1,1,1,0,2,1,0,1,0,1,2,1,1,2,0,0,1,0,2,0,0,2,1,2,1,0,1,0,0,0,1,0,0,1,1,2,0,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,2,2,0,0,1,2,0,0,1,0,0,0,2,0,2,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,1,2,0,1,2,1,1,1,1,0,0,1,0,2,0,0,0,0,0,1,1,2,1,2,0,0,0,1,1,2,1,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,2,0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,1,2,0,0,1,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,2,1,0,1,2,0,2,0,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,2,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,2,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,2,0,1,1,0,0,1,0,2,0,1,1,0,2,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,2,1,0,1,0,2,0,0,1,1,2,0,2,1,0,0,0,1,0,0,0,1,0,0,0,1,2,1,1,0,1,1,0,0,0,0,0,2,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,2,0,0,0 2,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,2,0,1,0,0,0,1,0,2,1,0,0,0,2,0,0,0,0,2,1,0,1,1,0,1,0,2,0,0,2,0,2,1,0,1,0,0,0,0,0,0,0,1,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,2,2,0,2,0,2,1,1,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,1,0,1,1,0,1,0,2,0,0,0,0,1,1,1,0,0,2,1,1,2,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,2,1,0,1,0,0,0,1,2,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,2,2,2,1,2,1,0,1,0,0,1,1,0,0,2,0,1,0,0,1,0,1,0,0,0,0,1,2,1,0,1,0,0,0,0,1,2,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,1,0,1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,2,2,1,1,1,0,0,2,0,0,0,1,0,0,0,1,1,0,1,0,0,2,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,2,0,1,2,0,0,0,1,2,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,1,2,2,1,0,0,1,0,1,1,0,2,0,1,0,1,1,1,1,2,0,1,0,0,0,0,1,0,0,2,0,1,0,0,1,0,2,2,1,1,0,0,0,0,1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,2,1,1,0,1,0,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,2,0,1,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,0,1,1,1,0,2,0,0,0,1,0,0,2,1,1,1,0,0,0,1,1,1,0,0,0,0,0,2,2,1,2,0,1,0,0,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,2,2,0,1,0,1,0,2,1,0,1,1,0,2,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,2,1,1,1,1,0,0,0,0,0,1,1,1,2,1,1,0,0,1,0,1,0,1,1,0,0,2,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,1,1,2,0,0,1,1,0,0,0,1,2,1,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,1,0,1,1,2,0,0,0,2,1,0,2,1,0,0,2,0,0,1,1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,2,0,0,0,1,0,0,0,0,1,1,1,0,0,2,1,0,1,2,0,1,1,0,2,0,0,1,0,1,0,0,0,1,2,0,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,2,1,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0,2,0,0,0,1,0,0,0,0,1,0,2,0,0,1,0,0,2,0,1,0,1,0,2,0,1,0,0,1,0,1,1,0,0,1,2,1,0,0,0,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0,2,0,0,1,0,1,1,0,1,0,1,1,1,0,0,1,0,2,1,0,1,2,2,0,1,0,0,0,0,0,1,0,1,2,0,0,0,2,1,1,2,0,0,1,1,0,1,1,0,0,0,0,0,1,1,1,2,0,0,0 1,0,0,1,0,0,0,0,1,1,1,0,1,1,2,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,1,0,2,0,1,1,2,0,1,1,0,1,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0,1,1,2,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,2,0,1,0,1,1,0,0,2,0,1,0,1,0,2,1,1,1,1,1,0,1,2,1,1,0,0,0,1,0,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,2,1,2,0,0,1,0,1,0,0,0,0,1,0,1,0,0,2,2,0,0,0,1,0,0,1,0,2,1,1,1,1,0,2,0,0,0,1,2,0,0,1,0,0,0,0,0,1,1,2,1,0,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0,1,1,0,1,1,1,0,2,0,1,0,1,0,2,0,0,1,0,0,0,1,0,1,1,0,0,0,1,1,1,2,1,0,0,1,0,0,0,1,0,1,1,0,1,2,0,1,2,1,0,0,2,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0,2,0,0,2,0,0,1,0,2,2,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,0,2,1,0,0,1,1,1,0,2,0,0,0,1,1,0,0,0,1,0,2,0,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,2,0,0,1,1,1,1,0,0,1,2,0,2,0,2,1,0,0,1,0,0,2,1,0,1,1,0,0,2,1,1,0,1,0,0,1,0,0,2,0,2,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,2,0,0,1,1,0,1,2,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,2,0,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0,1,2,0,1,0,1,1,1,0,1,0,1,2,0,1,2,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,1,0,1,0,2,0,0,0,0,1,0,0,1,0,2,1,1,1,1,1,0,0,1,0,2,2,0,0,1,1,0,1,1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,1,0,1,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,1,0,1,0,2,1,2,0,1,0,2,1,1,0,1,1,1,0,0,1,0,2,1,0,0,0,0,0,0,1,0,0,2,1,1,0,0,1,0,2,2,2,0,0,0,1,1,0,1,2,0,0,2,0,2,1,1,1,0,1,0,1,1,0,2,0,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,2,1,1,0,0,1,0,2,0,2,0,1,0,1,1,0,1,1,2,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,2,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,1,1,0,0,2,2,0,0,0,1,1,2,0,1,0,0,2,1,2,0,2,0,0,0,0,1,1,0,1,1,0,1,1,2,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,2,1,1,1,0,0,0,0,1,0,1,1,2,1,0,0,1,1,0,0,2,0,0,0,0,1,0,2,0,0,1,1,0,1,0,0,2,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,2,2,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,2,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,2,0,0,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,2,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,2,0,0,0 0,0,1,1,0,0,0,1,0,1,2,0,0,0,2,0,1,2,0,0,0,0,1,0,0,0,2,2,0,0,0,0,1,1,0,0,1,2,0,2,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,1,1,1,1,2,1,1,0,0,0,1,2,0,1,0,0,0,0,2,2,0,1,1,0,0,0,0,2,1,0,0,2,0,0,0,0,1,0,0,1,0,0,1,1,2,0,0,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,1,2,1,1,0,0,0,0,1,0,0,2,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,2,0,0,0,1,1,0,0,0,1,1,0,0,0,1,2,1,2,0,0,0,0,0,0,0,1,1,2,1,0,1,1,0,0,0,0,0,0,0,1,0,2,0,1,0,1,1,0,1,2,1,0,0,1,0,1,0,1,1,0,0,2,0,0,1,2,0,0,1,2,1,2,2,0,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,1,1,0,0,1,1,0,2,1,1,0,0,1,0,1,0,0,1,0,2,2,1,1,1,1,0,1,0,0,2,0,1,0,0,1,0,0,0,0,1,1,0,0,1,1,0,0,1,2,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,2,2,1,0,0,0,0,0,2,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,2,1,1,1,0,2,2,0,1,0,1,0,0,0,0,1,0,2,0,0,0,1,0,1,1,1,0,0,2,1,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,2,0,0,1,0,1,0,0,2,0,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,1,2,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,2,0,1,0,1,0,0,0,1,0,0,1,0,2,1,0,1,0,1,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1,1,2,1,1,0,0,1,1,0,0,0,0,2,1,0,1,0,0,1,2,1,0,2,1,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,1,0,2,0,0,1,1,2,0,1,1,0,1,1,1,0,0,1,0,2,0,0,0,0,1,0,1,0,2,0,1,0,1,0,0,0,1,0,1,2,1,1,0,0,1,1,1,1,1,0,0,0,0,1,2,0,0,1,0,0,2,1,1,2,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,2,0,1,2,1,2,1,0,0,0,0,1,0,1,0,1,0,0,0,1,1,1,1,1,1,1,2,1,0,0,0,0,1,2,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,2,0,0,1,1,1,0,1,0,1,2,0,0,0,0,0,1,2,0,0,0,0,0,0,1,1,2,0,1,0,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,2,1,0,0,0,0,1,1,1,1,0,1,1,0,0,1,1,2,0,0,0,0,0,1,1,2,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,2,0,2,0,1,0,0,1,0,0,2,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,1,0,0,1,2,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,2,0,1,1,0,0,1,0,0,1,0,0,2,2,1,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0 0,0,0,0,1,0,0,1,1,1,2,1,0,0,1,0,1,1,0,0,0,0,0,0,1,1,1,2,1,0,1,0,2,0,1,0,0,0,0,1,1,2,1,1,1,0,0,1,0,1,1,0,0,0,0,1,2,0,1,0,0,0,0,1,1,1,1,2,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,2,1,0,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0,2,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,1,1,0,2,1,0,0,0,2,1,1,0,0,1,0,0,0,1,1,2,0,0,0,1,0,0,0,0,2,1,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,1,1,0,0,2,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,2,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,1,1,2,1,1,2,1,0,1,1,1,0,0,0,1,0,0,1,0,1,2,0,0,0,0,2,2,1,2,1,1,0,0,0,2,0,1,0,0,0,1,0,1,0,1,1,0,0,1,2,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,1,2,1,0,2,2,1,0,0,1,0,0,0,0,1,1,1,1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,2,1,1,0,1,1,0,0,1,0,1,2,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0,1,2,0,0,1,0,1,2,0,2,1,0,1,1,1,1,1,0,1,0,2,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,2,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,2,0,1,1,0,1,0,0,0,1,2,1,0,0,1,1,0,2,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,2,1,0,0,0,0,1,2,1,0,0,0,0,0,1,2,1,2,0,1,0,0,0,0,1,0,2,0,2,1,2,0,0,0,0,0,0,1,1,0,0,0,0,2,1,1,0,0,2,0,2,2,1,2,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,1,0,0,1,0,0,0,0,1,0,0,1,0,1,2,0,0,0,2,0,0,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0,1,1,0,1,0,1,1,1,2,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,2,1,0,1,1,1,0,0,1,0,1,0,0,2,0,1,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,1,1,1,0,1,1,0,2,0,0,0,0,0,1,1,0,1,0,1,2,2,1,0,0,2,0,0,0,0,1,2,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,2,0,0,1,2,2,0,0,0,0,0,0,1,0,0,1,1,1,0,2,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,2,0,1,1,2,0,0,0,0,0,1,1,1,0,1,0,0,0,2,1,0,0,1,0,0,1,1,0,0,1,0,0,2,0,0,1,2,0,0,1,0,1,0,1,1,1,1,1,2,0,2,0,2,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,1,1,1,0,2,0,1,1,1,2,0,2,0,0,0,2,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0,2,1,0,0,1,0,0,1,0,0,0,0,0,2,0,1,1,0,0,0,0,0,2,2,0,1,0,0,2,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0 0,0,1,1,1,1,0,0,2,1,1,0,0,1,2,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,2,0,0,1,1,0,0,0,0,1,1,2,0,2,0,0,1,0,1,0,2,1,0,0,2,0,1,1,0,1,1,1,0,2,0,0,0,2,1,0,2,1,1,1,1,0,2,1,0,0,0,0,0,1,1,0,1,0,0,0,2,2,0,0,1,1,1,0,2,0,2,0,0,1,0,1,0,1,0,1,0,0,0,0,2,1,0,1,0,1,0,0,1,0,1,0,0,0,2,1,1,0,2,2,1,0,0,1,2,1,1,0,0,0,1,0,1,0,0,0,1,1,0,1,0,2,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,2,0,1,1,1,0,0,1,0,0,1,2,0,0,0,0,0,0,0,0,2,0,1,1,2,0,1,1,0,0,1,2,0,0,0,0,0,0,1,2,0,0,1,0,0,1,0,0,0,0,2,1,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,2,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,2,0,0,2,1,1,0,1,2,0,0,0,1,2,1,0,1,1,1,0,1,2,0,2,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,2,0,0,2,0,1,1,0,0,0,0,1,0,0,2,1,1,0,0,0,0,0,1,0,2,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,2,0,1,1,0,1,1,2,0,0,0,0,1,0,0,1,0,0,0,1,0,1,2,1,1,0,0,0,2,1,0,1,1,2,0,1,0,1,2,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,1,2,0,2,0,1,2,0,0,0,1,1,0,1,0,1,0,1,1,1,0,2,0,2,0,0,2,1,0,1,0,1,1,0,2,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,2,2,1,1,0,0,0,0,0,0,0,1,1,1,2,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0,1,2,0,1,0,1,2,0,2,0,0,2,0,0,0,0,1,0,0,1,0,0,1,2,1,1,0,0,1,0,0,2,1,0,0,0,0,1,1,0,1,0,1,1,0,1,1,1,0,1,1,0,1,2,1,0,1,0,0,1,0,2,0,0,2,1,0,1,0,1,1,0,0,2,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,2,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0,2,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,2,0,1,0,0,1,1,0,2,1,0,1,0,0,0,1,0,2,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,1,2,0,2,1,1,1,1,0,1,0,0,1,1,2,1,1,0,0,0,0,0,2,1,0,2,0,0,0,2,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,0,2,1,1,0,2,0,1,0,0,1,0,0,0,0,0,2,2,0,1,1,2,1,0,0,2,0,0,1,2,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,2,1,0,1,0,0,0,0,1,2,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,1,1,2,0,1,0,0,0,2,0,1,0,0,0,0,1,0,0,1,2,0,0,1,0,1,1,1,0,0,0,1,1,2,1,1,0,0,1,1,0,2,1,1,1,0,1,0,2,2,1,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0 0,0,2,1,0,0,0,0,1,1,1,0,0,2,0,0,1,0,0,0,0,2,0,0,1,2,2,1,1,0,1,0,0,0,2,0,1,0,0,0,1,1,1,2,0,0,0,1,0,2,0,0,0,0,1,0,2,0,1,0,0,0,0,1,0,1,0,1,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,2,1,1,0,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,2,0,0,1,0,0,0,1,1,2,1,0,0,0,0,0,0,0,0,1,1,2,1,1,1,0,0,2,0,1,0,0,0,0,2,2,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,0,1,2,0,2,1,0,0,0,1,0,1,0,0,2,0,0,0,1,2,1,0,0,0,2,0,0,0,0,0,1,1,0,1,0,0,0,2,0,1,2,1,0,1,1,0,0,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,2,0,0,0,0,2,2,0,0,2,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,2,1,0,0,1,0,0,1,0,0,0,2,0,0,1,0,1,0,0,0,1,0,0,1,0,1,1,2,0,0,1,1,2,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,2,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,2,2,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,2,0,1,1,0,1,2,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,2,1,0,0,1,0,0,1,2,0,1,2,1,0,1,0,1,0,0,0,0,0,1,0,1,2,0,0,0,2,1,0,0,0,0,0,2,0,1,1,1,1,0,1,2,0,1,0,1,1,0,0,0,0,0,1,1,0,0,2,0,1,0,1,0,2,0,1,1,2,1,0,0,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,2,0,0,1,1,1,1,0,0,1,0,0,1,2,0,1,0,0,1,0,2,0,0,1,0,0,0,0,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,1,2,1,0,0,1,0,0,0,1,2,0,1,2,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,1,2,1,0,0,0,1,1,2,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,2,2,1,0,2,0,1,0,2,0,1,0,1,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,2,0,0,0,2,0,0,1,1,0,1,1,0,2,2,2,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0,1,0,0,2,2,0,0,0,0,0,0,0,0,2,2,0,0,0,1,0,2,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,2,0,0,1,1,1,1,2,1,0,0,0,2,0,0,0,2,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,2,1,1,0,0,1,2,2,0,0,2,0,0,1,0,2,1,0,0,1,0,1,0,1,0,0,2,0,1,1,0,1,0,0,0,0,0,2,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,2,0,1,0,0,0,0 0,0,1,2,0,0,1,1,1,1,1,1,0,0,2,0,0,0,2,0,0,0,0,0,2,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,2,2,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,1,0,2,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,1,0,0,1,0,2,1,0,2,0,0,0,1,0,1,1,2,0,1,0,0,2,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,2,0,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,1,0,2,1,1,1,2,0,1,0,0,2,0,2,1,0,0,0,0,0,1,0,0,0,0,0,2,1,1,2,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,2,1,0,0,1,1,2,0,1,1,1,2,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,1,2,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,2,0,0,1,0,0,2,2,0,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,2,1,2,0,0,0,0,0,0,2,0,1,1,0,1,0,1,1,1,1,2,1,2,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,2,1,0,1,1,0,1,0,0,0,0,2,1,0,1,1,0,2,0,0,1,0,1,0,1,1,0,0,1,0,0,2,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,1,2,1,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,2,1,1,2,1,1,0,1,0,0,0,0,1,1,0,1,1,2,1,0,0,1,1,1,0,0,0,2,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0,2,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,1,0,0,1,1,2,0,0,0,1,0,0,1,0,0,0,1,0,2,0,0,0,0,0,1,1,0,1,1,2,2,0,1,0,1,0,0,2,0,2,1,0,0,1,0,1,1,1,0,2,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,2,0,0,1,0,1,0,2,0,0,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,1,0,0,2,1,0,0,1,2,1,1,0,0,1,1,0,1,0,0,1,2,0,1,1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,1,1,0,2,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,2,0,0,0,0,0,2,0,1,2,1,0,2,0,2,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,2,1,0,1,0,1,1,0,2,1,0,0,0,0,2,1,0,0,0,2,1,2,0,1,1,0,2,1,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,2,1,0,0,0,0,2,1,2,1,2,0,1,0,0,0,1,1,1,0,0,0,2,0,0,1,0,1,0,1,0,0,1,1,0,0,2,1,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,1,0 1,0,1,0,0,0,0,0,0,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,1,0,0,2,1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,1,1,2,0,1,0,0,0,0,0,0,1,0,1,0,2,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,2,0,0,2,0,0,0,2,2,1,0,0,0,0,1,0,0,0,0,0,0,1,2,0,1,0,0,2,0,1,0,2,0,0,0,0,1,0,2,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,2,1,2,1,0,2,0,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0,2,2,1,0,0,0,2,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,2,0,0,0,0,0,0,0,1,2,1,0,0,0,1,2,1,0,1,0,1,1,2,0,0,1,1,0,2,1,0,1,0,0,1,0,0,0,1,0,0,0,1,2,0,0,0,0,1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,2,0,0,0,0,0,1,2,0,0,1,1,1,0,2,0,1,0,0,0,1,1,1,1,1,1,0,0,0,1,0,1,2,0,0,0,1,2,1,0,0,0,0,1,1,1,2,0,1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,1,1,1,0,2,0,1,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,2,0,1,1,2,0,0,1,1,2,1,0,2,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,2,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,2,0,0,1,1,0,0,0,0,0,2,1,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,1,1,0,1,1,0,2,1,1,0,0,0,2,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0,2,1,1,0,0,1,1,1,1,0,2,1,1,0,2,0,1,1,1,1,1,1,1,0,0,2,0,0,0,0,0,1,1,0,1,0,0,1,1,1,1,2,0,1,0,0,0,0,1,0,1,0,0,0,1,0,2,0,2,1,1,0,1,0,0,1,0,0,0,0,1,0,0,2,1,1,0,1,0,2,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,2,0,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,2,0,1,1,0,0,1,2,0,0,1,0,0,2,1,1,1,0,0,1,1,0,1,0,1,0,1,2,0,1,1,1,1,2,0,0,0,0,0,1,1,0,1,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,1,0,2,1,1,1,0,2,0,0,0,0,0,1,1,2,0,0,0,1,1,0,0,0,1,0,0,0,1,0,2,0,0,0,1,0,0,1,2,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,1,2,2,2,1,0,0,2,1,1,1,1,1,0,0,0,0,1,2,0,0,1,1,0,1,0,0,1,2,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,1,0,0,1,1,2,1,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,1,1,0,0,0 0,0,0,1,1,0,1,1,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,1,0,0,1,2,1,1,1,0,1,0,1,0,1,0,1,0,0,2,1,1,1,1,0,2,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,1,1,1,0,2,0,1,0,0,1,2,0,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,2,0,1,0,2,0,2,0,0,0,0,0,0,0,1,0,0,1,2,2,1,0,0,0,0,1,0,0,0,0,1,1,1,2,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,1,1,1,1,0,0,0,2,0,1,1,0,1,1,0,0,1,2,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,2,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,1,0,1,1,2,1,2,1,0,0,0,0,1,1,1,0,0,1,0,2,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,2,2,0,2,1,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,2,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,2,1,0,0,1,1,0,1,0,1,1,2,0,0,0,0,0,1,0,1,0,0,1,2,1,0,2,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1,2,1,0,1,0,0,2,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,2,0,2,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0,2,0,1,1,0,0,0,0,1,1,0,1,0,0,2,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,2,1,1,1,0,0,1,0,0,1,2,0,1,0,0,0,1,2,1,0,1,0,0,1,2,1,1,1,0,0,1,1,2,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,2,0,1,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,2,2,0,1,1,0,0,2,1,1,0,0,0,1,1,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,2,0,0,1,1,0,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,2,0,1,1,0,0,1,0,1,1,1,1,1,0,0,1,2,1,1,0,0,1,0,1,1,0,2,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,2,0,0,0,0,0,0,2,0,2,1,0,0,0,2,0,0,1,2,0,0,0,0,0,0,0,1,1,0,0,2,1,0,0,1,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,1,2,0,0,0,0,2,0,0,0,1,1,0,1,1,0,1,0,1,2,2,1,1,1,1,0,0,2,0,1,0,0,0,0,0,0,0,2,0,1,2,1,0,0,0,0,0,1,0,0,0,0,1,0,2,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0,0,2,0,1,2,1,2,0,1,1,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,1,0,1,2,1,0,2,0,1,1,0,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,0,1,0,1,1,0,0,2,0,0,0,0,1,0,0,0,1,0,0,1,2,1,0,1,0,0,2,0,1,0,0,2,0,1,1,0,1,2,0,0,1,0,0,2,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,2,2,0,0 0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,2,0,0,1,0,2,0,2,0,1,1,1,0,0,1,0,0,1,2,1,2,0,0,1,0,1,0,0,0,0,1,2,1,0,0,0,2,0,0,0,1,0,0,1,1,0,0,0,1,2,0,0,0,0,0,2,1,0,1,2,0,1,1,1,0,0,0,2,2,0,0,2,0,0,0,0,1,1,2,0,1,0,0,0,1,0,1,0,1,0,0,2,0,0,2,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,2,0,2,0,0,1,0,0,0,0,0,2,0,1,0,1,0,0,1,1,0,2,0,1,0,0,0,0,1,0,0,1,0,1,0,0,2,1,1,0,0,2,0,0,0,1,0,2,0,1,0,1,2,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,2,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,1,0,2,0,0,0,0,0,0,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,2,0,0,0,1,1,2,1,0,0,0,1,0,1,0,1,0,0,0,2,0,0,0,1,0,0,1,1,1,1,1,0,2,2,0,0,2,0,0,1,0,0,1,1,2,0,1,0,0,1,0,1,0,0,2,0,0,0,0,2,0,1,0,0,2,0,0,1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,2,0,1,2,1,2,0,0,1,0,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,1,0,1,0,2,0,0,1,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,1,0,1,2,0,0,1,0,0,0,1,1,2,1,0,2,0,1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,2,2,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,2,0,0,1,1,0,1,0,2,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,2,0,1,0,1,0,0,1,2,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,1,2,0,0,0,1,1,2,0,1,1,0,0,1,0,0,0,1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,1,0,1,1,2,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,2,0,0,2,0,1,2,1,1,1,0,0,1,0,2,2,0,1,1,0,0,0,1,0,1,1,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,1,0,1,0,0,0,0,0,2,2,1,0,0,2,1,2,0,0,0,1,1,0,0,1,1,1,0,2,0,0,2,0,0,1,1,0,2,0,0,1,0,2,2,1,1,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,1,1,0,2,0,0,1,0,0,0,0,0,0,0,1,1,2,2,1,2,1,1,0,2,0,0,1,2,1,1,1,1,0,1,1,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,1,0,1,2,0,0,1,0,0,1,2,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,2,2,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,1,0,2,1,0,0,0,0,0,0,2,1,0,2,0,0,0,0,0,1,1,0,0,2,1,2,0,1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,1,0 0,0,1,1,0,1,0,0,1,1,2,0,0,1,1,0,0,2,0,0,1,0,1,0,0,0,2,1,1,0,1,0,1,0,0,0,1,1,1,0,1,2,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,1,2,0,0,0,1,0,0,1,0,2,0,0,2,0,1,1,0,2,2,0,0,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,2,2,0,0,1,0,0,1,0,0,1,1,0,2,0,1,0,2,1,0,0,1,0,1,1,2,2,2,0,1,0,0,1,2,2,1,1,0,1,0,0,1,0,1,0,0,1,0,2,0,1,0,0,2,1,1,0,1,1,2,1,0,2,0,0,1,0,2,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,2,0,2,1,0,2,1,1,0,0,1,0,0,2,0,0,0,0,0,0,1,1,1,0,1,2,1,1,1,0,0,1,1,0,0,1,1,1,0,1,0,1,2,0,1,0,1,2,0,1,1,1,0,2,0,0,1,1,1,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,1,1,0,1,0,1,1,2,1,1,1,0,0,1,0,1,1,0,1,0,2,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,2,0,2,0,0,0,1,0,0,0,0,1,2,2,0,0,1,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,1,1,0,0,1,2,1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,2,1,0,1,2,1,1,0,0,0,1,1,0,0,2,0,0,2,1,0,0,0,2,1,0,0,0,0,0,0,0,1,0,1,2,2,0,1,0,1,1,0,0,0,2,1,0,0,0,0,0,1,0,2,1,0,0,0,2,1,1,0,0,1,1,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,1,2,0,1,0,1,1,0,1,1,1,1,0,2,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,2,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,1,1,0,1,0,2,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,2,1,1,0,0,1,0,1,0,2,0,0,0,2,0,1,1,1,0,1,1,0,0,1,2,0,1,1,2,2,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,2,0,0,0,1,0,0,0,1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,2,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,1,0,0,0,0,2,0,2,0,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,2,0,0,1,0,0,1,1,0,0,0,2,0,0,1,0,0,0,1,0,1,0,2,1,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,2,1,0,0,1,2,2,0,0,0,1,0,2,0,2,1,2,0,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,1,2,1,1,0,1,0,0,0,0,1,0,0,1,0,2,0,1,1,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,1,2,0,0,0,2,0,2,0,0,1,1,1,1,0,0,0,1,0,2,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,1,1,1,2,0,1,1,2,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,1,1,0 1,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,2,0,2,1,0,0,0,2,1,0,2,1,0,1,1,0,0,1,2,1,1,0,0,0,1,0,2,2,2,1,1,0,0,2,1,2,1,1,2,1,0,0,2,1,0,0,2,1,0,0,1,0,0,1,1,0,0,0,2,0,1,1,0,0,1,0,0,0,2,0,0,1,1,1,0,2,0,0,0,1,0,0,0,2,0,1,0,2,0,1,1,0,0,0,0,0,0,0,1,0,2,1,0,1,1,1,1,0,2,0,1,0,0,0,2,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,2,1,1,1,1,0,2,0,0,0,1,1,0,0,0,0,0,1,1,1,0,2,0,2,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,2,1,1,0,1,0,0,0,0,2,1,0,0,0,0,2,0,1,0,0,1,0,1,0,1,0,2,0,1,1,1,1,2,0,0,0,1,2,0,1,0,1,0,0,0,0,2,1,2,0,0,1,1,1,0,0,1,0,2,0,0,2,0,1,0,1,1,1,0,0,1,0,0,0,0,2,1,0,0,0,2,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0,1,0,2,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,2,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0,1,1,1,1,0,0,2,0,0,0,1,0,0,0,0,0,0,2,1,1,0,1,0,1,1,0,0,0,2,0,0,0,0,1,2,1,0,0,0,2,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,2,0,0,1,0,0,1,0,0,1,1,0,0,1,0,2,1,0,0,2,1,0,0,0,0,0,2,0,0,1,0,1,0,0,0,2,1,1,1,0,0,1,0,0,0,2,1,0,0,2,0,0,0,2,1,1,0,0,1,1,2,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,1,1,2,0,0,1,1,0,0,2,1,0,0,1,0,0,0,2,1,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,1,0,0,0,0,2,1,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,2,0,1,1,0,0,2,1,0,0,1,1,2,2,0,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,2,0,1,0,0,1,2,1,0,0,0,0,0,1,2,1,0,1,1,0,2,1,0,0,0,1,1,0,1,0,1,2,1,0,0,0,1,0,0,1,2,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,2,0,0,0,1,0,1,0,0,1,0,1,1,2,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,2,0,0,0,0,1,2,0,1,0,0,0,1,0,0,1,0,1,0,0,2,0,1,0,0,1,0,0,1,2,0,2,2,2,0,0,0,0,0,1,0,0,2,1,0,1,2,0,1,0,2,2,0,0,0,0,2,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,2,1,0,0,0,0,0,1,0,2,1,0,0,0,2,1,1,1,0,1,1,0,0,1,1,1,0,0,0,2,0,0,2,0,2,1,0,1,1,0,2,0,0,1,0,1,0,0,1,2,1,1,0,0,0,1,1,0,0,1,1,0,1,1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,2,0,1,1,0,0,1,2,0,0,1,1,0,2,0,1,0,0,2,0,0,2,0,1,1,0,0,0,0,0,1,1,1,1,0,2,2,0,0,0,1,0,0,0,0,1,1,0,1,1,0 1,0,1,2,1,1,0,1,0,1,0,1,0,1,1,2,0,0,0,0,0,1,1,0,0,1,1,1,0,0,1,0,1,2,0,0,2,2,1,0,0,0,0,1,2,0,1,2,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,2,2,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0,1,2,0,1,0,1,0,1,0,0,0,1,1,1,1,2,0,1,1,0,2,2,2,0,0,0,1,0,0,0,2,0,2,0,1,1,1,0,0,1,0,0,2,0,1,1,0,1,0,0,1,0,0,0,1,1,2,0,0,1,2,2,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0,1,1,0,2,0,1,0,0,1,0,0,0,1,1,1,1,0,1,0,2,0,2,1,1,0,0,0,1,0,0,0,1,0,0,0,0,2,2,1,0,0,0,0,2,1,0,1,1,0,0,1,1,0,0,0,2,0,0,0,0,1,1,1,0,1,1,1,0,2,0,2,0,0,1,0,0,1,1,0,0,1,0,1,0,1,0,2,0,1,1,0,1,2,1,0,2,0,2,1,0,1,2,0,0,2,1,1,0,0,0,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0,2,1,1,0,1,1,1,2,2,0,1,0,1,0,2,2,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,1,0,2,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,2,1,1,0,2,0,0,1,0,1,0,0,1,1,0,1,0,1,1,0,1,2,0,1,0,0,1,0,0,1,0,1,0,0,2,0,0,1,0,2,1,0,1,0,1,0,0,1,0,0,0,1,0,2,0,0,0,1,1,0,0,2,2,1,0,0,0,1,0,0,1,2,0,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,2,2,1,0,1,0,1,1,1,2,0,0,0,0,0,0,0,1,0,1,2,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,2,1,1,0,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,2,1,0,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,1,1,0,1,1,1,0,1,2,2,1,1,2,1,0,1,0,0,1,0,0,0,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,0,2,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,2,1,2,2,2,0,1,2,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,2,1,1,0,1,0,0,1,0,2,0,2,0,0,0,2,0,0,0,1,1,0,1,0,2,0,0,0,1,0,0,0,1,0,1,1,0,2,0,0,0,0,0,0,0,1,2,0,0,0,1,2,0,0,0,0,0,1,0,1,0,2,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,2,2,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0,0,2,0,0,2,0,1,0,1,0,0,0,1,2,1,0,2,1,1,1,0,0,1,0,0,1,0,0,2,1,0,1,1,0,2,1,0,0,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,2,0,0,0,1,0,0,1,1,0,1,0,1,0,1,1,2,0,0,0,0,1,1,0,1,0,0,0,0,2,0,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,2,1,1,0,1,0,0,1,2,1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,2,1,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,0,0,2,0,0,0,2,0,2,0,0,0,0,1,1,1,0,2,1,0,0,1,0,0,1,0,1,2,0,1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0 0,0,2,2,1,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,1,2,2,0,1,0,0,2,1,0,0,1,2,1,0,1,2,0,1,1,2,0,1,0,0,1,0,0,0,0,1,1,1,2,0,1,0,1,1,1,0,1,0,1,0,2,1,0,0,2,1,2,0,0,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0,2,0,0,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,1,2,1,1,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,1,1,1,1,0,0,0,2,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,2,0,1,0,1,1,2,2,0,0,0,1,0,0,0,0,1,1,0,1,1,2,0,1,0,0,2,0,0,1,0,0,0,1,1,0,1,0,1,0,0,2,0,2,0,1,0,1,1,1,0,2,0,1,0,1,2,0,1,0,1,0,1,0,0,1,1,0,0,2,1,1,0,2,1,2,1,0,2,0,0,0,1,0,1,0,2,1,2,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,2,2,0,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,1,2,1,0,1,0,0,1,1,0,0,2,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,2,2,0,1,0,1,0,0,1,0,1,0,0,0,1,0,1,2,1,0,0,1,0,2,2,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,0,0,1,1,0,2,0,0,0,0,1,1,0,1,0,1,0,0,1,2,0,1,2,1,0,1,2,2,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0,1,2,1,1,0,1,0,1,1,2,2,0,0,0,0,1,2,1,0,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,2,1,0,2,1,0,1,2,0,1,1,0,1,0,0,1,2,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,1,0,2,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,2,0,1,1,0,0,1,1,0,1,2,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,2,1,0,2,1,0,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0,1,0,2,2,2,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,2,0,0,0,1,0,0,1,0,1,0,1,1,0,0,2,0,0,0,1,0,2,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,2,1,1,1,0,0,0,1,2,2,0,1,1,1,1,0,0,0,0,0,0,0,1,2,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,2,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,2,0,0,0,1,0,1,1,0,0,0,0,0,2,2,1,2,0,1,1,0,0,0,0,0,0,0,0,2,0,2,0,2,1,1,0,1,1,1,0,0,2,0,1,2,0,1,2,0,0,2,1,0,1,1,0,0,0,0,0,2,0,1,0,0,0,0,0,2,2,0,1,0,2,0,0,2,0,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0 0,0,1,2,1,0,1,0,0,1,0,2,1,1,2,1,0,0,1,0,0,0,0,0,1,1,2,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,2,0,1,0,1,1,0,1,1,0,0,2,0,0,2,1,0,1,0,0,2,0,1,0,0,1,0,2,2,1,1,0,1,0,0,0,1,1,1,2,0,1,0,1,0,1,2,1,0,0,1,1,0,0,0,0,1,1,1,1,0,0,0,1,2,0,1,0,2,0,0,0,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,2,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,1,1,0,1,0,2,1,0,2,0,0,2,0,1,0,0,1,0,1,2,0,1,2,1,1,0,2,1,0,1,0,0,1,0,0,0,0,0,1,1,1,1,1,2,1,0,0,1,0,1,0,0,2,1,1,1,0,1,0,0,1,0,0,1,2,0,2,2,0,1,0,0,0,1,2,1,1,1,1,0,1,1,0,0,0,0,0,2,2,1,0,1,1,0,0,0,1,0,1,0,0,0,1,2,0,0,0,0,1,0,1,2,1,1,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,1,2,0,0,2,1,1,1,2,0,0,0,1,0,0,0,0,0,0,0,2,1,1,1,0,2,1,1,0,0,2,0,0,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,2,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,1,2,1,2,0,1,0,0,0,2,0,2,1,2,0,0,1,1,0,2,0,1,0,0,0,1,0,2,1,2,0,0,2,0,0,0,1,2,0,1,0,0,0,1,0,1,0,0,1,0,2,1,1,1,1,0,0,1,1,0,1,1,0,0,1,2,0,0,1,1,0,1,0,0,2,0,0,0,2,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,1,1,1,1,0,0,1,2,0,0,1,1,2,1,0,1,1,0,0,1,0,2,0,0,1,0,0,0,1,0,0,2,0,0,0,1,1,0,2,2,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,2,1,0,1,0,1,1,0,1,0,1,1,0,1,0,2,1,1,2,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,1,1,1,0,2,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,2,2,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,1,1,0,1,1,0,0,1,2,1,2,1,0,0,0,0,2,1,1,0,0,1,0,0,1,2,0,1,0,1,0,0,0,2,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,1,1,1,1,0,0,1,0,1,0,0,1,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,2,1,1,1,2,0,2,2,0,0,0,0,2,1,0,1,2,0,0,0,1,1,0,1,0,0,2,1,0,0,0,0,0,1,0,0,1,2,0,2,2,2,0,0,0,0,0,2,1,1,1,1,2,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,2,1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0,2,0,0,0,0,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0,1,2,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,2,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,2,0,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0 1,0,1,0,2,0,0,2,2,1,0,2,1,0,2,1,0,0,2,0,0,0,0,0,0,1,1,1,1,2,0,0,1,1,1,0,1,0,1,0,1,2,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,2,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,2,0,0,1,0,0,1,1,2,0,0,0,0,0,0,2,0,2,2,1,1,2,0,0,0,0,1,0,1,0,2,0,0,0,1,2,0,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,2,0,0,0,0,0,1,2,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,2,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,2,0,0,2,0,0,0,0,1,0,2,0,2,1,1,0,0,2,0,1,1,0,1,1,0,0,2,1,0,0,0,0,0,1,2,0,0,1,1,0,1,1,2,0,0,2,1,1,0,2,0,1,0,0,0,0,1,1,1,0,0,0,2,2,0,0,0,1,2,0,0,0,1,1,1,2,0,0,0,1,1,2,1,1,1,0,0,0,0,2,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,2,1,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0,1,2,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,2,0,2,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,1,0,2,1,0,0,0,0,2,0,0,2,1,0,1,2,0,2,1,2,0,0,0,2,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,2,1,1,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,2,0,1,2,1,0,1,0,0,0,1,0,1,0,0,2,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,2,0,1,0,0,2,2,1,1,2,0,0,0,2,1,0,0,1,0,1,0,0,1,2,0,1,1,2,2,2,1,1,1,0,2,2,0,0,1,0,2,0,1,1,2,1,0,2,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,2,0,1,1,0,0,2,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,1,1,0,1,0,1,0,0,2,1,1,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,1,1,0,1,2,2,0,1,0,1,0,1,0,1,1,1,0,2,0,0,2,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,2,0,0,0,0,1,0,1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0,2,0,1,0,1,1,1,0,0,1,1,2,0,2,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,1,1,1,1,0,1,1,1,2,2,0,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,2,0,1,1,0,1,1,0,1,0,1,0,0,2,2,0,0,1,0,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,2,0,1,0,2,2,1,0,0,0,0,2,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,2,0,0,0,2,2,1,0,0,0,0,1,0,0,2,1,1,0,0,0,0,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,1,1,2,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,1,0,1,1,0 0,0,1,1,1,0,0,1,1,1,0,0,0,0,1,1,2,0,0,0,0,1,1,0,0,2,1,1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,2,0,1,0,1,1,0,1,0,2,1,0,0,0,1,0,1,0,0,0,2,1,1,0,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,2,0,0,0,0,0,0,2,0,2,1,0,0,0,1,0,1,1,2,1,0,1,1,2,1,1,1,0,0,1,1,2,0,0,0,0,0,0,1,0,1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,2,0,0,1,0,0,0,0,0,1,1,1,0,2,1,0,1,2,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,2,0,0,1,0,0,0,0,2,1,0,2,0,1,0,1,0,0,1,0,0,0,2,1,1,0,2,0,1,1,0,0,0,0,0,0,1,0,0,1,2,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,2,2,0,1,0,0,0,0,0,2,2,0,0,0,0,2,0,1,0,1,0,1,1,1,2,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,2,1,0,2,0,0,2,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0,1,0,1,0,2,1,0,1,1,0,0,2,0,0,0,0,2,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,2,1,0,1,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0,2,0,1,0,0,0,0,1,1,1,0,0,0,2,0,2,2,0,0,0,0,0,0,2,1,1,0,1,0,0,1,1,0,0,0,0,0,0,2,0,0,1,0,0,1,1,1,2,0,2,0,0,0,2,0,0,0,0,1,1,0,0,0,1,0,2,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,2,1,0,0,0,0,0,1,0,1,2,0,0,0,1,0,0,0,2,1,1,0,1,0,1,1,0,0,1,0,0,2,1,0,1,1,1,1,1,0,1,1,1,1,0,1,1,1,0,1,2,0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,1,0,0,2,1,0,0,0,2,1,1,2,0,2,0,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,1,1,1,2,2,0,0,0,2,0,1,0,1,0,0,1,0,2,0,1,2,1,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,2,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,1,2,0,1,0,2,1,1,0,1,0,0,1,0,0,1,0,0,0,1,2,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,2,1,1,1,0,0,0,0,0,1,0,1,2,1,0,2,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,2,1,0,0,1,0,0,0,2,0,1,1,1,0,0,2,1,0,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,2,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,2,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,2,1,0,1,0,1,1,0,2,0,0,1,0,0,1,1,0,1,0,0,1,1,2,1,1,0,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0 2,0,0,0,2,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,1,1,0,2,0,1,1,2,1,2,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,2,1,1,2,0,0,0,0,0,2,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,1,2,0,0,1,0,2,0,0,1,0,0,0,1,1,0,2,0,0,2,0,2,1,0,0,0,0,1,1,0,0,1,0,1,0,2,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,1,0,2,1,0,0,0,1,1,0,1,0,0,2,0,1,2,0,1,0,1,0,1,0,0,1,0,0,0,1,2,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,2,0,0,1,0,1,1,1,0,1,2,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,1,2,0,1,0,0,1,1,0,0,1,0,0,0,2,0,1,0,1,2,0,0,2,1,1,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,1,1,2,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,2,0,0,2,1,0,0,0,0,2,1,1,1,1,0,0,1,1,0,0,0,1,2,0,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,2,0,1,0,0,1,0,0,0,0,1,0,0,2,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,1,1,0,0,0,2,2,0,0,0,1,0,2,1,1,0,2,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,1,2,1,0,0,1,0,2,1,1,0,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,1,0,1,1,0,1,2,0,1,1,0,0,2,0,0,0,0,0,0,0,1,0,1,1,0,0,0,2,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,2,0,2,1,2,1,0,0,2,1,1,1,1,0,0,1,2,0,0,1,0,0,1,0,0,1,0,1,0,2,2,1,0,1,1,0,0,1,0,1,0,2,1,1,0,0,0,2,2,2,0,0,0,0,2,0,1,1,0,0,1,1,0,2,0,0,1,1,1,0,1,0,1,1,2,1,0,0,2,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,1,2,0,0,0,2,0,0,1,0,1,0,0,0,1,0,2,0,0,0,1,0,0,1,1,1,1,2,0,0,0,0,0,1,1,0,2,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,2,0,0,1,2,1,0,0,1,0,0,1,2,0,0,0,1,1,2,0,0,0,0,0,1,2,0,1,1,1,1,0,0,1,2,0,0,0,0,0,2,0,0,1,0,0,0,0,1,1,0,0,2,0,0,0,0,1,0,0,1,0,1,0,1,0,1,1,0,2,1,0,1,1,0,0,1,0,0,1,1,2,1,0,1,1,0,0,1,1,0,0,0,1,0,2,1,0,1,1,1,0,0,2,1,1,0,0,1,0,0,0,1,1,0,0,1,0,2,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,2,2,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0,1,1,1,1,0 1,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,2,0,2,0,1,1,0,2,1,0,0,1,1,0,2,0,0,0,1,0,2,0,1,1,0,0,0,2,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,2,1,1,0,0,0,0,0,1,2,2,0,1,1,0,0,1,0,1,0,0,0,2,0,1,1,0,0,0,2,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,2,2,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,1,2,0,0,0,0,1,1,0,1,0,0,1,1,1,0,0,2,0,1,0,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,2,0,1,0,1,0,0,0,1,2,0,2,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,2,1,1,0,0,0,1,0,0,2,0,1,0,1,0,1,0,1,2,1,1,2,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,1,1,1,0,0,1,0,0,2,0,0,1,0,0,1,0,1,2,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,2,1,0,0,2,1,1,0,0,2,1,0,0,0,0,0,1,2,1,0,1,0,1,2,0,1,2,0,0,1,1,2,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,2,0,2,1,0,2,1,2,0,1,0,0,1,0,0,1,0,1,2,1,0,0,1,2,0,0,0,0,0,2,0,0,1,1,1,0,1,1,0,1,1,2,1,0,0,1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,1,2,1,0,0,1,1,0,0,0,0,2,0,1,2,2,1,1,0,0,2,0,0,1,1,0,1,0,0,0,1,0,0,0,2,0,1,0,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,1,1,2,2,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,1,2,2,0,0,0,0,0,0,2,1,0,0,1,0,0,2,0,0,0,2,0,1,1,2,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0,0,2,2,0,1,1,0,1,1,2,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,1,1,1,1,1,2,0,0,0,1,0,1,0,0,0,2,0,0,2,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,2,0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,1,1,0,0,2,0,0,1,1,0,2,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,1,1,1,2,1,0,0,0,0,0,0,0,0,0,2,0,1,0,1,1,2,0,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,2,1,0,1,0,1,1,1,1,2,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,2,0,0,0,1,0,1,2,1,0,0,2,0,0,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,2,0,0,0,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,2,0,0,2,0,0,0,1,0,1,0,0,1,1,0,0,2,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,2,0,1,0,1,1,2,0,0,1,0,0,0,1,0,1,1,1,1,0 0,0,1,1,2,1,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,1,2,0,0,1,0,0,1,1,0,0,0,0,0,0,2,2,0,2,0,1,0,0,0,0,1,2,1,0,0,0,0,1,0,0,1,1,0,0,1,2,1,1,1,2,1,0,1,0,1,0,0,1,0,0,0,1,1,2,0,0,0,0,2,1,0,1,0,0,0,1,1,1,0,0,2,0,0,0,0,0,1,1,0,0,2,1,0,0,0,1,0,1,0,1,2,1,0,1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0,2,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,1,2,0,1,0,0,0,0,1,1,1,1,1,0,0,0,1,0,1,0,1,1,1,0,2,1,1,0,0,0,0,1,0,0,1,1,1,2,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,2,1,0,0,0,1,0,0,2,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,2,0,0,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1,1,2,0,0,1,0,0,1,0,1,0,1,0,2,2,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,2,1,1,1,0,1,2,0,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0,2,1,1,0,2,1,1,0,1,1,0,1,1,0,2,1,0,1,0,1,1,0,0,0,0,2,0,1,1,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,1,0,2,2,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,1,0,0,2,0,0,0,0,0,0,1,0,1,1,1,0,1,0,0,2,0,0,0,1,1,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,1,0,1,1,0,0,1,0,2,0,1,0,1,1,2,0,1,0,0,1,1,2,0,1,1,1,0,0,1,1,0,0,0,1,0,2,0,1,1,0,0,0,1,0,0,0,1,0,2,2,0,0,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,1,1,0,0,0,2,1,0,1,2,0,0,2,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,0,1,0,2,1,1,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,2,0,0,0,0,0,0,2,1,2,2,1,1,0,0,0,2,1,1,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,0,1,0,2,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,2,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,1,1,1,1,2,1,0,2,2,1,1,0,0,0,1,0,0,0,0,1,0,0,2,0,0,0,0,1,2,1,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,2,1,1,1,0,0,1,0,1,0,2,0,0,0,1,1,0,1,0,1,0,0,2,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,2,1,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,2,0,2,0,0,1,1,0,0,0,2,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,2,0,0,1,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,2,1,1,0,0 1,1,0,0,0,0,1,0,0,0,0,1,0,0,2,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,2,1,1,1,1,0,0,0,0,0,2,0,0,0,2,0,1,0,2,0,0,0,0,1,0,1,0,1,0,0,2,1,2,1,0,1,1,0,0,1,0,0,1,1,0,1,1,0,2,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,2,2,2,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,2,2,0,2,0,1,1,1,1,0,0,0,0,1,0,1,1,2,0,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,2,0,0,1,2,0,0,0,0,0,1,2,0,1,0,2,0,0,1,1,1,2,1,1,2,0,2,0,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0,0,2,0,1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,2,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,1,2,0,0,0,2,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,2,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,2,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,2,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,2,1,0,1,1,0,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,2,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,1,0,2,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,2,2,0,0,2,0,0,0,0,1,0,2,2,0,0,1,0,0,0,1,1,0,0,0,1,0,1,1,1,1,0,1,1,0,1,2,0,1,0,0,1,0,1,0,0,1,1,1,1,0,1,0,0,1,2,1,2,2,2,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0,2,0,1,1,0,0,0,0,2,0,1,0,0,0,0,1,0,2,0,0,0,1,0,0,0,0,2,2,0,1,1,1,0,1,1,1,1,2,0,0,0,0,0,1,1,1,1,0,1,0,0,1,1,0,1,1,2,1,1,0,1,1,1,0,0,0,1,0,0,2,1,1,0,1,0,1,2,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,2,1,1,1,1,1,1,2,1,1,0,1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,1,1,2,0,1,0,0,0,1,0,1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,2,1,1,1,2,0,0,0,0,0,1,1,2,2,1,0,0,1,0,2,0,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,2,1,0,1,0,0,2,1,0,2,1,0,2,0,0,0,0,0,0,1,1,1,2,0,0,1,1,1,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,1,1,0,1,0,0,2,2,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,2,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,2,1,1,0,1,0,1,1,0,1,0,1,0,0,2,2,1,2,1,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0 0,0,1,2,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,2,2,1,0,1,0,2,0,0,0,0,0,1,0,1,1,0,1,0,0,0,2,1,1,0,0,0,0,0,0,2,2,1,1,0,0,1,0,0,2,0,1,1,0,2,1,0,2,0,0,1,0,0,1,0,0,0,2,1,0,0,0,2,0,0,1,1,0,0,0,1,0,2,0,0,1,2,0,1,0,0,1,0,0,1,1,0,0,0,2,0,1,2,1,1,2,0,1,0,0,0,0,2,0,1,1,1,2,1,0,1,1,0,1,1,0,1,1,0,0,0,2,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,2,1,0,1,0,2,0,2,0,1,1,1,0,0,0,1,1,0,0,1,1,2,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,2,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0,0,1,1,1,1,0,1,0,2,0,0,2,0,0,0,0,0,1,0,0,0,2,0,0,0,0,2,0,0,1,1,0,0,0,0,0,1,0,0,0,0,2,1,1,1,0,2,1,2,2,1,1,2,1,1,1,0,2,0,1,0,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,1,2,0,0,0,1,0,0,0,1,0,1,2,0,0,0,0,0,0,0,2,0,1,0,1,1,0,1,1,0,1,1,2,0,2,0,1,1,1,1,0,0,0,0,0,0,2,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,2,1,1,2,0,1,0,1,0,0,0,0,0,1,0,0,0,2,0,1,0,1,0,0,0,0,0,0,2,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,2,0,0,1,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,1,1,2,2,0,0,0,0,0,0,1,1,0,0,2,0,2,0,0,0,0,0,1,1,1,0,1,0,2,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,2,0,1,0,1,2,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,2,1,0,1,1,0,0,0,1,0,1,2,0,0,0,1,2,0,2,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,1,2,1,1,1,1,1,0,1,0,2,0,0,0,1,0,1,1,1,1,0,0,0,2,0,0,1,2,0,0,0,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,2,0,1,0,1,0,2,0,1,1,1,2,0,2,1,0,0,1,1,1,2,0,0,1,0,2,0,0,1,0,0,1,1,1,1,1,0,1,1,1,0,0,2,0,0,2,0,0,2,0,0,1,2,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,2,1,0,0,0,0,1,0,1,1,1,0,0,0,0,1,1,1,2,0,0,1,0,0,0,0,1,1,0,0,0,1,2,1,0,0,2,0,0,0,0,0,1,0,0,1,1,2,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,2,0,0,1,0,0,0,0,1,1,2,1,0,0,0,1,1,0,1,0,0,0,2,1,0,0,0,2,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,1,2,1,1,0,1,2,1,1,2,0,0,0,0,1,1,0,0,1,0,0,0,1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0 0,0,0,1,0,0,1,0,1,1,2,0,0,2,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,2,0,0,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,2,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,1,0,2,1,0,0,0,0,1,0,0,0,0,2,0,0,1,2,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,1,2,0,0,0,0,2,0,1,0,0,1,0,1,1,0,0,0,2,0,2,1,2,0,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,1,2,2,0,0,1,1,0,0,0,0,1,1,0,0,0,1,1,0,2,2,0,0,0,0,2,1,0,1,1,0,0,2,1,1,2,0,0,2,1,0,0,1,0,1,2,0,1,0,2,1,0,0,0,1,0,2,0,1,0,2,0,1,1,0,2,1,0,0,0,1,1,0,0,1,1,2,0,1,0,0,1,1,1,1,2,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,2,0,1,0,1,1,0,1,0,0,1,0,2,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,1,1,2,0,0,0,0,0,2,0,1,1,0,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,2,0,0,1,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,1,1,0,0,0,2,1,0,1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,2,2,0,1,1,0,0,0,2,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,2,1,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,2,0,0,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,2,0,2,0,1,1,0,0,1,0,0,0,1,1,1,0,2,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,2,0,0,0,1,0,0,2,2,0,1,0,0,0,0,0,2,1,0,1,1,0,0,0,0,1,1,1,1,1,1,1,0,0,2,1,1,1,2,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0,0,2,1,1,1,0,0,2,2,0,0,0,0,0,0,1,2,1,1,1,0,1,0,0,2,0,0,2,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,1,2,0,1,0,0,0,0,1,0,0,0,2,0,1,2,1,1,0,0,0,2,0,1,2,0,1,0,1,1,0,0,1,0,1,0,0,0,2,1,1,0,1,2,1,1,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,1,2,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,1,1,2,2,1,0,0,2,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,2,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,2,1,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,1,0,0,0,0,0,0,0,1,0,1,2,0,0,1,1,1,0,0,2,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,2,0,0,1,2,2,0,0,1,0,0,2,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,2,0,0,0,0,0,2,0,1,0,0,0,0 2,0,0,2,0,1,0,0,1,0,0,0,0,2,1,0,0,1,1,0,0,0,0,0,1,1,0,2,0,0,0,0,2,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,2,1,1,0,0,0,1,2,0,0,1,0,1,0,1,0,1,2,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,2,0,0,1,0,0,1,0,0,1,1,2,1,0,0,0,1,2,0,0,0,0,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,2,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0,1,2,0,1,2,2,1,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,1,1,0,0,0,0,2,0,0,0,1,1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,2,0,0,2,0,1,0,0,0,1,1,0,1,0,2,0,2,1,0,0,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,2,2,1,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,2,2,0,0,2,0,0,1,0,0,1,0,2,0,2,1,1,1,0,1,0,1,0,0,0,0,0,2,1,0,0,2,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,2,1,0,0,0,0,1,1,1,0,0,0,1,2,1,2,1,1,0,0,0,1,0,2,0,1,0,0,0,2,0,1,1,1,0,0,0,1,0,0,1,0,0,0,2,0,0,1,0,1,0,2,0,0,0,0,1,1,0,0,0,0,2,0,0,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,2,1,0,1,1,0,0,1,0,0,0,1,0,1,1,1,1,1,0,1,0,0,1,1,2,0,1,0,0,1,0,0,1,1,2,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,1,1,1,1,2,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,1,2,1,0,1,1,1,0,0,0,1,0,1,1,1,0,1,0,1,1,1,0,0,0,1,1,0,2,0,1,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,1,1,0,0,0,0,2,0,0,0,0,0,1,0,1,1,0,0,2,0,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,2,1,2,1,0,1,1,0,0,0,1,0,1,0,1,1,1,2,0,0,1,1,1,0,1,0,0,0,1,2,0,1,1,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,2,0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,2,2,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,1,1,0,1,1,1,1,0,0,1,1,0,1,0,2,2,0,2,1,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,2,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,1,2,2,0,0,0,1,0,0,1,1,2,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,2,0,1,0,0,1,1,0,1,0,0,2,0,0,0,1,2,0,0,0,1,0,0,0,0,2,0,0,1,0,1,0,0,0,1,2,1,1,0,2,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,2,1,0,0,0,1,0,1,1,1,0,0,0,0,0,1,1,0,2,0,1,0,1,0,0,0,1,1,1,0,0,0,0,2,0,0,0,0 2,0,1,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,2,0,0,0,1,1,0,0,2,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0,1,2,0,2,1,1,0,1,0,0,1,1,0,1,2,0,0,1,2,1,1,1,0,0,0,1,1,1,0,2,0,0,0,1,1,2,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,2,1,2,0,0,1,1,0,0,0,0,0,1,0,2,0,1,1,0,0,0,1,0,1,1,0,0,0,2,0,0,1,1,1,1,1,2,0,0,0,1,2,0,2,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,2,0,1,0,1,1,1,0,1,0,0,0,1,0,0,2,0,2,1,0,0,1,1,0,0,1,0,0,0,0,1,0,2,0,1,0,0,0,0,1,0,1,1,2,1,1,1,2,0,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,2,1,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,1,1,1,0,2,0,0,0,1,2,0,2,2,1,1,0,2,1,0,0,0,0,2,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,2,0,1,0,0,2,0,1,0,0,1,0,0,0,1,0,2,2,0,1,0,1,0,1,2,0,1,1,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,2,1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,1,1,0,1,2,1,0,0,0,1,0,0,0,0,2,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,1,2,0,0,0,0,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,2,1,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0,1,0,1,1,0,0,0,2,1,1,0,0,1,0,0,2,1,0,0,0,0,0,2,0,2,1,2,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,2,0,1,1,0,0,1,0,1,1,1,0,2,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,0,1,0,0,1,1,0,0,1,0,2,0,2,1,0,0,1,2,1,0,2,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,2,1,1,0,0,0,1,0,1,0,1,0,0,0,2,2,1,0,1,0,1,1,0,0,1,0,0,2,0,0,1,1,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,2,0,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,2,0,1,1,0,1,1,0,0,1,0,2,0,0,1,1,1,2,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,2,0,0,0,0,2,2,0,1,0,0,0,1,0,1,2,1,2,1,2,1,0,0,0,0,0,0,0,0,1,2,2,0,1,1,1,1,0,0,2,0,0,2,1,0,1,1,1,0,1,1,2,0,0,0,1,0,1,0,0,1,1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,2,0,0,0,1,0,0,1,0,2,0,0,0,0,1,0,0,1,0,1,0,2,0,2,2,0,0,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,0,1,1,1,2,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,1,2,1,0,0,2,1,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,1,0,0,0,2,0,2,0,1,1,0,1,1,0,1,0,0,0,0 0,0,0,2,0,0,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,2,0,0,0,0,0,2,0,0,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,0,1,1,0,1,0,1,0,0,0,0,0,1,1,0,2,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,2,0,0,1,0,1,1,0,0,2,0,1,1,1,0,0,0,2,0,1,0,2,1,1,1,0,0,0,0,0,1,0,1,0,2,0,1,0,0,2,2,1,1,1,0,1,1,0,2,0,1,0,0,2,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,2,0,0,1,0,0,0,1,0,0,0,0,0,1,2,0,1,0,0,1,1,0,1,2,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,2,1,0,0,0,0,1,0,0,1,0,2,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,1,1,1,1,1,0,1,0,2,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,2,0,0,0,2,1,0,0,2,0,0,1,0,1,0,0,2,1,1,1,0,0,0,0,1,1,0,2,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,2,1,1,0,0,0,1,2,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,2,0,1,1,2,0,1,0,1,0,0,0,1,1,1,0,0,0,0,1,1,0,2,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,2,0,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,2,1,0,1,0,1,0,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,2,1,0,0,1,0,0,0,0,0,1,2,1,1,0,0,0,1,1,0,0,0,0,1,0,1,2,1,1,0,0,0,1,0,1,0,0,2,0,1,1,0,2,0,0,1,1,2,2,2,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,2,0,0,1,1,1,0,0,0,0,1,1,0,0,2,1,0,1,1,1,0,2,1,0,0,0,0,0,0,1,0,1,1,1,0,1,1,1,0,1,1,2,0,0,0,0,0,1,1,1,2,0,1,0,0,0,1,1,1,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,2,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,2,0,0,0,1,0,0,0,0,0,0,1,1,1,1,2,0,0,0,0,0,1,0,0,1,0,0,2,2,0,0,0,0,0,1,1,2,2,0,1,0,1,0,0,1,1,1,1,0,2,1,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,1,2,0,1,1,0,0,0,2,1,1,2,1,1,0,0,2,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,2,0,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,1,2,2,1,0,2,0,0,2,0,0,0,1,0,2,1,0,0,1,0,0,0,0,1,1,1,2,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,2,1,0,0,1,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,2,0,1,1,0 1,0,1,0,0,0,1,1,2,2,1,2,1,1,2,1,0,2,0,0,0,0,0,0,1,0,1,2,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,2,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,2,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,2,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,1,2,2,1,0,0,0,0,0,0,0,0,2,1,2,0,0,0,1,0,0,1,0,0,2,0,0,0,1,2,1,1,1,0,0,2,0,0,0,0,2,0,0,1,2,1,0,0,1,1,0,0,0,0,0,1,0,2,0,1,0,0,1,1,0,1,1,0,2,0,2,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,2,2,1,1,0,1,0,0,1,0,0,1,0,0,0,2,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,1,0,1,0,1,0,0,2,0,1,0,2,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,1,1,1,0,1,1,1,1,2,2,0,1,1,1,1,2,0,0,1,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,2,1,2,0,0,1,1,0,0,0,0,1,1,2,0,1,1,0,0,0,0,1,0,1,0,0,0,2,0,0,1,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,2,1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,2,0,0,1,1,0,0,2,0,1,1,0,0,2,0,1,0,0,0,1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,1,2,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,2,0,1,1,0,0,1,2,1,1,0,1,0,1,0,2,2,1,0,0,0,0,0,0,2,0,1,1,0,0,2,0,0,0,2,0,2,2,1,1,2,0,1,0,1,2,0,2,0,1,1,0,1,1,2,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,2,0,0,0,2,0,1,0,2,0,1,0,1,1,1,1,0,2,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,2,0,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,2,2,1,2,0,0,0,1,0,0,1,0,0,0,2,0,0,1,1,0,2,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,2,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,2,1,0,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,2,1,1,1,0,2,1,1,0,1,0,0,0,2,2,1,0,1,1,1,2,1,0,0,1,0,2,1,2,1,1,0,1,0,0,1,1,0,0,0,1,2,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,2,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,2,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,2,1,1,1,0,1,0,0,0,2,2,0,2,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,1,0,1,2,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,2,1,0,0,1,0,1,1,2,0,0,1,1,0,1,1,2,2,0,0,1,0,0,0,0,0,1,0,0,0 0,0,2,1,2,0,0,2,1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,2,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,2,1,1,2,1,0,0,0,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,2,0,1,2,1,0,0,0,0,0,0,0,1,1,1,0,0,2,0,0,0,0,1,0,1,0,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,1,1,2,1,0,0,0,2,0,1,0,0,1,0,0,1,0,0,0,0,2,0,1,0,2,1,0,1,2,2,0,0,0,1,0,1,1,0,1,0,0,1,0,1,1,1,1,2,1,0,2,1,1,0,0,0,2,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,1,0,1,1,1,0,0,1,0,2,2,0,0,2,0,0,0,0,1,1,2,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,2,1,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,2,2,0,1,0,0,0,2,1,0,0,1,0,1,2,0,0,1,0,0,1,1,0,1,1,0,1,2,0,1,2,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,1,1,1,1,2,0,1,2,2,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,2,0,1,0,0,0,1,2,0,0,0,1,0,0,0,1,1,0,0,0,1,1,2,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,2,1,0,0,0,0,0,1,1,0,1,1,0,1,1,0,0,0,2,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,1,2,1,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,2,1,1,2,0,1,0,1,0,0,0,2,0,2,0,0,1,0,2,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,1,2,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,2,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,2,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,2,1,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,2,2,0,2,1,1,1,0,0,0,0,0,1,1,1,1,0,0,1,1,1,0,2,0,0,0,0,0,2,0,1,1,0,1,1,0,2,0,0,1,1,0,0,1,0,2,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,1,2,1,1,0,0,1,2,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,2,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,2,0,0,1,0,2,1,0,0,1,0,0,1,2,0,0,0,1,1,0,1,1,0,0,2,0,2,0,2,1,1,0,1,1,0,1,2,2,0,0,1,1,0,0,1,0,1,1,0,0,0,1,1,2,0,0,0 1,0,0,0,1,0,1,0,0,0,2,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,2,1,0,1,0,0,1,1,0,0,1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,1,2,1,0,1,0,0,0,1,0,0,0,0,1,0,1,2,0,1,1,1,2,2,0,0,1,0,2,0,0,0,0,1,2,0,1,0,1,1,1,0,0,0,0,0,1,0,1,0,1,0,2,0,1,0,1,0,0,1,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0,2,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,2,1,0,0,0,0,0,0,0,0,1,1,0,1,0,2,0,0,0,2,0,0,1,0,2,0,2,0,0,2,0,0,0,1,1,1,1,0,0,0,1,0,0,0,1,1,1,1,0,2,0,0,1,0,1,0,2,1,0,1,0,0,2,1,0,1,1,0,1,0,0,2,1,2,2,0,0,2,0,1,0,1,2,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,1,1,1,1,0,0,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0,1,0,2,1,1,0,0,2,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,2,1,0,0,2,0,0,1,2,1,0,1,0,0,2,0,0,2,1,2,0,2,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,1,1,0,1,0,2,2,1,0,0,0,1,1,1,1,0,1,1,0,0,2,0,1,0,2,0,0,0,0,0,2,2,1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0,2,0,0,0,0,1,1,1,0,0,0,0,0,1,1,1,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,2,2,0,1,1,1,1,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,2,0,0,2,1,1,0,1,0,0,0,0,0,0,0,0,2,1,0,1,0,1,1,0,2,0,0,0,0,0,0,1,2,1,0,1,0,0,0,2,0,0,0,0,1,0,1,1,1,2,1,0,0,1,0,0,0,1,1,0,1,1,1,0,2,0,1,1,1,1,0,2,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,2,0,0,1,0,0,1,1,1,0,2,1,0,0,0,0,1,0,1,0,1,0,1,0,2,0,0,0,0,0,1,0,2,1,2,1,0,1,1,1,2,0,0,0,1,1,0,2,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,2,0,0,1,0,0,1,1,2,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,2,1,0,1,0,1,1,2,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,1,1,1,2,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0,2,0,1,0,1,0,0,0,0,1,1,0,2,2,0,0,1,1,1,0,0,0,0,2,1,0,0,1,0,1,0,1,0,0,0,0,2,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,2,0,0,1,0,0,0,2,1,2,1,0,1,0,0,0,0,1,0,1,2,0,0,0,0,1,0,0,1,0,0,2,0,1,0,1,0,1,1,1,0,1,0,1,2,0,0,0,0,0,0,1,2,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,2,1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,2,2,0,0,0,0,0,2,0,2,0,0,1,0,0,1,0,0,1,0,0,0,0,2,0,2,0,2,1,1,1,1,1,1,1,0,0,0,1,0,1,2,0,0,0 1,0,1,0,0,0,0,1,1,0,0,0,0,1,2,1,2,0,0,0,0,0,1,0,0,2,1,1,0,2,1,0,1,2,1,0,0,1,0,1,2,0,0,0,1,2,0,1,0,1,1,0,1,0,2,0,1,1,2,0,1,0,0,0,0,0,0,2,0,0,2,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,2,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,1,1,0,2,1,0,0,0,1,0,0,0,0,2,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,2,0,0,2,0,1,0,1,1,0,2,1,0,1,0,0,0,0,0,0,2,1,0,2,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,2,1,1,0,1,0,1,0,0,0,0,1,1,0,2,1,1,1,1,0,0,0,2,0,0,0,1,1,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,2,1,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,2,0,0,2,0,1,0,2,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,2,1,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,2,1,2,0,1,0,0,1,0,1,2,1,0,2,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,2,1,2,1,1,1,0,1,2,0,1,0,0,2,0,0,2,0,1,0,1,1,0,1,2,1,1,2,2,0,1,1,1,1,0,2,1,0,1,0,0,0,1,0,1,1,1,2,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,2,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,2,0,0,0,1,1,1,1,0,0,0,2,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,2,0,1,1,0,1,0,1,2,0,0,2,0,1,1,0,0,0,0,1,2,1,1,1,0,0,0,1,1,1,2,1,0,1,1,1,0,0,1,1,0,0,0,0,0,2,0,0,0,0,1,1,0,1,0,0,0,2,0,1,0,1,0,0,1,0,0,0,0,1,1,1,0,1,1,1,0,2,0,1,1,0,0,0,0,1,1,1,1,0,0,0,2,0,0,1,1,0,0,0,1,2,0,1,0,0,0,1,2,0,1,0,1,0,1,0,0,0,0,0,0,2,0,0,0,0,1,2,1,1,0,1,0,1,0,2,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,2,0,1,0,0,1,2,2,0,0,1,1,1,0,0,0,2,2,0,0,0,1,1,0,1,0,0,1,1,0,0,2,0,0,0,1,0,1,0,1,1,2,0,2,2,2,0,0,1,0,0,0,1,1,0,2,0,0,0,1,1,1,0,0,0,0,2,2,0,0,1,1,1,1,0,2,0,2,0,2,0,0,0,0,0,0,0,0,2,0,1,0,1,1,1,0,0,2,0,1,0,0,1,0,0,0,1,0,1,0,0,2,2,0,0,1,0,0,0,1,0,0,2,1,0,0,0,1,0,2,0,0,0,0,0,1,1,1,1,0,0,0,1,1,2,0,0,0,0,1,2,0,0,1,2,0,0,1,2,0,0,0,0,2,0,1,1,0,1,0,0,0,2,0,1,0,0,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,1,0,1,2,1,1,0,2,1,0,0,0,0,1,2,0,0,0,1,0,0,0,2,0,1,1,1,1,0 1,0,1,2,0,1,0,1,0,1,0,1,0,2,0,0,0,0,1,0,1,0,0,1,1,1,1,0,0,1,2,0,0,1,2,0,1,1,0,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,2,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,2,2,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,1,1,0,0,1,2,0,0,0,2,0,0,0,1,2,1,2,0,0,1,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,2,1,0,0,2,0,2,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,2,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0,0,0,1,1,1,0,1,1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,2,1,1,0,0,0,0,1,0,0,0,0,0,1,2,1,1,0,1,1,1,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,2,0,0,0,0,1,2,0,0,0,1,0,2,0,0,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,2,1,0,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,1,2,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0,1,0,1,1,0,2,2,0,0,1,1,0,0,1,1,1,1,0,2,0,0,0,0,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,1,1,1,0,1,1,2,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,2,1,0,0,1,0,0,1,0,0,2,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,2,2,0,0,0,1,2,2,0,0,0,1,0,0,1,1,2,1,2,0,0,0,1,2,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,1,2,1,1,0,1,0,1,0,0,0,1,1,2,0,2,2,0,2,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,1,2,1,0,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,2,0,1,0,1,0,1,1,0,0,2,1,1,0,0,0,2,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,2,1,1,1,1,1,0,0,1,0,1,0,2,0,1,0,0,2,0,2,0,0,0,0,2,0,0,1,0,1,0,1,0,0,2,1,0,0,0,0,0,1,1,2,0,1,0,1,0,0,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,2,0,1,2,0,0,1,1,1,0,2,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,2,1,0,0,2,0,1,2,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,2,0,1,1,0,1,2,1,1,2,0,0,0,0,1,0,0,2,0,0,1,0,0,0,2,0,0,0,2,1,0,0,0,0,0,2,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,2,1,2,0,0,0,1,0,2,1,0,2,0,1,0,1,0,0,2,0,0,0,1,0,0,0,1,2,1,0,0,2,0,2,0,0,0,0 0,0,1,1,0,0,0,2,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,2,0,0,1,0,0,1,1,1,0,0,1,0,0,2,1,0,0,0,1,1,0,0,0,1,0,1,1,1,2,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,2,1,0,0,0,0,0,1,0,0,1,0,1,1,1,2,1,0,0,1,2,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,2,0,1,1,1,1,1,0,2,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,1,2,0,0,0,1,0,2,1,2,0,1,0,0,1,1,1,2,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,1,0,2,1,0,0,0,0,1,2,0,0,0,1,1,2,1,0,0,1,1,0,0,0,0,0,2,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,2,2,0,1,0,2,0,0,0,1,0,0,0,0,0,0,1,0,2,0,1,0,2,0,1,0,1,0,0,1,1,0,0,0,1,0,1,1,1,0,0,2,0,2,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,2,1,1,1,2,1,1,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,1,1,1,1,2,0,0,0,0,1,1,2,1,0,1,0,0,2,0,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,2,2,0,1,0,0,0,0,0,0,0,0,0,2,1,0,2,0,1,0,1,0,1,0,0,0,1,1,0,0,2,0,0,2,0,0,2,2,1,0,0,0,0,0,1,0,1,1,0,1,2,0,0,0,0,0,0,0,0,1,0,1,0,2,0,0,1,0,0,0,0,0,1,0,0,0,2,0,0,1,1,0,2,0,0,1,1,1,0,1,0,1,0,0,0,0,2,0,1,0,0,1,0,1,0,1,0,0,0,2,0,0,0,0,2,0,0,1,1,1,0,2,1,1,0,0,0,1,0,0,1,1,1,1,1,0,1,0,2,0,1,0,1,1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,2,1,1,0,0,1,0,2,1,0,1,0,0,0,0,0,1,1,0,2,0,0,0,2,1,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,2,0,0,0,1,1,0,0,0,0,2,1,0,1,1,0,1,1,1,1,2,1,2,1,2,1,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,2,1,0,0,0,1,0,1,0,0,0,2,0,0,1,0,1,0,2,0,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,2,0,0,0,0,1,2,0,0,0,0,0,0,2,2,1,2,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,2,0,1,0,0,0,0,1,1,0,0,2,0,0,0,0,1,0,0,2,2,1,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,2,0,0,0,0,0,1,0,2,1,1,1,0,2,0,2,1,0,2,0,1,0,1,2,0,1,0,0,0,1,1,1,0,0,0,1,2,1,0,1,1,0,1,1,1,0,0,0,1,1,1,2,0,0,1,0,0,1,0,1,0,0,1,0,1,0,2,0,0,0,0,0,2,2,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,2,0,0,0,0,0,2,1,0,0,0,0,0,2,1,0,1,1,0,1,2,1,2,2,0,1,0,1,0,1,0,0,1,0,0,0,2,0,1,2,0,0,0 1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,2,1,1,1,0,0,0,0,0,1,2,1,0,0,0,1,1,2,0,1,1,1,1,2,0,0,0,0,0,0,0,1,1,0,0,0,2,0,1,0,2,0,0,0,0,2,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,1,1,0,0,0,1,2,0,1,2,0,1,2,0,1,1,2,0,0,1,0,0,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,2,1,0,0,2,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,2,1,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1,0,1,0,0,2,0,0,1,2,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,2,1,1,0,0,0,1,0,1,0,0,0,0,2,0,0,1,0,1,0,1,1,0,0,1,2,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,2,1,0,2,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,2,0,2,2,0,0,1,1,0,1,2,0,0,1,1,1,2,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,2,1,0,1,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,2,0,0,1,0,1,0,0,0,0,1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,1,1,0,2,1,1,1,0,0,0,0,0,1,1,1,2,0,0,0,0,2,0,1,1,0,1,0,0,1,0,0,1,1,0,2,1,0,0,0,0,1,0,1,0,1,0,0,1,1,1,0,2,0,0,0,1,0,1,0,0,1,2,0,0,0,1,0,1,0,0,0,0,1,1,0,2,0,0,0,0,0,1,0,2,0,1,2,1,0,0,0,1,1,1,0,0,1,0,1,0,2,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,2,1,1,0,1,0,0,0,0,2,0,0,0,1,0,2,0,1,0,1,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,2,0,2,2,0,0,0,1,0,1,2,0,1,0,1,1,2,2,0,1,1,0,1,2,0,1,1,1,0,2,1,1,1,0,0,0,1,0,2,1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,2,0,0,0,1,0,0,2,1,0,1,1,0,0,1,2,0,2,0,0,0,0,1,0,2,0,1,0,2,0,0,0,1,0,0,1,0,2,1,1,1,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1,2,0,0,1,0,1,1,0,0,1,0,2,0,0,0,0,2,0,1,0,1,1,2,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,1,1,0,1,1,1,0,1,1,0,2,0,0,0,0,0,1,0,1,0,2,0,1,0,0,2,0,0,1,0,0,1,1,1,0,0,2,2,2,1,0,0,1,0,2,0,0,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,2,2,2,1,1,1,0,0,1,0,0,0,2,1,2,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,1,1,2,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,2,0,2,0,1,0,1,1,0,1,1,0,0,0,0,0,2,1,1,0,0,0,0,0,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,1,2,0,2,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,0,2,0,0,2,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,1,2,1,0,1,1,0,0,2,0,1,0,1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,2,0,0,0,0,1,0,0,0,0 1,0,1,1,2,0,0,1,1,0,2,0,2,0,1,0,0,2,0,0,1,0,1,0,0,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,1,1,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0,2,1,2,1,1,1,0,0,1,1,0,0,1,0,2,0,1,2,0,0,2,1,0,0,1,0,0,0,1,0,1,0,1,0,0,1,0,2,2,1,0,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,2,0,0,0,1,0,0,1,1,2,0,2,0,1,1,0,2,1,0,0,0,0,2,1,0,0,1,1,0,0,1,0,1,2,0,2,0,1,0,2,2,0,0,0,0,0,0,1,1,1,1,2,0,0,0,0,0,1,1,0,1,0,0,1,0,1,2,1,0,0,0,1,0,1,0,0,0,0,2,0,2,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0,1,1,1,2,0,0,0,1,0,1,1,2,0,0,0,1,1,2,1,0,0,0,2,0,1,1,0,0,0,1,0,2,1,0,0,0,2,1,0,0,1,0,1,2,2,0,0,2,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,1,1,1,0,0,0,2,1,0,0,1,0,0,1,2,0,0,0,0,2,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,1,1,0,0,0,1,1,1,0,2,2,0,0,0,1,1,0,0,0,2,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,1,2,0,0,0,1,2,0,2,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,2,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,2,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,2,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,1,0,0,1,1,2,1,1,0,0,0,0,0,1,0,0,2,0,1,1,2,1,0,0,0,1,1,2,0,0,1,2,0,0,1,0,0,1,0,1,1,1,2,0,0,0,0,0,2,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,2,1,0,0,1,1,1,1,1,1,0,2,1,0,0,1,1,0,1,0,0,1,0,1,0,2,0,0,1,0,0,0,0,0,1,0,2,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0,2,0,0,0,1,0,1,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0,2,2,1,1,0,0,1,0,0,0,0,1,1,0,1,1,0,0,1,1,0,1,2,0,1,2,0,0,1,0,0,0,0,2,0,2,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,1,1,1,0,0,1,0,0,0,0,1,0,2,1,0,0,1,1,2,1,0,0,2,0,0,1,1,0,1,1,0,0,0,2,1,0,0,0,1,1,1,0,0,0,0,0,0,0,2,0,1,1,2,0,0,1,1,0,0,1,0,0,0,0,2,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,2,1,1,2,1,1,0,1,0,1,1,2,2,2,0,1,0,0,0,1,1,0,1,0,1,0,0,1,2,1,1,0,0,0,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,1,0,0,1,1,0,0,2,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0 2,0,1,1,0,0,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,2,0,0,1,2,0,1,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,1,0,0,2,2,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,2,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,2,1,0,0,2,1,1,0,0,1,0,1,1,1,1,0,0,0,0,2,1,0,1,1,1,2,0,1,1,0,0,1,0,0,1,2,1,1,1,0,0,1,1,2,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,1,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,2,0,1,0,1,1,0,1,1,0,0,0,0,0,1,1,1,2,0,1,0,1,2,0,0,0,1,2,0,0,0,0,0,1,0,1,0,0,0,0,0,2,1,1,2,1,0,2,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,2,1,0,0,0,2,2,0,0,1,0,2,2,1,1,1,0,0,1,1,0,0,2,0,0,1,0,2,1,0,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,2,0,0,1,1,0,0,0,2,1,1,0,1,0,0,2,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,2,0,0,1,0,1,2,2,0,0,0,1,0,0,0,0,2,0,1,2,1,0,1,0,0,0,1,0,1,0,1,0,2,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,1,0,1,1,1,2,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,2,0,0,2,0,0,1,0,0,1,1,1,0,1,1,1,1,0,2,0,0,0,0,1,1,1,1,0,1,0,0,1,0,2,0,2,0,0,0,0,2,0,0,0,0,0,1,2,0,1,1,0,1,0,0,2,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,1,1,0,0,2,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,2,0,0,1,0,0,0,2,1,1,0,0,1,0,0,2,0,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,1,1,2,0,1,2,1,2,1,0,1,0,0,1,1,1,1,1,2,1,0,2,2,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,1,1,0,0,2,2,1,0,2,0,0,1,2,0,2,0,0,2,1,0,0,1,0,0,0,0,0,1,0,2,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,2,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,1,1,1,2,0,1,0,0,1,0,2,0,0,0,0,0,2,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,2,0,1,0,1,1,2,0,0,0,0,0,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,2,0,2,1,0,1,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,1,1,2,0,2,0,0,0,1,0,2,2,1,1,1,1,1,0,0,2,1,1,0,0,0,0,0,0,1,1,2,0,0,0,2,0,0,0,1,1,0,1,2,2,0,0,2,1,1,0,0,1,0,1,1,2,1,0,0,1,0,0,1,0,0,0,1,2,0,1,1,1,1,0,2,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,2,2,0,1,0,1,1,2,1,0,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,1,0,0,2,0,1,0,0,0,0,2,1,0,0,1,0,1,0,0,1,2,0,2,0,0,0,0,1,0,1,1,2,1,0,2,1,1,0,0,1,0,1,1,1,2,0,0,1,0 0,1,0,0,2,0,0,1,0,0,2,0,2,1,0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,2,1,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,2,0,0,1,0,0,2,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,2,2,0,0,0,0,0,1,0,2,0,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,2,0,0,1,1,0,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,2,0,0,1,0,2,0,0,0,0,1,0,0,0,0,1,1,0,2,0,2,1,0,0,0,2,0,1,0,2,1,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,1,2,1,0,1,1,1,0,1,0,2,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,2,2,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,2,1,0,0,0,1,0,1,2,1,1,1,0,0,1,0,0,2,0,0,0,0,0,1,1,0,1,2,0,1,2,1,0,0,1,0,0,0,0,0,1,1,0,0,0,2,0,0,2,0,1,0,0,2,2,1,1,0,1,0,0,0,1,0,0,1,1,2,0,1,1,0,0,0,0,2,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,2,0,0,2,0,0,0,1,1,2,1,0,0,2,0,0,0,2,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,1,1,1,1,1,0,2,1,0,0,0,0,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,2,0,0,1,0,0,0,1,1,1,0,1,1,0,1,1,1,0,2,0,1,1,2,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,2,1,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,2,1,0,1,1,0,0,1,0,1,2,0,1,0,0,0,1,1,1,0,2,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,2,2,0,1,1,1,0,1,0,1,0,0,1,1,0,2,2,1,0,0,1,2,1,0,0,0,0,1,0,0,0,1,0,0,2,0,1,1,0,1,1,2,2,0,1,0,2,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,2,0,0,1,0,1,0,1,0,2,1,1,2,0,0,0,2,0,0,1,0,2,0,1,0,0,0,1,0,1,2,1,0,1,0,0,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,2,1,0,2,0,2,1,0,0,0,0,0,0,1,2,0,2,2,1,0,0,1,2,1,0,1,1,0,1,0,0,0,0,0,0,0,2,0,1,1,1,1,0,1,0,1,0,0,2,1,0,1,0,0,1,1,0,1,2,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,2,0,0,1,1,2,0,1,0,0,2,1,0,1,1,0,0,0,0,1,0,0,0,0,0,2,1,1,2,0,0,0,2,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,2,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,2,1,0,1,0,1,1,1,0,2,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0 0,0,1,2,1,1,2,1,2,2,2,0,0,1,1,0,0,1,0,0,0,1,0,1,1,2,0,1,0,1,0,1,0,1,0,0,1,0,0,0,2,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,0,0,1,0,1,0,2,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,2,1,0,1,1,0,1,2,1,0,0,1,0,0,0,1,0,0,2,1,0,1,1,0,0,0,1,2,0,0,2,2,1,0,0,1,1,1,0,0,0,0,0,0,1,1,1,1,1,0,1,0,0,0,0,2,0,1,0,0,1,0,0,0,1,0,2,0,0,1,0,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,1,1,0,1,0,0,1,1,2,0,1,0,1,2,2,0,1,0,1,1,0,1,0,1,0,0,1,0,1,2,1,2,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,2,2,2,2,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,2,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,2,2,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,2,0,1,2,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,2,0,1,0,0,1,0,0,0,0,1,1,1,0,1,0,2,0,1,0,1,1,1,0,1,0,1,1,0,0,2,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,2,2,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,2,0,1,0,0,1,1,0,0,0,0,0,0,2,2,0,1,2,0,0,1,0,0,0,0,1,2,1,0,0,0,2,2,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,2,1,0,1,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,2,0,0,1,2,1,2,1,1,1,0,0,2,2,1,1,2,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,2,0,0,2,1,1,2,0,0,1,0,0,1,0,0,0,2,0,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,2,0,1,1,0,0,2,0,2,0,1,1,0,0,1,1,0,0,0,0,0,0,0,2,1,0,1,1,1,0,1,1,0,1,0,2,0,1,0,1,1,2,0,2,0,0,0,1,2,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,2,1,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,1,2,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,1,0,1,1,2,0,0,0,1,2,2,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,2,0,1,1,0,2,2,1,1,0,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,1,0,2,1,0,0,0,0,0,1,2,2,1,0,0,1,1,1,0,1,2,0,0,0,0,2,0,1,1,2,2,1,0,1,1,2,0,1,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,0,1,0,2,1,1,0,0,0,0,0,1,1,2,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,2,0,2,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0 0,0,0,1,1,0,0,0,0,1,1,0,1,1,2,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0,1,1,0,1,0,1,2,1,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,1,2,1,0,1,0,2,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,1,1,0,2,0,0,1,1,1,1,1,0,1,1,1,2,2,1,0,0,0,0,1,1,1,0,0,1,0,0,1,2,0,0,1,0,2,1,1,1,1,1,1,0,1,0,0,0,2,2,1,1,1,0,1,0,0,0,1,2,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,1,1,2,2,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,2,0,0,0,0,0,0,2,1,0,2,0,1,1,1,1,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,2,0,1,1,2,1,0,0,0,0,1,1,0,1,0,1,0,1,1,2,1,0,0,2,1,0,0,0,1,1,2,0,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,2,0,0,1,1,2,0,1,0,0,0,0,0,1,0,1,1,2,0,2,0,0,0,0,1,0,1,2,0,1,0,1,0,1,1,1,1,1,2,2,0,0,0,0,0,1,1,0,2,0,1,0,1,0,2,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,2,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,2,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,1,1,1,2,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,1,2,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,1,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,2,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,2,1,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,2,0,1,1,0,0,0,1,0,2,0,0,0,0,1,0,2,0,0,0,1,2,0,0,0,0,1,1,2,1,1,1,1,1,1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1,2,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,2,2,2,0,0,0,1,0,0,1,0,0,2,1,0,2,1,1,0,1,0,1,0,0,0,1,1,1,0,0,1,1,1,0,0,2,1,1,0,0,1,0,0,0,1,1,0,2,1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,2,0,2,0,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,2,0,0,0,0,2,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,2,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,1,2,0,0,0,0,1,0,0,1,2,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,1,1,1,1,0 1,0,0,1,1,1,0,0,1,1,0,0,0,1,2,1,0,1,0,0,0,0,0,0,2,1,0,1,0,1,2,0,1,2,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,1,2,0,1,0,1,0,0,2,1,0,0,0,0,0,0,2,1,0,2,0,0,1,0,0,0,0,1,0,1,1,0,0,0,2,1,2,0,2,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,2,2,2,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0,1,2,0,0,0,0,0,0,0,2,0,0,0,0,1,2,0,1,0,0,2,0,0,0,2,1,0,1,0,0,0,0,2,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,2,1,1,1,0,0,1,1,0,2,1,0,0,0,1,0,1,2,0,2,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,1,2,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,2,0,0,0,1,1,0,0,0,0,2,0,0,1,0,1,0,1,0,1,0,0,0,0,2,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0,1,1,1,0,1,2,0,0,0,0,0,1,0,0,0,0,0,1,0,2,1,0,0,0,1,1,0,1,1,0,0,0,2,0,0,0,1,1,0,0,2,1,1,1,1,1,0,0,1,1,2,0,0,0,0,1,0,2,0,0,0,0,1,2,0,1,0,1,0,0,0,1,0,0,1,1,1,0,1,1,1,1,1,0,1,0,2,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,1,2,1,0,1,1,0,0,0,2,1,2,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,2,0,1,0,1,1,2,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,2,0,1,0,0,1,0,0,2,1,0,1,0,1,2,0,0,1,0,2,0,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,1,0,1,2,1,1,0,0,2,0,1,1,0,0,2,0,1,0,1,1,1,2,1,2,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,2,0,2,0,0,2,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,1,1,0,2,0,0,1,0,0,0,1,0,1,0,1,2,1,0,1,0,1,0,0,1,0,0,2,1,0,1,2,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,2,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,1,1,2,0,1,0,0,0,0,1,2,0,1,0,2,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,2,0,1,0,0,2,0,2,0,2,0,0,0,1,1,0,0,1,0,1,1,0,2,0,1,0,0,0,1,1,1,0,0,1,1,2,1,0,1,1,0,0,1,0,1,2,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,2,2,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,1,2,1,0,0,1,0,1,1,0,0,0,0,1,1,0,2,1,0,1,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,2,0,1,1,0,0,0,1,0,0,2,1,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,1,2,1,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,2,0,1,0,0,1,0,0,2,0,1,1,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,1,0,2,1,0,0,0,1,0,1,0,1,1,0,0,0,0,2,0,0,1,0,1,1,0,0,1,0,1,2,0,0,0 1,0,0,1,1,0,0,1,0,2,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,2,0,2,0,1,1,1,0,0,2,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,1,1,0,1,2,2,2,0,0,0,0,0,0,0,1,1,1,0,0,0,2,1,0,1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,1,0,0,2,1,0,0,0,0,0,0,1,1,1,1,0,2,0,0,0,0,0,0,1,0,2,0,0,1,1,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,2,2,1,1,0,0,1,1,1,1,2,0,0,0,1,0,1,1,0,1,0,1,2,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,2,0,0,0,0,1,1,1,2,0,0,0,1,2,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,2,1,1,1,0,0,1,0,1,1,0,2,1,0,2,1,1,1,1,0,0,0,0,0,2,0,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,2,0,0,0,0,0,1,0,1,0,0,2,0,0,2,1,0,0,1,0,1,0,1,0,1,0,2,2,0,0,0,0,0,1,1,0,0,2,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,2,1,0,0,0,1,0,1,0,1,0,1,1,1,2,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,2,0,1,2,2,0,0,0,0,1,2,0,0,0,0,0,1,1,1,1,1,2,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,2,0,0,0,0,0,2,0,0,0,0,2,0,0,1,1,0,0,2,2,0,2,0,0,1,0,2,1,1,0,0,1,1,0,0,1,0,1,0,0,1,1,1,1,2,2,1,1,1,0,1,1,0,0,1,0,0,0,2,1,2,1,1,0,1,1,1,0,0,2,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,2,1,1,0,2,0,0,0,0,0,0,0,1,2,1,0,2,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,2,0,1,1,2,1,1,0,2,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,2,0,0,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,1,1,0,1,0,0,2,0,1,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,1,1,1,2,0,1,1,0,0,1,2,0,0,1,0,0,0,0,0,1,0,2,1,2,0,0,0,1,0,0,1,0,1,1,0,2,0,0,0,0,2,0,0,0,1,1,1,2,1,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,2,1,0,0,0,0,0,2,0,2,1,2,0,0,0,1,0,0,0,1,0,0,1,2,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,1,2,0,0,0,1,1,0,0,2,2,2,1,0,1,0,1,0,0,0,0,2,0,0,0,2,0,0,0,2,0,1,2,1,1,1,0,0,0,1,0,1,2,1,0,0,0,1,1,0,0,0,2,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,1,1,0,1,2,0,1,0,2,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0 1,0,2,0,1,1,0,1,2,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,0,1,0,0,2,0,0,0,2,0,2,0,1,0,0,0,0,1,0,0,1,0,0,0,2,0,1,0,1,0,0,1,0,1,0,0,1,0,2,0,1,2,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,1,1,1,1,0,0,2,1,0,1,0,1,2,1,0,1,2,1,0,1,0,1,1,0,0,2,0,1,1,2,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,2,0,1,0,1,1,0,1,2,0,1,0,2,1,0,1,1,0,1,0,2,1,1,0,0,2,1,1,1,2,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0,2,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,2,1,1,1,0,0,0,0,1,2,1,0,0,0,1,1,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,2,0,0,0,0,0,0,2,1,0,1,1,1,1,1,1,2,2,0,0,0,0,1,1,0,0,1,0,2,0,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,2,0,0,1,0,0,0,1,1,1,1,1,1,0,1,0,1,2,2,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,2,2,1,1,1,1,1,1,1,0,1,0,0,2,0,0,0,0,1,0,0,0,0,1,0,1,0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,2,0,0,1,0,2,0,0,0,1,0,0,1,0,2,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,1,0,2,1,0,0,0,0,0,0,0,0,0,2,0,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,1,2,0,0,0,0,0,1,1,0,1,0,2,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,2,1,2,2,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,2,1,0,1,0,1,0,0,0,0,0,1,0,2,0,0,1,0,0,1,0,0,0,2,0,1,1,1,1,0,0,1,0,0,1,0,2,1,1,1,2,0,0,1,1,2,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,2,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,2,0,1,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0,0,0,2,0,0,0,0,0,1,2,1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,2,0,0,1,1,0,0,0,0,1,1,1,0,2,2,1,1,1,1,0,0,1,1,2,1,2,0,2,0,0,1,2,1,1,0,1,0,2,0,0,1,0,1,0,0,1,0,0,0,1,0,2,0,0,1,0,1,1,2,1,0,2,0,0,1,0,2,1,0,0,1,1,2,0,1,0,0,0,2,1,2,0,0,0,0,1,1,0,0,1,1,1,0,2,0,0,1,2,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,2,2,0,1,0,0,1,2,0,0,2,2,0,0,0,1,0,0,0,1,2,0,0,0,1,2,1,0,0,1,0,2,0,0,1,0,0,0,0,0,1,0,2,1,0,0,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,1,2,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0 1,0,1,2,1,0,0,0,1,1,2,0,0,0,0,0,0,2,1,0,0,0,0,0,1,2,0,1,0,1,0,0,2,1,0,0,1,2,1,0,1,2,0,1,1,1,0,2,0,2,1,0,1,1,2,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,2,0,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,1,1,2,2,1,0,0,0,1,2,0,0,1,0,1,0,2,0,1,0,2,0,0,0,1,0,0,2,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,2,1,0,0,0,0,2,0,0,1,0,0,1,0,0,1,0,1,1,2,1,0,1,0,0,1,0,1,0,1,1,0,1,2,0,0,2,1,1,0,0,0,0,2,2,2,0,1,0,2,1,0,0,1,1,1,2,0,0,0,0,0,0,0,0,1,1,2,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,2,0,1,0,0,0,0,2,0,1,2,0,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,1,1,0,1,2,2,0,0,0,0,0,0,0,0,0,1,2,1,0,1,0,0,0,0,2,1,1,0,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,2,1,0,1,0,0,0,1,0,2,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,1,2,1,0,1,0,1,0,2,0,2,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,2,1,2,0,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,2,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,2,0,1,0,2,0,0,1,0,0,0,1,0,0,0,1,2,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,1,1,2,0,0,0,1,1,0,2,0,0,1,1,2,1,1,0,1,0,0,0,1,0,0,2,1,0,1,0,0,1,2,0,0,0,0,1,0,1,0,0,2,2,0,1,0,2,0,0,1,0,2,1,0,1,0,0,0,1,0,1,0,0,0,1,0,2,2,0,1,0,0,0,1,0,1,2,1,1,1,2,0,0,0,0,1,0,1,2,0,1,1,0,2,1,0,1,1,1,0,2,0,1,1,1,1,1,1,0,1,0,0,0,0,0,2,0,0,1,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,2,1,2,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,2,0,0,0,0,1,1,1,1,1,1,2,1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,1,2,0,2,1,0,0,0,0,0,0,1,2,0,1,1,1,0,0,0,0,0,0,0,0,1,2,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,0,1,2,1,0,1,1,0,0,2,0,1,0,1,1,0,0,0,2,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,0,0,2,1,1,1,1,2,0,0,2,0,0,0,0,1,1,0,0,0,2,1,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0,2,2,1,0,0,1,0,1,0,0,1,2,1,0,0,0,1,0,0,2,1,0,0,1,1,1,2,0,0,0,0,1,2,0,0,1,0,0,0,1,1,1,2,0,0,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0 1,0,1,1,2,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,2,1,1,0,1,1,1,0,1,1,0,1,0,0,0,2,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0,1,1,2,1,0,1,0,0,1,1,0,2,1,1,0,2,0,1,0,2,0,0,1,0,0,1,0,0,0,1,2,0,0,0,1,0,1,0,0,0,0,0,0,1,0,2,1,1,1,1,1,1,0,1,0,0,0,0,1,0,2,0,0,1,0,0,0,1,0,1,0,0,2,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,2,0,1,0,0,1,0,2,2,0,1,1,0,0,0,0,0,0,1,0,0,2,1,0,1,0,0,0,0,0,1,1,2,0,0,0,1,0,1,1,1,2,0,1,2,0,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,1,2,2,1,0,0,0,2,1,0,0,0,0,0,0,0,1,0,1,1,2,0,1,2,1,0,0,0,0,0,1,1,0,1,0,1,0,1,1,0,1,0,0,1,2,0,2,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,2,1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,2,1,0,1,2,1,0,0,1,2,0,0,1,0,0,0,0,1,0,1,0,0,2,0,0,2,1,1,0,2,1,1,0,0,2,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,1,1,1,1,2,2,0,0,0,0,0,1,1,1,1,1,2,1,0,0,1,0,1,0,0,0,0,1,1,0,1,0,2,1,0,0,1,1,1,0,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,1,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,2,0,0,0,1,0,0,0,0,1,1,1,1,1,0,0,0,0,2,1,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,2,1,0,1,0,0,0,0,1,1,2,2,0,0,2,0,0,0,1,0,0,1,0,0,0,2,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,2,0,1,0,0,1,0,2,0,1,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,2,2,0,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,1,0,0,2,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,2,2,1,2,1,0,0,0,2,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,2,1,2,0,2,0,1,0,0,2,2,0,0,1,0,1,0,0,0,1,0,0,0,2,1,1,2,0,0,1,0,2,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,2,1,1,1,0,0,0,0,2,0,0,1,0,0,1,2,1,1,0,0,0,2,0,0,2,1,0,0,1,2,1,0,0,0,2,0,1,1,0,1,0,1,1,1,0,0,0,1,1,1,1,2,0,1,1,1,0,0,0,0,1,1,0,2,2,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,2,0,1,0,1,0,1,1,0,1,0,0,0,0,0,2,0,1,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,2,1,0,0,0,0,1,1,2,1,0,0,0,0,1,0,0,1,2,0,0,1,0,0,2,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,2,0,0,0,0,1,2,0,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0,1,2,0,0,0,0,1,0,0,1,1,0,0,0,1,2,2,0,1,2,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0 1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,2,1,1,2,1,0,0,0,2,1,1,0,0,0,0,0,1,0,1,2,1,1,0,0,0,1,2,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0,2,0,1,0,1,0,2,1,0,0,0,1,1,1,0,0,2,2,0,1,2,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,1,1,2,0,2,0,0,0,1,0,0,1,1,2,1,0,1,1,0,0,1,0,1,2,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,2,1,0,2,1,1,0,0,1,1,0,0,0,2,0,0,1,1,2,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,1,1,1,1,0,0,1,1,1,1,0,1,1,0,0,1,2,0,1,0,1,0,1,1,1,1,1,0,0,2,1,0,1,0,0,1,1,0,1,1,2,1,0,1,0,1,0,0,1,1,0,1,2,1,1,2,0,2,0,0,1,1,0,0,1,0,1,0,1,1,1,0,0,2,0,0,0,1,1,0,0,0,0,0,0,2,2,0,0,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,1,2,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,2,0,1,0,0,1,0,0,0,1,2,0,2,0,0,1,0,0,0,1,0,1,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,2,0,0,0,0,1,0,0,1,0,1,2,0,0,0,1,2,1,0,0,0,0,0,2,1,0,0,1,0,0,2,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,2,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,2,0,0,2,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,2,0,0,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,2,0,1,0,1,1,0,0,0,0,2,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,2,1,1,0,2,1,0,0,2,1,0,1,0,2,0,1,0,1,1,0,2,0,1,0,0,0,0,1,1,1,0,0,0,1,0,1,1,2,1,2,0,2,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,2,1,1,2,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,2,0,2,1,0,0,1,2,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,2,1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,1,1,0,0,2,2,0,0,0,0,1,0,0,1,1,0,2,0,0,1,1,0,2,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,2,0,2,0,0,0,1,0,0,0,2,1,0,0,0,0,1,0,0,2,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,2,0,0,1,0,0,1,2,0,1,0,0,2,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,2,1,0,1,2,0,1,2,1,1,1,0,0,1,0,2,1,2,1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,2,0,0,0,0,1,0,0,1,0,1,2,1,0,0,0,0,1,1,2,0,1,1,1,0,1,0,0,0,1,0,2,0,2,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,0,2,1,0,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,1,2,0,0,1,0,0,0,0,2,2,0,1,1,0,0,1,1,0,0,0,0,1,2,1,2,0,0,1,0,0,1,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,1,1,1,0 2,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,2,1,1,0,1,2,0,1,1,0,0,1,0,0,0,2,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,2,1,0,0,1,2,0,0,1,0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,0,2,0,1,2,1,0,1,0,1,0,0,0,0,1,0,0,1,0,2,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,2,1,1,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,2,0,0,0,0,1,1,2,0,0,0,0,1,2,0,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,1,0,2,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,2,1,0,1,2,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,2,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0,2,1,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,2,0,1,2,0,0,0,0,0,2,1,0,1,0,0,2,1,1,1,0,1,2,2,0,0,2,0,0,1,1,0,1,0,2,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,2,1,2,0,2,0,0,2,0,1,0,1,1,0,0,0,1,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,2,0,0,0,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,2,0,0,0,2,0,0,0,1,1,0,1,0,0,0,1,0,0,0,2,2,1,1,1,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,1,2,1,2,0,1,0,1,0,1,1,1,0,0,0,0,2,0,0,0,0,0,1,0,0,1,1,1,0,2,0,2,1,0,0,0,1,1,0,1,0,2,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,1,2,0,2,1,0,2,1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,2,1,0,0,0,0,0,1,1,0,1,2,0,0,1,0,0,0,1,0,0,1,0,2,0,0,1,0,1,0,0,0,1,1,2,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,2,0,1,0,1,0,0,2,2,0,0,1,1,0,1,0,0,0,0,1,0,0,0,2,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,2,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,0,0,1,0,0,1,1,0,1,0,2,2,1,1,1,1,0,1,0,0,0,1,0,1,1,0,1,2,1,0,0,0,2,0,0,1,0,1,2,0,0,1,0,0,0,0,0,0,0,1,0,0,1,2,1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0,2,1,2,0,0,1,0,0,2,1,0,0,0,1,0,1,0,1,0,1,0,0,0,1,0,2,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,2,1,0,1,1,0,1,0,2,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,2,0,0,0,0,1,1,1,1,0,1,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,2,0,0,1,1,1,2,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0 0,0,0,2,1,0,0,1,0,0,2,0,0,0,0,1,0,0,1,0,0,1,2,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,2,2,1,1,1,1,0,1,2,1,1,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,1,1,2,0,2,0,0,1,0,0,1,0,0,0,1,0,1,1,1,1,1,1,1,0,1,2,0,0,0,1,0,0,1,0,2,1,1,1,1,1,1,2,0,0,1,0,0,1,0,2,0,1,0,2,0,0,1,0,0,1,0,1,1,0,2,1,0,2,0,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,2,1,0,2,0,0,0,1,2,0,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,1,0,1,1,1,0,0,1,2,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,2,1,0,0,0,2,1,1,1,0,1,0,0,0,0,0,2,0,0,0,0,2,0,2,1,0,0,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,2,2,0,1,1,1,0,0,2,1,0,2,0,1,0,2,0,2,1,0,0,0,0,1,1,0,0,1,2,2,0,0,1,1,0,1,1,0,0,0,1,1,0,2,1,1,0,0,0,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,2,0,0,0,1,1,1,2,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,1,1,0,2,0,0,1,0,1,0,0,0,2,0,0,1,0,1,1,0,1,0,2,0,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0,2,1,0,1,1,2,0,2,1,2,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,2,0,1,0,1,0,0,1,0,1,0,0,0,1,1,0,0,1,1,2,0,1,1,0,0,0,0,1,0,0,0,0,2,1,2,0,0,0,1,0,2,1,0,0,1,1,0,1,0,2,0,1,1,1,0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,2,1,0,1,0,2,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,2,1,1,0,1,1,0,1,0,1,0,1,1,1,1,0,0,1,2,1,2,2,0,1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0,2,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,1,0,1,2,0,1,0,2,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,2,0,0,0,1,0,1,1,1,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,2,2,0,0,0,1,1,1,2,1,0,0,0,0,0,0,0,1,1,0,1,1,2,2,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,1,0,1,1,2,0,1,0,1,0,0,0,0,0,1,1,2,2,0,0,1,0,1,0,1,1,0,1,1,2,0,1,0,2,0,0,1,1,0,0,1,0,2,2,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,2,1,0,0,0,1,1,2,1,1,1,0,0,0,1,0,1,0,1,2,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,1,0,1,1,2,0,1,0,2,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,1,0,2,1,0,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,2,0,1,1,0,1,0,0,1,0,1,2,1,1,0,0,2,1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,2,0 1,0,1,1,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0,1,1,2,0,0,2,0,0,2,0,2,0,2,0,2,1,1,1,2,0,2,0,1,2,0,1,1,1,2,0,0,0,0,0,1,0,0,1,1,0,0,1,1,1,0,1,2,0,1,1,1,1,0,0,2,1,0,0,0,0,0,1,0,0,1,2,2,0,1,0,0,0,1,1,1,0,1,0,0,0,0,1,1,2,0,0,1,2,1,1,0,1,1,1,0,2,2,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,2,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,1,1,1,0,0,1,0,2,1,0,0,2,1,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,2,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,2,0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,2,0,0,1,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,2,1,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,2,2,0,0,2,1,1,2,1,0,0,0,0,0,0,0,0,1,0,0,1,1,2,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,2,0,1,0,0,0,1,1,0,2,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,2,2,1,0,2,1,0,0,0,2,0,1,2,1,1,0,0,0,2,0,1,0,0,0,0,0,0,0,1,2,1,0,0,0,1,2,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,2,0,0,0,1,0,1,0,1,1,0,2,0,0,0,0,2,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,1,2,0,2,0,1,0,0,0,0,1,2,0,0,0,0,0,0,2,1,0,2,1,0,0,0,2,0,1,1,0,0,0,1,2,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,1,0,1,0,1,2,0,1,0,0,0,0,0,1,1,2,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,2,2,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,2,0,0,0,1,1,1,1,1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,2,0,1,1,0,1,1,0,0,2,0,1,1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,1,2,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,2,0,1,1,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,2,0,0,0,0,0,1,0,1,2,0,0,0,1,0,0,0,2,0,1,1,0,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,1,0,2,1,2,2,1,2,0,0,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,2,0,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,2,1,1,0,2,0,2,2,2,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,2,1,0,0,1,1,1,1,0,0,0,1,0,1,2,0,0,0,0,2,1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,2,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0,0,2,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0 0,0,0,0,1,1,0,0,0,1,1,0,1,1,2,2,0,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,2,1,2,0,0,1,1,1,0,0,0,0,0,0,1,1,2,0,0,0,0,2,0,0,0,0,1,0,0,0,1,1,0,1,2,2,0,0,1,2,1,0,0,1,0,1,0,2,2,1,0,1,0,0,0,1,1,2,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,2,2,1,0,1,0,1,0,0,1,2,1,0,0,1,0,1,0,1,0,1,0,2,0,0,0,0,1,0,1,1,0,1,0,1,1,0,1,2,1,1,0,0,0,0,1,0,0,0,0,1,2,1,0,0,1,0,1,2,1,1,1,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,2,0,0,0,0,1,1,2,0,1,1,2,0,0,0,1,0,2,2,1,1,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,1,0,2,0,0,0,1,1,0,1,0,0,0,1,0,2,2,0,0,0,0,1,1,0,0,1,0,1,1,2,0,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,1,0,1,1,0,0,0,0,1,0,2,0,0,1,1,0,0,1,1,0,0,1,0,1,2,1,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,1,0,2,2,1,2,1,2,0,0,1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,2,1,0,1,0,0,0,1,0,2,2,1,1,0,1,0,1,0,1,1,0,0,0,0,1,2,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,2,0,0,0,0,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,2,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,2,0,1,0,1,1,0,1,1,0,0,1,0,0,0,2,2,0,0,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0,1,2,1,1,1,2,1,1,1,0,0,1,0,1,1,2,1,2,0,1,1,0,1,2,2,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,2,1,0,0,1,0,2,0,1,0,0,0,0,1,0,0,2,0,2,1,1,1,0,0,2,0,0,0,0,0,1,1,1,1,1,0,0,2,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,2,1,1,2,0,0,0,0,0,0,2,2,2,0,1,0,0,2,0,2,1,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,0,2,0,0,1,0,0,2,0,1,0,1,0,0,0,2,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,2,0,0,0,1,2,1,2,1,1,1,1,0,0,0,1,0,0,0,0,2,0,2,1,0,1,1,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,2,0,0,1,0,1,1,0,1,0,0,0,0,0,2,0,1,0,1,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,1,1,2,1,1,0,0,1,1,0,1,0,0,1,0,0,2,1,0,0,0,0,1,1,0,0,0,2,0,0,0,1,0,0,0,2,0,1,1,0,0,0,0,0,0,0,1,2,0,0,0,0,2,0,1,1,1,0,0,0,0,0,2,0,0,2,1,2,0,1,2,1,2,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0 1,0,0,0,1,0,2,0,0,1,0,0,0,2,1,0,0,2,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,2,0,0,1,1,1,0,1,0,0,0,0,0,2,1,2,0,1,0,0,1,0,0,0,1,1,0,2,0,1,0,2,2,1,0,0,0,0,0,2,1,0,0,0,0,1,1,0,0,1,0,2,0,2,0,1,1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,1,1,0,1,2,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,2,1,0,1,0,2,0,0,2,0,1,1,1,1,0,0,2,2,0,1,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,2,2,1,1,1,1,0,2,0,0,0,2,0,2,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,1,0,2,0,2,0,1,0,1,1,1,0,2,0,1,1,0,0,0,2,0,1,2,0,1,0,0,0,0,0,0,0,0,1,2,0,2,1,1,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,2,2,1,0,0,1,0,1,2,0,1,1,1,1,1,0,0,1,1,2,1,0,1,2,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,2,0,0,2,1,1,0,1,1,0,0,0,0,2,1,0,1,0,1,2,0,0,1,0,0,0,0,0,0,1,0,1,1,1,1,1,0,2,0,1,2,0,2,0,2,0,0,0,0,2,0,2,0,1,1,2,0,1,2,0,0,2,1,2,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,2,0,0,0,0,2,2,0,0,0,0,1,2,0,0,0,2,1,1,1,1,0,0,0,1,1,0,1,0,0,0,2,2,0,2,0,1,0,2,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,2,0,0,0,0,0,0,0,1,2,0,1,0,0,0,2,2,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,2,1,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,2,2,2,1,0,1,1,2,2,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,1,0,0,1,1,0,0,1,1,2,0,0,0,1,2,0,0,1,1,0,0,0,0,2,2,2,1,0,0,0,0,2,0,2,0,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,2,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,1,1,0,0,1,0,0,0,0,0,1,1,0,1,1,2,0,1,0,2,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,0,1,1,1,1,0,0,2,1,0,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,2,1,1,1,1,1,2,1,0,0,0,2,1,1,2,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,2,0,0,1,0,1,1,0,0,2,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,2,2,0,0,1,1,0,0,0,1,2,0,1,1,1,1,0,0,0,0,2,0,0,1,0,1,0,1,0,1,1,1,0,1,0,2,0,0,1,0,1,0,1,1,1,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,2,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,2,2,1,0,0,1,0,1,2,0,0,0,0,0,2,1,1,1,1,0,0,0,1,1,1,2,0,1,0,0,1,0,0,2,2,0,0,0,0,0,0,0,1,1,0 0,0,1,1,0,0,0,0,0,2,2,1,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,1,1,1,0,0,1,1,0,0,2,2,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,2,1,0,1,1,1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1,1,2,1,0,0,0,2,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1,2,0,0,1,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0,1,2,1,0,0,0,0,1,0,1,0,0,1,0,1,1,2,1,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,1,1,1,2,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,2,1,2,0,1,0,0,0,1,0,1,0,2,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,0,2,1,0,0,1,0,0,1,1,1,1,0,0,0,1,2,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,2,0,0,2,1,2,1,0,2,1,0,1,0,1,1,0,0,2,1,1,0,0,1,0,2,0,0,1,0,0,0,0,1,0,0,0,0,1,1,2,1,0,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,2,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,2,1,0,1,0,0,0,0,0,1,1,0,0,1,2,0,2,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,2,0,1,0,2,0,1,0,0,1,1,0,0,1,0,0,0,1,0,1,2,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,2,0,0,0,1,0,1,0,0,0,0,0,2,1,1,2,0,0,1,0,0,1,2,1,0,1,0,0,1,0,1,1,0,1,1,2,0,0,1,1,0,0,0,1,0,0,2,0,0,0,0,0,1,2,0,1,1,0,0,0,1,1,1,0,2,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,2,2,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,2,0,0,0,0,1,1,0,0,0,0,0,2,1,0,0,1,1,2,1,1,0,0,0,0,2,1,0,1,1,1,0,0,0,0,2,2,1,1,0,2,1,0,1,0,0,0,1,0,0,0,0,2,1,0,1,1,0,1,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0,2,1,0,1,1,1,1,1,0,1,0,1,0,1,0,2,0,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,2,0,0,0,0,0,1,1,0,2,0,0,0,1,2,1,1,2,0,0,0,0,1,0,2,0,1,1,2,0,1,0,0,1,0,1,1,1,2,0,1,2,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,2,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,2,1,0,1,2,1,0,1,2,1,0,1,0,0,1,0,0,0,1,2,1,0,1,0,0,1,0,1,1,2,0,0,1,0,1,2,0,0,0,0,0,1,2,1,0,1,2,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,2,0,0,2,0,1,0,1,0,0,0,0,1,2,0,0,0,1,1,2,0,0,0,0,1,0,1,1,1,0,2,0,0,1,1,1,0,2,0,0,0,1,1,1,1,1,1,0,0,0,0,0,2,0,0,0,0 0,0,2,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,2,0,0,1,0,0,0,0,0,1,0,0,0,2,1,1,1,1,0,0,1,0,0,0,0,0,0,2,0,1,1,0,2,0,0,0,2,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,2,1,0,1,1,1,1,2,0,0,1,0,0,0,0,0,0,1,0,0,2,0,0,1,0,1,1,0,0,2,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,1,0,1,1,0,0,2,0,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,2,1,0,0,0,2,1,0,0,0,0,1,1,1,0,0,0,0,0,0,2,0,2,1,1,1,1,0,0,1,0,0,0,1,0,2,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,2,1,0,0,0,2,0,1,0,0,2,1,2,0,2,1,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,1,1,1,0,0,2,1,0,1,0,1,1,1,1,2,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1,2,1,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,2,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,1,0,1,2,0,1,2,2,2,0,0,1,1,1,1,0,1,0,0,1,2,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,1,2,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,2,0,1,1,0,1,0,0,1,0,2,0,0,1,1,1,0,0,0,0,1,1,0,0,0,1,2,0,0,0,0,1,0,2,1,0,0,0,0,0,2,0,0,0,0,2,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,1,1,2,1,1,0,0,0,2,0,0,0,1,1,1,2,0,0,1,0,1,1,1,0,0,0,0,0,1,0,2,1,1,0,0,0,0,1,1,0,0,0,0,1,0,1,0,1,2,0,0,1,0,1,0,0,0,0,1,2,0,1,1,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0,1,0,1,0,0,1,1,0,2,0,1,1,0,1,1,2,0,2,2,1,0,0,0,0,2,1,0,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,1,1,2,0,0,1,0,0,1,0,0,2,2,0,2,1,1,1,0,2,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,2,0,1,0,0,0,2,1,0,0,0,1,2,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,2,1,0,1,0,2,1,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,1,1,1,1,0,0,1,2,0,0,0,2,0,1,1,1,0,2,1,0,2,0,0,1,1,0,0,1,0,2,2,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,2,2,0,0,0,0,1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,1,1,1,1,2,1,2,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,1,2,2,0,0,0,1,1,0,1,1,0,1,1,0,0,2,0,0,0,1,2,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,0,1,0,2,0,2,0,0,0,1,0,0,2,1,0,0,0,0,0,0,1,0,0,0,1,0,2,1,0,0,0,2,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,2,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,1,2,2,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0 1,0,1,2,1,1,0,1,1,1,1,1,0,2,2,0,0,0,1,0,0,0,2,0,0,0,0,1,0,1,0,0,2,0,0,0,1,0,1,0,0,0,2,1,0,1,1,0,0,0,0,0,1,0,1,0,0,2,0,1,0,0,1,1,0,1,0,0,0,0,2,1,1,0,1,1,1,1,0,1,0,0,1,1,1,0,2,0,1,1,2,1,0,0,0,0,0,0,2,0,0,1,0,0,2,1,0,1,0,1,1,0,0,0,1,0,0,1,1,1,0,2,1,0,0,0,0,1,1,0,1,1,1,2,0,0,0,0,0,1,2,0,1,2,2,0,2,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,1,1,0,2,1,2,0,0,0,0,2,0,1,1,0,0,0,2,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,2,1,1,1,1,2,0,0,0,2,0,0,0,1,1,2,0,1,0,0,0,1,0,0,1,0,1,2,0,0,1,0,0,0,2,1,0,0,0,1,0,1,2,0,0,1,1,0,1,1,1,0,2,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,1,0,1,2,1,1,0,1,1,0,2,1,0,0,1,1,0,2,0,0,0,0,0,0,2,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,1,1,0,2,0,0,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,2,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,2,2,1,0,0,0,0,0,0,2,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,2,1,0,0,1,2,0,0,2,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,1,0,0,1,0,1,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,2,0,1,1,0,0,0,0,2,0,0,0,0,0,2,1,2,1,0,0,0,0,2,0,0,1,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,1,1,2,0,1,0,1,1,1,0,1,1,0,0,0,1,2,1,1,0,0,0,0,0,1,1,0,1,0,0,2,2,2,2,1,2,2,0,2,1,0,1,0,1,1,0,0,0,2,1,0,1,2,1,0,1,2,2,1,1,2,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,2,0,1,2,1,0,0,1,1,0,1,0,2,0,0,2,0,0,0,1,0,2,0,1,1,0,0,0,1,0,2,0,1,0,0,0,0,0,0,1,2,0,1,0,2,1,0,1,2,0,0,0,0,1,0,2,0,1,1,1,0,1,1,1,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,2,0,1,2,1,1,0,1,0,1,0,0,0,1,0,1,1,1,1,0,0,2,1,1,1,0,1,2,1,1,1,0,1,0,2,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,1,0,1,0,1,1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,1,0,1,0,1,1,1,0,0,1,1,1,1,0,1,0,1,2,2,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,2,0,1,0,0,1,0,0,1,2,1,2,0,1,2,1,0,2,0,2,0,0,0,0,1,1,1,2,0,0,1,2,0,0,0,0,0,1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,1,2,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,1,0,2,0,1,1,1,0,0,2,0,0,0,1,0,0,0,0,1,1,0,0,0 1,0,1,0,0,0,2,1,0,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0,2,0,1,2,0,0,0,1,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,2,1,1,0,1,1,0,0,0,0,0,2,1,2,1,0,1,2,2,2,1,0,1,0,0,0,1,0,1,1,2,1,0,1,0,0,0,1,2,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,2,1,1,1,1,2,1,1,1,1,0,1,1,0,1,0,0,0,1,2,1,0,0,0,0,1,0,1,0,2,0,1,0,1,1,1,0,0,1,0,1,2,1,0,0,1,2,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1,0,1,0,0,2,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,2,0,1,2,1,1,1,0,1,2,1,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,2,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,1,0,1,0,0,0,0,0,1,1,0,1,0,2,0,0,0,0,2,2,1,1,1,1,2,1,0,0,0,0,0,2,2,1,1,0,0,0,0,1,1,0,0,0,2,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,2,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,2,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,1,2,0,0,1,1,0,0,0,2,0,1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,2,2,0,2,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,2,1,0,0,2,0,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,1,2,1,1,1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,1,0,2,0,0,1,2,0,0,1,0,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,2,0,1,1,0,0,2,0,0,1,0,0,2,2,1,1,0,1,0,0,1,1,0,2,0,0,0,1,0,0,1,1,0,1,0,1,1,1,0,2,0,0,0,0,0,0,1,0,1,2,0,0,1,1,1,0,1,2,0,1,0,0,1,0,1,1,0,0,2,0,0,0,1,0,0,2,0,0,0,0,1,2,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,2,1,1,1,0,2,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,1,2,0,0,0,0,0,1,0,0,1,0,1,0,2,1,0,0,0,0,0,1,0,2,0,1,0,0,0,0,1,0,0,2,0,1,1,0,2,0,1,0,2,0,0,0,1,1,1,1,1,2,1,1,1,0,0,1,0,0,1,1,0,1,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,2,1,0,0,1,2,0,0,0,0,0,0,1,0,1,2,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,2,1,1,0,0,0,1,0,1,1,0,2,0,0,1,0,0,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,2,1,1,0,0,0,0,2,0,1,1,0,0,1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,2,0,1,0,0,1,1,0,1,1,0,0,2,1,0,0,0,0,1,1,0,2,1,0,1,0,1,2,1,0,2,1,0,0,1,2,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0 1,0,0,2,1,0,1,2,0,2,1,0,0,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,2,1,0,2,0,1,0,1,0,1,1,1,2,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,1,1,2,1,0,1,0,0,0,0,1,2,1,0,0,0,0,0,2,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,2,0,2,1,0,0,0,0,2,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0,2,0,0,1,0,0,0,2,0,1,2,1,1,1,1,1,1,1,0,1,2,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,2,0,0,2,2,1,2,0,0,0,1,1,0,0,0,1,0,1,0,0,1,1,2,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,2,1,1,1,2,1,0,2,0,1,1,0,0,1,1,0,0,1,2,1,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,2,0,0,0,1,0,1,0,0,1,0,1,0,2,0,1,0,1,0,2,1,1,0,0,0,0,1,0,0,0,1,0,1,1,2,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,1,1,1,2,0,0,1,1,0,0,0,2,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,2,2,0,0,0,0,1,2,0,0,1,0,0,2,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,2,1,1,0,0,0,1,1,2,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,1,0,2,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,2,1,2,1,0,0,0,0,0,1,1,0,0,0,1,0,0,2,0,1,1,0,0,0,0,1,0,0,1,1,1,1,1,2,0,1,0,2,0,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,2,0,2,0,1,1,0,2,0,0,0,0,0,0,1,2,1,1,0,0,0,0,1,1,1,1,1,0,0,1,1,1,2,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,2,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,2,1,0,1,1,1,0,0,1,0,0,0,1,0,2,0,0,0,2,1,1,2,1,1,1,1,0,1,1,1,1,0,0,1,1,2,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,2,1,0,0,0,1,2,0,1,2,0,0,0,1,0,0,1,1,0,0,0,0,0,2,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,2,1,0,0,0,1,1,1,0,0,1,0,0,0,2,0,0,2,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,1,2,1,0,2,0,0,1,0,0,0,1,0,0,0,0,2,1,0,0,1,1,2,0,0,1,0,0,1,2,0,1,2,1,0,0,0,0,0,1,0,0,1,1,1,0,0,2,1,0,0,0,0,1,0,0,2,0,0,0,0,1,0,1,2,0,1,0,0,0,0,1,0,0,1,0,0,1,1,1,1,2,0,1,2,1,1,0,1,2,0,0,1,0,0,1,2,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,1,1,1,0,0,2,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,2,0,0,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,2,0,2,0,0,0,1,2,0,0,0,1,0,0,0,0,0,2,1,1,1,0 0,0,2,1,1,0,0,0,2,0,2,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,2,2,0,1,0,0,2,0,1,0,1,2,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,2,0,1,1,1,1,2,0,0,1,0,0,0,0,2,1,1,0,0,0,1,0,2,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,1,2,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,2,1,0,0,1,0,0,0,0,1,1,2,0,2,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,2,1,1,0,0,0,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,2,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,2,0,0,1,0,1,1,0,2,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,0,1,0,0,1,1,0,2,0,0,0,0,1,1,0,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,2,1,1,0,1,2,1,1,0,1,0,0,0,2,0,0,1,0,2,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,2,0,0,0,0,2,1,1,0,1,1,0,1,0,0,0,0,2,1,1,1,2,0,0,0,1,1,2,1,0,0,1,0,0,2,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,1,1,1,1,0,2,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,2,0,0,0,2,0,1,2,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0,2,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,2,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,2,1,2,0,2,0,0,0,0,0,0,2,0,0,2,0,1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,2,0,1,0,0,1,0,1,1,0,0,1,1,1,2,0,2,0,1,1,0,0,2,1,1,1,0,1,0,1,1,0,0,2,1,0,2,0,1,0,0,1,1,2,0,0,0,0,0,0,2,1,0,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,0,2,0,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,2,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,2,1,0,0,1,1,1,1,0,0,2,0,1,1,0,0,0,1,0,1,0,2,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,1,0,1,0,1,0,1,0,0,1,0,2,0,0,0,1,0,0,1,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,2,1,0,2,0,1,2,2,1,0,0,0,0,2,2,2,1,1,1,1,1,0,0,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0,2,0,1,1,2,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,2,1,1,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,2,1,1,1,1,2,2,1,0,1,0,1,0,1,1,2,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,2,0,0,0,1,1,2,0,1,1,0,1,0,0,2,0,1,0,0,0,2,2,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,0,0,2,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,2,0,0,0,0,1,0,0,0,1,0,2,1,1,0,0,0,2,0,0,1,2,0,1,0,1,0,0,0,0,0,1,1,1,1,0,0,0 0,0,1,0,1,1,1,0,0,1,0,1,0,2,1,1,0,2,0,0,0,0,2,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,1,2,1,1,2,0,0,1,0,1,0,1,0,0,0,0,0,1,2,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,1,2,0,0,1,0,0,0,0,1,1,0,0,0,2,2,1,1,1,0,0,0,1,0,0,0,0,1,1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,2,0,1,0,0,1,0,1,0,1,0,1,1,1,1,2,0,0,1,0,0,0,1,1,0,0,1,0,2,0,0,0,1,0,0,1,1,0,0,2,1,1,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,2,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,2,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,2,0,2,0,0,1,0,2,1,1,0,0,0,2,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,1,0,1,1,1,0,0,0,0,2,2,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0,1,1,0,0,2,0,1,0,1,2,0,2,0,0,1,0,1,0,2,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,2,0,2,0,0,1,0,0,2,1,1,2,0,1,0,0,1,1,0,1,0,2,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,1,1,0,0,0,2,0,0,0,2,0,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0,2,0,0,0,1,0,0,0,0,0,1,2,0,2,0,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,2,0,1,1,1,2,0,0,0,0,0,1,1,2,1,1,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,2,1,1,2,0,1,1,0,0,2,0,0,0,2,1,0,0,1,0,0,0,1,0,1,0,2,0,1,0,1,0,1,2,0,0,2,0,1,0,0,0,0,0,0,0,1,0,1,2,0,2,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,1,1,1,0,2,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,1,2,1,0,0,1,1,0,0,0,0,2,0,1,1,1,0,1,0,1,2,1,1,2,1,1,2,1,0,2,0,1,0,0,0,1,0,0,2,1,0,0,2,0,0,0,0,0,1,0,0,0,1,1,0,1,2,0,1,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0,2,1,1,0,0,0,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,1,0,1,1,0,0,1,0,2,2,1,1,0,1,1,0,0,1,0,1,1,2,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,1,2,0,0,0,0,0,0,2,0,1,2,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,2,1,0,0,0,0,0,1,1,0,1,0,0,1,1,1,2,0,0,0,0,0,0,1,1,1,1,1,1,0,0,1,2,1,0,0,1,0,2,0,1,1,0,0,0,1,0,0,1,0,0,0 1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,1,2,0,1,0,2,0,1,0,0,0,0,2,2,1,2,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0,2,0,0,0,0,0,1,0,0,1,0,1,0,2,2,1,0,2,0,1,0,1,0,0,2,0,0,0,0,0,1,0,0,1,0,0,1,0,1,1,0,1,2,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,2,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,1,1,0,1,1,0,1,0,0,0,2,1,1,0,1,1,1,0,1,0,1,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,2,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,2,1,1,0,2,0,1,0,1,2,0,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,2,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,1,1,0,2,1,0,0,1,0,2,2,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,2,0,0,2,1,2,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,0,1,1,1,1,1,2,1,0,1,1,1,0,2,1,0,2,0,0,1,0,1,1,0,2,0,0,1,0,1,0,0,0,1,0,0,1,2,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,2,1,1,1,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,1,2,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,2,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,2,0,0,1,0,0,0,2,0,1,1,1,2,0,1,0,0,0,2,0,0,1,0,0,1,1,0,1,1,2,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,2,1,1,1,1,1,0,1,0,0,0,1,0,0,1,1,2,0,0,1,1,0,0,0,1,2,1,2,0,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,1,2,0,0,0,1,2,1,1,0,0,1,0,0,0,0,1,1,0,0,2,0,1,0,0,1,2,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,2,0,1,1,0,0,0,1,1,2,0,0,0,0,1,1,0,0,2,1,1,1,1,0,0,1,0,1,0,0,0,1,1,1,1,0,1,0,0,2,0,1,0,0,0,2,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,1,0,1,0,2,0,0,1,0,0,1,0,1,0,0,0,0,2,1,0,0,2,1,0,0,0,1,1,2,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,1,2,0,1,1,0,0,1,1,0,1,1,0,0,1,1,2,0,0,1,0,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,2,1,1,0,0,0,1,2,2,1,0,2,0,1,0,0,0,0,1,0,0,0,1,0,0,1,1,0,1,0,1,1,1,0,0,1,0,0,2,1,0,1,0,1,1,0,2,0,0,0,1,1,0,1,0,0,0,1,1,1,2,1,1,0,0,0,0,0,1,0,1,1,1,0,2,1,2,1,1,0,0,0,1,0,2,0,0,0,0,0,0,1,0,2,2,0,0,0 1,0,0,2,0,0,0,1,0,0,2,1,0,0,1,2,2,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,2,0,0,0,0,1,0,0,1,1,0,2,0,0,0,2,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,0,2,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,2,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,2,2,1,0,0,1,0,1,0,1,1,2,0,0,1,0,2,0,0,0,1,2,1,1,0,1,1,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,2,0,1,0,0,1,2,2,2,0,2,0,0,2,1,1,0,0,0,0,1,0,0,1,1,1,2,1,1,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,2,0,0,0,0,0,2,2,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,2,0,1,2,0,1,0,0,1,1,0,0,0,0,0,2,0,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,1,0,1,2,0,0,1,2,1,0,0,1,0,0,1,0,1,2,1,0,2,1,0,1,0,0,2,0,0,1,0,0,0,1,2,2,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,2,0,0,1,2,0,1,1,2,0,0,1,1,0,2,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,2,1,0,1,0,0,0,1,1,1,0,1,1,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,1,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,2,1,0,0,0,0,1,1,0,1,2,0,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,1,2,0,1,2,0,1,1,1,0,0,0,0,2,1,1,2,0,1,2,0,2,2,2,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,1,0,1,2,0,1,0,0,0,1,0,1,0,1,0,0,2,2,0,1,2,0,0,1,1,0,0,0,0,1,1,1,0,1,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,2,1,1,0,1,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,2,0,0,2,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,2,2,1,1,0,1,1,0,0,1,0,1,1,1,1,0,2,0,0,0,0,0,1,1,0,1,0,0,1,2,0,0,0,2,0,0,0,0,2,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0,1,1,1,0,2,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,2,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,1,0,1,1,1,0,1,1,0,1,1,1,0,2,1,0,0,1,1,1,0,0,1,0,0,0,0,2,0,1,0,0,1,0,0,1,1,1,1,1,0,2,0,0,1,1,2,0,0,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,2,1,0,0,0,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,1,2,0,1,0,1,2,1,0,1,0,1,2,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0 0,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,1,2,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,2,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,1,0,2,2,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,2,0,0,0,1,0,2,0,0,1,1,1,0,1,0,0,1,2,0,1,0,1,0,2,2,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,2,1,0,0,0,0,0,1,1,1,1,0,1,0,0,1,0,1,0,0,2,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,2,0,1,2,0,1,0,1,0,1,0,0,0,1,0,0,2,1,0,0,0,0,0,0,1,1,1,1,1,0,1,2,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,1,0,1,0,2,0,2,0,0,2,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,2,1,0,0,0,0,2,0,1,0,0,0,0,0,0,1,2,0,0,0,2,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,1,1,1,0,2,0,0,1,0,1,1,0,0,2,2,2,0,1,1,0,0,0,1,2,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,1,2,0,1,1,1,1,1,0,1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,2,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,2,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,1,1,2,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,2,0,0,2,1,1,1,0,1,0,2,2,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,2,0,0,0,0,0,0,0,1,0,1,1,2,0,0,1,0,0,1,1,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,2,0,0,0,1,2,2,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,2,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,2,0,0,1,0,0,0,0,0,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,2,0,2,1,0,0,1,0,1,2,1,1,2,1,0,0,0,1,0,1,1,0,1,2,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,2,0,0,0,0,2,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,2,0,0,2,1,2,0,2,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,2,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,1,0,1,0,0,0,0,2,0,0,2,2,1,0,0,0,0,2,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,1,2,2,0,0,2,0,0,0,0,2,2,0,0,1,0,1,2,0,1,0,1,0,0,0,1,1,0,0,2,0,0,0,0,0,2,0,1,1,2,1,0,0,0,0,0,2,1,0,0,0,1,1,0,1,0,0,2,1,0,0,0 2,0,2,0,0,0,1,0,1,0,2,1,0,0,2,1,0,0,1,0,0,0,1,0,1,1,1,1,2,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,1,1,1,2,0,1,0,1,0,1,2,0,0,0,0,0,0,2,0,1,0,1,0,1,1,0,1,0,1,2,0,1,0,1,0,0,0,2,0,0,1,1,2,1,1,1,1,0,0,0,1,1,2,1,0,1,0,0,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,2,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,1,1,0,0,2,1,0,1,0,2,2,2,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,1,0,2,0,0,0,1,0,0,1,1,0,0,0,0,0,2,0,0,1,0,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,2,0,1,2,0,0,1,0,1,1,1,0,1,0,2,0,1,2,1,1,0,0,0,1,1,1,0,0,1,0,0,0,2,0,0,0,0,0,1,0,0,0,1,2,0,0,0,2,0,1,2,2,0,0,2,0,1,1,1,0,2,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,2,1,0,0,2,0,1,0,1,0,1,1,2,1,1,0,0,0,0,1,0,1,1,1,0,1,1,2,1,1,1,0,0,0,0,0,1,1,2,1,0,1,0,1,0,0,0,1,0,1,1,0,1,1,1,2,0,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,2,0,0,1,0,2,0,0,0,2,0,0,2,0,0,2,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,2,2,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,0,2,1,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,1,1,0,1,1,0,0,0,2,0,1,1,1,1,1,0,0,0,0,1,2,0,0,0,0,2,0,0,1,2,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,1,0,0,0,1,2,0,0,0,0,0,0,2,0,1,0,1,0,0,0,0,0,1,2,0,2,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,1,1,1,1,2,0,0,0,0,1,1,1,1,0,1,0,0,1,2,0,0,0,0,0,0,0,0,1,0,2,1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,2,1,0,1,0,0,0,2,1,0,0,1,0,0,0,1,2,0,1,2,0,0,1,1,1,1,1,0,0,1,0,0,2,0,0,0,1,0,0,0,1,2,1,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,2,0,0,0,1,0,0,2,1,1,0,2,0,0,0,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,1,2,1,0,0,0,2,0,0,0,0,0,1,2,0,0,1,2,0,1,0,2,0,1,0,0,2,0,1,0,1,0,0,1,2,0,0,2,0,0,1,0,2,0,0,0,1,0,1,1,1,0,0,0,1,0,1,2,1,0,0,2,1,0,1,1,0,0,2,0,0,1,0,1,1,0,0,1,2,0,0,1,1,0,1,0,1,0,1,0,0,0,2,1,0,0,2,1,0,0,0,2,0,0,1,0,0,0,0,1,1,1,2,1,2,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,1,2,0,0,0,1,1,0,0,0,0,2,0,1,0,0,1,0,2,0,0,0,1,1,1,0,1,2,2,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,1,0 0,1,2,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,2,1,1,2,0,1,1,0,0,1,0,1,0,0,1,1,2,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,2,1,2,0,0,2,1,1,0,1,0,2,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,2,0,1,2,0,2,1,1,0,2,0,1,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,2,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,2,0,0,0,0,2,0,0,1,0,1,1,0,0,0,0,0,1,1,1,1,0,1,1,1,1,1,0,2,0,1,1,1,0,2,0,0,0,0,0,1,1,1,1,0,0,1,0,2,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,2,2,1,2,0,1,1,0,1,0,2,1,0,0,2,0,1,1,0,0,0,0,1,0,2,1,0,1,1,1,0,0,0,2,0,1,1,0,0,2,0,0,0,0,1,0,1,1,0,2,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,1,2,0,1,0,1,1,1,2,1,1,0,0,1,1,0,0,0,1,0,1,1,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0,1,0,1,2,0,0,1,0,1,2,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,2,2,0,0,1,0,0,0,1,0,2,1,0,0,1,0,0,0,1,0,0,2,0,0,1,1,0,0,0,0,0,1,1,0,1,1,2,1,0,0,0,2,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,2,2,1,0,0,0,1,0,0,2,0,1,0,0,0,0,0,2,1,0,0,0,2,0,0,1,1,0,0,1,0,1,1,2,0,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,2,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,2,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,2,1,1,0,1,0,1,0,2,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,2,1,0,0,0,1,2,1,0,0,1,2,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,1,1,0,2,1,0,1,1,2,0,1,2,0,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,2,0,0,0,2,1,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,1,1,0,2,0,0,2,2,0,1,0,1,0,1,0,0,1,0,1,0,1,1,1,0,0,2,0,0,0,0,1,0,0,0,0,0,1,1,0,2,1,0,0,0,0,0,0,0,1,0,0,1,0,0,2,1,1,1,1,0,0,1,0,1,0,2,1,1,0,0,1,0,0,0,1,1,2,0,2,0,0,0,0,0,0,0,2,1,0,0,0,2,1,0,1,0,0,1,1,1,1,2,0,2,1,2,0,0,0,1,0,0,0,2,1,2,2,0,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,2,1,0,1,1,1,0,1,1,0,0,0,2,1,2,0,0,0,0,1,1,0,1,2,0,2,0,1,0,1,1,0,0,1,1,0,0,1,0,0,1,2,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,2,0,0,2,1,0,0,0,1,1,0,0,0,0,2,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,2,2,1,0,2,0,0,0,0,0,0,0,0,0,0,0,2,2,1,1,0,1,0,0,0,0,2,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0,0,2,1,0,0,0,2,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,2,1,0,0,1,0,1,0,0,1,2,1,0,0,0,0,1,2,0,1,1,0 1,0,0,2,1,0,0,1,0,0,0,0,2,2,1,2,0,0,1,0,0,0,1,0,1,0,1,1,0,1,2,0,0,1,1,0,0,0,0,0,0,2,0,1,2,0,0,2,0,0,2,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1,2,0,2,0,1,0,1,1,1,0,0,0,2,0,1,0,1,2,2,1,0,0,2,0,1,0,0,2,0,2,1,1,0,0,0,0,0,2,1,0,0,0,1,0,0,2,2,0,0,0,0,2,0,0,0,0,0,1,0,1,1,0,0,2,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,1,1,1,0,0,0,0,0,0,0,2,1,0,1,1,0,1,0,1,0,0,0,2,1,0,0,0,0,0,1,1,1,0,0,1,1,2,2,0,0,1,1,0,0,1,1,0,1,1,0,2,0,2,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,1,0,1,0,1,1,0,2,0,1,1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,2,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,1,0,2,0,0,2,0,0,0,1,0,2,0,0,0,0,2,0,0,1,2,0,0,1,1,2,0,1,2,0,2,0,1,0,0,0,0,1,1,0,2,1,0,1,1,0,1,1,0,0,2,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,0,1,1,1,0,2,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,1,1,0,0,0,2,1,0,0,0,1,1,1,1,0,1,1,0,0,0,2,0,1,0,1,0,0,0,0,1,0,0,0,1,0,2,2,1,2,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,2,1,0,0,1,0,2,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,2,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,2,1,0,1,1,0,2,1,0,0,0,2,0,0,0,0,0,0,2,1,0,2,0,0,0,1,2,0,1,1,2,0,0,1,0,0,0,1,0,1,2,0,1,2,0,1,0,2,0,1,0,1,1,1,1,0,1,1,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,2,0,0,1,1,0,0,1,0,2,1,0,1,1,0,0,2,1,1,0,0,0,2,0,1,0,0,0,0,1,0,1,0,1,2,1,2,1,0,1,1,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,2,2,2,0,0,1,1,1,0,0,0,0,2,0,0,2,1,0,0,0,0,0,1,1,0,2,1,1,1,2,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,1,0,2,1,2,0,0,1,0,0,2,1,0,0,0,2,2,1,2,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0,2,0,1,0,0,0,1,0,0,0,0,0,0,1,0,2,0,1,1,0,0,2,0,0,0,0,1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,2,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,2,1,0,0,1,1,0,0,0,0,1,1,1,2,0,1,1,1,1,0,1,2,0,0,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,0,1,1,2,2,0,1,0,2,1,2,1,0,2,0,1,1,0,1,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0,1,0,1,0,2,0,0,1,2,0,0,0,0,1,1,0,2,0,0,1,0,0,1,1,1,1,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0 1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,2,0,0,1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,2,0,0,1,0,1,0,1,1,2,1,0,0,0,1,2,0,0,2,2,0,1,0,1,2,1,2,1,2,0,1,1,0,0,0,0,1,1,0,1,0,1,2,1,0,0,1,1,0,1,0,1,0,0,2,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,2,1,1,0,0,0,0,1,0,0,0,2,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,2,1,0,2,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,2,0,1,1,2,0,0,0,2,2,1,1,0,0,1,1,0,0,1,0,1,2,1,0,1,1,1,0,1,1,2,0,0,2,1,2,1,2,0,0,0,0,0,0,0,0,0,2,1,1,0,2,0,0,0,1,0,1,0,0,0,0,1,2,0,0,0,1,0,1,2,0,0,0,1,1,0,0,2,1,0,0,0,0,0,1,0,0,1,1,2,1,1,1,0,1,0,0,1,2,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0,1,2,0,0,1,0,1,1,0,0,1,0,1,1,0,1,2,1,1,0,2,0,0,2,0,1,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0,2,0,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0,2,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,2,1,0,1,1,1,1,0,0,2,1,0,2,0,2,2,0,0,1,1,2,1,0,1,0,0,0,2,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,2,2,0,0,0,1,0,0,0,0,0,1,2,0,0,2,1,0,1,0,1,0,1,0,0,2,1,0,2,1,1,0,1,0,2,1,1,1,0,0,0,1,0,0,0,1,0,0,2,0,0,2,2,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,2,1,1,1,0,1,1,1,0,0,2,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,2,0,0,1,1,0,0,0,0,0,1,2,0,0,0,2,1,1,0,1,1,1,0,1,1,0,1,2,1,1,1,1,0,2,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,1,0,2,1,1,2,1,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,1,1,0,1,0,1,2,1,0,0,0,0,0,0,0,1,2,0,1,1,0,0,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,2,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,1,1,0,1,2,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,2,0,1,1,2,0,0,0,1,0,1,1,1,0,0,0,0,0,1,1,0,2,0,1,1,1,1,0,1,1,2,0,0,0,0,0,0,2,0,0,1,2,0,1,2,1,1,0,2,2,1,1,1,0,2,2,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,2,0,0,1,2,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,0,2,2,0,0,0,1,2,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,2,0,0,1,0,0,0,1,1,0,1,1,1,0,0,2,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0 1,0,1,0,2,1,0,1,1,1,2,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0,2,0,0,1,0,0,0,0,0,2,1,1,0,0,1,0,0,0,0,0,2,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,0,1,1,1,0,0,1,0,2,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,1,2,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0,2,1,2,1,0,0,0,0,0,0,0,1,1,1,0,2,0,1,0,1,1,1,0,1,0,2,1,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,2,0,0,0,1,1,2,1,1,1,1,0,2,2,0,2,1,1,2,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,1,0,1,0,0,0,1,1,0,1,0,1,0,0,0,1,2,0,1,0,1,0,0,0,0,0,1,1,0,0,0,2,1,0,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,1,1,1,2,1,0,2,0,0,1,0,2,0,1,0,0,0,1,2,1,0,0,0,1,1,0,1,0,1,0,1,0,2,0,1,0,0,1,1,1,0,2,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,1,2,0,0,0,2,0,0,1,1,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,2,1,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,2,1,2,1,0,0,0,1,1,1,1,0,0,0,1,0,2,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,1,2,1,0,0,0,1,1,0,0,2,0,0,1,0,0,0,0,1,1,0,1,0,2,0,2,1,2,0,1,0,1,1,1,1,1,0,1,0,0,2,1,1,1,0,2,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,2,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,2,1,1,0,1,1,1,0,2,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,0,2,0,1,1,1,2,2,0,0,2,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,2,1,0,0,0,1,0,0,2,1,0,0,1,1,1,2,2,1,0,1,0,0,2,1,0,2,0,2,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,2,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,2,0,1,0,0,0,2,1,0,2,0,1,1,1,1,0,1,2,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,1,1,2,0,0,0,2,1,1,1,0,1,1,1,1,0,0,0,0,0,2,2,2,1,1,1,1,0,1,1,1,0,2,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,0,0,1,1,0,1,0,0,2,0,0,0,1,1,2,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,0,0,0,1,1,0,2,0,0,0,2,0,1,0,1,0,0,0,0,2,0,0,0,0,0,1,2,0,0,2,1,0,0,2,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,1,1,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0 0,0,1,0,1,1,1,1,1,2,1,0,2,1,1,1,0,0,0,0,1,0,0,2,0,0,1,1,0,2,0,0,0,0,0,0,2,1,0,0,1,1,0,1,0,1,1,2,0,2,1,0,0,0,0,0,1,1,0,2,0,0,0,0,1,1,1,1,0,0,1,0,1,0,0,0,1,2,1,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,1,0,1,0,1,1,1,0,1,2,0,1,0,1,1,0,0,1,0,1,0,1,2,2,2,2,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,1,2,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1,1,2,0,2,1,0,0,0,0,1,0,2,0,1,0,1,0,2,0,1,0,0,2,1,0,1,0,0,0,0,0,1,0,2,0,1,2,0,0,1,1,1,1,0,0,1,1,1,2,1,0,0,0,0,0,0,1,2,1,1,0,0,1,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,1,1,1,2,2,2,0,0,1,0,0,2,0,0,1,0,1,1,0,0,0,1,0,0,0,1,2,0,0,1,0,1,0,2,2,1,0,0,0,0,2,0,0,0,1,0,2,0,1,0,0,0,1,1,0,0,1,0,0,2,1,0,0,0,0,0,0,2,1,0,0,1,0,0,2,0,0,0,0,1,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,0,0,0,0,1,1,1,0,2,0,0,0,1,1,0,0,1,1,0,0,0,2,2,1,0,0,0,1,0,2,0,0,1,2,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,1,1,0,0,2,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,2,2,0,1,1,0,1,2,0,0,1,2,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,1,1,2,0,0,1,1,0,0,1,2,1,0,1,0,1,1,0,0,1,1,0,2,0,0,2,0,0,0,1,0,2,1,0,0,0,0,0,2,2,0,0,1,0,0,0,1,0,0,0,2,1,1,0,2,0,1,2,0,1,1,0,0,0,0,1,0,2,0,1,0,0,2,1,0,0,0,2,0,1,1,0,0,1,1,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,2,0,0,2,0,1,1,1,0,1,1,2,1,0,0,2,0,1,0,1,1,0,0,2,0,1,0,2,0,2,0,0,0,1,0,0,0,1,0,1,2,0,0,0,0,0,0,0,1,0,0,1,0,1,2,0,0,0,1,0,1,1,0,1,0,0,1,0,0,1,2,0,1,1,1,0,0,0,0,1,0,2,0,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,1,1,0,1,1,0,1,0,1,1,2,1,1,1,1,2,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,1,2,0,1,2,2,0,0,1,0,1,0,0,0,0,0,1,1,0,0,2,0,1,1,1,0,0,1,2,0,0,1,1,0,1,0,0,0,0,0,2,1,0,1,1,1,0,0,0,1,0,0,1,2,1,1,2,1,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,1,1,2,0,1,0,0,1,1,2,0,1,0,0,0,0,0,2,0,1,0,0,0,0,1,0,1,1,0,1,1,1,1,0,0,2,0,0,0,0,1,1,2,2,2,1,0,0,0,1,0,2,0,2,0,1,1,1,1,1,1,1,0,2,0,0,1,2,0,1,0,0,0,0,0,1,0,2,0,0,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,1,2,1,0,0,1,0,1,0,0,0,0,1,1,2,1,0,0,1,0,1,1,0,0,1,1,2,0,0,1,0,0,0,0,2,1,0,1,1,2,1,1,1,1,0,1,2,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0 0,0,0,1,2,0,0,0,0,1,2,1,0,2,1,0,0,1,1,0,0,0,0,1,1,1,1,2,0,2,1,0,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,2,1,2,0,0,2,0,0,1,1,0,1,0,0,0,0,0,1,1,1,1,1,0,0,1,1,1,0,0,0,1,2,0,1,0,1,1,0,0,0,1,0,0,1,2,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,2,1,0,2,0,2,0,0,0,0,1,2,0,0,0,1,1,0,2,2,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,2,0,1,0,0,0,1,0,1,0,0,0,2,1,0,1,1,1,1,1,1,0,0,1,2,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,1,1,0,2,0,0,0,0,0,0,2,0,0,0,2,0,0,0,1,0,1,1,2,2,0,1,0,1,2,0,0,0,0,2,0,0,1,0,1,1,0,0,1,0,2,1,0,1,0,0,0,0,1,1,1,0,0,0,0,2,0,1,0,0,1,0,0,2,1,0,0,1,1,0,0,1,1,2,0,1,1,1,0,0,1,0,1,1,1,1,0,0,1,1,2,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,2,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,2,0,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,2,1,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2,1,0,1,0,1,0,0,1,0,2,0,1,0,1,1,0,0,0,0,2,0,2,0,2,0,2,0,0,1,2,0,0,0,1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,2,2,2,0,0,0,0,2,1,0,0,0,0,0,1,1,0,1,0,0,2,2,0,0,0,1,0,0,0,2,0,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,1,2,2,1,0,1,0,1,1,0,2,0,2,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,2,0,0,2,1,0,0,0,1,0,0,1,1,2,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,2,1,0,0,1,0,0,1,2,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,1,2,1,2,1,1,0,1,0,2,1,0,1,1,1,1,0,0,0,2,0,1,0,1,0,1,0,0,2,0,2,0,1,0,1,0,0,0,1,0,0,0,2,1,1,0,0,1,0,0,0,1,1,0,0,1,0,1,0,2,0,1,0,1,0,0,0,2,0,1,0,0,1,2,0,0,0,0,0,0,0,1,1,1,0,2,1,1,2,2,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,2,0,1,1,0,0,0,0,0,1,1,1,0,0,1,0,1,2,0,2,1,0,1,0,1,0,1,0,1,2,1,0,1,1,1,1,0,0,0,0,0,0,0,2,0,0,2,1,0,0,0,0,1,1,0,0,2,0,0,2,0,1,0,2,1,1,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,1,2,0,0,0,1,0,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,2,0,1,0,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,2,0,1,0,0,0,1,0,1,0,0,2,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,2,2,1,0,1,0,0,2,1,0,0,1,1,0,0,0,0,1,0,0,2,0 1,0,0,0,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,2,2,0,0,1,0,1,0,1,0,1,2,1,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,2,1,0,2,0,2,2,0,0,0,1,0,0,0,0,0,2,2,0,1,0,0,0,1,1,1,0,0,1,0,0,2,0,0,1,0,0,0,2,0,1,0,1,0,1,0,2,0,0,1,2,0,1,1,1,1,0,0,0,0,0,1,0,2,1,1,0,1,0,0,0,1,1,0,0,0,1,1,2,2,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,1,0,2,2,0,0,0,1,0,0,2,0,1,0,1,1,1,0,2,1,2,0,0,0,0,0,0,1,0,1,0,2,0,1,0,0,0,0,2,0,2,1,0,0,1,0,0,2,1,0,0,0,2,0,0,1,2,1,0,1,0,1,0,1,0,1,2,2,1,0,2,0,2,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,1,2,0,1,0,0,0,1,1,2,1,1,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,2,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,2,0,0,1,0,2,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,2,0,0,2,0,0,1,0,1,0,1,2,0,0,0,0,1,0,1,0,0,1,0,1,1,0,1,1,2,1,1,2,1,1,0,1,1,0,0,0,1,1,0,0,2,1,2,0,1,1,0,1,0,1,2,2,2,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,2,1,1,0,0,0,2,1,0,1,0,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,2,1,1,1,0,1,0,1,0,0,1,1,1,1,0,2,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0,1,0,2,1,0,0,0,1,0,0,2,1,0,0,0,0,0,2,1,0,0,0,1,0,0,0,1,0,0,0,1,1,2,0,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,2,0,0,1,2,1,0,1,1,0,1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,2,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1,1,0,1,1,0,1,1,1,0,0,2,0,1,0,0,1,0,1,0,0,1,1,0,2,0,0,1,2,0,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,0,0,2,0,0,0,0,0,0,0,0,0,1,1,1,2,1,1,0,0,1,0,0,0,2,1,1,1,0,1,1,2,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,2,0,2,1,0,0,0,1,0,0,1,2,1,1,0,2,0,0,2,1,0,0,0,1,0,1,0,1,0,1,1,0,0,2,0,1,1,2,1,0,0,0,1,1,1,2,1,0,0,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,2,0,1,0,1,1,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,2,2,0,2,0,0,0,0,0,1,0,1,1,0,0,2,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,2,0,0,1,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0 1,0,0,1,2,0,0,1,1,0,1,1,1,2,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0,2,1,2,0,0,0,1,0,2,0,1,1,0,0,1,0,0,1,2,0,1,0,1,1,1,0,1,0,0,1,0,2,0,0,1,0,0,0,1,2,1,1,0,0,0,0,0,1,1,0,2,0,0,1,2,2,1,0,0,1,1,0,1,0,0,1,2,1,1,0,0,0,0,2,1,0,0,1,0,0,1,1,1,0,1,0,2,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,2,0,1,0,1,2,2,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,2,1,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,2,0,1,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,2,0,1,1,0,0,0,0,0,0,0,1,2,1,0,1,0,1,0,0,1,1,2,1,1,0,0,0,1,0,1,2,1,1,0,0,0,0,0,0,0,2,0,0,0,1,1,0,1,2,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,1,1,0,1,1,0,0,2,0,2,2,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,2,0,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,1,1,1,0,0,0,2,2,0,2,0,1,2,0,2,0,1,0,1,2,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,2,0,1,1,2,1,0,1,0,1,0,2,1,0,0,0,0,1,0,1,1,1,2,0,1,1,0,0,0,0,0,0,1,1,1,2,0,1,1,0,1,0,1,0,1,0,0,0,0,1,1,1,0,2,0,1,1,0,0,0,1,0,2,1,1,0,0,2,0,0,1,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,2,1,1,1,0,0,0,0,1,2,1,1,0,0,0,0,1,1,1,2,1,0,0,0,0,0,1,1,1,0,1,1,2,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,2,0,0,0,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,1,0,2,1,1,0,2,1,0,1,0,1,1,0,0,2,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,1,2,0,0,1,0,0,2,0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,1,0,1,0,1,0,0,1,1,2,0,0,1,0,2,0,0,0,2,1,0,0,2,0,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,1,0,1,1,2,1,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,1,2,0,0,0,1,0,0,2,1,1,0,1,2,1,1,1,1,0,0,0,0,1,1,0,1,1,0,2,0,1,1,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,0,2,0,0,0,2,0,1,0,1,1,2,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,0,2,0,0,0,0,1,0,0,0,0,2,0,1,0,0,2,0,1,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,2,0,0,0,0,0,1,0,2,0,1,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0,1,1,1,1,1,2,0,0,0,0,0,1,0,0,0,1,0,2,1,1,0,1,0,0,1,0,0,1,0,1,0,0,2,0,0,2,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0 1,0,0,2,0,1,0,0,0,0,2,0,0,0,0,1,0,1,1,0,0,0,0,1,0,2,1,1,1,0,0,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,1,1,2,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,2,1,0,2,0,0,1,1,0,1,1,2,1,0,0,0,1,1,0,1,0,1,0,1,0,2,2,0,0,0,0,0,1,1,0,0,1,1,1,1,2,0,0,0,1,0,0,0,1,0,0,0,1,1,2,1,2,1,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,2,0,1,2,1,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,1,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0,2,1,0,0,1,0,1,2,0,0,1,0,0,0,1,0,0,1,2,0,1,0,2,0,0,0,2,2,0,0,1,1,2,2,1,0,0,0,1,0,0,0,0,1,1,1,0,1,1,1,1,2,2,1,0,0,2,0,0,1,1,1,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,2,1,1,0,0,1,0,0,1,1,2,0,0,1,2,1,1,0,0,0,2,1,0,0,0,0,0,2,2,1,2,1,0,1,0,1,1,1,1,1,1,1,1,0,0,1,1,0,2,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,1,0,1,2,0,1,0,0,1,0,2,0,0,1,1,1,1,1,0,2,0,1,1,0,2,0,0,2,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,2,0,0,0,1,1,0,0,0,1,0,0,1,2,0,1,0,1,1,0,0,2,1,2,2,0,0,1,0,0,2,1,1,0,0,2,0,1,0,0,2,0,1,1,2,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,2,0,0,1,0,1,1,0,0,1,0,0,0,2,0,2,0,0,0,0,0,0,0,2,2,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,2,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,2,1,1,0,1,1,0,1,0,1,0,2,1,1,2,0,0,1,2,0,1,1,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,2,0,1,1,1,0,1,0,0,1,0,0,2,0,0,2,2,0,0,0,1,0,0,2,0,1,1,1,0,0,1,2,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,1,0,1,2,1,0,1,0,2,0,0,0,1,1,1,0,2,1,1,1,0,2,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,2,2,0,1,0,0,1,0,0,1,1,0,1,2,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,2,0,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,2,0,1,1,0,0,1,1,1,0,0,0,2,0,1,1,2,2,0,0,0,0,0,0,0,2,1,1,1,1,0,0,0,1,1,0,2,0,1,1,0,2,1,1,1,0,1,0,0,0,2,1,0,0,0,0,1,1,0,0,2,0,0,0,0,1,0,1,0,1,1,2,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,2,2,1,0,0,0,0,0,0,2,0,0,1,1,0,0,0,2,1,2,0,0,1,0,0,1,2,0,0,1,0,0,0,0,1,0,0,0,0 1,0,0,1,1,0,0,0,1,2,2,0,0,2,1,1,0,1,1,0,0,0,0,0,1,1,2,2,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,2,1,1,0,2,0,0,1,0,1,0,1,0,2,1,1,2,0,0,0,1,0,2,0,1,2,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,1,0,1,0,0,0,2,1,0,1,0,2,1,0,2,2,1,0,1,0,1,0,0,0,1,1,1,0,0,2,1,1,2,1,0,0,0,0,1,1,2,2,0,1,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,2,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,2,0,0,1,0,1,1,0,2,2,0,0,0,2,1,1,0,0,1,1,1,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,0,1,1,2,1,2,1,0,2,0,0,0,0,2,1,0,0,1,0,1,0,2,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,1,2,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,2,1,0,0,0,2,0,0,1,1,1,0,0,2,1,0,0,0,0,0,0,1,2,0,1,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,2,2,0,0,0,1,0,0,0,1,1,0,0,0,2,1,0,0,0,0,0,1,2,0,1,0,1,0,1,1,1,0,0,0,0,2,1,0,0,1,0,0,1,2,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,2,0,0,0,2,1,2,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,2,0,0,0,0,0,0,0,0,2,1,0,0,2,0,2,2,1,1,0,1,0,2,1,1,0,1,0,1,0,2,1,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,1,0,1,0,1,0,1,2,0,2,0,1,0,1,0,0,1,1,0,0,0,0,1,1,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0,1,1,1,0,2,0,1,0,0,0,0,1,1,2,0,0,0,0,1,1,2,0,0,0,1,0,1,0,0,1,0,1,0,2,0,1,0,1,0,0,1,0,1,0,0,1,2,1,2,1,0,0,0,2,1,1,1,1,1,0,0,0,1,1,0,1,2,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,2,1,0,0,1,0,2,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,1,1,0,1,2,1,1,1,1,2,2,0,0,0,1,1,1,1,0,2,0,1,0,1,1,0,1,2,1,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,1,2,1,1,0,2,2,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,2,1,1,0,1,0,0,1,0,0,1,2,1,0,1,0,0,1,0,0,0,0,2,0,2,1,0,1,1,1,2,2,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,2,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,2,1,2,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,2,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,1,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,1,2,2,2,2,0,0,1,0,0,1,0,1,1,0,0,0,1,0,2,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0 1,0,0,2,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,2,2,0,0,0,0,0,2,0,0,2,1,0,0,1,1,1,1,0,0,0,1,0,2,0,2,1,0,1,0,0,1,0,0,1,0,1,1,0,1,0,1,1,2,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,1,2,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,2,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,2,1,0,0,2,0,0,1,0,0,0,1,0,0,2,0,1,0,0,0,2,1,0,0,1,0,1,2,0,0,0,1,0,1,0,2,0,1,0,0,2,1,0,2,0,0,0,0,0,1,1,1,0,2,0,0,0,1,1,0,2,0,0,1,2,1,1,1,0,0,0,1,0,1,0,2,2,0,0,0,1,1,0,0,0,2,2,0,0,1,0,2,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,2,0,1,0,0,0,1,0,0,2,0,0,1,0,0,0,1,1,1,0,1,2,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,2,0,0,1,1,0,0,0,1,0,1,0,1,0,1,2,0,1,0,0,1,0,1,1,0,0,2,0,1,1,2,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,2,1,0,0,1,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,2,0,1,2,0,0,0,0,0,0,0,1,0,2,2,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,1,2,0,1,0,0,1,1,0,0,0,1,2,0,1,0,2,0,0,0,1,1,1,0,0,1,0,1,0,1,1,0,0,2,1,0,1,0,1,0,1,1,2,0,0,0,0,1,0,1,1,0,1,0,1,0,0,2,1,0,0,0,0,1,1,1,2,0,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,1,1,0,2,0,2,1,0,0,0,1,0,1,1,0,0,1,1,0,2,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,2,1,1,0,1,2,1,0,1,0,0,1,1,1,2,0,0,0,1,0,0,0,0,0,0,2,0,2,0,0,0,0,1,2,0,2,0,1,0,1,0,1,0,0,0,0,1,0,1,2,1,0,2,0,1,2,1,0,2,2,0,0,1,0,1,0,1,0,1,0,0,0,0,1,2,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,2,1,0,0,1,0,2,2,1,1,2,0,1,0,2,0,0,0,1,2,0,0,0,0,1,0,0,0,1,0,0,2,1,0,0,1,1,1,1,0,1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,2,2,2,1,1,0,0,0,0,0,2,1,2,0,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0,2,2,2,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,2,0,0,1,2,0,0,1,2,0,0,0,1,0,2,0,1,1,1,0,0,2,0,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,1,2,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,2,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,2,0,1,0,0,2,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,1,1,1,1,0 1,0,2,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,2,0,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,2,1,1,0,2,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,2,0,1,1,2,1,2,1,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,2,0,0,1,0,1,0,0,0,1,0,2,0,1,0,2,0,1,0,0,0,0,0,1,1,1,0,2,1,0,0,0,0,1,1,2,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,2,1,0,0,1,0,2,0,2,1,0,2,2,0,2,0,1,0,1,2,1,0,0,1,0,2,0,2,0,0,0,0,2,0,0,0,1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,2,1,1,0,0,1,1,0,0,0,0,0,1,0,0,1,1,2,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,2,0,0,0,0,0,1,1,1,0,0,0,2,0,1,1,0,1,0,0,2,2,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,1,1,2,0,0,0,1,0,0,1,2,0,0,1,0,0,2,1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,2,0,0,0,2,1,0,0,0,0,0,0,0,2,2,2,0,2,0,0,1,1,0,0,0,1,2,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,2,0,0,0,0,1,0,2,0,0,2,0,0,0,1,0,0,0,1,0,1,2,0,0,1,0,0,2,1,0,1,0,2,2,1,0,2,0,1,0,0,0,1,2,1,2,0,0,0,2,0,0,1,0,0,0,0,1,2,1,1,1,1,2,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,2,0,1,0,1,1,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,0,0,1,1,0,1,0,1,0,0,0,1,2,0,1,0,0,0,0,0,1,1,2,2,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,1,2,1,0,0,1,1,1,0,0,0,1,1,2,2,0,0,0,0,1,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,2,1,0,0,1,0,0,2,0,0,0,1,0,1,0,1,2,0,0,0,1,2,0,0,0,0,0,2,0,1,1,0,0,1,0,0,2,0,0,0,1,0,1,0,1,0,0,0,1,0,2,1,1,0,1,1,0,1,2,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0,2,2,0,1,1,0,0,1,0,0,2,0,1,1,2,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,1,1,0,1,1,2,1,0,0,1,1,0,0,1,1,2,0,0,1,1,0,1,1,0,0,0,0,0,2,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,1,0,1,1,2,1,1,0,0,0,0,1,2,0,0,1,1,0,2,1,0,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,2,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,2,2,1,1,2,0,2,0,0,2,0,2,0,0,0,1,0,0,2,1,0,1,0,2,0,2,0,1,0,0,0,0,1,2,1,0,1,1,0,1,2,2,2,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0 1,0,0,2,0,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,2,1,1,0,2,1,1,0,1,0,2,0,0,0,2,2,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,2,0,1,0,1,0,0,0,1,0,1,0,2,0,1,2,0,0,1,1,0,2,0,0,0,1,0,2,1,2,0,2,2,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,2,1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,1,0,0,0,0,2,0,1,1,2,0,2,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,2,0,0,2,1,1,0,0,1,1,0,0,1,0,0,0,0,2,0,1,0,0,2,2,0,0,2,1,2,0,1,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,2,0,0,0,1,0,0,1,1,0,0,0,0,0,2,0,1,1,0,0,0,1,1,0,1,0,2,2,1,0,0,1,1,2,0,1,1,0,0,1,1,0,1,1,2,0,0,2,0,2,0,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,2,2,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,1,1,1,0,0,0,2,1,1,1,0,0,2,1,1,0,0,1,0,0,0,2,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,2,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,2,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,2,2,1,0,0,0,1,0,0,0,1,1,2,0,1,0,0,1,0,0,1,0,1,1,1,1,2,1,0,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,2,0,0,2,0,1,0,2,1,0,0,0,0,1,2,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,1,1,1,1,0,0,2,0,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,1,2,1,1,0,0,0,2,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,1,1,0,2,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,2,0,1,0,0,0,0,0,0,1,2,1,0,2,1,0,1,2,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,1,2,1,0,0,1,1,1,1,0,0,0,2,1,0,2,1,1,1,1,0,0,0,2,0,2,0,1,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,1,1,1,0,2,1,0,0,0,2,1,0,0,0,1,0,0,1,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,2,0,0,2,0,0,0,1,0,1,0,1,1,1,1,2,2,0,1,0,0,1,0,2,0,1,0,0,0,1,0,1,1,0,0,0 2,0,0,2,0,0,0,2,2,0,1,1,0,1,2,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,2,2,0,0,1,0,0,1,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,2,1,0,0,1,0,0,2,0,0,1,0,2,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,2,1,2,0,1,0,2,0,1,2,1,1,1,0,0,0,0,2,0,1,0,1,0,1,0,0,0,0,0,2,1,1,0,0,0,0,1,0,0,0,1,2,2,1,0,2,0,1,1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0,2,0,1,0,0,0,2,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,2,0,0,1,0,1,1,2,0,1,1,2,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,2,0,1,1,1,1,2,0,0,0,0,0,2,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,2,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,2,0,0,1,0,0,1,0,1,0,0,0,0,1,2,0,0,0,0,0,1,0,0,2,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,1,0,0,0,1,1,1,0,0,1,1,0,1,0,1,2,1,0,0,0,0,0,1,0,1,0,0,1,0,2,1,0,0,0,0,1,1,1,0,0,0,2,0,0,1,0,2,1,0,0,2,0,2,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,2,0,0,1,2,0,2,0,1,0,0,1,1,0,0,0,1,1,1,1,2,1,0,0,1,0,0,2,0,0,1,2,0,0,1,1,0,1,0,0,1,1,0,0,2,2,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,1,0,2,0,1,0,1,1,0,0,1,1,1,0,2,0,0,0,1,1,1,1,0,0,0,2,1,0,1,0,1,0,2,1,1,1,0,1,0,1,1,0,0,1,2,1,0,0,1,0,0,1,0,1,1,0,2,1,0,2,0,1,1,1,0,0,2,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,2,0,1,0,1,0,0,2,0,0,0,0,0,1,0,0,1,0,2,1,0,0,0,1,0,0,0,2,1,1,0,0,0,2,0,1,0,0,0,0,1,1,2,2,0,0,0,0,1,0,1,1,1,0,2,0,1,0,0,2,0,1,2,0,0,0,0,0,1,0,0,0,1,0,0,1,2,1,0,1,0,0,1,0,0,1,0,0,0,0,0,2,1,1,1,0,0,0,0,1,0,0,2,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,2,0,1,2,0,1,0,0,0,0,0,2,0,0,0,0,1,1,0,2,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,2,1,1,1,1,0,1,0,1,1,0,0,1,0,0,1,2,1,2,1,0,2,1,0,0,0,0,2,2,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,2,1,0,1,0,0,2,0,0,0,0,0,1,1,1,0,2,0,1,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,1,2,0,0,1,0,1,1,0,1,0,1,0,0,0,1,2,1,0,0,0,0,0,0,0,0,2,0,0,1,1,1,0,0,1,0,0,1,0,1,2,0,1,1,0,0,1,1,0,0,0,0,0,1,0,2,0,0,1,1,0,1,0,1,0,0,2,0,0,0,2,1,1,2,1,0,1,0,1,0,0,1,0,0,0,0,1,1,1,1,0 1,1,1,2,0,2,1,0,0,1,0,1,0,1,1,1,0,2,0,0,0,0,1,1,2,1,1,2,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,2,2,0,1,1,0,0,0,0,0,0,1,0,0,2,0,0,2,1,1,2,1,0,0,0,0,0,2,1,1,1,0,1,0,0,2,2,0,1,1,0,0,2,0,0,0,0,2,1,1,0,0,1,2,1,0,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,2,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,2,0,2,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,2,1,1,0,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,2,0,1,0,0,0,0,0,1,0,0,2,0,1,0,0,2,0,0,0,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,1,0,2,0,1,0,0,0,0,0,2,0,1,1,0,0,0,0,0,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,2,0,1,0,0,2,1,1,1,0,1,1,2,0,0,0,1,0,0,2,1,1,0,0,0,0,1,0,0,0,0,2,0,0,1,0,0,0,1,2,2,0,1,2,0,0,2,1,0,0,0,0,2,2,0,0,0,0,0,2,0,0,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,2,0,0,2,1,0,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,2,1,0,2,0,1,1,0,1,0,1,0,0,2,0,0,2,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,2,1,0,0,2,2,1,2,0,1,0,0,2,1,0,1,1,2,1,0,1,2,1,0,0,0,2,0,0,1,0,0,0,1,1,0,0,0,2,2,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,0,2,1,1,0,1,0,0,1,1,0,1,0,2,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,2,1,0,0,1,2,1,0,1,2,0,1,0,1,0,0,0,0,0,0,1,0,1,1,2,1,0,0,0,1,0,1,1,1,0,2,2,0,0,2,1,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,1,2,2,0,2,1,0,2,1,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,1,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0,0,2,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,2,2,0,1,1,0,1,0,1,0,1,2,2,0,1,0,1,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,0,1,1,1,0,1,1,0,1,1,2,0,0,1,0,2,2,1,0,0,1,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,1,2,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,2,0,1,0,1,2,1,1,0,0,0,2,0,1,1,2,1,1,1,0,0,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,2,0,0,0,0,0,1,0,1,0,0,1,2,0,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,1,2,0,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,2,1,1,0,0,0,0,1,1,0,1,0,2,1,0,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0,2,1,0,1,1,1,0,0,0,1,0,2,0,1,0,0,1,0,0,2,1,1,0,0,1,0,0,2,1,1,0,1,1,0,2,2,1,1,1,0,1,1,0,0,0,2,0,1,0,0,1,0,1,1,0,0,0 0,0,2,1,1,0,0,1,1,2,0,1,0,1,1,0,0,1,0,0,0,0,1,0,2,1,1,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,2,0,0,0,0,0,1,1,1,2,0,0,0,1,0,0,1,0,1,2,1,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,2,0,1,1,1,1,1,0,0,0,1,0,0,2,0,0,0,0,1,1,0,1,0,1,0,1,0,0,1,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,2,1,0,0,2,0,1,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,2,0,0,0,2,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,1,2,0,2,0,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0,1,1,1,0,0,2,1,0,0,0,2,0,0,0,1,0,1,1,1,0,0,0,0,2,1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,1,0,1,0,0,1,2,1,0,0,0,0,2,1,0,0,2,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,2,0,0,2,1,0,0,0,2,0,1,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,1,1,1,1,2,1,1,2,2,1,2,0,1,0,1,1,1,0,2,0,0,2,0,0,0,1,0,1,0,0,2,1,1,2,1,0,0,0,0,1,0,0,0,0,1,2,1,2,0,0,0,2,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,2,0,1,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,2,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,1,0,1,2,2,1,0,0,0,0,0,1,0,0,1,1,0,0,2,1,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,2,0,0,0,1,1,0,0,0,1,0,0,0,2,0,0,0,2,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,1,0,1,0,0,0,2,1,0,0,2,1,2,0,1,2,0,0,0,0,1,0,1,0,0,1,2,0,0,0,1,1,0,2,1,0,0,1,0,2,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,2,0,0,0,0,1,0,0,1,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0,2,0,1,2,0,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,1,0,1,2,0,0,0,0,1,0,1,2,1,0,1,1,0,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,2,1,0,2,2,1,0,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,1,2,0,2,1,2,1,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,2,0,0 0,1,0,1,0,0,0,0,0,2,1,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,2,1,0,0,0,0,2,0,1,0,0,1,0,0,1,1,2,0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,1,0,1,1,0,1,0,0,2,0,1,0,2,0,0,0,0,1,2,1,0,1,0,1,0,0,0,0,0,1,1,1,1,1,0,1,1,0,2,2,0,0,0,1,1,1,1,0,0,1,2,1,1,1,0,0,2,2,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0,0,0,2,0,0,1,1,1,1,0,0,0,1,0,0,2,0,0,1,0,0,0,0,1,1,0,1,0,2,1,0,0,0,1,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,1,2,1,0,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,2,1,1,0,0,2,0,2,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,1,2,1,1,0,0,0,2,1,1,0,0,0,0,0,0,0,0,2,2,1,1,1,0,0,2,0,0,1,0,1,0,1,2,0,2,0,1,0,1,0,0,0,1,0,1,0,0,1,1,0,0,2,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,1,0,1,1,0,0,0,2,1,0,0,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,1,1,1,1,2,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,2,0,2,0,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,1,0,1,0,2,1,0,0,1,1,1,0,1,1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,1,1,2,0,1,0,0,0,1,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,1,0,1,1,0,2,2,0,0,0,0,0,0,1,0,1,0,1,0,0,2,0,0,2,0,1,0,1,2,1,1,2,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,1,1,0,1,1,1,2,1,1,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,2,1,0,0,0,0,1,1,0,2,0,0,1,0,1,0,1,0,1,0,1,0,2,0,2,0,1,0,1,1,1,1,2,1,1,2,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,2,1,1,1,0,1,0,2,0,0,1,0,0,0,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,2,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0,2,0,0,0,1,1,2,0,1,0,0,0,0,0,1,1,0,1,2,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,2,2,0,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,2,0,1,1,1,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,2,1,1,2,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,2,0,0,2,1,0,1,2,1,0,1,0,1,0,1,1,0,0,2,0,0,1,0,0,2,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,1,0 0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,2,2,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0,0,0,2,0,0,0,2,1,0,0,0,0,1,1,2,0,0,1,0,0,1,0,0,0,0,2,1,0,0,0,0,2,2,0,2,0,0,0,0,1,1,1,0,0,0,0,2,0,1,2,1,0,0,1,0,0,2,2,0,0,1,0,0,1,0,0,1,0,2,0,0,1,0,0,1,0,0,1,1,0,1,0,1,0,2,0,1,1,0,0,0,0,1,1,0,0,2,0,1,0,1,0,1,1,2,0,1,0,1,2,0,0,1,0,0,1,1,0,0,0,2,0,0,1,0,0,0,2,0,1,0,0,0,0,1,1,0,0,2,0,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0,2,0,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,2,0,2,0,0,1,1,0,0,2,1,2,2,1,0,2,0,1,0,0,1,1,1,0,0,0,0,0,0,1,2,0,0,1,0,0,1,2,1,0,0,1,0,0,1,2,0,1,0,0,0,0,1,1,1,0,1,2,1,1,0,2,1,1,0,2,0,2,2,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,2,1,0,0,0,0,0,2,1,0,1,2,1,0,0,0,0,0,0,0,1,1,0,1,2,0,0,1,1,0,1,0,1,2,1,0,0,0,2,0,0,0,1,2,1,1,0,0,0,2,0,1,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,1,1,2,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,2,1,1,1,0,0,0,0,2,0,1,0,1,0,0,0,1,0,0,0,1,0,2,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,2,2,1,1,1,1,1,0,0,1,0,2,2,0,0,0,0,0,0,1,2,0,1,0,0,0,2,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,2,0,0,1,1,0,0,0,2,0,0,1,1,0,1,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,2,2,2,0,0,1,1,0,1,0,0,0,0,1,1,0,2,1,0,1,0,1,0,1,2,2,1,1,0,2,0,1,1,1,0,2,0,2,1,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,1,1,0,0,0,0,1,1,0,1,0,2,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,2,0,1,0,0,0,0,0,2,0,0,0,1,2,1,2,1,1,1,0,1,2,0,0,1,0,0,0,0,0,2,1,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,1,0,0,0,2,1,1,0,0,0,1,0,0,0,0,1,1,2,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,2,0,1,0,1,2,2,2,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,2,0,0,1,0,0,0,0,0,2,1,1,1,0,0,0,0,0,2,1,0,0,1,0,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,2,0,1,1,0 0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,0,1,2,0,0,1,1,2,0,0,1,0,0,0,2,0,1,0,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,2,0,0,1,0,0,0,0,1,0,0,2,0,2,1,1,2,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,2,1,0,0,1,1,0,1,0,0,2,0,1,1,0,0,0,0,2,0,1,1,1,0,1,0,1,0,2,1,0,0,0,0,0,0,0,1,2,0,0,0,1,0,1,0,0,2,0,1,0,0,2,0,1,1,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,1,1,1,0,1,0,0,0,1,1,1,0,2,1,1,0,1,1,0,0,0,0,0,2,0,2,1,1,0,2,0,0,2,0,0,1,1,0,0,1,1,1,0,1,0,1,2,0,0,1,0,1,0,1,0,0,0,0,1,2,0,1,0,1,0,0,2,1,1,1,1,0,2,0,1,1,2,0,1,0,0,1,1,1,1,1,0,0,2,1,1,1,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,1,0,0,2,2,0,1,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,2,0,1,1,1,0,1,1,1,0,0,1,0,1,2,1,1,1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,2,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,2,0,0,1,2,2,0,0,0,0,2,0,0,1,1,1,0,1,0,1,0,2,0,0,1,1,1,1,1,0,1,0,2,0,0,0,1,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,1,0,2,2,2,0,0,0,0,2,1,0,1,0,1,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,2,0,0,1,2,1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,2,0,1,1,1,0,1,0,0,1,1,0,0,2,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,2,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,2,1,1,1,2,0,1,0,0,0,2,0,1,0,0,1,0,1,1,2,0,1,2,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,2,0,2,2,1,0,1,0,1,0,0,2,1,1,0,0,0,0,1,0,1,1,1,1,0,1,0,1,0,2,0,0,0,0,1,2,0,2,0,2,1,0,0,1,0,2,1,1,0,0,0,1,1,0,0,1,0,0,2,0,1,1,2,0,2,0,2,1,1,0,2,1,1,0,0,0,2,0,0,1,2,1,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,2,0,1,0,0,0,0,2,0,1,0,1,1,0,0,0,0,0,1,1,2,0,1,2,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,2,2,1,0,1,0,0,2,0,1,2,1,0,0,0,1,1,2,1,0,0,1,0,2,1,0,0,0,1,2,1,0,1,2,2,1,0,0,2,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,1,1,0,0,0,2,0,1,1,0,1,1,0,0,1,1,2,0,0,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,2,0,0,0,1,1,1,0,2,0,0,1,0,1,1,0,1,2,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0 0,1,0,0,2,0,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,2,0,1,1,0,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,1,0,0,1,1,1,1,1,1,0,0,1,0,1,1,0,1,1,2,0,0,0,0,0,0,0,0,1,0,2,0,0,2,1,0,2,0,1,0,1,0,1,1,0,2,0,1,0,0,0,0,1,0,0,0,0,2,0,1,1,2,1,0,0,0,0,0,0,2,1,0,1,1,0,1,2,1,0,0,0,0,2,0,0,1,1,1,1,0,0,1,1,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,2,1,0,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0,2,0,0,0,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,1,2,2,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,2,1,0,0,2,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,1,1,2,0,0,0,1,0,0,2,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,2,0,0,0,2,1,0,0,0,2,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,1,0,2,0,0,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,1,2,1,0,0,1,0,0,0,1,1,2,0,2,1,0,0,1,0,1,0,1,0,0,0,1,1,1,2,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,2,1,1,1,2,0,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,1,1,2,1,0,0,0,0,0,0,1,0,1,0,1,2,1,0,1,0,0,0,1,0,1,0,0,1,1,0,0,2,1,1,0,0,1,0,0,0,0,1,1,1,2,1,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,1,0,1,0,0,0,2,0,1,0,2,0,0,0,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,1,0,1,1,0,1,1,1,0,1,1,2,1,0,1,0,1,1,0,0,0,1,0,0,0,0,1,0,1,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,2,1,1,2,1,0,0,1,1,0,1,1,0,2,1,1,1,1,1,0,0,0,2,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,2,0,1,1,0,0,0,0,0,2,1,2,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0,1,2,1,0,0,0,2,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,1,0,0,0,0,2,0,2,1,1,1,0,0,1,2,1,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,1,2,0,0,2,2,0,0,0,0,1,2,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,1,1,1,1,2,0,0,0,1,1,0,0,1,1,0,0,1,2,0,0,1,0,1,0,2,0,0,1,0,0,0,0,2,2,0,0,1,1,0,2,1,0,1,2,0,0,2,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,1,1,2,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,2,1,0,2,0,2,1,1,0,0,1,1,1,0,1,1,0,1,2,0,0,0,1,0,1,0,0,0 0,0,1,1,0,1,0,2,0,1,2,1,1,1,1,0,0,2,0,0,0,1,0,0,1,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,1,0,0,0,1,0,2,1,0,0,0,1,0,2,2,0,0,0,0,1,1,1,0,1,1,1,1,2,1,0,1,0,1,0,0,1,1,0,2,1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,1,1,1,1,0,1,2,1,2,1,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,2,0,0,0,1,1,0,1,2,2,2,0,0,1,0,0,0,0,1,1,1,0,1,1,2,1,1,0,0,1,0,0,0,1,0,1,1,2,1,0,0,1,0,0,1,0,1,0,0,0,0,2,0,1,1,2,1,0,0,0,0,1,0,0,0,1,0,2,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,2,0,0,0,1,1,2,1,2,1,1,0,0,1,0,0,1,0,0,1,0,2,0,0,2,0,0,1,1,1,0,1,1,0,1,0,1,0,0,2,0,0,0,2,1,0,0,1,1,0,0,0,0,2,0,0,2,0,1,0,1,0,0,0,1,1,2,0,2,1,2,0,0,1,0,2,2,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,1,2,0,0,2,2,1,0,0,0,1,2,0,1,1,0,1,0,0,1,1,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,2,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,1,0,1,1,1,2,0,0,0,1,0,0,0,2,0,0,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,2,1,0,0,1,0,1,2,2,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,2,1,1,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,1,1,1,2,0,0,0,0,2,1,0,1,0,0,0,2,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,2,2,0,0,1,0,1,0,0,2,0,0,0,0,0,1,1,0,1,1,1,1,0,1,0,1,0,1,1,0,0,2,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0,1,0,0,0,1,1,0,2,1,0,0,0,0,1,1,0,1,0,0,1,0,1,0,1,2,0,0,0,2,0,0,0,0,0,0,1,0,0,2,0,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0,0,0,1,2,1,1,0,0,0,0,2,1,0,0,2,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,1,2,2,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,0,2,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,1,2,0,0,0,1,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,1,1,1,1,0,1,0,0,2,0,0,0,1,0,0,0,1,2,1,2,0,1,0,2,1,0,0,1,0,1,0,0,0,0,1,0,2,1,0,0,0 1,0,1,1,0,1,0,2,1,2,1,1,1,1,2,1,0,0,1,0,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,2,0,1,0,1,2,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,2,1,1,1,0,1,0,0,1,1,1,2,0,0,1,0,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,2,0,0,0,1,0,1,2,0,1,1,1,1,0,0,1,0,2,0,0,2,0,0,0,1,0,0,0,0,2,1,0,1,1,1,1,0,0,1,0,1,0,2,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,2,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,1,0,2,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,2,1,0,2,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,1,1,1,1,1,1,0,0,1,0,2,0,0,0,1,0,0,0,1,1,1,1,1,0,0,1,0,2,1,0,1,1,1,2,1,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,2,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0,2,2,0,0,2,0,0,0,1,1,2,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,2,0,0,1,1,0,1,2,1,0,0,1,2,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,1,2,0,0,0,1,0,1,2,0,1,0,0,0,1,1,2,0,0,0,0,1,1,2,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,2,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,2,0,0,0,0,0,0,1,0,1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,2,0,0,0,1,0,0,0,0,0,0,2,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,1,1,1,1,0,0,1,2,1,0,1,0,0,2,0,0,0,1,2,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,0,1,0,2,0,0,1,0,0,1,2,1,0,1,1,0,0,1,0,2,2,0,0,1,1,0,1,1,0,0,1,2,0,0,2,0,0,0,1,0,0,0,1,1,0,0,0,0,2,2,1,0,1,0,1,1,2,0,0,0,1,0,0,1,2,1,1,1,0,0,0,2,0,2,0,0,0,1,0,2,0,0,1,1,1,0,1,0,1,2,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,2,1,1,0,0,0,1,1,1,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,2,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,1,0,0,0,0,0,1,2,0,0,1,0,0,1,0,0,0,0,1,0,0,1,2,0,1,1,0,0,2,1,1,0,0,1,0,1,2,0,0,1,1,0,0,0,1,1,2,0,2,0,1,2,0,0,1,0,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,1,1,0,0,0,1,1,0,2,0,0,1,1,0,0,1,0,0,0,1,0,1,0,1,2,1,0,2,0,1,0,1,0,0,1,0,0,1,0,0,1,1,1,1,2,0,1,1,1,1,0,0,0,0,1,0,0,0,2,1,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,2,0,2,0,0,2,0,0,0,0,0,1,0,0,1,0,2,2,1,0,0,1,0,1,1,2,1,0,0,0,0,0,2,1,1,2,0,1,0,0,2,0,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,2,1,1,1,0 0,0,1,1,1,0,0,1,0,1,1,0,0,1,2,1,0,2,2,0,0,0,1,0,0,0,0,2,1,0,0,0,1,0,0,0,1,2,0,0,1,2,2,0,0,1,0,2,1,1,0,1,0,1,2,0,0,1,0,2,0,0,0,0,0,0,0,0,1,1,1,0,2,1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0,2,0,1,2,0,1,1,2,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,1,0,1,0,2,2,1,1,0,1,0,1,0,1,0,1,0,0,0,2,0,2,1,1,1,1,1,0,0,0,1,2,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,2,1,0,0,0,1,1,1,0,0,0,2,0,0,1,0,2,0,0,0,2,0,0,0,1,0,1,0,0,0,0,0,0,0,2,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,1,1,0,1,1,0,0,0,0,1,2,1,1,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,2,0,1,0,0,2,0,0,0,0,0,1,0,0,1,0,1,0,0,0,2,0,1,1,1,2,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1,1,1,1,2,1,1,0,1,1,1,2,0,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0,2,2,1,2,0,1,1,0,1,0,0,2,0,1,0,0,0,1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0,2,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,2,0,1,1,0,2,0,2,2,0,1,1,0,0,0,0,1,0,0,2,1,0,1,0,0,1,0,1,1,1,1,2,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,2,2,0,2,2,0,1,2,0,2,1,0,2,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,1,1,1,0,2,1,1,0,1,1,0,0,2,2,0,1,0,0,1,2,1,0,1,0,0,1,0,0,0,2,1,1,0,0,0,2,0,1,0,0,2,1,0,1,0,0,0,0,0,2,0,1,0,0,1,1,2,1,1,2,0,0,1,0,0,1,1,1,1,1,0,0,2,0,2,1,2,0,0,0,0,0,0,0,0,1,0,2,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,2,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,2,1,0,0,0,1,0,1,0,1,1,1,0,0,0,1,0,1,2,0,0,1,0,0,0,1,0,1,0,1,1,0,2,0,0,1,0,0,1,0,0,0,0,0,2,1,0,1,1,1,1,0,1,1,1,0,0,1,0,2,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,1,0,2,0,0,0,1,1,1,2,2,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,2,1,0,1,0,0,2,0,0,2,2,0,0,0,0,1,1,0,1,0,1,0,0,0,0,2,1,0,0,0,2,0,0,0,1,0,1,0,0,0,1,2,0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,1,1,0,1,2,0,0,0,2,2,1,1,0,2,0,1,0,1,0,0,0,1,0,0,0,0,1,1,1,1,0 1,0,2,1,1,1,0,0,0,0,0,0,1,2,0,1,0,1,0,0,0,0,0,0,1,1,1,2,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,1,2,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,2,0,1,1,2,0,0,0,1,1,1,0,2,0,0,0,0,1,1,1,0,1,0,1,0,0,0,2,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,1,0,0,1,1,1,2,0,0,1,1,0,0,0,0,0,1,1,1,2,0,1,0,0,0,1,2,1,0,0,1,0,1,0,1,1,0,1,1,2,0,0,0,0,1,0,0,2,0,1,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,1,0,2,0,2,0,1,0,1,2,1,0,1,0,1,1,0,1,2,0,0,0,0,1,0,0,1,1,2,0,0,0,1,0,0,1,0,2,0,0,0,2,0,1,0,0,0,0,0,0,2,0,0,1,1,0,0,0,1,1,2,0,0,0,0,1,1,0,0,1,1,1,2,2,1,2,0,0,0,1,0,0,1,0,1,0,2,0,1,0,0,0,0,1,1,1,1,0,0,1,1,1,1,1,0,0,0,1,0,1,0,1,1,0,2,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0,1,1,0,0,2,0,0,0,0,2,0,0,1,0,0,0,2,1,0,0,0,2,2,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,2,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,2,1,2,0,1,0,1,2,0,1,0,1,1,1,0,2,0,1,0,1,0,1,0,1,0,1,0,0,1,1,1,1,1,2,1,0,0,1,0,0,0,1,1,1,0,0,0,2,0,1,1,0,2,0,2,0,1,0,0,0,0,1,1,0,1,2,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,1,0,0,0,1,0,2,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,2,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0,2,0,1,0,0,0,1,1,2,1,0,0,0,0,2,2,2,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,2,0,0,0,1,0,1,0,1,0,0,1,0,1,2,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,1,1,1,1,0,1,0,2,1,1,1,1,0,0,1,1,0,1,1,0,0,1,2,0,0,1,0,0,0,1,0,1,0,0,2,1,2,1,0,0,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,2,0,1,0,0,1,1,0,2,0,0,1,1,1,0,0,2,0,0,1,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,2,1,1,1,0,0,0,1,1,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,1,0,2,1,0,0,2,1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,1,1,1,1,1,0,0,2,1,2,2,1,0,1,0,1,1,2,0,0,1,0,1,1,0,2,1,2,0,1,1,0,0,0,0,0,2,0,1,2,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,2,1,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,1,0,2,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,2,0,0,1,0,0,0,2,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,2,0,1,1,0,1,0,0,1,2,0,0,0,0,0,1,2,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0 1,0,2,0,1,1,0,1,0,0,2,2,0,1,0,0,0,1,0,0,0,1,1,0,2,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,2,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,2,1,1,0,0,0,0,0,0,1,2,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,2,2,0,1,1,0,1,0,1,0,2,0,0,0,0,2,1,0,0,0,0,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,2,1,1,0,1,1,2,0,0,1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,1,1,1,0,0,1,1,1,0,0,2,0,1,1,1,0,0,0,1,0,0,0,0,1,1,2,0,1,2,1,1,0,2,0,0,0,1,0,1,0,1,0,0,2,0,1,1,2,0,0,1,0,1,0,1,2,0,1,1,1,0,2,1,0,1,0,0,1,2,1,2,2,0,0,0,1,0,1,0,0,0,2,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,1,2,0,0,2,0,0,1,0,2,1,0,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,2,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,2,0,0,1,1,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,0,2,1,0,0,1,0,0,2,0,0,0,1,1,0,0,2,0,0,0,1,0,0,0,1,2,0,2,1,1,0,0,0,1,1,0,1,1,0,0,1,0,1,0,1,0,1,2,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,2,2,0,0,1,2,1,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,2,1,0,2,0,1,0,2,0,0,0,0,0,0,0,0,0,2,1,0,1,0,1,1,0,0,1,0,2,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,1,0,0,1,0,1,2,0,1,0,0,1,0,1,0,1,0,0,2,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,1,0,2,2,1,1,0,0,0,0,1,1,1,1,0,1,0,0,2,0,0,0,0,1,0,0,0,1,0,0,2,1,2,0,2,1,0,1,0,1,1,1,0,0,0,0,0,2,0,2,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0,2,1,1,0,0,0,1,0,0,1,0,1,0,2,0,1,1,0,0,1,0,1,1,1,0,1,2,1,0,0,0,1,0,0,1,2,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,0,2,2,1,0,1,0,1,0,1,0,0,2,0,0,1,1,0,0,1,1,1,2,0,0,0,0,0,0,0,1,1,1,1,1,2,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,2,0,1,1,0,0,1,2,1,0,1,1,0,0,0,2,1,0,0,0,0,1,0,0,1,0,2,0,0,0,1,0,0,2,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0,1,0,2,0,1,0,1,0,0,1,0,2,1,1,1,2,0,2,2,0,0,0,0,1,0,0,1,0,2,0,0,0,2,1,1,0,1,1,0,1,1,0,1,1,0,2,0,1,1,1,1,0,0,0,1,1,0,0,1,1,1,1,2,0,0,0,0,1,1,0,1,0,0,2,0,1,0,0,2,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,2,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0 1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,2,2,0,0,1,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,2,0,1,1,0,0,0,0,1,0,1,0,1,0,0,1,0,2,0,0,0,2,0,0,0,2,2,0,0,0,2,0,1,0,0,0,0,0,0,1,0,1,0,0,2,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,2,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,2,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,1,1,1,1,0,1,0,2,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,2,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,2,0,0,2,0,1,2,1,1,1,0,0,0,0,0,0,0,2,0,2,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,1,2,0,0,1,2,1,0,0,2,1,1,0,0,0,0,1,2,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,2,0,0,0,0,0,1,1,1,0,1,0,0,2,1,2,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,2,1,2,0,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,1,1,2,0,0,1,1,1,2,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,2,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,0,1,0,1,2,0,2,1,0,1,1,1,2,2,0,1,1,0,0,2,2,1,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,1,2,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,2,1,0,0,2,0,0,1,0,0,1,2,0,0,1,0,0,1,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,1,1,0,1,1,0,0,0,0,2,0,0,0,2,0,1,0,0,1,0,2,0,2,1,1,0,0,0,0,2,0,1,1,1,2,1,0,0,1,0,0,0,1,0,1,2,1,1,1,2,1,0,0,1,1,0,1,1,0,0,1,0,1,0,2,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,2,0,0,2,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,2,1,0,1,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,2,1,0,1,0,0,1,0,1,1,1,1,2,0,2,1,0,0,1,2,1,0,0,0,0,0,2,1,0,0,0,0,1,0,1,0,0,0,0,2,0,1,0,0,0,2,1,0,0,0,1,1,2,1,0,1,0,0,0,1,0,1,2,1,0,1,1,1,0,1,0,0,0,1,2,0,0,1,2,0,0,0,2,0,0,2,0,0,1,0,0,1,0,1,2,0,0,0,0,0,1,1,0,2,1,0,1,0,1,1,1,2,0,2,2,0,0,0,1,2,0,1,0,1,1,0,2,0,2,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,1,1,0,2,0,1,1,0,1,0,0,0,2,2,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,2,1,0,0,1,0,0,0,1,0,0,1,1,1,2,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,2,0,0,2,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0 0,0,1,0,2,0,0,0,0,0,0,0,2,0,0,1,1,1,0,1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,2,0,0,1,1,1,0,2,0,0,0,0,0,2,2,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,1,2,0,2,2,0,0,1,0,0,0,0,0,1,2,0,0,1,0,2,0,1,0,0,0,2,1,0,0,0,0,0,2,0,1,1,2,1,0,0,2,1,0,0,0,1,1,0,2,1,2,1,1,1,0,0,0,0,0,2,0,1,1,0,1,1,0,1,0,2,0,2,0,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,2,1,1,0,0,1,0,1,1,1,1,0,0,0,2,1,0,0,0,0,0,2,1,0,0,0,0,0,1,0,0,0,0,1,2,1,2,0,0,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,2,1,1,1,0,0,0,1,0,2,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,1,2,0,0,1,0,1,0,1,1,0,0,1,1,0,2,0,1,0,0,1,0,0,1,0,1,0,2,0,0,1,0,0,0,0,0,2,1,0,1,1,1,2,1,0,1,0,1,0,0,0,1,0,2,0,1,0,0,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0,2,1,1,0,1,1,0,1,2,1,0,0,0,1,1,1,0,0,0,0,1,1,1,1,1,2,1,1,0,1,0,2,0,1,1,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,1,2,1,0,0,0,0,0,2,1,1,2,0,0,0,2,0,1,0,1,0,0,0,1,2,1,2,0,1,0,1,0,2,1,1,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,1,1,1,2,2,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,2,1,0,0,1,0,0,0,1,0,1,0,1,1,1,1,0,1,0,1,0,1,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,2,1,0,2,0,0,1,1,2,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,2,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,1,1,1,0,0,0,1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,2,0,1,2,1,1,2,1,0,0,0,1,0,2,0,1,1,2,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,1,1,2,0,0,0,0,0,0,2,0,0,2,0,0,0,1,0,1,1,1,0,2,1,0,0,0,0,2,1,0,2,0,1,0,0,0,0,1,1,0,0,2,0,2,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,2,0,1,0,0,1,0,1,2,0,0,0,0,1,0,1,0,1,0,0,2,0,2,1,1,0,0,0,0,0,1,2,2,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,1,0,2,1,0,0,0,0,0,1,0,0,2,1,0,0,0,2,0,0,0,0,0,2,0,0,2,0,1,1,0,0,0,0,0,0,0,1,2,1,0,1,2,0,1,0,1,1,0,0,1,0,1,1,1,1,2,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,2,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0 1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0,2,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,1,0,2,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,2,0,0,1,1,1,0,1,0,0,2,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,2,0,2,1,0,0,1,1,0,1,1,0,1,0,1,1,0,1,1,1,0,1,0,1,2,1,0,1,0,1,0,0,1,2,0,2,1,0,0,0,0,1,1,0,1,1,0,2,1,0,0,1,1,1,1,0,1,2,2,0,2,0,0,0,1,0,1,0,2,0,0,0,0,1,0,1,1,1,0,1,1,1,0,1,1,2,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,2,0,0,0,0,1,0,1,1,2,1,1,0,1,0,0,2,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,2,0,1,1,1,0,0,1,1,1,0,2,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,0,1,2,1,0,2,1,1,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,1,1,0,2,1,1,0,1,1,0,0,1,0,0,0,1,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,1,0,0,0,2,0,1,1,2,0,0,1,0,1,0,0,2,2,1,0,2,0,2,0,1,1,1,2,0,1,0,0,0,0,0,1,0,0,2,0,0,1,0,1,0,0,0,0,1,0,1,1,1,0,0,1,1,2,1,0,0,0,2,1,0,1,0,2,1,0,1,1,0,0,0,1,2,0,0,1,1,1,2,1,0,1,1,0,0,0,1,2,1,2,0,0,0,1,0,1,0,0,1,0,2,0,1,1,0,0,0,1,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,1,0,1,0,0,1,0,1,1,1,0,2,0,0,1,0,1,0,0,0,0,0,2,0,1,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,2,0,0,2,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,2,0,0,1,0,1,1,1,0,1,1,0,1,0,0,1,2,1,0,0,0,2,1,0,1,1,2,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,1,2,1,0,1,2,1,1,0,2,0,0,1,0,1,0,0,0,0,0,1,0,2,0,2,0,1,1,0,1,0,0,2,1,2,0,1,0,2,0,1,0,1,0,0,1,0,1,2,0,2,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,2,0,0,2,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,2,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,1,2,0,1,1,1,0,0,0,2,0,0,0,1,0,0,1,0,1,1,2,0,0,2,1,1,0,1,1,0,0,1,2,1,0,2,0,0,1,2,1,1,0,0,0,1,1,0,0,0,1,1,0,0,2,0,0,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,2,0,2,0,0,0,0,1,0,0,0,0,1,0,2,0,1,1,1,0,0,2,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,2,0,0,0,0,1,1,1,1,1,0,0,0,1,1,0,2,0,0,0,1,1,0,0,0,0,0,2,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,0,2,0,0,2,0,1,1,0,1,0,1,1,1,1,0,1,0,1,0,1,1,1,2,0,0,0,0,0,1,1,0,0,0 0,0,0,1,0,0,0,0,1,1,1,2,0,1,1,1,0,0,0,0,0,1,1,1,2,1,1,0,0,0,0,0,2,0,2,1,0,1,0,0,0,2,0,2,1,0,0,1,0,1,2,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,2,0,2,1,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,1,1,2,0,0,1,2,2,0,0,2,0,1,0,0,0,2,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,0,1,1,1,2,1,2,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,2,0,1,1,0,2,1,0,1,0,1,0,0,1,0,0,0,1,1,2,2,1,0,2,0,1,1,1,0,1,1,0,0,0,1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,2,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,2,0,1,0,1,1,0,1,0,0,1,1,2,2,0,1,1,0,0,2,0,0,0,0,1,2,1,1,0,1,0,0,0,0,2,0,0,0,0,2,1,2,0,0,0,1,1,1,1,1,0,1,0,2,0,0,0,2,1,1,1,0,0,0,1,0,0,1,0,1,2,0,1,1,0,0,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,2,1,0,0,0,1,2,1,0,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,2,1,1,2,1,0,0,0,1,0,0,2,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,2,1,0,2,1,0,0,0,0,0,2,0,1,0,2,1,2,0,0,0,1,0,0,2,0,1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,1,2,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,2,2,1,0,2,1,2,1,0,0,1,1,0,1,1,0,0,0,1,2,0,0,2,1,1,0,0,1,0,1,0,0,1,0,0,1,2,0,0,1,0,1,0,0,2,0,1,2,1,0,1,0,1,1,1,1,1,2,1,0,0,1,0,1,0,0,1,1,0,1,1,0,1,0,1,0,1,1,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,1,1,0,1,1,0,0,0,0,0,2,0,0,2,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,0,1,2,2,1,2,1,1,2,1,0,0,1,2,1,1,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,1,1,1,2,0,1,0,0,0,1,1,0,0,0,2,0,0,1,0,1,0,0,0,2,0,0,0,1,1,0,0,1,0,2,1,0,1,1,0,0,1,0,0,0,1,1,2,2,0,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,2,0,0,1,0,1,2,1,1,0,1,1,0,0,0,2,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,2,0,0,1,2,1,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,1,1,1,0,2,1,0,0,1,1,0,0,1,0,0,1,2,0,0,0,2,1,0,2,1,0,0,0,0,2,1,0,0,1,1,2,2,1,1,1,0,0,2,1,1,0,1,2,0,0,0,1,0,0,0,0,1,1,0,2,1,1,0,0,1,0,1,1,0,0,2,0,2,0,0,1,1,1,1,0,1,1,1,1,1,0,0,0,1,1,0,2,0,0,0,0,1,0,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,2,1,1,0,1,0,0,0,0,2,0,0,0,0 0,0,0,2,0,0,1,1,0,1,1,1,0,2,0,0,1,1,0,0,0,1,1,0,1,2,0,2,0,0,1,1,0,0,0,0,0,1,1,0,0,1,1,2,1,1,1,2,1,2,2,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0,2,2,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,2,1,0,1,1,2,2,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,2,1,0,1,0,0,0,0,2,0,1,0,1,0,0,0,0,0,2,0,0,2,0,0,0,0,1,2,0,0,0,1,0,0,0,2,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,2,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,2,0,1,1,0,0,0,0,0,0,1,2,0,0,2,1,2,2,1,0,0,1,1,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,2,0,0,0,1,0,0,1,1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,2,0,0,0,0,0,0,1,1,1,1,0,0,0,1,1,2,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,1,2,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,2,0,2,0,0,0,0,2,1,1,0,1,0,0,1,1,2,1,1,0,1,0,0,2,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,2,1,0,0,1,1,1,0,1,0,0,0,1,2,0,0,0,2,0,1,0,1,0,0,2,0,1,0,0,0,1,0,1,2,0,1,0,0,1,2,0,1,0,1,0,2,0,0,2,0,0,0,0,0,2,0,2,0,0,1,0,2,1,1,0,0,0,1,2,0,2,0,0,0,0,0,1,0,1,1,0,0,0,0,0,2,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,2,0,1,0,0,1,1,0,0,1,0,0,0,1,0,1,2,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,2,0,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,1,2,2,1,0,0,0,1,0,0,0,1,0,1,0,2,2,0,1,0,0,1,0,2,0,2,0,2,1,1,1,1,1,1,0,2,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,2,0,1,0,1,0,0,0,1,2,1,0,1,1,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,2,2,0,0,2,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,2,0,0,1,2,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,1,1,2,2,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,2,1,0,0,0,0,2,0,1,1,1,1,0,1,0,1,0,1,1,2,1,0,1,0,1,0,0,0,0,0,1,1,2,0,0,0,2,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,1,1,1,0,2,0,2,1,0,0,0,1,1,2,1,2,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,2,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,2,0,0,2,0,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,2,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,2,0,1,0,1,1,1,1,2,0,0,1,1,1,0,0,2,0,0,0,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,2,1,0,1,1,0,0,0,0,1,1,0,1,2,0,0,0,1,0,0,0,2,1,1,0,1,0,0,2,0,0,1,0,0,1,1,1,0,2,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0 0,1,1,0,1,0,1,0,1,1,1,0,0,1,1,0,1,1,1,0,0,0,2,1,1,1,1,2,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,1,2,1,0,1,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,2,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,2,1,1,0,1,0,1,2,1,0,0,0,1,0,2,0,0,1,1,0,0,0,0,0,2,0,0,1,0,1,0,1,0,1,0,1,0,2,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,2,0,1,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,1,0,0,0,1,0,0,0,1,2,1,1,0,1,0,0,1,1,0,2,0,0,1,0,1,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,1,1,0,0,2,0,1,0,2,0,1,0,2,1,0,1,0,0,0,0,1,0,1,0,0,0,0,2,1,0,0,0,1,0,1,1,1,1,0,0,1,2,1,1,0,2,1,0,0,2,0,1,2,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,1,1,2,0,0,1,0,0,0,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,2,0,2,2,1,2,2,1,0,0,1,0,1,0,0,1,1,0,1,0,2,1,1,0,1,0,0,0,0,1,0,0,2,1,1,0,1,0,1,0,2,1,2,1,1,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,1,1,2,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,2,0,0,2,2,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,2,0,0,2,0,0,0,0,0,0,1,1,1,0,0,0,2,1,0,1,1,1,0,1,2,0,0,2,0,1,1,0,2,0,1,2,0,2,0,2,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,2,2,0,1,0,0,1,0,0,2,1,2,0,0,0,1,0,1,0,1,1,2,1,0,2,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,2,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,2,1,0,0,1,1,1,1,1,1,1,0,0,2,0,0,1,0,2,0,2,0,0,0,0,0,0,0,1,0,1,1,2,0,2,1,0,0,1,2,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,2,0,0,0,0,0,0,1,1,2,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0,2,1,0,1,0,1,2,1,2,0,0,0,0,0,2,1,0,1,0,1,2,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,2,2,1,2,1,0,2,0,0,1,1,1,2,2,1,1,1,2,1,0,0,1,0,0,0,0,0,0,2,0,0,1,1,0,0,0,1,0,1,2,1,0,0,2,0,1,0,1,1,2,1,0,1,0,0,1,0,0,2,0,0,1,0,0,2,1,0,2,2,0,0,2,2,1,0,0,2,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,1,0,1,0,1,1,0,2,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,2,1,1,2,0,0,0,1,0,0,1,1,2,1,0,0,0,0,0,1,0,2,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,1,1,1,1,0 0,0,1,2,0,2,1,1,1,0,2,0,1,1,0,0,0,1,2,0,0,1,1,0,2,0,0,1,1,0,1,0,1,0,0,0,2,1,0,0,1,1,1,2,0,1,1,2,0,2,2,0,0,0,0,0,1,0,2,1,0,0,0,0,0,0,1,0,0,0,0,1,1,2,0,0,0,1,0,1,0,0,0,1,0,1,2,0,1,1,2,1,0,0,0,1,0,0,1,0,1,1,0,1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,2,0,0,1,0,1,0,0,1,1,2,0,1,0,0,2,1,1,2,1,1,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,2,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,2,0,1,1,1,1,1,1,1,1,1,1,0,1,0,1,2,1,0,0,0,1,0,0,0,1,1,1,1,1,0,0,1,1,2,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,1,1,0,1,0,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,2,1,2,2,0,0,0,0,0,1,1,1,0,1,1,0,0,1,0,2,0,1,0,0,0,0,0,0,0,1,1,0,2,1,1,0,0,1,0,0,0,0,2,1,1,1,1,0,0,2,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,2,0,0,2,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,1,1,1,0,0,1,2,2,2,1,0,1,0,1,2,0,2,0,1,1,1,0,2,0,0,0,1,1,0,0,1,0,1,2,0,1,0,1,1,1,0,0,0,0,1,0,0,0,1,2,2,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,2,0,0,1,0,2,0,0,0,0,2,0,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,2,0,2,0,1,0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,2,0,2,0,1,0,1,0,2,1,0,1,0,0,0,1,2,1,2,0,0,0,1,0,1,0,1,1,0,0,0,2,0,0,0,1,0,0,0,1,0,2,2,2,0,0,2,0,1,0,0,1,2,1,1,1,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,2,0,0,1,0,1,1,2,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,1,1,0,2,1,0,0,1,0,1,1,2,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,2,1,1,0,1,0,2,0,0,0,1,0,1,0,1,1,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,1,1,1,1,0,0,0,0,1,0,2,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,1,1,1,0,2,0,1,0,1,1,0,2,1,0,0,0,0,1,2,1,1,0,0,1,2,1,0,1,1,0,0,0,1,1,2,1,0,0,0,0,2,1,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,1,2,1,0,1,1,0,1,1,0,2,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,2,0,0,0,0,1,2,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,2,0,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,1,1,0 1,0,0,1,2,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,2,0,1,0,0,0,2,0,0,0,1,0,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,2,1,1,0,0,1,0,2,1,0,1,2,2,0,0,0,0,0,0,1,0,0,0,1,0,2,1,0,0,1,1,1,1,1,0,0,0,1,1,1,2,0,1,0,1,0,0,0,1,0,1,0,0,2,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,1,1,2,0,0,1,0,1,1,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,1,0,1,0,0,1,2,2,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,2,0,1,1,1,0,1,2,1,0,1,1,0,2,0,1,0,0,0,0,0,0,0,2,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,2,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,2,0,1,1,1,0,0,0,0,1,2,0,0,2,0,0,2,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,2,1,0,0,2,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,2,1,0,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,2,0,0,2,0,1,0,0,0,0,0,1,2,0,1,0,0,2,1,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,1,1,1,2,0,0,0,0,0,0,0,1,0,1,1,2,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,1,1,1,1,0,1,0,1,2,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,0,2,0,0,0,0,1,0,1,1,1,0,0,0,1,1,1,0,2,1,0,2,0,0,2,2,1,2,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,2,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,2,1,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,2,0,0,0,0,0,1,1,1,0,0,2,2,0,1,1,2,0,0,1,1,1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,2,0,2,0,1,0,0,0,0,1,2,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,2,0,0,0,1,0,1,1,2,1,0,1,0,1,0,1,0,1,0,2,0,1,0,0,1,1,0,1,2,1,0,0,0,0,1,2,1,0,0,1,0,2,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,1,2,1,2,1,0,1,0,2,0,0,0,1,2,0,0,2,0,0,0,1,1,0,0,0,0,1,0,0,0,2,1,0,1,0,0,0,2,0,0,0,0,0,0,1,2,0,1,2,1,1,0,0,0,1,1,0,1,2,0,0,0,2,0,0,1,0,0,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,0,2,0,0,0,1,0,0,2,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,2,1,1,0,0,0,0,0,1,1,0,1,1,2,0,0,0,0,1,0,2,0,2,0,0,1,1,0,1,0,0,1,0,1,1,1,1,0 1,0,1,2,0,0,1,1,0,0,0,1,0,1,2,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,2,0,1,0,0,0,0,1,1,0,1,0,2,0,0,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,2,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,1,1,0,0,1,0,0,2,0,1,1,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,2,0,0,0,0,0,0,2,1,1,0,1,2,0,1,0,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,2,0,1,1,0,0,0,2,0,0,2,1,0,0,0,1,0,0,0,1,1,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,2,1,0,0,0,1,1,2,0,0,1,1,1,2,1,0,0,0,2,0,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,1,0,1,0,0,2,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,2,0,0,1,0,0,0,1,0,1,1,1,0,1,1,2,2,0,1,0,0,0,0,1,1,1,2,0,1,1,0,2,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,2,2,2,0,0,1,1,1,0,2,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0,1,1,1,2,1,1,1,0,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,2,1,0,0,0,0,0,0,1,0,2,0,1,0,1,2,1,0,0,1,0,0,0,2,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,2,0,0,0,1,1,0,2,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,1,2,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,2,0,1,1,0,0,2,0,0,1,1,1,1,1,0,2,1,1,1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,1,1,0,2,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,2,1,0,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,2,0,1,0,2,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,2,1,1,0,0,1,1,0,0,0,0,1,0,0,1,0,0,1,1,0,1,0,2,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,2,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0,1,2,1,0,1,0,1,0,0,1,0,0,2,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,2,0,0,2,0,0,0,0,0,2,1,0,0,0,1,2,2,0,2,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,1,0,1,0,0,2,1,1,1,0,0,1,0,0,1,2,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,2,0,0,0,1,0,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0 1,0,0,0,0,0,0,0,1,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,2,0,2,0,0,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,2,0,0,0,0,0,0,0,2,0,1,0,0,1,1,1,0,0,1,0,2,0,1,0,0,1,0,2,0,0,0,0,0,0,0,0,2,0,1,0,0,1,0,2,0,1,1,0,2,0,1,0,0,0,0,1,1,0,0,0,1,0,1,2,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,2,1,1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,0,2,0,1,1,1,0,2,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,1,1,1,1,0,0,1,2,1,0,0,0,0,0,2,2,1,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,2,1,0,0,0,1,0,1,1,1,1,0,0,1,1,1,1,1,0,2,0,0,2,1,0,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,1,1,1,1,0,0,0,2,0,1,1,2,0,1,0,0,1,0,1,2,2,0,0,0,1,0,0,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,1,2,1,0,1,0,0,2,0,0,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,2,1,2,1,0,2,0,1,1,0,1,2,0,1,0,1,2,1,0,2,0,0,0,1,0,0,1,0,1,2,2,0,0,0,0,1,2,1,1,0,0,1,0,0,0,2,1,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,1,2,0,1,0,0,0,1,0,0,0,1,0,2,0,1,1,0,0,2,0,0,2,0,0,0,0,1,1,0,0,0,0,0,2,0,0,1,2,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,2,1,0,1,0,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,2,0,1,0,2,0,0,0,1,1,2,0,1,1,0,1,2,0,1,1,1,0,1,0,0,1,1,1,0,1,0,1,0,2,0,1,0,2,0,1,0,0,0,2,0,1,0,1,1,2,0,0,1,2,0,0,1,1,0,1,1,2,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,1,1,0,2,2,0,1,0,0,0,2,0,1,1,1,1,1,2,0,1,0,1,1,0,0,0,0,2,0,1,0,1,0,0,2,1,0,0,0,0,1,1,0,2,0,1,1,1,0,1,0,2,1,0,0,0,1,0,1,1,1,2,0,1,0,2,2,0,0,0,0,1,0,0,0,2,1,0,0,1,0,2,0,2,0,2,0,0,0,2,0,0,2,0,1,0,2,1,2,0,0,1,2,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,2,2,0,0,0,1,1,1,1,0,0,1,0,2,2,2,0,0,1,0,1,0,1,1,1,1,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,2,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,1,1,1,1,1,0,2,0,0,2,0,0,0,0,1,0,0,0,0,1,0,1,0,2,2,1,0,1,0,0,1,0,0,2,1,0,0,0,1,1,0,1,1,2,1,0,0,1,2,0,0,0,1,1,0,0,0,0,1,1,0,0,0 0,0,1,2,1,0,1,1,1,0,1,2,1,2,1,1,0,2,0,0,0,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,1,1,0,1,1,0,2,1,1,1,0,2,0,1,2,0,0,0,1,0,0,1,2,1,0,0,0,1,1,1,0,1,0,0,2,1,1,2,1,1,0,0,0,0,1,0,1,1,1,1,1,0,0,0,1,1,0,1,1,1,1,0,0,0,0,2,1,2,1,1,0,2,0,2,2,0,0,1,1,1,0,2,2,2,0,1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,2,0,2,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,1,1,1,0,0,2,0,0,0,1,2,0,1,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,2,1,1,0,1,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,1,1,0,0,1,0,0,2,0,0,2,0,0,1,0,0,0,0,0,0,1,2,2,0,1,1,0,2,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,2,0,2,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,2,1,2,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,1,2,0,1,0,2,1,1,2,0,0,0,1,0,0,0,0,1,2,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,1,1,1,1,0,1,0,0,0,0,1,2,0,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,2,1,0,1,0,0,1,0,0,0,1,1,1,2,1,0,1,0,2,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,1,2,2,0,0,0,2,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0,0,1,1,1,2,0,0,0,0,1,0,0,0,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0,2,0,0,2,0,1,1,2,1,1,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,1,1,0,0,1,1,0,0,2,0,0,1,0,0,0,2,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,2,1,2,0,1,0,0,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,1,1,0,0,2,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,2,1,0,1,0,0,0,1,1,1,0,2,0,0,0,0,0,2,0,1,1,0,0,0,0,1,1,2,0,0,0,1,0,1,0,1,0,0,0,0,2,2,2,1,0,0,1,0,0,0,1,2,2,0,1,0,1,0,0,1,2,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,2,2,1,1,1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,1,2,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,1,1,0,2,1,0,0,1,0,0,0,1,1,0,0,2,1,0,0,0,1,0,0,0,1,2,0,0,1,0,1,1,0,0,0,1,1,0,1,1,2,0,0,0,1,1,0,0,1,0,2,0,0,0,1,0,0,1,1,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,2,1,1,1,0,0,0,0,1,0,0,1,0,0,2,1,1,1,1,1,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,1,2,1,0,2,1,2,2,1,0,0,0,0,0,1,1,0,0,1,0,0,2,0,1,1,1,1,0 0,0,1,1,0,0,0,1,0,0,1,1,0,2,2,0,0,1,0,0,1,1,0,0,1,1,2,2,0,0,1,0,0,0,0,0,1,1,2,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,2,1,1,1,0,0,0,0,0,1,1,1,2,0,2,0,0,0,0,0,0,1,0,0,1,0,0,1,0,2,0,1,1,0,0,0,0,1,0,0,0,2,1,1,1,2,0,1,0,0,0,0,0,1,0,1,1,1,2,1,0,0,1,1,1,1,1,0,1,2,1,0,1,2,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,2,2,1,0,0,1,0,0,0,0,0,0,1,1,1,0,2,0,0,0,0,1,1,1,1,0,0,1,2,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,1,1,1,2,1,0,0,1,1,1,0,0,1,1,1,0,1,0,2,0,0,0,1,0,0,0,2,0,0,1,0,2,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,2,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,2,1,1,0,1,0,0,0,2,1,1,0,0,1,1,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,1,1,0,1,1,0,1,1,1,1,2,0,0,0,0,0,0,0,0,1,0,0,0,1,2,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,2,0,0,0,1,0,0,0,2,1,0,1,0,2,1,0,0,0,0,1,0,0,0,2,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0,2,1,1,2,0,0,2,0,1,0,1,1,0,1,1,1,0,2,0,0,1,1,0,0,1,0,0,2,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,1,0,0,1,2,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,2,1,0,0,2,1,0,0,0,0,2,0,2,0,0,1,0,1,0,2,2,0,0,0,0,1,0,2,1,1,0,0,0,1,2,0,1,0,0,1,0,1,0,1,1,2,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,2,0,0,0,1,0,0,0,2,1,1,1,2,2,1,0,0,1,0,0,1,0,0,1,2,2,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,2,1,0,2,1,0,2,0,0,0,1,0,0,1,1,1,1,0,1,1,0,1,2,1,1,1,0,1,1,1,0,1,0,1,0,0,1,1,2,0,0,0,1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0,0,2,0,1,2,0,0,0,1,1,1,1,1,2,1,0,0,0,1,0,0,2,0,1,0,1,1,2,1,0,0,0,0,0,0,1,2,0,2,0,1,0,1,1,1,0,0,0,0,1,0,1,1,1,1,2,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,2,0,0,1,1,0,0,1,1,1,0,1,0,1,0,2,1,0,1,0,0,1,1,0,2,1,0,0,1,2,0,1,0,1,0,0,0,1,1,1,2,0,0,0,0,0,2,0,0,0,0 1,0,1,0,0,0,0,1,0,2,1,1,0,1,1,1,0,2,0,0,0,0,1,0,1,0,2,2,0,0,1,1,0,0,0,0,2,0,1,0,0,1,0,2,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,2,1,0,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,2,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,2,2,0,0,2,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,0,2,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,2,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,2,0,0,1,1,2,0,1,0,2,0,1,2,0,0,0,2,1,2,0,1,0,1,1,1,0,0,1,1,0,2,0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,1,1,1,1,2,1,1,0,2,1,1,1,0,0,0,1,0,1,0,0,0,0,1,0,2,1,0,1,0,2,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,1,0,2,0,1,1,0,2,0,2,0,0,1,0,0,0,0,1,2,2,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,1,1,2,0,0,1,1,2,2,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,2,0,0,0,1,0,1,1,0,1,1,2,0,2,1,0,0,1,1,1,1,0,1,0,2,2,1,1,0,0,2,0,1,0,0,0,2,0,0,2,1,1,0,0,0,2,2,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,2,0,1,0,0,0,1,0,0,1,0,0,1,0,0,2,1,1,0,1,1,0,1,0,0,0,2,0,1,0,0,2,2,0,0,0,0,0,2,0,0,1,2,1,0,1,0,2,0,0,2,1,1,0,0,0,0,0,2,1,0,0,0,0,1,0,1,2,2,1,0,1,0,2,0,0,0,1,2,1,0,2,0,1,0,1,1,1,2,0,0,1,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,2,0,1,0,0,0,1,1,0,1,2,0,1,0,0,0,1,0,2,1,2,0,2,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,2,0,2,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,1,0,2,2,0,2,1,0,2,0,1,0,2,0,1,1,1,0,1,0,2,0,0,1,1,1,0,1,0,1,0,2,1,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,2,0,2,1,1,2,0,1,2,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,2,0,1,1,0,0,1,0,0,1,0,2,0,0,0,1,0,0,1,1,0,2,2,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,2,0,0,0,1,0,0,0,1,2,0,0,1,0,0,0,0,0,0,1,0,2,1,2,0,1,1,0,0,0,0,1,0,1,1,0,2,1,2,1,0,0,1,1,1,0,0,0,0,2,0,2,0,1,1,0,0,2,0,1,0,1,1,0,1,0,1,0,1,1,0,2,0,2,1,2,0,0,2,0,0,0,0,1,1,1,2,1,1,1,0,2,0,1,1,1,0,0,0,0,2,2,1,0,1,1,0,0,0,0,0,0,1,0,1,1,1,2,0,1,1,0,1,1,0,2,2,1,1,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,1,0,2,0,0,0,0,0,0,1,0,1,1,1,1,1,1,0,1,1,1,0,1,2,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,1,2,0,0 0,0,1,0,1,0,0,2,0,1,0,0,0,1,1,1,0,0,0,0,0,1,1,0,1,1,1,1,0,0,0,0,2,1,0,0,0,0,0,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,2,0,0,0,2,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,2,1,0,0,0,0,1,2,1,0,1,1,1,0,1,0,2,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,1,1,2,0,0,0,0,1,0,2,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,2,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,2,1,2,2,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,2,0,0,0,0,0,1,0,1,0,0,0,1,0,0,2,1,1,1,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,1,2,2,1,0,0,0,0,1,2,0,1,0,1,0,0,1,2,0,2,0,0,2,2,2,0,0,0,0,0,0,0,0,0,2,0,2,0,0,1,0,1,1,0,0,0,0,2,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,2,0,2,1,0,0,1,1,1,0,1,0,1,1,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,2,1,1,0,2,1,1,0,0,2,0,1,1,0,0,1,2,0,1,0,0,0,1,0,0,0,1,0,0,1,1,1,1,2,0,0,1,1,0,0,2,1,1,1,0,0,1,0,1,0,1,0,1,1,0,1,1,0,2,0,0,0,0,0,0,0,0,2,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,1,0,1,2,0,2,0,0,1,0,0,2,1,0,1,0,0,1,2,0,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,2,1,1,0,1,1,1,0,2,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,1,1,0,1,0,0,0,0,2,0,1,2,1,0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,1,1,1,1,2,0,1,0,0,0,0,0,1,1,0,1,1,1,0,1,2,0,0,1,0,1,0,0,0,1,0,1,0,0,0,2,0,0,0,2,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,0,2,1,0,0,0,1,0,1,0,2,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0,2,1,0,0,0,0,0,1,1,0,1,0,0,1,2,1,0,0,1,0,1,1,0,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,0,2,1,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,0,0,0,1,0,0,1,0,1,1,1,0,0,0,2,0,0,2,0,1,2,1,1,1,2,1,0,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,1,0,0,2,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,2,0,1,2,0,0,0,1,2,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,1,0,2,2,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0 0,0,0,2,1,1,0,1,1,1,2,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,1,2,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,2,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,0,1,0,1,0,0,1,1,0,1,0,2,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,2,1,0,0,0,1,0,0,2,0,0,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,1,1,0,1,1,0,1,0,1,0,2,1,0,0,0,0,0,1,2,1,0,0,2,0,2,0,1,0,1,1,0,1,0,1,0,2,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,2,0,0,1,0,2,1,2,0,1,1,0,0,1,1,1,1,0,0,1,2,0,1,1,0,0,0,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,2,1,0,1,0,0,2,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,2,1,0,0,0,2,1,1,0,2,0,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,2,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,2,2,1,0,0,0,0,2,0,2,0,1,0,0,0,0,0,1,0,0,1,0,1,2,0,0,1,0,0,1,0,1,2,0,0,1,0,1,1,0,0,2,0,0,0,0,2,0,1,0,0,1,0,0,1,0,1,2,0,0,2,0,1,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,2,0,0,0,2,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,2,0,0,0,0,0,0,1,2,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,2,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,1,0,2,1,1,0,0,0,0,1,0,0,0,1,2,0,0,0,1,2,1,0,1,1,1,2,1,0,0,0,2,1,2,1,1,1,1,1,0,1,2,0,0,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,2,0,1,0,0,1,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,1,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,2,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0,2,2,0,0,1,0,0,2,0,1,1,0,0,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,1,1,1,2,1,2,0,0,1,0,0,0,0,2,1,1,1,0,1,2,1,1,0,0,0,0,0,0,0,2,0,1,0,0,2,1,1,0,2,0,0,0,1,1,0,0,1,0,0,1,0,0,2,0,0,2,1,1,0,0,0,1,2,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,2,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,2,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,1,1,2,0,2,0,1,0,1,0,1,0,2,0,0,1,0,0,2,0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,2,1,1,0 0,0,1,1,0,1,1,1,1,1,1,0,1,1,2,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,2,0,1,0,0,0,0,1,1,0,2,0,0,2,0,1,1,2,0,2,1,0,0,1,1,0,0,1,2,2,0,0,0,0,0,2,0,2,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,1,1,1,1,0,2,0,2,0,0,0,2,0,0,0,0,1,2,0,0,1,1,0,0,2,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,2,0,2,0,1,0,0,1,2,1,1,0,1,1,1,0,0,0,1,0,2,2,0,1,0,0,1,2,0,0,0,1,0,0,0,1,0,0,1,0,0,2,1,0,0,0,2,0,0,1,0,0,2,1,2,1,0,0,0,1,0,1,1,1,1,2,1,0,2,0,0,0,1,2,1,0,0,1,0,1,1,0,0,1,0,2,0,1,0,0,2,1,0,2,1,0,1,0,0,0,2,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,2,0,0,1,0,0,0,0,1,2,0,0,1,0,1,1,2,1,1,0,1,1,2,0,0,2,1,1,1,0,0,0,0,1,0,1,2,0,0,0,1,0,0,2,1,0,0,0,1,2,1,0,2,1,0,0,2,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,1,1,1,2,0,0,0,0,0,2,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,2,1,0,0,0,0,1,1,0,0,0,0,1,1,1,2,1,1,1,1,1,1,0,2,1,1,1,0,1,1,1,1,2,0,0,0,1,1,0,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,2,0,2,0,0,1,0,0,0,1,0,0,2,1,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,2,0,1,0,1,0,0,1,2,1,0,1,1,2,1,0,1,2,1,0,1,0,0,0,0,1,1,2,1,0,0,0,0,2,1,0,1,0,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,1,0,1,1,1,1,2,0,2,1,0,1,2,0,1,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0,1,0,1,0,2,0,0,0,1,0,0,0,1,1,1,0,0,1,1,1,0,1,2,0,0,0,0,0,0,1,1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,1,2,1,0,1,0,2,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,2,1,1,0,1,0,0,0,0,1,1,0,0,1,2,0,0,0,2,0,2,1,2,1,0,1,0,1,0,0,0,1,2,1,1,1,0,2,1,0,0,0,1,0,0,0,1,0,2,1,0,2,0,0,0,2,0,0,0,1,0,0,0,0,1,1,0,0,2,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,1,1,0,0,1,1,2,2,1,0,2,0,2,1,1,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,2,0,0,0,1,0,1,1,0,0,0,0,0,1,1,2,0,0,0,2,1,0,0,0,1,2,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,1,1,0,0,0,1,1,0,0,0,0,1,1,2,1,0,2,0,0,1,0,1,2,0,1,0,2,0,1,0,0,2,0,1,0,0,1,1,1,2,0,0,0,0,1,2,0,0,0 1,0,1,0,0,1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,2,1,1,1,1,1,0,2,0,1,1,1,0,0,0,1,1,1,1,0,0,1,0,2,2,0,0,1,2,0,0,1,0,1,1,0,1,0,1,0,0,0,2,1,0,0,0,0,2,0,2,2,0,1,1,0,1,0,0,0,2,1,0,1,0,1,1,1,1,0,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,2,0,0,0,1,0,2,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,2,0,0,0,0,2,0,1,1,0,0,0,1,0,1,0,2,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,2,1,0,1,2,1,0,1,1,1,0,0,1,0,0,0,2,1,1,0,0,1,0,1,1,0,0,0,1,0,2,1,0,0,0,1,0,1,0,0,0,0,1,2,0,0,0,0,0,1,1,0,0,0,1,1,2,0,0,0,2,0,0,2,2,1,0,0,0,1,0,1,0,2,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,1,2,1,0,0,0,2,0,2,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,2,0,1,1,1,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,2,0,0,0,0,1,1,2,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,2,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0,1,2,2,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,2,0,0,0,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,2,0,0,0,0,1,1,2,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,2,0,1,1,2,0,0,0,1,1,0,1,2,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,1,1,0,0,1,2,1,1,0,2,2,1,0,0,0,0,0,1,0,2,2,0,1,0,0,2,1,1,2,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,1,0,1,2,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,1,2,2,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,2,0,0,1,0,0,2,1,0,0,0,0,2,2,1,1,0,0,2,1,1,1,0,0,0,1,2,0,0,0,2,0,1,1,0,1,2,0,1,1,0,0,0,0,0,1,2,1,1,1,0,1,0,0,1,0,1,0,0,0,1,2,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,2,1,1,0,0,0,0,2,0,0,0,1,0,0,1,0,0,2,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,2,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,2,1,1,0,0,0,0,1,1,0,2,2,1,2,1,0,1,0,0,1,0,1,2,2,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,1,0,2,2,0,1,0,0,1,0,0,0,2,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,2,1,1,0,0,1,2,0,0,1,0,2,2,1,0,0,0,1,0,0,2,1,0,0,0,2,2,1,1,0,0,0,0,1,1,2,0,0,0,2,1,1,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,1,0,1,0,0,1,2,2,1,0,0,1,1,1,0,0,0,0,2,1,1,1,0 2,0,1,0,1,1,0,1,0,1,1,2,0,1,1,0,0,1,0,1,0,0,0,0,1,2,1,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,1,2,1,0,2,0,1,0,0,1,1,1,0,1,0,0,2,0,0,0,1,0,0,0,0,0,2,1,0,1,1,1,0,1,1,0,0,1,0,0,1,2,1,2,1,1,0,2,0,0,0,0,0,0,0,1,0,1,2,1,0,1,0,0,2,0,0,0,0,1,0,1,2,0,1,1,0,0,1,1,0,0,0,0,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,1,2,1,0,0,0,0,0,0,2,0,0,0,0,1,1,0,1,1,1,0,1,0,1,1,0,2,0,0,1,1,0,0,1,0,0,0,2,0,0,0,1,1,1,1,0,0,1,0,1,0,0,2,0,0,0,0,1,1,0,1,0,0,0,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,2,0,2,1,0,1,0,1,0,2,0,0,0,1,0,0,1,0,0,1,0,0,0,2,1,0,1,0,0,1,1,0,0,0,0,2,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,2,1,1,0,0,0,0,1,2,2,0,0,1,0,1,2,0,2,0,0,0,1,1,0,0,0,0,1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,1,1,1,0,0,2,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0,2,1,0,0,0,2,1,0,1,0,0,2,0,2,0,0,0,2,0,0,1,2,0,0,1,0,0,0,2,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,1,0,1,2,2,1,1,0,1,0,0,0,1,2,0,1,0,0,0,0,0,1,1,1,1,0,0,0,1,1,0,0,2,0,0,1,0,0,1,0,2,1,1,1,0,0,1,0,0,0,2,1,1,1,1,1,1,0,1,2,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0,1,1,0,1,2,0,1,1,0,2,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,1,1,1,0,2,0,0,0,1,0,2,0,0,0,0,1,0,2,0,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,2,0,0,0,0,1,1,1,1,0,1,1,1,0,1,0,2,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,1,1,0,0,0,1,1,0,0,0,2,0,0,0,1,0,2,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,2,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,2,1,0,1,0,1,0,2,1,0,0,2,2,0,1,1,0,0,0,1,1,1,1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,2,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,2,1,2,2,0,0,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,2,0,2,1,0,1,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,2,0,0,0,0,0,2,1,0,0,0,1,2,1,1,1,0,0,0,0,1,0,0,2,0,2,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,1,2,1,0,1,0,0,0,1,1,1,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,2,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0 1,0,1,2,0,0,0,0,0,1,2,0,1,2,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,2,2,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,1,2,0,0,0,1,1,0,2,0,0,1,0,0,1,1,0,1,0,2,0,1,0,0,1,0,0,0,2,1,0,0,1,0,0,0,0,2,2,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,2,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,2,1,2,2,0,0,0,1,2,0,0,0,0,0,1,0,2,0,2,0,1,0,0,0,1,2,0,2,0,1,0,1,0,0,2,1,0,1,0,0,1,0,0,0,0,2,0,0,0,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,2,0,1,0,0,0,0,1,1,0,1,1,2,1,0,0,0,1,0,0,1,1,0,0,1,0,1,2,1,1,0,1,0,0,1,0,0,0,1,0,2,0,0,0,0,1,0,2,1,0,0,2,0,0,0,0,1,0,0,1,0,1,1,2,0,0,0,0,1,0,0,0,0,2,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,2,0,1,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0,2,0,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,2,2,0,0,1,1,1,2,1,0,0,1,2,1,0,0,1,0,0,2,0,1,0,1,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,1,2,0,0,0,0,2,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,2,0,0,0,0,0,0,1,0,1,0,1,0,0,0,2,0,1,0,0,0,1,0,0,2,2,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,2,0,0,0,0,1,0,1,0,0,1,1,0,0,1,1,0,0,2,1,0,0,0,0,0,1,0,1,0,1,0,0,1,2,0,0,1,1,1,1,1,0,1,2,0,2,0,2,1,1,1,1,0,2,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,2,0,2,0,0,0,0,0,1,0,2,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,2,1,0,2,0,1,0,1,1,0,0,0,0,1,1,1,1,1,1,0,0,1,1,0,2,2,0,0,0,0,0,1,0,2,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,2,0,0,0,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,1,2,0,1,0,0,0,0,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,2,1,2,0,0,0,0,0,2,2,2,0,1,0,0,0,1,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0,2,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,2,0,0,0,2,1,0,1,0,0,2,1,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,1,0,1,2,0,0,0,2,0,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,2,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,2,0,0,1,0,0,0,1,0,2,0,0,1,0,1,0,1,0,0,0,2,1,0,0,0,0,0,0,0,2,1,0,1,0,0,0 0,0,1,2,0,0,0,1,1,1,0,1,1,0,1,2,0,0,0,0,0,1,0,0,1,1,0,2,1,2,1,0,0,1,1,0,1,1,1,0,2,2,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,2,0,1,0,2,0,1,1,1,0,2,1,0,0,0,2,0,2,0,1,1,0,0,0,2,1,0,0,0,0,1,1,0,0,2,0,1,0,0,1,0,0,1,1,1,0,2,0,0,2,2,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,2,1,1,2,0,2,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,2,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,1,2,0,0,0,0,0,2,0,0,0,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,2,0,0,0,1,0,1,0,0,1,1,0,0,2,2,0,0,0,0,0,0,1,1,0,0,1,1,1,1,2,0,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,0,1,2,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,2,0,0,1,0,0,0,1,0,1,0,1,0,1,0,2,0,2,0,0,0,0,0,1,0,1,2,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,2,1,0,1,0,0,2,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,1,0,0,2,0,0,0,1,1,0,2,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,2,1,2,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,2,0,1,1,1,0,0,0,2,0,0,2,2,0,0,1,0,1,1,0,0,1,0,1,1,2,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,1,0,2,0,1,0,1,1,0,1,1,0,2,0,0,0,2,0,2,1,0,1,1,0,0,0,1,0,1,1,0,0,2,1,0,0,0,1,0,0,1,1,1,1,0,2,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0,0,1,1,2,0,0,0,2,1,2,0,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,2,0,0,1,1,2,0,1,1,1,0,2,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,1,1,1,1,1,1,0,0,2,0,0,0,1,1,1,1,1,2,0,1,1,0,1,1,0,0,1,0,1,2,0,2,0,2,1,0,0,0,0,0,0,2,0,0,1,1,0,2,0,1,0,0,1,1,0,1,0,0,1,1,2,0,1,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,2,0,0,1,0,0,0,0,1,0,0,0,2,1,0,2,0,1,2,0,0,1,0,0,0,0,2,0,1,0,0,1,1,1,2,0,0,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,1,1,1,1,0,0,0,0,1,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,1,2,2,1,0,0,0,1,0,1,0,1,0,0,0,0,0,2,0,0,0,0 1,0,1,1,0,0,1,0,1,2,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,2,0,1,1,0,1,0,2,0,0,0,0,0,1,2,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,2,2,0,0,0,1,0,1,0,0,0,2,1,0,1,0,1,1,1,1,1,0,0,0,1,0,1,0,1,1,0,1,2,1,0,1,0,0,1,0,0,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,2,1,2,0,0,2,1,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0,1,0,2,1,1,2,0,0,0,0,0,0,1,0,1,2,1,1,1,2,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,2,0,0,1,0,0,0,2,2,0,1,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,2,1,0,1,0,0,0,2,1,2,0,0,0,1,1,0,1,0,0,1,0,1,2,1,2,0,0,1,1,1,1,1,1,0,0,1,1,0,0,1,1,0,1,1,1,1,0,1,0,1,1,0,0,0,2,0,0,0,0,0,0,0,2,1,1,1,1,1,0,0,2,0,0,0,0,1,0,2,0,0,0,1,0,1,1,0,0,1,2,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,2,2,1,1,1,1,1,0,0,0,2,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,1,0,1,0,0,2,0,0,2,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0,1,0,1,1,2,1,1,0,0,0,0,0,0,2,1,0,1,0,0,1,0,0,0,1,2,0,2,1,1,0,0,2,0,0,1,0,0,1,1,1,1,2,0,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,1,2,0,1,1,1,2,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,1,1,0,0,0,0,0,2,0,0,1,0,1,0,0,0,2,1,1,1,2,1,2,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,1,1,1,1,2,0,0,0,2,0,1,0,0,2,0,1,0,1,0,0,0,0,0,0,1,1,0,2,0,0,1,1,2,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,2,0,0,1,0,0,1,0,0,0,1,0,1,1,1,0,2,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,2,1,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,2,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0,1,2,0,0,0,0,0,0,0,1,1,0,1,0,2,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,1,1,2,0,1,0,0,0,0,1,2,1,0,1,1,1,1,1,1,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,1,0,0,0,1,1,0,1,2,0,0,0,0,0,0,1,0,2,1,0,0,1,0,2,0,0,1,0,1,1,2,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,1,2,0,1,1,0,0,1,0,1,1,0,1,0,2,2,0,2,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,2,0,0,0,0,2,0,0,2,0,0,2,0,0,1,0,0,0,0,0,0,0,0,1,1,1,2,0,0,1,0,0,2,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0,2,0,0,0,0 2,0,1,2,2,1,0,0,1,1,0,2,0,2,0,0,0,0,1,0,0,1,1,2,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,2,2,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,1,2,0,2,1,1,1,2,1,0,0,0,0,0,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,2,1,1,0,1,1,1,0,1,2,2,0,2,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,2,0,0,2,0,1,1,2,0,1,1,0,0,0,2,1,0,0,0,0,2,1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,2,1,0,0,0,1,1,0,1,0,0,1,1,0,2,1,2,2,0,0,1,0,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0,0,2,1,0,0,0,0,0,1,0,1,0,0,1,0,1,2,0,0,1,1,0,0,1,0,0,0,0,1,0,2,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0,0,1,2,0,0,2,0,0,0,2,0,0,2,1,1,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,2,1,1,0,0,0,0,2,0,0,1,0,1,1,0,0,0,1,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,1,1,1,0,1,0,0,1,0,2,1,2,1,0,0,1,1,0,0,0,1,1,0,0,0,0,2,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,2,0,0,0,1,0,0,0,0,0,1,0,1,2,0,1,0,0,1,1,0,1,1,0,0,0,2,1,0,0,0,2,0,2,1,0,0,1,0,0,0,0,1,1,0,2,1,0,1,0,0,0,1,0,0,2,0,2,0,0,0,0,0,1,1,1,0,1,0,0,2,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,2,1,0,1,0,0,0,1,1,2,1,0,0,0,0,1,1,0,0,1,1,1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,1,1,1,0,2,0,1,1,1,0,1,0,0,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,1,1,1,0,2,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,1,2,0,1,0,1,0,2,0,2,0,0,0,1,0,1,1,0,2,0,1,0,1,1,0,0,1,0,0,0,1,2,2,1,0,1,1,0,0,0,0,0,2,0,1,2,1,1,0,1,0,2,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,2,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,1,2,0,0,2,2,0,2,0,0,0,0,0,2,1,1,1,1,1,1,0,0,1,0,0,0,0,2,1,1,0,0,0,1,1,0,0,0,0,0,1,2,0,0,1,0,2,0,1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,1,1,1,0,0,0,1,1,0,2,2,0,0,0,0,1,1,0,1,0,0,0,1,1,1,1,2,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,2,1,0,1,1,0,0,0,0,1,0,0,2,2,2,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,2,0,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,2,0,2,0 0,0,1,1,1,0,0,0,1,0,0,1,0,2,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,2,2,0,2,0,2,0,1,1,1,0,2,1,0,2,1,2,0,0,0,1,1,0,0,0,0,0,1,0,0,2,0,0,0,1,1,0,0,1,1,1,2,0,0,1,1,0,1,1,0,1,0,0,1,2,0,1,2,0,0,1,0,1,0,0,1,1,1,0,1,0,1,1,0,1,1,0,1,0,1,2,0,1,0,1,0,2,0,0,2,2,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,2,1,1,1,2,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,2,0,0,0,1,1,0,1,0,1,0,2,2,1,1,0,1,1,0,1,0,1,2,1,1,0,1,0,1,0,1,0,2,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,1,1,0,2,1,0,1,1,0,0,0,1,0,1,0,0,0,2,0,0,0,2,2,0,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,0,1,2,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,2,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,2,0,0,2,0,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,1,0,2,1,1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,1,1,1,0,0,2,0,0,0,0,0,0,1,0,2,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,0,2,0,0,0,0,1,0,0,1,1,1,0,0,0,1,1,0,0,2,1,0,0,0,2,0,1,0,1,2,1,0,2,2,0,1,0,0,0,2,0,1,1,1,1,1,0,2,0,1,0,1,0,0,0,1,0,1,0,1,2,0,1,0,1,1,0,2,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,2,1,0,0,0,0,0,1,1,1,1,0,0,0,2,2,1,2,0,1,0,0,0,0,0,1,0,1,0,0,2,1,0,0,0,0,0,2,0,0,1,1,0,0,1,0,0,0,0,1,2,0,1,0,0,0,0,2,0,1,2,0,1,0,0,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0,1,1,1,1,1,0,0,1,0,0,1,1,0,2,0,0,2,0,1,0,1,1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,0,1,0,2,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,2,0,0,1,1,1,2,2,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,2,1,1,0,0,1,2,1,0,0,0,0,1,2,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,2,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,2,1,1,0,2,0,0,0,2,0,1,1,0,0,0,2,2,2,1,1,1,2,0,0,1,0,0,2,1,0,1,0,1,1,2,1,1,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,2,0,0,0,1,0,0,0,1,2,1,1,2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,2,0,1,0,0,0,0,0,1,1,0,0,2,0,2,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,2,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,2,0,1,0,1,0,0,2,0,0,0,2,0,1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,2,0,0,0,0,1,1,0,0,0,0,2,2,1,0,0,1,0,1,2,1,0,0,0,0,0,1,0,2,0,0,0,0 0,0,0,2,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,2,0,2,0,0,1,0,1,1,2,0,1,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,1,2,1,0,0,1,0,0,1,0,1,2,1,2,0,1,0,0,0,1,2,0,0,0,0,0,0,1,0,1,0,0,0,1,2,1,0,0,2,1,0,1,0,1,1,0,1,1,1,0,0,1,1,1,1,0,2,0,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,2,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,2,1,1,2,0,0,1,0,2,0,1,0,0,0,0,1,0,0,2,2,0,1,0,0,1,0,1,2,0,1,0,0,0,0,0,0,0,0,0,2,1,0,0,1,1,1,1,0,0,0,0,0,2,1,0,0,0,1,0,0,0,1,2,2,1,1,2,2,0,0,2,0,1,0,1,1,0,2,2,0,0,1,0,0,0,2,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,2,2,1,1,1,1,0,0,0,1,0,1,0,0,0,2,1,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,2,0,0,2,0,0,1,0,1,2,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,1,0,2,1,0,1,1,0,0,1,0,2,0,1,0,2,2,1,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,2,0,1,1,0,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,2,0,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0,0,2,1,0,1,0,1,0,0,0,1,0,2,0,2,0,0,1,2,0,1,1,1,1,0,0,1,0,0,0,0,1,0,2,0,0,0,0,1,0,0,0,0,0,0,1,2,2,1,0,2,0,1,0,1,0,0,0,0,0,0,1,0,1,0,1,2,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,1,1,1,1,0,2,0,0,0,0,0,1,1,1,0,2,0,0,1,1,0,2,2,2,1,0,0,1,0,0,0,1,1,0,0,2,0,0,0,0,1,0,1,0,1,0,1,1,2,1,1,0,0,0,0,0,2,1,1,0,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,1,2,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,2,0,0,1,1,0,1,1,0,0,0,0,0,2,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,1,2,1,2,1,2,1,0,1,0,0,0,0,1,1,0,1,1,1,0,1,0,1,2,0,1,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,2,0,0,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,2,0,1,0,1,0,0,1,2,0,0,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,2,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,2,0,0,0,0,1,0,1,1,1,0,2,1,0,1,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0,2,0,0,0,1,1,1,1,0,2,1,0,0,0,0,0,0,1,0,0,2,1,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,2,1,0,0,1,0,0,0,0,2,0,1,1,0,0,0,0,2,0,1,1,1,0,0,1,1,0,1,0,0,0,0,2,0,0,1,0,0,0,2,1,0,1,1,0,0,1,1,1,0,0,2,0,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0,2,2,1,1,0,1,0,1,1,0,1,2,0,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0 1,0,0,2,1,0,2,0,0,0,1,0,0,2,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,1,0,1,2,0,0,1,0,0,1,0,1,1,1,1,0,0,1,1,2,0,0,0,0,0,0,0,2,1,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,1,1,1,1,0,1,1,2,0,1,0,1,0,2,1,1,0,1,0,0,0,0,0,1,1,2,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,0,2,1,0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0,1,0,1,2,0,0,1,0,0,1,0,2,1,2,1,1,0,1,0,1,0,0,1,1,0,0,2,2,0,0,0,1,0,0,1,2,1,1,2,0,0,1,1,0,1,1,0,0,0,2,0,1,2,0,0,0,0,1,0,1,0,0,1,0,1,0,0,1,1,0,1,1,0,2,2,1,0,0,0,1,0,0,1,0,1,0,0,2,2,1,0,0,0,0,0,0,0,2,0,1,0,0,1,1,0,0,1,1,1,1,1,0,1,0,0,1,2,0,0,1,0,1,1,1,0,0,0,0,0,2,1,0,2,0,1,0,0,1,1,0,0,0,1,0,0,0,0,2,1,0,0,1,0,0,0,1,0,1,1,2,0,0,1,0,1,1,0,2,2,1,1,1,0,0,0,1,1,2,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,2,1,1,0,1,1,0,0,1,0,2,0,1,0,1,1,0,0,1,1,1,1,0,1,0,1,1,1,1,0,2,1,1,0,0,1,1,1,1,1,0,2,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,2,0,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,2,1,0,1,1,0,0,2,1,1,1,0,0,1,2,1,1,0,0,1,1,1,0,2,1,0,0,0,0,0,2,0,1,1,1,0,1,2,1,1,0,1,1,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,2,2,0,2,1,0,0,1,0,0,0,1,0,1,0,0,1,2,0,0,0,1,2,1,0,0,1,0,1,0,1,1,0,2,2,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,2,2,2,0,1,2,0,2,0,1,0,0,1,0,0,2,0,0,1,1,1,0,2,0,1,0,2,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,2,1,1,2,1,2,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,2,0,1,0,0,0,0,1,1,1,1,1,0,1,1,0,0,0,2,0,1,1,1,1,1,0,0,2,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,0,1,1,0,1,0,2,1,0,0,2,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0,2,1,1,0,0,1,0,2,0,0,2,0,1,2,0,0,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,1,2,1,0,1,0,0,0,2,0,1,2,1,0,0,0,0,1,0,1,0,2,0,0,1,0,1,1,0,0,2,2,1,0,0,2,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,1,2,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,2,0,1,0,0,0,0,1,0,2,0,0,0,0 1,0,1,1,0,0,0,1,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,2,1,1,0,0,0,1,0,0,1,1,1,2,1,0,1,0,1,2,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,2,1,0,1,1,1,0,0,1,0,0,1,0,2,0,2,0,1,1,0,2,1,1,1,2,0,1,1,0,0,0,1,2,0,0,1,2,2,1,1,1,0,0,0,1,1,0,0,0,0,2,0,1,0,0,1,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,2,0,0,0,1,0,2,0,0,0,0,1,0,0,2,1,0,0,0,0,1,1,1,1,1,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,2,0,1,0,0,0,0,0,1,0,2,1,1,0,2,0,2,1,2,0,1,0,0,2,1,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,2,1,0,0,0,1,1,0,1,2,0,1,0,1,1,0,2,0,0,0,0,1,1,0,2,0,1,1,1,0,0,0,0,0,2,0,0,0,1,1,2,1,1,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,2,0,1,2,0,0,1,0,1,1,0,0,0,0,0,1,1,1,2,0,1,0,1,0,0,0,0,1,0,1,2,0,0,1,2,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,1,2,0,0,1,0,1,2,1,0,1,0,1,1,1,0,1,1,1,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,1,0,2,0,0,2,1,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,2,1,0,2,0,0,0,1,0,2,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,1,1,1,0,2,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,1,1,1,0,0,2,2,0,0,0,1,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0,2,2,2,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,2,1,1,0,1,1,0,0,2,0,0,1,2,2,0,1,0,1,0,2,0,0,0,1,0,1,1,0,0,0,0,1,0,2,1,1,1,0,0,0,1,1,0,1,0,0,0,0,1,2,0,1,1,0,1,1,2,1,1,1,0,0,0,0,1,0,2,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,1,1,1,0,2,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,2,0,0,2,0,0,0,2,0,1,1,2,0,0,2,0,0,0,0,0,2,1,0,0,0,0,0,0,2,0,0,2,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,2,1,0,0,0,0,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,2,0,1,0,0,1,1,0,0,1,2,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,2,2,1,0,0,1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,1,2,0,1,0,0,0,1,1,0,1,1,0,0,1,1,2,0,0,2,1,1,1,0,0,1,0,0,2,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0 1,0,0,0,1,0,0,2,0,1,0,1,0,1,2,0,0,1,0,0,0,0,0,0,2,0,1,2,0,1,2,0,1,1,0,0,0,2,0,1,0,2,2,1,1,1,0,2,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,1,0,1,1,2,2,1,2,0,0,1,1,0,0,1,0,0,0,0,1,2,2,0,1,0,1,0,0,2,1,0,1,1,0,0,0,0,1,2,1,1,1,2,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,1,1,0,1,1,0,1,2,0,0,0,0,0,0,1,0,0,0,0,0,2,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,2,0,0,2,1,1,0,0,1,1,1,1,2,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,1,2,0,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,2,0,0,0,1,0,0,0,1,2,1,1,0,2,1,0,0,2,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,1,0,1,2,1,2,0,1,0,0,1,0,1,1,0,0,0,0,1,1,1,2,1,1,0,0,1,0,1,0,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,1,0,1,2,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,2,2,1,0,2,0,0,0,0,1,0,0,0,0,0,2,0,0,0,2,0,0,1,1,0,0,0,0,1,0,2,0,0,0,0,1,1,0,0,1,2,1,0,2,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,1,1,1,0,1,1,1,2,0,0,1,0,1,2,0,0,0,1,1,1,0,1,1,2,0,1,1,0,0,0,0,1,1,1,0,0,1,0,1,1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,2,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,2,0,2,0,0,0,2,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0,2,0,1,0,1,0,0,1,0,0,0,1,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,2,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0,2,0,2,1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,2,1,1,0,1,0,2,0,0,0,0,0,1,0,0,1,1,0,2,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,1,1,0,2,0,0,1,1,2,0,1,0,1,0,0,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,2,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,2,1,1,0,0,0,0,0,2,0,2,0,0,1,1,2,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,2,0,0,0,1,2,0,0,2,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,2,2,0,1,0,0,0,0,1,0,0,1,0,2,0,1,0,1,1,0,0,0,1,0,0,1,1,2,1,0,0,1,0,2,2,0,0,0,0,0,1,0,1,1,2,0,0,0,2,0,0,0,2,0,0,1,0,0,0,2,1,2,0,0,1,1,1,0,0,1,2,1,0,0,1,1,0,1,0,0,2,0,0,1,0,1,0,0,0,2,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,2,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,2,1,1,1,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0,2,2,1,2,1,0,0,0,0,2,0,0,0,0,0,0,1,2,2,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0 1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,1,1,2,1,2,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,2,0,0,0,1,1,2,0,2,0,0,0,0,1,0,1,0,2,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,2,1,1,0,1,0,1,2,0,0,1,1,1,0,0,2,2,1,2,0,0,0,0,1,0,1,2,0,0,1,0,1,0,0,2,1,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,2,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,1,2,0,0,0,1,1,1,2,0,0,1,0,1,0,0,0,0,2,0,0,1,0,2,2,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,2,0,0,1,0,2,1,0,0,1,0,0,1,2,0,1,2,0,0,1,1,1,0,0,0,2,1,1,2,2,0,0,0,0,0,1,0,0,2,0,0,0,1,1,1,0,1,0,1,0,1,1,0,0,0,2,1,1,0,0,1,2,1,2,2,0,1,1,1,0,2,0,0,0,1,1,0,0,1,1,0,1,0,2,1,1,1,0,0,0,1,1,0,0,1,0,0,0,1,1,2,1,0,0,2,1,2,0,0,0,1,0,1,1,0,1,0,0,0,2,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,2,1,1,1,0,1,0,0,2,0,1,0,1,0,2,0,1,0,0,0,1,0,1,0,0,0,2,0,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0,0,1,2,2,0,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,2,1,1,0,0,0,1,1,0,0,1,2,1,1,0,0,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,2,1,0,0,0,0,1,0,0,0,2,0,1,0,2,1,0,0,1,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,2,1,0,0,0,0,0,0,1,1,1,0,2,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,1,2,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,1,0,2,1,0,0,1,1,0,2,0,0,0,1,2,0,0,0,0,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,1,1,1,0,2,0,2,2,1,1,1,1,0,0,0,0,0,0,1,2,0,0,0,1,0,1,1,0,0,1,2,0,0,0,0,2,1,1,0,0,0,1,0,0,1,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,2,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,2,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,1,1,2,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,0,2,1,0,0,1,0,0,0,1,1,0,0,1,1,2,2,0,0,1,2,2,2,1,1,2,2,0,2,0,0,0,1,0,0,0,1,2,2,0,0,0,1,0,0,0,0,0,0,2,0,1,0,1,0,1,0,2,1,1,0,0,0,0,0,2,0,0,2,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,1,1,1,0,1,1,0,2,0,0,0,1,1,0,0,0,1,2,0,0,0,0,1,0,0,2,1,0,0,2,2,0,1,0,0,0,1,2,0,0,1,0,0,1,0,0,0,0,1,1,2,0,1,2,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,1,1,0 1,0,0,1,0,1,2,0,1,0,0,1,0,1,1,0,1,2,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,2,1,0,0,0,1,0,1,2,1,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,2,1,1,1,2,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0,2,0,1,0,0,0,2,0,0,1,0,0,0,0,1,1,0,0,2,0,2,1,0,1,0,1,0,2,0,0,1,0,0,2,1,0,0,1,0,1,1,1,1,0,0,0,1,0,1,0,2,0,0,2,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,2,0,1,0,0,1,0,1,2,1,0,1,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,0,2,1,1,2,0,0,0,0,1,1,0,0,2,2,0,1,0,1,0,1,2,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,2,2,0,0,1,0,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,2,1,2,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,2,0,1,0,0,0,0,1,1,2,1,0,0,0,0,2,1,0,2,1,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,1,2,2,1,0,1,0,0,1,0,2,0,0,1,0,0,0,1,2,1,0,0,1,2,2,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,1,1,0,0,0,0,0,0,2,1,0,2,0,0,1,0,0,0,0,2,0,0,0,0,0,2,0,1,2,2,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,2,0,0,0,1,0,0,1,0,0,1,2,1,0,0,1,1,2,0,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,2,0,0,0,2,1,0,0,0,0,1,1,1,2,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,1,1,1,2,0,0,0,0,0,0,0,1,1,0,0,2,1,0,1,0,0,1,2,0,0,0,1,1,1,0,0,0,0,1,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,2,0,0,0,1,1,0,0,0,2,0,0,1,0,0,0,2,2,0,0,2,1,0,0,0,0,1,1,0,2,0,0,0,2,0,1,0,0,0,1,0,0,0,2,1,1,1,0,1,1,1,2,1,2,1,0,0,1,0,0,2,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,2,1,1,0,0,0,0,0,0,2,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,1,0,2,0,1,1,1,0,0,0,2,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0,1,2,0,1,0,0,1,0,2,1,0,1,1,0,1,1,0,0,0,0,1,1,1,2,1,1,2,0,0,1,1,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,2,0,0,0,1,1,1,0,1,2,2,0,0,1,1,0,0,1,0,0,0,0,0,1,2,1,0,2,0,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,1,2,0,0,1,1,1,1,2,1,0,0,1,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1,2,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,2,0,1,1,0 1,0,0,0,1,0,2,0,1,1,2,1,1,2,0,1,1,1,0,0,0,1,1,0,2,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,2,1,1,1,0,0,1,0,1,2,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,1,1,0,0,1,1,0,0,0,2,1,0,0,1,0,0,0,0,2,0,1,1,1,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0,2,0,1,0,0,0,2,1,0,1,0,0,1,0,1,1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,2,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,2,1,0,0,1,0,0,0,1,0,1,0,0,0,1,0,1,1,1,1,1,2,0,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,2,0,1,1,2,0,1,0,2,2,0,2,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,1,0,0,2,0,0,0,1,0,0,0,1,1,2,0,0,0,1,0,1,0,0,0,1,1,1,1,2,0,1,1,0,2,2,1,1,1,1,0,0,0,0,0,2,0,2,0,1,0,1,2,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,2,1,0,0,1,1,0,0,0,2,0,1,0,1,1,0,0,1,2,0,0,0,1,0,0,0,1,0,1,1,2,1,2,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,2,1,1,1,1,2,1,0,0,0,0,2,0,1,0,0,0,0,0,2,0,1,0,1,0,0,1,1,0,1,2,2,0,0,1,0,0,0,0,2,0,1,0,0,0,1,2,0,0,1,0,0,1,0,0,0,1,0,0,1,1,1,1,1,1,0,1,0,0,2,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,2,0,0,1,1,1,0,1,1,0,1,1,2,0,0,0,0,0,0,0,1,1,2,0,1,0,1,0,1,1,2,2,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,2,1,0,1,0,0,0,0,1,2,0,1,0,0,0,0,1,1,1,1,1,1,2,2,0,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,2,1,0,0,2,0,0,0,1,0,2,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,2,0,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,2,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,2,0,2,0,1,1,1,0,1,1,2,1,0,1,0,1,1,1,0,0,0,0,0,1,0,2,1,2,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,1,0,2,1,1,0,0,2,1,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,2,0,0,2,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,2,0,1,0,2,2,0,2,1,1,0,0,0,0,0,1,1,0,0,2,0,0,2,1,0,0,0,0,1,1,0,2,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,2,0,1,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,1,0,1,0,0,0,2,1,0,0,1,0,0,2,0,1,0,1,1,1,1,0,0,1,0,1,0,0,2,1,1,0,0,1,2,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,2,0,0,0,0,1,0,1,0,0,2,0,0,1,2,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,2,0,0,1,1,2,1,2,0,0,0,1,1,1,0,1,0,1,0,0,1,0,2,1,0,0,0 1,0,2,1,2,0,0,0,2,0,2,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,1,0,2,2,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,0,2,2,0,0,0,0,2,0,0,0,0,0,0,1,0,0,1,2,0,1,0,0,0,2,1,1,0,1,2,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,2,0,0,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,1,0,2,0,1,0,0,1,1,0,1,1,1,2,2,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,2,0,1,0,0,2,1,0,1,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0,2,0,1,0,1,0,2,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,1,1,0,1,0,1,0,1,1,1,0,0,1,2,1,0,1,2,0,1,1,0,0,0,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,2,0,0,2,0,1,0,1,0,2,1,0,1,1,1,0,1,2,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,2,2,0,0,2,1,0,1,0,1,0,0,0,1,1,2,0,0,1,1,1,0,0,0,0,1,2,0,0,2,0,1,0,2,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,2,0,0,2,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,2,2,1,1,0,0,1,0,1,1,0,0,2,0,1,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,2,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,2,1,0,0,1,1,0,1,1,0,1,2,1,0,0,0,1,0,0,0,1,2,0,2,1,0,0,1,0,0,0,1,0,0,1,0,1,0,2,0,2,0,1,0,1,0,1,0,0,0,1,0,1,1,2,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,2,1,1,0,2,0,1,1,1,0,1,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,1,2,1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,1,2,0,1,1,0,1,2,1,0,0,0,0,2,0,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,2,0,1,1,0,0,2,0,0,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,2,1,0,0,0,1,1,1,2,0,1,0,1,1,1,2,0,0,0,0,2,0,0,1,0,1,1,0,0,1,0,0,0,0,2,0,0,0,0,2,1,0,1,0,0,0,2,1,1,1,0,1,0,2,1,1,1,1,1,1,1,1,2,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0,2,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0 0,0,1,2,0,1,0,1,0,1,2,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,2,0,0,0,1,1,0,0,2,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,1,1,2,0,0,2,1,0,0,1,0,1,1,1,1,2,1,0,0,1,1,1,2,0,1,0,0,0,0,0,1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,1,2,1,0,0,0,1,0,0,2,1,1,0,0,0,0,0,2,0,1,1,0,1,0,0,0,0,2,0,0,0,1,0,1,0,0,0,0,0,0,2,0,1,1,2,0,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,2,0,0,2,0,2,2,1,0,2,0,1,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,2,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,2,0,1,2,0,0,1,0,0,0,0,1,1,1,0,0,1,2,0,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,2,0,0,1,0,0,0,0,0,0,2,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,2,0,0,0,1,1,0,1,0,0,0,0,2,0,2,0,0,0,1,0,0,1,0,0,0,0,1,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,2,2,1,1,1,0,2,1,0,1,0,2,0,0,2,0,1,1,1,0,0,0,2,0,0,1,0,1,0,1,0,1,1,2,1,2,1,0,1,1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,2,0,1,0,0,2,0,0,2,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,0,2,0,1,1,0,0,0,0,0,1,1,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,1,2,0,0,1,0,0,0,1,1,0,0,1,1,0,1,2,1,0,0,0,1,2,1,1,0,2,1,0,0,0,0,0,0,1,2,1,0,0,2,1,0,1,1,0,2,1,1,0,0,0,0,1,1,1,1,0,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,2,1,0,2,1,0,0,1,0,1,0,0,1,0,0,1,2,0,0,0,1,0,1,1,2,0,1,2,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,2,0,1,1,0,1,0,1,1,1,1,0,2,1,1,2,1,0,0,0,1,2,0,0,1,2,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0,1,0,0,2,0,1,1,0,2,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,2,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,1,2,0,1,1,1,2,1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,2,0,1,1,1,0,0,0,0,1,0,0,0,1,2,0,2,0,1,2,0,1,1,0,0,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,2,2,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,1,1,0,1,2,2,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,2,1,0,1,0,1,0,2,1,1,0,0,1,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,1,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0 1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0,2,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,2,1,0,1,0,1,1,2,1,0,1,0,0,0,1,0,0,1,2,0,0,0,0,0,1,1,0,0,2,1,0,0,2,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,2,0,0,1,0,1,1,1,0,2,0,1,0,0,0,0,1,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,2,1,0,0,1,0,2,0,2,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,2,1,2,1,0,0,2,2,1,1,2,0,0,1,1,0,0,1,1,0,1,1,0,0,1,2,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,2,1,0,0,1,0,1,0,2,0,1,0,0,0,2,1,1,2,0,0,1,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,1,1,1,1,0,2,0,0,0,1,0,1,0,1,0,0,1,0,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,1,1,1,1,2,1,2,0,0,1,1,1,1,2,0,1,0,0,1,2,0,2,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,2,2,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,1,1,0,1,1,0,0,1,2,2,1,1,1,2,1,0,1,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,2,0,1,2,0,0,0,0,0,0,2,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,2,0,1,1,0,0,1,1,1,0,1,0,0,1,0,1,1,1,1,1,0,2,1,0,1,1,0,2,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,2,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,2,0,1,2,0,2,0,0,0,1,1,0,2,1,0,2,1,2,0,0,2,2,0,1,0,1,0,0,0,1,2,0,1,0,1,1,1,2,1,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,0,2,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,2,0,0,1,0,0,0,2,1,0,1,2,1,0,0,1,1,2,0,1,2,0,0,1,2,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,2,1,0,1,0,0,0,1,1,1,0,0,0,2,1,1,0,1,1,0,0,0,2,1,1,0,0,0,0,0,1,1,1,1,0,1,0,0,0,2,1,0,1,0,0,1,1,1,1,0,1,1,1,1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,2,0,1,0,1,0,0,0,0,1,0,0,2,1,0,0,1,0,2,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,1,0,2,2,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,1,0,0,1,1,0,1,1,0,1,0,0,2,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,1,1,0,1,1,0,1,1,0,2,0,0,1,2,0,0,1,0,1,2,0,0,1,1,0,0,0,0,2,1,0,0,1,0,0,1,0,1,0 0,0,0,2,0,0,0,1,0,0,2,1,0,2,1,0,0,1,0,0,0,0,2,0,1,2,0,2,0,0,1,0,2,0,2,0,1,0,1,1,0,2,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,2,1,1,0,0,0,0,1,1,0,0,1,1,2,0,1,0,1,1,1,2,0,1,0,0,1,1,2,0,2,0,1,0,1,2,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,0,0,1,1,0,1,2,0,1,0,1,0,0,2,0,0,1,0,1,0,1,1,0,0,0,1,2,1,1,0,0,1,0,2,1,2,0,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,0,1,2,0,0,0,1,1,0,2,1,0,1,2,0,1,1,1,2,0,0,0,0,0,1,1,1,0,0,0,2,1,1,1,1,1,2,1,0,0,2,1,0,0,0,0,1,0,2,2,1,0,0,0,1,0,0,0,1,0,2,1,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,1,2,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,2,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,1,0,1,1,1,1,1,1,1,1,0,1,0,0,1,0,1,1,1,0,0,2,0,0,2,0,0,2,0,2,0,0,1,0,0,0,0,2,0,0,0,1,1,0,0,1,0,0,0,1,2,0,1,0,1,0,0,0,0,1,0,1,2,1,0,0,2,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,1,0,1,0,1,2,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,2,1,0,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,2,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,2,0,0,0,1,2,1,1,1,0,1,1,2,0,0,0,0,0,0,0,2,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,1,1,1,1,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,2,1,0,1,2,0,0,0,1,0,1,0,0,0,1,0,1,1,0,1,2,2,0,0,0,1,0,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,1,0,0,2,2,1,1,1,0,1,0,0,0,2,0,2,1,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,0,0,0,2,1,0,1,1,0,1,1,1,1,0,0,1,0,1,0,1,2,1,0,0,0,0,2,2,2,2,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,2,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0,2,0,2,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,2,2,0,0,0,2,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,2,0,1,0,0,0,1,1,1,1,1,1,0,0,1,0,2,0,2,2,1,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,1,2,0,0,0,0,2,0,0,2,1,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1,1,2,0,0,1,0,0,0,0,0,0,0,1,0,1,2,1,0,1,0,1,0,1,0,0,0,0,0,1,1,1,0,0,2,0,1,1,0,1,2,0,0,1,0,0,1,2,1,0,0,0,0,0,1,0,0,0,2,0,1,0,1,0,0,0,1,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,2,2,1,0,0,0,1,0,0,0,0,0,1,0,1,0,2,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,2,1,1,1,0 0,0,0,1,1,1,0,0,0,1,0,2,0,1,0,2,0,0,1,0,0,0,1,0,0,0,0,2,1,2,1,0,0,1,1,0,2,0,1,0,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,2,0,2,2,1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,1,2,0,0,0,1,1,0,0,0,1,2,0,2,1,2,0,0,0,0,0,0,0,0,1,0,1,2,1,1,1,0,2,0,1,1,1,0,0,1,1,2,2,0,0,0,0,0,1,1,2,0,0,0,1,1,0,1,1,1,0,2,2,1,0,2,0,1,2,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,2,0,2,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,2,0,1,0,0,1,0,1,0,0,0,0,1,2,0,0,0,0,1,0,0,1,1,1,1,1,0,1,1,0,1,0,2,1,0,0,1,0,2,0,0,0,0,1,0,0,2,2,0,0,1,1,1,0,1,0,0,0,0,0,1,1,1,0,1,0,2,0,0,1,0,2,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,2,1,2,1,2,1,0,1,2,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,1,1,2,1,1,0,0,1,2,1,0,2,1,1,0,1,0,0,1,0,2,2,2,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,1,1,1,1,0,1,1,0,2,1,0,2,0,0,1,0,1,1,0,2,0,2,1,0,1,1,1,1,2,1,0,0,0,0,0,0,0,2,0,2,0,0,0,1,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,1,0,2,0,0,0,0,1,1,0,0,0,2,0,0,0,1,1,0,1,0,1,0,0,0,0,0,2,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,2,2,0,1,0,0,1,0,0,0,0,0,1,2,1,1,0,0,0,0,1,0,1,0,1,0,0,1,2,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,1,2,0,0,2,1,0,0,2,0,0,1,0,2,0,0,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,2,2,0,0,1,1,0,1,1,0,2,0,0,0,1,1,0,1,1,1,0,2,0,1,0,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,1,0,1,2,1,0,0,0,1,1,0,1,0,1,0,2,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,1,1,2,0,0,0,1,0,0,1,1,0,0,1,0,1,0,2,0,0,2,0,0,1,2,1,1,0,2,1,2,0,1,1,0,0,1,0,0,2,1,0,1,0,0,1,0,1,0,2,1,2,0,0,0,1,0,0,0,0,0,1,0,2,2,0,2,1,0,1,0,0,0,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,2,0,1,1,1,0,0,1,1,0,0,0,0,2,1,1,0,0,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,2,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,1,0,2,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,1,2,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0 1,0,1,2,0,1,0,1,0,1,1,1,1,0,1,1,0,2,0,0,0,0,1,2,0,1,1,1,1,0,1,0,0,0,0,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,0,1,0,0,1,1,0,2,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,1,1,1,1,2,0,0,0,0,0,2,0,0,1,0,0,1,0,1,2,0,2,1,1,1,0,0,2,1,0,0,0,0,1,0,0,1,2,0,2,2,0,0,1,0,1,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,2,0,1,0,1,1,0,0,0,1,1,2,1,2,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,1,1,0,1,0,1,1,0,0,1,0,0,2,0,0,2,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,2,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,1,0,0,2,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,2,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,2,1,2,1,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,2,0,1,0,0,0,1,0,0,0,1,0,2,1,1,0,0,0,0,0,2,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,2,0,0,1,2,1,1,2,0,2,0,0,0,0,2,0,0,0,1,0,2,0,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,1,1,1,1,1,1,0,0,1,0,1,0,1,1,0,1,0,1,1,2,1,0,1,0,0,0,0,0,2,1,0,1,1,2,0,0,0,1,1,0,0,0,0,1,2,1,0,0,2,0,0,1,1,0,0,0,1,0,1,0,2,2,0,0,0,0,1,1,1,0,1,0,0,2,0,0,0,0,1,0,1,1,0,0,0,2,1,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,2,0,0,2,0,1,0,0,0,1,0,1,0,0,0,0,1,2,1,0,2,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,1,1,1,0,2,0,1,0,1,0,1,0,0,0,1,0,0,0,1,2,0,1,0,2,0,0,0,1,0,0,0,2,1,0,0,1,2,1,0,1,0,1,0,2,1,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,2,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,1,1,1,1,0,2,2,1,0,1,0,1,0,1,1,1,0,2,0,1,0,0,2,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,2,2,0,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,2,0,1,0,0,0,2,1,0,0,1,0,0,0,0,2,0,0,2,0,0,1,1,1,1,1,0,0,0,2,0,2,0,0,1,1,0,2,0,1,1,1,1,0,0,0,2,2,0,0,0,0,0,1,0,1,0,0,2,0,0,1,0,0,1,0,1,1,1,2,0,0,0,1,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0 1,0,0,1,1,0,1,2,2,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,1,1,0,0,1,2,1,1,0,0,0,0,0,0,0,2,1,0,0,0,1,0,2,1,2,1,0,1,0,1,1,1,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,1,1,0,0,0,1,1,0,2,0,1,0,0,2,0,1,0,2,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,0,2,0,0,1,1,2,0,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0,1,1,0,0,2,0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,2,0,1,1,0,1,0,0,1,1,2,1,0,2,0,0,2,0,0,0,0,0,0,0,0,1,0,1,2,2,1,0,1,1,0,0,0,0,1,0,1,1,1,1,1,1,1,2,0,0,1,1,1,1,2,0,1,1,1,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,2,0,1,0,2,1,0,0,1,0,1,1,1,0,0,0,0,0,2,1,1,1,0,0,2,1,1,1,2,0,1,2,1,0,0,0,0,1,2,1,0,0,1,1,0,2,0,1,1,0,1,0,0,0,0,1,1,0,0,2,1,0,1,1,0,0,1,0,1,0,0,2,1,1,0,1,0,2,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,2,2,0,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,1,0,2,0,0,1,0,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,2,0,1,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,2,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,1,2,1,0,1,0,1,0,2,1,0,1,1,0,0,1,0,2,0,0,0,0,0,0,0,1,0,1,2,1,2,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0,2,0,1,0,1,1,0,1,1,0,0,1,0,0,1,2,0,1,0,0,1,2,0,1,0,1,1,0,1,0,1,0,0,2,0,0,1,0,1,1,0,1,0,0,0,2,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,1,2,0,1,0,1,0,1,0,1,2,1,1,1,1,0,1,0,0,0,1,2,0,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,0,0,1,1,1,0,2,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,2,1,2,0,0,0,0,0,0,0,1,0,0,0,1,1,0,2,0,0,1,0,1,0,1,0,1,1,1,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,2,0,0,2,0,0,1,2,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,2,2,2,1,0,0,0,0,2,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,1,2,0,1,1,0,1,0,1,0,0,0,1,0,2,2,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,1,0,0,0,0,0,2,1,0,1,1,1,0,0,1,1,2,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0 1,0,0,0,2,0,1,0,2,0,1,2,0,1,1,0,0,0,0,0,0,0,1,1,0,0,2,1,2,0,1,0,0,0,0,0,1,0,0,1,1,2,1,1,0,0,2,0,0,0,0,0,0,0,2,0,1,1,2,1,0,1,0,0,0,0,1,2,1,0,0,0,1,2,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,1,2,0,0,0,0,0,0,1,0,0,1,0,1,2,0,0,1,0,1,2,0,0,0,1,0,1,2,1,2,0,2,0,0,0,0,0,2,2,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,1,1,0,2,1,1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,2,0,1,1,1,2,1,1,1,1,1,0,2,0,0,1,1,0,2,1,0,1,1,0,0,2,0,0,0,0,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,1,2,0,0,1,0,1,1,1,1,0,0,1,1,0,2,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,2,0,0,0,0,0,0,2,1,0,0,2,0,0,1,1,0,1,0,2,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,2,0,0,0,2,0,2,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,1,1,0,0,0,1,0,0,0,2,0,0,1,1,0,0,1,0,0,2,1,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1,1,1,0,1,0,1,0,2,0,0,2,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,1,0,2,1,1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0,1,2,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,2,0,0,1,0,0,1,1,0,1,1,0,0,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,1,2,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,2,0,2,0,1,0,1,0,0,0,1,1,0,1,2,0,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0,2,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,2,1,0,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,2,0,0,0,1,2,0,1,0,0,1,0,0,0,1,0,1,1,1,1,0,0,2,1,0,0,1,0,1,0,1,1,0,1,1,0,1,1,0,2,2,0,0,0,0,0,2,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,2,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,2,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,2,0,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,1,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,2,1,1,1,0,2,0,0,1,1,1,2,1,1,0,2,2,0,0,0,0,1,2,1,2,1,0,1,0,0,0,1,0,0,1,0,0,0 2,0,1,0,0,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,1,2,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,2,0,0,2,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,2,1,1,1,0,0,0,2,2,1,0,2,1,0,0,0,0,0,0,0,1,1,2,0,1,1,1,0,0,0,0,2,1,0,2,0,1,0,1,1,0,0,0,0,0,1,1,2,0,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0,1,2,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,2,1,0,0,0,0,0,2,1,1,0,0,0,2,0,0,0,1,0,2,0,0,0,2,0,1,2,0,0,0,0,1,0,0,2,1,1,2,1,0,1,2,0,0,0,1,2,0,0,1,1,0,1,0,1,1,0,0,0,2,1,0,0,0,1,1,2,0,0,1,0,1,0,2,1,0,1,0,0,0,0,1,1,2,0,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,2,1,2,1,0,0,2,1,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,1,0,0,2,2,1,1,1,1,0,1,0,1,1,2,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,2,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,1,0,1,0,1,1,2,0,0,0,0,1,0,0,1,1,0,1,1,0,1,1,1,0,2,1,2,0,0,0,0,0,1,0,1,0,0,1,0,0,2,0,1,1,0,1,2,0,0,1,1,1,0,0,0,1,0,2,0,1,1,0,0,0,0,1,0,0,1,0,1,1,0,1,0,2,0,2,0,0,1,0,1,1,1,1,2,2,0,1,1,1,0,1,0,0,0,1,2,1,0,1,0,0,0,0,1,0,2,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,1,1,1,0,1,1,1,1,0,1,1,1,1,0,0,1,0,0,1,2,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,2,0,0,1,0,0,2,0,1,0,1,0,1,1,0,0,1,0,0,0,2,0,0,0,0,1,2,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,2,0,1,0,0,2,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0,2,2,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0,2,0,0,1,1,0,0,0,2,0,0,0,1,0,2,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,2,2,1,1,1,1,1,0,1,1,1,0,1,2,0,2,1,1,1,0,0,1,1,0,0,0,0,0,2,0,0,1,0,0,0,0,1,1,2,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,2,1,0,0,1,1,1,1,1,1,1,0,2,0,1,0,1,0,1,0,1,0,0,2,0,0,2,0,0,2,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,2,0,0,1,0,0,2,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,1,2,0,0,1,0,0,2,0,0,1,0,0,1,0,2,0,1,1,0,0,0,0,0,2,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0 1,0,1,1,0,0,0,0,0,1,1,0,0,1,2,1,1,2,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,1,0,2,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,1,1,0,0,2,1,0,0,1,0,2,1,0,2,2,0,1,0,1,0,1,0,0,1,1,1,1,0,0,2,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0,1,0,2,0,1,1,0,2,0,0,1,0,2,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,2,1,1,1,0,1,0,2,0,0,0,0,0,1,0,0,0,0,1,0,2,2,0,0,0,1,1,0,2,2,1,0,0,0,0,0,0,0,0,0,1,1,2,1,2,2,1,0,1,0,0,0,0,0,0,0,1,1,2,0,1,0,1,0,0,0,0,1,1,1,0,1,1,0,0,2,1,2,0,0,2,0,2,0,0,0,1,1,0,0,1,2,0,1,2,0,0,0,1,1,1,0,2,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,2,0,0,0,1,2,1,0,0,0,1,0,1,0,2,0,0,0,0,1,1,1,1,0,0,0,2,2,0,0,0,2,0,1,0,2,1,1,2,1,0,0,0,2,0,1,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,1,1,0,1,1,1,1,1,1,0,0,1,1,0,0,1,1,1,2,1,0,0,0,1,2,0,1,0,1,0,0,1,1,0,0,0,0,1,1,1,2,0,0,0,1,0,0,0,1,1,0,0,1,1,0,1,1,1,0,0,0,1,2,0,0,0,0,0,1,1,1,2,0,0,0,0,0,1,1,0,1,1,1,0,2,1,0,0,0,0,0,2,0,1,0,1,1,1,0,0,1,0,2,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,1,0,1,1,2,0,0,1,0,0,0,0,0,2,0,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,2,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,2,1,1,1,1,0,1,0,1,0,0,1,0,1,2,2,0,0,0,2,0,2,1,1,1,2,0,1,0,1,0,0,1,1,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,1,1,1,2,1,1,1,1,0,1,2,2,0,1,1,1,2,0,1,0,0,0,2,0,2,1,2,0,1,0,1,0,0,0,1,0,2,0,0,0,1,0,0,2,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,2,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0,1,2,0,0,0,0,0,0,2,0,1,0,1,2,1,0,0,0,0,0,1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,2,0,0,0,0,2,1,1,2,1,0,0,1,0,2,1,0,2,1,0,0,0,0,0,0,1,0,2,1,1,1,2,1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,2,0,1,1,1,2,1,0,0,0,0,0,1,2,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,2,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,2,1,0,2,0,0,0,2,0,1,1,2,0,1,0,0,0,2,1,1,0,1,0,1,0,1,1,1,1,0,1,0,0,2,0,1,1,0,0,0 1,0,1,1,0,1,0,1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,2,0,0,2,1,0,2,2,0,0,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,2,0,0,0,0,0,0,2,0,2,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,1,2,2,2,0,0,1,1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,2,1,0,0,0,0,0,0,0,0,0,2,0,0,0,2,1,1,1,0,0,1,0,2,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,1,2,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,1,2,0,1,2,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,2,1,1,1,0,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,2,0,0,0,1,0,0,1,2,0,0,1,0,1,1,1,0,1,0,2,0,1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,2,1,0,0,1,0,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,2,0,0,0,1,2,1,0,0,0,0,1,1,1,0,0,0,0,1,1,1,0,1,1,2,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,1,2,1,1,0,0,1,0,1,0,2,1,1,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,2,1,0,0,0,0,2,0,1,1,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,1,2,0,1,0,0,1,1,2,2,1,0,2,0,0,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,2,0,0,1,0,1,2,1,0,1,2,0,0,0,1,0,0,2,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,2,1,2,0,1,0,0,0,0,1,0,1,2,2,0,0,0,1,0,0,1,1,0,0,1,0,0,1,2,0,0,0,2,1,2,0,0,2,1,0,1,0,0,0,0,0,0,1,0,1,1,1,2,0,2,1,1,1,2,0,0,2,2,1,0,1,1,0,1,0,1,0,0,2,1,0,0,0,0,0,0,0,1,1,0,0,2,0,2,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,2,0,0,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,1,1,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,1,0,1,1,1,0,0,1,0,2,0,1,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,1,1,1,1,0,1,0,0,2,0,0,1,0,1,0,1,1,0,0,2,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,1,0,0,2,0,1,1,2,0,0,0,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,2,2,2,1,0,0,1,1,2,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,2,1,1,1,0,2,0,0,0,1,1,1,0,0,2,0,1,0,0,0,0,0,2,0,0,0,2,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,1,2,1,0,2,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,0,2,1,0,0,1,0,1,0,1,1,2,1,0,0,0,1,2,0,0,1,1,0,0,0,1,0,1,1,1,1,0 1,1,2,1,1,0,2,0,0,0,1,1,0,1,2,0,0,1,0,0,0,0,1,0,1,1,1,2,0,0,1,0,1,0,1,0,1,0,0,0,1,2,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,2,0,0,1,1,1,0,1,1,2,0,0,0,2,0,1,1,1,1,2,0,1,2,0,0,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,1,0,1,1,0,1,2,0,0,1,1,0,0,0,0,0,1,1,0,1,0,1,1,2,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,1,1,2,0,1,0,0,1,0,0,0,0,1,1,1,1,1,0,1,0,0,0,2,2,0,0,0,0,0,0,1,2,1,1,1,0,1,2,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,2,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,0,0,2,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,2,0,0,0,1,0,0,0,1,0,0,2,0,0,0,1,0,2,1,0,0,0,1,0,2,2,0,0,0,1,2,1,1,0,0,0,0,1,1,0,0,0,0,0,0,1,2,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,2,2,1,0,1,2,0,0,1,2,0,0,0,1,1,1,0,2,0,0,0,1,2,0,1,0,2,0,0,1,1,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0,1,1,1,1,1,0,0,1,0,2,0,0,0,0,1,2,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,1,2,0,0,0,1,0,0,0,0,0,1,1,0,0,2,1,0,0,1,0,0,0,1,0,1,0,1,0,2,2,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,1,2,0,1,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,2,0,1,0,0,0,1,0,1,0,1,1,0,0,2,0,1,0,1,0,1,2,1,0,2,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,2,0,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,2,1,1,0,1,0,1,1,0,0,1,0,2,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,1,1,0,0,1,1,0,2,2,1,1,1,1,1,0,0,2,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,2,0,2,0,2,0,1,0,2,0,0,0,0,0,1,0,0,2,1,2,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,2,0,0,2,1,0,1,0,0,0,2,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,2,0,0,0,2,1,2,0,1,1,2,0,0,0,2,1,0,0,1,0,0,1,0,0,0,2,1,1,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,1,1,0,1,0,0,0,1,0,2,0,0,1,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,2,2,0,1,0,0,1,0,0,1,0,2,0,0,0,0,1,0,0,2,0,1,1,0,2,0,1,0,0,1,1,2,1,1,0,0,2,1,1,0,0,0,2,0,0,1,0,1,0,0,1,1,1,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,2,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,2,0,0,0,1,1,0,1,0,1,1,1,0,1,0,0,0,2,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0 1,0,2,1,0,0,0,1,2,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,2,0,0,1,0,1,0,0,0,1,1,1,0,0,0,0,0,0,2,0,2,2,0,1,0,0,1,1,0,2,1,0,0,0,0,0,1,0,1,1,0,0,2,2,0,0,0,0,2,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,2,0,1,2,1,0,2,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,2,0,1,0,0,1,1,1,0,0,0,1,2,0,0,0,0,0,0,0,0,2,0,1,2,0,2,0,0,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0,1,2,1,0,2,0,0,1,0,1,0,1,1,1,0,1,0,1,0,0,2,1,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,0,1,1,1,2,1,1,2,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,2,1,0,1,1,0,2,0,0,1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,2,0,0,0,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,2,1,0,1,0,0,1,0,0,1,0,0,1,0,0,2,1,1,0,0,1,2,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,2,1,1,0,0,1,2,0,0,1,1,2,0,1,1,2,2,1,1,0,0,0,1,0,1,0,0,2,0,0,2,0,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,2,0,1,2,0,0,0,1,1,1,0,1,1,0,0,1,0,0,2,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,2,1,0,1,2,0,0,1,0,0,2,0,0,0,1,2,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,2,0,0,1,0,1,0,0,1,1,0,0,2,2,0,0,0,0,1,1,1,1,0,2,1,1,1,2,0,0,1,1,0,1,2,0,1,2,1,0,1,0,0,1,0,0,0,0,1,0,2,0,2,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,2,1,1,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,2,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,1,0,2,0,1,0,0,0,1,1,1,0,1,0,2,0,0,1,1,1,0,0,0,2,0,0,0,0,0,0,0,2,2,1,0,1,0,0,0,1,0,1,0,1,1,1,0,1,1,0,2,0,1,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,2,0,0,1,1,1,0,2,0,0,0,1,1,0,2,0,0,2,0,0,1,0,1,1,1,2,1,0,2,0,0,0,0,1,0,2,0,0,0,0,1,0,0,0,2,1,0,0,0,1,0,0,0,2,0,1,0,1,2,0,0,2,1,0,0,0,0,0,2,0,1,0,0,1,1,0,2,0,0,2,1,0,0,1,1,1,0,1,2,0,0,1,1,0,0,2,1,2,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,2,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,2,2,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,2,0,1,0,0,2,0,0,0,2,0,2,0,2,1,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,2,0,0,0,0 0,0,1,1,0,0,1,2,1,2,2,2,1,0,1,0,0,2,0,0,0,0,0,0,1,1,0,1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,2,2,0,0,0,0,1,0,0,1,1,0,1,1,1,0,2,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,2,0,2,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,2,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,1,0,2,0,2,1,2,0,0,0,0,2,0,0,1,1,0,0,1,1,0,2,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,2,0,1,1,1,0,0,0,0,0,0,1,1,0,0,2,0,2,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,2,0,1,2,1,1,0,0,1,1,0,1,0,0,0,2,0,0,0,0,0,0,1,2,1,1,0,1,1,2,2,2,1,0,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,2,1,0,0,0,0,0,2,1,2,0,0,1,0,1,0,0,0,2,0,0,0,1,0,0,1,1,0,1,0,1,1,0,0,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,2,1,1,2,1,0,0,0,0,1,0,1,0,0,2,0,0,2,0,0,1,1,1,0,0,2,2,0,0,2,1,1,1,0,0,2,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,1,2,1,0,0,2,1,0,0,1,2,0,0,0,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,2,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,2,1,0,0,0,1,1,1,2,0,1,1,0,0,1,1,1,0,1,1,0,0,2,2,0,0,0,1,1,0,1,1,1,1,2,1,0,0,1,0,0,0,1,2,0,0,1,1,0,2,1,0,0,1,1,1,0,1,2,1,0,0,1,0,2,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,2,1,0,0,0,0,0,1,2,1,0,0,1,1,0,1,0,2,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,2,0,1,1,2,1,0,1,1,0,0,1,0,1,0,0,2,0,1,0,0,0,2,1,0,1,1,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,2,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,2,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,2,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,1,2,1,0,0,0,0,2,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,1,2,1,0,0,2,0,0,0,0,0,1,1,1,0,2,0,1,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,1,1,1,0,2,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,2,1,0,0,1,0,0,0,1,1,2,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0 0,0,1,2,1,1,1,1,0,0,0,1,0,2,0,1,0,1,0,0,0,0,2,2,0,1,2,0,0,1,1,0,0,1,1,0,0,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,1,1,0,0,1,1,1,0,2,0,0,0,0,1,1,0,0,0,0,1,0,1,0,2,0,0,0,2,2,1,1,0,1,0,0,2,0,1,0,1,1,0,0,2,0,0,0,0,1,0,0,0,0,2,0,0,2,1,0,0,1,0,0,0,1,0,0,0,0,1,0,2,0,2,1,0,2,0,0,0,1,1,0,1,0,0,0,0,1,0,0,2,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,1,1,2,1,0,1,1,1,0,0,1,0,0,1,1,2,2,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,2,1,1,0,2,2,0,0,0,1,1,0,0,0,0,0,1,2,1,2,0,0,1,1,0,0,0,1,0,0,2,1,0,0,0,0,1,0,0,2,1,1,1,0,1,0,0,2,1,0,1,0,1,0,0,0,1,1,1,1,1,0,0,2,0,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,2,1,1,0,0,0,0,2,1,0,1,0,0,0,0,0,2,1,0,1,1,0,0,1,2,0,0,0,0,1,0,1,0,1,0,0,0,2,0,0,1,1,2,0,1,0,0,0,1,0,2,1,0,0,1,1,0,1,0,0,2,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,1,0,2,0,2,0,1,0,1,1,0,2,0,0,0,0,1,0,0,2,0,1,0,0,1,1,1,0,1,0,0,0,1,1,1,2,0,2,0,0,0,0,0,1,0,1,1,0,2,0,1,1,1,1,0,0,0,0,0,1,1,0,2,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,2,0,1,1,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,2,1,1,1,1,0,0,1,0,0,0,2,1,0,0,1,0,0,1,0,1,0,2,0,1,1,1,0,0,1,0,0,2,2,0,1,1,0,1,0,2,1,2,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,1,1,0,1,0,0,2,2,1,0,1,1,0,1,2,0,0,1,1,0,1,0,0,0,0,2,0,1,1,0,0,1,0,1,0,1,0,1,0,2,0,2,1,0,0,1,0,2,0,0,0,2,1,0,0,0,0,0,1,0,1,1,1,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,1,1,1,2,1,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,1,1,1,0,0,0,0,2,0,1,0,0,1,1,1,0,1,0,2,0,1,0,0,0,1,1,1,0,0,2,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,0,2,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,2,0,0,0,1,1,0,0,0,2,0,1,0,0,1,1,2,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,0,2,1,0,1,0,2,0,0,1,0,0,0,2,1,0,0,0,0,0,0,1,2,0,0,1,0,1,0,0,1,1,0,0,0,0,0,2,1,0,0,0,0,1,2,0,1,0,0,1,0,0,2,1,0,0,0,0,1,1,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,1,0 0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,2,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,2,0,0,1,2,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,2,0,0,0,1,0,2,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,2,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,1,0,0,0,2,0,2,1,0,0,0,0,1,0,0,2,0,1,1,0,1,1,0,0,0,0,0,1,0,2,1,1,1,0,1,1,1,0,2,0,1,1,0,0,1,1,2,0,0,0,0,1,0,1,2,0,2,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,1,2,1,0,1,1,1,1,0,0,1,1,0,0,2,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,0,1,1,1,2,0,1,0,0,0,0,2,0,1,1,1,1,0,0,0,1,2,1,0,1,0,2,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,2,1,1,0,1,0,1,0,0,1,0,0,1,2,0,0,0,1,0,1,1,1,1,0,0,1,2,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,2,0,1,0,0,0,0,0,0,2,1,1,2,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,2,1,1,0,0,0,1,0,0,2,1,2,0,0,2,0,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0,2,1,1,1,0,0,0,1,0,1,0,0,0,1,1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,2,2,2,0,0,0,1,2,0,0,0,2,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,2,0,0,0,1,0,2,0,0,0,1,0,1,0,1,0,1,0,2,0,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,2,0,2,1,1,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,1,1,2,1,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,2,0,1,1,0,0,0,2,0,0,0,1,0,0,0,1,1,2,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,1,1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,2,0,0,0,0,0,0,1,1,1,0,0,0,0,2,0,1,1,0,0,0,0,1,0,0,1,0,2,0,0,1,0,0,1,0,2,1,0,2,0,0,0,0,0,1,0,0,1,0,2,1,0,1,0,0,2,0,0,0,0,1,2,1,0,0,0,0,0,2,1,0,0,2,0,0,1,0,2,0,1,0,1,1,0,1,2,0,1,1,2,1,0,0,0,1,0,0,1,1,1,1,1,1,0,0,1,2,0,0,0,0,1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,2,1,2,1,0,0,1,2,1,0,1,0,1,0,1,1,1,1,2,0,1,0,1,0,0,1,1,2,0,1,0,2,0,0,0,0,1,0,1,1,0,1,1,1,2,0,1,0,0,2,2,2,1,0,0,1,1,0,2,1,0,0,0,0,1,0,0,1,0,2,1,1,1,0,1,0,0,0,1,1,1,0,0,2,0,1,2,0,1,1,1,0,1,1,1,2,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,1,0,0,1,2,1,1,0,1,0,1,1,0,2,1,1,0,0,0,0,0,1,0,1,0,0 2,0,0,1,1,0,1,0,1,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,2,0,1,2,0,2,0,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0,2,1,0,0,0,0,1,0,1,2,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,1,1,2,1,0,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,2,0,0,1,0,0,0,1,0,0,0,1,0,2,2,0,1,1,0,0,0,1,0,2,0,0,1,1,1,1,1,0,0,0,2,0,0,1,1,1,0,1,0,1,0,1,0,2,0,1,0,1,0,0,0,0,1,0,1,2,1,0,1,2,0,0,2,0,0,0,1,2,0,0,1,1,0,1,0,0,0,0,0,1,1,1,1,0,0,0,1,1,0,2,0,1,0,1,1,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,2,0,2,0,0,1,0,1,0,0,2,0,0,0,0,1,1,2,0,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,0,1,1,0,2,0,0,2,0,2,0,0,1,0,2,0,0,1,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,2,1,1,1,1,0,0,0,1,0,0,1,0,2,0,0,0,1,0,2,0,0,0,0,1,1,1,0,2,0,0,0,1,0,0,0,0,2,0,2,1,0,0,0,0,1,0,0,1,0,2,0,2,1,0,0,1,1,1,0,0,2,1,0,0,1,0,2,1,0,0,0,0,0,1,2,0,0,1,0,1,0,0,0,2,0,0,0,1,1,1,0,0,0,1,2,0,1,0,1,0,2,1,2,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,2,1,0,0,1,0,2,2,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,2,0,1,1,2,0,0,1,1,2,0,0,1,1,0,1,1,2,1,1,1,1,0,1,1,0,1,0,2,1,0,2,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,2,0,0,1,0,0,1,1,2,1,1,0,1,1,1,0,1,1,0,0,1,2,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,2,0,0,1,0,1,2,1,0,0,0,0,0,0,0,1,0,2,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,1,0,0,1,2,0,0,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,1,1,0,0,1,2,1,2,0,0,0,1,0,1,1,1,1,2,2,0,0,0,0,0,1,0,0,2,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,2,1,0,1,0,2,2,0,1,2,0,0,0,0,2,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,2,0,1,1,1,1,1,0,1,1,1,0,1,0,1,0,2,0,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,2,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,1,2,1,0,1,0,0,1,0,0,1,1,0,0,0,0,2,1,1,1,0,0,0,0,0,0,0,0,1,0,2,1,2,0,0,2,0,0,0,0,1,0,0,0,0,0,1,1,2,0,0,0,0,2,1,2,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,2,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1,2,0,0,0 0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,2,0,1,0,0,0,0,0,0,0,1,1,1,1,1,2,0,1,0,0,0,1,1,0,0,1,2,1,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,2,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,2,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,1,0,2,0,0,0,1,0,1,0,2,0,1,0,0,0,1,0,1,1,0,0,2,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,2,2,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,1,0,0,0,2,2,0,0,1,0,1,0,1,2,0,2,0,0,2,0,0,0,0,0,0,2,0,1,2,2,0,2,0,0,0,0,0,0,0,1,0,0,0,1,1,1,2,0,1,1,2,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,2,2,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,1,1,2,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,2,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0,2,1,2,1,0,1,0,0,0,0,2,1,0,0,1,1,2,0,1,0,2,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,0,2,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,2,1,0,0,0,0,2,0,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,2,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,2,1,1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0,2,1,0,0,0,2,1,1,0,1,0,1,1,0,0,2,0,0,0,2,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,2,0,0,0,1,0,2,0,2,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,2,1,0,1,1,1,1,0,0,1,2,0,0,0,0,1,0,1,1,1,2,2,0,0,1,0,0,1,0,1,0,0,0,2,0,2,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,2,0,1,1,1,0,0,1,1,2,0,1,0,0,0,1,0,0,0,1,2,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,1,1,2,1,0,1,1,0,1,1,1,0,1,2,2,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0,1,1,0,0,2,0,0,0,0,0,1,0,0,2,1,0,1,1,0,1,1,0,0,1,0,0,0,1,2,2,2,0,0,1,0,0,0,2,0,2,0,0,2,2,1,0,0,1,0,1,1,1,0,0,1,0,0,2,1,1,2,1,0,1,0,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,2,1,0,0,2,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1,1,1,0 2,0,2,1,0,0,1,1,0,1,2,1,1,2,2,0,0,2,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,2,1,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,1,1,1,2,1,1,0,0,0,0,1,0,2,1,0,1,0,0,2,2,1,1,0,0,0,0,0,0,1,0,1,2,0,1,0,0,0,1,1,1,2,0,0,1,2,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,2,1,0,1,0,2,1,1,1,0,0,0,0,0,0,0,0,1,1,2,0,1,0,2,0,0,0,0,0,2,0,0,0,2,1,1,1,0,1,1,1,1,1,0,0,1,1,0,0,2,1,2,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,2,0,0,0,0,2,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,2,0,0,0,2,0,2,1,0,0,0,0,0,0,2,1,0,0,0,2,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,1,2,0,1,0,1,1,0,0,0,0,1,0,2,1,0,0,1,0,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,1,2,1,0,1,1,1,2,1,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,2,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,2,0,2,0,1,0,0,1,0,0,1,1,0,0,1,0,2,0,1,1,0,0,0,0,0,0,1,1,1,1,1,1,0,2,0,1,1,0,0,0,0,0,2,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,1,2,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,1,1,1,0,0,0,2,1,0,0,0,1,1,0,2,0,1,1,0,1,0,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,2,0,2,0,0,0,0,0,1,2,0,1,1,0,0,0,0,0,1,1,0,0,1,1,0,2,1,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,2,0,1,1,0,0,1,0,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,2,0,0,1,1,0,0,1,0,0,0,0,0,2,0,0,1,0,1,0,0,1,1,2,0,0,0,1,1,0,2,1,0,0,0,0,0,0,2,2,1,0,0,2,0,0,2,2,1,0,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,1,0,1,2,1,0,0,1,1,1,0,1,0,1,1,1,2,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,2,0,0,0,1,0,0,1,1,1,1,1,0,0,0,1,2,2,0,0,1,1,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,2,2,0,2,0,0,0,0,0,2,0,2,0,0,0,0,0,1,1,0,1,2,2,1,0,0,0,0,2,0,1,1,0,0,0,1,1,1,0,0,1,1,1,1,2,1,1,0,0,0,1,0,2,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,2,1,1,0,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0 0,0,1,1,0,0,0,1,0,2,2,1,0,1,1,1,0,2,1,0,0,0,1,0,2,1,1,1,1,1,0,0,0,0,0,0,0,0,2,0,2,1,1,2,0,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0,2,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,2,1,0,0,2,1,1,1,0,0,1,1,0,1,2,0,0,1,1,0,0,1,0,2,0,2,0,1,2,1,0,0,0,0,0,1,0,2,1,0,0,1,0,0,0,0,0,0,1,1,0,0,1,1,2,2,1,0,0,1,2,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,2,0,0,1,1,2,1,2,0,0,0,1,1,0,0,1,2,2,1,0,1,0,1,1,0,1,0,0,2,2,1,1,0,1,0,0,2,0,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0,2,0,1,0,1,0,1,0,0,1,0,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,2,0,0,1,2,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,2,1,0,0,0,0,2,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,1,2,1,0,1,0,0,0,1,1,0,0,1,0,0,1,1,0,2,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0,1,1,1,0,2,1,0,1,0,1,0,0,0,0,1,2,0,2,2,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,2,0,1,1,0,0,0,1,1,0,2,0,0,2,0,0,0,0,1,0,1,1,0,1,2,1,0,1,1,0,0,0,1,1,1,1,0,0,2,0,0,0,1,0,1,0,0,0,0,1,0,1,1,1,0,1,1,0,1,0,0,1,1,1,1,0,1,2,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,2,0,0,0,0,2,0,0,0,2,1,0,1,1,1,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,1,1,1,1,2,0,0,0,0,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,2,1,0,0,0,0,0,0,0,1,1,1,1,0,1,2,0,1,0,1,1,1,0,0,1,1,0,1,1,1,1,0,1,2,1,0,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,2,0,0,0,0,2,0,1,0,0,2,0,0,1,0,0,0,1,1,1,1,2,2,0,0,2,1,1,0,1,2,0,0,2,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,2,0,0,1,0,0,0,0,1,2,2,0,0,0,0,1,1,1,1,0,1,2,0,0,0,1,0,1,1,2,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,0,0,0,1,0,2,1,1,1,0,0,1,0,1,1,2,2,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,2,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,2,0,2,0,1,1,1,0,0,1,1,1,2,2,2,1,0,2,0,0,1,1,0,1,0,2,0,1,1,1,2,0,2,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,2,0,1,0,1,2,0,0,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,2,0,1,1,2,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,2,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,2,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,1,0,0,0,1,2,0,0,0,0,1,0,1,1,0,1,2,0,1,0,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,1,1,0 0,0,0,1,2,0,1,1,0,0,2,0,0,0,0,1,2,1,1,0,0,0,0,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,2,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,2,0,0,0,1,1,0,1,1,0,0,1,0,1,0,2,0,0,1,0,1,1,0,0,2,0,0,1,1,2,1,0,0,0,0,0,1,2,2,0,0,1,0,1,0,0,0,2,0,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,2,2,0,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0,1,1,0,1,0,2,1,0,1,0,1,0,0,2,1,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,2,0,1,1,1,0,1,2,0,0,2,1,0,0,0,0,0,2,1,1,0,0,0,2,0,1,0,0,1,1,0,1,0,1,2,0,1,0,0,1,2,0,1,0,0,2,1,0,0,1,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,1,1,0,0,0,1,2,0,0,0,0,1,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,1,0,0,1,1,1,0,0,0,0,2,0,0,0,0,1,0,0,1,0,2,1,0,0,1,0,0,0,0,1,0,2,1,0,0,0,0,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0,2,0,2,1,0,0,0,0,0,1,1,0,1,0,0,0,0,2,1,2,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,1,1,0,1,0,1,1,0,2,0,2,1,0,0,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,2,0,0,0,0,1,2,0,0,1,2,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,2,0,2,2,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,2,1,2,1,1,2,0,1,1,0,0,0,2,1,1,1,0,1,1,0,1,1,1,2,0,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,1,1,0,0,2,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,1,1,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,1,1,1,0,2,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,0,0,2,1,0,0,0,1,0,1,1,0,1,0,1,0,1,1,2,1,0,0,0,0,2,0,0,1,1,0,1,0,0,1,0,1,2,1,0,2,1,0,0,0,0,2,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0,2,0,0,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,2,1,1,0,1,0,0,2,1,1,0,0,1,2,2,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,2,0,1,0,1,2,1,1,0,0,0,2,0,0,0,2,0,0,0,0,2,0,0,0,0,0,1,1,2,0,1,0,0,0,1,1,2,0,0,1,0,1,0,0,0,0,0,0,0,0,1,2,2,0,0,0,0,1,0,0,2,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,1,1,2,0,1,1,1,1,0,0,0,0,0,1,1,0,2,0 1,0,2,0,0,1,1,2,2,0,1,0,0,1,2,1,0,1,1,0,1,0,0,0,1,0,2,1,0,0,1,0,1,0,0,0,0,1,0,0,0,2,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,2,0,0,0,0,1,0,1,0,2,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,0,2,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,1,1,1,2,0,1,1,1,1,0,0,0,1,1,1,0,1,0,0,1,1,0,2,2,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,2,1,0,0,0,0,0,0,1,0,1,0,1,1,0,1,2,0,1,0,2,0,1,1,0,1,0,0,2,1,1,0,0,1,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,1,1,0,1,0,1,0,2,2,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,2,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,0,1,1,0,1,1,2,0,1,0,1,1,0,0,2,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,1,1,0,2,1,1,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,0,2,1,0,0,1,1,0,0,0,0,0,1,0,2,0,1,0,1,0,0,2,0,1,1,1,1,0,2,0,0,1,0,0,1,1,0,1,0,0,1,0,0,2,1,1,1,0,0,0,2,0,0,0,0,1,1,2,1,1,1,0,0,1,0,0,0,0,1,2,1,0,1,0,1,0,1,0,0,1,2,0,1,1,1,1,0,0,0,2,0,0,2,0,2,0,0,0,1,2,1,1,1,0,0,1,0,1,2,0,0,1,0,0,1,0,2,1,0,0,0,0,1,2,2,2,0,0,0,1,0,0,1,0,0,1,1,0,2,0,0,1,0,0,0,2,0,0,0,2,1,0,1,0,1,0,2,1,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,1,1,1,2,1,1,0,0,1,0,1,1,1,0,0,1,0,2,1,1,0,0,1,0,0,1,1,0,1,1,0,2,0,0,0,0,2,1,1,2,0,0,0,0,2,0,1,0,1,1,1,1,1,2,1,2,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,2,0,0,0,0,0,0,1,0,0,1,0,1,2,0,0,0,0,0,0,1,0,0,1,0,0,1,2,0,0,1,2,0,1,0,0,0,1,0,0,1,1,0,2,1,2,1,2,0,1,1,0,0,1,0,0,2,0,0,1,2,0,1,0,1,2,0,0,1,0,0,0,2,0,1,1,0,0,0,0,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,0,1,0,0,0,1,0,2,0,0,1,0,0,0,1,0,1,0,2,1,0,1,0,1,1,1,1,1,0,2,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,2,0,1,1,1,2,1,0,0,1,1,0,1,0,1,1,1,1,0,0,2,0,0,2,2,1,0,0,0,1,2,0,0,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,2,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0,1,0,0,2,1,0,2,0,1,0,0,1,0,1,0,1,0,2,0,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,2,0,0,0,1,0,0,1,0,1,1,0,0,1,2,0,2,0,1,1,0,0,0,2,0,0,0,0,0,1,0,0,0,0,1,2,1,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,2,1,1,2,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0 0,0,1,1,1,0,1,1,1,1,2,2,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,2,0,2,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,2,0,1,0,0,2,0,1,0,1,0,2,0,0,0,0,0,2,2,0,0,0,0,1,1,2,1,0,0,0,0,1,0,2,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,2,2,0,2,1,1,1,1,0,0,0,0,0,0,1,2,1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,2,0,2,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,0,2,1,0,1,1,1,0,0,0,0,1,1,2,1,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,2,0,0,2,2,1,0,1,1,0,0,1,0,0,0,0,2,0,0,1,0,1,2,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,2,1,1,1,1,1,0,1,0,0,2,0,0,1,0,1,1,2,1,2,1,0,0,0,0,0,1,0,0,1,2,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,1,0,2,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,2,0,1,0,1,0,0,1,1,0,1,0,1,1,1,1,1,2,1,0,0,2,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,2,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,2,0,0,1,0,2,0,0,0,1,0,2,0,2,1,0,1,1,0,2,2,0,1,0,1,0,0,1,1,0,1,2,1,0,0,0,0,1,0,0,0,1,2,0,0,1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,2,0,1,1,0,0,0,0,0,0,1,2,1,1,1,1,0,0,2,0,0,0,1,1,2,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,1,2,1,0,0,0,0,1,1,1,0,0,1,1,0,0,0,2,0,1,0,1,0,1,0,1,0,0,1,1,1,2,1,0,0,1,2,0,0,0,0,0,0,2,1,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,1,2,1,1,1,0,1,2,0,1,0,1,1,1,2,1,2,0,1,1,0,0,0,1,0,1,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,2,1,0,0,2,1,1,1,1,1,0,0,0,0,0,0,0,0,2,1,0,2,0,1,1,1,0,0,0,2,0,0,1,1,0,1,0,1,2,0,1,0,1,1,0,1,0,1,0,0,0,2,0,1,0,0,1,0,1,0,0,1,1,2,2,0,0,0,2,0,1,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,1,1,1,2,0,0,1,0,0,0,0,0,2,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0,2,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,1,2,2,0,1,1,1,0,0,1,1,1,2,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,1,2,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,2,1,0,1,0,1,0,2,1,0,0,1,1,1,0,0,2,0,2,2,1,0,0,0,0,1,0,0,0,0,1,0,1,0,2,0,0,1,0,0,1,2,1,1,0,0,1,1,2,1,2,1,0,0,1,1,0,0,0,0,0,2,1,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,2,0,1,1,0,1,0,0,2,1,1,2,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0 0,0,0,2,0,1,2,0,0,0,2,0,2,2,1,0,0,1,1,0,0,0,1,1,1,1,2,1,0,0,1,0,1,1,0,0,1,1,0,1,0,2,1,2,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,1,2,1,0,0,1,1,0,1,0,2,0,0,1,0,0,0,0,0,0,0,1,1,0,1,2,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,2,0,1,0,1,0,0,0,1,1,1,2,0,2,0,0,0,0,0,2,1,0,1,0,2,0,0,1,0,0,0,1,2,0,0,0,1,0,2,0,0,0,0,1,0,2,1,0,0,0,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,1,1,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,1,2,0,0,0,0,0,2,1,0,0,0,1,1,0,2,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,2,0,0,0,1,1,1,1,1,1,2,1,0,1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0,2,0,0,0,1,0,1,1,2,1,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,1,2,0,1,1,0,1,0,1,0,2,1,1,0,1,0,1,1,0,1,1,1,0,0,0,2,1,1,1,2,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,2,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,2,0,0,1,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,0,0,1,1,0,2,0,1,1,0,1,0,2,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,1,1,1,0,1,0,0,0,1,0,2,1,1,1,0,0,2,2,1,0,1,1,1,1,0,2,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,2,2,0,0,0,1,0,0,1,2,0,0,1,0,0,0,1,1,1,0,0,1,0,1,0,2,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,2,0,1,1,1,1,1,0,0,0,1,0,2,0,1,0,1,0,2,0,0,1,2,0,0,1,0,1,1,0,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,1,0,2,1,2,0,0,0,1,1,0,2,0,1,1,0,1,1,1,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,0,1,1,1,1,2,1,0,1,0,0,0,2,0,2,0,0,1,1,2,0,0,0,0,0,1,0,0,1,2,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,1,2,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,2,0,0,1,0,0,0,1,0,1,0,1,1,2,0,1,0,0,0,1,0,0,0,0,1,0,1,0,1,0,2,1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,2,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,2,2,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0 1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,2,0,1,1,0,0,0,2,0,2,0,0,0,2,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,1,2,1,0,0,0,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,2,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,1,2,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,1,1,0,0,1,0,0,2,0,0,0,1,0,1,0,2,1,0,2,1,1,0,1,0,0,0,1,1,1,0,1,2,0,0,0,0,0,0,2,0,0,0,1,0,2,0,0,0,1,0,1,0,0,2,1,1,2,1,0,1,0,0,1,2,1,1,1,0,1,1,1,1,0,0,0,2,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,1,0,0,2,1,0,2,1,0,1,1,0,1,1,0,2,0,0,0,1,0,0,1,2,2,1,1,2,1,1,0,0,1,0,2,0,0,1,1,0,0,0,0,1,1,0,2,2,0,0,0,0,2,0,0,2,1,1,0,0,0,0,1,2,1,0,0,1,1,0,0,1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,2,1,1,0,0,0,0,1,0,0,0,1,1,0,1,0,1,2,2,1,1,0,0,1,0,1,1,0,0,2,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,2,2,1,0,0,0,0,1,1,2,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,1,1,1,0,1,0,0,2,1,2,0,1,0,1,0,0,2,2,0,1,1,0,0,2,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,2,1,1,1,0,0,0,0,1,0,0,0,2,0,1,2,0,0,0,2,0,0,2,1,0,0,1,0,0,0,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,2,0,0,1,1,0,1,0,1,1,0,0,0,0,1,2,0,1,0,0,0,1,1,2,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,1,1,0,1,2,0,0,0,0,1,0,0,0,2,0,0,1,0,1,0,1,0,1,1,1,0,0,1,1,1,2,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,2,0,1,2,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,2,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,2,1,2,2,0,1,0,0,2,0,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,2,0,1,2,0,2,0,1,0,1,0,0,0,0,1,0,2,1,0,2,1,0,0,0,0,0,0,2,1,2,0,1,0,1,1,0,0,0,2,1,0,0,1,0,0,0,1,0,1,0,1,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,1,0,1,0,0,0,1,0,0,0,2,2,0,0,1,0,0,0,0,0,2,1,0,0,2,2,1,1,2,1,2,0,0,0,2,1,1,2,1,1,0,0,0,0,0,0,0,0,0,0 0,0,1,0,0,2,0,1,0,1,1,1,0,1,2,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,2,1,0,0,0,0,0,0,1,2,0,0,1,1,0,1,1,2,2,0,0,0,0,0,2,0,2,2,1,0,0,2,2,0,1,1,0,0,0,0,0,0,1,0,2,1,0,0,1,0,0,1,0,0,2,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,2,0,1,0,0,1,0,0,0,0,1,0,2,0,0,0,2,0,0,0,0,1,0,0,0,0,1,1,2,0,1,1,1,0,0,1,0,0,0,0,1,2,1,2,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,2,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,2,2,0,0,0,0,0,2,1,2,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,1,2,2,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,1,1,2,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,1,1,1,0,0,0,1,2,2,0,0,2,0,0,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,0,0,1,1,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,2,1,1,1,0,1,1,1,0,0,1,0,1,1,0,1,0,1,2,0,0,2,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,2,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,1,2,1,1,1,1,0,1,0,0,2,1,1,1,0,0,1,1,0,0,0,0,1,0,0,2,0,1,2,1,0,0,1,0,1,1,0,0,2,0,0,0,2,0,2,0,1,0,0,0,0,0,0,2,1,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,2,0,1,0,0,0,1,2,2,0,0,0,0,0,1,2,1,0,0,1,0,0,2,1,0,1,0,0,1,0,0,1,0,0,0,1,1,2,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,1,2,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,1,1,2,0,2,1,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,2,0,2,0,2,0,1,0,0,2,1,1,0,2,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,2,1,1,1,1,1,1,1,0,1,1,2,1,0,1,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,1,1,2,0,1,1,0,1,1,0,2,0,0,1,1,1,0,1,1,1,0,0,1,1,0,2,1,0,1,1,0,0,0,1,1,1,1,1,0,1,1,1,0,1,2,0,2,0,2,0,1,2,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,2,1,2,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,1,1,0,1,0,1,0,1,2,2,0,1,0,2,1,1,2,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0,1,1,1,1,1,0,0,0,1,1,2,1,1,0,0,0,1,0,0,0,0,0,2,0,2,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,2,1,1,0,0,0,0,1,2,0,0,0,0,0,0,1,1,2,1,0,1,1,2,0,0,0,0,1,1,0,0,0,0,2,1,0,2,0 0,0,2,0,0,0,0,1,1,2,2,0,0,1,1,1,0,2,0,0,0,0,0,0,0,0,2,2,1,2,2,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,1,1,2,2,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,2,2,1,0,1,0,0,0,1,0,0,2,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,2,0,1,1,2,0,0,0,2,0,0,1,1,0,1,0,0,1,2,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,2,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,1,0,2,0,0,0,0,2,1,1,1,0,0,1,2,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,2,2,0,0,1,2,0,0,1,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,2,2,0,1,0,0,2,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,2,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,2,1,0,0,2,0,1,2,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,1,2,1,0,0,1,1,1,0,2,0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,2,0,1,1,0,1,0,0,1,0,2,0,0,0,0,0,1,0,1,1,1,0,1,1,2,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,2,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,2,0,0,0,1,1,1,0,0,0,0,0,2,0,1,0,2,1,0,0,1,0,1,0,1,0,0,0,0,0,1,0,2,0,1,2,2,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,2,1,1,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,2,0,1,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,2,1,0,0,0,0,2,1,0,1,0,2,1,0,1,0,2,2,0,2,0,1,0,2,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,2,1,1,0,0,1,1,2,0,0,0,0,2,0,1,1,0,1,0,1,0,1,1,0,1,2,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,2,0,2,1,0,1,2,0,0,0,0,0,1,1,1,0,1,1,0,1,1,1,1,1,0,2,0,0,0,1,1,1,0,2,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,2,1,2,0,0,0,1,0,1,2,0,1,0,1,1,2,0,0,1,2,0,0,0,2,0,0,0,1,1,0,1,0,0,0,1,0,1,2,0,1,0,1,1,2,1,0,0,2,1,1,0,0,0,1,1,2,0,0,0,0,0,0,2,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,2,1,0,0,0,1,0,2,1,0,2,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,1,2,0,0,1,1,0,2,2,1,0,0,0,2,0,1,1,2,1,1,0,0,1,1,2,0,1,2,0,0,0,1,1,1,2,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,0,1,0,0,2,0,0,1,0,0,0,0,0,0,1,0,1,0,2,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,2,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,1,2,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0 1,0,1,1,1,0,0,0,1,2,0,2,1,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,2,0,0,1,1,1,0,1,0,1,0,1,0,1,2,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,2,1,0,0,2,1,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,1,2,0,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,2,0,0,2,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,2,0,2,0,0,1,0,1,0,0,2,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,1,1,0,2,1,0,0,1,2,0,0,1,2,0,0,1,1,1,0,0,1,0,0,0,1,2,1,2,0,2,0,1,0,2,0,0,0,1,0,0,1,1,0,0,2,0,0,2,2,0,1,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,2,2,1,0,1,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,1,2,0,0,0,0,0,1,2,0,0,0,0,0,2,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,2,0,1,0,0,1,1,2,0,2,1,0,1,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0,2,0,0,0,0,0,2,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,2,1,1,2,1,1,2,0,0,0,1,1,0,1,1,1,0,1,0,1,0,2,0,0,0,0,0,1,1,0,1,2,1,1,0,0,1,1,0,2,1,1,2,1,0,2,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,1,0,2,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,2,1,0,0,2,0,0,0,0,1,0,1,0,1,0,2,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,2,1,0,0,0,1,1,2,2,0,0,0,0,1,0,2,0,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,1,1,2,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,1,0,1,0,2,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,2,0,0,1,0,0,1,0,1,0,1,0,2,1,2,1,0,0,1,0,2,0,1,1,0,1,2,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,1,2,0,1,0,0,1,0,0,2,1,0,1,2,1,0,1,0,0,1,0,2,1,1,2,1,0,0,1,1,2,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,2,0,2,0,1,1,2,0,2,0,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,1,2,2,1,0,2,1,0,1,0,1,1,1,0,0,0,2,1,0,0,1,1,0,1,0,0,1,1,0,0,1,1,0,2,1,1,0,0,0,1,2,1,0,0,0,1,1,1,1,1,1,0,1,2,0,2,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,2,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,2,1,0,0,0,1,0,1,0,2,0,1,0,0,0,1,0,0,0,0,0,1,0,1,2,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0,2,1,0,0,0,0,0,1,1,1,0,0,2,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0,2,0,2,1,0,0,0 0,0,0,1,1,0,0,1,0,1,2,0,0,2,0,0,0,0,1,0,0,2,0,0,1,0,1,0,0,1,0,0,1,1,1,0,0,1,1,1,1,1,0,1,0,2,0,2,0,0,2,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,1,1,1,0,0,0,1,0,2,0,0,0,2,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,2,0,0,1,0,0,0,0,1,0,2,0,0,0,0,1,0,0,0,0,2,0,1,0,1,0,1,1,2,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,2,1,1,2,1,1,1,0,0,0,0,1,0,1,0,1,1,2,0,1,0,1,0,1,2,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,1,2,0,0,1,0,0,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,2,0,0,2,0,1,1,1,1,2,0,0,0,0,1,2,0,0,0,0,1,1,1,1,0,0,0,1,2,0,0,1,0,1,1,1,0,1,0,2,1,0,0,0,0,0,1,1,0,1,2,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,2,0,0,1,2,1,0,2,1,0,0,0,1,0,1,1,1,0,0,0,0,2,1,1,1,2,0,0,1,0,2,0,0,0,0,2,0,0,1,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,2,1,0,0,0,1,0,2,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,2,1,1,1,0,2,1,1,1,0,1,0,1,1,1,0,1,0,2,0,1,1,0,2,0,1,0,0,0,1,1,0,0,1,0,0,2,1,0,0,1,1,1,0,1,0,0,0,0,0,0,1,1,1,0,2,2,1,0,1,0,0,0,1,0,1,0,2,2,1,1,1,0,0,0,1,0,0,1,2,0,0,2,1,0,1,0,1,0,1,1,0,1,1,1,1,1,0,1,1,1,0,2,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,2,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,2,0,0,1,0,0,2,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,1,2,0,0,2,0,0,0,2,0,1,0,1,1,1,0,0,1,0,1,1,0,0,2,2,0,1,1,0,0,1,0,0,0,0,0,0,2,0,0,0,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0,1,0,1,1,1,0,0,2,1,0,2,2,0,1,1,0,2,1,2,1,0,0,1,0,1,0,1,2,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,2,0,1,1,0,1,0,1,1,0,1,0,1,2,1,1,0,1,2,2,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,1,1,0,2,2,0,0,0,0,0,1,0,0,1,0,2,1,0,0,0,0,1,1,1,1,0,2,2,0,1,0,0,1,1,1,0,1,1,2,0,1,1,1,0,0,1,0,0,1,0,1,2,0,0,1,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,2,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,0,2,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,2,0,0,2,0,0,1,0,2,1,0,0,0,0,1,1,1,0,1,2,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,2,0,1,2,0,0,0,0,0,2,0,0,0,1,1,1,1,1,1,1,1,0,0,2,0,0,0,0,1,0,0,0,1,0,1,2,0,0,0 0,0,1,2,0,1,0,0,0,0,0,0,1,0,1,0,0,2,1,0,0,0,1,1,0,1,1,0,0,0,2,0,1,2,1,0,2,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,2,2,0,0,0,1,0,2,0,1,2,0,2,0,2,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,1,1,0,0,0,0,0,2,0,1,1,1,0,2,1,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,2,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,1,2,1,0,2,1,0,1,0,1,0,1,0,0,1,0,2,1,0,0,0,0,2,1,2,1,1,0,2,1,1,2,2,0,0,1,0,1,0,0,1,0,0,0,1,1,1,1,0,1,1,1,0,0,0,0,1,2,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,2,0,1,0,2,1,0,0,0,1,0,0,0,0,0,0,1,1,0,2,0,2,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,2,1,0,1,0,1,0,0,0,1,2,0,0,0,0,1,0,2,1,0,0,0,1,0,1,0,0,1,0,0,0,2,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,2,0,0,2,0,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,2,1,1,0,0,0,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,2,0,0,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,2,1,1,0,1,0,2,2,0,0,0,0,0,1,2,1,1,0,0,1,0,0,2,0,2,0,1,1,0,0,0,0,2,2,1,0,0,0,2,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0,0,0,1,1,1,0,2,1,1,0,2,0,1,2,1,0,0,0,1,0,0,1,2,0,1,2,1,2,1,0,0,0,0,0,2,2,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0,2,0,1,2,0,0,0,0,0,0,1,0,1,0,1,2,1,0,2,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,1,2,1,1,2,0,1,0,1,1,0,0,0,1,1,1,2,1,1,1,2,1,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,1,1,0,0,2,0,1,1,0,0,1,0,0,1,2,0,1,1,2,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,2,0,0,1,0,2,2,1,0,1,1,1,0,2,1,1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,2,0,0,1,1,0,1,0,0,0,1,2,1,0,1,2,2,0,2,0,0,1,1,2,1,0,0,1,0,0,1,1,1,1,1,1,1,0,0,1,1,0,0,2,1,0,0,0,0,0,0,2,1,1,1,2,0,1,0,0,0,2,0,0,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,2,0,1,0,0,0,0,1,1,0,1,2,0,0,1,0,1,0,0,1,0,2,1,2,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,2,1,0,1,0,0,0,1,0,1,1,0,0,0,1,0,2,0,0,0,1,0,1,1,0,1,0,1,1,2,0,0,2,2,0,0,1,0,0,1,2,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,2,2,1,0,1,0,0,1,0,1,1,0,0,1,0,0,1,1,1,0,1,0,1,1,0,0,0,2,0,1,0,0,2,0,0,0,2,1,0,0,0,1,0,0,1,0,1,1,0,0,2,1,0,2,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,1,0 0,0,2,1,0,0,1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,1,2,0,1,0,0,2,1,2,1,1,0,2,1,0,0,0,1,0,1,1,0,0,2,0,0,2,0,0,0,2,1,1,0,2,1,1,0,0,0,0,0,1,1,2,1,0,0,2,0,0,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,2,0,0,2,0,1,2,1,0,0,1,1,1,0,0,1,0,0,0,0,0,2,0,2,2,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,2,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,0,2,0,0,2,1,0,0,0,0,0,1,1,0,0,1,0,0,2,0,0,1,2,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,2,0,1,0,0,1,1,2,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,2,1,1,2,1,0,0,0,1,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,2,0,1,0,1,0,0,1,0,0,0,1,1,2,0,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,2,2,0,0,1,2,0,0,0,2,0,2,1,1,0,0,0,0,2,0,0,0,2,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,1,2,1,1,0,0,0,0,2,1,0,0,2,0,0,1,2,0,2,0,0,1,0,0,1,1,2,1,0,0,1,1,1,0,0,2,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,2,0,2,0,1,0,2,0,1,0,0,0,2,0,0,2,0,0,1,1,0,0,2,0,0,1,1,0,0,0,0,1,1,0,2,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,1,1,0,2,1,0,1,1,0,0,0,2,0,0,1,0,0,0,1,2,0,1,0,0,0,1,0,2,2,2,2,1,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,2,1,0,1,0,0,0,1,0,0,0,0,0,2,0,0,1,1,0,1,0,0,0,1,2,0,2,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,2,0,2,0,0,0,0,2,0,2,0,1,1,1,0,0,2,1,1,0,1,1,0,1,0,2,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,1,0,2,0,1,0,0,1,1,0,0,1,0,0,0,1,0,1,0,1,0,2,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0,0,1,2,1,1,2,1,2,0,0,0,1,0,2,1,1,1,1,0,1,1,0,1,2,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,2,1,0,0,0,1,0,0,1,1,2,1,0,0,1,0,0,1,1,1,2,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,2,0,1,0,1,1,0,1,1,1,0,0,1,1,1,1,1,1,0,1,2,1,1,0,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,2,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,1,2,0,2,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0 1,0,2,1,0,0,0,0,0,0,0,0,0,1,1,2,0,1,1,0,0,0,2,0,0,0,1,1,0,0,1,0,1,0,0,0,2,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,2,0,0,1,1,1,2,0,0,2,0,1,1,2,0,1,1,1,0,1,0,0,2,1,0,0,0,0,0,2,1,0,1,0,0,1,2,0,0,0,1,1,1,0,0,0,0,2,1,1,2,1,0,0,0,2,0,1,0,1,0,1,0,1,2,1,0,1,1,0,0,0,1,1,2,0,1,1,1,0,0,0,0,0,1,1,2,0,0,0,0,1,0,2,0,0,1,0,1,0,0,0,0,0,1,2,1,1,1,0,0,0,2,1,0,1,1,2,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,2,0,1,2,0,0,1,0,0,0,1,1,0,1,2,1,2,2,0,1,0,0,2,1,0,0,1,1,1,1,1,0,0,0,1,0,0,2,0,0,1,1,0,2,0,0,0,1,0,2,1,1,2,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,2,1,0,1,0,0,1,0,0,2,1,0,1,0,2,1,2,2,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,2,1,0,0,0,0,0,0,1,2,0,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,2,0,0,0,0,2,2,1,0,1,0,0,0,2,1,0,1,2,0,2,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,1,0,0,1,1,1,1,1,2,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,2,1,1,1,0,0,2,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0,2,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,2,0,0,0,1,2,1,1,0,0,0,1,1,1,0,1,0,0,0,0,2,1,0,0,0,0,2,0,0,0,1,0,0,2,2,0,0,0,0,0,1,1,1,1,1,0,0,2,0,1,2,1,1,1,0,0,1,0,2,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,2,1,0,0,1,0,1,1,0,0,2,0,0,2,1,1,2,2,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,0,0,1,2,2,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,1,0,2,2,1,0,0,1,0,0,0,1,1,1,0,1,1,0,1,1,2,1,2,0,2,0,0,0,0,0,2,0,0,0,0,2,1,2,0,1,0,0,0,1,1,2,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,2,1,0,1,1,0,2,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,2,0,1,2,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,1,1,0,2,0,0,0,1,1,1,0,1,1,2,1,1,1,0,0,0,0,0,0,0,0,1,1,0,1,1,1,0,1,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,0,1,1,0,0,0,0,1,1,1,0,0,2,1,0,0,2,1,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0,0,2,0,0,2,0,0,0,1,0,0,0,0,1,0,2,1,1,1,1,0,1,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,1,2,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,2,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,1,0,1,1,1,0,1,2,1,2,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0 1,0,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,1,1,1,0,0,1,2,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,2,0,1,0,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,2,2,1,1,2,0,0,0,1,1,0,1,0,1,0,0,2,0,0,1,0,0,0,1,1,0,0,1,2,2,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1,0,2,0,2,0,0,1,0,2,1,1,1,1,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,2,0,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0,2,2,0,1,2,0,1,0,2,1,1,1,0,0,0,0,0,2,1,1,0,0,0,0,1,0,0,2,1,0,0,1,0,0,0,0,0,0,0,2,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,2,1,0,1,0,0,1,1,1,1,1,1,1,0,0,1,0,2,0,0,1,1,0,0,2,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,1,0,0,1,0,0,1,1,0,0,0,2,1,1,1,0,0,0,1,1,2,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,1,2,1,0,0,1,0,2,0,2,0,1,1,0,0,1,2,1,0,0,0,1,0,0,1,0,0,1,1,1,0,1,0,1,2,1,1,1,0,0,2,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,2,0,0,2,0,1,2,0,1,1,1,2,0,1,0,1,2,1,1,0,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,2,0,0,1,1,1,0,1,2,0,0,0,1,1,1,0,0,0,0,0,2,0,0,0,0,2,0,1,1,0,1,1,1,1,0,1,0,0,0,2,0,0,1,0,0,1,0,0,1,0,0,2,0,0,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,2,1,1,0,0,1,0,0,2,1,0,0,0,0,0,0,0,2,2,0,1,0,0,2,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,2,0,0,1,1,1,0,1,0,2,0,0,0,1,0,0,0,0,1,2,1,1,0,1,0,2,1,0,0,0,0,0,0,0,1,0,0,0,1,0,2,1,2,0,2,1,1,1,1,0,2,0,1,1,1,0,1,0,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,2,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,1,1,2,1,0,0,1,0,1,0,0,0,0,0,0,2,0,2,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,2,0,2,0,0,0,1,0,0,0,0,2,0,2,0,1,1,2,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,1,0,0,0,0,1,0,2,0,0,0,1,1,0,2,1,1,0,0,1,0,1,2,0,1,1,1,0,0,1,1,0,2,0,2,1,1,1,0,1,2,0,0,1,1,0,0,2,0,0,1,1,1,0,0,2,0,0,1,1,0,0,0,1,1,1,0,0,2,1,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,2,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,2,1,0,1,0,1,2,2,0,1,0,0,0,0,1,1,0,1,1,0,0,1,2,0,1,1,0,0,0,1,0,1,0,1,1,0,0,0,1,0,1,2,1,1,0 1,0,0,1,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,1,2,2,0,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,1,0,2,0,1,1,1,2,0,2,2,0,1,1,2,0,0,0,0,2,1,0,0,2,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,2,0,1,0,0,0,2,1,1,0,1,0,1,0,1,1,1,1,2,0,0,0,0,0,1,2,1,1,1,2,2,0,0,0,0,2,0,1,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,1,2,0,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,2,0,1,0,0,0,0,0,0,0,2,1,1,1,0,1,1,0,2,0,0,1,1,2,1,1,0,1,0,0,1,0,0,1,1,1,1,0,2,0,0,0,1,1,0,1,1,1,0,0,1,0,2,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0,2,1,0,0,0,0,0,1,0,1,0,1,2,1,1,1,0,1,0,0,2,0,0,1,0,1,2,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0,2,0,0,0,2,0,0,1,0,1,0,0,1,1,2,1,1,1,2,0,2,0,1,1,0,0,2,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,1,1,0,1,2,1,2,0,0,0,0,1,1,0,0,0,1,1,0,2,1,0,1,0,1,1,0,1,0,1,1,2,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,2,2,0,0,1,0,1,0,2,0,0,0,1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,2,1,0,2,0,0,0,2,0,0,1,2,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,2,2,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,1,1,2,1,0,1,1,1,1,1,0,1,0,0,0,0,1,2,2,0,0,1,0,2,2,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,2,0,0,2,0,0,0,1,0,0,0,1,1,2,0,1,1,0,1,2,0,1,0,1,0,2,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,2,0,1,0,1,1,2,0,1,0,0,0,2,0,0,0,0,2,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,1,1,0,0,1,0,2,0,0,0,1,0,0,1,1,1,0,0,2,1,0,1,0,0,1,0,0,0,2,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,2,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,1,1,1,1,1,2,0,1,1,1,2,1,1,1,0,1,2,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,2,0,0,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,1,0,2,2,2,0,0,1,0,0,1,2,0,1,1,0,0,1,0,1,0,0,2,0,0,0,0,2,1,1,1,0,0,0,1,2,0,1,1,0,0,1,2,0,1,1,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,2,0,0,1,0,1,1,0,0,0,0,1,2,0,1,0,0,1,1,0,0,2,0,0,1,0,0,1,0,0,1,1,0,1,0,1,2,2,1,0,0,1,0,0,1,1,1,1,0,0,1,0,1,1,1,1,0 0,0,0,2,1,0,1,1,1,2,0,0,0,0,0,1,0,1,2,0,0,1,0,0,0,2,1,2,1,0,1,0,0,0,0,0,1,1,2,0,1,2,1,1,1,1,1,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,1,1,0,0,1,2,0,0,1,0,2,0,0,0,1,1,0,1,0,1,1,0,2,2,0,1,0,1,0,0,0,2,2,1,2,0,0,0,1,2,1,0,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,1,0,2,0,1,1,0,1,1,0,0,0,2,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,2,0,0,1,0,0,0,1,0,1,1,1,2,1,0,1,1,0,0,1,1,0,2,0,0,1,2,1,0,0,0,1,0,0,1,0,2,1,1,0,1,0,0,0,1,1,0,0,0,0,0,2,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,2,1,0,0,0,1,1,2,0,1,0,0,0,2,0,0,1,0,0,2,1,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,2,1,1,1,1,0,0,1,0,2,0,0,2,0,0,0,1,1,0,0,1,0,2,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,2,1,0,2,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,2,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,0,1,2,1,2,0,0,0,1,0,1,1,2,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,2,0,0,0,0,1,1,2,0,0,0,1,2,0,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,2,0,0,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0,2,0,1,2,1,1,0,0,2,1,1,0,1,0,0,0,2,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,0,1,2,1,1,0,0,2,0,0,0,0,1,0,1,1,1,0,1,2,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,1,2,0,1,2,1,0,0,2,0,2,0,0,1,0,1,0,2,1,0,0,0,0,2,0,0,0,1,1,2,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,1,1,0,2,1,0,0,1,0,1,0,1,0,2,0,2,0,2,0,0,0,1,2,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,0,0,1,1,2,0,1,0,1,0,2,0,1,2,0,1,0,0,2,0,1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,2,1,1,1,2,1,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,1,1,2,0,0,1,1,1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,2,0,0,1,0,0,0,2,1,0,0,0,1,1,0,1,1,2,1,0,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,2,0,1,0,0,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,2,0,0,0,2,0,1,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,2,0,1,2,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,2,0,0,0,1,0,0,1,1,0,0,1,1,0,1,2,1,0,0,0,0,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,2,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0 2,0,1,2,0,0,0,2,0,0,0,1,1,1,2,1,0,1,0,0,0,0,2,2,1,1,0,1,0,0,2,0,0,1,0,0,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,2,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,2,1,2,0,1,1,0,0,0,0,1,2,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,2,2,0,0,1,0,2,0,1,0,0,0,1,0,1,1,2,1,0,1,0,0,0,0,2,2,0,1,1,0,2,0,0,1,0,1,1,0,1,0,1,0,1,2,2,0,0,2,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,0,1,0,0,1,1,2,0,1,0,0,1,1,2,0,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,0,1,1,0,1,0,2,2,1,1,0,0,0,0,0,0,0,2,1,1,1,0,1,0,2,0,1,1,2,0,1,1,1,1,0,0,0,1,1,0,1,1,0,0,1,2,1,1,0,0,1,0,0,0,0,0,2,0,0,0,0,1,2,1,2,0,0,0,0,2,1,2,1,0,0,1,1,0,1,1,0,1,1,0,1,2,2,0,0,1,1,2,0,0,0,2,0,0,2,0,0,2,0,2,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,2,0,0,0,2,0,1,0,2,2,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,2,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,2,1,0,0,0,1,1,0,1,1,2,1,2,0,1,0,1,1,0,1,0,2,0,1,0,2,0,0,0,1,0,2,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,2,1,0,2,0,0,1,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,2,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0,1,2,2,0,0,1,1,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,2,0,1,2,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,1,1,2,1,0,1,0,2,0,0,0,1,0,1,0,0,1,0,0,0,2,0,0,0,0,1,1,1,0,1,1,1,1,1,0,2,0,0,1,1,0,1,0,1,1,0,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,2,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,1,1,1,0,1,1,0,2,1,1,0,0,1,1,1,0,1,0,2,1,1,0,2,0,1,0,0,0,1,1,0,1,0,2,0,1,0,0,0,2,1,1,0,0,2,1,1,2,1,0,2,1,0,0,0,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,1,1,1,0,1,0,1,1,0,0,1,2,1,0,1,0,0,0,0,0,0,2,1,1,2,0,1,0,0,0,0,1,0,0,0,1,1,2,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,2,2,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,2,0,2,0,0,1,0,1,1,0,0,0,0,1,2,2,0,0,2,0,1,1,0,0,1,0,0,2,0,0,0,2,0,0,0,0,0,1,1,2,0,0,0,0,0,2,0,1,1,0,1,1,2,1,1,0,0,1,0,1,1,1,2,0,0,0,0,0,0,0,0,0,1,1,0 0,0,1,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,1,0,2,0,1,2,0,0,0,0,0,1,0,2,1,0,1,1,1,1,2,0,0,1,1,1,0,0,0,0,0,1,1,0,1,1,2,1,0,0,0,1,1,1,2,0,0,1,1,0,1,0,1,0,0,1,0,0,0,2,1,0,0,2,0,1,0,0,0,0,0,0,1,1,2,0,2,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,2,0,0,0,1,2,0,0,0,1,1,1,1,0,0,0,1,1,0,1,1,2,0,1,0,0,0,0,2,1,0,1,0,0,2,0,0,1,0,0,0,1,2,0,0,2,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,2,0,1,0,0,0,0,1,1,0,2,0,0,0,0,0,0,1,0,0,1,1,0,2,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0,1,1,1,1,1,1,0,1,0,1,0,2,1,0,1,0,1,0,1,1,1,2,0,0,1,0,2,0,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,2,1,2,1,2,0,0,1,0,1,0,0,0,0,0,1,1,1,1,0,0,0,1,2,0,0,0,0,0,2,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,2,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,2,1,0,2,0,1,0,1,1,0,1,0,2,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,2,0,0,0,0,0,1,2,0,0,1,0,1,1,1,1,2,0,0,0,1,0,2,0,0,0,1,0,0,1,0,0,0,0,2,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,2,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,1,1,0,0,1,1,0,2,1,0,0,2,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,1,0,0,1,1,0,0,1,1,2,0,2,1,0,1,1,1,1,0,1,0,2,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,1,0,1,0,1,1,2,2,0,0,0,1,0,0,1,1,0,0,1,0,0,2,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,2,1,0,1,1,2,1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,2,0,2,1,1,0,1,2,0,0,0,0,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,1,2,2,1,2,2,0,0,0,0,1,1,0,1,2,0,2,0,0,0,1,0,0,0,1,1,0,0,0,2,1,0,0,0,0,0,0,2,2,0,0,0,0,1,0,2,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,2,1,0,1,0,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,2,0,0,1,1,0,0,1,1,0,1,2,0,0,0,0,1,1,0,0,0,1,1,1,0,0,1,0,1,1,2,1,0,0,0,2,0,0,1,0,1,2,0,1,2,0,1,2,0,0,0,0,1,1,1,1,2,0,0,0,0,1,1,0,1,1,2,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,2,0,2,0 1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,1,2,0,0,0,1,0,0,1,1,0,0,1,0,0,0,2,2,1,0,0,1,0,0,0,1,0,0,0,1,1,2,0,1,1,0,0,0,0,0,0,1,1,2,0,0,0,0,1,0,0,2,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,2,0,0,2,0,0,1,0,0,1,0,0,2,0,1,0,1,0,2,0,0,1,1,2,0,0,0,0,0,0,2,0,1,2,1,1,0,0,2,0,2,0,1,0,1,0,0,0,1,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,2,0,0,0,0,2,1,1,1,0,2,0,2,1,0,0,0,1,1,1,0,0,0,1,0,2,1,0,0,1,1,0,0,0,0,0,0,1,1,0,1,2,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,1,2,1,0,1,1,0,1,1,1,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,1,2,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,2,0,2,0,1,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,1,0,0,1,0,0,1,1,0,1,2,1,1,1,2,1,0,0,0,1,0,0,1,0,1,0,0,1,0,1,0,0,2,0,0,0,0,2,1,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,2,0,1,1,0,0,1,0,0,0,0,1,1,2,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,1,1,2,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,2,0,1,0,0,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,2,2,0,1,1,0,1,0,1,0,0,0,1,0,1,2,0,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,2,0,0,0,2,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,2,0,1,0,0,0,1,0,1,0,2,0,1,0,1,0,1,1,0,0,0,0,0,1,1,1,1,0,0,0,2,0,1,1,0,0,0,1,0,1,1,2,1,0,2,1,2,1,1,0,0,0,0,0,1,0,1,2,0,0,1,2,1,0,1,2,0,2,0,2,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,2,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0,1,1,1,1,1,0,2,1,1,0,0,0,1,0,0,2,0,0,0,0,0,1,1,1,1,0,2,0,0,0,0,1,0,1,0,0,0,1,0,1,1,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0,1,2,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,1,2,1,2,1,2,2,1,1,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,1,0,2,1,0,0,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,2,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0,2,0,2,0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,1,1,1,2,0,1,0,1,1,1,0,0,1,0,1,0,0,2,0,2,0,0,1,0,0,0,0,2,2,1,1,1,0,0,1,0,1,0,0,2,0,1,1,0,0,0,1,0,1,2,1,1,1,0,1,0,1,1,1,1,1,0,2,1,2,1,2,0,0,0,0,0,1,0,2,1,0,0,0 1,0,1,2,0,0,1,2,0,1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,1,1,0,2,1,0,0,0,0,0,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,0,1,2,0,0,1,0,0,0,1,2,0,0,2,0,2,1,0,1,0,1,1,0,0,0,0,1,2,2,1,1,0,0,1,2,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,2,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,2,0,0,0,1,0,1,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,0,1,1,1,2,0,0,0,0,1,0,0,0,1,1,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,2,1,2,0,0,0,2,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,1,2,0,0,2,2,2,0,1,1,2,1,0,2,1,1,1,0,0,2,1,0,0,1,0,0,1,1,2,0,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,2,2,2,2,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,1,1,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,1,1,2,1,1,1,0,0,0,0,2,1,0,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,2,1,0,0,2,1,0,1,1,1,0,2,0,1,1,0,0,0,0,0,1,1,0,0,0,1,0,1,1,2,0,0,0,0,0,1,1,1,2,0,0,0,1,0,0,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,2,0,1,0,1,1,2,0,0,0,1,0,0,0,1,2,0,1,0,1,0,0,0,0,0,0,2,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,2,0,0,0,0,1,2,1,1,1,2,0,0,1,1,0,0,0,0,0,1,0,1,1,1,0,0,2,0,0,1,1,2,0,0,2,0,1,1,0,1,1,1,1,1,2,1,2,0,2,1,1,1,0,2,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,1,0,0,2,0,0,0,1,1,1,0,0,2,0,0,0,0,0,0,1,0,0,1,2,1,2,0,0,2,0,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0,2,1,1,0,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,2,1,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,1,2,2,0,0,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,2,1,1,0,0,1,0,0,2,0,0,0,1,1,0,0,1,0,0,0,2,0,0,1,0,2,1,1,1,1,0,1,0,0,2,0,1,0,0,0,1,0,1,0,0,0,1,2,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,2,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,2,2,0,1,0,0,1,1,0,1,2,1,0,0,0,0,0,0,1,1,0,0,0 0,0,0,1,1,1,0,1,0,1,2,0,0,1,1,1,0,1,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,2,1,1,1,1,1,2,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,2,0,1,2,0,0,1,1,0,0,0,0,0,2,1,0,1,0,1,0,0,1,1,0,0,1,1,0,2,0,2,1,0,2,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,1,1,2,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,1,0,2,1,0,0,1,0,0,1,0,2,1,1,0,1,0,0,0,1,1,2,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,2,0,1,0,0,0,0,1,1,0,0,1,0,1,2,0,0,0,1,2,1,0,0,0,0,0,0,1,0,2,1,0,1,2,0,0,1,0,1,0,0,1,0,1,2,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,2,0,0,0,2,1,1,0,0,1,0,0,1,2,1,0,1,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,2,2,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,1,1,1,2,0,0,0,1,0,2,0,2,0,0,2,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,2,0,2,0,0,0,0,1,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,2,1,0,0,0,1,0,0,1,0,0,1,1,2,0,1,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,2,0,0,1,1,1,1,1,1,0,1,2,0,0,2,1,1,0,1,0,1,1,2,0,2,1,0,0,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,2,0,1,0,0,1,0,1,0,1,1,1,2,0,0,2,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,2,0,2,0,0,0,0,0,0,1,1,1,0,0,0,2,0,0,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,2,1,1,1,1,0,2,1,1,1,0,0,1,0,1,2,2,0,1,1,0,0,1,1,1,2,1,1,0,0,0,2,1,1,0,0,0,2,0,0,2,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0,2,0,1,0,0,0,2,0,0,1,1,0,2,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,1,2,1,2,1,0,1,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,2,0,1,0,0,1,0,2,0,1,1,1,1,0,0,1,1,1,0,0,1,1,2,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,1,2,0,1,0,1,1,1,0,0,1,0,0,2,0,0,0,1,0,0,1,1,0,2,1,0,1,0,2,1,0,0,0,0,2,1,2,0,0,1,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,2,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,2,0,0,2,0,0,1,0,0,0,0,0,1,2,0,0,1,2,0,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,2,1,0,1,0,1,0,0,0,0,1,1,0,0,2,0,1,1,1,1,0 0,0,0,1,1,0,1,1,1,2,0,1,0,1,1,0,0,1,0,0,0,1,0,0,1,1,1,1,1,0,1,0,1,1,0,0,0,1,2,1,0,1,1,2,0,1,0,2,0,1,0,0,0,0,2,0,1,1,1,1,0,0,0,0,0,2,0,1,1,0,0,0,1,1,2,1,0,1,0,0,0,1,1,1,0,1,0,0,1,2,0,2,1,0,0,2,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,2,0,1,1,1,2,2,1,1,1,0,0,0,1,2,2,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,2,1,1,0,0,0,1,1,0,1,2,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,2,1,1,0,0,0,0,1,0,0,1,0,1,2,0,1,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,2,2,0,0,1,0,0,1,0,0,0,0,0,0,0,1,2,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,2,0,1,2,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,2,1,1,0,0,0,0,1,1,0,0,2,1,0,1,0,1,2,0,1,1,2,1,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,2,1,2,0,0,1,0,1,0,1,0,1,1,0,1,2,2,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,2,2,2,1,0,0,0,0,2,0,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,1,0,1,1,0,2,0,0,0,0,1,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,2,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,2,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,2,2,0,0,0,0,0,0,0,1,2,0,2,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,1,0,1,0,1,1,1,2,0,1,0,0,0,0,1,1,0,1,1,0,0,0,2,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,2,1,0,2,0,0,2,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0,2,0,1,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,1,0,1,2,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,2,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,2,0,2,0,1,1,1,1,0,0,0,0,0,1,2,0,1,1,0,2,2,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,2,0,1,0,2,2,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,2,2,0,0,0,0,1,1,2,0,1,1,0,0,0,1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,2,1,1,0,0,0,0,0,1,1,1,0,0,2,0,1,1,1,1,0,1,0,1,1,0,2,0,2,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,2,0,1,0,1,0,1,0,1,1,1,1,2,0,0,1,1,0,0,0,2,0,0,1,0,0,1,0,0,1,2,1,0,0,1,0,0,0,0,2,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,1,2,1,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,0,2,1,1,1,0 0,0,0,1,1,0,1,2,1,1,0,1,0,2,2,0,0,1,0,0,0,1,0,0,2,0,2,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,2,1,1,2,0,0,0,1,0,0,0,1,1,0,1,0,2,2,1,0,1,0,0,0,0,0,0,2,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,2,1,1,0,0,1,0,1,0,0,0,0,1,0,1,2,1,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,2,1,0,1,2,0,0,2,0,1,0,0,1,0,0,0,1,1,1,0,2,1,0,0,0,0,1,0,1,1,0,0,0,0,0,1,2,0,1,0,2,0,0,2,0,0,1,0,1,1,2,1,1,0,1,0,2,0,1,1,1,0,1,0,0,1,0,1,1,0,2,1,2,1,0,0,1,1,1,2,0,1,2,0,1,0,1,0,0,0,1,0,1,2,1,2,2,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,1,1,0,0,1,1,2,2,1,0,1,0,2,1,0,0,0,1,0,0,0,1,2,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,2,1,1,0,1,1,1,0,2,2,0,0,2,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0,2,2,1,0,0,0,0,2,0,1,0,0,0,1,1,0,0,0,2,0,0,0,1,1,0,0,2,1,2,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,2,0,0,0,1,0,1,1,0,1,2,1,0,0,0,1,0,0,0,1,1,0,1,1,2,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,2,1,1,1,0,0,0,0,1,0,1,0,0,2,1,0,0,0,0,0,1,1,2,0,1,0,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,2,2,0,1,0,1,1,2,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,2,1,0,0,0,0,2,1,0,0,0,0,0,1,2,0,2,0,0,0,2,2,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,1,2,0,1,1,0,0,1,0,1,0,1,0,0,0,2,0,2,0,0,1,1,1,0,1,0,0,0,0,1,1,1,2,2,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,2,1,1,0,0,1,1,0,2,0,1,1,1,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,2,1,0,1,1,0,0,0,0,0,1,1,0,0,0,1,1,2,2,2,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,0,2,0,0,0,2,0,2,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,1,1,1,0,0,0,0,1,0,2,0,0,0,0,0,0,2,0,1,0,0,0,2,0,1,2,0,1,2,2,1,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,2,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,1,1,0,2,0,0,1,1,0,1,1,0,0,1,0,0,1,1,2,0,1,0,0,0,2,1,1,2,1,1,0,1,0,0,1,0,0,1,1,2,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,1,0,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,2,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,2,1,1,0,2,0,1,1,1,1,2,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0 2,0,1,1,0,1,0,0,2,0,0,1,0,1,0,2,2,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,2,0,0,1,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,1,0,0,0,0,2,0,0,0,0,1,0,2,2,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0,2,1,0,0,2,0,0,1,2,1,1,1,1,1,0,0,1,1,2,2,0,0,2,0,1,1,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,2,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,2,2,0,1,0,1,0,1,1,2,1,0,1,0,2,1,0,0,0,2,1,1,1,1,0,0,1,1,0,0,1,1,1,0,1,1,1,2,0,0,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,2,2,0,0,1,0,2,1,1,0,0,0,2,1,0,0,0,0,1,0,2,0,0,1,0,0,0,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,2,1,0,0,1,2,0,1,0,2,0,0,1,0,0,0,1,0,0,1,0,2,1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,1,1,0,1,0,2,0,1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,2,1,2,0,0,2,2,0,0,1,0,1,1,0,0,0,0,0,1,0,2,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,2,0,1,0,1,0,1,1,0,1,1,0,0,2,1,1,1,1,0,1,0,2,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,2,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,2,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,1,1,2,0,0,0,1,0,0,0,0,0,0,1,2,1,0,0,2,0,0,1,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,1,1,1,2,2,1,1,1,0,0,0,1,2,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,1,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,2,1,1,2,2,0,0,0,0,0,0,0,1,1,1,1,1,0,0,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,1,2,0,1,0,1,0,1,0,0,0,1,0,2,0,1,0,1,1,0,1,2,0,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,1,1,2,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,2,1,1,0,0,2,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,2,2,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,0,2,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,2,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,1,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0 1,0,0,1,0,0,0,1,0,1,1,1,0,1,2,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,2,2,1,0,1,1,0,0,1,0,0,1,0,0,0,0,1,2,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,1,0,1,1,0,2,0,1,1,0,0,1,2,1,0,1,0,0,1,1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,1,1,2,2,1,0,0,0,0,0,1,2,2,0,2,0,0,1,0,0,0,0,2,0,0,0,1,0,1,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,2,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,1,1,0,0,0,1,1,0,2,1,1,1,0,1,0,0,0,1,0,0,0,0,2,1,0,2,0,0,1,0,0,0,1,1,0,1,0,0,0,0,2,0,1,1,1,0,0,1,0,2,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,2,1,1,2,0,1,0,0,0,1,0,1,0,0,0,1,0,1,2,0,0,0,2,1,0,1,0,0,0,1,0,1,2,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0,2,0,0,0,1,0,0,0,1,1,0,0,0,1,1,0,1,2,1,2,1,1,0,0,1,1,1,1,1,1,1,0,0,2,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,1,1,1,1,1,1,2,2,2,2,0,1,0,2,1,0,2,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,2,2,2,0,1,0,0,1,2,1,0,1,2,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,2,0,0,0,1,1,0,1,0,1,0,2,2,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,1,0,2,0,1,2,1,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,0,1,2,0,0,0,1,1,1,0,0,1,0,0,2,0,0,0,0,0,2,1,2,0,0,2,1,1,1,1,0,1,1,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,0,0,1,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,1,0,1,1,1,0,0,1,1,2,0,1,0,1,1,1,2,1,0,2,0,0,1,1,1,1,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,2,1,0,0,0,1,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,1,2,1,2,0,0,1,2,1,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,2,0,0,0,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,1,1,2,1,0,0,0,0,1,0,0,0,1,2,0,0,0,2,0,1,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,2,0,2,2,0,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0,2,0,1,0,0,0,0,1,0,1,1,0,0,1,0,1,0,2,0,0,0,2,0,2,1,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,2,2,0,0,0,0,0,0,0,1,0,2,0,0,2,0,1,2,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,2,1,0,0,1,1,1,1,0,1,0,2,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0 1,0,1,1,1,0,2,0,0,0,2,0,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,2,1,0,1,1,0,1,0,0,1,0,2,1,0,0,1,1,1,1,2,0,0,1,1,0,1,0,1,1,0,0,1,1,0,2,1,1,2,0,0,0,0,1,0,0,1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,1,1,2,0,2,0,0,2,1,2,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,2,0,0,0,0,2,1,0,2,0,1,0,0,0,0,1,1,1,0,0,2,0,1,1,0,1,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,2,1,2,1,0,1,1,0,0,1,2,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,2,1,2,0,1,0,0,0,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,2,0,0,1,0,0,1,1,1,2,0,0,0,1,1,0,0,2,1,0,1,1,0,0,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,2,0,1,1,2,0,0,2,1,1,0,1,1,0,0,0,1,0,2,0,0,0,0,2,0,1,2,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,2,1,2,0,0,0,0,1,1,0,1,0,1,2,0,0,1,0,1,1,1,0,0,0,0,1,0,1,1,1,0,2,1,1,2,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,2,0,1,0,0,0,0,0,1,1,1,0,0,0,0,2,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,2,0,0,1,0,1,0,0,0,1,1,1,0,0,0,0,1,1,2,0,0,0,1,1,0,1,2,0,0,0,0,0,1,0,0,1,1,2,1,0,0,1,0,0,1,0,1,1,1,1,0,0,2,0,1,0,1,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,2,1,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,1,1,0,2,0,1,2,1,2,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,1,1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,2,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,2,0,0,0,1,0,0,1,0,1,1,0,2,1,0,0,0,2,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,2,0,0,1,1,1,0,1,2,0,0,2,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,2,1,0,1,0,0,0,0,0,2,0,0,2,0,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0,1,2,1,2,0,0,0,1,2,0,1,0,0,2,1,1,0,1,2,1,1,2,0,0,0,0,0,0,0,2,0,0,1,0,1,1,1,1,0,2,0,1,1,1,1,1,1,0,2,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,2,1,1,0,0,0,0,1,0,0,0,2,0,0,2,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,2,0,1,0,0,0,1,0,0,0,0,2,1,1,1,0 1,0,1,2,0,0,0,1,2,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,1,0,2,1,0,0,1,0,0,2,0,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,2,1,1,1,0,0,2,1,1,2,1,0,0,0,0,0,0,1,0,2,0,2,0,1,1,1,0,0,0,0,0,1,0,0,0,1,2,0,1,0,0,0,0,1,0,0,2,0,2,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,2,1,0,1,2,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,2,0,1,2,0,1,1,1,1,0,0,0,0,2,0,1,0,0,1,0,1,1,0,2,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,2,0,0,1,0,0,1,1,0,0,0,2,0,0,1,2,1,2,1,0,2,0,1,0,1,1,0,0,0,1,2,0,1,0,0,2,1,0,1,1,1,0,1,0,0,2,0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,2,0,1,1,0,0,1,1,1,0,0,2,0,1,0,0,0,0,0,0,1,1,2,0,0,1,2,2,1,1,1,2,0,0,1,2,0,0,1,0,0,1,1,1,1,0,0,0,2,2,0,1,0,1,0,1,2,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,0,2,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,2,1,0,1,0,1,1,0,0,0,0,1,2,0,2,0,1,1,1,1,2,1,1,0,1,0,0,1,0,0,0,1,1,0,2,0,0,1,0,0,1,1,0,0,0,0,0,1,2,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,0,0,1,1,1,0,0,0,0,1,0,1,2,0,1,0,0,0,2,0,0,1,1,0,0,2,1,2,2,0,2,0,0,2,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,1,2,0,1,0,1,0,0,0,1,1,0,1,0,0,0,2,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,2,1,0,2,0,1,1,0,0,0,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,2,0,0,0,0,0,0,0,1,2,0,1,1,0,0,0,0,1,0,1,2,0,0,0,2,0,1,0,0,0,1,0,0,1,1,1,0,1,0,2,0,0,0,2,1,0,1,0,1,1,1,2,1,0,1,1,0,0,0,0,1,0,0,0,1,1,1,1,1,1,1,2,1,0,0,0,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,2,2,0,2,0,2,1,1,0,0,0,1,0,2,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,1,1,0,0,2,1,0,2,0,0,0,1,0,0,1,2,2,1,2,0,1,1,1,0,1,1,0,0,1,1,2,0,1,2,0,0,1,2,0,0,0,0,0,1,0,0,1,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,2,2,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,1,2,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,2,1,0,0,1,0,1,2,1,0,0,0,1,0,2,1,0,0,0,0,2,1,0,0,0,0,1,1,0,1,1,1,0,0,2,0,1,1,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1,0,1,2,0,1,0,0,0,0,1,1,2,1,0,0,1,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0 1,0,2,0,2,0,0,1,0,2,1,1,0,1,1,1,0,0,0,0,0,0,1,1,0,2,1,0,1,2,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,0,2,0,1,1,1,1,0,0,0,0,1,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,2,2,0,0,1,2,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,2,0,0,0,1,0,0,1,2,1,1,1,1,0,0,1,1,1,0,0,0,0,2,0,0,1,0,0,1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,2,0,0,0,1,2,0,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,1,1,0,2,0,0,0,0,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,2,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,2,0,0,2,0,2,0,0,1,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,2,2,1,0,0,0,1,0,2,1,2,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,1,1,1,1,0,2,1,2,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,2,0,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,1,1,2,0,1,0,0,2,1,0,0,0,1,2,0,0,1,1,0,1,0,0,0,0,1,2,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,2,0,1,0,1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,2,0,2,1,0,2,0,0,0,0,0,1,1,0,1,1,0,1,0,0,2,1,0,0,0,0,0,1,0,0,1,0,0,1,1,0,2,0,0,0,0,2,0,0,0,2,0,2,1,0,1,0,0,0,0,0,0,1,0,0,0,2,1,0,0,1,1,1,2,0,1,2,1,0,1,1,0,2,1,0,1,0,0,1,1,1,0,2,1,1,1,1,2,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,2,0,0,0,0,0,1,0,2,0,0,0,1,0,1,0,2,0,2,0,1,0,0,0,0,0,0,0,1,2,1,2,0,0,1,0,2,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,1,2,0,0,1,1,0,0,0,0,1,0,0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,2,1,0,0,1,0,1,0,0,0,2,1,0,1,1,1,0,0,1,1,0,2,0,2,0,0,0,1,0,0,1,0,0,1,2,0,1,1,0,0,1,0,0,1,0,2,0,2,1,0,2,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1,1,1,0,0,0,0,2,0,0,1,0,1,1,0,2,0,0,0,0,1,1,1,0,0,0,1,1,0,0,2,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,2,1,1,1,0,0,0,0,0,1,1,0,1,0,2,1,2,0,1,0,1,1,1,0,0,1,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,1,1,1,0,0,0,2,1,0,0,0,1,1,1,0,1,0,0,2,0,2,0,0,0,0,2,0,1,0,1,1,2,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,1,1,0,1,0,0,1,0,1,2,0,0,1,1,1,1,1,1,0,2,0,0,0,1,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0 1,0,2,0,1,1,1,0,1,0,2,0,2,0,0,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0,1,2,0,1,0,2,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,2,2,2,0,0,0,1,1,0,0,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,2,2,1,0,0,0,0,0,1,0,2,1,0,1,1,0,1,1,1,2,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,2,2,0,1,1,1,1,0,1,2,0,1,2,0,0,1,0,0,0,0,0,0,1,0,2,1,0,1,1,0,0,1,1,2,0,1,0,0,0,1,1,2,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,2,0,1,0,1,1,0,2,1,0,0,0,0,0,0,0,0,0,1,0,2,0,2,0,0,0,2,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,2,1,0,1,0,1,1,1,0,1,1,2,1,1,0,0,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,2,0,0,0,1,0,0,2,1,1,1,0,0,0,2,1,0,0,0,0,2,0,1,1,0,1,0,1,1,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,1,1,1,1,2,0,0,2,1,1,1,0,0,0,2,1,1,0,1,1,1,0,0,0,0,0,0,0,2,0,1,1,0,0,1,0,0,0,1,1,2,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,2,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0,1,2,0,1,0,0,0,1,1,0,0,1,0,2,1,0,2,1,1,0,1,0,0,0,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,2,1,1,0,2,1,0,0,1,0,0,0,0,1,0,1,0,1,0,0,2,1,1,0,0,1,0,2,2,0,1,0,0,0,0,0,1,0,0,1,0,0,1,1,1,0,0,2,1,1,1,1,1,0,0,0,0,1,1,2,0,0,1,0,0,1,1,0,1,2,1,0,0,0,1,0,0,0,1,0,1,1,1,1,2,0,1,1,0,0,0,0,0,1,0,2,1,2,2,0,0,0,1,2,2,1,0,0,0,0,0,0,0,1,1,2,2,0,0,0,0,1,0,0,0,0,2,0,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,1,1,2,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,1,1,0,0,0,2,0,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,2,2,0,1,1,1,0,1,2,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,1,0,2,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0,1,1,2,0,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,2,1,1,1,2,0,0,1,1,0,0,0,1,1,1,2,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,1,1,0,0,1,1,2,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0,2,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,1,0,2,1,1,0,0,0,1,0,0,1,0,1,0,0,1,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0 0,0,0,0,0,0,1,0,0,2,1,1,0,2,1,0,1,1,0,0,0,0,0,0,2,0,1,2,2,1,2,0,2,2,1,0,1,1,0,0,2,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,2,0,1,1,0,0,0,0,0,0,0,1,0,1,0,2,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,2,1,0,0,0,0,1,0,1,0,1,2,1,1,1,1,0,1,0,1,1,1,0,0,0,2,0,2,1,1,0,0,0,0,0,0,0,1,1,1,1,1,0,1,0,0,1,1,2,1,1,0,1,2,1,0,1,0,0,0,1,0,2,1,1,1,0,1,0,2,0,0,0,1,0,0,1,0,0,1,1,2,0,1,0,0,1,0,2,0,0,2,0,0,0,0,1,0,1,1,0,1,0,0,2,0,0,1,0,2,0,0,1,1,0,1,0,0,0,2,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,1,2,1,1,0,0,0,1,1,2,0,0,2,1,0,1,0,0,0,1,0,0,2,1,1,0,1,1,1,1,1,0,0,0,0,2,0,1,0,1,0,0,1,0,0,2,2,0,0,0,1,0,2,1,0,0,0,1,0,2,1,0,1,0,0,0,2,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,1,1,2,1,1,0,2,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,2,0,1,0,0,0,0,0,0,1,1,1,0,0,1,2,1,1,0,0,0,0,0,1,2,0,0,1,1,0,0,0,2,0,0,0,0,1,0,1,1,0,1,1,1,0,2,0,2,1,1,1,2,0,1,2,0,0,0,1,1,0,0,1,1,1,0,1,0,2,0,1,1,0,0,0,0,1,0,0,0,1,2,1,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,1,0,2,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,2,0,0,1,1,0,0,2,0,2,0,0,0,0,2,1,1,1,0,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,2,0,1,2,1,2,1,0,0,0,0,0,1,1,1,1,0,1,0,0,1,2,0,2,1,2,0,2,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,2,1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,1,2,0,1,0,1,0,0,0,0,1,0,0,1,1,0,1,1,1,0,1,2,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,2,1,1,1,1,0,0,0,1,0,0,0,1,0,1,2,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,2,0,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0,1,2,0,1,0,0,1,1,0,1,2,0,1,1,1,1,1,1,1,0,0,2,1,0,0,0,0,2,1,0,0,1,0,1,1,0,0,0,0,1,2,0,0,0,0,1,0,1,1,2,0,0,0,1,2,1,1,1,0,0,0,0,1,0,0,0,0,2,2,1,0,0,2,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,2,1,2,0,0,0,1,0,2,1,1,0,0,0,1,0,2,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,1,2,0,0,0,2,1,1,1,0,0,1,0,1,0,0,0,0,0,1,2,1,0,2,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0 0,0,0,2,0,0,2,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,2,0,0,2,0,1,1,1,0,0,0,0,1,1,1,2,1,2,1,1,1,0,1,1,0,2,1,0,0,0,0,0,1,1,2,0,0,0,0,0,0,1,0,0,0,0,1,0,1,2,1,1,0,1,0,0,0,0,0,1,0,0,2,0,2,0,0,1,1,0,0,2,0,0,1,0,1,1,0,0,1,1,1,0,0,2,1,0,0,1,1,1,0,1,1,1,2,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,2,1,0,0,0,0,0,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,2,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,2,1,1,0,2,2,0,0,0,1,0,1,1,0,0,0,1,0,1,2,1,0,1,1,0,1,2,1,1,0,0,1,0,0,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,1,1,0,1,1,2,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,2,2,0,1,0,1,1,0,0,0,2,0,1,2,0,1,0,0,0,0,1,1,0,1,1,2,0,0,2,0,0,0,1,2,0,1,0,2,0,0,0,1,0,0,0,0,1,0,1,2,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,1,2,2,0,1,0,1,0,0,1,0,1,1,0,1,2,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,2,0,0,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,2,1,1,0,0,1,2,0,0,1,0,1,0,0,1,1,0,2,1,1,2,1,0,0,0,1,1,1,0,0,1,1,1,0,0,2,2,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,1,1,0,0,2,1,0,0,1,0,1,0,2,2,1,1,0,0,1,2,1,1,1,2,2,1,1,1,0,0,1,2,0,1,2,0,2,1,0,2,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,1,0,2,0,0,0,2,0,1,0,2,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,2,1,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,1,0,2,0,0,1,2,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,1,0,0,1,2,2,1,1,0,1,0,1,0,2,0,1,1,0,0,0,1,2,0,2,0,0,2,0,0,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,2,0,0,1,1,1,0,0,0,2,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,1,1,2,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,1,2,1,0,1,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,1,0,1,1,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,2,1,1,0,0,0,0,0,1,0,0,0,1,0,1,2,1,0,0,1,0,1,0,0,1,1,0,0,1,1,2,2,0,0,0,0,0,0,2,1,2,0,0,0,0,0,1,1,0,1,0,0,1,1,1,2,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0 1,0,0,1,1,0,0,0,0,2,1,1,0,2,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,1,2,0,1,0,0,0,0,1,1,2,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,2,0,0,1,0,1,0,1,1,1,2,0,1,0,1,0,0,0,0,2,1,0,1,0,1,2,0,2,1,0,1,1,2,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,2,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,1,1,0,1,0,1,2,0,1,1,0,2,1,1,1,0,0,0,0,2,1,0,1,0,0,0,0,1,1,1,1,0,1,2,0,1,0,1,1,0,0,0,0,0,1,2,0,1,0,0,1,0,0,2,1,0,1,1,0,1,2,0,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,2,2,0,0,0,1,1,1,0,0,0,1,1,2,2,0,0,0,0,1,1,0,0,0,1,0,2,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,2,2,0,0,1,1,0,0,1,1,1,2,0,1,0,0,0,0,1,0,0,1,2,0,1,2,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,2,1,2,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,2,0,0,0,1,0,0,0,1,1,1,0,0,2,0,1,0,1,0,0,0,0,1,0,2,1,0,0,0,0,0,0,0,2,1,0,0,1,0,1,1,0,0,1,0,0,2,1,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,1,2,1,1,1,0,0,0,0,0,0,2,0,0,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,2,0,0,1,0,1,2,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,2,0,0,1,0,0,0,1,0,1,2,1,1,1,0,0,0,0,2,2,0,0,1,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,2,0,1,1,0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,2,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,2,1,1,0,0,0,0,1,1,0,0,0,1,0,2,0,1,1,0,0,0,0,0,1,0,0,0,2,0,0,1,0,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,2,2,1,2,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,1,1,1,0,0,1,0,2,1,1,2,1,1,0,0,0,0,1,0,1,0,0,1,1,1,1,2,1,2,2,2,0,1,1,0,0,1,2,1,1,1,2,1,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0,2,0,0,0,1,0,0,0,0,2,0,1,2,0,0,1,0,0,2,1,0,0,2,0,0,0,1,1,1,1,0,0,1,2,1,1,2,1,0,0,0,1,1,0,1,0,2,0,2,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,2,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,1,0,1,2,2,1,2,0,0,0,1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0 0,0,0,0,0,0,0,1,0,1,0,1,1,2,2,1,0,1,0,0,0,0,0,0,2,0,1,1,1,0,2,0,1,1,1,0,1,0,1,0,0,1,0,2,1,1,0,2,0,1,2,1,0,0,0,0,0,0,0,1,0,1,2,1,0,1,0,1,1,0,1,1,2,2,2,1,1,1,0,0,0,0,0,1,1,0,2,0,0,1,2,1,1,0,1,0,0,0,0,0,2,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,2,0,0,1,0,0,0,1,0,1,0,0,1,0,2,0,0,0,0,2,0,1,0,0,0,0,2,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,2,0,2,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,2,0,0,1,1,0,2,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,2,0,0,0,0,1,0,0,0,1,1,2,2,0,2,1,0,0,0,1,0,1,0,1,0,1,0,0,1,0,0,1,1,2,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,2,1,1,0,1,1,1,2,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,1,2,1,0,1,1,0,0,0,1,0,0,2,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,2,1,0,2,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,2,1,1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,2,0,1,0,0,1,0,0,1,2,1,0,0,0,1,0,0,2,0,1,1,0,1,0,0,1,1,0,0,2,0,2,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,1,2,0,0,0,0,0,0,0,1,1,1,0,0,2,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,2,0,0,0,1,1,0,0,0,0,0,0,1,2,1,0,0,0,1,0,1,0,0,1,0,0,0,2,2,2,2,2,0,1,0,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0,0,2,1,1,1,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,2,0,0,0,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,2,2,0,1,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,2,1,0,0,1,1,1,1,1,2,0,0,1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0,1,2,2,2,1,0,0,1,0,0,0,1,2,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,2,1,1,2,1,0,0,1,0,1,0,0,0,1,0,1,0,1,1,1,2,1,2,1,1,0,0,0,1,1,2,0,1,1,0,1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,2,1,0,0,1,1,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,2,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,1,2,1,2,0,0,0,0,0,1,0,0,2,0,0,0,0,1,1,1,0,0,1,1,2,0,0,0,1,0,1,1,0,0,2,0,0,1,0,0,1,0,0,0,0,0,2,1,0,0,0,0,1,0,0,1,1,1,1,0,2,0,2,1,0,2,1,1,0,0,0,2,0,0,0,0,0,1,1,0,1,0,0,0,0 1,0,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,1,1,1,2,0,0,0,0,0,0,0,2,1,2,0,1,1,0,1,1,0,1,2,1,0,0,0,1,0,0,0,2,0,1,0,0,0,1,0,0,1,1,1,1,0,2,0,1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0,2,0,2,0,0,1,1,0,1,1,1,0,1,0,1,1,0,2,0,1,1,0,1,1,1,2,1,0,1,0,2,1,0,1,0,2,1,1,1,0,1,0,1,0,1,0,0,1,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,2,0,1,2,1,0,0,1,1,0,0,0,2,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0,1,2,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,1,1,0,1,1,0,1,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,2,0,1,1,0,0,1,0,0,0,0,2,1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,1,0,1,1,1,1,0,0,2,0,1,1,1,2,1,1,0,1,0,1,1,0,2,1,2,1,2,0,0,0,1,1,0,1,1,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,1,0,2,1,2,0,2,0,0,0,1,0,0,0,1,2,0,1,1,0,0,1,1,1,2,1,1,0,1,1,2,0,0,1,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,2,0,1,1,1,0,2,0,1,0,1,1,0,0,1,0,0,1,0,2,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,2,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,2,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,2,0,0,1,0,1,0,1,0,1,1,0,2,1,1,2,0,1,1,2,1,0,1,1,2,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,1,0,0,0,2,2,0,0,0,2,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0,2,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,2,0,1,1,0,0,0,0,0,1,0,1,1,0,1,2,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,2,0,0,1,0,1,0,0,0,0,0,1,0,2,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,2,1,2,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,2,0,1,0,0,0,1,1,0,1,2,0,0,0,1,1,1,0,0,0,0,1,2,0,0,0,0,1,1,0,2,0,2,0,0,0,1,1,1,0,0,1,1,1,0,0,2,1,2,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,1,0,1,2,0,0,1,0,0,1,1,0,1,0,0,2,1,1,0,2,1,1,0,0,0,0,0,0,2,1,1,1,1,0,1,0,0,0,0,2,1,0,0,0,1,2,1,1,0,0,0,1,0,1,0,1,1,0,1,0,2,1,1,0,0,0,0,1,0,0,2,0,1,0,1,0,0,1,1,0,0,2,1,1,0,0,2,0,1,2,0,1,0,1,0,1,1,0,0,1,0,0,0,0,2,1,2,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,2,0,1,0,0,1,0,1,0,1,1,1,0,0,2,0,1,2,1,1,0 0,0,1,1,0,0,0,0,0,0,2,1,0,1,2,0,0,0,0,0,0,0,0,0,1,2,2,1,1,0,2,0,0,1,2,0,2,1,0,0,0,0,1,0,1,2,0,2,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,2,1,1,0,0,0,0,0,1,0,1,0,2,0,0,2,0,0,0,0,2,0,0,0,2,2,0,2,1,0,1,1,0,1,2,1,0,0,0,2,1,1,2,1,0,1,1,0,0,1,0,1,0,0,0,2,0,1,0,0,0,0,0,2,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,2,0,0,2,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,2,0,0,0,2,0,2,0,1,0,0,0,1,0,1,0,1,1,2,1,0,2,1,2,0,0,2,2,1,0,1,0,0,1,0,0,1,1,0,1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,2,1,0,0,0,0,0,0,0,2,1,1,0,0,0,1,2,0,0,0,0,1,0,1,1,0,0,0,0,2,2,1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,2,1,0,2,2,2,0,1,1,1,1,0,0,2,1,0,1,2,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0,0,0,2,0,1,0,2,0,0,2,0,1,0,0,0,2,0,0,1,2,1,0,0,0,2,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,2,0,0,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0,2,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,2,1,1,1,0,1,0,0,2,0,0,0,0,0,0,1,2,1,0,1,0,0,0,1,0,1,0,0,0,2,1,0,1,1,0,1,0,0,0,2,0,1,0,1,0,1,0,0,0,0,0,1,1,0,2,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,2,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,1,2,0,0,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0,1,1,0,1,1,0,2,1,2,0,1,2,0,1,2,0,0,1,1,1,2,0,1,0,0,2,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,2,1,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,1,2,0,2,1,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,2,0,1,1,1,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0,2,0,2,0,1,0,1,0,1,0,0,0,0,0,2,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,2,1,0,1,0,0,1,1,0,1,0,1,1,2,1,0,1,1,0,1,0,1,0,1,0,2,0,1,0,1,0,0,1,2,0,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,2,0,1,0,1,0,0,0,0,0,2,0,0,0,0,1,1,1,0,1,1,1,0,1,1,0,0,1,1,2,0,1,0,1,0,1,1,1,0,0,0,0,0,2,0,1,1,0,0,2,0,0,0,2,0,2,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,2,1,0,0,0,0,0,0,1,2,1,0,0,0,0,0,1,0,1,0,0,0,1,2,0,1,0,0,0,0,1,2,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,0,2,2,2,0,2,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0 1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0,2,1,0,0,0,0,0,0,0,2,2,1,0,0,0,1,0,0,0,2,0,0,0,1,0,0,1,0,0,1,1,2,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,2,1,0,1,0,1,2,0,0,1,0,0,0,0,0,1,2,0,1,2,0,1,0,0,1,0,0,0,0,0,1,2,0,0,1,0,2,2,0,0,0,1,1,1,1,0,0,0,1,0,0,1,2,0,0,2,0,0,1,0,0,1,0,1,2,1,2,1,0,1,0,1,0,2,0,0,0,0,1,1,0,0,1,0,1,2,0,0,1,0,1,0,1,0,2,0,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,2,1,2,0,1,0,1,0,0,0,1,0,1,1,0,0,2,0,0,0,0,0,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,1,0,1,1,0,1,1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,2,2,0,0,0,1,2,0,0,0,1,0,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,2,0,1,0,1,1,1,1,1,0,0,0,0,1,0,2,0,0,0,1,0,2,0,0,0,0,0,0,1,1,0,2,1,0,2,1,1,2,0,0,2,0,0,0,0,0,1,0,1,0,2,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,2,0,0,0,2,0,2,1,0,0,1,1,0,1,0,1,1,0,2,0,1,1,0,0,2,0,1,2,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,2,0,0,2,0,1,1,0,1,0,0,1,0,2,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,2,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,1,1,0,0,1,2,1,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,2,2,0,0,1,1,0,1,2,2,2,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,2,0,1,1,0,0,0,0,1,1,2,1,0,0,0,0,1,0,1,2,1,0,2,1,0,0,1,1,2,1,0,2,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,1,0,1,1,0,1,0,2,1,1,0,0,1,0,1,1,1,0,1,0,1,1,1,0,0,1,1,0,1,0,2,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,2,1,1,1,0,0,0,0,0,1,1,0,1,0,2,1,0,2,1,2,1,0,1,0,2,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,2,1,2,0,1,0,1,0,1,1,0,1,0,0,1,2,0,2,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,2,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,2,0,1,0,0,0,0,0,1,0,2,0,0,0,1,1,0,1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,2,2,0,0,1,0,1,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,2,1,0,1,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0,0,2,0,0,1,0,1,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,2,1,0,0,1,0,2,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,1,0,2,0,1,2,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0 2,0,1,0,1,1,1,0,1,1,2,0,0,1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,2,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,1,2,0,0,2,0,1,1,1,1,0,1,0,0,0,2,1,0,0,1,2,0,2,0,0,1,0,1,1,1,0,2,1,1,1,0,0,2,2,0,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,2,1,0,0,0,0,2,0,0,0,1,0,1,1,2,2,0,0,2,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,1,2,1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,1,1,1,0,1,0,1,0,0,2,0,1,0,0,0,0,0,1,0,0,0,1,2,0,2,1,1,0,1,1,1,0,0,1,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,2,0,1,0,0,0,2,1,1,1,1,0,0,0,2,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,2,1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,2,0,1,1,0,0,0,0,1,0,2,1,2,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,1,0,1,1,1,2,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,2,0,0,0,0,2,1,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,2,0,0,1,1,0,0,0,1,0,2,1,0,0,1,0,2,1,0,1,1,2,0,1,2,2,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,1,2,1,0,0,0,1,0,1,1,1,0,0,1,0,2,0,0,0,2,1,1,1,0,0,0,0,0,0,1,1,2,0,0,0,0,0,2,1,1,0,0,1,2,0,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0,1,1,0,0,1,1,1,0,1,2,1,1,1,1,0,2,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,1,1,2,1,0,0,0,0,1,0,0,0,0,1,2,0,1,1,1,0,1,2,1,0,0,1,1,0,0,1,0,1,0,2,1,1,1,0,0,1,2,0,2,0,1,1,0,0,2,0,0,1,1,0,1,0,1,0,2,0,2,0,1,0,0,0,1,0,1,2,1,1,2,2,0,0,2,1,0,2,0,0,1,1,0,2,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,1,0,1,0,1,0,1,2,2,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,2,2,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,1,2,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,2,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,2,0,2,2,1,1,0,1,1,0,0,0,1,1,0,2,0,1,1,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,1,0,1,0,1,0,2,1,2,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,2,1,0,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,1,2,1,0,0,0,2,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,2,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,1,1,0,0 0,0,1,2,1,2,0,0,2,0,1,0,2,2,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,1,1,2,2,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,2,0,0,2,0,2,1,1,1,0,1,0,0,0,0,0,1,0,0,2,0,2,0,0,1,0,0,1,1,1,0,1,0,0,1,0,2,1,1,0,0,0,1,1,1,0,1,0,2,0,0,1,1,0,0,0,1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,2,1,2,0,0,2,1,0,1,0,0,1,0,0,2,0,1,1,0,0,0,0,0,1,0,2,1,0,1,0,0,2,0,2,0,1,0,0,0,0,0,1,0,1,2,1,1,0,0,0,0,1,0,1,0,1,0,2,1,2,0,2,1,2,2,1,0,0,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,2,1,0,0,0,1,0,0,0,1,2,1,1,1,1,0,0,1,1,0,1,2,0,0,2,1,1,0,0,1,1,1,0,1,0,0,0,1,1,2,2,0,1,0,1,0,2,1,0,0,0,2,0,1,1,0,2,1,1,0,0,0,2,0,0,0,1,0,0,0,1,0,2,1,2,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,2,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,2,1,1,1,1,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,2,0,1,0,1,1,0,0,2,0,2,0,0,1,0,0,1,0,0,0,2,0,1,1,0,0,1,1,0,1,2,0,1,1,1,2,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,2,0,1,2,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,2,0,1,1,0,0,0,0,0,1,2,0,1,0,2,1,2,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,2,0,1,0,1,0,0,2,1,0,0,0,0,0,0,0,2,1,0,1,0,0,1,1,0,1,0,1,1,0,0,1,2,2,1,0,0,1,1,0,0,1,1,1,1,0,2,0,0,0,1,1,1,1,2,1,0,0,0,0,0,0,2,0,1,1,0,0,1,1,0,0,0,2,1,0,0,0,0,0,2,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,2,0,0,1,2,1,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,2,1,0,1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,1,2,0,1,0,0,2,0,0,0,1,0,1,0,0,1,1,0,1,0,2,1,1,1,1,1,0,0,0,0,1,2,1,0,2,1,1,1,1,1,0,0,1,0,0,0,0,2,2,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,2,1,0,1,0,1,2,0,1,0,1,0,0,0,2,2,0,1,2,2,0,0,1,1,0,1,0,0,0,0,0,0,2,2,0,0,0,1,0,0,0,2,0,2,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,2,2,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,1,2,0,2,0,0,1,2,0,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,1,2,2,0,0,1,1,1,1,0,2,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,2,0,1,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0 0,0,1,0,0,1,1,1,1,1,0,0,0,1,1,1,1,0,1,0,1,0,1,2,0,0,1,0,0,0,0,0,2,0,1,0,2,0,1,0,0,2,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,2,1,1,0,0,1,1,2,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,2,1,0,1,0,1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,1,0,2,0,0,0,0,0,1,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,2,0,1,0,0,2,0,0,0,1,1,1,0,0,2,0,0,0,0,2,0,1,1,0,1,0,1,2,0,1,0,1,2,0,1,0,0,0,0,1,0,1,1,1,0,2,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,1,0,0,1,0,1,2,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,2,0,2,0,0,0,0,2,1,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,2,1,1,0,1,0,0,2,0,1,1,0,1,0,2,0,1,0,0,0,0,0,0,2,1,1,0,0,0,1,0,1,1,2,1,2,1,0,0,0,0,2,1,1,0,0,0,2,0,0,1,1,0,0,1,1,0,2,1,1,1,0,0,1,1,1,2,0,0,0,1,1,2,0,0,2,0,2,0,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,1,1,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,1,0,0,1,0,0,2,0,1,2,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,2,1,0,0,2,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,2,0,1,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,2,1,0,1,1,0,2,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,1,1,0,1,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,2,0,2,2,2,0,0,1,0,1,2,1,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,2,0,1,2,0,1,0,1,0,1,1,0,1,2,0,0,0,1,0,0,1,1,2,1,1,0,1,1,0,0,1,2,1,2,2,1,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,1,0,2,1,1,0,1,0,0,1,0,0,1,0,2,0,1,0,2,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,1,1,1,0,1,2,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,2,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,1,2,0,0,0,0,0,1,2,1,0,1,0,1,0,0,1,2,0,0,0,1,0,1,0,1,0,2,1,0,0,0,0,0,0,2,0,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,2,1,0,0,0,0,0,0,1,0,0,1,1,1,2,2,0,0,1,0,0,0,1,0,2,1,0,2,2,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0,1,0,1,1,2,1,0,0,0,2,1,0,0,1,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,2,0,0,1,0,0,2,0,0,0,0,0,1,1,2,1,1,0,2,2,0,0,0,0,0,1,0,0,0,1,0,1,1,0,2,0 0,0,0,1,2,0,0,1,0,1,0,1,1,0,1,2,0,1,1,0,0,0,0,0,2,1,1,1,1,0,2,0,1,0,0,0,1,1,1,2,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,2,0,0,1,0,0,1,0,1,1,0,0,2,1,0,0,1,2,0,1,1,1,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,0,0,2,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,2,0,2,0,1,1,2,1,0,1,1,0,0,1,1,1,0,1,1,0,2,0,0,0,0,2,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,2,0,2,1,1,2,1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,2,1,0,2,2,1,1,1,0,1,0,0,0,0,0,0,2,1,1,1,0,0,0,0,0,0,1,1,0,0,2,1,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,2,2,0,1,1,0,1,1,0,1,0,0,0,1,0,2,1,0,2,0,2,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,2,0,1,0,1,0,0,0,2,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,1,1,1,0,0,2,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1,2,1,0,1,0,0,1,0,0,0,0,1,1,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,2,1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,2,0,2,0,0,0,0,0,2,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,2,0,2,0,1,0,0,0,0,0,2,1,1,0,0,2,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,2,1,0,0,1,0,0,1,2,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,2,2,0,2,1,1,1,1,0,0,0,0,0,1,0,2,0,0,0,2,0,1,1,2,1,1,1,2,0,0,0,0,1,2,0,1,0,1,1,0,1,1,0,0,1,0,2,0,0,0,1,0,0,0,1,0,1,1,2,1,0,0,0,0,2,0,2,1,0,0,0,1,1,1,0,1,0,0,0,1,0,2,0,1,0,0,0,1,2,0,0,0,0,1,1,0,0,1,0,1,1,2,0,0,1,2,1,2,0,0,2,1,0,0,2,1,1,1,0,2,0,0,2,1,0,2,0,0,1,1,0,0,1,1,0,2,0,1,1,1,1,1,1,0,1,0,2,1,2,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,2,0,1,0,2,0,1,0,2,0,1,1,0,1,1,0,1,1,1,1,0,1,1,0,0,2,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,2,1,1,1,0,1,0,1,1,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,2,1,0,0,0,1,0,1,1,0,1,2,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,2,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0 0,0,1,2,0,1,0,2,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0,2,1,1,1,0,1,0,1,0,2,0,1,0,0,0,0,1,2,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,1,0,0,0,1,1,2,0,1,0,1,1,1,0,2,0,1,0,1,0,0,2,1,0,1,1,0,1,0,0,2,0,0,2,1,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,1,1,0,2,1,0,0,0,1,0,1,0,0,2,1,2,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,1,2,0,1,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,1,2,1,1,1,1,0,2,1,0,1,0,0,2,0,0,0,0,2,1,0,1,1,0,1,1,0,1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,2,1,0,2,0,1,0,0,2,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,2,0,1,0,0,1,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,2,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,1,2,0,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0,1,1,2,0,0,0,0,1,2,1,0,1,2,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,1,2,0,1,2,0,0,0,0,0,1,0,0,2,0,2,0,0,0,0,0,2,1,0,0,0,1,0,0,1,0,1,0,0,2,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,2,2,0,0,1,0,0,1,1,1,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,1,0,2,0,1,0,1,1,2,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,2,2,0,2,2,0,0,2,1,1,0,0,0,0,1,2,0,0,0,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,2,2,1,2,0,0,0,0,0,0,1,1,2,1,1,0,0,0,0,0,2,1,1,0,2,0,0,1,0,0,0,1,0,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,2,1,0,2,1,2,0,2,1,0,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,2,1,2,0,0,0,1,1,1,1,1,1,1,1,0,0,0,1,1,0,2,1,1,0,1,0,0,2,0,0,0,0,0,2,1,1,1,2,1,0,1,0,0,1,1,0,2,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,2,2,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,2,0,1,1,2,0,0,0,0,0,0,2,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,2,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,2,1,1,0,0,1,0,2,1,1,0,1,0,0,2,1,0,1,0,0,2,1,0,0,1,0,2,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,1,0,1,0,1,1,1,1,0,0,1,1,1,0,1,0,1,0,2,0,2,2,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0,2,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,2,0,1,1,0,0,1,0,1,1,2,0,0,1,0,1,1,0,1,0,1,1,0 1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,2,0,2,1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,1,1,0,0,0,0,2,1,1,0,0,0,1,0,0,1,1,1,1,0,1,1,0,2,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0,2,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,2,0,0,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,2,0,2,0,1,0,0,0,0,2,0,0,0,1,1,0,0,1,1,1,1,0,1,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,2,0,2,0,2,0,0,0,1,1,0,0,0,1,2,0,1,2,0,0,0,1,1,2,0,2,0,2,1,0,0,0,2,0,0,1,1,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,2,0,0,1,0,2,1,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,2,0,0,1,0,0,1,1,1,0,0,2,2,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,2,1,0,0,1,1,2,1,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0,1,1,1,1,1,0,1,1,0,0,2,1,0,1,0,1,0,1,1,0,0,2,0,0,0,0,0,0,0,1,1,2,1,0,0,0,0,1,1,0,1,0,1,0,0,1,2,0,1,1,1,0,1,0,1,2,0,0,1,0,0,0,1,1,0,0,0,2,0,0,1,0,0,0,1,0,0,0,0,0,2,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,1,1,2,0,0,1,2,1,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,1,2,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,2,0,0,0,2,0,0,1,0,1,1,1,0,1,1,1,0,0,0,1,2,0,0,2,1,0,0,2,0,1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,1,1,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,2,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,2,2,0,0,2,1,0,0,2,0,2,0,1,0,1,1,0,0,1,0,0,1,0,0,1,1,1,2,1,1,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,2,1,0,1,0,2,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1,2,0,1,2,0,0,1,0,0,0,1,0,2,0,1,1,0,0,0,0,1,2,1,1,0,0,0,1,1,0,2,1,2,1,0,0,2,0,0,2,2,2,0,0,0,0,1,1,2,2,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,1,2,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,1,1,1,0,0,2,0,0,0,0,1,0,0,1,1,2,1,1,0,1,2,1,1,1,0,0,0,0,2,0,0,0,0,2,0,1,1,0,1,1,0,0,2,1,2,0,0,2,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0 1,0,2,1,0,0,1,0,1,1,1,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0,1,2,1,0,1,0,0,0,2,1,1,0,0,0,0,0,0,1,0,0,2,0,0,1,0,1,2,1,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,2,0,1,1,2,0,1,1,0,2,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,1,2,0,0,0,0,1,2,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,2,0,1,0,0,2,0,0,1,0,1,0,1,2,0,0,1,0,1,1,0,1,1,0,0,0,0,2,0,1,1,1,0,0,1,2,2,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,1,2,2,2,1,0,0,0,0,1,0,0,0,1,1,0,0,2,1,0,1,0,1,0,0,1,1,0,0,1,0,0,2,1,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,2,1,1,1,0,0,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,0,1,1,1,2,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,2,1,0,0,0,0,1,0,0,0,0,0,1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,1,2,0,1,0,1,1,0,1,1,0,0,2,2,1,0,0,1,2,0,0,2,1,0,0,0,0,1,1,0,1,1,1,0,2,0,0,1,2,0,0,0,0,1,1,1,0,0,2,0,0,0,0,0,1,0,1,0,2,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,2,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,2,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0,2,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,1,2,1,1,1,0,2,1,0,0,2,1,2,2,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,1,1,0,0,0,0,0,2,0,0,1,2,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,2,0,0,2,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,1,2,0,1,0,2,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,2,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,0,1,0,1,0,2,0,0,0,0,2,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,2,2,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,0,1,0,1,1,1,0,2,2,0,0,0,1,2,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,1,2,1,1,1,1,1,0,0,1,1,0,0,0,1,0,1,2,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,2,2,1,0,0,0,0,0,1,0,1,0,0,1,2,1,1,1,2,1,1,0,0,1,0,0,1,0,1,2,0,0,0,0,1,1,0,0,0,1,0,1,1,2,0,2,0,0,0,1,0,0,2,1,0,0,2,1,0,1,2,0,1,1,0,1,1,0,0,0,2,0,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0,2,1,0,0,0,0,0,1,0,2,0,0,2,0,0,1,0,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0 1,0,1,0,1,0,0,0,0,0,2,0,0,1,0,2,0,2,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,2,0,1,2,0,0,1,2,1,0,0,1,0,0,2,0,2,0,1,0,1,0,0,1,1,2,1,0,0,0,0,2,0,0,0,0,1,1,1,1,2,1,0,1,0,0,0,0,0,0,2,0,1,1,2,1,0,2,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,2,0,2,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,2,0,2,1,1,1,2,0,1,0,1,1,1,0,1,0,0,0,0,1,0,2,1,1,1,1,1,1,0,1,2,1,2,0,1,0,2,0,1,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,1,2,1,0,0,0,0,0,2,1,0,0,1,1,1,0,0,0,0,0,1,0,0,2,0,0,1,1,0,1,1,1,0,2,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,2,0,1,0,0,0,0,1,0,0,1,1,0,1,2,0,0,0,0,1,0,0,0,2,1,0,0,1,0,0,0,0,0,2,1,2,1,0,0,0,0,1,0,2,0,1,0,1,1,0,0,0,0,2,1,0,1,2,0,0,0,1,1,0,0,0,1,2,1,0,1,0,0,0,0,2,0,0,1,2,0,0,0,0,1,0,1,2,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,1,0,0,1,1,1,2,0,1,0,0,1,1,1,0,1,2,2,0,0,2,0,0,0,1,0,0,0,0,0,1,1,1,1,0,1,1,0,1,0,2,0,0,0,0,1,1,0,0,1,0,0,0,1,0,2,0,1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,1,1,1,1,0,2,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0,1,0,0,0,2,2,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,2,0,0,0,2,0,0,1,2,0,1,0,0,0,1,1,1,0,0,2,1,1,1,0,0,1,0,1,0,0,1,1,0,1,1,1,0,2,0,0,0,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,2,0,0,0,1,0,1,0,0,2,0,0,1,0,1,1,1,0,0,1,2,1,0,0,0,1,0,0,1,2,0,1,1,0,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,1,0,1,2,0,1,0,1,1,1,0,0,0,0,1,0,1,1,1,0,2,1,1,0,0,1,1,0,0,0,1,0,0,0,0,2,0,2,0,0,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,2,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,2,0,0,0,1,0,0,0,1,2,1,0,1,0,0,0,0,0,1,1,1,0,1,0,2,1,0,1,0,0,0,1,1,0,2,1,2,0,1,2,1,1,0,0,0,0,0,0,1,1,0,0,0,1,2,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,0,1,0,1,0,2,0,1,0,1,1,2,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,2,1,0,2,1,0,0,0,2,1,0,1,0,0,1,0,2,0,0,1,0,1,1,0,2,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,1,1,0,1,0,1,2,1,0,0,1,1,0,1,1,2,0,0,1,0,0,1,2,1,0,0,0,1,1,1,0,1,0,0,0,2,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0 0,0,0,1,0,0,0,0,0,1,0,1,1,2,0,1,1,1,0,0,0,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,2,0,0,0,2,0,1,0,0,1,1,1,2,0,0,0,1,2,1,1,2,1,2,0,0,0,0,0,1,1,1,1,0,1,0,2,1,0,0,2,1,0,1,0,0,1,1,0,0,1,0,2,0,1,1,0,0,0,0,1,0,1,0,0,0,0,2,1,1,0,1,0,0,0,2,0,2,0,2,0,1,0,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0,1,0,1,1,2,1,2,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,1,2,0,1,0,0,1,0,2,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,2,1,2,0,0,1,0,1,2,0,0,0,1,0,1,0,0,0,1,1,0,0,0,2,0,2,1,0,0,0,0,0,2,2,0,0,0,0,1,0,1,1,1,0,0,2,1,0,2,2,0,0,0,0,0,0,1,1,2,0,0,0,2,0,1,0,1,0,1,1,1,2,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,2,0,0,1,0,0,1,1,1,1,0,1,0,0,0,0,2,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,2,0,0,0,1,2,1,0,0,0,0,0,2,2,0,0,1,2,1,0,1,1,1,0,1,2,2,1,1,0,0,0,0,2,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,2,1,0,0,1,2,2,1,1,0,1,1,0,0,1,0,2,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,2,1,0,2,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,2,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1,1,1,2,0,1,0,0,0,2,1,0,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,1,2,1,0,0,1,1,0,0,2,1,1,1,0,0,2,0,0,0,0,0,0,0,1,0,2,0,1,0,1,0,1,0,0,1,1,0,1,2,2,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,1,2,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,1,0,1,1,1,0,1,0,0,1,2,1,1,1,0,2,1,0,1,2,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,2,1,1,0,0,0,1,1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,1,0,1,0,1,1,1,1,1,0,1,1,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0,2,2,2,0,0,1,0,2,2,0,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,2,0,1,0,0,0,1,1,0,2,0,1,1,0,1,1,0,1,1,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,1,0,1,2,0,1,1,0,0,0,1,0,0,0,0,2,0,0,0,0,1,1,1,0,1,0,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0,0,1,2,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,2,2,1,0,0,1,0,1,2,0,2,1,1,0,0,0,1,1,0,1,0,0,1,0,0,2,1,1,0,0,0,0,1,0,1,2,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,0,1,1,2,0,1,0,0,1,0,1,0,0,0,0,1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,2,1,1,0 2,0,2,2,0,1,1,1,0,2,1,2,1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,2,2,0,0,1,1,0,1,0,1,0,1,0,0,0,2,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,1,1,1,0,1,0,0,0,0,2,0,1,0,0,0,2,0,2,0,1,2,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,2,1,1,0,0,1,0,1,1,1,0,1,1,1,1,2,0,0,1,2,0,0,0,2,0,0,0,1,1,0,1,1,1,0,0,2,0,0,0,0,1,0,2,1,0,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,2,1,0,1,1,0,0,0,0,0,2,0,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,1,2,2,0,0,0,0,1,0,0,1,1,2,2,1,0,0,2,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,2,1,1,1,1,0,0,0,1,0,1,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2,1,0,0,1,0,1,2,0,0,1,1,0,1,1,1,2,0,1,1,0,1,0,0,0,0,0,0,2,1,0,0,0,1,1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,2,0,0,0,0,1,0,2,1,0,0,0,0,0,2,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,0,2,0,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,2,1,2,0,1,1,0,0,1,0,0,1,1,0,0,2,1,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,1,2,0,2,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,1,0,0,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,2,0,1,0,1,1,0,2,1,1,0,0,0,1,1,2,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,2,0,1,1,0,1,2,1,0,1,1,0,2,1,0,1,0,2,2,2,2,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,2,0,2,0,0,0,2,0,0,0,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,2,1,0,0,1,1,0,2,0,1,0,0,1,1,2,1,1,1,2,0,0,0,2,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,2,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,1,0,0,0,1,1,2,1,0,0,0,1,1,0,0,2,0,1,0,0,1,0,0,1,1,0,1,2,1,0,1,1,0,0,0,1,0,1,0,1,1,0,2,0,0,2,1,0,2,0,2,2,0,0,1,0,1,1,0,2,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,1,1,0,0,1,1,1,2,0,1,0,1,0,1,0,0,1,0,0,1,1,0,1,0,1,0,2,0,0,2,0,2,2,1,0,1,0,1,0,1,1,1,0,2,2,0,0,0,1,2,0,0,0,1,1,2,0,1,1,1,0,0,0,1,0,0,2,0,0,1,0,0,1,0,1,1,0,1,0,1,0,0,2,1,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,2,1,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,1,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,1,0,2,0,0,1,0,0,0,0,0,2,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,2,0,1,1,0 1,0,2,1,1,0,0,1,1,2,0,0,1,0,1,0,1,0,0,0,0,0,2,1,1,1,1,0,0,1,2,0,0,1,0,0,0,0,1,0,1,1,1,2,2,0,0,0,0,1,2,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,2,0,0,0,0,0,1,1,1,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,1,1,0,2,1,1,0,2,1,0,0,0,0,1,0,0,0,1,1,1,1,0,0,1,0,1,2,1,0,0,0,0,1,0,0,0,0,1,2,1,0,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,2,1,1,1,0,1,0,1,0,1,0,0,2,0,0,0,0,0,0,0,1,0,0,1,1,2,2,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,1,2,2,1,1,1,0,0,1,1,0,1,0,2,0,2,1,0,0,1,1,0,0,0,0,0,2,1,2,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,1,2,1,0,0,0,1,0,1,0,0,0,0,1,0,0,2,0,2,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,2,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,2,2,0,1,2,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,2,1,0,1,0,0,1,0,0,0,1,2,1,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,2,1,1,1,0,0,0,2,0,1,0,0,2,2,0,0,2,0,1,0,2,0,0,0,0,1,0,1,0,0,0,0,0,2,0,0,1,1,2,0,0,0,2,2,1,2,0,0,0,2,0,0,1,2,0,0,0,1,1,1,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,2,2,1,1,2,0,1,0,0,1,0,0,1,2,1,0,1,1,0,2,0,1,1,1,2,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,2,1,2,1,1,1,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,2,0,0,0,0,0,1,1,0,1,0,0,0,1,2,0,1,1,2,0,0,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,2,1,1,1,1,0,1,1,1,0,1,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,1,2,1,1,0,1,0,1,0,1,1,0,1,2,0,1,1,2,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,1,0,1,0,0,0,1,1,2,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,2,1,1,0,0,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0,2,1,1,2,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,2,0,2,1,0,1,0,0,1,0,0,1,0,0,0,0,1,1,0,2,1,0,2,1,1,1,1,0,0,0,0,0,2,1,0,0,1,0,0,0,2,0,1,0,1,0,0,1,1,0,1,1,0,0,1,0,1,0,1,0,2,0,1,1,1,2,0,0,0,1,0,2,0,1,0,1,2,2,0,1,1,1,0,1,0,0,0,0,0,1,2,0,1,0,0,1,0,1,0,2,0,0,1,0,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,2,1,0,1,0,0,0,1,1,1,1,1,1,1,0,1,0,2,0,0,0,0,2,0,2,0,2,0,0,0,0,0,0,0,1,1,2,0,0,1,0,0,0,2,1,0,0,0,2,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,2,0,1,2,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,2,0,0,0,1,0,0,1,0,0,0,0,0,1,1,2,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,2,1,1,1,0 1,0,0,1,1,0,0,0,1,2,1,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,2,0,1,0,0,1,0,2,2,1,2,2,1,0,0,0,0,1,1,1,0,2,0,1,0,1,2,1,0,0,0,1,0,1,0,0,0,1,0,2,1,0,1,0,0,1,2,0,0,0,0,1,1,1,1,1,1,2,0,0,1,2,2,1,1,1,0,0,0,1,1,2,0,1,0,0,0,1,0,0,0,2,1,0,0,1,0,0,0,0,0,0,1,1,1,2,1,2,0,0,0,1,0,0,0,1,2,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,2,1,1,1,1,0,2,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,0,0,0,2,1,0,0,0,0,2,1,2,0,0,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,0,1,1,0,0,1,0,0,1,1,1,0,2,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,1,2,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,1,2,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0,2,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,2,0,2,1,0,0,0,0,1,2,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,2,1,1,0,0,0,1,1,2,1,2,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,2,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,2,1,0,1,1,1,0,1,1,0,0,2,0,0,2,2,1,0,1,0,1,0,1,0,1,0,0,1,2,0,1,0,2,2,0,1,1,0,0,0,0,0,2,0,0,0,1,1,0,0,1,1,1,1,0,1,1,0,2,0,2,1,0,0,0,0,1,1,0,0,0,2,2,0,0,0,0,0,1,2,1,2,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,1,0,0,2,0,0,1,0,0,2,0,1,0,1,0,2,0,1,1,0,0,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,2,0,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,2,2,1,0,0,1,0,1,0,0,1,2,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,2,2,1,1,0,0,0,0,1,0,2,1,0,2,1,1,0,1,0,1,2,0,0,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,1,2,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,1,1,1,0,1,0,0,0,0,0,0,2,0,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,1,1,0,1,0,2,0,0,0,2,0,0,2,0,1,0,0,1,0,2,2,0,0,2,1,1,0,0,2,0,0,1,0,1,1,1,1,0,0,2,2,2,0,0,0,0,0,0,0,1,0,0,2,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0 0,0,0,0,1,0,0,1,1,2,2,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,2,1,1,0,0,1,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,2,2,0,0,0,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0,2,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,2,1,0,2,2,0,0,0,0,0,1,0,0,2,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,2,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0,2,0,2,2,0,2,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,0,1,2,0,0,0,2,0,1,1,1,2,1,1,0,2,1,0,0,2,1,1,1,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,2,0,0,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,1,1,1,1,0,1,1,0,0,0,1,0,2,1,2,0,1,2,0,0,0,1,1,0,0,1,0,2,0,0,1,0,0,0,0,1,1,0,0,0,1,2,0,0,1,1,0,0,0,1,1,0,0,2,0,0,0,1,1,0,0,0,1,0,0,0,2,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0,2,1,1,0,0,1,0,0,1,0,1,2,0,0,0,1,0,0,1,0,0,0,1,1,0,0,1,0,0,1,2,0,0,0,2,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,2,0,1,0,2,0,0,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,2,0,0,2,1,2,1,1,1,1,1,0,0,1,1,1,0,2,0,0,0,1,0,1,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0,2,0,0,1,0,0,0,1,1,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,1,1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,2,0,0,1,0,0,1,0,2,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,2,0,1,0,1,0,0,1,0,1,0,0,0,1,1,0,0,1,1,0,2,0,0,0,2,1,1,0,0,0,0,0,0,2,0,0,0,1,1,1,0,0,0,1,1,1,0,1,1,0,0,2,0,0,0,1,0,0,0,0,1,0,1,0,2,0,0,1,1,1,2,1,0,0,0,1,2,0,1,1,1,0,1,0,1,1,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,0,1,0,2,0,1,2,0,0,0,1,0,1,0,2,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,0,2,1,2,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,1,0,0,1,0,1,1,0,2,0,2,1,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,2,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,2,1,0,1,0,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0,0,2,1,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,1,2,0,1,0,1,1,0,0,2,0,0,1,0,0,0,2,0,0,0,0,0,0,1,1,0,0,0,2,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,0,1,2,0,0,1,0,0,0,2,0,1,1,1,1,1,0,2,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,0,0,0 0,0,0,2,1,0,1,1,0,0,0,2,0,1,1,2,0,2,0,0,0,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,2,1,2,0,0,0,1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,1,2,1,0,1,0,1,0,2,0,0,1,0,1,0,2,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,2,2,0,0,1,1,1,1,0,0,1,0,0,0,2,0,0,0,1,1,1,0,0,0,0,1,1,1,0,1,1,0,2,2,1,0,0,1,0,0,0,0,0,2,1,1,0,0,1,2,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,2,1,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,2,1,1,0,1,1,0,0,2,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,2,2,0,0,1,0,0,0,0,0,0,2,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,1,0,1,1,2,0,1,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,1,0,1,2,1,0,0,1,0,2,1,0,0,0,0,2,2,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,2,0,1,0,0,1,0,1,0,1,0,0,2,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,1,0,2,0,1,1,0,0,0,1,0,1,0,0,0,1,1,0,1,2,1,0,0,0,1,0,0,0,0,1,1,0,2,0,0,0,0,0,1,1,2,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0,1,2,1,0,0,1,1,0,2,1,0,0,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,1,1,2,0,1,1,0,1,1,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,2,0,0,2,0,0,0,1,0,0,1,0,1,2,0,0,1,2,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0,1,2,0,1,1,0,0,2,2,0,0,0,0,1,2,0,1,0,0,0,1,0,0,1,0,0,1,1,2,2,0,0,0,0,0,2,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,2,0,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,2,1,1,0,0,1,2,0,0,1,0,1,1,1,2,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,1,1,0,2,1,0,0,1,0,0,1,1,2,1,0,1,1,1,1,0,0,1,1,0,2,2,1,0,1,2,1,0,0,1,0,0,0,0,0,0,1,0,2,0,1,2,0,0,2,0,1,0,1,0,0,0,0,1,0,1,1,1,0,0,1,0,0,1,0,2,1,0,0,0,1,0,1,1,0,1,1,1,0,2,1,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,2,0,0,1,1,1,1,0,0,0,1,1,0,2,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,2,1,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,2,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,1,1,1,0 1,0,0,2,0,0,1,0,0,2,1,1,0,1,1,1,1,2,0,0,0,0,0,1,2,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0,1,1,1,2,1,0,0,0,0,1,1,1,0,0,0,0,1,0,2,1,1,0,0,0,0,2,0,1,0,0,1,0,0,0,1,0,0,2,0,0,0,0,1,1,1,2,1,0,1,1,2,1,0,0,0,0,0,0,2,0,1,2,1,1,2,1,0,0,0,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,2,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,1,0,2,0,1,1,0,1,0,0,0,0,0,1,0,2,1,0,0,0,0,2,0,0,0,0,0,0,1,0,0,1,2,0,1,0,2,0,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,1,1,1,0,0,1,2,2,0,1,2,0,0,1,2,0,1,0,1,0,1,2,1,1,1,0,0,2,0,1,0,1,0,1,0,0,0,1,2,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0,2,0,2,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,2,0,2,2,0,0,1,0,1,1,0,1,0,1,2,2,0,0,2,1,1,2,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,2,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,1,2,0,0,2,2,1,0,1,0,1,1,0,2,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,2,0,1,0,0,1,0,1,0,0,0,1,1,1,0,2,0,0,0,0,2,1,0,1,0,0,0,0,1,0,1,0,2,0,0,0,2,1,0,1,1,0,0,2,1,1,2,0,1,1,0,0,0,0,0,2,0,1,0,0,2,1,0,1,1,0,0,0,1,1,1,2,0,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,1,1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0,1,0,2,1,0,1,0,1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,2,1,1,1,0,0,1,0,1,1,1,2,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1,2,1,0,0,1,0,0,1,0,0,1,2,0,1,1,0,1,1,0,1,0,0,0,0,2,0,2,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,0,1,1,0,1,0,0,0,1,1,2,0,2,2,0,0,0,0,1,1,0,1,2,0,0,1,0,1,1,0,1,1,1,1,0,1,0,2,1,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,1,1,1,1,2,1,1,0,1,0,2,0,0,0,1,2,1,0,0,1,2,0,0,1,0,0,1,0,1,1,0,1,1,2,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,2,0,0,1,1,1,0,1,1,1,1,0,0,0,1,1,1,2,0,0,1,1,1,1,1,0,1,0,0,0,2,0,0,0,1,0,0,2,0,0,0,0,1,1,0,0,2,0,0,1,0,0,1,0,0,1,1,0,0,0,0,2,0,1,0,0,0,1,1,1,2,2,1,2,0,0,0,1,1,0,0,0,1,1,2,0,1,1,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,2,1,1,1,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,2,0,1,1,0,2,1,1,1,2,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,2,0,0,0 0,0,1,0,0,1,0,1,1,2,1,1,0,0,0,0,0,0,1,0,0,0,1,0,2,0,1,1,0,1,0,0,1,2,0,1,2,1,1,0,0,0,0,2,0,0,0,1,1,0,1,0,1,0,1,0,1,0,1,2,0,0,0,1,1,0,0,2,1,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0,2,0,2,0,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,1,0,0,2,0,0,0,1,0,0,0,0,1,2,0,1,0,0,0,0,0,1,1,1,0,2,0,0,0,0,2,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,1,2,0,1,0,0,1,0,2,0,0,1,0,0,0,0,0,1,0,2,0,1,1,2,1,2,0,0,0,0,0,0,2,0,0,0,1,2,0,2,0,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,2,1,1,0,1,0,1,0,0,0,1,0,1,0,2,1,0,1,1,0,0,0,0,0,0,1,0,2,0,0,0,0,1,1,0,0,0,1,0,0,2,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,2,0,0,0,1,1,0,0,0,1,2,0,2,2,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,2,0,1,0,0,0,1,0,0,1,1,2,1,0,2,0,1,0,1,0,2,1,0,0,0,2,2,1,1,0,0,2,1,0,0,1,0,0,0,1,1,1,0,1,0,2,0,0,0,2,0,2,1,1,0,0,0,0,2,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,1,2,0,1,0,1,2,2,1,0,1,1,1,0,2,1,0,1,0,0,0,1,1,0,1,0,1,0,1,1,1,1,0,1,2,0,1,0,2,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,2,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,2,0,0,0,0,0,2,1,0,0,0,1,0,0,1,2,0,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,2,2,0,1,0,1,2,0,0,0,0,0,0,1,1,0,1,1,1,0,0,2,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,2,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,0,1,1,0,1,0,0,0,1,1,0,0,2,0,0,0,1,0,0,1,0,0,1,2,0,1,1,0,0,2,0,0,2,0,1,2,0,0,0,0,0,0,0,1,0,1,2,0,2,2,0,0,0,0,2,1,0,2,1,0,0,0,0,0,1,0,0,0,0,2,1,1,1,1,0,1,0,0,0,0,0,0,1,1,1,2,0,0,0,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0,1,0,2,1,0,0,0,2,0,1,1,0,1,0,1,1,2,1,1,1,0,0,2,1,0,2,0,1,0,1,0,1,0,0,1,0,2,0,0,0,0,1,2,0,0,0,1,0,1,1,0,1,2,1,0,0,1,0,0,1,1,0,0,0,2,0,0,1,0,0,0,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,2,0,0,1,0,0,0 0,0,1,1,0,0,0,0,0,1,1,0,1,1,1,1,0,2,0,0,0,0,0,0,1,1,2,2,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,2,1,0,0,1,0,2,0,1,1,0,0,1,0,0,1,2,0,0,1,2,1,0,1,1,1,0,0,0,2,1,0,0,1,0,0,0,0,0,0,1,1,0,1,1,1,1,1,1,0,0,1,0,2,0,0,0,0,1,1,0,2,2,0,0,0,0,0,0,0,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,2,1,0,1,0,1,1,1,0,1,0,0,1,2,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,2,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,2,1,2,0,0,1,0,1,0,2,1,0,1,0,2,1,2,0,1,0,1,0,1,1,1,0,2,0,1,1,0,1,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,2,0,0,2,0,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,1,1,2,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,2,1,0,1,0,1,1,1,1,0,1,0,1,2,0,0,1,1,2,2,1,2,0,0,0,1,0,1,0,2,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,2,2,0,0,1,0,0,0,0,0,0,1,2,1,1,0,2,0,1,0,2,0,2,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,2,1,1,1,0,0,0,1,0,0,1,1,0,2,0,1,0,1,1,0,0,1,0,2,0,0,0,0,1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,2,0,1,2,0,2,0,1,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,1,0,1,2,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,2,1,0,0,1,0,0,0,0,0,0,2,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,1,1,2,1,2,0,2,1,0,0,1,1,0,1,0,1,0,2,1,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,0,1,1,1,0,2,0,1,2,0,1,1,0,1,1,1,0,0,0,1,1,2,0,0,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,0,2,0,2,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,2,0,0,2,0,1,0,2,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,2,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,2,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,1,2,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,1,1,1,0,1,1,0,1,0,0,0,0,2,1,1,1,0,2,0,0,2,2,1,0,0,0,0,0,0,2,0,1,1,0,1,2,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,1,0,1,1,1,1,1,0,2,0,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,1,1,1,2,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,1,0,2,0,2,0,0,2,0,0,1,1,0,2,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0 0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,2,1,1,0,2,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,2,0,1,1,0,0,0,0,0,0,1,1,0,1,0,1,2,1,1,1,0,0,0,0,0,1,2,1,1,1,0,0,1,1,0,0,0,1,2,0,1,1,0,1,1,0,2,2,1,0,0,0,0,0,0,0,1,0,2,0,0,0,1,1,0,0,0,0,0,1,1,0,1,2,0,1,0,0,1,1,0,0,0,1,0,1,2,1,1,1,1,0,0,1,0,1,1,2,2,0,0,1,0,0,0,1,1,0,0,2,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,2,1,1,0,2,1,1,0,2,0,0,0,1,0,1,0,0,1,0,0,1,1,1,2,1,0,1,0,1,0,2,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,2,2,1,0,0,0,1,0,0,0,0,0,1,2,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,2,2,1,0,0,0,1,1,1,2,1,0,0,0,0,0,0,2,0,0,0,2,1,0,1,0,0,1,0,0,1,1,0,1,0,1,0,1,0,2,1,1,1,0,0,1,0,0,1,1,2,0,0,1,1,0,1,2,1,0,1,0,1,1,2,0,0,1,0,2,0,0,1,1,1,1,0,1,0,1,0,0,2,0,2,1,0,0,0,1,0,0,0,0,2,1,2,1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,2,0,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,2,1,0,0,1,2,0,0,1,1,1,0,0,0,1,1,0,0,0,0,2,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,2,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,1,1,2,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,2,0,0,0,1,0,0,1,2,0,0,0,1,0,2,0,1,1,2,0,1,1,0,1,0,0,1,1,1,1,0,0,2,0,1,1,1,2,1,1,1,1,2,0,2,1,0,2,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,2,1,0,1,0,0,0,1,0,0,1,0,2,0,1,0,1,2,0,1,0,0,1,1,0,1,0,0,0,1,0,0,2,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,1,0,2,2,1,1,0,1,0,1,0,1,1,1,0,0,1,0,2,0,0,1,0,0,1,0,0,0,1,1,2,0,1,0,1,0,0,1,2,0,0,2,0,1,0,0,0,1,0,0,0,1,1,0,2,0,0,0,1,1,0,1,0,1,1,2,0,0,2,0,2,0,1,0,0,1,0,0,1,0,0,0,2,0,0,1,0,1,1,0,0,2,0,1,1,0,2,2,1,0,0,0,1,0,1,2,1,1,1,0,0,1,0,1,2,1,1,0,0,2,0,0,0,0,2,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,1,2,1,0,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0,2,0,2,0,2,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,2,0,0,0,0,0,0,1,0,2,0,1,0,0,1,0,0,0,0,0,2,0,1,0,0,2,0,0,1,0,0,0,0,1,1,1,1,0,1,1,0,1,0,1,0,2,2,0,1,0,0,0,2,0,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0,2,0,0,0,0,0,1,0,0,2,0,0,2,0,0,1,1,0,0,0,2,2,0,0,0,0,0,1,2,1,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,2,0,1,0,2,0,2,0,0,1,0,0,0,1,0,1,1,0,2,0 1,0,0,1,1,0,0,1,0,1,1,1,1,2,2,0,1,1,1,0,0,2,0,0,0,2,0,1,1,0,1,0,2,1,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,2,0,0,0,0,0,0,1,0,0,1,0,1,0,2,0,1,0,1,1,0,1,0,1,0,0,2,2,1,0,0,0,0,0,2,0,1,0,2,0,1,0,2,0,0,2,1,1,0,1,0,1,1,1,2,0,0,1,1,0,0,2,1,1,0,1,0,0,0,0,0,2,2,0,1,0,2,1,0,0,0,0,1,0,2,0,0,1,0,2,1,1,0,1,2,0,0,0,0,1,0,1,0,0,0,1,1,0,2,2,0,0,0,0,2,1,0,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,1,0,0,2,0,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,1,0,2,1,0,0,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,2,2,1,1,0,0,2,2,0,0,0,1,0,0,0,2,0,1,0,0,0,2,0,0,0,0,0,0,1,1,1,1,0,2,1,0,0,1,0,1,0,0,0,0,0,0,0,2,1,1,0,0,0,2,0,0,1,0,0,2,2,0,1,0,0,1,1,1,0,1,0,0,0,0,1,2,2,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0,2,1,0,0,0,1,1,2,0,1,1,0,0,1,0,0,0,0,2,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,2,1,0,0,1,0,0,2,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,2,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,0,2,0,0,0,1,1,2,0,1,0,0,0,0,0,1,0,1,1,2,0,0,1,1,2,1,0,0,0,0,0,0,0,1,2,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,2,0,0,2,1,0,0,0,1,0,1,0,0,1,0,1,0,0,1,2,1,2,2,0,0,0,0,0,0,0,2,0,0,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,2,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,1,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,2,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,2,1,0,1,0,1,0,2,0,2,0,0,0,0,0,0,2,1,0,0,1,0,1,0,0,0,2,0,0,0,2,2,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,2,0,1,1,1,2,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,2,0,1,2,0,1,1,0,1,0,1,0,0,0,1,1,0,2,0,2,0,0,0,1,0,1,0,1,0,2,0,1,2,1,1,0,0,1,0,0,1,0,1,2,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,1,2,0,1,1,1,0,0,1,1,1,1,0,0,0,2,0,1,2,0,1,1,2,0,0,0,1,0,0,0,0,1,1,2,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,2,1,0,0,1,1,0,2,2,1,0,0,1,1,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,2,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,2,0,1,0,0,0,1,1,0,0,0,2,0,1,1,1,0,1,0,0,1,0,1,0,0,2,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,2,1,1,1,0,2,0,0,0,0,0,1,0,0,1,0,1,0,0,2,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0 1,0,1,0,1,1,0,0,1,2,2,0,0,2,0,0,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,1,2,1,1,0,0,0,2,0,1,0,2,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,2,0,1,1,0,0,1,0,1,2,0,0,0,0,1,1,0,1,0,1,0,1,0,2,0,2,1,1,1,0,0,0,0,1,0,0,2,0,1,1,0,1,1,0,0,0,1,1,2,0,0,2,0,1,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,2,1,0,2,0,1,0,1,0,0,0,2,0,1,1,0,1,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,1,2,1,0,0,1,1,1,2,1,0,2,0,2,1,0,1,1,0,1,2,0,0,2,0,0,0,0,1,1,1,0,2,0,1,1,2,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,2,0,0,1,2,1,2,0,1,0,1,0,0,0,0,0,0,1,0,2,1,0,1,0,1,0,0,1,0,0,0,1,2,0,0,2,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,2,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,2,0,0,0,1,0,2,0,0,0,0,2,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,2,1,0,1,1,0,2,0,1,2,0,0,1,0,0,2,0,1,1,0,1,0,2,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0,2,0,1,0,1,0,2,1,0,0,1,0,0,0,0,1,1,0,1,0,0,2,0,0,1,0,1,0,1,0,2,1,0,0,1,1,0,1,0,0,2,0,0,0,0,2,1,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,2,0,1,2,0,0,0,1,0,0,1,2,1,2,0,1,2,0,1,2,0,1,0,1,0,0,0,2,0,0,2,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,2,0,1,0,1,0,0,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0,2,0,0,0,0,1,0,2,0,1,0,0,0,1,1,0,0,0,0,0,1,1,1,0,1,2,0,1,0,0,0,0,1,1,1,2,1,0,0,0,0,0,0,1,2,1,1,1,1,0,0,0,2,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,2,2,1,0,0,2,1,0,0,0,1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,1,2,0,2,1,1,1,0,2,0,0,1,1,0,0,0,2,1,0,0,0,1,0,1,0,0,2,0,0,0,0,2,0,0,0,1,0,0,1,1,1,0,2,2,2,0,0,1,0,1,1,0,2,1,1,1,2,0,1,0,1,0,2,0,0,0,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,1,2,1,0,1,1,0,1,1,1,0,0,0,0,0,1,2,0,1,0,1,0,1,0,1,2,0,0,0,1,0,0,0,0,1,1,1,0,0,2,0,1,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,1,1,0,0,1,0,0,1,1,1,1,2,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0,1,2,0,0,0,0,0,2,1,0,0,0,1,1,0,0,1,0,0,1,0,1,1,2,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0,1,2,0,0,0,0 0,1,0,0,1,1,1,1,0,1,1,0,0,2,2,0,1,0,1,0,0,0,1,0,0,0,0,2,0,0,2,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,2,1,0,1,0,1,2,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,2,0,0,1,1,1,1,0,1,1,1,0,2,0,2,0,1,2,0,0,1,0,1,0,0,1,0,0,2,0,1,0,1,0,0,0,0,1,0,0,0,0,2,1,1,1,1,2,0,1,1,0,0,1,1,0,0,0,1,0,0,0,2,1,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,2,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,2,1,1,2,0,2,0,0,1,1,1,0,2,0,0,1,0,0,0,0,0,1,1,1,0,0,2,0,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0,2,0,0,2,1,1,0,0,1,2,0,0,2,1,1,1,1,0,0,0,1,0,1,2,1,2,0,0,1,1,2,1,0,0,0,0,0,2,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,2,0,0,0,0,1,0,0,2,1,0,1,2,1,2,0,0,0,2,2,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,2,2,1,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,0,0,2,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,2,0,0,0,0,2,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,2,0,1,2,1,1,0,0,1,0,2,0,1,1,0,1,0,1,1,2,0,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0,2,1,1,0,0,1,2,0,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,2,1,0,0,0,0,2,1,2,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,2,1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,2,0,1,0,0,1,0,0,0,1,1,0,1,0,2,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,2,0,1,1,2,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,0,2,0,0,2,1,0,1,1,1,0,1,0,2,0,0,1,1,0,1,2,1,1,1,0,2,0,2,1,1,2,0,1,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1,2,0,0,1,1,1,2,0,1,0,0,0,0,1,0,0,1,0,2,1,1,1,0,1,0,0,1,0,1,0,0,0,1,2,0,2,0,0,0,2,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,2,2,0,1,1,0,1,0,0,1,1,0,0,0,1,1,1,1,0,1,0,0,1,1,1,2,0,0,2,1,1,0,0,2,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,2,0,1,0,1,0,0,0,0,1,1,1,1,0,0,1,0,1,1,1,1,0 1,0,2,2,1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,2,0,0,0,1,1,1,1,2,0,0,0,1,0,1,0,0,1,0,0,1,1,2,1,1,1,0,0,1,0,0,0,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,2,2,0,0,0,0,1,0,1,0,2,0,0,0,2,0,2,2,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,2,0,0,2,0,1,0,0,0,0,2,0,0,1,2,2,0,0,0,1,0,0,0,0,1,1,2,0,0,0,1,2,0,0,2,0,1,1,0,2,0,1,0,1,1,0,1,0,0,0,1,1,0,1,2,1,1,0,0,2,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,1,2,2,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,2,1,2,0,0,0,2,2,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,2,0,0,0,1,0,1,0,0,0,1,0,2,1,0,1,0,2,1,1,2,0,1,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,2,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,2,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,2,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,2,0,0,0,1,0,2,2,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,2,0,2,1,2,1,0,2,1,2,0,0,1,2,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,2,0,0,1,1,0,2,0,0,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0,2,1,0,0,0,1,1,0,2,2,0,0,1,0,2,2,0,1,0,0,0,0,1,0,0,2,0,0,0,2,2,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,2,1,0,1,0,0,1,0,0,0,0,2,0,1,0,2,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,2,1,1,1,0,0,0,1,0,1,1,2,1,0,2,0,0,0,0,1,0,2,0,1,0,1,1,1,2,0,0,0,2,1,1,0,1,0,1,2,0,1,0,0,1,1,1,0,0,1,2,1,1,0,0,1,1,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,1,2,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,2,0,0,1,1,0,0,0,1,0,0,2,0,0,0,0,0,2,1,1,1,1,1,1,0,2,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,1,1,1,2,0,1,0,0,0,2,0,0,0,1,0,1,0,0,1,0,0,0,0,0,2,1,1,0,2,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,2,1,1,1,0,2,1,0,0,0,0,0,1,1,0,1,0,1,1,1,2,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,2,1,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,1,1,1,1,2,0,0,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,2,0,0,2,1,0,0,1,0,0,2,2,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0,2,2,1,0,0 0,0,1,2,1,0,1,0,1,2,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,2,0,1,1,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,2,1,0,1,2,1,1,0,0,0,2,0,0,2,0,1,0,1,1,1,0,0,0,0,0,1,0,2,2,0,0,1,1,0,0,0,0,0,2,1,2,0,0,1,1,2,1,0,0,0,1,0,0,0,2,0,0,0,0,1,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,2,2,0,1,0,0,1,0,2,0,1,1,0,2,0,1,1,0,1,1,0,2,1,0,1,0,0,0,0,2,1,0,1,1,0,0,0,1,2,1,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,2,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,1,0,1,0,0,2,0,1,0,1,0,1,0,1,0,2,0,0,1,0,0,0,0,2,0,0,0,0,1,0,1,2,0,0,0,0,1,1,0,0,0,0,1,0,1,2,0,1,0,0,2,0,0,1,0,1,2,0,0,1,0,1,0,1,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,2,2,1,0,0,1,0,0,0,1,1,0,1,0,0,0,2,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0,2,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,2,0,2,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,2,0,0,0,0,0,2,0,1,1,1,1,0,1,0,0,2,0,0,1,1,0,1,0,1,0,0,1,0,0,1,1,2,0,0,1,0,1,0,0,0,1,0,1,1,1,0,0,0,0,1,1,0,2,0,1,0,0,2,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,2,2,0,2,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,2,1,1,1,1,0,0,0,1,1,1,0,0,2,1,1,2,1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,1,1,0,1,1,1,1,0,0,1,1,2,0,0,0,0,2,1,0,0,0,1,1,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,2,1,2,2,0,1,1,2,1,0,1,0,1,0,0,2,1,0,0,0,0,2,1,2,1,1,1,1,0,1,0,1,2,1,0,1,1,0,1,0,2,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,2,1,1,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,2,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,1,2,0,2,0,1,0,0,0,0,0,1,1,1,1,2,2,2,1,1,0,0,1,0,0,0,1,2,0,0,0,0,1,0,1,0,0,1,0,0,1,1,1,1,2,0,1,0,2,0,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,1,1,0,2,0,0,0,2,1,0,1,0,0,1,0,1,0,0,0,0,1,0,2,1,0,0,0,0,1,1,1,0,1,0,2,1,0,0,0,0,0,2,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,0,2,0,1,2,2,0,1,0,0,2,0,1,0,0,0,0,1,0,2,1,0,1,1,0,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,2,1,0,0,0,1,0,1,1,0,1,0 1,0,0,0,1,0,0,0,0,0,2,0,0,0,2,0,0,1,0,0,0,0,1,1,1,1,2,1,0,0,0,0,0,1,0,0,0,1,0,0,1,2,1,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,2,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,2,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,2,2,1,0,0,0,0,1,0,0,2,2,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,1,0,1,0,0,2,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,2,2,0,2,2,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,1,2,0,0,0,1,0,0,0,1,0,1,2,1,1,0,1,2,1,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,1,0,0,1,1,2,0,1,1,0,0,0,2,0,0,1,1,1,2,1,1,1,2,0,0,1,0,0,2,0,1,0,0,2,0,0,0,0,0,0,0,1,1,1,0,0,2,0,0,0,0,0,0,2,0,2,0,0,2,1,0,0,1,2,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,2,0,2,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0,1,2,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,2,1,0,2,0,2,0,0,1,1,1,1,0,0,0,1,1,0,1,1,2,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,2,1,2,1,0,1,0,0,0,0,1,2,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,1,1,0,0,0,1,2,1,0,0,1,1,1,2,1,0,1,1,0,0,0,1,0,2,1,0,1,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,2,1,0,0,1,0,0,1,1,1,1,0,1,1,1,1,0,1,2,1,0,1,0,1,0,0,0,1,1,1,0,1,0,2,0,1,1,0,0,0,0,0,1,0,1,1,1,2,0,0,0,0,0,0,0,0,0,1,0,0,2,1,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,2,0,2,1,0,0,0,0,1,0,0,1,0,0,1,1,1,0,2,2,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,2,1,1,1,0,1,0,1,2,1,2,2,1,2,0,1,2,0,0,2,1,0,1,1,1,1,0,0,1,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,2,1,0,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0,2,0,0,0,2,1,1,1,0,0,0,1,0,1,0,1,1,0,0,2,0,0,0,1,1,0,1,0,2,0,0,0,1,0,1,0,2,0,0,1,1,0,0,0,0,2,1,0,0,2,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,2,0,0,0,0,0,2,0,1,0,1,2,2,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,2,0,0,0,0 0,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,1,1,2,0,1,2,0,0,2,0,1,1,2,2,1,2,1,2,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,1,2,1,1,1,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,0,2,0,2,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,2,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0,1,1,0,1,1,1,1,2,2,0,1,0,0,1,0,2,1,0,0,0,0,0,0,2,0,1,0,0,1,2,0,1,0,1,1,0,2,0,1,1,2,0,0,1,0,0,1,0,0,1,2,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,1,1,0,1,2,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0,2,0,2,1,0,1,0,0,0,1,2,2,0,0,0,1,2,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,0,1,0,1,2,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,2,1,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,1,1,1,1,1,1,1,2,1,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,2,0,1,1,0,1,0,1,0,0,1,0,1,0,0,2,0,1,0,0,0,1,0,0,1,0,0,2,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,2,1,0,1,1,0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,1,1,0,0,1,2,0,0,0,1,0,0,0,0,0,1,0,0,2,1,2,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,2,1,2,1,1,2,0,0,0,1,0,1,0,2,1,0,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,2,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,2,1,0,0,1,0,1,1,2,0,1,2,0,0,1,1,2,0,0,0,0,0,0,1,1,0,0,2,0,0,2,1,0,1,1,1,0,0,0,0,2,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,0,1,2,0,1,0,0,1,0,0,0,2,0,0,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,2,1,0,0,2,0,0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,1,1,0,0,1,1,1,2,1,0,1,1,0,1,0,0,0,2,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,2,0,0,0,1,0,0,0,2,1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,1,1,2,0,1,0,0,1,0,1,0,1,1,1,2,0,1,1,1,0,0,0,0,0,0,0,0,2,2,2,1,0,0,0,1,2,1,1,1,0,0,1,2,0,0,0,0,0,0,1,1,1,0,2,0,1,0,0,0,0,1,1,0,1,1,1,2,0,0,1,0,0,0,0,2,1,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0,2,1,1,1,1,2,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,1,0,0,0 2,0,1,1,0,0,0,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,2,0,0,1,1,0,0,0,0,0,2,2,1,1,2,1,1,2,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0,1,1,2,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,1,1,2,1,0,1,1,2,1,0,0,1,0,1,0,0,0,1,1,0,2,0,1,0,0,0,1,2,1,0,1,0,2,0,2,1,0,0,2,1,0,0,0,0,1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,2,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,2,0,0,0,0,0,0,0,1,0,0,0,1,1,0,2,0,0,2,0,0,0,0,1,0,1,0,0,2,1,0,2,0,0,0,0,0,0,1,2,0,1,1,2,0,1,1,1,0,2,0,0,0,0,1,0,2,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,2,0,1,1,0,0,1,1,0,2,0,1,0,1,0,1,1,0,0,0,0,2,1,0,0,0,0,0,2,2,0,0,0,1,0,1,0,0,1,1,2,2,1,0,0,2,1,1,0,0,0,0,0,1,2,1,1,1,0,2,0,2,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,1,1,1,0,0,2,1,0,0,1,1,0,1,0,2,0,0,0,0,2,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,2,2,0,1,1,1,0,0,2,1,1,0,1,0,0,1,0,1,2,0,2,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,2,1,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,2,0,0,0,1,0,0,1,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,2,1,1,2,1,1,0,2,1,0,0,1,0,1,0,2,1,0,0,0,0,2,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,1,1,0,2,0,0,0,1,1,1,1,0,1,1,2,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,1,1,1,0,0,1,2,0,1,1,0,0,0,0,0,1,0,0,1,1,1,2,0,1,0,0,1,0,1,2,2,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,2,0,0,1,1,1,0,0,0,1,0,0,0,1,1,2,0,0,0,1,1,1,0,0,1,1,0,1,1,0,1,1,2,0,0,0,0,1,1,0,2,0,1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,2,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,2,0,0,2,0,0,1,2,0,0,1,1,0,1,2,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,2,1,0,1,0,0,0,0,0,0,2,2,0,2,0,1,0,0,0,0,0,2,1,0,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,2,2,0,0,1,1,1,0,1,0,1,0,1,0,1,2,2,0,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,1,1,1,1,1,0,2,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,2,1,0,1,0,1,0,0,0,1,2,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,2,1,0,2,0,0,2,0,0,2,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0 2,0,1,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,2,0,1,0,0,1,1,0,2,1,0,1,1,1,0,2,0,1,2,0,0,0,0,0,0,1,1,1,0,0,0,1,0,2,1,0,0,0,2,0,1,1,1,0,2,0,0,0,0,0,0,2,1,2,1,0,1,1,2,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,2,0,0,0,0,0,1,1,1,1,1,0,2,1,0,0,1,0,1,2,0,1,1,0,0,1,0,2,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,2,1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0,2,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,1,1,2,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,2,0,0,0,0,1,0,1,1,2,1,1,1,0,0,2,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,2,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,2,0,0,0,0,1,1,1,0,1,2,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,1,2,1,0,1,1,0,1,0,2,0,0,0,0,1,1,0,1,1,2,0,0,1,0,2,0,0,0,0,1,0,1,0,0,1,1,1,1,2,1,0,0,0,0,1,2,1,0,1,0,0,2,0,0,0,0,0,0,0,1,0,2,1,0,1,0,0,0,0,0,1,1,1,1,1,2,1,1,0,0,2,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,2,0,0,1,0,0,1,1,0,2,0,0,1,0,1,0,1,0,0,1,2,0,0,1,0,1,0,2,1,0,0,1,1,0,2,1,0,0,0,1,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,2,0,1,0,0,1,0,1,2,1,1,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,1,2,1,0,0,1,1,0,0,1,0,1,0,0,0,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0,1,2,0,0,0,1,0,1,1,1,0,0,2,2,1,1,1,0,1,0,0,0,1,1,2,0,0,1,1,1,2,0,0,0,0,1,2,0,0,0,1,0,0,2,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,2,1,0,1,1,1,0,2,1,1,1,1,0,1,1,1,0,2,0,0,2,1,1,0,2,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,2,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,1,2,0,0,2,0,1,0,0,1,1,0,1,0,0,0,0,0,0,2,1,1,1,0,0,0,1,0,0,1,1,0,1,0,2,0,1,0,0,0,0,0,1,0,0,1,0,0,1,2,1,0,1,0,0,1,0,2,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,1,2,0,1,1,1,0,0,0,0,1,0,0,0,0,2,0,0,1,0,0,1,0,0,2,0,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,1,1,0,2,0,0,0,2,0,0,2,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,2,2,0,2,0,1,1,0,1,2,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,2,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,2,0,0,1,1,1,2,0,1,0,0,0,1,0,0,0,0,0,1,0,0,2,1,1,0,0,0,0,1,0,0,0,0,2,0,0,1,0,0,1,0,1,0,0,0,1,0,2,0,0,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,0 2,0,0,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0,1,1,1,0,1,0,1,2,0,0,1,1,0,2,1,0,0,2,1,0,1,2,1,0,2,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,2,0,1,1,0,0,0,1,1,0,0,2,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,2,1,0,0,0,2,0,1,0,2,1,0,1,2,0,2,0,1,0,0,0,0,0,2,1,0,0,1,1,0,0,0,0,0,2,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,2,1,1,0,0,0,0,0,2,0,1,1,0,1,0,0,1,0,2,0,0,0,0,2,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,2,1,1,1,0,0,1,0,2,1,0,2,0,2,0,1,1,2,0,2,0,0,0,0,2,1,0,0,1,1,0,1,0,0,0,2,0,1,1,0,1,0,1,0,2,0,0,1,2,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0,1,1,2,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,2,1,1,0,0,1,1,2,1,0,1,0,1,1,2,1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,2,1,1,0,1,0,0,1,2,1,0,0,1,0,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,2,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,1,0,0,0,1,0,1,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,1,0,2,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,2,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,2,0,0,1,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,2,0,0,1,0,1,1,0,1,0,0,0,2,2,1,0,1,0,1,0,1,1,2,1,0,1,0,1,1,0,2,1,1,0,1,2,0,0,0,1,0,1,2,0,1,1,0,0,2,0,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,0,0,2,0,1,0,2,0,0,0,2,1,0,0,2,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,2,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,2,1,0,1,0,0,1,1,2,1,0,1,0,2,0,2,0,1,0,1,0,1,0,1,2,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,2,0,1,1,2,1,0,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0,0,0,1,2,1,0,1,0,0,0,1,1,2,0,0,0,0,1,0,0,0,1,0,0,1,1,1,2,2,2,0,0,0,0,0,0,1,0,0,1,2,1,1,1,1,0,2,0,0,0,0,0,0,1,2,0,0,0,2,0,0,0,1,0,1,0,1,0,0,0,0,2,0,1,0,1,1,0,0,0,1,1,0,1,2,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,1,1,0,1,0,2,2,0,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,2,2,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,2,0,0,1,0,0,1,1,0,1,1,1,1,2,0,1,2,0,1,0,2,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0 0,0,0,1,0,0,1,0,0,2,0,0,1,1,1,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,2,0,0,0,1,0,1,1,0,1,1,1,1,0,0,2,2,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,1,1,0,0,2,0,1,0,1,1,1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,2,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,1,1,0,1,0,2,1,0,1,1,0,1,0,0,0,1,1,0,0,2,0,0,2,0,2,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,0,0,2,0,1,0,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,2,0,1,0,2,0,2,0,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,2,1,1,0,1,0,0,0,1,0,1,2,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,2,0,0,0,0,0,0,0,0,1,1,1,2,0,1,1,0,1,0,0,1,0,1,1,1,1,0,0,2,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,2,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,2,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,2,1,1,1,0,2,1,0,2,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,2,1,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,1,1,2,0,0,0,0,1,0,0,0,0,2,0,1,2,0,2,0,1,2,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,2,0,1,0,1,0,0,0,0,0,2,1,1,0,0,0,0,2,0,0,0,0,0,0,1,0,2,0,0,1,1,1,1,1,0,0,0,1,1,0,0,2,1,0,1,2,1,1,1,1,2,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,2,0,1,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,2,1,2,0,1,1,2,0,1,0,2,1,2,0,1,0,0,0,2,2,0,0,0,0,0,0,0,2,0,0,2,1,1,1,0,2,1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0,1,2,0,0,0,2,0,0,0,1,0,0,0,0,2,0,2,0,0,0,0,0,0,1,0,2,1,1,0,0,2,1,1,0,2,0,1,1,0,0,2,2,1,2,0,0,0,0,0,1,2,0,0,1,0,0,2,0,1,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,2,2,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,2,1,0,0,1,2,0,2,0,0,0,1,2,2,2,2,0,2,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,1,1,0,1,2,0,1,0,1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0,2,2,0,0,0,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,2,0,0,0,0,2,1,2,1,0,1,0,1,0,1,1,1,0,0,1,1,0,2,1,1,0,0,0,1,0,0,0,1,1,0,2,0,0,0,0,0,0,2,0,0,0,0,2,0,1,1,0,1,0,0,0,0,0,0,2,2,0,0,1,1,1,2,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0,1,1,1,0,2,0,2,0,1,2,0,0,1,0,0,0,0,2,0,0,2,0 1,0,0,1,1,0,0,1,1,1,1,1,1,2,0,1,0,1,2,0,0,1,0,0,1,1,0,1,0,1,1,0,1,1,0,0,1,2,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,2,0,2,1,1,0,1,0,1,1,0,1,2,0,1,1,0,2,0,1,1,2,0,0,0,0,0,1,1,0,2,0,1,0,1,2,1,0,0,0,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,1,1,1,2,2,0,1,1,0,0,0,0,1,2,1,1,1,0,1,1,0,2,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,2,0,1,2,1,0,1,0,1,0,0,0,2,0,1,1,0,0,0,0,0,0,1,0,0,2,1,0,1,0,1,2,0,1,1,2,1,2,0,0,0,0,1,0,0,0,1,1,1,1,0,1,1,0,0,0,1,2,0,0,2,0,1,0,0,0,0,0,1,1,1,1,0,1,2,0,1,0,0,0,0,0,1,0,1,0,2,0,1,0,2,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,2,0,0,1,1,0,2,2,0,1,1,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,2,0,1,2,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,1,1,1,1,0,1,0,0,0,2,1,0,0,0,0,0,1,2,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,1,1,2,0,1,0,0,1,1,1,1,1,1,0,1,2,1,0,1,0,0,0,0,0,0,0,0,0,2,2,1,0,1,1,0,0,1,0,1,0,2,0,1,0,0,1,1,1,0,1,0,1,0,2,0,2,0,1,0,0,2,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,1,1,2,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,1,2,0,1,1,0,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,2,1,1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,2,1,0,1,2,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,2,0,0,0,1,0,1,0,0,2,0,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,2,0,0,2,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,1,1,2,0,0,0,0,1,0,0,1,0,1,0,1,0,0,1,2,0,1,0,1,0,2,0,1,0,2,0,0,0,1,1,0,2,0,1,0,2,0,0,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,0,1,0,0,2,0,1,0,0,0,1,0,1,0,0,2,0,0,1,2,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,2,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,2,0,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,1,1,2,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,2,0,1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,2,1,0,1,0,0,0,2,2,0,0,2,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,2,1,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,1,2,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,1,0,1,1,1,1,2,1,0,0,1,1,0,2,0,0,0,0,0,0,1,0,0,0,1,1,0 0,0,1,0,0,0,0,1,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,2,0,0,0,2,0,1,1,0,0,1,2,1,2,1,1,1,2,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,2,2,1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0,1,2,1,1,0,0,0,1,0,1,0,2,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,2,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,1,0,0,2,0,2,0,0,1,1,2,0,2,0,0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,1,1,0,0,1,0,1,0,2,0,0,1,0,0,0,1,0,0,1,0,0,0,1,2,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,2,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,2,0,0,1,0,0,0,1,0,2,0,1,1,1,2,1,1,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,2,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,1,2,0,0,1,2,1,0,0,1,1,2,0,1,0,0,0,1,1,1,1,1,0,2,1,2,0,1,0,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,2,0,0,1,1,2,2,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,2,1,1,0,0,1,1,2,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,2,1,1,0,1,1,0,0,1,2,0,0,0,0,0,0,0,2,0,0,0,0,1,1,1,0,0,0,1,1,0,2,1,0,1,0,0,2,0,1,0,0,1,0,0,0,0,1,0,1,1,1,0,0,2,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,1,1,0,1,0,0,0,0,2,1,1,1,0,1,0,0,1,1,0,1,0,2,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,1,1,1,0,2,0,0,1,0,0,0,1,0,1,0,1,0,2,0,0,0,0,1,0,1,0,2,0,0,1,1,0,0,0,0,1,2,0,1,2,1,1,1,1,1,1,2,0,0,0,0,0,1,1,0,2,0,0,1,1,0,2,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,2,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,2,1,0,2,2,0,0,0,2,0,0,0,0,0,0,2,0,1,1,0,0,0,0,1,1,2,1,0,1,1,2,1,0,0,2,1,2,1,1,1,2,1,1,0,0,2,0,1,0,0,0,0,1,0,0,0,2,1,0,0,0,0,1,2,2,1,0,0,0,0,0,0,0,0,0,0,2,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0,1,2,0,0,0,1,0,0,2,0,1,0,2,1,1,0,0,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,2,1,0,0,1,0,1,0,0,1,2,0,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,2,0,1,1,2,0,0,1,1,0,0,1,2,0,2,0,1,0,0,0,0,0,2,0,0,1,0,0,1,2,2,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,1,0,0,0,0 0,0,1,1,0,0,0,1,2,1,1,0,0,1,1,0,0,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0,2,1,0,1,0,1,1,2,2,0,1,0,1,0,1,0,1,2,1,2,0,1,0,1,0,0,1,1,0,0,0,0,0,1,2,0,1,0,1,0,2,1,1,0,0,0,1,0,0,0,1,0,0,1,0,1,1,2,1,0,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0,0,2,0,1,0,0,1,1,1,0,0,0,2,1,1,0,0,0,0,1,0,2,1,0,2,0,1,0,1,0,0,0,0,0,2,0,1,0,0,0,1,1,0,0,0,2,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,2,2,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,2,0,0,2,0,0,0,0,0,1,2,0,0,0,1,1,0,2,0,1,1,0,0,1,2,0,1,1,2,0,0,0,2,1,2,0,0,0,0,2,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,2,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,2,0,0,0,1,0,2,1,0,0,0,0,1,2,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,1,0,2,2,2,0,1,1,1,1,1,1,0,0,2,0,0,1,1,0,1,0,1,0,0,1,2,1,0,1,1,0,0,0,1,1,1,1,0,2,0,0,1,2,0,0,1,0,2,1,0,0,1,2,0,1,2,2,2,2,0,1,0,0,2,1,1,0,0,2,0,0,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,1,2,1,0,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0,2,1,1,0,2,0,1,0,0,1,1,0,0,0,1,0,0,2,0,0,1,1,0,1,1,2,1,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,0,1,0,1,2,1,2,0,0,1,1,0,1,0,2,1,0,0,2,0,0,1,2,1,0,0,0,0,0,1,1,0,1,1,0,0,2,2,0,0,0,1,2,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,2,1,0,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,2,1,0,1,0,0,0,0,1,0,2,1,0,0,0,2,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,2,1,1,0,1,0,0,0,0,0,0,2,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,1,0,1,1,0,1,1,0,2,1,1,2,0,0,1,2,0,0,0,1,1,0,1,0,0,2,1,1,1,0,0,0,0,2,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,0,2,0,1,1,0,0,0,0,1,0,1,1,0,1,0,1,2,1,1,1,2,0,0,1,1,0,0,0,1,1,2,1,2,2,0,0,2,1,0,0,0,1,0,1,0,2,1,0,1,0,0,0,1,2,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,2,2,0,0,0,1,2,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,2,2,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,1,0,1,0,0,2,0,2,0,2,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,2,1,1,0,0,0,1,0,1,2,0,1,1,1,1,0,1,1,1,2,0,0,1,2,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,2,1,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0 1,0,0,2,1,1,1,0,0,1,1,1,0,0,0,0,0,2,0,0,0,0,1,0,0,1,1,0,0,1,2,0,0,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,1,2,1,1,0,1,1,0,2,2,1,0,1,0,0,1,0,0,0,0,2,1,1,0,0,0,0,0,0,1,1,1,1,0,2,1,1,2,1,0,0,0,1,0,2,2,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,1,0,1,1,0,0,2,0,2,2,0,0,0,0,1,2,1,0,0,0,0,0,0,1,0,0,1,1,1,2,0,1,1,0,0,0,1,0,0,2,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,2,1,0,0,0,0,0,2,0,0,1,1,0,0,0,0,1,1,0,2,2,1,0,0,1,1,0,2,1,1,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,2,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,2,0,1,2,1,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,2,1,2,0,0,1,0,1,0,0,1,0,2,0,0,1,2,1,0,1,0,0,1,0,1,0,1,0,0,2,0,1,0,1,2,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,2,2,0,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,2,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,2,0,2,1,0,1,2,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,2,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,2,2,1,0,1,1,0,0,1,1,0,0,0,0,1,2,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,1,2,1,1,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,1,2,0,0,0,0,1,0,1,0,1,1,1,2,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0,2,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,2,0,0,0,0,0,0,2,1,0,0,0,0,1,1,1,2,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,2,0,0,0,2,2,0,0,0,0,1,1,2,0,1,0,1,1,1,1,0,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,2,2,1,0,0,0,1,1,1,1,0,0,0,0,2,2,0,0,0,2,0,0,2,0,1,0,0,0,0,2,0,0,2,1,0,0,0,1,0,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,2,2,0,1,0,0,1,2,1,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,2,1,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,1,2,1,2,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,2,0,2,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0 0,0,0,1,0,2,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,2,0,1,1,0,0,0,1,0,2,0,0,0,1,2,0,1,1,0,0,1,1,0,1,0,1,0,2,1,1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,2,1,1,0,0,0,0,1,0,0,0,0,2,1,2,0,0,0,0,1,1,0,2,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,2,2,1,1,0,0,0,0,1,0,2,1,0,0,0,1,1,1,0,1,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,1,1,0,1,1,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,2,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,1,1,2,0,1,0,0,0,1,1,2,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,1,1,1,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,2,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,2,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,1,2,0,0,0,1,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,2,1,2,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0,2,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,1,2,0,0,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,1,0,1,0,2,0,0,0,1,1,0,1,1,0,0,1,2,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,2,1,1,1,1,0,0,0,2,0,1,1,0,0,0,1,0,0,1,1,2,1,1,0,0,1,1,1,0,0,2,0,0,1,1,1,0,1,0,1,1,0,0,1,1,1,0,2,2,0,0,1,1,1,1,1,0,2,1,1,1,0,1,0,1,1,1,2,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,2,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,2,2,0,0,2,1,0,0,1,1,0,1,1,0,2,0,1,1,0,0,0,1,0,1,0,0,1,1,0,1,1,1,1,1,0,1,0,0,2,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0,1,2,0,1,2,0,0,0,1,0,1,0,1,0,0,0,0,1,1,2,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,0,1,1,1,0,0,1,0,2,1,0,0,1,1,0,1,0,0,0,2,0,1,1,1,0,0,0,1,0,0,1,1,1,1,0,1,1,0,0,2,0,2,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,2,0,0,0,1,1,0,1,1,1,1,1,1,0,1,2,0,1,0,1,0,1,1,0,1,1,0,0,0,2,1,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,2,1,1,1,0,1,0,2,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,1,0,2,0,1,0,0,2,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,2,1,1,0,0,2,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,2,0,0,0,1,0,0,1,0,0,2,0,1,0,0,0,0,2,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,2,0,2,0,1,1,0 1,0,0,0,0,1,1,0,1,0,2,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,2,2,1,1,0,1,2,0,0,1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0,1,2,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,1,1,2,0,1,0,0,1,0,0,0,1,1,0,1,0,2,2,1,1,1,1,0,0,0,1,0,2,0,0,1,1,0,2,1,2,2,2,2,0,0,1,0,1,1,0,1,0,0,2,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,2,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,2,0,0,1,1,0,0,0,0,0,0,0,1,1,1,2,0,1,0,0,0,0,1,1,2,0,2,2,0,0,0,1,1,1,0,1,0,1,0,0,1,0,1,1,1,1,0,0,1,1,2,1,0,0,1,0,0,0,1,0,2,2,0,0,0,0,1,1,0,1,1,0,0,1,1,2,1,0,0,0,2,0,1,1,0,0,0,1,0,1,1,0,0,0,2,1,1,1,1,1,0,1,0,0,0,0,0,1,1,2,1,1,1,2,0,1,1,0,0,0,0,0,2,2,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,1,2,0,1,0,0,1,2,0,0,1,1,0,0,1,1,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,1,1,1,2,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,2,0,1,0,0,0,2,1,1,2,1,0,0,0,2,0,1,2,2,0,0,0,0,0,1,0,2,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,2,0,0,2,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,2,2,1,1,0,2,1,1,1,2,0,0,1,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,1,1,1,2,0,1,0,0,0,2,1,0,0,1,1,0,0,1,1,0,0,0,2,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,2,1,0,2,1,0,1,0,0,2,1,1,0,0,0,2,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,2,1,0,2,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,2,0,1,1,2,0,1,1,1,0,2,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,1,0,1,2,1,0,0,0,1,1,0,2,1,0,2,0,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,2,0,1,2,0,0,0,0,0,0,1,0,2,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,1,2,2,0,0,0,0,0,1,0,1,0,1,2,1,1,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,2,1,0,0,1,0,0,2,1,1,1,1,0,0,0,0,1,1,0,2,1,0,0,1,0,0,0,0,1,1,1,0,1,1,1,1,0,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,2,0,1,0,1,0,0,2,0,1,0,1,0,0,0,0,0,0,2,0,1,2,1,0,2,1,1,0,1,0,0,0,1,0,1,1,0,1,2,0,2,1,2,1,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,2,0,1,1,0,0,0,2,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,2,1,1,1,2,0,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,2,0 0,0,0,1,0,0,2,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,2,0,0,1,1,0,1,1,0,0,0,0,0,0,2,2,0,2,1,1,0,1,2,0,0,1,0,0,1,0,1,0,0,2,0,0,1,1,0,1,0,1,2,0,0,0,1,0,0,0,0,1,0,0,0,0,2,1,2,1,1,0,1,0,2,0,0,0,0,1,2,0,2,0,0,0,0,1,0,1,0,2,0,1,1,0,0,1,1,0,0,0,1,1,0,0,2,0,0,1,2,1,1,0,2,0,0,0,0,0,1,0,1,2,0,0,1,0,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,1,1,1,0,2,2,1,0,0,1,1,1,0,0,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,2,1,1,2,0,0,1,1,0,0,0,0,1,2,2,0,1,0,1,0,1,1,0,2,0,2,1,2,1,1,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,2,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,2,0,0,0,0,1,0,1,1,0,1,0,0,2,2,2,0,1,1,0,2,0,0,0,0,2,0,0,0,0,0,1,0,0,1,1,0,2,0,0,0,1,2,1,0,1,1,0,2,1,0,0,1,1,0,1,2,1,0,0,2,0,0,0,0,1,0,0,0,0,2,0,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,1,1,1,0,2,1,2,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0,0,2,0,2,1,1,1,1,1,0,1,0,0,0,1,0,2,0,2,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0,2,0,1,1,0,0,0,2,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,2,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,2,1,1,0,2,2,1,0,0,0,0,2,0,1,0,0,0,1,0,0,1,2,0,0,0,0,1,1,0,0,0,0,1,2,0,0,0,0,1,1,1,1,1,1,0,0,0,1,0,2,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0,1,1,0,1,2,0,0,0,0,1,1,0,1,1,0,1,2,1,1,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,2,0,1,2,0,0,0,0,0,0,1,0,2,1,0,0,0,1,1,2,0,0,0,1,0,0,1,0,1,0,0,0,2,0,1,1,0,2,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,2,0,0,1,1,0,0,0,0,0,1,0,0,2,0,0,0,0,1,2,0,1,1,2,2,1,1,1,2,2,2,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,2,0,1,0,1,0,1,1,0,1,2,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,1,1,2,1,2,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,1,2,2,1,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,2,0,2,0,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,2,0,0,1,0,1,1,2,0,0,0,0,0,2,1,0,1,0,0,0,0,1,1,1,0,1,1,0,2,0,1,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,2,1,0,1,1,1,1,0,0,0,1,2,0,0,2,0,0,1,0,0,1,0,1,0,1,0,2,1,0,0,1,1,0,2,0,1,0,0,1,0,0,1,0,0,1,1,2,0,1,1,2,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,1,0 0,0,2,1,0,0,0,1,0,0,1,0,0,0,0,1,0,2,0,0,0,1,0,0,1,2,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,2,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,2,0,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,2,0,0,0,1,1,0,2,0,0,1,1,2,1,1,0,1,0,1,1,2,0,0,0,0,1,0,1,1,0,1,1,0,0,2,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,2,0,1,0,2,1,0,1,0,0,0,0,0,0,0,0,1,1,2,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,0,1,0,2,1,2,0,1,0,0,0,0,0,1,1,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,1,0,1,1,2,0,1,0,0,1,2,0,1,0,0,1,0,0,1,0,0,0,2,0,0,1,0,0,2,0,1,0,0,2,2,0,0,1,2,1,0,1,0,1,0,1,0,1,0,0,2,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,2,2,1,0,1,0,0,1,2,2,1,0,2,0,0,0,0,0,0,0,1,1,1,0,1,1,2,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,2,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,1,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,2,1,0,1,2,0,1,0,1,0,0,1,0,1,2,0,1,0,1,0,0,0,1,0,1,0,1,2,0,0,1,1,0,0,0,1,0,1,1,1,2,1,2,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,2,1,0,2,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,2,1,0,0,0,1,0,0,2,1,1,1,1,1,0,0,0,0,0,1,0,0,2,1,2,0,1,0,0,2,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,1,0,0,0,0,0,2,1,2,0,2,0,0,0,0,1,1,0,2,0,0,1,1,1,0,0,1,2,0,1,0,1,1,1,0,2,2,1,1,0,0,0,1,0,0,2,0,0,2,0,1,0,0,1,0,2,0,1,1,0,1,0,0,2,1,0,0,2,2,0,0,1,0,1,2,1,1,1,2,0,1,0,2,0,0,1,1,0,0,1,1,0,2,0,0,0,1,2,1,0,0,0,1,1,2,0,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,2,0,0,0,1,0,1,1,0,1,2,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,2,0,1,0,0,0,1,0,0,0,0,0,1,1,2,2,1,1,0,0,0,2,2,1,1,0,1,2,1,0,0,1,0,0,0,2,0,1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,2,2,1,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,2,0,0,0,1,1,1,0,0,2,2,1,0,0,1,2,0,0,1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,1,0,1,2,0,0,0,0,0,1,0,0,2,0,1,0,1,0,1,0,0,1,1,1,0,2,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,2,1,0,0,0,0,1,0,0,0,1,2,2,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2,1,1,0,2,0,1,0,1,1,0,0,0,0,0,2,0,0,2,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0 1,0,2,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0,1,0,2,0,0,1,1,1,0,0,1,1,0,0,2,0,1,0,1,0,0,1,2,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,2,0,0,1,1,1,1,1,0,0,0,2,1,1,1,0,0,1,0,2,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,2,0,0,0,0,1,0,0,1,2,2,0,0,0,0,0,1,0,2,1,0,1,0,0,1,0,0,2,0,1,1,2,1,0,0,1,0,2,0,0,0,2,0,2,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,1,1,0,1,0,0,2,0,0,1,1,0,0,1,2,2,2,1,0,2,0,0,0,1,0,0,0,1,0,0,0,0,2,1,0,1,1,1,1,2,0,0,0,1,1,0,1,1,1,1,0,0,0,1,0,2,0,0,1,2,2,1,1,0,0,0,2,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,2,0,0,0,0,0,0,2,0,2,0,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,2,0,1,0,0,0,0,0,2,0,0,0,0,1,2,1,0,2,0,0,0,1,0,1,2,1,0,0,0,1,1,0,1,1,1,0,0,2,0,1,0,0,2,1,0,0,1,0,1,0,0,1,1,0,0,2,2,2,0,0,1,1,1,0,1,0,0,0,1,0,0,1,1,1,0,0,2,0,2,0,1,1,2,1,0,1,0,0,0,1,0,1,0,0,1,1,1,2,0,2,1,0,0,0,0,0,1,0,2,0,0,1,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,1,1,0,0,1,0,0,2,0,1,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,1,1,0,1,2,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,1,1,1,0,1,1,2,0,0,1,1,1,0,2,1,0,1,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0,2,0,0,1,2,1,2,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,1,1,0,2,1,0,0,2,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0,2,1,0,0,2,2,2,0,0,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,2,0,2,0,1,0,1,2,1,1,0,0,1,0,1,2,1,1,1,0,0,0,0,1,1,0,1,1,0,2,1,1,1,0,0,0,0,2,0,1,0,1,1,0,0,0,2,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,2,1,2,1,0,2,0,2,0,1,0,2,1,0,0,0,1,1,0,0,0,1,0,2,1,0,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,2,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,1,0,0,1,1,0,2,1,1,0,1,1,0,0,0,1,0,0,0,0,0,2,2,0,0,1,1,0,0,0,1,0,0,0,2,0,0,0,1,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,0,2,0,0,1,0,1,0,0,0,1,0,1,0,1,0,2,0,1,0,1,0,0,2,2,0,0,2,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,0,0,2,0,1,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,2,0,1,1,1,1,0,2,0,1,0,0,2,1,0,0,0,1,0,0,2,0,0,0,1,1,0 0,0,1,1,0,0,1,0,0,2,0,0,1,1,1,0,0,1,1,0,0,0,0,1,1,1,1,1,0,1,2,0,1,0,1,0,0,0,0,0,1,2,0,2,2,1,0,1,1,1,1,2,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,0,1,1,2,0,1,1,1,0,0,2,0,0,0,0,0,1,0,1,0,0,0,1,0,2,0,0,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,2,0,1,0,0,1,1,0,2,0,1,0,0,1,0,0,0,1,1,1,0,2,1,2,0,0,0,0,0,0,1,0,0,0,2,2,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,2,1,0,1,1,1,0,0,1,0,1,0,2,0,0,0,1,1,2,0,1,0,1,1,2,0,0,1,2,2,0,1,0,1,0,0,2,1,0,0,0,0,0,1,0,0,0,1,0,0,2,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,2,0,2,2,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,2,0,0,1,1,1,0,1,0,2,0,0,0,1,0,1,2,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,2,2,2,0,0,0,0,1,1,1,0,1,1,0,0,0,0,0,0,2,0,0,0,2,0,0,0,1,1,0,0,1,0,0,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,2,0,0,0,0,1,1,1,0,1,0,0,1,1,1,1,0,2,1,0,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,2,0,0,0,0,0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,2,1,0,1,0,2,0,0,0,2,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,1,2,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,1,1,2,1,1,1,2,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0,2,0,1,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,0,1,0,1,2,0,2,0,0,1,1,2,0,1,2,0,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,2,0,2,1,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,2,0,0,1,0,0,0,0,0,0,1,2,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,1,0,1,0,1,0,2,0,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,2,2,0,1,0,2,0,0,0,1,1,0,1,0,1,2,2,0,0,0,0,0,2,0,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,2,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,2,2,1,0,1,1,0,0,0,1,2,1,2,1,1,0,0,2,2,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,0,1,2,2,0,0,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,2,1,1,0,1,1,1,0,1,1,0,2,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,2,0,1,0,1,2,1,0,0,0,1,0,1,1,1,0,0,0,1,2,0,0,1,0,1,0,0,0,1,0,0,1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,2,0,2,0,0,0,0,1,2,1,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0 1,0,0,1,1,0,1,0,1,0,1,0,1,1,1,1,0,1,1,0,1,1,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,2,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,2,0,1,0,1,2,0,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,1,0,1,0,1,1,0,0,0,2,0,1,0,0,0,0,2,1,1,0,2,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,2,0,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,0,2,1,1,0,0,1,1,1,0,0,0,1,1,0,0,2,0,1,0,0,1,1,0,2,1,0,1,0,1,1,0,2,0,0,0,1,0,1,1,0,0,0,0,0,2,2,0,0,1,1,1,0,0,1,1,0,1,1,1,0,0,0,2,0,1,0,1,1,2,0,0,2,2,0,0,2,1,1,0,0,2,0,1,0,0,0,1,0,2,0,2,1,0,0,1,2,2,1,0,1,0,0,1,1,1,2,0,0,0,0,1,0,1,1,0,0,0,0,1,1,2,1,0,1,0,1,0,1,2,0,0,0,1,2,0,1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,1,0,2,1,2,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,2,0,0,0,0,1,1,0,0,0,1,0,0,1,2,1,0,0,2,0,0,0,1,0,0,0,1,1,1,0,0,1,1,0,2,0,1,0,0,1,1,0,0,1,1,0,0,0,0,0,1,2,1,0,1,0,0,2,1,1,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,2,0,0,1,0,1,0,2,1,2,1,2,0,0,2,0,2,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,1,2,1,1,0,0,1,1,0,0,1,0,2,1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,2,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,2,0,0,0,1,0,0,0,1,1,1,1,0,0,2,2,0,0,0,1,0,0,2,2,0,1,0,0,0,2,0,0,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,1,0,1,1,1,2,0,2,1,1,0,1,0,1,0,1,1,0,2,0,1,0,0,1,0,2,1,0,1,0,0,0,1,1,1,0,2,0,0,1,2,0,0,0,2,0,0,0,0,2,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,0,2,1,1,1,0,0,2,0,0,0,0,1,2,0,1,1,1,1,1,0,1,2,0,1,1,1,2,1,0,0,1,0,0,1,0,0,1,0,0,2,1,0,0,2,0,1,1,0,0,2,0,0,0,1,1,1,1,0,0,1,0,2,0,1,0,1,0,0,0,1,1,0,1,0,2,0,1,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,2,1,0,0,0,0,1,1,0,1,1,2,1,0,0,0,0,0,0,1,0,2,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,2,0,1,1,0,0,0,0,0,1,0,1,2,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,2,1,0,0,1,1,0,1,1,1,1,0,1,0,0,2,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,2,0,1,1,0,2,0,0,1,1,2,0,0,0,0,1,1,1,0,1,0,2,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,2,0,0,0,0,1,1,1,1,1,0,0,0,2,2,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0 0,0,0,1,0,1,0,2,1,1,2,0,0,0,0,0,0,0,1,0,0,0,1,0,1,2,0,1,0,0,1,0,1,0,1,0,1,1,0,1,1,0,1,2,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,1,0,1,1,2,0,0,0,1,0,1,0,0,1,0,0,1,2,1,0,0,0,2,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,2,1,1,1,2,0,0,0,0,1,0,0,1,1,0,0,2,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,2,2,0,0,1,0,2,1,2,1,0,2,0,0,1,0,2,0,0,0,0,0,0,2,1,0,2,0,2,2,1,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,2,2,1,0,0,0,0,1,0,0,0,1,1,2,2,0,0,0,0,0,1,2,0,1,2,0,2,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,2,1,1,1,0,0,2,0,0,0,0,0,0,1,1,0,0,2,0,1,0,1,0,1,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,1,2,2,1,0,0,1,0,1,0,2,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,2,0,1,0,2,0,0,0,2,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,2,1,0,1,1,1,1,1,2,0,1,0,0,1,1,2,1,0,1,1,0,0,0,1,0,0,0,0,0,1,1,0,2,0,0,0,2,0,1,0,2,1,1,0,0,2,0,0,0,0,1,0,0,2,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,2,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,2,0,0,1,2,2,0,0,0,0,0,1,1,0,0,0,0,1,1,0,2,0,1,0,1,0,2,0,0,1,1,1,0,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,2,1,1,1,2,1,0,1,0,0,1,1,1,0,0,0,0,0,2,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,2,0,1,0,1,2,0,1,0,0,0,0,1,1,1,1,1,1,0,1,0,0,1,1,1,1,2,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,2,2,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,2,1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,2,0,1,0,1,2,1,0,1,1,2,1,2,0,1,2,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,2,1,0,0,0,0,0,1,2,0,1,0,1,0,0,1,1,2,1,2,1,1,0,1,0,0,0,1,0,1,1,2,1,1,2,1,0,0,2,0,0,0,0,1,0,2,1,0,1,0,2,0,1,0,0,0,0,0,2,1,1,1,2,1,0,1,1,2,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,2,0,1,0,1,1,0,0,0,0,0,2,2,0,0,1,1,2,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,2,0,0,0,1,1,0,0,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,2,1,1,2,0,0,0,1,1,1,0,1,0,0,2,1,1,0,0,1,0,1,0,2,1,0,0,0,2,0,1,0,0,0,2,1,1,1,0,1,1,1,1,1,1,1,0,0,2,0,0,1,0,0,1,0,0,0,0,0,1,2,1,2,0,0,1,0,0,1,0,0,1,0,0,0,0,2,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0,2,1,0,0,0 0,0,0,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,2,0,1,1,0,1,2,1,1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,2,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,2,1,0,1,1,0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,1,2,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,2,0,0,0,1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,2,0,0,1,1,2,0,0,0,0,1,0,0,0,1,1,0,1,2,0,0,0,0,1,1,0,2,0,0,1,0,0,1,1,2,0,0,0,0,1,0,1,1,1,2,0,0,0,0,2,0,1,1,2,1,1,0,0,0,2,0,0,2,0,0,0,1,1,1,1,0,1,1,0,0,2,2,1,0,0,0,1,0,0,1,1,1,1,2,0,1,0,0,0,0,0,2,1,2,0,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1,2,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,2,0,1,0,0,0,1,0,0,0,2,0,0,2,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,1,0,2,1,1,0,1,1,0,0,2,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,2,1,2,0,1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,2,0,1,0,0,0,0,0,1,0,0,0,2,0,0,2,1,1,1,1,1,0,0,0,0,0,1,2,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0,1,2,0,0,1,1,1,1,0,1,1,1,0,0,0,0,0,2,0,1,0,0,2,0,1,0,0,0,0,0,2,0,1,1,0,0,0,0,0,1,2,0,2,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,2,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,1,2,1,0,0,0,0,0,2,0,1,1,0,1,1,2,2,1,2,0,1,0,0,1,0,0,0,1,0,0,2,0,0,1,0,1,1,1,0,1,1,2,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,2,0,1,0,2,1,1,0,1,0,0,0,1,2,2,0,2,1,0,0,2,0,1,2,2,0,2,2,0,0,2,1,0,1,1,0,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,2,0,0,0,0,0,0,0,1,0,2,0,0,0,1,1,1,2,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,2,0,0,1,2,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,1,1,2,2,1,0,0,0,0,2,1,0,1,1,0,0,1,0,0,1,0,1,2,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,1,2,1,0,2,0,1,0,0,0,0,0,1,1,1,0,0,1,2,0,0,0,0,1,0,1,2,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,1,2,1,1,2,1,0,0,0,0,0,2,0,0,1,0,1,1,0,1,0,1,0,0,2,2,0,1,0,1,0,1,1,1,2,1,0,0,1,1,1,0,1,2,0,0,0,2,1,0,0,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,2,1,0,0,1,0,0,1,2,1,2,0,1,0,1,1,1,0,0,0,1,0,0,2,0,1,2,0,0,0 1,0,2,1,1,0,0,0,0,2,2,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,2,1,0,1,0,0,0,1,0,1,0,0,0,0,1,2,0,0,0,0,1,1,0,0,0,2,1,0,0,1,0,0,1,2,1,0,0,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,2,0,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,2,1,1,1,1,1,0,0,1,0,2,0,0,1,1,0,1,0,1,0,0,0,0,1,1,1,1,0,0,0,1,0,0,1,2,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,1,1,0,1,0,0,2,2,0,0,0,0,0,1,1,1,2,1,1,2,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,1,0,2,1,1,2,1,1,0,1,0,1,0,1,1,1,1,0,1,0,1,1,0,0,2,0,1,0,1,1,0,1,2,0,0,0,0,2,0,0,1,0,2,2,1,0,1,0,1,0,2,1,0,0,0,0,1,1,1,2,0,0,0,2,0,0,1,0,0,1,0,2,1,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,1,2,1,2,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1,0,0,1,2,1,0,0,0,0,0,0,0,1,1,0,1,1,0,2,1,0,1,1,0,2,0,1,1,0,0,1,1,1,0,2,0,0,1,0,0,1,0,0,0,0,0,1,1,1,1,2,1,1,0,1,0,0,0,1,0,2,0,0,0,0,1,0,1,0,2,0,0,2,1,2,0,0,1,0,2,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,1,2,0,0,0,2,0,0,1,0,0,0,2,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,1,1,1,0,2,0,0,0,1,0,0,1,2,0,0,0,0,1,1,2,1,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,1,0,2,0,1,0,0,1,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,1,0,0,1,0,1,0,2,1,0,0,2,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,2,1,1,0,0,0,1,0,0,1,0,2,1,1,1,0,2,2,2,2,2,1,0,0,0,1,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,2,0,0,0,1,0,1,1,0,0,1,0,0,1,2,1,2,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,2,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,2,1,0,1,1,0,0,0,1,2,0,1,0,0,1,1,1,0,1,0,0,0,1,1,1,2,0,0,0,1,0,0,1,1,0,0,1,1,1,1,1,1,0,1,2,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,1,1,0,2,1,1,0,1,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,2,0,0,1,2,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,1,2,0,2,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,2,0,0,0,0,0,1,0,0,1,0,1,1,2,2,1,0,0,0,0,1,2,0,1,0,0,0,0,0,1,0,1,0,0,0,0 1,0,0,1,2,0,0,0,0,0,2,1,1,1,2,1,0,0,1,0,0,0,0,1,0,1,1,2,2,0,1,0,0,0,1,0,1,1,0,0,1,1,0,2,2,1,1,1,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,1,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,2,0,0,0,0,2,0,2,0,0,1,1,2,0,0,1,1,0,1,1,1,0,1,1,0,0,1,1,2,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,2,0,0,1,1,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,2,0,0,0,1,2,2,1,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,1,1,2,1,0,1,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,2,1,2,1,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,1,1,1,0,1,1,0,1,2,0,0,0,0,1,0,0,2,1,0,1,1,0,0,2,1,0,0,2,0,0,0,1,1,0,0,0,1,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,2,0,0,1,0,0,1,1,0,1,2,0,2,1,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,2,1,0,2,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,2,0,0,1,1,0,0,2,1,1,0,1,2,2,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,2,1,0,1,0,1,0,1,1,1,0,1,1,0,0,2,0,0,1,0,0,0,2,1,1,1,1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,2,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,0,2,1,0,0,1,2,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,2,0,1,1,0,0,0,2,0,0,2,0,1,0,1,0,0,1,1,0,0,0,2,0,1,0,0,1,1,1,0,0,0,0,0,2,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,2,0,1,2,1,2,0,1,0,0,0,0,0,2,1,2,0,1,0,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,2,1,2,0,0,0,1,0,0,1,1,0,0,0,1,2,0,0,1,1,1,0,1,2,1,0,2,1,0,1,2,0,0,0,0,1,0,0,0,0,0,2,0,1,2,0,0,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,1,1,0,1,0,1,1,1,1,1,0,0,0,2,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,2,0,0,0,0,0,0,1,0,1,1,2,1,0,0,0,0,0,0,2,1,1,1,0,2,2,1,0,1,0,1,2,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,2,0,1,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,1,1,0,1,0,0,0,0,0,0,2,2,2,1,2,0,0,0,0,2,0,1,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0,1,1,0,0,2,1,0,2,1,2,0,0,0,2,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,2,2,0,0,0,0,0,1,0,0,1,0,1,0,0,0,2,0,0,0,0,0,2,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,2,1,1,0 0,0,0,1,1,0,0,1,1,1,2,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,1,1,0,2,1,2,0,0,0,1,2,0,0,1,1,0,1,1,0,0,1,1,1,1,0,0,0,1,1,2,0,1,1,0,0,1,0,0,0,0,0,2,1,1,2,1,1,1,0,0,2,2,1,0,1,1,1,0,1,0,0,0,0,0,1,2,1,0,1,1,2,0,0,1,0,0,0,1,0,0,2,2,1,1,2,2,0,0,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,2,1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,1,0,2,1,0,1,0,1,1,2,1,1,1,1,0,0,1,0,0,1,0,0,0,2,0,0,0,1,0,1,1,1,0,1,0,2,1,0,0,0,0,0,1,1,1,0,0,0,0,1,2,0,1,2,2,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,2,2,1,0,0,1,0,0,2,1,0,1,0,1,1,1,1,0,1,0,0,0,0,2,0,0,1,0,1,1,0,0,0,0,2,0,0,0,0,1,1,2,0,1,1,2,0,0,1,0,1,0,0,1,1,0,1,1,2,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,2,0,0,2,0,0,0,0,2,0,1,0,1,0,0,0,1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,2,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,2,1,1,0,1,2,1,0,1,1,0,2,0,1,1,1,0,0,0,1,0,1,0,0,0,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0,2,0,1,0,0,1,2,1,0,1,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,2,0,1,1,0,0,0,0,1,0,1,0,0,1,2,2,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,2,0,2,0,1,0,0,1,1,1,0,0,1,0,2,0,2,0,1,1,0,0,1,0,0,0,2,1,0,0,0,1,1,0,2,1,0,1,0,2,0,1,0,0,0,1,2,1,2,1,0,0,0,2,2,0,0,0,0,0,0,2,0,2,1,1,0,1,2,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,2,0,1,1,0,0,1,0,2,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,2,0,0,1,0,0,0,1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,1,0,2,2,2,1,0,2,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,2,1,1,1,0,2,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,2,1,0,0,0,1,0,1,0,0,2,0,1,2,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,2,0,1,0,1,0,0,0,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,2,1,1,2,2,0,0,2,1,0,0,0,0,2,1,0,0,0,2,1,0,0,2,0,1,0,1,0,0,0,0,1,1,2,2,0,0,0,0,0,1,1,0,1,2,0,0,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,2,0,0,0,0,0,1,2,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,2,1,1,2,0,0,1,0,0,2,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,2,0,0,0 1,0,1,1,2,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,1,0,1,0,2,0,0,0,2,0,1,0,1,1,0,1,1,1,0,2,1,0,0,0,0,0,0,0,0,0,2,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,2,0,0,2,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,2,1,1,0,0,0,0,1,1,0,2,0,1,1,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,2,0,1,0,0,0,1,1,1,0,1,0,1,2,0,0,0,1,0,0,2,1,0,0,0,1,1,1,1,0,0,0,1,1,0,0,1,0,1,1,2,0,0,0,0,0,0,0,0,1,1,0,0,0,2,1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,1,0,2,0,2,2,1,0,1,1,0,0,1,0,1,0,0,1,0,2,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,1,1,2,1,0,1,0,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0,1,1,1,1,0,0,0,2,0,0,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,1,1,1,0,2,1,0,0,1,0,0,0,0,1,1,0,1,1,1,1,1,1,1,0,0,0,1,0,1,0,1,1,2,1,0,2,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,1,1,1,2,1,0,1,0,1,0,0,0,0,0,1,0,1,1,0,2,0,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,2,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,2,1,0,0,1,0,0,0,1,0,0,1,2,2,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,1,0,0,1,2,0,0,0,0,2,0,1,0,2,0,1,0,1,0,0,0,2,1,1,1,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,1,2,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,1,0,0,0,0,0,0,0,0,2,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,1,2,1,0,0,1,0,0,1,0,2,2,1,0,1,1,1,2,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,2,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1,1,2,0,0,1,1,1,2,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,1,1,1,2,1,0,0,0,0,1,0,1,2,0,0,0,2,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,2,0,0,1,1,0,0,2,1,0,0,0,0,1,2,1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,1,1,1,1,0,0,0,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,2,1,1,1,1,0,1,0,2,0,0,0,0,2,1,0,1,0,0,2,0,0,0,0,0,1,2,0,1,0,0,1,0,2,0,1,0,1,0,0,0,0,1,1,1,0,0,0,2,1,0,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,2,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,2,0,0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,2,0,0,1,2,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,2,0,2,0,0,0,0,1,0,1,0,2,0,0,0,0,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0 1,0,0,1,1,1,0,0,2,1,1,0,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,2,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,2,1,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,2,0,1,0,0,0,1,2,1,0,0,1,0,0,1,0,2,0,1,2,1,0,0,0,0,1,1,1,0,1,1,2,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,1,1,0,1,0,0,2,1,0,0,1,1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,1,0,0,0,0,1,1,0,2,1,0,1,1,0,0,0,0,1,2,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,0,2,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,1,1,0,1,0,1,0,0,0,0,2,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,1,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,1,1,2,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,1,2,1,2,1,0,0,0,1,0,1,0,0,1,1,0,1,0,1,2,0,1,2,2,0,0,1,0,0,0,0,1,0,2,0,2,0,1,1,1,1,0,2,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,1,1,1,1,0,0,0,0,2,1,1,0,1,1,1,0,1,0,1,1,1,0,0,2,2,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,2,1,2,0,2,0,0,0,1,0,0,1,1,0,1,0,0,0,2,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,2,0,0,1,2,0,2,1,1,0,0,2,1,2,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,1,1,0,2,1,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,0,2,0,2,1,0,0,1,0,2,0,1,1,0,0,2,1,0,0,0,0,0,0,1,1,0,1,2,1,0,1,1,0,0,0,2,2,0,0,0,0,0,1,0,0,2,2,1,1,2,1,1,0,0,1,0,0,1,2,0,0,2,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,1,0,0,1,2,1,1,0,1,1,1,0,1,1,0,1,1,0,2,1,0,0,0,1,1,0,0,0,0,2,0,1,0,1,1,1,0,0,0,1,2,1,2,0,2,1,0,2,1,0,1,0,1,2,1,1,0,0,2,1,2,0,0,0,0,1,2,1,0,0,1,0,2,0,0,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0,0,1,2,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,1,2,0,0,0,0,1,1,0,0,0,0,1,2,2,0,1,1,1,1,0,0,2,0,0,0,1,1,1,0,1,1,0,0,1,0,1,1,0,2,0,0,2,1,1,0,0,0,0,1,1,2,1,2,1,0,0,2,0,0,0,2,0,1,2,1,2,1,0,1,0,1,1,2,1,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,1,1,1,1,1,0,2,1,1,1,1,0,0,0,1,0,1,1,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,1,2,1,1,1,0,1,0,0,0,0,2,0,1,0,0,2,1,2,0,0,0,0,1,0,1,0,1,0,0,2,1,0,0,1,1,0,0,1,1,0,0,2,0,0,0,0,1,1,2,0,0,0,2,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,1,1,2,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0 1,0,1,1,1,1,0,1,1,2,1,1,1,0,1,0,0,2,1,0,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,1,0,1,2,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,2,0,1,1,0,1,1,1,0,0,0,0,0,2,1,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,2,1,0,0,0,1,0,2,1,1,1,0,0,0,0,2,0,2,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,2,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,2,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0,2,1,0,0,0,2,0,0,1,0,0,1,1,2,2,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,2,2,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,1,2,1,0,1,0,2,1,1,0,0,0,0,1,1,1,0,0,0,1,2,2,0,1,1,0,1,0,2,0,0,2,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,2,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,1,2,0,0,1,1,1,0,1,1,0,1,0,1,1,1,2,0,1,1,0,2,1,1,1,2,1,0,1,1,1,2,1,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,2,0,0,0,0,1,0,0,1,1,0,1,1,0,0,2,2,0,1,1,1,1,0,1,1,1,1,0,0,1,1,1,1,0,0,2,0,0,0,0,2,1,0,0,2,0,2,0,2,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,2,0,0,2,0,1,1,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,2,1,1,2,0,1,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,2,2,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,2,1,0,0,2,0,0,1,2,0,0,0,1,2,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,2,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,2,0,1,0,0,0,1,1,0,1,1,1,2,0,1,0,1,0,2,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,2,0,2,0,0,1,1,1,1,2,0,2,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,1,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0,0,1,0,2,0,0,1,1,0,1,1,1,0,1,1,0,0,2,0,1,2,2,0,2,0,0,1,0,1,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,1,1,1,1,1,1,0,2,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,2,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,1,2,0,0,0,0,0,0,1,1,1,0,0,1,1,1,2,0,1,0,0,0,1,0,1,1,1,0,2,0,1,1,0,0,2,1,0,1,2,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,2,1,1,0,2,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,2,0,1,1,0,1,0,1,0,0,0,1,0,2,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,2,0,0,0,1,0,2,1,0,0,0,2,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0 1,0,0,2,0,0,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,2,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,2,0,0,1,0,0,1,1,1,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,1,0,1,0,1,2,1,1,0,2,0,0,0,2,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0,0,0,1,2,0,1,2,1,0,1,1,0,2,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,2,1,1,0,0,2,0,2,2,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,1,0,0,1,0,2,1,1,0,2,2,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,2,2,0,2,0,0,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,1,0,0,2,0,2,0,0,1,0,1,0,0,0,0,0,1,0,1,2,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,1,1,1,0,2,1,2,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0,1,1,0,1,1,0,1,2,0,1,1,0,0,2,0,0,0,2,1,0,1,0,0,0,0,1,2,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,2,1,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,2,2,1,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,2,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,2,1,1,0,0,1,2,0,1,0,1,0,0,1,1,0,2,0,2,0,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,2,1,0,0,0,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,1,2,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,2,0,0,0,0,0,1,1,2,0,1,0,1,1,1,0,2,2,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,2,1,0,1,0,1,2,1,0,0,0,1,1,1,1,1,1,1,1,0,1,1,0,1,2,0,1,0,0,0,1,1,1,0,0,0,1,0,0,1,2,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,0,2,1,2,0,2,0,1,0,0,0,2,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1,0,1,2,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,2,1,1,0,1,0,0,0,0,1,2,0,1,2,1,0,1,0,0,0,0,2,0,1,2,0,0,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,1,2,0,0,1,0,0,1,0,0,0,1,1,0,1,0,2,2,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,2,0,0,1,0,2,1,0,0,0,0,0,1,2,1,0,0,0,0,2,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0,2,0,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,1,0 1,0,2,2,1,0,1,1,1,0,2,2,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,2,1,0,0,1,1,1,0,2,1,0,1,0,1,1,2,2,0,1,0,0,0,0,0,1,2,2,1,2,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,1,1,2,0,1,0,1,1,0,0,2,0,0,0,0,0,0,2,0,0,1,0,0,2,0,1,0,2,0,2,1,2,1,0,0,0,0,1,1,1,1,0,0,0,0,2,0,0,0,0,2,0,0,0,0,2,1,2,1,0,0,0,2,0,2,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,2,0,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,1,1,1,2,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,2,0,2,0,0,0,2,2,0,0,0,1,0,1,0,0,0,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,2,0,0,1,1,2,1,1,0,1,2,1,1,0,0,0,0,0,1,1,0,0,2,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,2,2,0,1,0,1,1,0,0,1,1,0,0,2,0,0,0,0,1,0,0,0,1,1,0,0,1,0,2,0,0,1,2,0,1,2,0,0,1,1,1,1,0,2,1,0,0,1,1,1,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,1,2,0,0,2,0,1,0,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0,0,2,0,0,0,1,0,2,1,1,0,0,0,0,0,0,1,0,1,0,0,2,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0,1,2,0,0,0,2,0,0,2,0,0,1,1,1,2,1,1,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,2,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0,1,2,0,0,0,1,1,1,1,0,2,0,1,0,0,1,2,1,0,0,0,0,0,1,2,0,1,0,2,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0,1,2,2,1,1,0,1,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,2,0,0,2,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,0,0,0,0,2,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,1,0,1,1,2,1,1,2,0,1,0,1,2,2,0,0,0,0,2,0,1,1,1,0,2,1,2,0,1,2,2,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,2,0,1,1,2,0,1,0,1,0,0,0,0,1,0,0,2,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,2,1,1,0,1,0,1,1,0,1,0,1,2,0,1,0,0,1,0,1,2,0,0,1,1,0,2,0,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,2,1,0,0,1,0,1,0,1,2,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,2,0,0,0,0,0,2,1,1,0,0,1,1,0,1,0,0,2,2,0,0,1,0,0,0,1,0,0,2,1,0,0,1,2,0,0,0,1,0,0,2,0,0,2,0,0,1,0,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0,2,2,0,1,1,1,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,2,0,2,1,0,0,0,0,0,2,0,1,1,0 1,0,0,1,0,0,0,1,0,1,1,2,0,1,0,1,0,0,0,0,0,1,0,0,2,0,0,2,0,1,2,0,1,0,0,0,1,0,0,0,0,0,0,1,2,0,0,1,1,2,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,1,0,0,2,1,0,0,0,1,0,2,0,0,0,0,1,1,0,1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,2,0,0,2,1,0,0,0,0,0,0,0,1,1,0,1,2,0,1,1,0,0,0,1,1,2,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,1,0,2,0,0,1,0,0,1,1,0,0,0,2,0,0,0,0,1,0,2,0,1,1,0,1,0,0,2,1,0,0,1,2,0,0,2,0,1,0,0,2,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,1,0,1,0,1,0,2,0,1,1,0,1,1,1,0,1,1,1,2,0,0,0,2,1,0,0,0,0,1,0,0,1,0,1,1,0,1,1,0,1,2,0,0,1,0,1,0,0,0,0,1,2,1,1,1,0,0,0,0,2,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,1,1,0,1,0,2,0,1,2,0,1,0,1,1,1,0,0,0,1,2,0,1,2,1,0,0,1,0,0,0,1,1,1,2,0,1,0,0,0,0,0,1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,2,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,1,1,1,1,1,0,0,1,0,1,0,2,0,0,1,0,1,0,1,0,1,0,0,2,1,1,1,1,0,0,2,0,0,1,0,0,1,0,0,0,0,0,2,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,2,0,0,0,1,0,1,0,0,1,0,0,0,1,0,2,0,0,1,0,0,0,0,2,0,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,2,1,2,1,0,1,0,1,1,0,2,1,0,1,0,0,2,0,0,1,0,1,0,1,1,0,1,1,1,2,0,1,0,0,1,1,1,0,1,0,1,2,0,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,1,0,1,2,0,0,0,0,2,0,0,0,0,0,1,0,0,0,2,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,2,1,2,1,1,1,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,2,0,0,2,0,1,1,0,1,0,1,0,2,1,0,0,0,0,1,0,0,1,2,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,2,1,1,0,0,0,2,1,0,0,2,0,0,1,0,0,0,1,0,0,0,0,0,2,1,1,1,0,2,2,2,0,0,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,1,2,0,0,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,1,1,1,1,1,2,0,0,1,1,0,1,0,0,1,2,0,0,0,0,2,1,0,1,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,0,1,2,1,1,0,0,0,1,0,0,1,0,0,2,0,0,1,2,2,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,1,2,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0,2,0,1,0,0,2,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,2,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,1,2,1,1,0,0,2,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0 0,0,2,0,0,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0,2,0,0,1,0,0,0,0,0,1,1,0,0,2,2,0,1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,2,1,1,0,0,1,0,1,2,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,2,0,1,0,0,2,0,1,2,2,0,0,0,0,1,0,0,1,0,2,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,2,0,2,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,2,0,1,0,1,1,2,0,0,0,0,1,1,0,0,0,0,1,2,0,1,0,1,0,0,2,2,0,0,0,0,0,0,2,1,0,2,0,0,1,0,0,0,1,1,0,1,1,0,2,0,1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,2,1,0,0,2,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,2,2,1,0,0,0,1,0,0,1,0,2,2,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,1,1,0,1,2,1,1,2,2,0,0,1,0,1,1,0,0,1,0,2,1,0,0,1,1,1,2,1,1,2,0,0,0,0,2,1,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,1,0,1,0,0,1,0,2,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,2,0,0,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0,0,1,1,1,2,1,2,1,1,1,0,2,2,0,1,0,0,0,0,0,2,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,2,1,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,2,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,2,0,0,1,0,1,2,0,0,0,0,0,1,2,2,1,0,1,0,0,0,1,2,2,0,1,2,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,2,0,0,0,0,0,0,2,0,1,1,0,0,1,2,0,2,1,0,0,2,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,1,1,2,0,2,0,1,0,0,2,1,2,1,1,1,1,1,1,2,1,0,1,1,1,0,0,0,1,1,1,0,1,0,2,0,0,0,1,1,0,2,0,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,2,1,1,0,1,2,2,0,0,0,1,0,0,0,0,1,2,2,0,0,1,0,1,0,0,0,0,1,1,0,1,0,1,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,2,1,0,1,0,0,2,0,1,1,0,0,0,0,0,0,1,1,0,0,0,2,1,1,0,1,0,0,1,1,2,1,0,1,0,1,2,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,0,1,2,0,0,0,0,0,0,2,0,1,1,0,0,1,1,1,1,0,1,1,1,0,2,1,1,1,0,1,1,0,2,0,0,1,1,0,0,1,0,1,0,2,0,1,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,1,0,0,1,0,0,2,0,0,0,0,2,0,0,0,2,0,0,0,0,2,0,1,1,0,2,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,2,1,0,0,0,0,0,1,1,0,1,0,0,2,0 0,0,2,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,0,0,1,2,1,0,0,1,1,0,0,1,1,0,1,1,1,2,0,0,0,1,0,1,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,2,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,1,1,2,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,0,2,0,0,0,0,0,2,0,1,2,1,0,0,1,2,0,1,1,2,0,0,1,0,0,2,1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,2,0,0,1,0,2,0,1,0,0,2,2,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0,2,0,1,2,0,0,2,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,2,2,0,1,1,1,0,2,1,0,1,1,1,1,2,0,0,1,0,1,0,2,1,0,0,1,0,0,1,0,2,0,0,0,0,1,1,0,0,0,1,0,1,0,2,0,0,1,0,2,0,0,0,0,0,2,0,0,0,0,1,0,1,1,1,0,1,1,0,2,1,0,0,0,0,2,0,1,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,2,1,2,0,1,0,0,1,2,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,2,2,1,1,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,2,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,2,1,0,1,1,0,0,0,0,0,1,2,0,2,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,2,1,0,2,0,0,0,1,1,1,1,0,2,0,0,0,1,0,1,0,1,0,2,1,1,0,1,0,0,0,0,0,0,0,2,0,1,2,0,1,0,0,0,1,2,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,1,2,0,0,0,1,0,1,0,1,1,1,2,0,1,0,1,0,0,0,1,0,1,0,1,0,0,1,1,1,0,1,0,1,1,0,1,0,2,1,0,0,2,0,0,0,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0,2,0,0,0,1,0,0,0,0,1,0,1,0,2,1,0,0,1,2,1,1,0,1,2,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,2,1,0,0,0,0,0,0,0,1,1,0,2,2,1,2,0,0,2,0,2,1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,1,0,2,0,0,0,0,0,0,0,1,1,0,2,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,2,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,2,0,1,0,1,1,0,0,0,1,1,1,1,0,2,0,1,1,1,1,2,0,0,2,1,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,2,0,0,0,2,1,0,1,0,0,0,0,0,2,0,0,0,0,1,1,2,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,1,0,2,2,0,0,0,0,0,0,0,2,0,1,0,0,0,2,2,1,0,0,1,0,1,0,1,1,1,1,0,0,0,1,0,2,1,1,1,0 0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,2,0,0,1,1,0,1,0,1,1,0,0,1,0,2,0,0,2,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,1,0,1,0,1,2,1,0,0,1,0,0,1,0,2,0,2,0,0,0,0,2,0,1,0,1,1,1,0,2,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,2,1,0,1,0,0,2,0,2,1,0,0,1,0,0,1,0,0,0,0,2,0,0,2,0,1,0,0,0,0,1,2,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,2,1,0,0,0,1,0,1,0,0,2,1,1,0,1,1,0,2,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,2,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,2,1,1,0,1,2,0,1,1,1,0,1,2,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,2,1,0,0,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,2,0,0,1,1,1,0,0,1,1,1,0,0,2,1,2,0,1,0,0,1,2,0,1,0,0,0,0,2,1,0,0,1,1,0,2,0,1,1,0,2,0,0,0,1,1,0,0,1,0,0,0,0,0,2,0,1,0,2,1,0,0,0,1,0,0,1,0,0,0,1,0,0,2,1,1,2,0,0,1,0,1,0,2,0,1,1,0,2,0,2,0,0,0,1,1,1,1,1,1,0,1,0,1,0,0,2,0,1,2,0,0,0,1,0,1,1,0,1,0,1,0,0,0,2,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,1,2,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,2,1,0,1,1,0,1,2,0,0,0,1,0,1,2,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,1,0,2,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,1,0,0,2,1,0,0,0,1,2,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,1,2,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,2,0,1,1,2,0,1,0,2,1,0,1,0,2,2,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,1,2,0,1,1,1,0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0,1,0,2,0,0,0,1,0,1,0,0,0,2,0,1,1,1,2,1,0,0,0,0,0,0,1,0,2,1,2,0,0,2,0,1,0,0,2,0,0,1,0,0,2,2,0,0,0,1,0,0,1,0,1,0,0,0,1,2,2,0,1,0,0,1,0,0,0,1,0,2,1,0,0,2,1,0,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,2,1,1,1,0,2,0,0,1,1,0,1,0,0,1,0,1,1,2,0,0,1,0,1,2,0,0,1,0,2,0,1,2,0,0,0,0,1,1,2,1,1,2,1,0,0,1,1,0,0,0,2,0,0,0,2,0,1,1,0,0,0 1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,1,1,0,0,2,0,1,1,0,0,1,1,0,0,0,2,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1,2,0,2,1,2,0,0,1,1,1,0,0,0,0,0,2,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,2,1,1,0,1,2,1,1,0,0,1,0,2,0,2,1,1,0,1,1,0,1,0,0,2,1,0,1,0,1,1,0,1,0,0,0,1,1,0,1,1,2,0,1,0,0,0,0,0,1,2,0,1,0,1,2,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,0,1,0,1,1,0,2,0,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,2,1,1,2,1,0,0,1,1,0,0,0,0,0,0,1,1,1,1,0,1,0,0,1,1,1,0,0,0,2,0,0,0,2,1,1,1,0,2,0,2,0,1,0,0,0,0,1,0,0,1,1,1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,1,0,0,1,1,1,0,1,2,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,2,0,0,1,0,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,2,1,2,1,1,0,0,0,0,1,0,1,0,1,1,2,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,2,0,0,1,1,1,0,0,1,0,1,2,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,1,2,0,0,1,2,1,0,1,0,0,0,1,0,0,0,1,1,2,1,1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,1,1,0,0,0,0,0,1,2,1,1,1,0,1,0,2,2,1,0,0,0,0,0,0,1,0,1,0,2,0,1,0,0,2,0,0,0,1,0,0,0,0,0,2,0,1,0,1,0,1,0,1,0,1,2,0,0,2,0,0,0,1,2,2,0,0,1,1,0,1,1,0,0,0,0,1,2,1,2,1,1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,2,2,0,2,1,1,1,1,1,2,1,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,2,0,2,0,0,2,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,2,1,0,1,0,1,1,1,1,0,0,0,0,0,0,2,0,1,0,0,1,0,1,0,2,1,1,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,1,0,2,0,0,1,0,2,0,1,0,1,0,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,0,1,0,1,1,2,0,1,1,2,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0,1,0,2,0,0,0,1,1,0,2,0,1,0,0,0,2,1,0,0,0,0,1,2,1,0,0,0,1,2,1,0,0,0,0,1,0,0,0,1,1,0,2,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,2,1,0,0,0,2,1,1,1,1,0,0,0,1,0,1,0,0,1,0,2,0,2,0,2,0,0,0,0,0,0,0,1,1,1,1,0,1,0,1,1,1,2,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,2,1,0,0,1,2,1,0,0,1,0,0,1,0,1,1,0,0,2,0,0,0,0,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,2,0,0,0,1,2,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,0 0,0,1,1,1,0,0,2,1,0,1,1,0,1,2,0,0,0,1,0,0,1,0,1,1,0,0,1,0,2,2,0,1,0,2,0,0,0,1,1,0,2,1,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,2,1,1,1,1,0,0,0,2,1,0,0,0,1,0,0,1,1,1,0,1,0,2,1,0,1,1,2,0,1,0,1,1,0,1,2,0,1,0,0,1,2,0,0,0,2,1,0,2,0,0,1,2,0,1,0,0,1,1,0,0,0,2,1,0,0,0,1,0,1,0,0,0,2,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,2,0,1,0,0,1,0,1,0,0,2,1,1,1,0,1,0,0,0,0,0,0,1,1,1,0,2,0,1,0,0,2,0,0,1,0,0,0,0,1,0,1,1,1,2,0,1,0,0,0,2,1,1,0,0,0,1,2,0,0,0,1,1,0,0,0,1,1,1,0,0,1,1,1,0,1,2,1,0,0,0,1,0,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,2,1,1,0,0,1,1,2,2,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,1,0,2,2,0,0,1,0,0,0,1,0,0,0,0,0,0,2,1,0,0,1,0,1,0,0,0,1,1,0,2,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0,2,0,1,0,0,1,0,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0,2,0,0,1,1,1,0,0,1,0,0,0,1,1,0,1,0,2,2,1,0,0,0,0,1,0,0,1,0,0,1,1,0,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,0,2,1,1,0,2,0,2,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,2,0,0,1,1,0,2,0,0,0,0,0,0,2,1,0,1,0,0,1,0,0,2,0,1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,2,0,0,1,2,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,0,2,0,0,1,0,0,1,1,0,1,0,0,2,0,1,1,1,0,0,2,0,0,2,0,1,0,0,0,0,2,0,0,0,0,1,0,2,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,1,0,2,0,0,1,2,0,1,1,0,0,0,0,1,1,0,0,1,0,2,0,1,0,0,0,0,1,2,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,2,1,0,0,0,1,0,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,2,0,1,1,0,1,0,0,0,1,2,0,1,1,0,0,0,1,0,0,0,0,2,0,0,0,1,0,1,0,1,1,0,1,0,0,0,0,0,2,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,1,2,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,2,0,1,0,2,1,1,1,1,0,1,1,2,2,0,0,1,1,1,1,2,0,0,0,1,0,0,2,0,0,1,1,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,2,0,0,0,1,2,0,0,0,0,1,1,0,2,1,1,2,0,0,0,0,0,2,0,0,0,0,0,0,2,0,1,0,1,0,0,2,1,0,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,2,0,0,1,0,0,0,0,0,2,1,0,1,2,0,2,1,0,0,0,0,1,2,0,0,0,0,0,0,1,0,1,1,0,0,0 1,0,1,0,1,1,0,0,1,1,2,1,0,0,0,1,0,2,0,0,0,0,0,0,1,0,2,2,0,1,1,0,2,0,0,0,1,2,0,1,2,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,2,1,0,0,1,2,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,2,0,1,0,0,0,1,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,1,2,0,1,1,0,0,0,0,1,2,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,2,0,0,0,0,1,0,0,2,2,0,0,1,0,0,1,1,0,2,2,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0,1,1,1,0,2,0,1,0,0,0,0,2,0,0,0,0,0,0,1,1,0,0,1,0,2,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,2,0,1,0,2,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,2,1,1,1,1,1,2,0,0,2,0,0,1,2,0,0,0,1,2,0,1,1,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,2,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,1,1,1,2,0,1,1,0,1,1,1,0,0,2,0,1,0,0,2,0,0,0,0,0,0,0,1,1,2,0,0,0,0,2,0,0,1,1,0,0,0,0,0,2,0,0,0,0,1,1,0,0,1,0,1,0,0,2,0,2,0,0,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,0,0,2,0,1,1,0,0,0,1,0,1,0,0,0,2,0,1,1,0,0,1,0,0,1,1,0,1,1,2,1,1,1,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,2,1,0,0,0,0,2,1,0,0,0,0,1,1,0,2,2,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,2,0,1,0,0,0,1,1,0,1,0,1,0,1,0,2,0,2,0,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,2,0,2,1,2,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,2,1,0,0,1,1,0,0,1,2,0,1,1,0,1,0,0,0,2,0,0,0,1,2,1,1,2,1,0,2,1,0,1,1,1,1,1,0,1,1,2,0,1,0,1,1,0,1,0,1,0,0,1,0,0,1,1,0,2,2,0,1,2,1,2,0,1,1,1,0,1,0,1,0,2,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,2,2,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,1,2,1,0,0,2,0,1,1,1,1,0,0,0,0,2,2,1,1,1,1,0,0,2,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,2,1,0,0,1,1,2,1,2,0,0,1,1,0,1,1,2,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,2,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,2,1,1,0 0,0,0,1,1,0,0,0,0,0,1,1,1,2,1,0,0,0,1,0,0,0,0,0,2,0,2,2,1,1,1,0,0,0,1,0,2,0,0,0,2,2,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,2,2,2,0,0,2,0,0,1,0,1,0,1,0,2,0,1,1,2,1,0,0,0,0,0,0,2,0,0,1,0,1,2,2,1,0,0,1,1,1,0,1,0,1,0,1,1,0,0,2,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,1,0,0,2,0,0,0,0,1,1,0,2,0,0,0,0,0,2,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,2,0,2,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,1,0,1,2,0,0,0,0,0,2,0,0,2,0,2,0,0,0,0,0,1,0,0,0,1,2,0,2,0,0,1,1,0,2,1,0,1,0,2,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,1,2,0,0,0,0,0,0,0,1,0,1,0,0,2,0,1,0,0,1,1,0,1,1,1,1,0,0,0,2,1,1,1,0,0,1,1,0,0,1,1,0,1,2,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,2,1,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,2,0,0,0,0,0,1,0,0,1,1,2,0,1,1,1,2,0,1,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,2,1,0,0,1,0,0,0,2,0,1,1,1,0,0,0,0,2,2,0,0,0,1,1,2,0,1,1,1,0,1,1,1,1,0,1,2,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,2,0,0,0,0,0,0,0,0,1,2,0,0,0,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0,2,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,2,2,0,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,2,0,1,1,0,0,0,1,1,1,1,0,1,1,0,0,2,1,2,0,1,0,0,0,1,2,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,2,0,1,0,2,0,0,1,2,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,0,0,1,0,2,0,0,0,0,0,0,0,2,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,2,0,2,0,0,0,2,1,0,0,2,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,2,1,0,1,0,0,2,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,1,1,0,2,0,1,1,1,0,0,0,0,0,0,1,0,2,1,0,1,0,0,0,0,0,1,0,2,1,0,0,2,0,2,1,1,0,0,0,1,1,1,0,0,0,2,1,1,1,0,0,0,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,2,1,0,1,1,0,1,0,1,1,0,2,1,0,0,0,0,2,1,0,1,1,1,0,1,0,0,0,2,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,2,1,0,1,0,0,0,1,1,0,1,0,1,2,0,0,2,1,0,1,0,0,0,0,0,1,0,2,0,0,1,2,0,0,0,0,0,2,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,2,2,1,0,0,1,0,1,1,0,0,1,0,1,1,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0 0,0,0,1,1,1,0,1,0,1,0,2,0,2,0,0,0,2,2,0,1,0,0,0,1,0,1,1,1,1,1,0,1,0,0,0,2,1,0,0,0,2,0,2,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,2,1,0,0,2,1,0,1,0,1,1,0,0,0,0,2,2,1,0,0,0,1,0,1,2,1,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,1,1,0,1,2,0,2,2,1,0,0,1,0,0,1,0,1,2,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,2,2,1,0,0,0,1,1,0,0,2,1,1,2,0,0,0,2,0,0,2,1,1,0,1,0,1,0,2,0,0,0,1,0,0,0,1,0,2,1,0,0,2,0,1,1,0,0,0,2,2,2,0,1,1,1,0,1,0,0,1,0,2,0,1,1,0,1,1,2,0,2,2,0,0,1,2,1,0,0,1,0,1,0,2,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,0,0,1,0,2,1,0,1,2,1,0,0,0,1,1,1,0,0,0,0,0,2,1,0,0,0,0,0,1,1,0,0,1,1,0,2,0,2,0,0,2,1,0,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,2,1,2,1,0,0,0,0,0,0,2,1,2,0,0,2,0,0,0,1,0,0,1,1,0,0,1,2,1,0,1,1,1,2,0,0,1,1,2,0,0,1,0,0,0,0,0,0,0,2,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,2,1,1,1,2,1,1,0,0,0,2,0,2,0,0,0,1,0,1,2,2,1,1,0,0,0,0,0,1,1,1,1,0,0,1,1,2,1,0,1,0,1,0,1,0,0,1,2,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,2,0,2,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,2,1,1,0,0,0,0,1,2,0,1,1,0,1,1,0,0,1,1,2,2,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,1,1,1,1,0,0,1,0,0,2,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,2,1,1,1,0,1,1,1,1,0,2,0,0,0,2,0,1,0,1,1,0,0,0,0,0,1,1,2,0,0,1,0,0,0,0,0,2,1,0,1,0,0,0,2,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,2,1,0,1,0,0,1,0,0,1,1,0,0,2,0,0,0,2,1,0,0,2,1,0,2,0,1,2,1,2,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,1,0,2,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,2,0,0,0,0,0,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,1,2,0,2,1,0,1,2,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,2,0,0,1,1,2,0,0,1,1,1,2,0,0,0,2,0,1,1,2,2,2,1,0,0,0,1,0,1,0,0,1,2,0,0,0,0,2,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,2,1,0,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,0,2,0,0,0,1,1,2,1,1,1,0,0,0,0,1,1,0,0,2,2,2,1,0,0,0,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,2,1,0,0,1,1,0,0,2,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,1,0,0,1,0,2,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,2,0,1,1,0,0,0,0,1,0,2,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,0 0,0,1,1,0,1,0,0,0,1,1,1,0,2,1,1,1,0,0,0,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,2,0,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0,1,0,0,1,2,0,0,0,0,0,1,0,1,2,0,0,0,1,1,2,0,0,0,1,1,0,1,1,2,0,0,0,1,0,1,0,2,2,1,0,0,0,2,0,0,1,0,0,2,0,1,0,1,0,0,0,1,0,0,0,0,1,1,1,1,0,0,0,1,0,1,1,2,0,0,2,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,2,0,0,0,1,1,0,2,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,1,1,1,1,1,0,0,0,1,1,0,1,2,1,0,1,1,1,1,0,1,0,1,1,1,1,0,1,0,0,2,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,2,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,2,0,0,0,2,1,1,1,0,0,0,0,1,1,1,0,1,1,2,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,0,1,2,0,0,0,1,2,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,2,2,0,0,1,0,2,0,1,1,0,0,1,0,1,2,0,1,0,1,1,0,0,2,0,0,0,1,1,1,0,0,2,0,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0,1,2,0,2,0,1,0,0,0,1,0,1,2,0,0,0,2,0,0,1,0,0,1,0,1,1,1,2,0,0,0,0,1,1,1,1,0,0,2,1,1,1,0,0,1,1,2,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,2,0,0,0,0,1,0,1,1,0,1,0,0,0,0,2,0,0,2,0,0,0,0,0,2,0,0,2,0,0,1,1,0,0,0,0,0,2,0,2,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,1,1,1,2,1,1,0,1,0,1,0,1,1,1,2,0,0,1,0,2,0,1,0,0,0,0,0,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,2,1,0,0,2,0,1,0,1,0,1,1,2,0,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,1,1,0,1,0,1,2,1,1,1,0,0,1,2,0,0,1,0,0,0,1,0,2,1,0,0,2,0,0,1,1,0,0,1,1,0,2,0,2,0,2,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,2,0,0,0,0,0,0,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,2,1,1,2,2,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,1,1,0,1,1,0,1,0,2,0,1,2,0,0,1,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,1,1,0,0,1,0,1,2,0,1,0,0,0,0,1,1,0,0,0,0,1,0,1,0,1,0,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,2,0,0 0,0,0,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,1,0,0,0,2,0,0,2,2,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,1,1,2,0,0,1,1,2,1,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,1,2,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,2,0,0,0,1,1,0,2,0,0,1,0,1,2,1,0,0,1,2,1,1,0,2,0,2,0,0,1,1,0,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,2,1,0,0,0,0,1,0,2,0,0,0,0,1,2,0,1,1,0,0,0,1,1,1,1,1,2,1,0,1,0,0,2,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,2,1,1,0,1,0,0,0,0,2,0,0,1,1,1,2,2,0,1,0,0,1,1,1,1,0,0,1,0,1,2,1,0,1,1,0,1,1,0,0,1,0,0,0,2,0,2,0,0,0,0,1,2,0,1,0,0,1,1,1,2,1,1,0,0,1,2,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,1,0,0,0,0,0,0,2,1,2,1,0,0,1,0,1,1,1,0,0,2,1,1,1,1,1,1,0,1,0,0,1,0,2,1,0,0,0,0,1,1,1,1,1,1,0,1,0,1,0,1,2,0,1,1,1,1,0,0,0,2,1,0,1,2,1,0,2,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,2,1,0,2,1,0,0,1,1,0,1,0,1,1,0,1,1,2,0,1,1,1,0,0,1,0,1,1,0,1,1,0,1,1,1,1,2,0,1,2,0,0,0,2,1,1,0,0,1,0,0,0,1,1,0,0,1,2,0,2,1,2,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,2,0,2,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,2,1,1,2,1,0,0,0,0,2,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,1,1,2,0,1,1,2,1,1,1,1,1,0,1,0,1,0,2,1,1,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,2,0,1,0,0,1,0,0,0,0,2,0,0,0,2,2,0,0,1,0,1,2,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0,2,0,0,0,1,1,0,2,0,0,1,1,0,0,0,0,1,0,0,1,1,1,1,1,1,0,0,1,2,0,1,0,0,0,0,1,0,2,0,2,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,2,1,0,0,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0,1,0,2,0,1,2,1,0,1,1,0,0,1,0,0,1,0,1,2,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,1,2,0,1,0,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,1,2,1,0,0,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,1,1,1,1,1,2,0,1,0,2,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,2,1,0,2,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,2,1,0,1,0,1,1,0,0,1,2,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,2,1,1,0,0,1,0,2,0,2,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0 0,0,0,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,0,2,0,0,0,1,0,0,0,1,1,1,0,1,0,0,2,1,1,1,0,1,0,1,0,1,0,1,2,0,0,0,0,0,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,2,1,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,2,2,2,0,1,2,1,0,2,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,2,0,2,0,1,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,1,0,1,1,0,0,2,2,0,1,0,0,0,0,0,0,0,1,2,0,0,1,0,1,0,2,0,1,1,2,0,2,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,1,1,0,0,0,2,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,2,0,2,2,1,0,0,0,0,1,0,2,1,0,0,2,0,2,0,0,0,1,1,0,0,1,0,0,0,1,0,0,2,0,1,0,0,1,0,0,2,0,0,0,0,2,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,2,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,1,0,1,0,0,2,1,0,1,0,0,0,0,1,1,0,1,2,0,0,1,2,1,0,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,1,1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,1,1,1,0,0,1,2,0,0,0,1,2,0,2,0,1,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,0,2,0,1,0,1,1,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,2,1,2,1,1,0,1,0,2,1,0,0,0,0,0,1,1,0,1,0,2,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,1,1,1,2,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,2,1,0,1,1,0,0,1,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0,2,0,0,0,2,1,1,0,1,0,1,0,0,0,2,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,2,0,0,1,0,1,0,0,0,0,1,1,1,0,1,1,2,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,2,0,1,2,0,2,0,0,0,0,0,0,1,0,1,1,1,1,1,1,1,0,0,0,0,2,1,0,0,0,0,0,2,0,0,0,1,2,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,2,0,0,0,1,1,0,1,1,1,2,1,1,0,1,0,0,1,0,0,0,2,0,0,1,1,1,1,0,1,0,1,0,0,0,0,2,1,0,0,1,1,0,1,0,2,0,0,0,2,2,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,1,1,0,1,0,1,0,0,2,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,2,0,1,0,1,1,1,1,2,1,0,1,0,1,1,2,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,2,1,1,2,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,2,0,0,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0 0,0,0,0,1,0,1,0,2,2,2,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,2,0,0,1,1,0,1,1,1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,2,1,0,1,1,0,1,0,0,1,0,0,0,1,2,1,1,2,2,0,0,0,0,0,0,1,0,2,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,2,1,0,1,0,1,0,2,0,2,1,1,0,2,1,2,0,1,1,0,0,0,0,1,0,0,0,2,1,1,0,1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,1,0,0,1,0,1,0,2,0,2,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,2,2,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,2,0,0,2,0,0,1,1,0,0,1,0,1,0,0,1,1,2,2,1,0,0,0,2,2,0,2,1,1,0,0,1,1,2,1,0,0,0,2,0,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,2,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,2,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,2,0,1,1,0,0,1,0,0,0,0,1,0,1,2,0,0,1,0,1,0,1,2,0,1,0,1,1,0,0,1,0,0,0,2,0,0,0,2,0,0,0,0,0,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0,0,2,0,1,0,1,0,0,1,0,2,2,0,0,0,1,1,0,1,1,1,2,0,1,0,1,0,1,0,0,0,2,0,1,0,2,0,0,0,0,0,1,0,0,0,1,0,0,2,1,1,1,1,2,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,2,0,1,0,0,0,0,0,1,1,0,0,1,0,2,0,1,1,1,1,0,1,2,0,0,0,1,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,1,1,1,1,1,1,2,1,0,0,1,0,2,1,1,0,1,0,1,1,0,2,1,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,2,1,0,0,0,0,1,0,0,2,0,1,1,0,1,0,1,0,2,0,1,0,0,0,0,1,2,0,0,2,0,0,1,0,0,0,1,0,0,1,0,1,2,0,0,1,0,0,0,0,0,0,1,0,1,1,2,0,0,0,1,2,2,2,1,0,1,0,1,1,1,0,0,0,1,1,0,2,2,0,1,0,0,1,1,1,0,1,1,0,0,0,1,1,2,1,0,0,0,0,2,1,1,2,2,2,1,0,1,0,1,0,0,0,1,0,0,1,1,0,1,0,2,0,0,0,1,0,0,1,0,1,0,0,1,0,2,0,1,0,1,0,0,0,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,2,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,1,0,0,0,1,1,2,0,1,0,0,2,0,0,1,0,0,0,2,0,0,0,0,0,1,2,2,1,0,0,0,1,2,2,0,2,2,0,0,0,0,0,0,1,0,2,0,1,0,1,0,0,0,0,1,0,0,0,2,1,1,2,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,2,0,1,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,1,0,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0 2,0,0,1,0,0,1,0,1,0,1,0,1,1,1,1,1,2,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,2,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,2,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,2,0,0,0,0,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,2,0,1,0,1,0,0,2,0,0,2,0,2,0,2,0,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,1,0,1,2,0,2,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,1,1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,2,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,2,1,1,2,0,0,0,0,1,0,0,1,1,1,1,1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,1,1,0,2,1,0,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,1,0,1,2,2,0,0,1,1,0,1,0,1,1,0,0,0,2,0,1,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,2,1,1,0,0,1,1,0,1,0,0,1,1,0,0,2,0,1,0,1,0,0,1,1,1,1,1,1,2,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,2,2,0,1,1,1,0,1,0,0,1,1,1,1,2,0,0,1,1,0,2,1,0,2,1,2,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,1,1,0,2,0,0,0,2,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,2,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,2,1,0,0,0,1,0,1,0,0,0,1,1,0,1,0,1,1,0,1,2,0,0,1,0,1,2,1,1,0,1,0,1,0,2,0,2,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,2,1,0,0,0,1,2,0,0,0,2,1,0,0,1,0,1,1,0,0,0,0,0,2,1,0,0,0,1,1,1,0,2,1,2,2,0,0,0,0,2,1,0,1,0,0,1,1,0,1,1,1,1,1,0,2,1,0,0,0,1,1,0,0,0,0,1,2,1,1,1,1,1,0,0,0,1,0,1,1,1,1,0,2,0,1,1,0,1,1,0,0,0,2,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,1,2,0,1,1,0,0,0,0,1,0,1,0,1,2,1,0,1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,2,0,0,2,2,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,0,0,2,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,2,0,2,0,1,2,2,1,1,1,1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0 0,0,1,1,0,0,2,0,1,1,0,0,0,1,2,0,0,1,1,0,0,0,2,0,0,0,1,1,1,0,1,0,2,2,0,0,1,0,0,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,2,1,0,0,0,1,0,1,1,1,1,0,0,0,0,2,0,1,2,0,0,0,0,0,1,0,0,2,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,2,0,1,0,0,0,2,1,1,1,0,0,0,1,0,1,1,2,2,1,1,2,0,1,0,1,2,1,0,1,0,2,0,2,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,2,0,0,1,0,1,0,0,0,0,1,1,1,1,2,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,1,2,0,0,0,2,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,1,0,2,2,1,0,1,2,1,0,0,1,0,1,0,1,0,0,0,2,0,2,1,0,0,1,2,0,0,0,2,0,0,0,0,1,0,1,0,1,0,1,1,2,1,1,2,0,0,0,0,1,1,0,2,0,2,0,1,0,0,0,1,2,2,1,1,1,0,0,1,2,0,0,1,1,0,1,0,0,0,2,0,0,2,0,1,1,0,2,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,2,1,2,0,2,0,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,2,1,0,0,0,1,1,0,0,0,1,0,2,1,0,2,0,2,0,1,0,1,0,0,0,1,0,0,1,0,0,0,2,2,1,1,1,1,1,0,1,0,0,0,0,0,0,2,2,1,1,0,1,0,1,0,0,2,0,1,1,1,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,2,0,0,1,2,0,0,0,2,1,1,0,0,1,0,2,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,2,0,0,0,1,0,0,1,1,0,0,1,0,0,1,2,2,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,1,1,1,1,0,1,0,1,1,1,1,0,1,1,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,2,1,0,0,1,2,0,0,2,1,0,0,2,0,0,1,1,0,0,0,2,0,2,0,0,1,0,1,0,2,0,0,0,1,1,0,1,0,0,0,2,1,1,2,0,1,2,1,2,2,0,0,0,1,0,0,0,1,0,1,1,0,1,0,1,2,1,1,0,0,1,0,2,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,1,0,2,1,2,2,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,2,2,2,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,2,1,0,0,1,1,1,0,0,0,0,1,2,0,1,1,1,1,0,1,0,0,0,0,0,1,1,2,2,1,0,0,0,1,1,0,1,1,0,1,1,0,0,1,0,2,0,0,0,0,2,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,2,1,1,1,2,1,0,2,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,1,1,1,0,0,2,0,0,2,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,2,0,0,0,0,1,2,0,0,0,0,0,2,0,1,1,0,0,2,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,1,0,2,0,0,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,2,0,0,0,0 0,1,0,1,0,1,0,1,0,1,1,2,0,0,1,0,0,0,1,0,0,0,1,1,0,1,2,1,0,1,0,0,0,0,0,0,1,1,0,0,1,1,0,1,1,0,0,2,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,2,0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,1,0,1,0,2,0,0,0,1,1,2,1,0,2,0,1,1,0,0,2,0,2,0,1,1,1,0,1,1,0,0,0,0,1,2,0,1,2,0,1,0,0,1,0,1,1,2,0,1,0,0,0,1,2,0,0,1,0,0,0,2,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,2,0,1,1,0,0,0,2,0,0,1,0,1,1,0,0,1,1,1,0,2,1,0,1,1,0,1,0,2,2,0,1,1,0,0,0,0,0,0,0,0,0,2,1,0,2,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,2,2,0,0,0,1,2,0,0,0,0,0,0,2,0,0,1,1,0,2,0,1,1,1,2,0,1,0,0,2,1,1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,1,2,1,0,0,2,0,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,2,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,2,0,0,1,0,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,2,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,1,1,0,0,1,1,1,1,2,0,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,2,0,1,0,0,0,0,0,1,1,1,1,1,0,1,1,0,0,1,1,2,0,1,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,2,1,1,1,0,0,0,2,0,1,0,1,0,0,0,0,0,0,0,2,1,1,2,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,1,0,1,1,2,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,2,1,1,1,0,2,1,2,2,0,0,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,2,0,0,1,1,0,1,0,1,1,2,0,1,2,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,1,2,2,0,0,0,1,1,2,0,0,0,0,0,2,0,0,0,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,1,1,2,0,0,0,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,1,1,0,1,2,0,1,1,0,1,1,0,2,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,2,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0,2,0,1,1,0,1,1,1,1,1,0,0,0,1,0,0,2,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,2,1,0,0,1,0,1,0,2,0,0,0,0,0,1,1,1,2,0,0,0,0,0,1,0,1,2,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0,2,0,1,1,0,1,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,2,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,2,0,0,1,1,2,2,1,2,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,2,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0 0,0,1,1,1,0,0,0,1,0,1,0,1,1,2,1,0,0,1,0,0,0,1,0,1,0,1,2,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,2,0,1,0,0,1,0,0,2,0,0,2,0,1,1,1,0,0,0,0,1,0,2,1,2,0,1,0,1,1,1,2,0,0,0,0,0,0,1,0,0,2,1,1,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,1,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,1,1,1,1,0,0,0,1,0,2,0,0,0,2,0,0,0,1,0,0,0,0,0,0,2,1,0,1,1,1,0,2,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,1,2,0,1,0,0,0,2,2,1,0,0,2,0,1,0,0,0,0,1,0,0,2,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,2,1,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,1,0,2,1,0,0,2,1,1,1,1,0,0,0,1,0,0,0,1,0,2,0,0,1,0,0,0,1,0,1,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,2,0,0,2,2,1,0,0,1,1,0,1,1,2,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,2,0,0,0,1,0,1,0,1,1,2,1,0,0,1,0,0,0,0,0,2,0,0,0,2,1,0,1,1,1,0,0,1,0,1,0,0,0,1,1,1,2,0,1,0,0,0,2,0,1,0,0,0,2,0,1,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,2,0,1,0,2,1,0,0,1,2,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,1,2,1,0,1,0,0,0,2,1,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,1,0,1,1,0,1,0,0,0,1,2,2,1,0,1,1,1,1,2,0,1,0,0,0,2,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,0,2,0,0,1,0,0,0,1,1,1,0,1,1,0,1,2,1,2,0,2,2,0,0,1,0,1,0,1,0,1,0,0,1,0,0,0,2,1,0,0,1,1,1,0,0,0,1,1,0,2,0,1,0,1,1,1,2,0,0,0,0,1,1,1,1,1,1,1,0,1,2,0,0,1,1,2,1,1,0,0,0,2,1,1,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,2,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,2,1,1,1,1,2,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,0,2,1,0,2,1,0,1,1,0,0,0,1,0,2,2,1,1,1,1,1,0,1,0,0,2,0,2,1,1,0,0,0,1,1,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,2,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,1,1,1,0,2,1,2,1,1,1,0,0,0,0,0,0,1,2,0,0,2,1,0,0,0,1,0,0,1,1,1,0,0,2,2,1,1,0,0,0,0,0,1,0,0,1,0,2,2,0,1,0,0,0,0,0,0,0,0,2,0,0,1,1,0,1,2,0,0,0,0,1,1,1,0,2,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,2,1,0,0,1,0,0,1,0,0,1,1,0,0,1,2,0,2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0 2,0,0,1,0,1,1,0,0,2,0,0,0,1,0,0,1,1,0,0,1,0,0,0,1,2,1,0,0,1,0,0,0,0,1,0,2,0,0,0,0,1,0,2,0,1,1,2,1,0,2,0,0,0,1,0,2,0,1,2,0,0,1,0,0,2,0,0,1,1,1,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,1,2,1,1,0,1,0,1,0,1,0,2,0,1,0,0,0,0,1,1,2,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,2,0,1,1,0,0,0,0,1,1,1,1,0,0,1,1,0,2,0,0,1,0,1,0,1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,0,2,1,1,1,0,1,0,0,0,0,1,0,0,2,1,0,0,0,1,0,0,1,0,0,1,2,0,1,1,1,1,0,0,2,2,0,2,0,2,0,0,0,1,0,0,1,1,0,1,1,1,0,1,1,2,1,1,0,0,0,0,1,2,0,0,0,2,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,2,1,0,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0,2,0,1,0,1,2,0,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,1,1,0,0,0,0,0,2,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,2,1,1,1,2,0,0,2,1,1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1,2,2,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,1,0,1,1,0,1,0,2,1,0,0,2,1,0,2,0,0,0,0,1,2,1,0,2,0,2,1,2,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,2,0,1,0,1,0,2,0,1,0,1,1,1,0,0,1,0,0,0,0,1,1,1,1,0,0,1,0,1,1,1,1,0,2,0,0,1,1,1,0,0,0,0,0,0,2,1,2,0,0,0,1,0,0,0,1,0,2,1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,2,0,0,1,0,0,0,0,1,0,2,0,0,0,0,1,2,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0,2,1,2,2,1,1,1,1,2,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,2,0,0,1,0,2,1,0,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,1,0,2,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,1,1,2,0,1,1,0,0,0,0,2,0,0,1,0,0,2,0,1,1,0,0,0,0,0,1,0,0,0,0,2,0,1,1,2,0,0,0,1,1,2,0,0,1,2,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,2,0,0,0,0,1,2,1,0,1,0,0,0,1,0,2,0,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,2,1,0,1,0,0,0,1,0,1,0,0,2,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,2,0,0,1,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,2,0,0,1,0,2,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,2,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,2,0 1,0,1,1,0,0,1,2,0,0,2,2,1,1,2,1,0,1,0,0,0,0,1,0,1,1,0,0,0,1,2,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,2,0,2,1,0,1,0,1,0,1,1,0,2,0,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,1,2,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,2,0,0,0,0,1,1,1,0,2,1,1,2,0,0,1,1,0,0,1,0,0,1,0,2,1,2,0,0,2,0,1,1,1,0,0,0,0,2,1,2,0,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,2,0,1,0,0,2,0,1,0,0,1,0,0,0,0,1,2,0,1,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,1,1,1,0,1,1,1,0,2,1,2,0,0,1,0,1,0,0,0,1,0,0,2,1,1,0,2,1,0,1,0,0,2,0,0,0,0,0,0,1,0,2,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,2,0,0,0,0,0,0,1,1,1,1,0,0,0,1,2,0,1,0,1,1,2,1,0,0,2,0,0,1,1,1,2,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,1,0,0,1,0,0,0,1,1,0,2,0,2,0,0,1,1,0,0,2,0,1,1,0,1,0,0,0,0,0,2,1,0,2,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,2,0,1,2,1,1,0,0,0,0,1,0,0,1,0,2,0,1,1,0,0,1,0,0,1,0,0,2,1,1,2,1,1,2,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,2,0,0,1,0,2,2,1,0,1,1,0,0,0,0,0,1,0,0,0,0,2,1,0,0,1,1,0,0,1,0,0,0,0,0,2,0,0,1,2,1,0,0,1,0,0,0,0,2,1,0,0,1,0,0,0,0,0,2,1,0,1,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,2,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,2,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,2,0,0,0,1,0,2,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,2,0,0,2,0,0,0,1,0,2,0,0,1,1,1,0,1,1,0,0,2,1,0,0,0,0,1,1,1,1,0,1,1,0,1,1,1,0,1,0,1,1,1,2,1,0,0,2,0,1,1,2,0,1,1,0,0,0,0,0,0,1,0,1,0,2,0,0,1,1,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,1,0,1,2,0,0,0,1,0,2,2,1,0,0,1,0,2,0,0,2,1,1,1,1,0,0,2,1,1,1,1,1,1,0,0,0,0,2,1,0,2,0,0,2,1,0,0,1,1,0,0,0,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,1,2,2,0,2,0,0,0,0,2,0,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,2,0,0,0,1,2,0,0,0,1,0,2,0,1,1,1,1,0,1,1,1,0,1,0,2,0,1,0,1,0,1,1,1,1,1,0,0,0,0,2,1,1,0,1,0,2,1,1,0,1,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,1,1,2,1,0,2,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,2,1,0,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,2,0,1,1,0,1,0 1,0,1,2,0,0,0,0,1,2,2,0,0,1,1,0,0,0,1,0,0,0,2,1,2,2,1,2,0,1,1,0,1,0,0,0,0,0,0,0,0,2,0,1,2,1,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,1,2,0,0,0,0,1,0,1,1,2,0,0,1,0,0,0,0,0,2,1,2,0,1,0,1,1,1,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0,2,0,0,1,2,0,2,1,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,2,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,2,0,0,1,2,0,1,1,1,0,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,2,2,1,1,0,1,0,0,2,0,0,0,0,0,0,2,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,1,0,0,0,1,2,2,1,0,0,1,1,0,1,2,2,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,1,2,1,0,0,0,0,0,1,2,0,1,0,0,1,1,1,1,0,0,1,1,1,2,1,0,0,0,0,2,1,1,0,1,0,1,0,0,1,0,0,1,1,0,1,0,2,0,2,1,2,1,1,1,1,2,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0,1,1,1,1,1,1,0,1,1,1,1,1,2,0,0,1,0,0,0,1,0,1,0,0,2,2,0,0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0,2,1,0,0,0,0,2,2,1,1,0,1,1,0,1,0,2,0,2,0,1,0,1,2,2,0,1,0,0,1,0,2,0,0,0,1,1,0,0,0,0,1,0,2,0,0,2,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,1,0,1,2,1,0,0,0,0,0,1,2,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,2,1,0,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0,1,0,1,1,0,2,0,0,1,1,2,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,1,1,2,1,0,1,1,0,1,0,1,0,0,0,2,1,1,1,1,1,0,0,2,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,2,1,2,0,2,0,1,1,1,0,0,0,1,0,2,0,0,2,1,0,0,1,1,0,0,1,0,1,0,1,0,2,1,0,0,1,1,1,1,1,2,2,0,1,0,0,2,0,0,0,1,0,1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,2,0,0,0,0,1,1,0,0,2,0,0,0,0,1,0,1,1,0,2,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,1,1,0,1,1,0,2,1,2,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,2,0,1,0,2,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,2,2,0,0,0,1,1,2,0,0,1,1,1,0,0,0,0,0,2,1,1,2,0,0,1,1,1,0,0,0,0,2,0,0,0,1,2,2,0,0,0,1,2,2,0,1,1,0,1,2,1,1,0,1,0,0,0,0,2,0,0,0,1,2,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,1,2,0,0,1,0,0,0,2,1,0,0,0,0,0,2,1,1,0,0,1,0,0,1,0,0,2,1,0,0,0,2,2,2,0,1,1,0,1,0,2,1,0,0,0,0,1,1,0,1,0,0,0 0,0,1,2,0,1,0,0,0,1,2,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,2,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,2,0,0,1,0,1,0,0,1,1,0,0,0,0,0,2,0,2,1,1,0,2,0,1,1,1,0,0,1,1,0,1,2,1,0,2,0,0,0,1,0,2,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,1,1,2,1,0,0,0,2,0,1,0,0,1,0,1,0,1,2,0,2,2,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0,2,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0,1,1,1,0,0,2,0,0,0,2,2,1,0,0,1,0,0,2,2,0,0,0,0,0,0,1,1,2,1,1,0,0,1,1,0,1,0,0,0,0,0,0,2,1,0,0,1,0,0,2,1,0,0,1,0,1,0,0,1,0,0,0,1,1,1,2,1,0,0,0,1,1,2,1,0,0,0,0,1,2,1,2,0,0,0,0,1,0,1,1,1,1,0,0,2,1,0,0,0,0,0,1,0,1,0,1,0,2,0,0,1,0,0,1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,1,0,2,1,0,0,0,1,0,1,0,2,1,2,1,0,0,0,0,1,1,1,0,0,0,1,0,2,0,1,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,0,0,1,1,0,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,1,1,0,2,0,0,0,1,0,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,2,0,1,1,1,0,1,0,2,2,1,0,0,2,0,0,0,0,0,1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,1,2,1,0,1,0,2,2,1,0,2,2,1,1,0,0,1,1,0,2,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,1,1,0,0,1,0,2,1,2,0,0,1,2,1,0,0,0,0,1,0,0,1,0,1,1,0,2,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,1,1,1,1,1,0,0,0,1,1,2,1,1,1,0,1,0,2,2,2,1,1,2,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,2,1,1,0,1,0,1,0,0,1,2,1,0,0,0,1,0,1,0,1,0,0,0,2,0,1,1,1,0,1,2,0,0,0,0,0,1,2,0,0,1,2,2,0,1,1,0,0,0,0,2,0,1,0,0,1,0,2,0,0,0,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,1,1,0,2,1,1,1,0,0,1,1,0,0,0,2,0,2,1,0,1,0,0,1,1,0,1,0,0,1,0,0,1,0,2,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,1,2,0,0,1,1,1,2,0,0,0,0,1,0,1,2,1,0,0,2,0,2,0,2,1,2,2,0,0,2,0,1,0,0,1,1,1,0,0,1,1,1,2,0,0,0,2,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,1,2,0,2,1,0,1,0,0,1,2,1,1,0,1,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,2,0,1,1,0 2,0,0,0,1,1,0,2,0,1,1,0,0,1,0,0,0,1,1,0,1,0,1,0,1,1,2,2,0,0,0,1,0,0,2,0,1,0,0,0,2,2,2,1,2,1,0,0,1,1,2,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,2,2,1,1,0,0,0,0,0,0,2,1,0,1,0,1,0,0,2,0,0,1,2,2,0,1,0,1,0,0,2,1,0,0,0,0,2,1,0,0,2,0,1,0,0,1,2,2,0,0,0,0,0,1,0,1,0,2,2,2,1,0,0,2,1,1,0,0,0,0,1,1,2,1,1,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,2,1,1,1,1,1,2,0,0,1,0,2,0,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,2,1,1,1,2,0,0,0,2,1,1,1,1,2,0,0,2,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0,2,1,0,1,1,0,0,0,1,0,0,2,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,1,0,0,1,2,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,0,2,0,2,0,0,0,0,1,1,0,0,2,1,1,0,0,1,0,0,1,1,0,0,1,0,0,2,0,0,1,0,2,0,0,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,1,1,1,0,1,2,0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,2,0,1,0,0,0,0,1,0,1,2,0,1,0,0,0,1,1,2,1,0,0,0,1,0,0,1,0,1,2,0,0,0,0,0,1,0,1,0,1,1,0,2,0,1,0,1,2,0,1,0,1,0,0,0,0,1,1,0,2,2,1,0,1,1,0,0,0,0,1,0,1,2,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,2,0,0,1,0,1,0,1,1,0,2,0,1,0,0,1,1,0,0,1,0,0,2,1,0,0,2,0,0,1,0,0,2,0,0,0,0,1,1,1,2,0,2,0,1,0,0,0,1,1,1,0,1,1,0,0,2,0,0,0,1,1,0,0,0,0,1,1,0,0,1,2,2,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,0,2,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,1,2,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0,2,2,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,1,1,2,1,1,0,0,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,2,0,0,0,2,0,2,1,2,0,2,1,1,1,0,0,0,0,0,1,2,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,1,0,1,1,0,0,1,2,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,1,0,0,0,1,0,1,2,0,0,0,0,0,2,0,0,1,1,0,1,0,1,1,2,0,0,1,1,0,2,1,2,0,0,0,0,1,0,0,0,0,1,1,0,1,2,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0 0,0,1,1,0,2,1,1,0,2,1,1,0,0,1,0,0,2,1,0,0,0,1,0,1,1,0,2,0,0,1,0,1,0,0,0,1,0,1,0,0,2,1,2,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0,2,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,2,0,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,2,1,2,0,0,2,0,0,1,1,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,2,0,0,0,0,1,1,1,1,1,0,0,0,0,1,1,1,2,0,0,0,0,0,1,0,1,0,1,2,0,0,0,1,2,0,0,0,0,0,0,0,1,0,2,1,0,0,0,1,0,1,0,1,0,0,0,2,2,0,2,0,0,1,1,1,0,1,0,0,0,0,1,0,1,2,2,1,0,2,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,2,1,1,0,1,1,1,2,0,0,1,1,0,0,0,0,0,0,0,1,0,1,2,2,1,1,0,1,0,1,0,1,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,2,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,2,0,0,0,1,0,0,2,0,1,0,0,0,0,0,1,0,0,0,1,0,0,2,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,2,1,1,0,0,2,1,0,0,2,0,0,0,1,0,1,1,0,1,2,0,0,2,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,1,0,2,0,2,0,0,0,0,1,1,2,1,0,2,0,1,1,0,2,0,2,0,0,1,0,1,2,0,1,1,1,1,0,1,1,1,1,1,2,0,0,0,1,0,0,2,0,1,1,1,1,0,0,2,0,0,0,1,1,1,1,1,0,1,0,2,0,0,0,1,2,2,0,0,0,0,2,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,2,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,2,0,2,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,2,0,1,0,1,1,1,0,2,1,0,2,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0,2,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,1,0,0,2,0,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,1,2,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,2,2,1,1,1,1,0,2,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,2,0,2,0,1,1,0,1,0,0,1,0,0,0,1,0,0,2,1,2,1,0,1,0,2,2,1,0,0,0,0,0,0,0,2,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,1,1,2,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,2,0,0,0,0,1,0,1,1,0,2,0,1,1,1,0,1,1,0,0,0,0,2,1,0,0,2,1,1,0,0,2,0,2,0,1,0,0,0,0,2,0,2,1,1,0,1,1,0,1,0,1,0,2,0,0,1,0,1,0,0,0,0,1,1,0,2,1,0,0,0,0,1,0,1,1,1,2,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,1,2,1,0,0,0,1,2,0,1,0,1,0,1,0,2,1,0,0,0,1,0,2,0,1,0,0,1,0,0,0,1,0,0,2,0,0,2,0,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,1,0,0,2,0,0,1,0,0,0,2,2,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0 2,0,1,0,0,0,0,0,0,0,0,1,1,0,2,1,0,1,0,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,2,1,0,1,0,0,1,0,0,0,0,1,0,1,1,2,0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0,2,1,0,1,2,1,0,0,1,0,0,0,0,1,1,2,0,1,2,1,2,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,2,1,0,2,0,0,0,0,1,0,0,0,1,1,0,0,1,1,2,2,0,0,0,1,0,1,0,0,1,0,2,2,0,0,0,0,2,0,0,1,0,0,0,0,1,1,1,0,1,2,1,0,2,1,0,0,1,0,1,2,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,2,1,1,2,0,1,0,0,1,1,0,0,2,0,1,0,0,0,1,0,0,0,1,1,0,1,1,1,2,0,1,1,0,0,0,0,1,0,1,0,0,0,2,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,1,1,2,2,0,0,1,1,0,1,1,0,0,2,0,1,0,0,0,1,1,2,2,1,1,1,0,2,1,0,1,1,0,0,1,0,0,0,1,0,0,0,1,1,0,2,0,0,0,0,2,0,0,0,0,1,1,0,1,1,1,0,2,1,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,2,0,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,2,0,0,1,1,0,0,0,2,2,0,0,0,2,0,0,0,0,1,1,1,1,0,0,1,0,1,0,0,2,0,2,0,0,0,0,2,0,2,0,1,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,2,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,0,2,0,0,0,1,1,0,0,2,0,0,1,0,1,0,0,0,2,1,1,0,0,1,1,0,0,0,0,2,0,0,0,1,0,0,1,1,1,0,1,1,1,0,2,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,2,1,0,0,1,0,0,0,0,0,0,1,0,0,0,2,2,1,0,1,2,0,0,2,0,1,0,1,0,1,2,0,0,1,1,0,1,0,1,0,0,1,2,0,0,1,0,1,0,0,0,2,1,1,1,1,2,1,0,0,0,1,0,0,1,1,0,1,0,1,0,2,0,0,0,1,2,0,1,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,2,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,1,0,1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,1,1,1,2,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,2,1,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,2,1,0,1,1,1,1,0,0,1,2,0,1,0,1,0,2,0,0,1,0,0,0,0,0,2,0,0,1,1,0,0,1,1,2,1,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,2,0,0,0,1,0,0,1,1,1,0,0,2,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,2,0,0,0,1,0,0,0,0,1,0,2,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0 2,0,1,0,1,1,0,1,0,1,0,1,0,2,2,1,0,1,1,0,1,0,0,0,2,0,0,1,1,0,2,0,1,0,0,0,1,0,1,0,2,1,0,2,1,0,0,1,0,1,1,0,1,0,0,0,2,1,1,1,0,0,0,1,1,1,1,1,1,1,1,0,2,0,1,0,0,2,0,0,0,0,0,1,1,0,1,0,2,0,1,1,2,0,0,1,0,0,0,0,1,1,1,0,1,1,0,2,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,2,0,0,2,2,0,2,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,2,0,1,1,0,2,1,0,1,0,0,0,0,1,1,0,2,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,0,0,2,0,1,0,0,1,1,1,0,0,1,0,0,2,1,0,0,0,1,0,1,0,1,2,0,2,0,2,0,1,0,2,1,0,0,1,0,0,2,0,0,0,1,1,0,0,2,0,0,2,1,1,0,1,1,2,0,0,0,0,0,0,1,1,1,0,2,2,0,1,0,0,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0,0,1,2,0,0,1,0,1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,2,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,2,1,2,2,2,0,0,0,1,1,1,0,0,2,1,1,2,0,1,0,2,1,0,1,1,1,2,2,1,1,0,1,0,2,1,0,0,0,0,0,0,0,1,2,0,1,0,0,0,1,0,0,1,1,0,0,0,0,2,2,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,2,1,0,1,2,1,0,1,1,0,1,0,0,1,0,0,0,0,1,2,2,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,2,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,2,0,1,0,0,0,0,0,1,0,1,0,0,1,2,0,1,1,1,1,0,1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,0,2,0,0,1,2,1,0,0,0,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,2,0,2,0,0,1,0,0,2,0,1,0,0,1,1,0,1,2,1,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,2,0,0,2,1,1,0,0,1,1,0,0,0,2,0,0,0,0,1,1,2,0,2,0,2,0,0,0,0,0,0,0,1,2,0,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,1,2,1,2,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0,2,1,1,1,0,0,0,0,2,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0,1,0,2,0,0,0,1,0,0,0,0,1,2,1,2,1,1,0,0,0,0,0,1,0,1,0,2,1,0,1,1,0,0,2,1,1,0,2,1,0,2,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,2,0,1,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,2,0,0,1,0,1,2,0,1,1,0,0,2,0,1,2,0,1,1,0,1,0,2,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,2,0,0 0,0,0,1,0,0,0,1,1,0,2,0,0,0,1,1,0,1,0,0,0,1,1,1,1,0,1,2,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,2,0,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,2,0,2,2,1,1,0,2,0,0,0,0,2,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,2,0,0,0,0,1,1,2,0,1,1,1,0,0,1,2,1,0,0,0,0,0,0,2,1,1,0,0,1,0,1,0,1,0,2,1,1,0,0,1,0,1,0,1,1,0,2,1,1,1,1,0,0,1,0,0,0,1,2,1,2,1,0,0,1,0,0,0,1,0,0,0,0,0,1,2,0,2,1,0,1,0,1,0,1,2,0,1,1,1,0,2,0,1,0,1,0,0,0,1,0,0,1,0,1,2,1,0,0,1,1,1,2,0,0,1,0,1,1,1,0,2,0,1,1,0,0,0,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,2,1,0,0,0,0,0,0,0,0,1,1,2,1,0,0,1,0,1,1,0,2,2,0,0,1,0,0,0,2,1,1,0,2,2,0,2,0,1,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,1,1,1,0,0,0,0,0,2,2,0,0,1,1,0,2,0,0,1,0,2,1,0,0,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0,2,0,0,0,1,2,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,2,0,0,1,1,0,1,0,2,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,1,1,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,2,0,2,0,0,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0,2,0,0,0,0,0,1,1,1,2,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,2,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,1,0,1,2,1,0,0,0,1,0,0,2,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,1,1,1,2,0,2,1,1,0,1,1,0,0,1,0,0,0,0,1,1,0,2,0,1,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,1,2,0,0,2,0,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,2,1,2,0,0,0,1,0,0,1,1,1,1,1,0,0,0,1,0,1,2,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,2,0,0,0,1,0,2,1,0,1,0,1,0,2,0,0,0,0,0,0,0,1,1,0,0,1,0,0,2,0,0,1,0,1,1,1,0,2,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,1,1,2,1,0,1,0,2,0,2,0,0,2,2,0,1,1,1,1,2,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,1,1,0,1,1,1,0,0,0,2,0,2,1,1,1,0,0,1,1,2,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,2,1,1,0,0,1,0,0,0,2,0,1,1,0,0,1,0,1,0,0,0,0,2,0,0,1,1,0,1,0,2,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,2,1,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,2,1,2,1,0,0,2,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0 0,0,0,1,1,0,0,2,1,0,0,0,1,1,2,0,1,0,0,0,0,0,0,0,2,1,1,1,1,1,1,0,1,1,2,0,1,2,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,2,0,2,0,0,0,0,0,1,0,1,2,0,2,0,0,2,1,0,1,1,0,0,0,0,1,2,1,0,0,0,2,1,1,0,1,0,0,2,1,0,2,0,0,1,0,1,2,2,0,0,0,1,0,2,0,1,1,0,0,0,1,2,1,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,1,1,0,0,0,1,1,0,2,0,0,1,0,1,0,0,0,1,2,1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,1,1,0,0,0,2,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,2,0,1,1,1,0,1,1,0,1,0,1,0,2,0,1,0,0,0,1,1,1,1,0,1,0,0,0,0,1,2,0,0,1,0,2,2,1,0,0,0,1,1,1,2,1,0,0,0,1,0,2,0,0,0,0,1,0,0,1,0,0,0,1,1,1,1,1,1,1,1,1,0,1,0,1,2,0,1,0,0,1,0,1,2,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,2,0,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,2,0,1,1,1,0,1,2,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,2,0,1,0,1,0,0,1,0,0,1,1,0,0,0,1,1,1,0,1,2,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,2,0,0,2,0,0,2,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,2,1,1,0,0,1,0,0,1,2,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,2,0,0,1,0,1,0,0,0,1,0,0,2,0,0,0,0,0,0,1,2,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,2,1,1,2,0,1,0,0,0,0,1,1,2,0,0,2,1,0,0,0,1,1,0,1,1,1,0,1,2,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,2,0,0,0,0,1,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,2,1,0,0,0,0,1,0,2,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,1,0,1,0,2,0,0,0,1,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,2,1,0,1,2,1,0,0,1,0,0,2,2,0,2,0,0,1,1,0,0,0,1,0,1,0,0,2,0,0,1,2,1,0,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,1,2,0,2,0,0,0,1,2,1,0,0,0,0,0,2,1,1,1,1,1,1,1,1,1,0,1,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,2,1,0,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,1,1,2,1,0,1,1,0,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,2,1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,2,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,2,0,0,1,2,0,0,2,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,2,0,0,1,0,0,0,0,0,0,0,0,0,2,1,1,2,0,0,0,1,1,0,1,0,0,1,0,0,0,2,0,0,1,1,0 1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,1,1,2,1,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,2,0,0,2,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,2,1,1,1,0,1,1,0,0,0,1,0,0,1,1,2,0,0,2,1,1,0,1,0,0,1,0,0,2,0,1,1,0,2,2,1,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0,1,1,1,2,1,1,0,0,0,0,2,0,1,1,0,0,0,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,2,0,1,0,2,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,2,1,0,1,0,2,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,0,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,2,1,0,0,2,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,2,0,0,2,0,1,1,0,0,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,2,2,0,0,0,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0,2,0,0,0,2,2,0,2,2,1,0,0,1,0,1,0,0,2,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,2,0,0,0,1,0,1,1,0,1,1,2,1,2,0,0,0,0,1,0,1,1,0,0,1,0,0,2,0,1,0,0,1,0,1,1,1,1,2,0,1,1,1,1,1,2,1,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,2,0,0,1,2,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,1,2,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,2,1,0,0,0,0,1,2,1,1,0,1,0,0,0,2,0,0,0,0,0,0,1,1,0,2,0,0,1,0,1,1,0,0,1,1,2,2,0,0,1,0,2,1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,2,0,0,0,0,0,0,0,1,1,0,1,0,1,1,0,1,2,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,2,0,1,0,0,0,0,1,2,0,0,0,1,1,0,2,1,0,0,0,0,0,0,2,0,2,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,1,0,1,1,0,1,0,2,0,1,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,2,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,1,0,1,1,0,0,0,1,1,0,2,2,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,2,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0,2,1,0,0,2,0,0,2,1,1,2,1,1,0,0,2,0,0,0,0,0,0,0,2,1,1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,0,0,0,1,2,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,2,2,0,0,1,1,0,1,2,0,0,0,0,1,1,0,0,2,1,0,1,0,0,0,0,2,1,1,1,0 0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,1,2,0,0,1,1,2,0,0,2,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,2,0,1,1,1,0,1,0,0,1,0,1,1,2,0,1,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,2,0,2,1,2,1,0,0,2,0,0,0,0,0,2,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,1,1,1,1,0,1,1,1,1,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,2,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,2,1,1,2,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,2,0,1,0,1,1,0,1,2,1,1,0,1,0,0,0,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0,1,2,0,1,1,1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0,2,0,0,0,0,2,0,1,0,0,0,0,0,2,1,0,1,2,0,1,0,1,1,1,0,1,0,1,1,0,2,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,1,2,0,0,1,0,0,0,1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,2,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,1,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,0,1,1,1,0,0,1,1,0,2,0,0,0,1,0,1,0,0,0,2,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,0,0,2,1,2,1,2,1,2,0,1,0,1,0,0,0,1,1,0,2,0,0,1,0,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,1,1,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,2,0,1,0,2,1,0,2,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,2,1,0,0,0,2,1,1,1,0,2,0,2,0,2,0,0,0,0,1,0,1,2,0,1,1,0,1,0,2,0,0,0,1,0,1,0,2,0,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,2,0,0,1,1,0,0,1,1,0,2,2,1,0,0,2,0,2,0,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,2,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,2,1,0,0,1,1,1,0,1,0,1,2,0,0,0,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,2,0,2,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,1,1,1,1,0,2,0,0,2,0,1,1,0,0,0,0,2,1,0,0,2,1,1,0,2,2,2,0,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,1,0,0,0,2,2,1,0,2,0,0,2,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,2,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,2,0,0,1,0,0,1,0,1,0,2,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,2,0,0,0 2,0,1,1,0,1,1,1,1,0,1,0,0,1,2,1,1,0,1,0,0,0,0,0,0,0,2,2,0,0,0,0,0,2,1,0,2,0,0,0,1,2,0,2,0,0,0,0,0,2,1,0,0,0,2,0,1,0,0,1,0,0,0,1,0,1,0,1,1,0,1,0,1,0,0,1,2,1,1,0,1,0,0,0,2,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,2,0,0,0,2,1,0,0,1,0,0,1,1,0,0,0,1,0,0,2,2,1,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,2,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,2,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,2,0,2,2,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,2,1,1,1,1,0,1,1,0,1,1,0,1,2,1,2,0,0,0,0,0,0,0,0,1,0,2,1,1,0,1,0,1,0,0,0,0,0,0,0,1,2,0,0,0,1,0,0,1,1,0,0,0,1,1,1,0,1,1,0,0,1,2,1,1,1,0,0,0,2,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,2,1,0,0,0,1,0,0,1,1,0,0,0,1,2,2,0,2,0,0,0,0,0,0,0,0,1,0,0,2,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,2,1,0,2,1,0,0,2,0,0,0,0,0,1,2,1,1,0,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,2,2,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,2,1,2,1,1,0,0,1,2,0,0,0,0,1,1,0,0,0,1,1,2,0,1,1,1,1,0,0,2,0,0,0,0,0,1,1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,1,1,2,1,1,0,0,2,0,1,0,2,0,2,2,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,2,0,1,1,1,1,2,0,1,0,0,1,0,1,0,0,0,0,0,2,0,0,1,0,2,0,0,0,0,1,1,0,1,0,0,0,1,0,0,2,0,1,0,0,1,0,1,1,0,0,2,1,1,0,0,1,1,1,2,0,1,1,0,1,0,2,1,0,2,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,1,1,1,1,1,1,0,2,0,0,1,1,1,0,1,1,1,1,0,0,1,0,2,0,1,0,1,1,2,1,0,1,1,1,1,0,0,0,1,1,1,0,2,0,2,1,0,0,2,1,2,2,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,1,1,0,1,0,2,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,2,0,0,0,0,1,1,0,1,2,0,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,2,0,0,0,0,1,1,1,1,2,2,1,0,1,0,1,0,1,0,1,2,0,0,0,1,0,2,0,0,0,2,1,1,1,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,1,0,1,2,2,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,1,2,1,1,1,0,0,1,0,0,1,1,0,2,1,0,0,1,0,1,0,0,1,0,1,0,0,0,2,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,2,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0,1,1,2,0,0,2,0,1,0,0,0,1,0,1,0,0,2,0,0,2,0,0,1,0,0,0,1,0,1,0,0,0,0,2,0,0,0,0 0,0,2,1,0,0,0,1,0,2,1,2,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,2,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,2,0,1,0,0,1,0,0,0,1,0,0,1,0,1,2,0,0,0,1,1,0,0,2,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,2,0,0,2,1,0,0,0,0,1,1,0,1,1,0,0,2,0,0,0,2,0,1,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,2,2,1,0,0,1,0,1,2,2,0,1,0,0,0,1,1,0,1,1,1,1,1,1,1,0,2,1,2,0,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,2,0,0,1,0,1,0,2,2,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,2,0,1,0,0,2,2,0,0,1,1,1,2,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,1,1,2,0,0,0,0,0,0,1,2,1,0,0,0,0,1,1,2,1,2,0,0,2,1,0,0,1,0,0,1,1,0,2,1,1,0,1,1,0,1,0,2,0,0,2,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,2,1,2,0,0,0,0,2,2,1,1,0,0,0,0,1,0,2,0,1,0,0,1,1,0,1,0,0,1,2,1,0,1,0,0,1,0,1,0,0,0,0,0,2,1,0,1,0,1,0,2,2,0,0,1,0,0,1,0,0,0,0,2,1,0,0,1,0,0,0,2,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,2,0,2,0,1,2,1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,2,1,1,1,0,1,1,0,2,1,1,0,0,0,0,0,0,0,0,2,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,1,1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,2,2,1,1,0,0,1,1,1,2,1,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,1,1,0,1,0,1,0,1,1,0,1,0,0,1,1,2,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,1,2,1,1,1,1,2,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,2,0,0,1,0,1,0,1,0,1,0,0,0,1,1,1,1,2,0,0,0,0,0,1,0,1,1,0,1,0,0,0,2,1,1,0,2,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,2,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0,0,2,0,0,1,0,1,0,1,2,1,1,1,2,1,0,0,0,0,0,0,0,0,2,2,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,1,2,1,0,0,1,0,0,1,0,2,2,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,2,1,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,2,0,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,2,1,0,2,1,0,0,1,0,0,0,0,0,0,0,1,2,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0 1,0,1,2,0,1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,2,0,0,2,0,0,0,0,0,1,0,0,2,1,0,0,2,1,0,0,2,1,0,0,0,0,1,0,0,0,1,0,2,2,2,1,1,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,2,2,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0,0,2,0,1,2,0,0,0,0,0,1,2,0,0,0,0,1,2,2,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1,1,2,0,0,1,0,0,0,1,0,0,2,1,0,1,1,1,0,0,0,0,1,0,2,2,1,2,1,0,1,0,0,1,0,0,0,0,0,0,2,1,0,2,0,0,2,1,1,1,0,0,2,1,0,1,1,0,1,2,0,0,0,0,1,0,0,1,1,0,1,2,0,2,0,0,0,1,1,0,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,2,1,0,0,1,0,1,0,2,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,2,0,0,0,1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,2,0,0,0,1,2,0,0,1,0,0,1,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,1,0,1,2,0,0,1,0,2,0,0,0,0,2,2,0,0,0,1,0,1,2,2,0,0,0,2,1,0,1,2,1,0,1,0,0,0,2,1,0,0,0,2,0,1,0,0,0,2,1,2,1,0,1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,2,0,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,2,0,0,0,1,1,2,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,1,0,1,2,0,1,0,0,0,2,2,0,1,0,2,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,2,0,1,2,0,0,1,0,1,0,0,1,1,2,2,1,0,0,1,2,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,2,0,0,0,0,2,1,0,0,0,0,0,1,0,0,0,0,1,0,2,0,1,0,0,0,1,0,2,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0,1,2,0,2,1,1,0,2,0,1,1,1,1,0,1,0,1,0,0,2,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,2,0,1,2,0,0,0,0,0,2,1,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,1,2,0,0,1,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,1,1,1,0,0,0,1,1,0,1,1,2,0,1,1,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,2,2,0,0,0,0,0,0,1,1,0,1,0,1,1,0,0,1,0,2,0,0,0,1,0,0,1,0,1,1,0,0,1,0,2,0,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,1,1,1,0,2,0,2,0,2,1,1,1,0,1,1,0,2,1,1,0,0,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,2,2,0,0,0,1,0,1,2,0,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,0,2,0,0,2,0,1,0,0,1,2,2,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0 0,0,2,1,1,0,0,2,0,0,1,0,1,1,1,1,1,0,0,0,0,1,1,1,1,0,1,2,0,0,1,0,1,1,0,0,2,1,1,0,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,1,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0,2,0,0,0,1,1,2,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,2,0,0,0,2,0,0,0,0,1,2,0,2,1,2,0,0,1,1,0,0,0,1,1,0,1,1,0,2,2,0,1,2,0,0,1,0,0,2,2,0,0,1,0,0,1,1,1,1,2,1,0,0,0,1,2,1,0,1,1,0,0,0,0,2,0,1,0,1,1,1,0,0,2,1,1,1,2,0,1,0,2,0,1,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0,1,1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,2,0,1,0,2,1,1,0,0,1,0,0,0,0,0,0,2,1,0,1,1,0,2,0,0,1,0,0,2,0,0,0,1,1,1,1,0,0,1,1,1,2,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0,2,0,0,0,0,1,0,1,1,2,0,1,1,0,1,0,0,0,2,2,1,0,2,2,0,1,1,0,1,0,2,0,1,0,0,2,0,1,0,1,0,0,0,0,0,2,2,0,0,0,0,0,1,1,0,0,0,0,2,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,2,2,1,0,1,0,0,1,0,1,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,1,1,0,0,1,1,0,0,1,1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,1,0,1,0,2,1,1,1,0,2,0,0,0,2,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0,2,0,0,1,0,2,0,0,0,0,1,0,0,1,0,2,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,2,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,2,0,0,0,1,1,1,0,0,1,1,0,2,1,0,2,0,0,2,2,0,0,0,0,1,0,1,1,0,1,1,0,2,2,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,2,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,2,0,0,2,1,0,1,0,0,1,0,0,2,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,2,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,1,1,0,2,0,1,2,1,0,1,0,1,1,2,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,2,0,0,1,0,0,1,0,1,2,1,0,0,0,2,2,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,1,2,0,0,0,0,0,0,2,1,0,1,0,1,0,0,0,2,1,1,2,1,2,1,1,1,0,0,0,2,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,1,1,0,0,1,0,1,1,0,0,2,0,0,0,0,0,1,1,0,2,0,1,1,1,0,0,0,0,1,1,1,0,1,0,2,2,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,2,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,2,0,0,0,0,0,0,0,1,0,0,2,1,1,0,0,0,0,2,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0 0,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,2,1,0,1,0,0,1,1,0,1,0,0,0,0,2,0,2,1,1,0,0,1,1,1,0,0,0,2,0,2,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0,2,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,2,0,0,0,1,0,1,0,1,1,0,2,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,1,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,1,0,1,2,0,0,1,1,0,0,0,2,0,2,1,0,0,1,0,0,0,0,2,0,0,0,0,2,2,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,1,0,1,0,2,0,0,0,0,0,0,0,2,1,0,0,0,0,1,1,0,0,1,2,0,0,2,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,2,1,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,1,0,2,2,1,0,0,0,1,1,1,1,1,2,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,2,1,1,0,0,1,1,0,1,0,1,1,0,0,2,0,0,2,1,1,0,2,1,1,0,0,0,1,2,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,2,1,1,1,0,0,0,1,1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,2,0,1,1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,2,0,1,1,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,0,0,0,1,0,0,0,2,1,0,0,2,0,1,0,0,1,0,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,2,1,1,0,1,0,0,2,0,0,1,1,0,1,0,0,2,1,1,1,0,0,1,0,1,2,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,1,2,0,1,0,2,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,2,2,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,1,1,0,0,2,0,0,1,0,1,0,0,0,1,0,1,0,1,0,2,0,0,2,0,0,2,0,1,0,1,0,0,0,1,0,0,0,0,0,0,2,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,1,2,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,1,1,0,2,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,1,2,0,0,0,0,0,1,0,0,1,2,0,1,0,0,0,1,1,1,0,0,1,0,0,2,1,0,0,1,0,0,1,0,1,1,0,2,1,0,1,0,1,0,1,0,1,2,1,1,2,1,2,0,0,1,0,0,0,0,0,1,1,0,2,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,2,0,0,1,2,0,0,1,0,0,1,0,1,0,0,0,0,1,2,1,2,1,2,0,0,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,2,0,1,1,0,2,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,2,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,1,1,1,1,0 1,0,1,0,1,1,0,0,0,1,2,0,0,0,0,0,0,2,0,0,0,0,0,2,1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,1,0,0,1,0,2,0,1,1,1,1,2,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,2,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,1,2,2,0,0,2,0,0,0,0,0,1,0,0,2,1,1,0,0,0,0,2,0,2,0,1,0,1,1,1,0,0,0,0,0,0,0,2,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,2,0,0,0,2,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,2,2,0,1,0,2,1,2,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,2,0,0,2,2,1,1,0,0,1,1,1,1,0,1,0,1,1,1,1,2,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,2,0,1,0,2,0,0,0,2,0,1,0,1,0,0,0,1,0,1,1,0,1,0,2,0,1,0,0,0,1,1,0,2,0,0,0,1,1,0,1,0,1,0,0,1,2,0,0,0,1,0,2,0,0,2,0,1,0,1,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0,1,1,2,0,0,1,1,0,1,1,0,2,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,2,1,0,2,0,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,1,2,0,0,0,1,1,1,0,1,0,1,1,1,0,0,1,0,2,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,2,2,0,2,0,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,2,1,0,1,1,1,0,0,0,0,0,0,2,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,2,0,0,0,0,0,2,0,1,0,0,0,1,1,2,2,1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,2,2,1,1,1,0,0,2,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,1,1,0,0,2,0,1,1,0,1,0,2,0,0,0,0,1,0,1,0,2,1,0,0,1,0,1,1,0,0,1,2,1,0,2,2,2,0,1,1,1,1,0,0,0,1,0,0,0,0,0,2,0,2,1,0,2,2,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,2,1,0,1,0,0,0,1,2,0,1,0,1,1,0,2,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,2,1,0,1,0,1,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,2,0,2,1,1,1,0,0,1,0,1,0,1,2,2,2,1,1,2,0,1,0,2,0,0,0,1,2,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,2,1,1,1,0,0,0,0,0,1,2,0,0,0,1,0,0,2,2,0,0,1,1,0,0,2,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0,2,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,2,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0,1,1,2,0,0,1,0,1,1,0,1,0,0,2,1,0,0,0 1,0,0,0,1,0,1,0,0,0,0,0,2,1,0,0,0,2,0,0,0,0,1,2,0,0,1,0,0,0,1,0,0,0,1,0,1,2,0,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,0,2,1,0,1,0,1,1,1,1,1,1,0,0,0,0,1,0,1,1,2,0,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,2,2,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,2,0,1,0,1,2,0,0,2,0,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,2,2,0,1,0,1,0,0,0,0,0,0,0,0,1,0,2,1,2,0,0,0,0,1,1,2,1,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,2,2,0,1,0,1,1,1,0,2,1,0,0,0,2,1,0,0,2,0,0,2,0,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,1,0,1,0,0,0,0,1,1,2,0,2,0,0,0,2,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,1,1,0,2,0,2,2,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,0,1,2,2,0,0,2,0,1,0,1,1,0,0,0,0,0,1,0,0,1,2,0,0,1,0,1,0,0,2,1,1,1,0,0,1,0,0,0,0,1,0,1,0,1,1,2,1,0,0,2,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,2,2,1,2,2,1,0,0,0,1,0,2,0,0,0,1,0,2,0,1,0,0,1,0,1,0,0,1,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,1,0,1,1,0,2,0,0,1,2,0,0,0,1,1,1,1,0,1,1,1,0,0,0,0,2,1,0,0,0,1,0,1,0,0,1,0,0,1,2,0,0,0,0,0,0,0,0,2,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,2,2,2,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,2,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,1,2,1,0,0,0,0,0,0,0,0,2,2,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,2,0,0,1,1,1,1,0,0,1,0,0,0,0,0,2,1,0,1,0,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,2,1,0,0,2,0,0,2,2,0,0,0,0,1,0,0,0,2,0,1,0,2,0,1,0,1,0,2,2,0,1,1,0,0,0,1,1,2,0,0,0,1,1,0,2,0,0,1,1,0,0,2,2,1,1,1,0,0,0,0,1,2,2,1,1,0,0,1,0,2,2,0,0,1,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,2,0,0,0,1,1,1,1,1,0,0,2,1,0,1,0,1,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,2,2,0,2,0,1,1,1,1,0,0,0,1,1,2,1,1,1,1,1,1,0,1,0,1,1,1,2,2,0,1,0,0,1,1,0,0,0,0,0,1,0,2,1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,2,1,0,0,0,1,0,0,1,0,0,0,0,1,1,1,1,0,0,0,2,1,1,1,1,0,0,2,1,1,1,1,1,2,0,1,0,0,0,0,0,0,0,1,2,0,0,1,0,1,0,0,1,0,2,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,2,2,1,0,1,0,0,1,0,2,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,1,0,0,0 1,0,0,0,1,0,0,2,1,0,1,1,0,1,2,0,0,1,0,0,0,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0,1,2,0,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,2,2,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1,1,0,2,0,1,0,0,0,1,0,0,0,0,2,1,2,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,2,1,0,2,1,0,2,1,0,0,0,2,1,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,2,0,1,0,0,0,0,1,0,0,2,0,0,2,1,0,0,2,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0,2,1,0,0,0,0,0,0,1,2,1,0,2,0,2,1,1,1,0,2,2,2,0,0,0,1,0,0,0,0,0,1,1,1,0,0,2,1,1,1,1,2,0,0,1,1,1,1,2,1,0,1,0,0,0,0,1,1,0,0,0,1,1,1,1,0,1,0,2,0,1,1,0,0,1,0,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,2,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,2,1,1,0,1,0,1,0,0,1,0,0,2,0,1,0,0,2,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,2,1,0,1,1,0,2,0,0,1,1,0,0,0,1,1,0,0,1,0,2,0,1,0,1,0,0,0,0,0,1,0,0,2,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,2,0,0,0,0,1,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,1,1,0,2,0,0,0,1,2,1,0,0,0,0,0,0,1,1,0,0,2,0,0,1,0,1,0,0,0,0,2,1,1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,2,1,2,2,1,0,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,2,0,0,1,1,2,0,0,1,0,0,0,0,2,1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,1,0,2,0,0,1,0,1,0,2,0,1,1,0,0,0,1,0,2,2,0,0,0,1,1,1,0,0,0,2,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,2,0,1,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,2,0,1,0,0,0,0,0,0,1,0,0,1,0,2,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0,2,1,1,0,1,2,0,0,1,0,1,0,1,0,0,0,0,2,0,0,0,1,0,2,0,0,0,0,0,1,2,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,0,2,0,1,1,2,0,1,0,0,0,0,1,0,0,1,1,0,1,2,1,0,0,1,0,1,0,1,1,1,0,1,2,0,1,1,0,0,0,1,1,0,0,1,0,0,2,1,1,0,1,0,0,1,0,2,1,1,1,0,0,0,1,1,1,1,1,0,0,1,2,1,0,0,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,2,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0 0,1,0,1,0,0,0,0,1,2,2,0,0,1,0,0,0,2,0,0,0,0,0,0,2,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,2,0,1,1,2,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,2,2,2,0,0,0,2,0,1,0,1,1,1,0,0,0,2,1,0,0,0,1,0,0,1,0,0,0,0,0,2,2,0,1,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,1,2,1,0,0,0,0,0,1,1,0,0,0,1,0,1,1,1,0,1,1,2,0,1,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,1,1,1,1,0,2,0,2,0,0,1,0,0,1,0,0,0,0,2,0,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,2,0,0,1,1,2,0,1,0,0,2,0,0,2,1,0,2,2,0,0,1,2,1,0,0,0,1,1,0,2,0,0,0,0,1,1,1,0,2,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0,2,0,1,1,1,0,0,2,0,0,1,1,0,1,2,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,2,0,0,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0,2,1,0,0,0,0,2,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,2,2,2,0,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,2,1,0,0,0,0,1,2,0,0,1,1,1,1,0,0,1,0,1,0,1,0,1,2,1,1,0,0,0,2,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,0,2,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,2,0,2,1,0,0,0,0,0,0,1,1,2,2,0,0,0,1,1,1,1,0,1,0,2,0,0,0,1,1,1,0,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,2,1,0,1,0,1,0,0,1,0,0,0,0,1,2,0,2,0,1,1,2,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,1,0,0,1,1,1,2,0,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,2,0,1,0,0,1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,1,1,0,2,0,1,0,1,0,1,0,0,0,1,0,2,1,2,1,1,1,0,0,0,1,0,0,1,1,0,1,0,1,2,0,1,2,2,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,2,0,1,0,1,1,1,1,1,0,2,0,1,0,0,0,1,0,0,2,0,0,0,1,1,1,0,2,0,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,2,1,1,0,1,0,0,0,0,1,1,0,0,2,0,1,0,0,1,2,0,2,0,0,1,2,0,0,1,0,1,2,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,0,2,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,2,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,0,1,1,0,2,1,0,0,2,0,0,0,0,1,0,0,1,1,2,0,1,1,0,1,2,2,0,0,0,0,1,1,1,1,0,0,1,0,0,1,0,0,2,0,0,2,1,0,1,0,0,0,0,0,0,2,1,1,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0,2,0,0,1,0,0,0 1,0,1,1,1,1,0,0,1,1,0,1,0,1,1,2,0,0,1,0,0,0,1,0,1,1,2,1,0,1,2,0,1,0,0,0,1,0,0,0,2,1,0,1,1,0,1,2,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,1,0,1,0,0,1,1,2,1,2,0,1,2,0,0,1,2,0,2,1,1,0,0,0,1,0,1,0,0,1,2,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,0,0,2,1,0,0,0,1,1,0,1,1,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0,2,0,1,0,0,1,0,2,1,2,1,2,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,2,0,1,0,0,0,1,0,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,2,1,0,1,1,0,1,0,0,2,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,0,2,1,1,1,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,1,1,0,2,0,0,0,1,0,0,2,0,0,1,0,1,1,1,1,2,1,0,2,1,1,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,2,1,1,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,2,0,1,2,0,1,2,0,1,0,1,2,1,0,2,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,2,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0,2,0,0,1,1,0,0,1,1,0,2,0,0,0,0,0,2,0,1,0,0,1,0,1,0,0,0,2,0,0,1,1,0,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,2,0,1,0,0,1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0,2,2,0,1,0,0,1,1,0,1,1,0,2,0,0,2,0,0,2,0,0,1,0,0,0,1,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,1,0,0,2,0,0,0,0,1,0,0,2,2,0,0,2,1,1,0,1,1,0,0,2,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,2,1,0,1,1,2,0,1,2,2,0,1,0,0,1,0,0,1,0,1,0,1,0,1,1,2,0,1,1,0,0,1,0,2,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,2,1,1,0,0,0,1,0,0,1,1,0,2,0,1,1,0,0,1,0,2,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,2,1,1,2,1,0,0,0,0,0,1,2,1,0,0,1,0,0,1,2,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,2,2,2,0,2,0,0,1,0,1,0,0,0,0,0,1,2,0,0,1,0,1,1,2,1,0,0,1,0,0,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,2,0,0,0,1,0,1,1,2,1,2,0,0,2,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,2,2,2,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,1,0,0,1,1,2,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0 1,0,1,1,1,2,0,0,0,1,0,2,0,1,0,0,0,1,0,0,0,1,1,0,1,1,1,0,1,1,0,1,1,0,2,0,2,0,0,0,0,1,0,1,0,1,0,1,1,0,2,1,0,0,2,0,0,1,2,0,0,0,2,0,0,0,0,0,1,0,2,0,1,1,1,0,1,2,0,0,0,0,0,0,0,2,1,0,2,0,0,2,0,0,0,1,1,0,0,0,0,1,1,0,0,2,0,0,1,1,0,1,0,1,2,1,1,1,1,0,0,0,1,1,1,0,0,1,1,1,2,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,1,0,0,1,2,2,1,0,1,0,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,2,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,2,0,1,1,0,1,0,2,0,1,1,1,2,0,1,0,1,1,1,0,0,2,1,0,0,1,0,2,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0,2,0,0,0,0,1,0,2,1,0,0,0,1,0,0,1,0,0,1,1,1,1,1,1,1,1,0,1,0,0,1,0,1,1,1,2,0,0,0,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,1,1,0,1,2,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,0,1,0,2,0,2,0,1,1,0,1,1,0,0,2,0,0,0,0,1,0,1,1,1,1,1,0,1,0,0,1,0,1,0,0,1,1,1,1,0,1,1,0,1,1,2,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,2,1,0,2,1,1,1,0,1,0,2,0,1,0,1,1,1,2,0,0,2,1,0,1,0,0,2,0,0,0,0,1,1,0,1,2,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,2,1,0,1,0,2,1,0,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,1,0,2,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,2,2,2,0,0,1,1,0,2,0,0,1,0,1,0,2,0,0,0,1,0,0,0,2,0,1,1,2,0,0,2,0,1,1,0,2,0,1,1,0,1,0,1,0,2,1,1,1,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,2,0,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,2,1,1,0,0,0,2,1,2,0,1,0,0,1,0,0,1,0,2,1,0,0,1,0,0,0,1,1,0,0,0,2,1,0,0,1,0,0,0,1,2,0,1,0,0,2,0,1,1,2,0,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,2,1,0,0,0,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,2,1,1,1,0,0,2,0,0,0,1,0,0,0,0,2,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,1,0,1,1,0,1,0,0,0,0,0,1,0,2,1,1,2,1,0,0,1,2,0,0,0,0,0,0,0,1,0,2,1,1,2,0,0,1,0,0,1,0,0,1,1,1,1,0,2,1,0,1,2,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,2,1,0,2,0,0,1,1,0,0,0,0,0,1,2,1,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0 1,0,0,0,1,0,1,0,0,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,2,2,1,2,0,0,1,1,0,1,2,0,0,1,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,2,1,0,0,1,0,2,0,0,0,2,1,0,0,0,0,0,1,1,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,2,2,1,0,0,0,1,1,0,0,1,2,2,0,0,1,1,1,2,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,1,2,0,0,1,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,2,1,0,2,1,1,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,2,0,1,0,1,2,0,0,0,0,0,0,2,0,1,1,1,1,1,1,0,0,1,1,0,2,0,1,2,0,0,0,1,0,0,0,1,0,1,0,1,0,2,1,0,2,1,0,1,0,1,2,0,0,0,0,2,2,1,0,0,2,1,0,1,1,0,0,2,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,2,0,1,1,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,1,0,2,2,2,1,0,0,1,0,1,0,0,0,0,1,2,2,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,2,0,1,0,0,0,0,1,1,0,1,0,1,2,0,0,0,0,1,2,2,0,1,1,2,1,0,0,0,1,0,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,2,0,0,0,0,1,1,0,0,0,1,1,1,2,1,1,0,0,0,0,1,1,1,0,0,1,0,1,2,0,0,2,0,0,2,1,0,1,0,0,0,1,2,1,0,2,0,0,0,0,0,0,0,1,0,0,2,0,2,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,2,0,0,1,1,2,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,2,0,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0,1,2,0,1,1,0,0,0,2,2,0,2,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0,0,2,1,0,0,1,1,0,0,0,0,2,0,1,1,0,0,1,0,1,1,2,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,0,0,0,2,1,1,1,0,2,1,0,1,1,0,0,1,0,1,0,0,1,0,2,1,1,0,2,1,1,2,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,2,2,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,1,2,0,2,0,1,0,1,2,0,0,2,0,1,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,2,1,1,0,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,2,0,0,0,2,0,0,0,0,0,0,2,0,2,0,1,1,2,1,0,0,1,1,0,0,0,0,1,1,1,0,0,1,0,1,1,0,2,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,1,2,1,2,1,0,1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,2,0,0,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,2,1,2,2,0,0,0,1,0,1,0,0,0,0,1,0,1,2,2,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0 1,0,1,0,0,0,0,0,1,1,1,0,0,2,2,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0,1,2,0,2,2,0,0,0,0,0,1,1,0,2,0,2,1,0,1,0,0,2,0,2,0,1,0,0,2,0,0,0,0,0,0,0,0,2,1,0,2,1,0,0,1,1,2,0,0,0,1,0,0,0,0,1,1,1,1,0,1,0,0,1,1,2,0,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,2,1,0,0,0,0,1,1,0,0,0,1,1,1,0,1,1,0,1,0,0,1,2,2,0,0,0,1,1,0,0,0,0,1,1,1,2,1,0,2,0,0,0,1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,2,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,2,2,0,0,1,1,0,0,0,0,0,1,1,1,1,0,0,0,1,1,1,1,0,2,1,0,0,0,0,0,1,0,0,1,0,2,1,0,2,1,0,0,0,1,1,0,2,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,2,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,1,1,1,0,1,1,1,1,1,1,1,0,0,1,1,1,2,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,2,0,2,0,0,0,1,1,0,1,1,0,0,1,2,1,1,1,0,2,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,1,0,1,1,2,0,0,1,0,1,1,0,0,0,0,0,0,0,2,0,1,0,2,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,1,1,0,0,0,2,0,1,2,0,0,0,1,1,0,0,1,0,0,0,1,2,0,0,1,2,0,0,0,0,2,2,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,1,1,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0,2,2,1,0,0,2,0,1,1,1,1,1,0,1,1,1,1,1,0,0,1,1,1,2,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,1,0,0,2,0,0,0,1,1,0,0,1,0,0,0,2,0,1,0,0,1,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,1,1,1,1,1,1,2,0,0,0,2,1,0,2,2,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,1,2,0,0,1,2,0,0,1,0,1,0,0,1,1,0,0,0,1,1,1,1,1,0,0,0,2,0,0,0,2,1,2,1,1,1,0,2,0,1,0,1,1,0,1,0,0,2,0,0,0,2,1,0,1,1,0,0,2,0,1,1,0,1,0,0,0,1,0,0,0,2,1,0,1,0,0,0,2,0,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,2,1,0,1,0,0,0,1,0,2,2,1,1,0,1,1,0,0,1,0,0,0,0,1,0,2,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,1,0,0,2,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,2,1,0,0,0,0,1,0,0,0,0,1,2,0,0,1,1,0,0,0,0,2,1,1,1,1,0,0,1,1,0,0,2,1,1,0,0,0,2,1,0,0,0,1,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,2,0,0,0,1,0,0,2,1,0,1,0,1,1,0,0,0,2,0,0,0,1,0,1,1,1,0,0,0,0,0,0,2,1,0,0,0 2,0,1,1,1,0,0,1,1,2,0,0,0,0,0,0,0,1,1,0,0,0,1,0,2,1,1,1,0,0,1,0,1,1,0,1,2,1,1,0,2,2,0,0,0,1,0,0,0,0,1,0,0,0,2,0,1,0,1,2,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,2,0,0,0,0,0,0,1,2,1,1,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,2,1,1,1,0,2,0,0,0,1,0,0,0,0,1,1,1,1,2,0,1,1,1,2,1,0,1,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,2,0,1,2,0,0,0,0,1,0,1,0,2,2,0,0,1,0,2,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,2,1,0,0,2,1,0,1,0,0,1,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,1,1,0,0,0,2,0,0,1,1,2,0,0,1,1,2,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,1,1,1,2,0,0,2,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,2,0,0,1,0,0,1,0,0,0,1,0,1,2,0,1,0,0,1,0,1,1,1,0,2,0,2,1,0,2,0,1,1,1,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,2,0,0,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,2,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,1,1,0,2,1,0,0,0,0,0,1,0,1,2,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,1,1,1,1,0,2,0,0,0,0,0,0,0,2,0,0,1,1,1,0,2,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0,2,1,0,1,0,0,0,2,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,0,1,1,0,1,0,2,0,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0,2,0,0,0,0,0,1,0,2,0,2,0,0,1,1,0,1,1,0,0,0,2,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0,2,0,0,0,0,1,1,2,1,1,0,2,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,2,0,1,0,0,0,0,0,2,1,0,1,0,1,1,0,0,0,0,0,0,2,1,0,1,0,1,0,0,0,0,0,1,2,0,1,0,0,0,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,2,2,0,2,0,1,2,0,0,1,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,1,1,1,1,0,0,1,0,2,0,1,0,0,0,0,1,2,1,0,0,2,1,1,0,0,0,0,2,1,1,1,2,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,2,0,1,1,0,0,0,0,0,0,0,0,0,0,2,1,1,1,1,1,1,0,2,0,0,1,0,1,2,1,0,1,1,0,0,0,2,0,0,2,0,2,1,1,2,0,0,0,0,1,1,0,2,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,2,1,2,1,0,2,1,0,0,2,0,2,0,0,1,0,0,1,0,0,1,0,1,1,1,2,2,0,0,0,0,0,1,1,0,2,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,1,1,0,2,1,0,0,0,0,0,1,0,1,2,0,0,0 1,0,1,1,0,0,0,0,1,1,1,1,0,1,0,1,1,2,2,0,0,1,1,1,1,2,1,1,0,1,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0,2,0,1,0,0,0,1,1,0,0,0,1,1,1,2,0,2,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,2,1,0,2,0,0,1,1,2,2,0,0,0,0,0,0,1,0,2,0,0,0,1,1,2,0,1,0,1,0,0,0,2,2,0,1,1,2,1,1,0,0,0,2,1,0,0,1,0,2,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,2,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,2,1,0,0,1,0,1,2,2,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,2,0,0,1,1,1,1,2,0,1,2,0,0,1,0,2,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,2,0,0,1,1,0,0,2,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,1,0,1,1,0,0,0,1,1,1,1,0,1,1,0,0,0,1,2,0,0,1,1,2,0,0,1,0,0,0,0,2,1,0,0,0,1,0,1,0,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0,1,0,1,1,0,2,0,1,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,1,1,1,2,2,0,1,1,1,0,2,1,0,1,2,2,1,1,0,1,0,1,1,1,1,0,0,0,0,0,2,0,0,0,1,0,2,1,1,2,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,1,1,2,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,2,1,0,1,0,0,0,2,0,0,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,2,1,0,0,1,0,0,0,0,2,0,0,1,2,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,1,1,0,0,2,0,0,0,1,0,0,1,0,1,2,0,0,1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,1,0,2,0,1,1,0,1,0,0,0,0,1,1,0,2,1,0,0,0,1,1,0,2,0,0,0,0,0,1,0,1,1,0,0,1,2,0,0,1,0,0,0,2,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,1,2,0,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,1,0,0,1,1,2,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,2,0,1,0,2,0,1,0,0,0,2,1,0,1,1,0,2,1,2,0,0,2,0,0,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0,1,1,1,2,0,0,0,0,0,0,0,0,2,2,1,0,2,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,2,1,0,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,2,1,0,0,1,0,2,0,0,2,0,0,0,1,0,2,0,1,0,0,0,0,2,2,1,1,0,0,1,1,2,1,1,2,0,0,0,2,2,0,1,0,2,0,0,0,0,0,0,0,1,1,0,1,0,0,2,1,0,0,0,1,0,0,0,1,0,0,2,1,0,0,0,0,1,1,1,0,0,0,0,0,1,2,0,0,1,1,0,1,1,2,1,1,0,1,0,0,0,1,2,1,1,1,0,0,2,0,0,1,0,0,0 0,0,1,1,1,0,0,0,0,1,2,2,0,2,1,0,0,0,0,1,0,0,2,1,1,0,0,1,0,0,1,0,2,2,0,0,1,1,0,0,2,2,0,0,1,0,0,0,0,0,2,1,0,0,2,0,0,0,1,1,1,0,1,1,0,0,0,0,1,1,2,0,0,1,0,0,1,1,0,0,0,0,0,2,0,0,1,1,1,0,0,0,1,0,0,0,0,1,2,0,2,0,0,0,1,0,0,2,0,0,0,1,1,1,1,0,0,2,0,1,1,2,0,0,0,0,0,2,1,1,1,0,1,1,0,0,0,1,1,1,2,0,0,1,2,1,1,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,2,1,1,1,0,0,1,0,1,2,0,1,1,1,0,2,1,0,0,0,1,0,1,1,0,2,2,2,0,1,1,0,0,1,1,2,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,2,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0,2,1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,2,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,2,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,2,1,2,0,0,0,0,1,1,0,0,1,1,0,1,1,2,1,1,0,0,0,2,1,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0,2,1,0,1,1,2,1,0,1,0,0,1,0,0,0,0,1,1,1,1,1,0,1,1,0,0,0,1,0,2,1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,2,1,0,0,1,1,0,1,1,1,1,2,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,2,0,0,1,2,0,1,1,0,0,2,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,2,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,1,1,0,2,0,0,1,1,0,1,0,0,1,2,0,1,0,0,1,1,0,0,1,1,0,1,0,1,1,1,0,0,1,0,1,2,0,1,0,0,2,1,0,0,2,0,0,0,1,0,2,0,1,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,2,0,1,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,1,2,0,0,0,0,0,1,0,1,1,0,1,1,0,0,1,1,1,2,0,1,0,1,0,1,0,1,0,0,0,0,0,1,2,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,1,2,1,1,0,0,0,1,1,2,1,1,2,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,2,1,2,0,0,1,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,1,0,2,1,0,1,1,0,0,1,1,0,0,0,1,2,1,1,1,0,2,0,0,1,1,0,1,2,0,1,0,1,0,0,0,1,1,0,0,0,0,1,1,0,1,2,0,0,0,1,0,0,0,1,0,1,0,0,0,2,1,1,0,0,0,0,2,1,1,0,0,1,0,1,0,1,0,0,1,0,0,2,0,0,0,2,0,1,0,0,1,1,1,0,0,1,2,0,1,0,2,1,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,2,2,0,0,1,0,1,1,0,1,2,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0,2,0,1,2,0,1,0,1,0,1,0,0,2,0,1,0,1,0,0,0,2,0,1,0,1,1,0 0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,2,1,1,0,0,2,0,1,1,0,0,2,0,1,0,0,2,0,0,1,0,1,2,0,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,2,0,0,0,0,1,1,1,2,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,2,1,0,0,0,1,1,0,2,2,2,1,1,0,0,0,2,0,0,0,2,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,0,0,1,0,1,1,1,2,0,0,0,0,0,0,1,1,1,2,0,2,2,0,1,0,0,0,0,1,0,1,2,0,0,2,0,1,0,1,0,0,0,2,0,0,0,1,0,1,0,2,1,1,2,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0,1,1,1,0,2,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0,2,0,1,0,1,0,2,2,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,1,2,2,0,1,1,0,2,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,2,0,2,0,0,1,0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,2,0,0,1,1,2,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,2,1,0,1,2,2,1,0,0,1,1,1,2,0,1,1,0,0,1,2,0,0,0,2,1,0,0,0,0,2,2,1,1,1,0,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,2,0,0,0,0,1,0,2,1,0,1,0,1,0,0,1,0,2,0,0,2,0,0,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,2,1,0,0,1,0,0,2,1,1,0,1,1,1,1,0,0,0,0,0,2,0,1,0,2,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,2,1,0,1,0,2,0,0,0,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,2,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,1,1,0,2,1,0,1,0,0,1,0,0,0,2,1,1,0,0,0,0,2,2,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,2,1,0,1,1,0,0,2,0,0,1,2,0,0,0,0,1,1,2,0,0,0,1,0,0,0,0,0,1,0,1,1,1,2,2,1,1,0,1,1,2,0,0,0,1,0,0,2,0,0,2,1,0,2,1,0,1,1,1,1,0,1,0,2,0,1,1,1,0,0,0,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,2,1,0,0,2,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,2,0,2,0,0,1,2,1,2,0,1,0,0,0,2,0,0,2,0,2,0,2,0,0,0,2,0,0,0,1,0,0,1,2,0,0,0,1,2,0,0,0,1,2,0,2,1,1,1,1,0,0,1,1,0,0,2,1,1,0,2,0,0,1,0,2,2,0,2,1,2,0,0,0,0,2,1,1,1,0,0,1,2,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,2,0,1,1,2,0,0,1,0,1,0,1,1,1,2,0,0,0,0,2,0,0,0,0,0,0,0,2,2,0,0,0,0,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,1,1,0,0,1,1,0,1,0,1,1,2,0,1,0,1,0,0,0,0,2,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,2,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,2,0,1,1,0 1,0,0,1,0,0,0,1,1,1,1,1,1,1,1,0,1,1,1,0,0,1,1,2,1,1,2,0,0,0,1,0,0,1,0,0,2,1,1,0,2,0,1,0,0,1,0,1,0,0,0,0,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0,1,2,0,1,0,2,1,0,0,2,1,0,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,2,1,0,0,0,1,0,2,0,0,0,1,0,0,1,1,2,0,1,0,0,0,0,1,2,0,0,0,1,0,1,0,0,1,1,2,0,1,0,0,1,2,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,2,2,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,2,1,0,0,0,1,0,0,1,0,1,0,1,2,1,0,0,0,2,0,1,2,0,0,1,0,0,0,0,0,0,0,0,2,0,2,1,0,0,1,2,2,0,1,0,1,1,1,2,0,1,0,1,0,0,2,0,0,0,0,0,2,1,0,0,1,1,0,0,0,0,0,1,1,0,0,2,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,1,0,0,0,2,0,0,1,0,0,0,2,1,0,0,0,0,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,1,1,1,1,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,1,2,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,2,0,1,1,2,0,0,2,1,1,1,2,0,1,0,0,2,0,0,0,0,0,2,0,0,0,0,1,0,0,2,0,0,2,1,0,1,2,0,0,2,0,0,1,0,0,0,0,2,0,0,1,0,0,0,1,1,0,1,0,1,1,1,0,0,2,0,1,0,1,1,0,2,0,0,1,1,1,1,0,0,0,2,1,0,0,1,0,0,0,2,0,2,0,0,0,0,1,1,0,0,1,1,2,0,1,0,1,0,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,1,1,0,0,2,0,1,0,1,1,0,0,2,0,1,0,0,0,1,2,1,0,0,2,1,1,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,2,1,0,2,0,0,2,1,1,0,1,0,2,0,1,0,0,0,2,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,2,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,2,0,1,1,0,0,1,0,0,2,1,0,1,2,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,2,2,0,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,2,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0,2,1,0,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,2,1,0,2,1,0,1,1,0,0,1,0,0,2,0,0,1,0,1,1,1,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,0,2,0,2,0,2,0,0,1,1,1,1,1,1,1,2,1,2,1,0,0,0,2,2,0,2,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,2,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,1,2,0,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,2,1,0,2,0,2,0,0,0,0,2,0,2,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,2,0,1,1,1,0,0,0,2,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,2,2,0,0,1,0,1,0,0,0,0,0,2,1,1,0,1,0,1,0,0,1,1,1,1,2,0,0,0,1,0,1,0,0,0,2,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0 1,0,2,2,0,0,0,2,0,0,2,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,0,2,0,0,0,2,0,1,0,1,1,0,2,1,0,0,2,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,2,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,1,1,0,2,0,1,0,1,1,0,0,0,0,1,2,1,1,0,0,2,1,0,0,1,0,0,1,0,1,2,0,0,1,2,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,0,1,2,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,2,0,0,0,0,1,0,0,2,0,0,2,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,2,1,1,0,1,0,0,2,0,0,1,0,0,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,2,0,1,2,2,0,0,0,1,2,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,1,0,1,0,0,0,1,1,0,2,0,1,0,1,0,2,0,2,0,1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,2,0,1,1,1,0,1,2,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,2,0,0,0,2,0,1,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,1,2,0,0,1,0,0,0,1,1,2,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,2,1,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0,2,0,1,0,1,0,0,1,0,1,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,2,1,0,2,1,1,0,0,0,1,0,1,1,2,2,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,2,0,2,0,0,1,1,1,2,0,1,0,2,0,2,0,0,1,0,1,0,2,1,1,0,0,0,0,1,0,2,1,1,2,1,0,0,1,0,1,2,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0,0,0,2,1,0,2,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,2,0,1,0,0,0,1,0,1,0,2,1,2,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,1,2,1,1,0,0,1,0,0,0,2,0,0,0,0,2,0,0,1,2,0,0,0,2,1,0,0,0,1,2,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,2,1,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,2,0,1,0,0,1,0,1,0,2,0,0,0,0,1,0,0,1,0,2,1,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,1,0,0,0,0,1,0,2,0,1,1,0,0,1,1,0,1,0,1,1,0,0,2,2,0,0,0,1,2,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,1,0,2,1,0,0,0,0,0,0,1,0,2,0,0,0,0,1,1,0,2,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0 1,0,0,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,2,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,0,1,1,0,0,1,1,0,1,0,1,1,0,2,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,2,0,2,1,0,1,0,0,1,0,1,0,0,0,0,0,0,1,1,2,0,0,1,0,2,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,0,1,0,1,2,1,0,1,0,0,1,0,0,0,1,1,0,1,2,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,2,1,0,1,0,1,0,1,0,0,0,0,1,1,2,0,1,1,0,1,0,2,1,0,1,0,0,0,1,0,1,1,1,1,1,1,1,0,2,0,0,2,0,1,1,1,1,2,0,1,1,0,1,0,1,0,0,0,2,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,2,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0,2,0,2,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,1,1,0,1,0,1,2,1,1,2,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,1,0,2,0,0,0,0,1,0,1,2,1,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,1,1,2,1,1,2,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,2,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,2,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,2,0,0,0,0,2,1,1,0,1,0,2,1,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,0,0,1,1,2,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,1,0,2,0,0,1,0,0,1,2,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,1,0,1,0,2,0,0,0,1,0,1,0,2,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,2,0,0,0,2,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1,1,2,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,2,0,0,0,1,1,1,1,2,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,2,1,1,1,0,0,0,0,2,0,1,1,0,2,1,0,0,1,1,0,2,0,0,0,0,0,2,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,2,0,0,0,0,1,2,0,0,1,0,1,1,2,0,0,1,1,2,0,2,0,2,1,1,0,1,0,0,0,1,1,2,2,0,0,1,1,0,2,1,1,1,0,0,1,2,1,0,0,0,0,0,0,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,2,1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,2,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,2,0,0,1,0,0,0,1,1,0,1,2,0,0,0,0,0,1,1,0,0,2,1,0,0,0,0,0,2,1,0,0,0,1,0,0,2,2,0,0,0,1,0,0,0,0,0,1,0,1,2,0,0,0,0,0,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,2,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1,0,2,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0 1,0,0,0,0,0,0,0,1,2,0,0,0,1,0,0,1,0,0,0,1,1,0,0,1,0,0,2,0,0,1,0,0,1,1,0,0,2,0,0,0,0,0,1,1,1,1,0,1,1,2,0,0,0,2,0,1,0,2,1,0,1,0,1,1,1,0,1,2,1,1,0,2,1,2,0,0,1,0,0,1,0,0,2,1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,1,0,2,0,1,2,0,0,1,1,1,1,1,1,1,0,0,0,2,0,0,1,1,0,2,1,0,2,0,0,2,0,0,0,1,0,0,0,0,0,1,1,1,0,1,1,2,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,0,0,2,1,0,2,2,0,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0,1,2,2,0,1,1,0,1,1,1,1,2,0,1,0,0,2,0,0,0,1,2,0,1,0,0,1,0,0,1,1,1,1,1,0,0,0,1,2,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,2,1,1,0,1,0,0,2,0,1,1,1,0,2,0,0,0,2,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,2,0,0,0,1,0,0,1,1,1,0,1,1,1,0,0,2,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0,2,0,0,0,1,1,1,0,0,1,1,1,0,2,1,1,0,2,1,0,0,1,0,0,0,1,0,1,0,1,1,1,0,2,0,1,2,1,1,0,0,2,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,2,0,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,2,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,2,1,0,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,2,2,1,1,2,1,2,1,1,0,0,2,0,1,1,1,0,1,0,1,0,0,2,0,1,0,1,0,2,0,1,1,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,2,1,1,1,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,2,0,0,2,0,0,1,1,1,2,0,0,0,0,0,0,1,0,2,0,1,0,1,0,0,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,1,2,0,1,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,1,0,0,2,1,2,0,1,0,2,1,0,0,1,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,1,1,0,0,2,1,1,0,1,0,0,1,0,1,0,0,0,0,0,1,1,1,0,2,0,1,2,2,0,0,1,0,1,2,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,2,0,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,2,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,2,2,0,0,2,2,1,0,2,0,2,0,2,0,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,2,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,1,1,0,0,0,0,1,2,0,1,0,0,2,0,1,2,1,0,0,0,0,1,0,1,2,1,1,0,1,1,0,0,0,0,1,0,0,0,1,1,2,0,0,0,0 0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,2,0,0,0,0,2,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,1,1,0,0,1,1,0,1,0,1,0,0,1,2,1,2,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,1,1,0,0,1,1,1,2,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,2,0,1,0,0,1,0,0,0,0,1,0,1,1,0,1,0,1,2,0,1,1,0,0,0,0,2,1,0,0,0,1,0,1,2,1,2,1,0,0,0,0,2,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,1,1,2,1,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,2,1,1,0,0,0,1,1,1,0,0,1,1,1,1,1,1,0,1,2,1,1,0,0,1,0,1,1,2,0,0,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,2,1,2,1,1,0,0,0,1,1,0,0,2,1,0,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,2,0,0,2,0,0,0,2,0,0,0,2,0,1,0,0,1,0,0,1,1,1,2,1,0,0,1,1,1,0,0,2,0,1,0,0,0,2,0,0,1,0,0,0,2,1,2,1,0,0,0,1,1,1,0,1,0,1,2,0,0,0,0,1,0,0,2,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,2,0,1,0,1,1,0,2,0,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,1,0,2,0,0,0,1,1,2,0,0,1,2,1,1,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,2,0,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,2,0,2,2,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,2,2,0,1,1,0,0,0,0,1,0,2,0,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,2,0,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,1,0,2,0,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,2,0,1,1,1,1,0,0,0,2,2,1,0,1,1,0,0,0,0,1,2,0,1,0,2,1,0,1,0,0,2,0,0,1,0,1,0,1,0,2,1,0,1,1,1,0,0,2,0,0,1,0,0,0,1,0,0,0,1,0,1,1,1,0,2,1,0,2,0,0,1,1,1,1,1,1,2,1,0,0,1,2,1,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,1,2,1,0,0,0,1,0,0,2,1,1,0,0,0,1,1,0,2,1,0,0,1,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,2,0,1,1,1,0,1,0,2,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0,2,1,0,0,0,0,1,2,0,2,2,0,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,2,1,0,1,0,1,1,1,2,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0 2,0,1,0,0,1,0,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,1,1,2,2,0,0,1,1,0,0,1,1,0,1,0,0,0,1,2,1,1,1,0,2,0,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,2,1,0,0,0,0,0,2,0,0,1,0,1,0,2,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,0,1,2,0,0,0,1,1,1,0,1,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,2,0,0,0,0,1,1,1,2,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,2,0,0,0,1,0,2,0,1,0,0,2,0,0,2,0,1,1,0,0,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0,2,1,1,1,0,1,0,0,1,1,1,1,0,2,1,1,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,2,0,1,1,0,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0,1,2,1,0,0,0,0,0,2,0,0,0,0,1,0,1,1,2,1,0,0,1,1,0,1,0,2,0,1,1,1,0,0,0,0,2,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,2,0,1,0,0,0,0,0,1,1,0,0,0,2,1,0,1,1,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,1,0,0,1,1,1,2,2,0,1,0,0,0,0,1,1,1,0,0,1,1,1,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,2,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,1,2,2,1,0,0,1,1,0,0,0,1,0,2,0,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,2,1,0,0,0,0,0,1,1,0,1,1,1,1,1,2,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,1,1,1,2,0,1,0,0,1,1,0,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,2,0,1,1,1,0,0,0,1,0,0,0,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,2,2,0,0,1,1,1,0,0,0,1,2,0,0,1,1,1,0,1,2,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,2,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,1,1,1,1,2,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,0,2,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,2,0,0,0,1,1,0,1,0,0,0,0,1,1,0,2,0,1,0,0,0,0,0,0,0,1,0,2,0,1,1,2,0,1,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,2,0,0,1,2,0,0,1,1,0,2,0,1,1,0,1,0,0,2,0,0,0,2,0,1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0,2,1,1,2,0,1,0,1,1,2,1,0,1,1,0,0,1,1,0,0,1,0,1,1,2,0,0,1,1,0,0,1,1,1,0,2,1,1,1,1,0,1,0,0,0,0,1,0,0,2,0,1,1,1,1,0,0,0,2,0,1,0,2,0,1,0,1,0,1,2,1,1,1,0,1,0,0,1,1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,1,0,1,0 1,0,1,1,0,0,1,1,2,1,1,1,0,2,1,1,0,0,1,0,0,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,2,0,1,0,0,1,0,0,2,2,1,0,0,0,0,0,1,1,2,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,2,1,1,1,1,1,1,1,2,0,0,1,1,0,0,1,0,1,1,0,0,1,2,0,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,1,0,2,1,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,2,0,0,0,2,1,0,1,0,2,1,0,1,0,1,0,0,1,0,2,0,0,1,2,0,2,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,2,1,0,0,1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0,2,0,1,1,1,0,1,0,2,0,0,2,0,2,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0,1,2,1,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,2,1,0,0,2,2,0,0,0,1,0,1,0,2,0,2,2,1,0,1,0,1,0,2,1,0,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,2,2,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,2,0,1,1,0,0,2,0,0,0,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,1,1,1,1,0,0,1,0,1,2,1,0,1,0,0,0,1,0,0,1,2,0,0,0,0,1,0,1,1,1,2,0,0,0,1,0,1,0,0,1,0,0,1,1,0,2,0,1,0,1,0,0,1,1,1,0,1,1,0,0,1,2,0,0,1,0,1,1,0,1,0,1,0,0,1,2,0,0,2,2,1,0,0,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,2,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,2,1,1,0,1,0,1,1,0,0,1,0,0,2,1,1,1,0,0,2,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,1,2,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,2,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,1,2,1,1,0,0,1,2,1,0,0,0,2,1,0,0,0,2,0,2,0,1,0,1,0,0,1,0,1,1,0,2,1,1,1,1,0,2,0,0,0,0,0,1,0,1,1,1,0,0,0,0,2,2,0,0,1,1,2,0,0,0,1,0,0,2,2,2,0,0,1,0,1,0,2,0,0,0,0,2,1,0,0,1,1,1,0,0,2,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,1,1,0,2,0,0,0,0,0,1,2,1,0,2,0,0,0,1,1,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,2,1,0,1,1,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,1,0,0,1,0,2,0,0,1,1,0,0,0,1,0,1,0,2,0,0,1,0,0,1,0,0,0,2,1,1,0,0,1,0,0,2,0,0,2,0,0,0,0,1,1,2,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,2,1,0 1,0,2,1,0,0,1,0,0,1,1,1,1,0,0,2,0,1,0,0,0,0,0,0,1,1,2,0,0,2,1,0,2,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,1,1,1,2,1,0,0,0,0,0,0,0,0,2,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,1,2,2,0,0,0,1,1,1,0,1,0,2,0,0,0,1,0,0,1,0,1,0,0,1,1,1,2,2,0,1,0,0,1,0,1,0,2,0,1,0,2,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,1,0,0,0,0,0,0,1,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,2,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,2,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,1,2,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,1,2,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,1,0,1,2,0,1,1,0,1,1,1,0,1,0,2,0,2,0,2,0,0,1,1,0,0,0,1,1,2,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0,2,0,2,0,0,2,1,1,0,0,0,1,0,0,1,0,1,0,1,2,2,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,2,2,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,2,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,2,0,0,1,2,0,1,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,1,2,2,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0,1,1,1,2,0,0,0,1,2,0,2,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,1,2,0,1,0,0,1,0,2,0,1,0,1,0,0,2,1,0,1,0,0,0,0,1,0,1,1,1,0,0,1,1,0,2,0,0,1,2,0,0,1,0,2,1,1,1,0,0,1,1,2,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,1,0,1,2,1,0,2,1,0,2,0,0,0,0,1,0,2,0,1,0,1,0,1,1,0,1,1,0,1,0,0,1,1,2,2,2,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,0,2,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,2,1,0,0,1,2,2,1,2,0,1,0,0,0,0,1,2,2,1,1,0,1,1,0,2,0,0,2,0,0,2,0,0,0,1,2,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0,2,1,0,1,0,2,2,0,0,0,0,0,1,1,1,2,1,1,1,0,1,0,0,0,0,1,1,1,2,0,0,0,2,1,1,0,1,0,1,0,1,0,0,0,0,1,1,1,1,0,1,0,2,0,2,0,1,1,1,0,0,0,1,1,0,1,0,2,0,0,0,1,0,1,0,1,1,2,0,0,1,0,2,1,0,0,2,0,1,1,0,2,0,1,0,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,2,0,1,0,0,2,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,1,2,0,1,0,0,0,2,0,0,0,1,1,0,0,0,2,1,0,1,0,1,1,2,0,2,0,0,1,0,1,1,1,0,2,0,2,0,1,0,2,0,0,0,1,1,0,0,1,1,1,0 0,0,1,1,0,1,0,0,0,1,0,2,0,0,1,0,0,0,0,0,1,1,1,0,1,0,0,2,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,2,1,1,0,1,1,0,0,1,0,1,1,0,2,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,1,2,1,1,0,0,2,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,1,0,1,2,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,2,1,1,0,1,1,0,1,0,0,1,1,0,0,2,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,2,0,1,1,0,0,1,0,1,1,0,2,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,2,0,0,1,0,1,0,0,1,0,0,1,0,1,0,1,0,2,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,1,2,1,1,1,0,1,0,0,1,2,0,0,2,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,2,0,0,1,0,0,1,0,0,2,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,0,0,0,1,2,0,0,0,1,2,1,0,0,1,0,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,2,1,1,0,1,0,2,2,1,2,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,2,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0,2,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,1,2,0,0,1,0,0,0,2,0,0,0,0,0,0,1,1,1,0,1,2,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,2,0,0,0,1,2,1,0,2,0,1,0,1,1,0,1,0,0,1,0,0,0,1,2,0,0,0,1,0,0,1,1,1,1,0,0,0,2,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,1,2,0,0,1,0,2,1,1,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,1,1,1,0,1,1,1,1,0,2,1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,2,0,2,0,2,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,2,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,2,1,1,0,1,1,2,0,1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0,1,1,1,1,2,1,0,0,1,0,0,0,0,2,1,1,1,1,0,0,1,1,1,0,0,1,0,0,2,1,0,0,1,0,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,2,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,2,0,0,1,0,0,0,1,2,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,2,0,0,2,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,2,1,0,0,0,2,0,1,2,2,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,0,1,2,0,1,1,0,0,0,0,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,2,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0 1,0,1,1,1,1,0,1,0,2,0,0,0,1,0,1,1,1,1,0,0,0,0,0,1,1,1,2,0,0,1,0,2,0,1,0,2,0,1,0,0,2,0,1,1,2,0,0,0,1,1,0,0,0,1,0,2,1,0,1,0,0,1,1,0,0,0,1,1,1,1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,2,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,2,1,0,1,0,0,1,0,1,1,0,0,0,0,2,1,0,1,1,2,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,2,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,1,0,1,0,2,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,2,1,0,1,0,1,0,2,2,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0,2,2,0,0,1,0,0,2,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,2,0,0,2,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,1,1,2,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,2,2,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,1,1,0,1,2,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,2,1,0,0,0,1,0,0,2,0,0,1,0,0,2,0,1,0,2,2,0,0,0,0,1,0,1,1,1,1,0,0,0,1,0,1,0,2,0,1,0,2,1,0,0,0,0,0,0,1,0,1,0,2,0,0,0,2,1,0,0,0,0,2,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,1,2,0,2,0,1,0,1,0,2,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,1,2,0,2,0,0,0,0,0,0,2,1,1,0,1,0,0,0,1,2,0,0,0,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,2,1,0,0,0,1,0,2,1,1,1,0,1,0,0,1,0,0,1,0,0,2,2,0,2,1,0,0,0,1,0,1,0,2,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,2,0,0,1,1,0,0,2,1,0,1,0,2,0,0,1,0,1,0,2,0,0,0,2,0,1,1,1,0,2,2,0,0,0,1,0,2,1,1,0,1,0,1,1,2,0,0,1,0,1,2,2,0,2,2,1,1,0,0,0,1,0,1,1,2,1,1,0,0,1,1,1,0,2,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,2,1,2,1,1,0,1,1,0,2,0,2,0,1,0,0,1,0,0,1,1,1,1,0,2,0,0,0,1,0,0,1,0,2,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0,2,0,1,0,0,2,1,0,1,0,1,1,0,1,0,0,2,0,2,0,1,0,0,1,0,0,2,0,0,1,2,1,1,0,0,0,0,0,1,1,0,0,0,2,0,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,1,0,0,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,2,0,0,1,0,1,1,2,1,0,0,0,1,1,1,1,1,1,0,2,1,0,2,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0,2,0,0,1,0,1,2,0,0,1,0,0,1,0,2,2,0,1,0,1,0,0,2,1,0,1,0,2,1,2,0,1,0,2,0,1,1,0,0,2,1,0,0,2,1,2,1,0,0,1,2,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0 0,0,1,1,1,0,1,0,1,1,0,1,0,0,2,1,0,1,1,0,0,0,1,0,1,1,1,0,1,0,2,0,0,0,1,0,0,0,0,0,1,2,0,0,1,0,0,1,0,0,0,0,0,1,0,0,2,0,1,1,0,0,0,0,0,1,1,1,0,0,1,0,1,1,1,1,1,2,0,0,0,0,0,0,0,0,1,0,1,1,2,2,0,0,0,1,0,0,1,0,1,0,1,2,0,1,0,1,1,1,1,0,0,2,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,0,0,2,1,1,0,0,1,0,1,2,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,2,1,0,2,1,2,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,1,1,1,1,1,0,1,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,1,2,1,1,1,0,0,0,2,0,2,1,0,1,0,1,0,1,0,0,0,1,0,0,1,2,1,0,1,1,0,1,2,1,1,0,0,0,0,0,1,1,0,1,0,0,0,2,1,0,0,0,0,0,1,0,2,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,1,2,0,1,0,2,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,1,1,1,1,0,0,1,0,2,1,0,0,0,1,0,2,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,2,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,2,1,0,1,1,0,2,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0,2,0,0,1,1,0,1,0,1,1,0,2,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,2,1,1,1,1,1,2,0,0,0,1,1,0,0,1,0,0,2,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0,2,1,0,0,1,0,0,0,1,0,0,2,0,0,0,0,0,0,1,1,0,2,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,2,1,1,1,0,0,1,1,2,0,0,0,2,0,0,1,0,0,0,0,0,0,2,2,1,1,0,1,1,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,1,0,0,1,2,0,0,1,1,0,1,1,2,0,0,0,1,0,0,1,1,2,0,1,0,0,0,1,0,1,0,0,0,0,1,0,1,2,1,1,0,1,1,0,0,0,1,0,0,1,2,2,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,2,2,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,2,1,2,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,2,0,2,0,0,2,0,0,0,1,0,0,0,1,1,1,1,1,2,0,1,1,1,1,1,0,0,1,0,1,2,2,0,0,0,1,1,0,0,0,0,0,2,0,0,1,2,2,0,0,1,0,0,1,1,1,0,0,0,2,0,2,2,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,2,2,1,0,1,0,0,1,2,1,1,1,0,1,1,1,2,1,0,1,1,1,0,0,0,2,0,1,0,2,0,2,1,1,0,0,0,0,0,0,0,2,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,2,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0 1,0,0,0,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,1,1,1,0,0,2,0,0,0,0,1,1,1,1,0,2,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,2,2,0,0,0,1,0,0,1,0,0,1,1,0,2,1,0,0,0,1,0,2,0,2,0,1,0,1,1,1,1,1,0,0,0,1,0,0,2,0,1,1,1,1,0,0,0,0,1,2,1,0,0,0,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,2,0,2,1,0,2,2,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,2,1,1,0,1,2,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,2,1,0,1,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,1,0,0,2,2,2,0,1,0,2,1,1,0,1,0,0,1,0,0,1,0,2,0,0,0,0,0,0,1,1,0,1,2,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0,2,1,1,1,2,0,1,0,0,0,1,0,1,1,0,1,1,2,0,0,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,2,0,0,1,2,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,2,0,0,0,1,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,1,1,1,2,0,2,1,1,0,1,0,0,2,0,2,1,0,0,0,0,1,1,0,2,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,2,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,2,0,0,0,1,0,0,0,0,2,0,1,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,1,1,1,0,0,1,2,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,2,1,0,1,0,0,0,0,0,1,1,0,0,0,2,0,0,0,1,0,1,2,0,1,1,1,2,1,0,0,0,0,2,0,0,1,0,1,0,0,2,0,0,0,0,0,1,1,1,1,0,1,0,0,2,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,2,1,2,0,1,0,0,0,0,0,0,1,0,0,2,1,1,1,0,0,0,0,1,0,0,0,0,0,1,2,1,1,0,0,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,2,0,0,0,1,0,1,0,0,0,1,0,1,0,0,2,0,1,0,1,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,2,1,0,1,0,2,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,2,1,0,0,0,0,0,1,2,2,1,0,1,1,1,0,1,0,0,2,0,1,1,1,0,1,1,0,1,0,1,0,0,0,2,1,0,0,1,1,1,0,0,1,0,0,0,2,0,0,0,0,0,0,2,0,0,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,2,0,2,2,1,0,0,0,0,1,1,0,0,1,0,2,1,0,0,1,1,1,0,0,1,1,0,2,0,0,0,1,0,0,1,0,1,2,1,2,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,2,1,0,1,0,0,0,1,1,1,0,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0 0,0,1,1,0,1,0,0,0,1,2,2,0,2,1,0,0,2,1,0,0,1,1,0,0,1,1,0,0,2,0,0,0,0,0,0,2,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1,2,0,0,0,0,0,0,0,0,1,0,2,0,0,2,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,2,1,2,0,0,0,1,0,1,2,1,1,1,0,1,0,1,1,2,2,0,1,0,0,0,0,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0,2,0,1,0,0,0,0,0,1,0,0,1,1,2,0,0,0,0,0,0,1,1,0,2,2,2,2,1,0,0,1,0,1,0,1,0,0,1,0,1,2,0,0,0,0,0,1,1,0,1,1,2,1,1,0,0,0,0,2,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,2,2,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,2,1,1,0,0,2,1,2,1,0,0,1,1,2,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,2,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,2,1,0,1,0,0,1,0,0,0,0,1,2,0,0,1,1,1,0,0,0,1,0,1,0,2,0,0,1,1,0,0,0,2,0,0,0,1,2,0,0,1,0,1,1,1,0,1,0,0,1,2,1,0,0,0,0,1,1,0,1,0,1,0,1,2,2,0,0,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,2,0,0,0,1,2,1,1,0,1,0,2,0,1,0,2,0,1,0,1,1,1,0,0,0,1,0,0,2,1,1,0,0,2,0,0,0,0,0,0,0,2,0,0,1,1,0,0,1,1,1,2,1,0,1,2,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,2,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,2,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,1,1,1,1,0,0,2,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1,1,2,2,1,2,0,1,0,2,2,0,0,1,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,1,1,2,0,1,1,0,0,0,0,0,0,1,0,0,1,2,1,0,0,1,0,1,0,2,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,1,1,1,0,1,1,2,0,0,0,0,0,0,2,1,0,1,0,0,1,2,0,0,1,1,2,0,0,1,1,1,1,0,0,0,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,2,1,0,0,0,1,0,0,0,0,2,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,2,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,1,1,1,1,0,0,2,1,1,0,2,1,1,2,1,0,0,0,0,1,1,2,2,2,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,2,2,2,0,1,1,0,0,0,1,1,1,1,0,1,1,1,1,0,1,2,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,2,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0,2,1,1,0,1,1,0,0,0,0,0,0,0,0,2,1,0,1,1,2,1,0,0,0,1,0,0,0,0,0,0,2,0,2,2,0,1,0,0,1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,2,0,2,0,0,0,0,2,0,2,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,2,0,0,0 1,0,1,0,2,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,1,0,2,2,0,1,1,0,1,1,0,0,1,1,1,1,1,0,1,1,0,1,0,1,0,1,2,0,0,0,2,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,2,0,1,1,0,0,1,0,0,0,0,1,2,0,0,1,2,0,0,2,1,1,0,1,1,0,0,1,0,1,2,1,0,2,2,0,1,0,1,2,1,1,2,0,1,0,1,2,1,0,1,1,0,0,1,0,0,2,1,1,2,1,0,1,1,1,0,1,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,1,1,0,0,0,1,1,1,0,2,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,2,2,0,0,0,2,1,0,0,1,0,0,1,1,0,2,0,2,0,0,2,0,2,1,1,0,2,2,0,0,2,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,2,0,1,0,0,0,0,1,0,1,1,0,0,1,2,1,1,0,0,1,2,0,0,0,0,1,0,0,1,2,0,0,2,2,1,2,0,1,0,0,0,1,0,2,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,2,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,2,0,0,1,0,0,0,0,0,1,2,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,2,0,1,1,0,0,0,0,2,1,2,1,0,0,1,0,1,0,0,1,0,0,1,1,0,2,0,0,0,1,1,2,1,1,1,1,1,0,0,0,1,1,1,1,0,1,0,1,1,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,2,0,1,0,1,0,1,0,0,0,0,0,1,0,1,1,1,0,0,2,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,2,0,0,0,0,0,2,0,0,2,0,0,0,1,0,1,1,0,0,2,0,1,0,1,0,1,1,2,1,0,2,0,0,0,2,2,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,0,1,1,1,1,1,2,1,0,0,1,1,0,1,0,2,0,2,0,0,1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,0,2,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,2,0,1,0,1,0,2,1,0,0,0,1,1,0,1,0,0,0,2,0,1,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,1,0,1,1,0,1,1,2,0,1,0,1,1,0,2,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,2,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,2,1,1,1,1,1,0,0,1,0,1,0,2,1,0,0,0,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,1,1,0,2,1,1,1,0,0,2,1,0,0,0,0,1,1,0,0,0,1,0,0,2,2,0,0,0,0,0,1,1,0,2,1,0,0,2,0,1,0,1,0,0,1,0,0,1,2,1,1,0,1,0,1,1,0,0,0,0,0,1,1,1,2,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,1,0,1,1,0,0,1,0,0,2,1,0,1,1,0,0,1,2,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0 0,0,1,2,1,0,1,1,0,1,0,0,0,0,1,1,0,0,2,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0,1,1,0,0,2,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,2,0,1,0,1,1,1,2,0,0,0,0,0,0,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,2,1,2,0,0,0,1,0,1,0,2,1,1,0,0,1,1,0,0,1,0,0,1,0,2,0,0,1,1,0,2,1,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,2,0,0,1,0,1,2,1,1,0,0,1,0,2,0,0,1,0,0,0,0,2,0,1,1,0,2,0,0,0,0,0,0,0,0,1,1,1,0,2,1,0,0,0,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,2,2,2,0,2,1,0,0,0,1,0,1,1,0,0,0,1,0,0,2,0,0,1,2,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,2,0,0,1,0,2,1,1,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,2,0,0,2,0,1,0,0,0,1,0,0,0,0,0,2,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,1,1,0,0,2,1,1,1,1,0,0,0,1,1,0,2,1,0,0,0,0,1,1,0,2,1,2,1,1,1,1,0,0,2,0,0,1,1,0,0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,1,0,2,0,2,0,1,1,2,1,0,0,0,0,1,1,1,2,0,1,0,0,0,2,0,0,0,1,0,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,2,0,0,0,0,1,0,1,0,0,0,2,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,1,2,0,0,1,0,0,2,2,0,1,0,0,1,0,0,0,1,0,1,1,1,1,0,2,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,2,1,0,0,1,0,1,0,1,0,1,1,0,2,1,0,0,1,1,2,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,1,1,2,0,1,1,0,0,0,0,0,1,0,0,1,2,1,1,0,1,1,1,2,1,0,1,0,2,0,1,1,0,0,1,0,0,0,0,0,2,2,0,0,0,2,1,2,0,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,1,0,0,1,1,0,1,2,0,0,1,1,0,2,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,2,1,1,1,0,1,0,2,0,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,2,0,1,0,0,0,0,2,0,1,0,1,0,1,0,0,0,1,0,1,1,0,1,2,1,1,1,1,0,0,1,1,2,2,0,1,0,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,1,1,1,2,2,0,0,0,1,0,1,2,0,0,0,0,2,1,1,0,0,0,1,0,1,0,0,0,1,0,2,2,2,1,0,0,0,1,1,0,0,0,1,2,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0,1,1,2,0,1,0,2,0,0,0,1,0,1,1,0,1,0,0,0,2,1,1,0,0,2,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,2,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0,2,0,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,2,1,0,2,0,0,0,0,0,1,0,0,1,1,0,0,0,2,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,1,0 0,0,2,2,1,0,1,1,0,1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,2,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,2,1,0,1,0,1,0,1,0,1,2,0,0,0,0,1,1,1,0,2,0,1,0,2,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,2,0,2,0,0,1,0,0,0,2,0,0,1,1,0,0,0,0,0,2,2,1,2,2,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,2,0,1,1,0,1,0,0,2,0,0,0,0,0,0,2,2,0,2,0,0,0,0,2,0,0,0,0,0,0,0,2,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0,1,2,2,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,2,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,1,0,0,0,1,0,0,1,0,0,1,2,0,0,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,1,1,0,2,0,0,1,0,0,2,0,1,2,0,1,2,1,0,1,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,2,2,1,2,1,0,0,0,0,0,1,0,1,1,0,0,2,0,0,1,0,0,2,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,1,2,0,2,0,0,0,1,1,1,0,0,2,2,0,1,2,1,0,0,1,0,0,0,0,2,2,1,1,1,2,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,1,1,1,1,0,0,1,0,1,2,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,2,0,1,1,0,1,0,2,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0,0,0,2,0,1,0,0,0,0,2,1,1,0,0,0,0,1,1,1,0,0,2,0,0,1,0,0,0,0,0,1,0,1,1,2,0,1,0,1,0,0,0,0,0,2,1,2,0,2,1,0,1,0,1,1,2,1,0,1,1,2,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,1,0,0,1,2,0,2,1,0,0,1,2,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0,2,0,0,0,0,1,2,2,1,1,1,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,0,1,1,0,1,0,0,0,0,2,2,0,1,0,0,0,0,0,0,1,0,2,2,1,2,0,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,1,1,1,1,0,0,0,0,1,2,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,2,0,1,1,2,2,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,2,0,0,0,1,0,0,0,0,2,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,2,0,0,1,0,1,0,0,0,1,0,0,1,2,0,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0 0,0,2,1,1,0,0,0,1,1,1,0,1,0,2,1,0,0,1,0,0,1,2,0,0,1,1,2,0,1,1,0,2,0,0,0,1,1,0,0,1,2,2,2,0,1,0,0,0,0,0,0,0,0,2,0,1,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,1,0,1,0,0,1,0,1,1,0,1,2,0,0,0,1,0,0,0,2,1,0,1,2,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0,1,2,2,1,1,1,1,1,0,0,2,1,1,0,0,0,1,1,1,0,1,2,0,0,0,0,0,1,1,2,1,0,0,0,0,0,2,0,0,1,0,0,1,0,0,2,0,0,0,0,2,1,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,2,1,0,0,1,1,1,0,0,2,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,2,1,1,0,0,0,1,2,1,1,0,0,0,0,0,0,1,1,1,2,1,0,1,1,1,0,1,1,0,0,0,1,1,1,0,1,0,1,1,1,0,1,0,0,2,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0,2,0,0,1,0,1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,2,1,0,0,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,2,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,1,2,1,0,1,1,0,1,0,1,0,1,0,0,0,1,1,0,2,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,1,0,1,0,1,2,2,0,1,0,0,2,1,0,1,1,1,0,1,0,1,0,1,0,2,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,2,1,1,0,2,2,1,0,2,0,0,0,2,0,0,0,0,1,1,2,1,2,0,0,2,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,1,2,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,2,0,1,0,0,0,2,1,0,0,0,0,1,0,0,1,0,2,0,0,1,1,1,0,0,2,0,1,0,0,0,0,1,0,2,1,1,0,0,1,0,0,0,0,0,1,0,0,1,1,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,2,0,0,0,1,0,1,2,0,0,0,0,0,1,1,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,1,1,1,0,2,1,1,1,1,0,0,0,1,0,0,1,1,1,0,2,0,2,1,0,2,1,0,1,0,0,0,1,0,2,1,1,0,1,0,0,2,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,1,0,1,1,1,1,0,0,2,2,1,0,0,0,2,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,2,1,2,0,1,0,1,0,0,0,0,2,1,0,0,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,2,0,0,0,1,1,1,2,1,0,0,1,1,0,1,1,0,2,1,0,1,0,2,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,2,0,0,1,0,1,1,1,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,1,1,1,0,1,0,1,2,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,2,0,0,0,0,0,1,1,2,0,0,0,1,0,0,0,1,1,0,1,2,1,0,0,1,0,1,0,0,0,0,0,1,1,2,2,1,1,0,0,0,1,1,0,1,1,1,0,0,2,1,0,0,1,0,0,0 1,0,1,0,1,0,1,1,2,2,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,0,1,0,1,1,0,0,1,1,1,0,1,1,1,2,0,0,1,0,1,0,0,1,0,0,1,0,2,0,0,2,0,0,0,0,0,0,0,2,1,0,1,0,2,1,1,0,0,2,0,1,0,0,1,1,1,0,2,0,1,0,2,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,1,1,0,1,1,0,1,0,2,0,0,0,2,1,1,1,0,0,0,0,0,2,1,1,1,0,1,0,0,1,0,1,1,0,0,2,1,1,2,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,2,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0,0,2,0,1,1,0,1,1,1,0,1,2,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,2,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,2,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0,2,1,2,0,0,1,0,0,2,2,0,1,0,0,1,1,0,0,1,0,1,0,0,0,2,0,0,1,2,0,0,1,1,1,0,0,2,1,1,0,0,1,0,1,2,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,2,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,2,0,0,0,0,1,1,1,2,1,1,0,1,0,0,1,0,1,0,0,0,1,0,2,0,2,1,1,0,0,1,2,0,1,1,1,0,0,0,0,2,2,0,0,0,0,1,0,0,1,1,0,1,2,0,0,0,0,0,0,1,1,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,1,2,2,0,1,0,0,0,1,0,0,1,2,1,1,0,1,0,0,1,1,2,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,1,1,1,0,2,0,1,1,1,0,1,0,1,0,2,0,1,2,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,2,0,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0,0,1,1,1,2,0,1,1,1,1,0,0,1,2,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,2,0,0,1,2,0,2,0,0,1,2,0,0,1,1,0,1,0,1,0,0,2,0,1,1,1,1,0,1,0,0,0,1,2,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,2,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,2,1,2,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0,2,0,2,0,0,1,1,2,1,1,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0,1,2,1,1,2,0,1,0,1,0,0,0,0,1,1,0,0,1,0,2,0,1,1,1,0,2,2,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,1,2,1,0,0,0,1,1,1,0,0,1,0,1,1,0,1,2,0,0,0,0,1,1,0,2,0,0,2,0,1,0,0,1,0,0,2,1,1,0,0,2,0,1,1,0,0,0,2,0,1,0,1,2,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,2,1,1,0 1,0,2,0,0,0,0,0,0,1,1,1,1,2,2,0,0,1,0,0,0,1,2,0,1,1,2,1,0,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,2,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,1,1,1,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,2,0,0,0,1,0,1,1,0,0,0,2,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,0,0,2,0,0,1,0,1,1,0,1,0,0,0,0,0,1,2,0,0,0,0,0,1,1,0,0,1,1,2,1,0,1,0,2,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,1,0,0,2,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,2,2,0,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,1,0,2,2,2,2,1,1,0,0,1,2,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,1,1,0,2,0,2,1,1,2,1,0,0,0,1,1,0,0,0,0,0,2,0,0,1,0,0,0,0,1,1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,2,1,0,0,0,2,1,2,0,0,2,0,1,1,0,0,2,0,0,0,2,0,0,1,0,2,0,0,2,1,2,0,0,1,0,0,0,1,0,0,1,1,2,1,2,1,1,0,1,2,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,1,1,0,2,0,1,0,0,1,2,0,0,1,0,0,1,0,0,0,0,2,0,0,0,2,0,2,0,2,1,0,0,0,0,1,0,1,0,1,2,0,1,1,0,1,0,0,2,0,0,0,1,1,1,0,0,0,1,0,2,1,2,0,0,0,0,0,0,1,0,1,2,1,0,1,2,1,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,1,1,0,2,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,2,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,2,0,1,1,1,1,0,0,1,1,1,2,2,0,0,1,0,1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,2,2,0,0,1,0,0,0,0,2,0,1,0,0,1,0,0,1,1,0,2,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,2,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,1,2,1,0,1,1,0,0,1,0,1,0,0,1,2,0,1,1,0,1,1,0,2,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,2,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,2,2,0,0,2,0,0,0,1,1,0,0,0,0,0,2,2,1,0,1,2,0,2,1,0,1,0,1,1,1,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,2,0,2,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,2,1,1,0,0,1,0,2,0,1,1,2,0,1,0,1,0,0,1,0,0,2,1,1,0,0,1,0,0,0,1,0,0,2,0,0,0,1,1,0,2,0,2,0,0,0,1,1,0,0,0,0,0,1,2,0,2,0,1,2,0,1,2,0,0,1,0,1,1,0,0,1,1,0,2,0,0,1,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0 1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0,2,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,2,0,1,2,1,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,2,0,0,1,0,1,1,0,0,1,0,2,1,0,0,2,0,1,1,0,2,1,0,0,0,0,0,0,1,1,1,0,0,1,2,2,0,0,0,0,2,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,2,0,1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,2,1,0,1,2,2,0,0,1,1,0,1,0,0,2,1,1,1,0,0,0,0,1,1,1,0,1,1,0,1,1,2,0,1,1,0,0,0,2,1,1,2,0,0,0,2,0,0,2,0,0,1,0,0,0,0,0,1,1,0,1,1,1,2,2,0,0,0,1,1,1,0,0,0,0,0,1,0,2,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,2,1,1,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,2,0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,2,2,1,1,0,1,0,0,0,0,0,1,0,0,2,2,1,1,0,1,0,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,2,1,1,0,1,2,0,0,1,0,0,2,0,2,1,2,1,0,0,2,0,1,0,1,0,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,2,0,0,1,0,1,2,1,1,0,1,0,2,0,2,1,2,1,0,1,0,0,1,0,0,0,1,0,0,0,2,1,1,1,1,1,0,1,0,0,1,2,0,0,1,2,0,1,1,1,0,1,1,0,0,0,1,2,1,0,0,1,0,0,0,0,1,1,1,1,2,0,0,0,1,0,0,1,0,1,1,0,1,0,1,0,1,2,0,0,2,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,2,0,2,1,0,1,1,0,0,0,1,0,0,0,0,2,1,0,0,1,2,0,2,1,0,0,0,1,0,1,1,1,1,1,0,1,2,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,2,1,1,0,0,1,0,0,0,0,2,0,0,2,1,0,0,2,1,0,0,0,0,0,1,0,0,2,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,1,0,1,1,0,1,1,1,1,1,0,1,2,1,2,0,0,0,0,0,0,1,1,2,0,0,0,2,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,2,1,2,0,2,1,2,1,2,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,2,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,2,1,0,0,1,0,0,1,0,1,1,1,2,1,0,0,0,1,1,0,0,0,0,0,0,0,2,0,1,1,1,0,1,1,0,0,0,1,1,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,2,0,2,1,1,0,0,0,1,0,0,0,0,0,0,2,1,0,1,2,0,1,0,2,1,0,2,0,0,0,0,1,2,0,1,0,1,0,0,1,0,1,0,2,0,1,2,0,1,1,1,0,0,1,1,0,0,2,0,1,1,0,1,0,1,0,0,1,1,2,1,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,1,2,1,0,1,2,1,1,1,1,0,0,0,1,0,1,0,0,2,0,0,0,0,0,0,1,0,0,0 0,0,1,2,0,1,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,2,0,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,1,1,2,1,1,1,0,1,0,2,0,2,0,0,2,1,2,0,1,0,1,1,0,0,2,0,2,0,2,2,0,0,1,0,1,0,0,0,1,1,0,2,2,0,1,0,0,0,0,1,0,1,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,2,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0,2,0,0,0,0,0,1,1,1,2,1,0,0,2,0,0,1,0,0,0,0,0,0,2,1,0,0,0,1,1,1,1,2,0,0,1,2,0,0,1,1,0,2,0,0,0,1,1,0,1,2,1,2,1,2,0,1,1,0,0,1,1,1,1,1,2,0,1,0,0,0,0,1,1,0,2,1,1,0,2,0,0,0,0,2,0,0,0,0,1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,1,1,1,1,0,0,0,1,2,2,1,0,0,0,1,0,0,0,0,0,0,0,2,2,2,1,1,2,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,2,2,1,0,0,1,0,2,0,0,1,0,0,0,0,0,1,2,2,0,0,0,1,1,1,0,1,0,2,1,0,1,0,1,0,0,0,0,1,1,0,1,2,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,1,0,1,1,0,0,1,1,2,0,0,1,0,2,0,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,1,1,2,0,0,0,0,1,0,0,2,0,0,0,1,0,1,2,0,1,0,0,0,0,2,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,2,1,0,0,1,0,0,0,1,0,0,2,0,2,1,0,1,2,2,2,1,0,1,0,0,1,2,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,2,1,1,1,2,0,0,1,0,0,1,1,0,2,0,0,1,1,0,1,1,0,0,2,1,1,0,1,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,1,1,1,1,0,1,0,1,0,1,2,0,1,0,0,1,1,0,1,0,1,1,1,1,2,0,0,0,2,0,1,0,1,0,2,0,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,2,1,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,2,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,1,0,2,0,0,2,0,1,1,1,1,2,0,1,0,1,1,0,1,1,2,0,1,1,1,0,0,0,1,0,0,1,1,2,1,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,2,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,2,1,0,0,1,1,0,0,1,0,1,1,2,0,2,0,1,1,0,1,0,1,0,0,1,2,1,1,0,1,0,1,2,2,1,1,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,1,0,1,0,0,1,1,1,2,0,0,1,0,0,0,0,1,0,0,0,0,2,2,1,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,2,0 1,0,2,2,0,0,0,2,0,0,1,0,1,1,2,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,2,0,1,0,1,0,1,2,0,1,0,0,0,2,1,2,0,1,2,0,0,1,0,1,1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,2,0,1,2,0,0,0,1,0,1,1,2,2,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,2,1,0,0,0,2,1,1,0,0,0,2,0,1,1,0,0,1,0,1,2,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,0,0,0,1,2,1,2,1,0,1,0,0,0,0,0,0,1,1,1,0,2,0,1,0,2,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,1,1,2,0,0,0,0,2,0,1,1,0,0,1,2,0,0,0,0,0,0,2,1,2,1,1,0,1,0,1,0,1,1,0,0,0,2,1,2,0,0,0,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,1,2,0,0,0,0,1,1,2,0,1,0,0,0,1,0,1,0,0,0,2,0,0,2,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,2,0,0,0,1,0,0,2,0,0,1,0,1,0,2,0,0,1,0,0,0,0,0,1,0,0,0,1,0,2,0,1,1,0,0,0,2,0,0,0,1,0,0,1,1,0,0,1,1,1,0,1,1,2,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0,1,0,1,1,2,0,0,0,1,2,0,0,0,1,1,2,0,2,0,1,1,1,0,1,0,0,0,1,0,0,1,1,1,1,0,1,1,2,0,0,2,1,2,2,1,0,1,0,0,0,1,1,1,1,1,0,1,0,0,0,2,0,0,1,0,1,0,0,0,0,1,1,0,2,1,0,2,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,1,1,1,1,2,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,2,1,1,0,0,0,1,0,0,1,1,2,0,0,1,0,0,0,0,0,0,1,1,0,0,2,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,2,0,0,1,0,0,0,1,2,2,1,1,0,1,1,0,1,0,1,1,0,2,1,1,1,1,0,0,2,1,2,1,2,0,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,2,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,2,1,1,0,1,0,0,0,1,0,1,2,1,0,0,0,0,0,2,2,0,0,0,1,1,1,0,1,0,2,1,1,0,2,1,1,1,0,1,1,1,0,0,2,0,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0,1,0,1,2,0,0,0,0,1,1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,2,2,1,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0,1,0,1,1,1,0,1,2,0,1,1,2,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,2,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0,2,1,0,0,0,0,0,1,0,1,0,0,0,0,1,2,1,0,0,1,0,1,1,0,1,1,2,0,1,0,1,0,1,0,0,0,0,0,1,1,2,0,0,1,0,1,0,0,0,1,1,0,0,1,2,2,0,0,0,0,2,0,0,1,1,1,0,0,0,0,0,1,1,1,1,0 1,0,1,1,1,0,0,1,0,2,1,0,0,1,0,0,0,1,1,0,0,0,2,0,2,1,0,1,1,0,1,0,0,0,1,1,2,2,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,2,0,0,1,0,1,2,0,0,1,1,2,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,2,0,1,0,1,1,0,0,0,1,1,0,1,0,1,2,1,0,2,0,2,0,1,0,1,0,1,1,0,1,0,2,0,1,0,0,0,0,2,0,1,0,0,1,0,1,0,0,0,0,0,2,0,2,0,0,0,0,1,0,1,0,1,2,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,2,0,0,2,0,0,0,1,1,0,0,1,1,1,0,2,0,0,0,1,0,0,0,0,0,0,1,0,1,0,2,2,0,0,0,0,0,0,1,1,1,0,0,1,0,0,2,1,0,2,0,1,1,0,0,1,1,1,2,1,0,1,1,2,0,1,1,0,2,0,0,1,0,0,1,0,0,0,2,1,0,0,2,0,0,0,2,0,2,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,2,1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,1,0,0,2,1,0,2,1,2,0,0,1,0,0,2,0,0,0,0,0,1,1,0,2,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,2,1,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,1,2,0,0,0,1,1,0,0,1,1,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,1,1,1,0,1,1,0,0,1,2,1,1,1,0,1,0,0,0,1,2,0,1,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,1,0,2,0,1,1,1,1,0,0,2,1,0,1,0,2,0,0,0,1,0,0,1,1,0,0,2,0,0,1,1,1,1,1,0,0,2,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,2,2,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,2,0,1,1,1,0,1,0,0,1,1,0,2,0,0,2,2,0,0,1,2,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,1,2,1,1,0,0,0,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,2,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,1,1,0,0,0,1,0,2,0,0,0,2,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,2,0,0,0,0,0,0,1,0,0,1,0,1,0,2,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,2,0,1,0,1,0,0,0,1,1,2,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,1,1,0,2,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,2,1,2,0,1,1,0,0,1,0,2,1,0,0,0,0,1,0,0,1,1,0 0,0,0,1,1,0,1,1,0,1,2,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0,1,2,0,2,1,0,1,0,0,0,1,2,0,0,1,0,0,0,2,0,0,1,0,0,2,0,0,0,1,0,2,1,1,2,1,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,2,0,0,0,0,0,1,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,2,2,1,0,0,2,0,0,2,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,2,0,1,0,0,1,1,0,2,0,0,0,0,0,0,0,0,2,0,1,0,0,1,0,1,2,0,0,2,1,0,1,0,0,1,1,0,0,1,0,1,2,0,1,0,1,2,0,0,0,0,1,1,2,0,0,0,0,0,0,0,1,1,0,2,0,0,0,1,0,0,2,0,0,0,0,1,1,1,1,0,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,2,1,0,1,1,1,0,1,2,1,0,0,0,1,1,0,1,0,2,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,2,0,0,0,2,0,2,0,0,0,0,1,0,1,0,1,1,1,1,1,1,0,2,0,0,2,1,0,0,2,0,0,2,0,1,0,0,0,1,1,0,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,1,2,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,2,0,1,0,0,2,0,0,0,0,1,1,0,1,0,0,1,1,0,1,0,1,1,2,2,0,0,0,0,0,1,0,1,1,2,2,0,0,1,0,0,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,2,0,0,1,0,0,0,1,2,2,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,2,0,1,1,1,0,0,0,1,0,1,0,0,1,0,1,1,2,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,2,1,1,0,0,0,1,0,0,1,2,0,1,0,2,2,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,2,1,1,0,0,2,0,1,1,1,1,1,0,0,2,0,1,0,0,2,1,0,1,1,0,1,0,2,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,2,1,0,0,2,1,0,2,1,1,0,1,0,1,1,0,1,1,2,0,0,1,0,0,0,1,2,2,0,2,0,0,0,0,1,2,0,1,1,0,1,1,0,0,0,0,1,0,0,2,0,0,0,0,1,1,0,0,1,0,2,0,0,0,1,1,2,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,1,2,0,1,1,2,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,0,0,0,1,2,1,0,0,2,2,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0,1,2,0,2,1,1,0,0,0,0,1,1,2,2,0,2,2,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,1,1,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,1,2,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,2,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,2,1,0,1,1,0,1,1,1,0,0,0,2,0,0,1,0,1,1,0,2,0,0,0,1,0,1,2,1,0,0,2,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,1,0,1,1,1,2,0,0,2,0,0,1,0,1,1,0,0,2,0,0,0,0,0,1,0,2,0,1,1,0 2,0,1,2,0,1,0,0,0,1,2,2,1,2,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,2,1,1,0,0,1,0,0,1,2,2,2,1,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,2,1,0,1,1,1,2,0,1,0,0,1,0,1,0,0,0,0,0,0,1,1,2,1,1,1,1,2,0,0,1,1,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,2,2,0,1,1,1,0,2,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,2,0,1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,1,1,1,1,0,1,2,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0,1,2,1,0,1,0,1,0,0,1,0,0,0,1,0,0,2,0,0,0,1,1,0,2,0,0,0,0,2,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,2,0,0,1,1,0,0,1,2,1,0,1,2,2,1,0,0,2,0,0,2,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,1,0,1,1,1,1,0,1,0,1,2,0,1,0,0,1,1,0,0,2,0,1,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,1,2,1,0,0,0,0,1,1,1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0,1,2,1,0,0,0,2,0,0,2,1,1,1,0,1,0,0,0,0,2,0,0,0,0,0,1,0,1,1,0,0,0,0,0,2,1,0,1,0,1,0,0,0,0,0,2,1,0,0,2,0,0,0,2,1,1,1,0,1,2,0,0,1,1,1,0,2,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,1,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,2,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,2,1,1,0,1,1,2,1,1,1,0,0,0,1,1,1,0,1,0,0,1,1,1,1,2,0,1,0,0,0,0,0,0,0,2,0,1,0,1,1,0,1,1,0,0,2,0,1,0,0,0,1,0,0,0,0,0,2,1,0,2,0,0,0,0,1,0,1,0,0,0,2,1,1,0,0,1,0,1,0,0,1,1,1,2,1,0,1,2,0,0,1,2,0,0,0,0,1,0,1,1,2,2,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,0,1,1,0,2,1,0,0,0,0,1,1,2,1,1,1,2,0,0,0,1,0,1,2,2,1,2,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,1,0,1,0,2,0,0,1,1,0,0,0,0,1,1,1,2,0,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,2,1,1,2,2,0,1,1,1,1,0,2,1,2,1,1,0,1,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,1,0,0,0,0,0,2,0,0,0,1,2,0,0,1,0,0,0,0,0,2,0,1,2,2,1,0,0,0,1,1,0,2,1,0,2,0,0,2,1,0,1,0,2,0,0,1,1,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0 1,0,1,2,1,0,0,0,0,1,0,1,0,0,2,0,0,1,1,0,0,0,0,2,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,2,0,2,2,1,1,0,2,0,2,1,0,0,0,2,0,1,1,2,1,0,0,0,0,0,2,1,2,0,0,2,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,2,2,1,1,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,2,0,2,0,0,1,0,0,0,0,0,0,0,0,1,1,1,2,1,0,1,0,0,0,0,1,0,2,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,0,0,2,2,1,0,1,0,1,1,0,0,0,0,0,1,0,2,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,2,0,0,0,0,1,1,0,0,1,0,0,1,2,1,0,0,0,0,0,1,1,2,0,1,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,2,1,0,1,0,1,0,1,1,0,0,0,0,1,2,1,1,1,0,1,1,2,0,1,0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,2,1,1,2,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,1,0,1,1,1,0,0,0,0,2,0,0,2,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,1,2,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,2,0,1,0,0,1,0,1,0,0,1,1,1,0,1,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,2,0,0,1,0,2,1,2,1,1,1,1,2,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,1,2,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,2,0,1,0,2,0,0,0,0,1,0,0,1,0,0,0,0,1,1,2,0,0,1,0,1,0,0,1,0,1,1,1,0,1,1,0,2,1,1,1,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,2,0,1,2,0,1,1,2,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,1,2,0,2,1,1,0,0,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0,2,1,0,0,1,0,1,0,1,0,0,2,1,1,0,0,0,0,1,0,1,2,0,1,2,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,1,1,1,0,0,1,2,2,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0,2,1,0,0,0,0,0,0,2,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,2,0,1,0,0,0,1,1,0,0,0,2,1,0,0,0,1,1,0,0,2,0,0,0,0,1,0,1,2,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,2,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,1,2,2,0,1,1,1,2,2,0,1,2,0,0,0,0,0,1,0,0,0,0 1,0,2,1,1,0,1,0,0,1,0,1,0,2,1,0,0,0,0,0,0,1,1,0,2,2,1,1,0,0,2,0,1,0,1,0,2,0,2,0,1,2,0,1,1,1,0,2,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,2,1,0,0,0,2,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,2,1,1,1,0,0,0,0,0,2,1,0,1,0,1,0,1,0,0,1,1,2,0,1,1,2,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,2,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,2,1,0,0,0,1,0,1,1,1,0,1,0,2,0,0,2,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,2,1,0,1,0,2,1,0,0,1,1,1,0,1,0,0,0,0,0,0,1,2,1,1,1,1,0,0,2,0,0,1,1,2,0,1,1,0,1,0,0,0,0,0,0,0,2,0,0,1,2,0,1,0,0,2,0,1,0,0,0,1,1,0,0,0,0,0,2,0,1,2,0,0,0,0,0,0,0,0,0,1,1,0,2,0,1,0,1,0,1,1,1,0,1,2,2,1,1,1,1,1,0,1,1,0,1,1,0,1,0,2,0,0,1,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,2,0,0,0,0,1,0,0,2,0,0,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,2,1,1,1,1,0,0,0,0,2,0,1,0,0,1,0,0,1,0,2,1,0,0,1,1,1,1,0,1,2,0,1,0,0,1,1,0,1,1,0,0,1,2,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,2,1,0,2,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,2,0,0,1,1,1,0,1,2,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,2,0,0,1,1,0,1,1,0,1,2,0,0,0,0,0,2,0,1,1,0,0,0,0,1,2,0,0,0,0,0,0,1,1,0,0,0,0,2,2,0,1,0,1,1,1,0,0,0,0,1,1,2,1,1,0,1,0,0,0,0,0,1,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,0,2,2,0,0,1,2,0,0,0,1,2,0,1,2,1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,1,1,1,1,1,0,2,0,1,0,0,2,0,0,0,2,0,1,1,1,0,0,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,2,0,0,1,0,1,0,0,2,1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,2,0,0,1,0,1,1,2,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,1,2,0,0,1,1,0,0,0,0,2,0,0,0,0,2,1,1,0,0,0,1,0,1,1,1,0,0,2,1,1,1,1,0,1,0,0,1,2,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,2,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,2,1,0,0,1,0,0,1,1,0,1,1,1,0,0,0,2,0,1,0,1,0,0,0,0,0,2,2,0,0,2,2,0,0,0,1,0,1,1,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,2,1,1,0,0,0,0,1,0,1,2,0,1,0,0,2,0,2,1,0,0,0 1,0,0,2,1,0,1,0,0,1,2,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,2,2,0,0,1,0,0,2,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,0,1,1,1,1,2,0,1,1,0,0,1,1,0,1,1,0,0,2,0,0,2,0,1,2,0,1,0,1,2,0,0,0,0,2,1,0,2,0,1,1,1,0,1,1,2,2,0,0,0,0,1,0,0,1,0,0,1,1,2,0,1,2,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,1,0,2,1,0,1,0,1,0,0,0,1,1,1,0,0,0,1,2,0,1,0,0,0,0,0,0,1,0,1,1,1,1,0,0,2,1,1,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,2,1,2,0,1,1,0,1,0,1,0,0,1,0,0,0,1,0,2,2,1,0,1,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,2,0,0,0,0,1,2,0,1,0,0,0,1,0,0,1,2,1,0,1,2,0,0,1,0,0,2,0,2,2,0,1,0,2,0,0,2,0,1,1,0,0,1,0,1,0,2,2,0,0,0,1,0,0,2,0,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,1,1,2,0,1,0,1,1,0,1,2,1,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,2,0,2,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,2,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,2,0,1,1,1,0,0,1,1,1,0,0,2,0,0,1,1,0,0,0,0,0,1,1,1,1,2,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0,1,1,1,1,0,0,1,0,0,2,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0,2,2,0,0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,1,0,1,2,0,0,0,1,1,0,0,0,0,1,1,0,2,1,1,2,1,1,1,2,0,0,1,2,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,1,1,2,0,1,0,0,0,1,1,1,1,0,1,2,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,2,0,0,0,1,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,2,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,1,0,1,1,0,1,0,2,0,2,1,0,0,2,2,0,1,1,0,1,0,0,1,1,1,0,0,0,1,2,0,0,1,2,2,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,2,1,0,1,1,0,1,0,2,0,0,1,1,0,0,0,2,0,0,1,1,1,1,0,0,0,0,0,0,1,0,1,2,0,0,0,0,2,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0,2,0,1,1,0,0,2,2,1,0,0,1,0,0,1,0,0,1,0,1,2,0,0,1,1,1,0,0,1,0,1,2,1,0,0,2,0,0,2,0,0,1,0,1,0,1,2,0,1,0,0,0,1,2,1,0,1,1,2,0,0,0,0,0,0,0,0,0 1,0,1,1,0,0,0,0,0,1,2,0,1,2,2,0,0,0,1,0,0,0,1,1,2,0,1,1,0,2,1,0,1,2,0,0,0,0,0,0,2,0,0,1,2,0,0,0,1,0,1,0,0,0,1,0,0,0,0,2,1,0,1,0,0,1,0,2,1,1,0,0,1,1,0,1,0,2,0,1,0,0,0,1,1,0,2,0,1,0,1,2,0,0,0,0,2,0,0,0,0,0,0,2,1,0,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,1,2,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,2,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,2,0,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,2,0,2,0,0,0,0,0,1,0,0,1,1,0,1,1,0,1,0,1,2,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,2,0,0,2,1,1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,2,0,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,2,0,0,1,1,0,2,0,0,1,1,2,1,2,0,1,1,2,2,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,1,2,0,1,0,0,0,0,1,0,0,0,0,1,1,2,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,2,0,1,0,0,1,0,1,0,0,1,0,1,0,1,1,1,2,0,1,0,0,1,2,0,0,0,1,1,0,0,1,1,0,2,2,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,1,1,0,0,1,0,0,1,2,1,0,2,2,0,0,0,1,0,2,1,0,0,1,2,1,0,0,0,2,0,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,2,2,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,2,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0,2,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,1,1,2,0,1,1,1,1,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,2,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,2,1,0,0,0,1,1,1,0,2,1,1,0,0,1,0,1,0,0,0,0,2,0,2,0,0,0,1,1,0,0,1,0,1,0,2,1,0,0,0,1,1,1,2,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,2,2,0,1,1,0,2,0,1,0,0,1,0,2,0,1,0,2,1,2,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,2,1,0,2,0,1,0,1,1,2,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,2,0,0,0 0,0,1,2,1,0,0,0,2,2,1,0,2,0,1,1,1,2,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,2,1,0,0,1,1,1,2,1,1,0,2,1,1,1,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,2,0,0,1,0,0,2,0,0,0,0,0,1,1,2,1,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,1,0,2,2,0,1,0,2,0,2,1,1,0,0,1,0,0,0,0,1,1,1,0,1,0,2,0,0,1,0,0,0,2,0,0,2,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,1,0,2,0,0,0,0,1,2,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,2,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,2,0,2,1,0,0,1,0,1,2,1,0,0,1,1,0,0,1,0,0,0,0,1,0,1,1,1,1,1,0,2,0,1,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,2,2,1,0,2,0,0,0,0,1,1,0,1,1,1,0,0,2,0,0,0,1,1,2,0,0,0,2,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,2,1,1,0,0,2,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,2,1,1,2,1,0,1,0,1,0,0,2,0,0,1,0,1,0,0,0,0,0,1,0,2,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,2,0,1,1,0,0,2,0,0,1,0,0,0,2,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,2,0,2,0,0,0,2,0,0,0,2,0,1,1,0,2,1,0,1,0,1,1,2,1,0,0,1,1,0,1,1,2,0,1,1,0,0,0,0,0,0,0,2,0,0,2,2,0,1,0,0,1,1,0,1,2,0,1,1,0,0,0,1,1,0,1,0,2,0,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,2,0,0,0,0,1,0,0,1,1,1,1,2,0,0,0,0,1,1,2,0,1,0,0,1,0,0,1,0,2,0,0,1,1,2,2,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,2,1,0,1,0,0,0,1,2,0,0,0,0,1,0,0,2,0,0,1,1,2,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,2,0,2,0,1,0,1,0,0,0,0,1,2,1,0,1,0,2,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,1,0,2,0,0,1,0,1,1,1,1,0,0,1,1,1,1,2,1,1,2,0,1,1,1,1,0,1,1,0,0,0,0,1,1,1,2,1,0,1,0,0,1,1,0,0,1,1,1,2,2,1,0,0,0,0,0,1,0,0,0,0,2,0,1,0,1,0,0,0,0,0,0,1,0,1,0,2,0,1,1,1,2,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,1,0,1,2,1,1,0,1,1,0,1,1,0,2,1,1,0,1,0,1,0,0,1,0,1,0,0,0,1,1,1,1,0,1,1,2,1,1,2,1,1,2,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,1,1,0,0,0,1,2,0,2,0,0,0,0,0,1,1,2,1,1,0,0,1,1,1,2,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,1,1,0 0,0,0,2,0,0,0,2,1,2,0,0,0,1,1,0,1,1,1,1,0,1,1,0,1,1,0,1,1,1,1,0,2,2,0,0,1,0,1,0,1,2,1,1,0,0,0,0,2,1,2,0,0,0,0,0,1,1,2,1,0,0,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,0,1,0,2,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,1,2,1,0,0,0,0,1,2,0,1,0,2,0,0,0,0,0,0,1,0,0,2,1,0,1,0,2,1,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,2,0,0,0,1,0,0,0,1,0,2,1,1,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,2,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,2,0,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,2,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,1,0,2,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,2,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,2,0,0,0,1,0,1,0,1,0,1,0,0,1,0,0,1,1,1,0,0,0,0,2,0,1,0,1,2,0,0,0,1,1,0,0,2,1,0,1,0,1,0,1,0,0,0,0,2,1,1,0,2,1,2,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,1,0,2,1,1,0,0,0,0,1,0,1,1,2,0,0,0,0,0,2,0,1,2,0,1,0,1,0,2,2,2,0,1,0,1,0,0,1,1,2,0,0,0,0,1,2,0,0,1,0,2,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,2,1,0,1,1,0,0,0,0,0,2,0,1,2,0,1,0,0,1,2,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,1,0,1,0,0,1,2,1,1,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,1,1,2,1,1,0,1,0,0,1,1,1,1,1,0,2,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0,2,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,2,1,0,0,1,1,0,0,2,0,0,0,0,0,0,1,0,0,1,2,2,1,0,1,0,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,2,0,0,1,0,0,1,0,0,1,2,0,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,1,0,1,1,0,0,2,0,0,0,0,0,1,0,0,1,0,1,2,0,0,0,0,1,0,0,1,1,2,2,2,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,2,0,2,0,0,1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,1,0,0,0,1,0,1,2,1,0,0,1,1,0,2,0,2,0,0,0,0,1,0,1,1,0,0,0,0,1,2,1,1,0,1,0,2,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,1,2,1,1,0,0,0,2,0,0,1,2,0,0,1,1,1,1,0,0,0,1,0,1,1,0,1,1,2,1,1,0,1,2,0,0,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0,2,0,0,0,1,1,2,1,0,1,2,0,1,0,2,0,1,0,0,0,0,1,1,0,0,0,0,0 1,1,1,1,0,0,1,2,0,2,2,1,1,1,0,0,0,1,0,0,0,0,2,1,1,0,1,0,2,1,1,0,0,0,1,0,1,0,0,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,2,0,0,0,1,2,1,0,0,0,1,2,1,1,2,0,0,0,2,1,0,0,0,1,0,1,0,0,0,2,0,1,1,0,1,0,2,1,0,0,0,2,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,0,2,0,1,2,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,2,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,1,0,1,0,1,2,2,0,0,0,2,1,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,2,0,0,2,0,2,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,2,0,1,2,0,0,1,0,2,0,0,1,0,2,0,0,0,0,1,0,1,1,0,0,0,1,0,1,2,0,1,0,0,1,0,2,0,2,0,1,0,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,2,1,0,0,1,0,1,2,0,1,1,0,1,0,0,1,0,0,1,2,0,1,2,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,2,1,0,0,0,0,0,0,2,0,0,1,1,1,0,1,0,1,0,0,1,1,2,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,2,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,2,1,1,0,0,0,2,0,0,0,1,2,0,1,0,0,0,1,0,1,1,1,0,0,0,1,2,0,1,1,0,1,1,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,1,2,1,1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,2,1,1,0,2,1,0,1,0,2,2,0,0,0,0,0,0,1,0,0,0,1,0,2,0,0,0,0,1,2,0,0,1,1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,1,0,1,1,1,0,2,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,2,0,2,1,1,0,0,0,0,0,2,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,2,0,0,2,1,2,1,0,0,2,0,1,1,1,0,0,1,1,0,0,2,1,2,1,0,0,2,1,2,2,2,1,1,1,0,0,1,0,1,0,0,2,1,2,1,1,0,0,1,1,1,0,2,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,2,0,0,0,1,0,0,1,2,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,0,1,2,0,0,2,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,2,0,0,1,0,0,0,0,0,0,0,0,0,2,2,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,2,1,1,0,0,2,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,2,1,0,0,1,0,1,1,1,0,2,0,2,0,0,0,1,0,0,0,0,0,1,0,0,0,2,1,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,1,1,2,0,1,0,1,0,0,1,1,2,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,2,1,0,2,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,1,0,1,0,1,2,1,1,0,1,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0 2,0,0,1,0,0,1,0,0,0,1,2,0,2,1,0,0,1,0,0,1,1,1,1,1,0,2,0,0,0,2,0,1,0,0,0,1,1,1,0,2,0,1,2,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,2,0,0,0,1,1,0,1,0,0,2,0,0,1,0,0,0,0,0,1,0,1,0,2,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,1,0,1,2,1,0,1,1,0,0,1,0,0,2,0,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1,2,0,0,0,0,1,1,0,0,1,0,2,0,0,0,0,1,0,1,2,0,1,0,1,1,0,0,0,0,0,0,2,0,1,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,2,0,0,1,0,1,2,1,1,1,0,0,2,0,0,2,1,1,0,1,1,0,2,0,0,0,2,0,0,0,1,1,2,1,1,1,0,2,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,2,1,0,1,0,2,0,0,1,0,1,2,0,0,0,2,0,0,1,0,0,0,1,1,0,1,0,0,1,0,1,1,2,1,0,0,2,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,2,1,0,0,1,1,0,1,0,1,0,0,2,1,0,1,0,1,2,1,0,0,0,0,1,1,0,0,2,0,0,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0,1,1,0,1,1,0,1,1,2,0,0,0,0,0,1,0,0,2,0,1,1,1,0,2,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,2,0,1,1,0,0,2,0,0,0,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,2,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,1,1,2,0,1,0,0,0,2,0,0,0,2,1,0,0,0,2,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,1,2,0,1,2,0,1,0,0,1,2,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,2,0,0,1,0,0,1,0,0,0,2,1,1,0,0,1,1,1,1,1,1,2,2,2,1,2,0,1,0,1,1,1,0,1,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,2,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,0,2,2,1,1,0,2,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,2,0,1,1,0,0,0,0,0,2,0,2,0,0,0,1,0,0,2,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,2,0,0,0,2,0,1,0,0,0,1,1,0,1,2,0,0,1,0,0,1,0,0,0,2,1,1,0,1,0,0,0,2,0,0,1,1,0,2,1,1,1,0,2,1,0,0,1,0,2,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0,1,0,2,1,0,0,1,0,2,0,0,1,0,0,0,1,0,1,0,0,2,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,2,1,0,1,1,0,0,2,0,0,2,0,0,0,0,0,0,0,0,1,1,1,0,0,1,2,0,1,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,2,0,0,1,2,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,2,0,0,0,0,0,1,1,0,0,1,0,0,1,1,2,0,0,1,0,0,1,0,0,1,0,1,0,1,0,1,2,0,0,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0 0,0,1,1,0,0,0,0,1,1,2,0,0,0,1,0,0,1,1,0,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,2,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,2,1,2,1,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,1,1,0,1,2,0,0,1,1,0,1,0,0,1,0,2,0,2,1,0,1,1,1,1,1,1,1,1,1,0,0,0,1,0,1,0,1,2,0,1,1,0,1,0,1,0,0,0,1,0,1,1,1,2,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,2,0,0,0,0,1,0,0,2,0,2,1,0,0,0,0,0,0,1,0,1,1,0,1,2,0,0,0,2,0,1,1,2,0,0,0,0,0,0,2,0,0,0,1,0,1,0,0,1,1,2,0,0,1,0,0,0,1,2,1,0,1,1,0,0,0,1,2,1,1,1,0,1,0,0,1,1,2,0,0,2,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1,2,0,1,0,0,1,0,0,2,0,0,1,0,0,0,2,0,2,0,1,0,0,1,1,0,2,1,1,1,0,1,0,1,1,1,2,1,1,1,0,1,0,1,1,1,2,1,0,0,1,1,0,1,1,0,0,0,2,1,0,0,0,0,2,1,1,0,0,1,0,0,2,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,1,2,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,0,1,0,0,1,1,1,0,2,2,0,0,1,1,0,2,0,2,0,0,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,1,1,1,1,1,0,0,1,2,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,2,2,0,1,0,1,1,0,1,1,1,0,1,2,0,1,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,1,1,1,0,2,0,1,0,0,1,1,0,2,1,0,1,0,2,1,0,2,0,0,1,0,1,1,2,0,0,0,0,0,0,0,0,0,1,1,0,1,2,0,0,0,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,2,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,2,0,0,0,1,2,2,0,1,0,0,0,1,0,0,0,0,1,0,1,2,0,0,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,2,2,0,1,1,1,0,0,0,1,0,1,0,0,0,0,1,0,2,2,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,2,1,1,0,1,2,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,2,1,1,0,1,0,2,0,0,0,0,0,1,1,1,0,0,0,1,1,0,1,0,2,0,0,0,0,2,0,1,0,0,0,0,1,1,0,2,1,1,1,2,0,0,0,0,1,0,1,2,1,1,0,0,0,0,1,0,0,1,1,2,0,0,0,1,1,1,0,0,0,0,1,2,0,0,0,0,0,1,0,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,2,2,1,0,1,1,1,1,1,1,2,0,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,1,1,0,2,0,1,1,1,0,0,1,0,0,2,1,1,0,0,0,0,0,1,1,0,1,0,0,0,2,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,2,0 1,0,1,2,1,0,0,1,0,1,2,1,0,0,1,0,0,1,2,1,0,0,1,1,0,1,1,1,1,1,1,0,2,1,0,0,1,1,0,0,2,0,1,1,1,1,1,1,0,2,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,2,1,0,1,0,2,2,0,0,0,1,0,1,0,0,1,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,1,0,0,2,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,2,0,1,0,0,0,0,2,0,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,0,1,1,2,0,0,1,2,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,0,2,1,0,0,0,0,0,2,0,0,1,0,1,2,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,2,0,2,0,1,1,2,0,0,1,0,0,0,0,0,1,0,1,0,1,0,2,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,2,0,2,2,0,1,0,1,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,1,0,1,0,2,1,1,0,1,2,0,1,1,1,0,0,1,0,0,2,0,0,0,0,2,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,2,0,0,1,0,0,0,1,0,0,1,1,2,0,0,1,1,0,1,1,1,1,2,0,2,0,1,0,1,1,0,1,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,2,1,0,0,0,2,1,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,2,0,1,2,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,2,0,1,0,1,0,1,0,0,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,2,2,1,0,0,1,2,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,2,1,0,0,0,0,2,0,0,1,2,0,0,0,1,0,0,0,1,1,1,0,0,0,1,2,1,0,0,1,0,0,2,0,0,0,0,0,0,1,0,1,0,0,1,1,2,0,0,1,0,1,0,1,1,0,0,1,0,2,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,2,2,0,2,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,2,0,2,1,1,0,0,0,0,1,0,0,1,2,0,0,0,0,0,1,1,2,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,2,2,0,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,1,0,2,0,0,1,0,1,0,1,1,1,2,1,0,0,0,1,0,1,0,0,0,0,2,0,1,1,1,0,1,0,0,0,2,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,2,0,0,0,1,0,1,2,1,0,0,0,1,0,2,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,2,1,1,1,2,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,1,1,0,0,0,1,0,2,0,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,1,0,1,0,0,1,0,2,2,0,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,0,2,0,0,0,0,0,2,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0 0,0,1,1,2,0,1,1,0,1,2,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,1,0,1,1,0,0,1,1,1,0,2,1,1,1,2,1,0,1,1,0,0,0,1,0,0,0,1,0,0,2,0,0,0,0,0,1,0,1,1,0,1,0,1,0,2,0,2,1,0,0,1,0,0,2,1,0,1,0,1,0,1,1,0,0,2,0,0,0,0,0,0,1,0,2,2,0,0,0,1,1,1,2,0,0,0,1,0,1,1,2,0,0,2,0,0,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,1,2,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,2,0,0,0,2,0,0,2,0,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0,2,0,0,2,0,0,0,1,0,0,0,0,1,0,2,1,0,0,2,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,2,0,2,0,0,0,0,1,1,0,0,1,0,1,2,0,1,0,0,0,1,2,1,1,1,0,0,0,0,2,1,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,2,1,0,2,1,1,0,0,1,1,0,0,2,2,0,1,2,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,1,0,0,1,1,1,1,1,0,0,0,0,1,1,2,0,0,0,2,2,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,2,0,0,0,1,0,0,1,2,1,1,1,2,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,2,0,0,1,0,0,1,1,1,0,0,0,0,1,2,1,0,0,0,1,1,0,0,0,0,1,1,1,1,0,0,1,1,0,0,2,0,0,1,2,0,0,0,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,2,2,0,1,1,1,0,1,0,1,0,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,2,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,1,0,0,1,1,1,2,0,1,1,1,1,1,1,0,2,0,0,1,1,2,2,0,1,0,0,2,0,1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,2,1,1,0,0,0,1,1,2,0,1,1,0,1,1,0,0,1,1,1,1,1,2,2,1,0,1,0,1,0,0,0,0,0,0,2,0,0,0,1,1,0,1,1,0,1,0,2,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,2,1,1,0,0,0,0,1,1,0,0,2,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,2,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,2,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,1,0,1,1,0,1,0,2,1,0,0,0,1,1,0,0,0,1,0,1,1,1,1,0,2,0,1,1,0,1,0,1,0,1,0,0,0,0,2,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,2,1,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,1,0,0,2,0,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0,0,1,1,2,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0 0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,1,0,1,0,2,0,0,0,0,0,1,0,1,0,1,1,0,0,2,0,0,2,0,0,0,1,0,1,1,0,0,0,1,0,1,0,1,2,0,0,0,0,0,0,0,1,0,0,0,0,1,2,1,0,0,1,0,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,2,0,1,0,0,1,0,1,1,2,0,1,0,0,1,0,0,1,1,0,0,1,0,2,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0,2,1,1,1,0,1,0,1,2,1,1,1,0,1,0,1,2,0,0,0,0,0,0,0,1,1,1,0,1,0,2,1,0,0,0,2,1,0,1,0,0,0,2,0,0,1,0,0,0,0,1,0,1,1,2,0,0,0,1,1,1,1,1,0,0,1,0,2,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,2,1,0,0,2,0,0,0,1,2,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,2,0,0,1,2,1,0,2,1,1,1,1,0,0,2,2,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,1,0,0,0,1,1,0,0,1,1,2,0,0,0,0,1,2,0,0,0,1,1,2,1,2,1,1,0,1,0,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,2,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,2,0,0,1,1,0,0,1,2,1,0,1,2,0,0,0,1,0,0,0,0,0,0,2,1,0,0,1,0,1,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,2,2,0,1,0,0,0,0,0,0,0,0,2,0,2,1,0,1,1,0,0,1,2,0,0,0,2,1,1,2,1,1,1,1,1,1,1,1,1,0,0,1,2,1,0,0,0,0,0,0,0,1,0,1,0,1,2,0,0,0,0,0,2,1,0,1,0,1,1,0,0,0,0,0,0,0,2,0,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,1,0,2,0,0,0,2,1,2,0,0,2,0,2,2,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,2,0,2,1,0,0,0,1,2,2,0,0,1,0,0,0,0,1,1,0,0,2,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,2,1,1,2,2,0,1,0,1,2,1,0,0,0,0,1,1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0,1,0,2,0,0,0,2,2,0,0,0,0,1,1,0,0,0,1,1,1,1,2,0,0,1,0,0,1,1,1,1,1,0,1,0,0,0,0,2,0,0,0,1,0,0,1,0,0,1,1,0,2,1,2,1,0,2,1,0,1,0,0,1,1,0,0,1,1,1,1,1,1,0,0,2,2,0,0,0,0,1,1,0,0,0,2,1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,2,0,0,0,0,0,0,1,2,0,0,0,0,2,1,1,1,0,0,1,0,1,0,1,0,0,2,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,1,0,0,0,2,1,0,0,1,1,0,1,2,0,1,1,1,1,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,0,2,1,1,0,0,1,1,0,0,0,2,0,0,0,0,0,0,2,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,2,2,2,0,0,0,1,0,1,1,0,0,0,0,0,1,0,2,2,2,0,0 0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,2,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,1,1,1,1,2,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,2,1,0,0,0,2,2,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,1,1,0,2,0,0,0,1,0,2,2,0,1,1,1,1,0,0,1,2,0,0,0,1,1,0,2,1,1,0,1,1,1,0,1,0,2,1,0,0,1,0,2,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,2,2,2,0,1,0,2,0,0,1,1,0,0,0,0,0,0,1,0,1,0,1,1,2,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,2,0,1,1,0,0,1,1,0,0,0,2,0,2,0,0,0,0,0,0,0,1,1,2,0,0,1,0,0,2,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,2,0,1,0,2,0,1,1,1,0,0,1,2,0,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0,0,2,1,0,0,0,1,0,0,0,2,1,0,0,0,0,1,0,1,0,1,1,1,1,1,0,1,0,1,0,0,2,2,1,0,0,1,1,0,1,0,2,0,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,2,0,1,0,0,2,2,0,2,0,1,0,2,0,0,1,0,1,0,0,0,0,0,0,0,1,2,0,0,1,0,1,0,1,0,0,0,2,1,1,0,1,1,1,0,0,0,1,2,0,0,0,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,1,2,0,0,1,0,0,0,0,0,0,1,0,2,1,0,1,1,0,0,0,1,0,0,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,2,0,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,1,2,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,2,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,2,1,0,1,0,1,0,0,0,0,2,2,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,2,1,0,1,0,0,2,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,1,0,1,0,2,0,0,0,0,0,0,1,1,2,0,1,2,2,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,2,0,2,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,2,0,0,2,0,1,1,0,2,1,1,0,0,0,0,1,0,1,1,1,0,2,1,1,1,0,1,1,0,0,2,2,0,0,2,2,1,0,1,1,0,0,0,0,1,1,0,0,0,1,2,0,0,1,2,0,0,1,1,0,1,0,1,0,1,2,0,1,0,0,0,0,0,0,1,2,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,2,1,1,0,1,0,2,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,2,0,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,0,0,2,0,1,1,0,1,0,2,1,0,1,1,1,1,0,0,0,0,0,1,1,2,0,0,1,0,0,1,1,0,2,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,2,0,1,1,0 0,0,0,0,2,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,2,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,2,1,1,1,0,0,0,0,0,2,2,0,0,1,0,0,0,1,0,0,0,0,1,1,2,1,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,1,1,0,1,0,2,0,1,2,0,1,1,0,0,0,0,0,2,0,0,0,1,0,1,0,0,1,1,1,0,1,0,1,1,0,1,2,1,0,1,2,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,1,2,0,2,1,0,1,0,0,0,1,0,1,0,1,0,2,1,2,0,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,2,0,1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,2,0,0,2,1,1,2,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,2,1,1,0,1,1,0,0,1,1,1,2,0,1,0,0,0,0,1,0,0,0,0,1,2,0,1,1,0,1,1,1,0,1,1,0,2,0,1,0,2,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,1,1,2,1,0,1,1,0,2,1,1,1,0,1,1,0,0,2,2,0,0,1,2,0,1,0,1,2,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,2,2,0,0,2,1,0,0,1,2,0,2,0,1,1,0,0,0,0,1,0,2,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,1,2,0,0,0,1,0,2,1,0,0,0,1,0,0,1,1,1,0,0,0,0,1,2,1,0,0,0,0,1,0,0,1,0,0,2,0,1,1,1,0,0,0,0,1,2,0,0,1,2,2,1,0,0,0,2,0,0,0,0,0,0,0,0,1,2,0,0,1,2,0,1,0,0,0,2,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,2,2,0,0,1,0,0,0,0,2,1,2,0,1,1,0,1,0,1,1,2,0,2,0,0,0,0,0,1,0,0,0,1,0,0,1,0,2,1,1,2,1,1,1,0,0,1,0,2,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,2,0,0,0,0,0,0,1,1,0,0,1,1,2,0,1,2,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,2,0,0,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0,0,2,0,1,1,0,1,2,2,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,2,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,2,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,1,1,1,0,1,0,1,0,2,0,0,1,1,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,1,1,2,1,0,1,0,1,0,0,0,1,1,0,1,2,1,2,0,1,0,1,2,2,0,0,0,1,2,1,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,1,1,0,2,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,2,1,2,0,0,1,1,0,0,1,0,0,1,2,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,1,1,2,2,1,1,0,2,1,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,2,1,0,0,0,1,0,2,1,0,0,0,0,0,0,0,1,2,1,1,2,1,0,1,0,2,1,1,1,0,0,0,0,0,0,0,0,0 1,1,1,0,1,1,0,1,0,0,2,0,0,1,2,0,0,2,0,0,1,0,0,0,1,1,2,0,0,0,1,0,1,0,0,0,1,1,0,0,2,1,0,2,0,0,0,1,1,0,2,0,2,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,2,0,2,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,2,1,1,0,0,1,0,0,2,0,0,1,1,0,1,2,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,2,1,0,1,0,1,1,0,0,1,0,0,1,0,1,1,2,0,2,0,0,1,0,1,0,0,0,0,2,1,1,0,1,0,1,0,2,1,1,2,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,1,0,1,0,2,0,1,1,0,1,1,2,0,1,0,0,0,0,1,1,0,0,1,0,2,0,0,0,1,0,0,0,2,0,0,1,0,1,2,0,0,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,2,2,0,0,2,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,2,2,0,1,1,0,2,0,1,1,1,0,2,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,2,0,0,1,1,0,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0,2,1,0,1,0,1,0,1,0,0,0,1,0,2,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,2,1,0,0,1,2,2,1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,2,1,0,2,0,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0,1,0,2,0,0,2,2,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,2,0,0,0,0,0,0,0,1,1,1,0,1,1,0,2,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,2,0,0,0,1,2,1,1,2,0,0,2,0,0,2,1,1,0,0,2,0,0,0,0,0,0,0,0,0,1,1,1,1,0,2,0,1,2,0,0,2,0,1,0,2,0,1,1,0,2,1,1,1,1,2,0,1,0,2,0,2,0,0,0,2,2,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,2,2,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0,2,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,2,2,1,1,0,1,0,0,0,0,0,1,0,2,1,0,1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,1,1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,2,0,1,0,2,1,0,1,0,0,1,1,0,0,1,1,0,0,0,1,1,2,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,1,0,0,1,2,0,0,0,0,0,0,2,1,0,2,0,0,0,1,1,0,1,0,0,2,1,0,1,0,1,0,1,1,0,0,0,1,1,0,2,0,1,1,0,0,0,1,0,1,2,0,0,0,0,2,1,1,1,1,1,0,0,0,2,0,0,0,1,1,0,1,2,0,0,2,0,0,1,2,1,0,1,1,0,1,0,1,1,0,2,0,1,1,2,0,2,0,1,0,0,1,1,0,0,0,0,2,0,1,0,2,0,1,1,1,2,1,1,0,2,1,0,1,1,0,0,0,0,1,0,0,0,0,0,2,1,2,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,1,1,0,1,1,0,0,1,2,0,0,1,0,0,2,0,1,2,0,1,0,1,1,1,2,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0 1,0,0,1,1,1,1,1,1,0,1,1,0,2,0,0,0,0,0,0,1,0,1,0,0,0,1,2,0,1,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,1,0,2,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,2,1,1,0,0,0,1,1,0,0,0,0,2,1,1,1,1,0,0,2,0,1,0,0,0,2,0,0,1,0,1,1,0,1,0,1,0,0,1,2,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,1,1,1,1,1,1,0,2,0,0,2,1,0,1,0,0,2,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,1,1,0,0,0,2,0,1,1,0,2,0,0,0,0,1,0,0,1,0,0,0,2,2,1,0,2,0,1,0,0,1,0,0,0,1,0,0,1,0,0,2,1,1,0,1,0,1,1,1,2,1,1,0,2,0,0,0,1,0,0,0,1,0,0,0,1,2,2,2,0,1,1,0,0,2,1,0,1,0,2,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0,0,2,1,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,1,2,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,2,0,1,1,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,2,1,0,0,0,2,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,2,1,1,1,1,0,1,1,2,2,0,1,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,1,1,2,0,1,0,2,1,2,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,2,2,1,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,2,0,1,1,0,0,2,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,2,1,0,0,1,0,1,0,0,2,1,0,1,1,2,0,1,0,1,0,0,1,0,0,1,1,0,2,2,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,2,0,0,0,2,2,0,0,0,1,1,0,1,0,0,0,2,0,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,2,1,1,0,1,0,2,0,1,0,1,0,0,1,0,1,0,2,0,0,1,0,0,2,0,0,0,0,1,1,1,0,0,2,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,1,0,1,0,1,0,0,0,0,1,0,1,0,2,2,0,1,0,1,1,0,0,1,0,1,0,2,0,0,1,1,1,0,1,0,0,1,1,0,2,0,1,2,0,1,2,1,1,0,0,1,0,0,0,0,1,2,0,1,0,0,0,0,0,0,1,0,1,0,0,2,1,0,0,0,0,0,0,1,0,1,2,0,1,1,2,1,0,1,1,0,0,1,1,1,0,2,1,0,0,0,0,1,0,0,1,0,2,0,1,1,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,1,1,0,0,1,2,1,0,2,2,0,0,1,1,0,1,0,0,1,1,2,0,1,1,1,1,0,1,0,1,0,2,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,2,1,0,0,0,1,0,0,1,1,1,1,1,0,2,0,0,0,0,0,0,2,1,1,1,0,0,2,0,0,2,0,0,2,0,0,0,0,1,2,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0 1,0,1,1,1,0,1,0,1,1,0,1,1,2,2,0,0,0,1,0,0,0,1,0,1,0,1,1,2,1,0,0,0,1,0,0,2,1,1,0,0,0,0,0,2,0,0,1,0,1,0,0,0,0,2,0,2,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,1,0,2,2,1,2,0,1,1,0,1,1,1,1,0,0,2,0,2,1,1,0,2,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,2,0,0,1,0,0,0,1,2,1,1,0,0,0,0,1,1,1,1,1,1,0,1,0,0,0,2,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,2,1,1,2,0,0,0,2,0,1,0,0,1,1,0,0,0,0,2,1,1,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0,2,1,2,0,0,0,0,0,1,0,0,1,2,0,0,2,0,0,0,0,2,0,1,1,0,1,0,2,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,0,1,2,2,0,0,2,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,2,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,2,0,1,2,0,0,0,0,1,0,1,0,0,2,0,0,0,1,1,1,0,0,1,1,1,1,0,2,2,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,2,0,2,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,2,0,1,0,0,0,0,1,0,1,0,0,0,0,2,1,1,1,0,0,1,0,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,1,2,1,0,0,1,1,0,0,1,0,0,0,0,0,0,2,2,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,2,1,2,0,0,0,0,1,2,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,1,1,0,2,0,0,0,0,0,2,0,1,0,1,0,1,0,0,1,1,1,0,0,2,0,1,0,0,1,0,1,0,0,2,0,1,2,1,0,1,2,1,0,1,0,0,0,0,1,0,0,2,0,0,0,0,1,2,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,0,0,0,2,0,0,0,1,2,0,1,1,0,0,1,1,0,2,0,0,0,0,0,0,1,0,2,0,1,0,0,0,1,0,1,0,0,0,2,0,1,1,0,1,0,1,0,0,0,2,0,2,2,0,0,1,0,2,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,1,2,0,0,0,0,1,1,0,2,1,1,1,0,0,1,1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,2,0,0,1,0,0,0,1,0,2,0,2,1,1,2,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,2,1,0,0,2,0,0,1,1,1,1,1,0,0,0,0,2,1,0,0,0,1,0,1,0,0,1,0,1,0,0,1,1,2,0,0,0,0,0,0,1,2,2,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0,1,2,1,0,2,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,2,0,1,0,0,1,2,1,2,0,1,0,1,2,2,1,1,1,0,2,1,1,1,0,2,1,0,0,2,1,0,0,0,1,1,1,1,0,2,2,0,0,1,1,2,0,0,2,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,2,0,0,2,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,2,0,1,1,0 0,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,2,0,0,1,0,0,1,0,2,0,0,0,2,0,0,1,0,1,1,1,0,1,1,2,1,0,0,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,2,0,1,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,0,2,1,1,0,2,0,0,1,0,0,2,1,0,0,0,1,0,0,0,2,1,1,0,2,2,1,1,1,0,0,0,0,1,0,2,1,1,1,1,0,0,0,0,1,2,1,2,0,1,0,1,1,1,0,1,0,2,0,0,0,2,1,0,1,1,0,1,0,0,0,2,0,2,0,0,0,0,1,0,0,1,0,0,0,2,1,0,0,0,0,1,0,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,2,1,0,0,0,0,0,1,0,0,1,0,0,2,1,0,1,0,0,1,1,0,1,0,0,0,2,1,0,0,0,1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,2,0,2,1,1,0,0,1,1,1,0,1,1,0,2,0,0,0,0,1,1,0,1,0,2,1,1,1,1,2,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,2,1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,1,2,0,0,1,0,0,0,1,1,2,1,0,1,1,2,1,0,1,1,0,1,1,1,1,0,2,0,0,1,0,1,0,0,2,0,1,0,0,0,1,1,1,1,1,1,0,0,1,1,2,1,0,0,0,1,1,0,2,1,1,1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,2,1,1,0,0,1,0,2,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,2,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,2,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,2,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0,2,1,0,1,1,1,0,0,0,1,1,1,1,0,1,2,1,0,2,1,0,0,0,1,0,0,0,1,0,0,0,2,2,0,0,0,0,0,0,1,2,0,0,1,0,2,1,1,1,2,0,1,2,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,2,0,1,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,2,0,1,0,1,0,0,1,1,1,0,0,0,0,1,1,2,1,0,0,0,1,1,0,0,0,1,2,0,1,1,1,1,2,1,0,0,1,0,1,1,2,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,2,0,1,0,0,1,0,2,0,1,0,1,0,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,2,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0,2,1,1,1,1,0,1,1,0,0,1,0,2,0,1,1,1,1,0,2,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,2,2,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,2,0,1,1,2,2,0,0,0,0,1,0,0,2,0,1,1,0,0,0,1,1,0,0,0,0,2,0,0,2,2,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,2,0,2,0,0,2,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,1,1,1,0 2,0,0,1,2,0,2,0,0,1,2,2,0,1,2,1,1,0,0,0,0,0,0,0,2,0,0,1,1,1,1,1,0,2,0,0,1,0,1,0,1,1,0,2,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0,2,0,0,1,0,0,0,1,2,0,0,0,1,1,0,0,0,0,0,1,1,1,1,0,1,0,0,2,1,0,0,0,0,0,2,1,2,0,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0,2,1,0,0,2,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0,1,1,1,1,0,2,0,1,0,1,1,1,1,2,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,1,0,2,0,1,0,0,0,0,0,0,1,0,2,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,2,0,1,0,0,0,0,0,2,1,0,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,2,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,1,1,2,0,0,1,2,1,0,0,0,0,1,0,0,0,0,2,0,0,1,2,2,1,0,0,0,0,1,0,1,1,1,1,0,0,0,1,0,1,2,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,2,1,2,0,0,0,0,1,0,0,1,0,1,0,0,1,0,1,2,0,1,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,1,2,1,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,1,0,0,1,1,1,2,0,0,1,1,0,0,1,0,0,0,2,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,1,1,1,1,1,1,1,1,2,2,1,0,0,0,0,2,1,0,1,0,2,0,1,0,0,1,2,2,0,0,0,1,0,0,0,0,1,0,1,2,0,0,0,1,0,2,1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,2,0,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,1,1,1,1,0,0,2,1,0,1,1,0,0,0,1,0,1,2,0,2,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,1,1,0,1,0,1,1,2,0,1,2,1,1,1,0,1,0,1,0,0,1,0,2,1,0,0,0,2,1,0,0,0,0,0,0,0,2,0,2,0,0,1,0,0,1,0,1,0,0,0,0,1,1,2,0,1,1,2,0,1,2,1,1,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,1,2,1,2,0,1,0,0,0,0,1,0,2,0,1,1,0,2,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,2,0,0,1,2,1,2,0,0,0,2,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,1,2,1,0,1,0,1,1,2,1,1,1,0,1,0,1,2,1,0,2,2,1,1,2,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0,2,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,2,1,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,1,0,2,0,0,0,1,0,0,1,0,1,1,2,1,0,1,1,0,0,1,1,1,0,0,2,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,2,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0 0,0,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,1,0,0,2,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,2,1,0,0,0,1,1,1,1,0,1,0,0,0,0,0,2,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,2,0,0,1,1,0,0,0,1,2,1,1,0,0,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,1,1,1,2,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,0,2,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,1,1,2,0,0,1,1,2,1,2,0,0,0,0,0,0,1,1,1,1,0,0,1,0,1,0,1,2,2,1,0,1,0,0,1,1,0,0,1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,2,0,1,2,0,1,0,1,0,0,2,1,2,2,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0,0,0,1,0,2,1,0,1,1,1,2,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,2,2,0,0,2,2,0,0,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,2,1,0,0,0,1,1,0,2,0,1,1,2,1,1,0,1,0,0,0,0,0,2,0,1,1,1,0,2,1,0,2,0,2,2,0,0,0,0,0,1,2,1,1,0,0,1,0,0,0,1,1,0,1,0,0,2,1,1,0,0,0,1,0,1,2,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,2,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,1,0,1,1,1,2,0,1,2,0,0,1,2,1,1,2,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,2,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,2,0,1,1,0,1,1,1,1,0,0,0,1,2,1,2,1,0,0,1,0,1,0,0,0,1,1,1,1,1,0,2,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,2,1,0,0,2,1,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,0,1,1,0,0,0,1,1,0,0,2,1,0,1,2,0,0,1,0,0,0,1,1,2,0,1,0,0,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0,2,0,0,0,0,0,1,1,1,1,0,0,2,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,2,0,1,1,0,0,0,0,2,1,1,0,0,1,1,1,0,2,0,0,1,0,0,1,0,1,0,0,1,1,0,2,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0,2,1,0,0,1,2,0,0,0,2,0,0,1,0,1,1,0,0,1,1,2,0,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,2,1,0,0,1,0,0,0,0,0,1,1,2,1,0,1,2,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,1,1,0 0,0,1,1,2,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,1,0,0,1,1,0,0,1,2,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,2,2,2,0,0,1,0,1,0,0,1,0,2,0,1,2,1,0,2,0,1,0,1,1,1,1,1,0,1,0,0,0,0,1,1,2,0,1,0,0,1,0,2,0,1,1,1,0,0,1,0,1,2,0,1,0,0,1,0,1,1,0,1,2,1,0,0,0,0,2,0,2,0,0,0,1,2,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,2,0,0,0,0,1,0,1,2,1,1,1,0,0,2,1,0,1,0,1,0,0,0,0,0,1,2,0,0,1,1,0,1,1,0,0,2,1,1,0,2,1,0,1,0,1,1,0,1,2,0,0,0,1,1,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,1,1,1,0,1,1,0,1,0,2,0,0,2,0,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,2,0,0,0,1,0,1,1,2,0,1,0,2,1,0,0,0,1,0,0,0,0,1,1,0,2,0,0,0,1,1,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,2,0,0,0,1,1,0,0,0,1,0,1,2,0,0,2,0,1,0,0,1,0,1,1,0,0,0,2,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,1,2,0,0,0,0,0,0,1,1,0,0,2,0,0,1,1,0,1,0,0,0,1,0,0,2,0,1,0,1,0,2,1,0,1,1,0,0,1,0,0,0,2,0,2,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,2,0,2,0,1,0,0,2,1,0,0,0,0,1,2,1,2,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,2,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,1,2,2,1,0,0,2,2,0,0,1,0,0,2,2,0,0,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,2,0,0,1,1,2,1,2,1,0,0,0,0,1,2,0,1,2,0,0,0,0,0,0,1,0,2,2,0,0,1,1,0,2,1,1,1,2,0,0,1,0,0,1,2,0,0,0,0,0,0,1,1,1,0,0,0,2,0,0,1,0,1,0,1,0,0,1,1,0,2,0,0,0,2,0,2,0,2,0,0,0,0,0,0,2,2,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,2,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,1,0,1,2,0,0,0,0,0,0,2,0,0,0,1,1,1,0,1,2,0,1,1,0,1,0,0,1,2,1,1,2,1,0,0,0,1,2,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,1,1,0,2,1,1,1,0,0,0,1,1,0,2,0,0,1,0,0,2,1,0,0,0,2,1,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,2,1,0,0,1,0,2,1,1,1,1,0,0,0,0,0,2,1,0,0,0,1,0,2,2,0,0,0,1,0,0,0,1,0,1,0,1,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0 1,0,2,2,0,0,0,1,1,1,1,0,0,1,2,1,0,1,1,0,0,0,1,1,1,1,2,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,2,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,1,0,1,2,0,1,2,1,0,0,0,1,2,0,0,2,1,1,0,0,0,0,0,2,0,1,0,2,0,0,2,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,2,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,1,2,0,0,0,1,0,1,1,0,1,0,1,1,0,2,0,0,1,1,2,0,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,2,1,1,0,1,1,0,0,0,0,1,2,1,1,0,0,0,0,1,1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0,2,0,0,1,0,1,0,2,0,2,0,0,0,1,2,1,0,0,2,0,0,0,0,0,0,1,2,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,2,2,1,2,0,0,0,2,1,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,1,2,1,0,0,0,0,0,1,1,0,2,0,0,2,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,2,0,0,0,1,1,1,1,0,0,0,1,1,0,1,1,2,2,0,0,1,1,1,0,0,1,0,2,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,2,2,1,1,1,0,0,0,0,0,1,2,1,0,0,0,2,2,0,0,0,0,0,0,0,1,1,1,1,0,0,2,0,1,1,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,1,0,0,0,0,0,2,0,0,2,0,1,1,0,1,1,1,0,0,0,0,0,1,0,2,0,0,1,0,0,0,2,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,1,0,2,0,2,0,0,0,2,0,0,1,1,1,0,1,2,0,0,0,0,0,0,1,2,0,2,1,1,0,0,0,1,0,1,0,0,2,0,0,1,0,0,2,1,1,2,1,1,1,1,2,2,0,1,1,1,0,1,2,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0,2,1,0,2,1,0,0,0,1,2,1,0,1,2,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,2,0,0,0,1,2,1,0,1,2,0,0,0,0,1,0,1,0,1,0,1,0,0,1,0,0,2,0,0,0,1,0,1,1,2,0,0,0,1,0,0,0,0,1,0,2,0,0,1,0,0,2,0,0,0,0,0,2,0,0,1,1,0,1,0,2,0,1,2,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,2,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,1,1,0,2,1,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,1,1,1,0,2,0,0,0,0,1,1,0,2,0,1,0,0,0,2,2,2,1,0,0,0,0,0,1,1,2,1,1,0,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,2,0,2,1,1,0,0,1,0,2,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,2,1,0,0,1,0,2,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,1,2,1,0,2,1,0,2,0,1,0,0,0,1,0,0,0,1,1,1,1,0,1,1,2,1,0,0,0,0,1,0,0,1,0,1,2,1,1,0 1,0,0,2,2,0,1,1,1,0,1,1,1,1,2,1,0,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,2,0,0,1,0,0,0,2,2,0,0,0,1,0,0,0,0,1,0,0,0,1,1,2,1,1,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,2,1,1,0,0,0,0,0,2,2,1,1,0,0,0,2,1,0,0,0,1,0,0,2,0,1,0,1,1,2,0,0,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,2,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,0,2,2,0,0,1,1,1,0,2,1,1,0,2,1,0,0,0,0,0,0,2,1,2,1,2,0,0,0,0,0,1,0,0,1,0,0,0,2,1,0,0,0,1,1,0,2,1,0,0,0,0,0,1,1,0,0,0,1,1,0,2,1,0,0,0,0,1,2,1,2,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,2,1,1,1,0,0,2,1,1,0,1,0,0,1,0,1,0,2,0,0,2,0,0,1,0,1,0,2,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,2,1,0,0,1,1,1,0,2,1,0,0,1,0,0,0,0,0,1,2,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,2,0,0,0,2,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,1,2,1,1,0,0,1,0,0,0,1,1,0,0,1,0,1,1,0,2,1,0,1,0,0,2,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,1,2,1,0,1,1,1,0,1,0,1,2,0,0,1,0,2,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,0,1,1,2,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,2,0,1,0,0,0,0,2,2,0,0,0,0,1,1,0,1,0,0,0,1,2,0,1,1,2,0,0,1,1,0,0,2,1,1,1,1,0,1,2,0,1,1,2,2,1,1,1,1,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,1,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,2,1,0,0,2,0,1,0,0,1,1,1,0,2,0,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,1,1,1,0,2,2,0,0,0,0,1,1,0,2,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,2,0,0,0,0,0,1,0,1,0,1,0,0,1,2,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,2,0,0,2,1,0,0,0,1,1,2,0,2,0,0,1,1,0,2,0,2,0,0,1,0,1,1,2,0,0,2,0,1,1,1,2,1,0,1,1,1,1,0,0,0,2,1,0,0,1,0,1,0,1,1,1,0,1,1,1,2,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,2,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,2,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,2,1,0,0,0,2,1,0,0,0,0,0,0,0,2,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,2,2,1,0,0,0,0,1,1,0,1,1,1,2,2,1,0,0,0,1,0,0,1,0,1,0,1,1,0,1,1,1,2,0,1,2,1,0,1,0,0,1,0,0,0,1,1,1,1,0,0,0 0,0,1,0,2,0,0,0,0,2,2,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,2,2,0,0,0,0,1,2,0,0,1,1,0,2,1,1,2,0,1,0,0,1,0,2,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,2,0,1,0,1,0,1,1,0,0,1,0,1,1,2,0,2,0,1,0,1,2,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,1,2,0,1,0,0,0,0,2,1,1,1,1,1,2,1,0,0,1,2,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,2,0,1,2,0,0,0,0,0,0,1,1,0,0,1,1,2,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,1,2,1,1,0,2,1,0,0,2,1,0,2,0,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,0,0,0,2,0,2,0,1,0,0,0,0,0,0,0,0,2,1,1,0,0,2,1,1,0,1,1,1,1,1,0,0,0,2,1,0,0,1,1,0,0,1,0,1,2,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,1,2,0,2,0,2,0,0,1,0,0,0,0,1,0,1,0,0,0,1,2,0,0,0,1,1,0,0,2,1,1,0,0,1,1,2,0,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,1,2,0,1,2,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,2,1,2,2,2,0,0,1,0,2,0,0,2,2,0,1,0,0,0,1,0,1,0,1,0,2,0,0,0,2,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,2,0,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,1,2,1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,1,0,2,1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,2,2,0,0,1,1,1,0,1,1,0,0,0,1,0,1,1,2,1,1,0,0,0,1,1,1,0,2,1,0,0,0,1,0,0,0,2,2,0,0,1,0,1,0,0,1,2,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,1,0,0,1,1,0,2,0,0,0,2,1,0,0,1,1,1,0,0,0,2,0,1,0,1,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,1,0,1,0,2,0,1,0,2,1,1,0,1,1,1,0,0,0,0,1,0,1,2,1,1,2,0,0,1,1,1,1,1,0,0,1,0,2,0,2,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,2,2,2,1,0,1,1,1,0,1,0,1,0,1,1,1,0,2,0,1,1,0,1,0,1,0,0,0,1,0,1,2,0,0,1,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,2,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,2,1,1,1,1,1,2,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0,2,0,0,0,0,0,1,0,0,1,2,0,0,0,1,0,0,0,2,0,0,2,0,0,1,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,2,1,0,1,0,1,0,1,2,0,0,1,0,1,1,1,0,2,0,1,1,0,2,0,0,1,0,2,1,0,2,0,0,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,1,2,0,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,2,0,0,0,0,1,2,0,2,0 0,0,1,1,0,0,1,0,1,1,2,1,1,2,1,0,0,1,1,0,0,1,0,0,0,2,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,2,0,0,1,0,1,1,0,0,1,0,0,2,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,2,1,0,0,1,2,0,0,0,0,0,0,1,0,2,0,2,0,2,1,0,0,0,0,1,0,1,0,0,2,1,1,1,0,0,0,1,2,1,2,0,1,1,2,0,1,0,1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,2,1,1,1,0,0,0,1,1,0,1,0,0,0,1,1,1,2,1,0,0,2,1,0,0,0,0,0,1,1,1,0,1,0,2,0,0,1,0,0,1,0,0,0,0,0,0,1,1,1,2,0,1,0,0,0,0,1,0,1,0,0,1,2,1,0,0,0,0,0,1,2,0,1,2,2,0,0,0,0,0,1,1,0,1,0,2,0,1,0,0,0,0,0,1,0,2,1,0,1,0,0,0,0,0,2,0,0,0,0,0,2,1,0,1,0,2,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,1,1,0,0,0,2,0,1,0,0,0,0,2,0,0,0,1,0,0,2,0,0,1,0,0,0,2,0,1,0,0,0,0,2,1,0,1,0,0,1,1,1,1,0,0,0,1,2,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,2,0,0,0,0,0,0,0,0,1,2,0,0,1,2,0,0,2,1,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,2,0,0,1,0,0,1,2,1,0,1,0,0,1,0,0,0,2,1,0,0,1,0,1,1,2,0,0,0,0,0,2,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,2,1,0,1,0,0,0,0,0,1,1,2,2,0,0,1,2,1,0,1,1,0,0,1,1,2,0,0,0,0,0,0,0,0,1,0,0,2,1,2,0,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1,1,2,0,0,0,2,0,1,1,1,0,0,0,0,0,2,1,0,0,0,1,0,1,1,2,0,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,2,2,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,2,0,1,0,2,0,1,2,0,1,1,1,0,2,2,2,0,0,0,0,2,1,0,2,0,1,1,1,0,0,1,0,0,1,0,2,0,0,0,0,2,1,0,1,2,0,1,1,0,1,2,1,0,0,2,0,2,2,0,0,1,0,0,0,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,1,2,2,1,0,2,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,2,0,0,1,1,0,1,0,1,2,0,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,1,1,0,2,0,0,0,1,0,1,1,2,1,1,1,1,0,0,2,0,0,1,1,1,0,0,2,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,1,0,1,0,1,2,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,2,0,0,0,1,1,0,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,1,2,0,0,0,0,1,1,0,0,2,0,1,0,1,2,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0 0,0,1,2,0,1,0,0,0,1,2,1,2,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0,2,0,1,0,1,0,0,0,1,0,0,2,2,2,1,1,0,2,0,0,1,1,1,0,2,0,0,2,1,0,1,1,1,2,0,2,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,2,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,2,2,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,2,1,1,1,0,1,2,1,2,0,2,0,0,1,1,0,2,0,1,0,1,2,0,0,1,2,0,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,2,0,0,2,1,2,1,2,0,1,1,2,0,1,1,1,0,0,1,1,2,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,2,1,1,0,1,0,1,1,0,2,1,1,0,0,1,1,1,2,0,0,0,2,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,2,2,0,0,1,0,0,1,0,0,0,1,2,1,0,2,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,2,1,0,0,2,0,0,0,0,2,0,2,0,1,0,0,0,0,0,1,0,1,0,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,1,0,0,1,2,0,2,1,2,1,0,0,0,1,1,0,2,0,0,1,2,1,0,0,2,0,1,1,0,1,0,0,0,2,1,0,1,0,1,2,1,0,1,1,0,0,1,0,0,1,2,0,1,0,0,2,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,2,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,2,0,1,0,0,0,0,1,0,0,0,2,1,0,0,2,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0,2,0,1,0,0,0,1,0,0,1,1,0,0,0,1,0,1,1,1,2,0,0,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,2,1,0,0,0,1,2,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,2,0,1,2,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,2,0,1,0,0,0,0,1,2,0,0,1,1,1,1,0,0,1,0,0,0,2,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,2,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,1,1,1,0,1,2,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,2,1,0,0,1,1,0,0,0,0,0,1,0,0,2,0,2,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,1,2,2,0,1,0,0,1,0,1,1,1,1,0,0,2,1,1,0,0,0,0,1,1,2,2,0,1,1,1,1,0,0,1,1,0,0,1,2,2,1,0,0,2,0,0,0,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,1,0,2,0,0,1,0,2,0,1,0,0,1,0,0,0,0,1,0,0,2,0,0,1,1,2,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,1,1,1,1,1,2,2,1,1,1,2,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,2,0,2,0,0,2,0,1,0,0,0,1,0,0,1,0,1,2,1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,1,1,2,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0 1,0,1,1,2,0,0,1,2,0,1,1,1,2,1,0,1,2,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,2,1,0,0,1,2,0,1,2,0,0,1,2,0,2,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,2,1,0,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,2,0,0,0,1,2,0,0,1,0,1,0,1,0,2,1,0,1,1,1,0,2,0,1,2,0,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,2,2,0,1,2,0,0,1,1,1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,0,1,0,1,2,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,2,1,1,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,2,1,0,1,2,1,2,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0,1,2,0,1,1,1,2,0,2,0,1,0,0,2,1,1,0,0,1,0,0,2,0,0,0,0,2,2,0,0,0,0,0,0,0,0,1,0,0,1,1,1,2,0,1,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,1,2,0,0,0,2,2,0,0,0,1,2,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,2,0,0,1,0,1,0,0,1,0,1,1,1,1,1,2,0,2,0,0,0,1,0,0,1,2,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,2,0,0,0,1,0,0,2,2,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,2,1,1,1,2,1,0,1,1,1,0,1,0,1,1,2,0,2,1,0,2,0,2,0,1,1,1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0,1,0,2,0,1,1,0,0,2,0,0,0,0,0,0,1,1,2,1,0,0,0,0,0,1,0,0,0,2,1,0,1,2,0,1,0,0,1,1,1,0,1,0,1,0,1,2,1,0,1,0,0,1,1,2,0,0,0,0,0,1,0,0,0,0,1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,1,0,1,1,0,0,2,0,1,0,0,0,1,2,0,1,1,0,1,1,1,1,0,2,0,2,0,0,1,0,0,0,0,0,1,1,1,2,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,2,0,1,1,1,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,2,0,0,1,1,2,0,0,0,0,0,0,1,0,0,0,0,1,1,0,2,0,1,2,1,0,1,2,0,0,0,1,0,1,0,1,0,2,1,0,0,1,0,0,0,1,2,1,1,0,0,0,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,2,1,0,1,0,1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,2,1,1,0,0,0,0,1,1,1,2,1,0,1,0,2,0,1,2,0,1,0,2,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0 0,0,1,0,1,0,0,1,2,1,0,1,0,1,1,0,0,0,0,0,0,0,2,0,1,1,1,2,1,2,0,0,1,1,0,0,0,1,0,0,0,1,1,2,1,0,0,0,0,1,2,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1,2,2,1,0,0,0,1,2,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,2,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,1,2,1,0,0,0,0,2,0,0,0,1,1,0,0,1,0,2,0,1,1,0,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,2,1,0,1,0,0,0,2,1,1,2,0,1,0,0,1,0,1,0,0,1,1,0,0,2,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,1,1,1,0,0,2,1,0,0,0,1,1,0,0,0,1,0,1,1,1,1,0,1,1,0,1,1,1,0,0,1,0,1,2,0,0,0,1,0,0,0,0,0,1,0,2,1,0,0,1,1,0,0,1,1,1,0,1,1,2,0,0,0,1,0,2,0,1,0,1,0,1,1,0,0,1,0,0,0,1,2,0,0,0,1,1,0,1,0,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,2,1,1,1,0,1,1,2,0,1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,1,1,0,1,2,1,0,0,0,2,0,1,1,0,1,2,0,0,1,0,1,0,1,1,0,0,0,1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,2,0,1,0,0,0,2,0,0,0,1,0,1,0,1,1,0,1,2,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,2,0,0,0,2,1,0,2,1,2,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,2,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,2,2,0,0,0,0,1,1,2,1,0,0,1,0,0,2,0,0,0,0,1,1,2,0,1,1,0,1,0,2,2,1,0,2,2,1,2,1,0,0,1,0,1,2,0,0,2,0,1,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,2,0,1,0,2,1,0,1,1,0,0,2,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,2,1,0,0,0,1,0,2,1,1,1,0,1,0,0,0,1,1,1,0,0,1,1,0,2,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,2,2,1,2,0,0,0,1,0,0,2,1,0,2,0,0,0,1,1,1,0,1,0,0,1,1,0,2,1,1,0,0,0,2,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,1,1,0,2,1,0,0,0,0,0,0,0,1,1,0,1,0,1,1,2,0,0,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,1,0,0,0,2,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,2,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,2,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0 2,0,0,0,1,0,0,1,1,1,1,0,2,1,0,1,0,1,0,0,0,1,0,0,2,0,0,1,0,1,1,0,2,1,0,0,1,0,1,0,0,2,1,1,1,0,0,1,0,1,1,0,0,1,1,0,2,1,0,2,0,0,0,0,0,1,1,2,0,0,2,0,0,0,1,0,1,1,0,0,0,0,1,2,1,0,2,1,0,0,2,0,0,0,0,1,1,0,2,0,0,2,0,1,2,2,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,2,1,0,0,1,1,0,0,1,1,1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,2,2,2,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,2,1,1,1,1,1,0,0,2,1,1,0,0,0,1,0,1,0,0,0,1,0,0,0,2,0,2,1,0,0,2,2,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,0,0,1,0,1,1,0,2,0,0,1,1,2,1,0,0,0,1,1,0,0,1,0,0,1,0,2,1,0,1,1,0,1,0,0,0,0,2,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,2,2,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0,0,2,0,0,1,1,2,0,0,0,0,0,1,1,1,1,0,2,0,0,0,2,1,2,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,2,1,1,2,2,0,0,0,1,0,1,0,0,0,0,0,0,2,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,1,2,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,1,2,0,1,0,1,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,2,0,0,1,0,0,1,0,1,2,1,0,0,0,0,0,0,0,2,0,0,1,1,1,2,2,1,0,0,0,1,0,1,1,0,0,1,2,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,1,1,1,1,1,0,2,1,1,0,2,1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,1,0,1,1,1,1,1,0,0,1,0,1,1,0,1,0,1,1,2,1,0,0,0,2,0,1,1,0,1,0,0,1,2,1,0,2,0,1,0,2,0,1,0,0,2,1,0,2,0,0,1,2,2,0,1,0,1,0,0,0,1,0,0,0,2,0,0,1,1,1,1,0,1,0,1,0,1,1,0,1,0,2,1,2,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1,1,0,1,0,1,1,2,0,0,0,1,0,1,0,0,0,1,0,0,1,1,0,1,0,1,0,0,1,1,1,0,1,0,1,1,0,0,0,1,1,1,1,2,0,0,1,0,1,1,0,0,1,0,2,1,1,0,0,0,1,1,1,0,1,1,0,2,1,0,1,0,2,0,1,0,0,0,0,0,2,0,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,1,2,0,1,0,1,0,0,0,0,1,0,0,0,0,1,2,0,0,2,1,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,2,2,0,1,0,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,2,0,0,1,0,2,0,1,2,1,0,1,0,0,2,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0 1,0,1,0,1,0,1,1,1,2,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,2,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,2,0,1,1,1,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,2,0,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1,1,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,2,0,1,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,2,1,1,0,1,0,2,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,2,2,0,1,0,0,1,0,1,0,2,1,0,1,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,1,1,2,1,1,0,0,2,1,1,0,0,1,0,0,1,0,0,1,1,1,2,0,1,1,1,0,1,2,0,1,1,0,1,0,0,0,1,0,0,0,1,2,1,0,1,0,0,1,2,0,0,0,0,2,1,0,0,0,0,0,1,0,1,0,0,0,1,2,0,1,2,1,1,1,0,1,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,1,0,2,1,1,0,0,1,0,2,0,0,0,1,0,0,0,2,0,2,0,2,0,0,1,1,0,1,1,0,1,1,2,0,1,1,1,0,0,1,0,0,0,0,2,0,1,2,0,2,2,1,1,1,2,0,1,0,0,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,2,1,0,0,1,0,2,0,0,2,1,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,1,0,2,0,1,0,0,0,0,1,1,1,2,0,0,0,0,0,0,2,1,0,1,2,0,0,0,0,0,2,2,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,1,0,2,0,1,0,1,2,0,1,0,1,0,0,0,1,1,2,0,2,0,0,2,0,1,1,1,1,0,0,0,2,1,0,1,0,1,0,2,0,0,1,0,0,1,2,1,0,2,0,0,0,0,1,1,1,2,2,0,0,1,0,2,0,0,0,1,0,1,2,0,0,1,1,1,0,1,2,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,2,0,2,1,2,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,2,1,0,0,0,0,0,2,1,0,1,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,1,1,1,2,0,0,0,0,0,0,1,2,1,0,1,0,2,1,0,1,1,0,1,0,0,1,1,0,0,2,0,1,0,1,0,0,0,2,1,0,2,1,1,2,1,1,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,1,0,0,0,0,2,1,0,0,1,1,1,0,0,0,0,0,1,1,2,2,1,1,2,0,0,1,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,2,1,0,0,2,0,2,1,1,2,1,0,0,1,1,0,1,1,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,1,0,0,2,1,2,1,1,1,0,0,0,2,2,0,1,0,2,0,0,0,0,1,0,0,0,0,1,2,1,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,1,1,1,0,0,1,0,0,2,0,1,1,1,1,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0 1,0,2,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,2,1,0,0,1,1,1,0,0,2,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,1,0,0,0,0,0,2,2,0,1,1,0,0,0,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,2,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,2,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,1,1,0,0,2,0,0,0,1,0,1,1,0,0,1,0,1,2,0,2,1,0,1,0,0,0,1,1,0,1,1,0,1,0,1,1,0,2,1,1,1,0,0,0,0,0,0,0,1,1,2,1,0,2,0,1,1,0,0,1,2,1,0,1,0,0,0,0,0,0,0,2,0,0,2,0,1,0,1,0,1,0,2,0,0,2,1,0,0,0,0,2,1,0,0,1,0,0,1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,2,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,2,0,1,1,0,0,2,0,0,1,0,0,1,0,1,0,1,2,1,2,0,0,0,0,1,0,0,0,0,0,0,0,2,1,1,1,1,2,0,0,1,0,0,0,0,1,0,2,1,1,0,1,1,2,2,0,1,0,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,1,2,1,0,1,0,1,2,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,2,1,2,1,2,1,0,1,1,0,0,1,2,0,0,0,0,2,0,0,1,1,1,0,0,0,1,0,1,1,0,2,1,0,0,1,0,2,0,1,0,0,1,0,0,0,0,2,0,1,2,1,1,0,0,0,0,1,0,0,1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,1,0,1,1,0,1,2,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,2,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,2,1,1,1,0,0,0,0,0,1,0,1,1,0,2,1,0,1,1,2,1,0,1,1,1,1,0,0,1,0,0,2,1,1,0,0,1,0,0,0,1,2,1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,2,1,0,1,0,2,0,0,1,0,2,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,2,0,1,0,0,0,1,1,0,1,2,0,0,0,1,0,0,2,1,1,2,0,1,1,1,1,2,2,0,2,0,1,1,1,0,1,1,2,0,1,1,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,2,0,2,0,0,0,0,0,0,0,2,0,2,1,0,1,0,0,1,0,1,0,0,1,1,1,0,2,1,1,1,2,1,0,0,0,0,2,0,1,1,0,2,2,1,0,1,0,1,0,1,2,0,0,0,2,1,1,0,1,0,2,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,2,0,1,0,2,1,1,1,0,0,2,0,0,2,2,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,2,0,0,0,0,0,2,1,0,2,0,1,0,0,2,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,1,0,0,0,2,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,2,0,2,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,1,0,0,2,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,2,0,0,0,2,2,0,0,0,1,0,2,0,0,0,1,1,0,0,0,1,0,2,1,0,0,0 0,0,1,1,0,0,0,2,2,2,1,1,0,1,0,0,0,1,1,0,0,2,0,0,1,0,1,0,0,0,1,1,2,0,0,1,0,1,0,0,0,0,1,0,2,0,1,2,0,1,2,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,1,2,1,0,0,1,0,1,0,0,0,0,0,0,2,1,1,0,0,0,1,2,1,0,1,0,0,0,0,0,2,0,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,2,2,2,1,0,1,1,1,0,0,0,2,1,1,0,0,2,1,0,2,0,2,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,2,0,0,1,0,1,1,1,1,0,0,0,0,0,2,1,1,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,2,2,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,2,0,0,1,1,0,0,1,2,0,1,0,0,0,1,0,0,2,1,0,0,2,1,1,0,2,1,2,1,0,1,0,1,0,0,0,2,0,2,0,0,0,0,2,1,1,2,1,2,0,0,0,1,0,1,2,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,2,1,0,1,0,0,2,1,1,1,1,2,1,1,1,0,2,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,2,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,0,2,0,1,0,0,1,1,1,1,1,0,0,1,1,1,0,0,2,0,1,0,0,0,0,0,0,0,1,2,0,0,0,1,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0,2,2,2,0,0,1,0,0,0,0,0,0,2,0,0,0,1,1,1,0,1,2,0,1,2,0,1,0,2,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,2,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,1,1,1,2,0,0,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,2,0,0,2,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,2,1,0,1,0,0,1,0,0,1,1,2,0,0,1,0,0,0,2,1,1,0,0,1,1,0,0,1,1,1,2,1,1,0,1,0,0,0,0,2,1,0,1,0,0,0,1,2,2,1,2,1,0,0,2,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,2,1,0,0,1,0,1,0,0,1,1,1,0,0,1,2,0,0,1,2,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,2,1,2,0,1,1,0,1,0,0,0,0,0,0,0,1,0,2,0,1,0,2,0,1,0,1,0,2,0,1,0,0,0,0,0,2,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,1,1,1,0,0,1,1,2,0,0,0,1,1,0,2,2,0,2,2,1,1,0,1,0,0,0,1,1,2,1,1,0,0,0,0,0,1,1,0,0,2,0,2,0,1,1,1,0,0,0,2,0,1,1,1,1,1,1,1,1,0,2,0,0,2,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,2,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,2,1,0,0,0,1,1,1,1,0,0,0,2,0,1,1,1,0,1,1,2,0,1,1,0,1,2,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,2,0,1,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0,2,0,1,1,0,2,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,1,1,1,2,0,1,0,2,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0 1,0,1,1,0,1,1,0,0,1,2,0,0,1,1,1,0,1,1,0,0,0,1,0,1,2,1,2,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,1,1,2,0,1,2,0,0,0,0,1,2,0,2,1,0,0,0,0,1,1,0,2,0,0,0,0,1,1,1,1,1,0,0,2,0,1,1,0,0,0,0,1,0,1,0,1,0,0,1,1,1,0,2,0,0,0,0,0,0,0,2,0,1,1,0,1,0,1,0,0,0,0,1,2,0,1,0,0,2,0,1,0,0,2,0,2,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,1,2,0,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,2,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,1,2,0,1,1,0,0,1,1,0,2,0,1,0,2,0,0,0,0,2,1,1,0,1,1,1,1,0,1,1,0,0,2,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,1,1,1,0,1,0,0,2,1,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,1,1,1,1,1,0,0,0,0,2,1,0,0,2,1,0,2,1,0,0,1,2,1,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,2,1,0,1,2,1,0,0,0,1,2,0,1,2,0,0,2,1,0,0,0,1,1,0,1,1,1,2,1,0,1,1,2,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,2,0,1,1,0,0,0,1,0,1,0,0,1,1,2,1,0,0,0,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,2,0,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,2,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,2,1,2,0,1,1,1,0,1,0,0,0,0,2,2,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,2,0,0,0,1,1,1,2,0,1,1,0,0,1,0,1,0,2,0,2,0,0,0,1,0,1,1,0,1,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,2,0,1,1,1,1,1,1,2,0,1,0,0,0,0,1,1,2,1,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,2,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,2,0,1,1,0,0,2,2,0,1,1,2,2,2,2,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,2,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,1,0,2,2,1,0,0,1,0,1,0,1,1,0,0,0,2,1,2,1,0,0,0,1,0,0,0,0,1,1,0,1,1,1,2,0,0,0,1,1,0,1,2,0,0,0,0,0,1,0,1,0,0,0,1,0,0,2,0,0,0,1,0,0,1,0,0,0,1,0,2,0,0,1,0,0,0,0,2,0,1,1,0,0,0,2,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,1,2,0,0,1,2,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0 1,0,0,2,1,0,1,0,0,2,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,2,0,2,0,1,0,2,1,1,0,0,1,0,0,2,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,0,1,1,2,0,0,0,0,0,0,0,1,1,2,1,1,1,1,2,2,0,0,2,0,2,0,1,0,1,2,0,1,1,0,0,1,0,2,0,1,0,1,1,1,0,0,1,1,0,0,0,2,0,0,0,1,0,1,0,1,0,0,1,1,2,0,0,1,1,0,0,1,0,1,0,0,0,0,2,0,0,1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0,1,0,0,1,0,2,0,2,1,2,1,1,0,2,0,0,1,0,0,0,0,0,0,1,1,0,2,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,2,1,2,1,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,1,0,0,1,0,1,0,2,1,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,2,1,0,2,2,0,1,2,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,2,0,2,1,2,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,2,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,1,1,1,0,1,1,1,2,0,0,1,0,1,1,0,1,0,0,1,0,0,2,0,2,0,2,0,0,0,2,0,0,1,0,1,0,0,1,1,0,1,2,0,2,0,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,1,1,0,0,0,2,1,1,1,1,1,1,0,0,0,0,2,0,0,1,1,0,0,0,0,2,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,2,1,1,0,0,0,1,0,1,1,0,0,1,1,1,2,0,2,1,1,1,0,0,0,0,1,0,1,1,0,1,0,2,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,2,0,0,0,1,1,2,0,1,1,0,0,0,0,0,1,2,0,1,2,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,2,1,0,0,0,0,1,0,2,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,1,2,1,2,0,2,0,1,0,1,1,1,1,1,2,1,1,2,1,1,0,0,0,0,1,0,2,0,0,0,0,0,2,1,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,2,0,2,2,1,0,0,1,1,0,0,0,0,2,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,2,0,1,0,0,1,0,1,2,0,2,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,2,0,2,2,0,0,1,1,0,0,2,0,1,1,2,0,0,0,0,1,2,0,1,0,0,1,1,0,0,0,2,0,0,0,0,1,1,1,0,0,0,1,0,1,2,1,1,0,1,2,1,0,1,1,0,2,0,0,0,1,0,0,1,1,0,2,0,0,1,2,1,0,1,1,0,1,0,0,0,1,2,1,1,0,1,0,1,1,0,1,0,0,0,0,0,2,1,0,0,0,0,2,2,0,1,1,0,0,1,2,0,1,1,1,1,0,0,0,1,0,1,0,1,2,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,2,0,0,1,0,0,1,0,0,1,1,1,0,1,2,2,2,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0 1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,1,1,0,1,2,0,0,1,0,0,0,0,1,0,2,0,0,1,0,1,0,1,0,0,0,1,0,0,2,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,2,1,1,0,0,0,1,1,1,1,0,1,0,0,2,0,0,0,1,1,2,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,1,2,1,0,0,1,1,1,0,0,2,1,1,0,1,1,0,1,1,0,2,0,0,1,0,2,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,2,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,1,1,0,2,1,0,0,0,0,0,1,1,0,0,1,0,1,1,2,0,0,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,1,1,2,0,1,0,0,0,0,0,1,1,1,1,0,2,0,1,0,1,0,0,1,2,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,2,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,1,1,1,0,0,0,0,1,1,2,0,0,1,1,1,1,0,0,0,0,1,2,0,0,1,2,0,2,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0,1,1,2,1,0,1,0,1,2,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,2,0,1,0,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,2,1,1,2,2,0,1,2,1,0,1,0,1,0,1,0,0,0,1,0,0,2,0,0,0,1,1,0,1,2,0,1,0,1,2,2,0,0,0,0,0,0,0,1,0,1,1,2,0,0,1,1,0,1,0,2,0,0,1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,2,2,2,0,0,0,0,0,2,0,1,0,0,1,0,0,0,1,1,2,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,2,1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,1,1,2,0,2,0,1,1,1,2,0,1,1,0,0,0,1,2,0,0,2,0,0,0,0,0,0,1,2,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,2,0,0,1,1,1,0,2,0,0,1,1,0,1,0,0,2,1,0,0,0,0,1,0,1,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,2,1,0,2,0,0,0,2,0,1,0,2,1,1,0,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0,0,1,1,1,2,0,0,0,0,1,0,1,0,1,1,1,2,0,0,2,2,1,1,0,1,0,1,1,1,0,1,2,0,1,1,1,0,2,1,0,0,1,1,2,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,2,0,0,0,2,0,1,1,1,0,0,0,0,2,0,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,2,1,0,0,0,0,0,2,2,0,1,1,0,1,0,0,0,0,0,0,1,1,2,1,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,1,1,0,1,0,1,2,1,2,2,0,1,1,2,2,1,1,0,1,0,2,1,0,0,0,1,2,0,0,1,0,2,0,0,0,0 1,0,1,1,1,1,0,2,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,1,1,2,1,2,0,1,0,1,0,0,0,0,2,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,2,1,1,1,0,0,0,0,0,0,2,1,0,1,1,0,0,1,0,2,1,0,0,0,0,2,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,1,0,2,1,1,1,0,0,0,1,1,2,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,2,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,2,2,0,2,0,0,2,0,1,0,0,0,0,1,1,2,0,2,1,0,0,0,1,0,0,0,0,1,0,0,0,2,1,0,2,0,0,2,1,2,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,2,2,1,0,2,1,1,1,0,1,0,1,0,1,0,0,0,0,0,2,0,0,1,2,1,0,0,0,1,1,0,0,0,1,2,0,0,0,0,1,1,2,1,0,1,0,0,1,0,0,2,0,0,0,1,1,2,0,1,0,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,2,1,0,0,2,0,0,0,2,1,0,1,1,1,0,1,0,0,2,0,0,0,0,2,1,1,1,0,1,2,0,0,0,1,0,0,1,2,1,0,0,0,0,0,0,2,0,0,2,1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0,1,1,2,0,0,1,2,0,1,0,1,1,0,1,0,0,0,0,0,0,0,2,0,1,0,0,0,1,0,0,1,2,1,0,2,0,1,1,0,0,0,2,1,0,0,2,1,1,1,1,0,0,1,0,1,1,1,0,0,1,2,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,2,0,0,0,0,0,1,0,0,0,1,2,2,0,1,0,2,2,0,0,0,0,0,2,0,0,0,1,1,0,0,1,0,0,0,0,1,1,1,2,1,1,0,0,1,2,1,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,2,1,2,1,1,1,1,1,1,1,0,0,0,1,0,0,1,1,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,0,0,1,1,1,1,0,0,1,0,2,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0,1,1,1,1,1,0,2,2,0,0,0,0,0,1,1,0,1,0,0,0,0,1,2,0,0,0,1,1,0,1,0,1,0,2,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,2,0,0,0,1,2,0,0,0,0,1,0,0,1,0,0,1,2,0,1,0,1,0,1,1,0,1,1,0,1,1,2,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,1,2,1,2,0,1,2,0,0,0,0,1,0,0,1,0,0,0,0,0,2,1,0,1,0,0,2,1,0,1,0,0,0,0,2,1,1,1,1,2,1,0,1,0,0,2,0,1,1,0,2,2,0,0,0,1,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1,2,0,1,1,0,0,0,0,0,0,2,1,0,0,0,0,1,2,0,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,2,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,2,0,2,1,1,0,1,2,0,2,0,0,0,0,0,0,1,0,1,1,0,2,0,1,2,0,0,0,2,0,0,0,0,1,1,0,0,2,0,1,0,0,1,1,2,1,0,0,0,1,2,0,0,1,0,0,0,1,1,1,0,0,1,0,2,0,1,1,0,0,1,1,2,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0 0,0,1,1,1,0,0,1,1,2,1,1,0,1,1,0,1,1,0,0,0,0,1,1,2,1,1,1,0,1,1,0,2,0,0,0,1,2,0,0,0,1,1,1,1,2,1,1,0,0,2,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,2,2,0,1,0,1,1,0,0,1,2,0,1,0,0,0,1,1,1,2,1,0,1,1,0,1,0,0,0,2,0,0,0,1,0,0,2,0,1,0,1,0,0,0,1,0,0,2,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,0,2,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,1,2,2,0,0,0,1,1,0,1,1,0,1,1,2,0,2,0,1,0,0,0,1,0,0,0,0,0,0,2,1,1,2,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,2,0,1,0,1,1,0,0,0,0,0,1,0,0,2,0,2,0,1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,1,1,2,0,0,0,1,1,0,0,0,1,2,1,0,0,1,0,0,0,1,1,1,0,1,0,0,2,1,0,0,2,1,0,1,0,0,1,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,2,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,1,2,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,2,1,0,1,0,1,1,0,1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,2,1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,1,1,2,0,0,1,0,0,1,0,0,2,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,2,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,1,1,1,0,0,0,1,0,2,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0,1,2,0,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,2,1,0,0,0,1,0,2,1,0,0,1,1,0,2,2,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,2,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,2,1,0,0,0,0,0,0,0,2,0,1,0,0,0,1,0,1,0,1,0,0,0,1,2,1,0,1,1,1,0,1,0,0,0,1,1,1,0,2,0,1,0,0,0,0,2,0,1,1,0,0,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,2,0,0,0,1,0,2,1,1,0,1,2,1,0,1,0,2,1,1,0,1,0,0,0,1,2,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,2,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,2,2,0,0,1,1,2,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,1,0,1,1,2,0,2,0,0,0,1,1,0,0,1,2,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,2,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,2,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,2,0,0,1,1,1,1,0,2,1,0,1,0,1,1,0,0,0,2,0,1,0,0,0,0,0,1,1,2,0,0,1,0,0,0,0,2,1,0,0,0,0,1,1,0,0,0,0,0,0,2,1,2,0,1,0,0,0,2,1,0,0,1,0,1,0,1,2,1,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,2,0,0 1,1,0,2,0,1,0,0,0,1,1,0,0,1,2,1,0,1,0,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,2,0,0,0,2,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,1,1,0,1,2,0,2,1,0,0,1,0,0,0,1,0,1,0,1,0,0,2,0,0,0,0,1,0,2,0,0,0,0,2,2,0,0,0,1,1,0,2,0,0,1,1,0,2,1,2,1,2,0,0,0,0,0,2,1,1,1,1,0,1,0,0,0,1,2,1,2,0,2,2,1,0,1,0,0,0,1,0,2,0,1,0,0,0,1,0,1,0,0,2,2,0,2,0,0,1,0,1,0,0,1,0,1,0,0,2,0,0,1,0,0,0,2,0,0,0,0,0,1,0,1,1,0,1,0,0,0,2,1,0,0,1,0,0,0,0,1,1,1,0,0,1,2,1,0,1,1,1,1,0,0,2,0,0,0,0,0,0,1,1,0,1,0,1,1,2,1,0,2,1,2,0,0,0,2,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,1,2,1,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,2,0,0,1,0,1,2,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,2,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,2,1,1,1,0,2,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,2,2,1,1,2,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,2,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,1,2,0,1,0,1,1,0,0,0,0,1,0,1,2,0,0,1,0,1,0,1,0,0,0,0,2,0,1,1,1,2,0,0,0,1,0,0,1,1,0,0,2,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,2,1,0,1,0,1,2,2,1,0,0,0,1,1,0,0,0,0,1,0,0,0,2,0,0,1,2,1,1,1,0,0,1,0,0,0,0,1,2,1,0,0,0,0,0,1,1,0,0,0,2,0,0,1,2,1,0,0,1,0,0,1,0,0,1,0,1,0,1,0,0,1,1,2,0,1,1,1,1,0,1,0,2,2,0,1,0,0,1,0,1,0,0,2,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,2,0,0,2,2,0,2,1,1,0,0,0,0,2,2,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,2,2,1,1,0,2,0,1,1,1,0,1,1,0,2,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,0,1,0,2,0,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0,2,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,2,1,0,1,0,1,1,1,0,0,0,2,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0,1,2,0,2,0,1,0,1,0,0,0,1,0,1,1,0,1,1,0,0,1,1,0,1,2,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,2,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,2,0,1,1,2,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,2,0,2,0,0,1,0,1,0,0,1,2,1,1,0,1,0,1,1,1,1,2,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,1,1,2,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,2,2,1,0,1,0,0,0,1,1,1,2,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,2,1,0 0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,2,2,0,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,2,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0,2,1,0,0,0,0,0,1,1,0,1,1,1,1,1,1,0,0,2,1,2,0,0,1,1,2,0,0,0,1,0,1,2,0,2,2,0,1,1,1,0,0,0,1,2,1,0,0,0,0,0,1,1,1,1,0,0,2,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,2,1,1,0,0,2,0,0,0,0,0,2,0,1,2,1,0,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,2,0,2,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,1,2,0,1,1,1,0,2,2,0,0,2,1,0,1,0,0,0,0,1,0,0,1,1,1,2,1,0,1,0,0,0,1,1,2,0,0,1,1,1,0,0,0,1,1,1,0,2,0,0,0,0,1,0,2,1,1,0,1,0,2,0,2,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,1,1,1,1,2,1,0,0,1,1,0,0,1,1,1,1,1,0,1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,1,1,1,1,2,0,0,2,1,1,0,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,2,1,2,1,0,0,1,0,1,2,1,1,0,0,1,0,0,2,0,0,0,0,0,0,0,1,1,2,2,2,1,0,2,0,0,1,0,1,0,0,0,0,0,2,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,2,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,2,0,0,2,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,1,1,2,2,0,0,0,0,0,1,2,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,2,0,2,1,1,2,1,0,1,1,0,0,1,1,1,2,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,2,1,1,0,0,0,0,0,0,0,1,0,1,2,1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0,1,2,1,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,1,0,2,1,0,0,0,0,1,0,1,1,0,0,1,1,0,1,1,1,1,2,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,2,0,0,0,2,2,2,1,0,2,0,0,0,1,0,0,1,0,0,0,0,1,1,2,0,2,0,2,0,0,1,0,0,0,0,0,0,0,2,0,1,1,0,1,1,2,0,2,0,0,1,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0,0,2,0,0,0,0,0,2,2,0,0,0,0,1,0,0,1,0,0,1,2,0,0,1,0,0,1,0,1,1,1,0,0,2,0,1,1,2,1,0,0,0,1,0,0,2,0,1,2,1,0,1,2,1,0,0,1,2,0,0,0,1,0,2,1,0,1,0,2,0,0,0,1,0,0,0,2,1,0,0,0,1,0,0,2,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,2,1,0,1,0,1,2,1,0,1,0,0,0,1,1,0,2,0,0,0,0,1,1,2,0,0,0,1,0,1,0,1,0,0,0,2,0,1,1,1,0,0,0,0,2,1,1,0,0,0,0,0,1,1,0,1,0,1,1,0 0,0,2,1,1,0,1,1,0,2,1,1,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,1,0,1,2,1,0,2,1,0,1,0,0,0,2,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,2,1,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,2,0,2,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0,1,2,2,1,0,0,1,0,2,1,1,0,0,0,1,1,1,1,1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,1,2,0,0,2,0,1,1,0,1,1,1,0,0,1,0,1,2,1,1,0,0,0,0,1,0,1,1,0,1,2,0,2,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,2,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,2,0,0,0,1,0,2,2,0,0,1,0,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,2,1,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,1,1,0,1,1,2,0,0,2,0,0,2,1,1,1,2,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,2,1,0,1,1,0,1,1,0,0,0,0,1,0,1,1,2,0,0,1,2,1,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,2,1,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,2,0,2,0,1,2,0,1,2,1,0,0,0,1,0,2,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0,1,1,2,0,2,0,0,1,2,0,0,0,0,0,2,0,0,1,1,2,1,0,1,0,0,0,0,1,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,2,0,2,0,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,2,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,1,2,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,2,0,0,0,2,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0,2,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,1,2,0,0,0,1,0,0,1,0,2,0,2,1,2,1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,1,1,2,0,1,0,0,0,1,0,0,1,0,1,1,0,0,1,1,0,1,0,2,0,0,2,0,0,2,0,0,0,0,0,0,0,1,2,2,1,1,0,0,0,1,1,0,0,0,0,1,2,1,1,0,1,0,0,0,2,0,0,0,1,1,2,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,2,0,1,1,0,0,0,0,0,1,1,0,2,1,1,0,1,2,2,0,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,2,2,0,1,1,0,0,0,0,1,1,0,1,0,2,0,0,0,0,1,1,1,0,1,1,0,0,0,0,0,0,2,0,1,1,0,1,0,0,1,0,0,1,0,0,0,1,2,1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,2,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0 0,0,0,1,0,1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,2,0,0,2,0,0,0,1,0,0,1,0,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,2,1,0,2,0,2,1,1,1,2,2,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,1,1,1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,2,0,0,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0,2,0,1,0,0,0,0,2,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,1,2,2,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,2,0,0,1,0,1,0,0,0,0,0,1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,2,0,1,1,1,2,2,2,0,1,1,1,0,1,0,1,0,0,2,0,2,0,0,0,0,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,2,1,0,1,0,1,1,0,1,1,2,0,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,2,0,1,1,0,0,1,2,1,0,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,1,2,1,0,1,0,0,0,0,1,0,0,0,0,1,2,0,0,0,1,1,0,2,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,2,2,1,0,1,1,0,1,1,0,1,0,2,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,2,0,0,1,2,2,1,0,1,0,1,1,1,1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,2,0,0,1,1,0,2,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0,2,0,0,0,0,1,0,0,2,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,2,1,0,0,1,2,1,0,1,0,1,2,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,2,1,1,1,1,1,0,1,0,0,0,0,2,0,2,0,0,0,0,2,1,2,1,0,0,0,2,1,1,2,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,2,0,0,0,0,1,0,1,1,0,2,0,0,0,2,2,0,0,2,0,0,1,0,0,0,1,0,1,1,1,0,2,0,0,0,1,0,1,1,0,1,0,0,0,1,1,1,1,1,2,0,0,1,0,0,0,1,0,2,1,0,2,0,0,2,2,1,0,1,1,1,0,1,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,1,2,1,2,2,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,1,1,0,2,0,1,0,0,0,0,0,0,1,0,1,1,1,1,2,0,0,0,2,0,0,0,0,0,2,0,1,0,0,0,2,1,0,0,0,2,0,0,1,0,1,0,2,1,0,0,0,0,1,2,0,2,2,0,1,0,1,1,0,1,1,1,0,1,0,2,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,2,0,0,0,1,0,0,1,1,1,0,0,2,2,0,0,1,1,1,1,0,0,0,0,1,1,0,2,0,1,1,1,1,0,0,0,0,1,1,1,2,1,2,1,0,0,0,0,0,0,0,1,0,0,0,0,2,2,1,0,0,0,0,0,0,2,2,2,0,0,1,0,0,1,1,2,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,2,1,0,0,0,1,1,0,1,1,1,0,0,2,0,0,1,1,0,1,0,0,0,0,2,0,2,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0 1,0,1,0,2,1,1,0,2,1,1,1,0,2,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,2,0,0,1,0,0,2,0,0,1,1,0,0,0,1,1,0,0,2,1,1,1,0,1,0,0,0,2,0,0,0,1,2,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,2,1,0,0,2,0,2,1,0,0,1,0,0,2,0,2,1,1,0,1,1,2,0,1,0,2,0,0,1,0,0,0,0,1,2,0,0,0,0,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0,2,0,0,0,0,1,0,0,1,0,1,2,0,0,1,0,0,2,1,0,0,2,1,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,0,2,2,0,2,0,0,1,0,2,0,0,0,1,1,0,0,0,0,1,1,0,0,0,1,1,0,1,1,0,1,2,0,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,2,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,2,0,1,0,1,0,0,0,0,0,1,0,1,2,1,1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,2,0,1,1,1,1,0,1,1,1,1,0,2,0,1,0,0,0,0,0,0,0,2,1,1,1,1,0,0,0,1,2,1,0,1,1,0,1,0,1,0,0,1,0,1,1,1,1,2,0,0,1,1,2,0,1,1,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,2,1,0,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,1,0,1,0,1,0,2,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0,1,1,2,0,1,1,1,1,2,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,1,1,0,0,0,2,0,1,0,0,0,0,0,1,2,1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,1,1,2,0,0,1,1,1,0,2,0,1,0,2,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,1,0,0,1,2,0,2,1,1,0,1,0,0,1,0,0,2,0,0,1,0,1,0,2,0,0,0,0,1,0,0,0,0,2,1,0,1,2,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,2,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,1,0,1,1,0,0,2,0,0,1,0,1,0,0,0,1,1,1,1,1,2,0,1,1,2,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,2,0,0,1,0,2,1,1,1,0,0,1,0,0,1,0,1,1,0,0,2,0,2,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,2,0,1,1,0,1,2,1,0,1,1,1,0,1,2,0,0,2,2,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0,0,1,0,2,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0,2,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,2,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,2,0,0,1,0,2,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,2,0,1,2,0,0,0,0,0,1,0,2,0,1,0,0,1,0,2,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0 2,0,0,2,0,0,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,2,0,1,0,1,0,1,1,2,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,2,0,0,0,0,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,2,0,0,0,2,1,1,0,2,1,0,1,0,0,2,0,2,1,2,0,0,1,1,1,2,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,0,2,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,2,1,1,2,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,1,1,2,0,1,0,1,0,2,1,0,0,2,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,2,1,2,0,0,1,0,1,0,0,0,1,2,0,0,1,2,0,1,2,1,0,0,0,0,0,0,1,2,0,1,1,1,2,0,1,0,1,0,1,1,0,0,0,1,2,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,2,0,2,0,0,2,1,1,1,0,1,0,1,1,1,2,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,2,0,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,2,0,1,0,0,0,1,1,1,2,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,2,0,2,1,1,0,0,2,0,1,1,0,1,1,0,1,2,0,1,0,1,1,0,1,1,0,0,1,0,0,1,2,1,1,0,2,1,0,1,2,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,2,0,0,0,1,0,1,0,1,1,2,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,2,1,0,0,0,0,2,0,0,2,2,0,0,1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,1,2,0,1,1,2,1,0,1,2,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,2,1,1,0,2,0,1,0,1,0,1,0,0,0,1,1,0,0,1,1,1,2,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,2,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,2,0,0,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,2,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,2,0,0,0,0,0,1,2,0,2,0,0,0,1,2,0,0,0,0,1,0,0,1,0,0,1,1,0,0,2,0,1,0,0,0,0,0,2,1,1,1,0,1,0,0,1,2,1,0,2,1,1,2,1,0,0,1,0,0,2,2,0,2,0,0,0,0,0,2,0,0,0,0,1,1,0,0,2,0,0,0,0,1,0,0,0,1,2,0,0,0,2,0,1,0,1,2,0,1,1,0,2,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,2,2,2,0,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,2,1,0,1,0,1,0,0,0,1,1,1,0,1,2,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,2,1,1,0,1,1,1,2,0,0,0,1,0,2,0,0,0,2,0,0,1,0,1,2,1,1,0 0,0,1,1,2,0,0,0,0,1,0,1,1,2,1,0,1,1,0,0,0,0,0,1,1,1,0,1,0,0,1,0,2,2,0,0,0,1,0,1,0,2,0,1,1,1,0,1,1,0,2,0,0,0,1,0,0,0,1,1,1,0,0,0,0,2,0,1,1,1,0,1,2,0,2,0,0,1,0,1,0,0,0,2,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,2,0,0,0,0,0,2,0,1,1,0,0,0,1,0,1,1,2,2,0,1,0,0,0,0,0,1,0,0,1,0,2,2,0,2,0,2,1,0,0,1,2,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,1,0,1,1,1,2,0,0,0,2,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,2,1,1,0,2,0,1,1,0,0,0,0,0,0,0,1,1,1,2,0,0,0,1,1,1,0,2,0,0,1,1,0,0,0,0,1,1,2,0,1,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,2,1,0,0,0,0,2,0,1,1,0,0,1,1,1,0,0,1,1,0,1,2,2,1,1,1,0,2,1,0,0,0,0,0,1,0,1,0,2,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,1,2,0,2,0,1,0,0,1,2,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,2,0,2,1,1,0,0,0,0,1,2,1,1,0,2,0,1,0,1,0,0,0,1,1,0,0,1,0,0,2,0,1,0,0,1,0,0,1,2,0,1,0,0,0,1,0,1,0,0,2,0,1,0,0,0,1,0,1,0,0,1,0,2,1,0,0,0,0,2,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,1,1,1,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,2,0,2,0,0,0,1,1,2,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,1,2,0,2,1,2,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,1,1,2,1,0,2,1,1,1,2,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,1,1,1,2,1,0,0,0,0,0,0,0,0,0,1,1,0,0,2,0,2,0,2,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,2,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,2,1,0,1,1,0,0,0,1,0,0,0,2,2,0,1,1,0,1,0,1,0,0,0,2,0,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,2,1,0,2,0,0,0,2,0,1,0,2,0,0,1,0,0,1,0,0,0,0,0,2,1,1,2,1,1,0,0,2,0,2,0,1,0,1,0,1,1,0,0,1,0,0,0,1,2,0,0,1,0,0,0,1,0,0,1,1,1,0,1,1,1,2,0,0,1,0,2,0,1,1,1,1,2,2,2,0,2,2,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,1,2,0,2,2,0,0,0,0,0,1,1,1,0,0,1,1,1,1,0,1,1,1,1,2,0,1,0,0,0,1,0,0,2,0,0,1,0,0,1,0,1,0,0,2,0,0,0,0,1,1,1,2,0,1,0,1,1,1,1,0,1,0,2,2,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,2,1,1,0,1,0,0,0,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,1,0,1,2,0,2,1,1,1,0,1,0,1,1,1,1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,2,0,0,0 0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,2,1,0,1,0,2,1,1,0,1,0,0,0,1,2,0,0,0,1,0,1,1,0,1,0,2,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,2,1,0,1,0,0,0,0,0,1,0,1,1,1,2,1,1,0,0,0,0,1,2,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,2,0,2,2,1,0,0,0,0,0,1,0,1,2,0,1,1,0,2,1,0,0,1,2,0,2,0,0,0,2,1,1,1,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,1,1,2,0,0,1,0,1,0,0,1,1,1,2,0,0,2,1,0,0,0,0,1,1,1,1,1,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,2,0,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,1,2,0,1,0,0,0,1,1,1,0,1,0,0,0,2,0,0,1,1,0,0,0,0,0,2,0,0,0,1,1,0,2,1,0,1,0,2,2,1,0,1,0,1,2,0,0,0,0,1,1,2,0,0,1,0,0,1,1,1,0,0,2,0,1,0,0,1,1,2,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,2,1,0,2,1,2,0,0,0,2,1,1,0,1,0,0,1,0,1,0,1,2,1,0,1,0,0,2,0,0,0,0,0,1,0,0,1,1,0,1,1,1,0,0,1,0,1,1,2,0,0,0,1,0,1,0,0,0,1,0,0,2,1,1,0,0,1,0,1,0,1,1,0,1,2,1,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,2,0,1,0,0,0,1,2,1,1,1,2,1,0,0,1,0,0,1,0,0,1,0,1,1,1,0,0,0,2,1,0,1,0,0,0,0,0,1,0,1,0,2,0,0,0,0,1,0,0,0,1,0,1,2,0,1,1,0,1,0,1,0,0,0,1,0,1,0,2,0,1,1,0,0,1,1,0,0,0,1,2,0,2,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,2,0,1,2,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,2,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0,1,1,1,0,2,1,0,1,2,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,2,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,1,1,2,2,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,2,1,1,1,0,0,0,0,0,2,0,1,2,1,1,0,2,0,0,0,0,0,0,0,0,0,2,1,1,1,1,1,1,1,0,0,2,0,0,1,1,1,0,0,1,1,0,1,1,0,1,0,2,1,0,1,2,1,0,1,0,0,2,1,1,1,0,0,1,0,2,0,0,0,1,0,0,1,0,0,0,1,1,1,2,1,1,0,0,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,2,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,0,2,0,1,1,0,0,0,1,0,0,1,0,0,0,0,2,0,0,1,0,1,2,0,0,1,0,1,0,0,2,0,1,0,0,2,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,1,0,1,0,0,0,0,1,2,2,0,0,0,1,1,0,2,0,2,0,0,2,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,1,2,0,1,1,2,1,1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0 2,0,1,1,2,0,0,0,1,1,0,2,0,0,0,1,0,2,2,0,0,0,1,0,1,1,1,2,0,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,2,1,1,2,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,2,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,2,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,2,0,0,0,0,0,2,0,1,0,0,0,1,0,0,0,0,2,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,1,0,1,0,2,0,0,2,1,0,1,0,0,0,1,0,0,0,2,1,1,2,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,0,2,0,1,1,2,0,0,1,1,0,0,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,2,1,2,1,0,0,0,0,1,0,2,2,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,2,0,1,0,2,0,0,1,0,0,0,1,0,2,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,1,1,0,1,1,0,2,0,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,2,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,1,1,0,1,1,0,1,0,2,0,1,1,0,1,0,1,0,2,0,1,0,0,0,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,2,1,1,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,1,0,1,1,0,0,0,0,1,0,1,2,1,0,1,0,1,2,0,0,0,1,0,0,0,0,1,0,1,0,1,0,1,2,0,0,1,1,0,0,0,1,2,1,2,1,2,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,2,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,2,0,0,2,1,0,0,0,0,0,0,1,0,1,0,0,1,2,2,2,0,0,1,0,1,1,0,1,2,0,1,0,1,2,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,2,0,0,1,0,0,2,1,0,1,0,1,0,0,0,0,1,1,0,1,2,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,1,0,1,0,2,0,0,0,0,0,1,0,0,2,1,1,1,0,2,1,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,1,1,2,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,1,0,0,0,2,1,2,1,2,0,0,2,0,2,0,1,0,1,0,0,1,1,0,1,1,1,1,2,1,0,2,0,0,0,1,1,0,0,1,0,0,2,1,0,0,0,0,0,1,0,2,0,0,2,1,0,0,0,1,0,1,1,1,1,0,1,1,0,0,1,1,0,0,2,0,1,1,0,1,2,2,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,1,2,0,1,2,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,1,1,2,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,1,0,2,0,0,1,0,0,1,0,1,2,0,0,1,0,0,0,0,1,0,0,2,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,2,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,1,1,0,1,0,2,1,0,1,0,1,2,2,0,0,1,0,0,0,1,0,0,0,1,1,0 0,0,0,0,2,0,0,1,1,1,0,0,0,0,2,1,1,1,0,0,0,0,0,0,1,0,1,2,0,0,0,0,1,1,0,0,0,0,0,0,1,2,0,1,0,2,0,2,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1,2,2,0,1,0,0,0,0,0,1,1,0,0,0,0,2,2,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,1,1,1,0,2,0,1,1,1,0,2,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,2,0,1,0,0,2,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,2,1,1,0,0,0,1,1,1,1,1,2,0,0,0,1,1,0,1,0,0,0,0,2,0,0,2,1,2,1,0,1,1,0,0,0,1,1,1,2,1,0,1,0,0,0,1,0,0,1,0,1,1,1,1,1,1,0,1,2,0,1,1,0,0,0,0,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,2,0,0,1,0,1,1,2,0,1,0,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,2,1,0,2,0,1,0,0,1,1,2,0,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,2,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,1,2,0,1,2,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,2,2,2,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,2,1,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,1,0,2,1,0,1,1,0,2,0,0,0,2,0,1,1,1,1,1,1,2,1,2,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,2,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,2,1,1,1,2,1,1,1,0,0,0,0,0,2,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,0,1,0,1,0,1,1,1,0,1,1,2,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,1,2,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,1,1,1,1,1,0,1,0,1,2,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,1,1,1,0,1,0,1,0,0,0,2,0,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,2,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,2,1,1,1,1,2,2,2,2,1,0,1,0,0,1,0,1,1,0,1,2,0,0,2,0,1,1,0,0,0,0,1,0,1,0,0,0,1,2,0,0,2,0,1,2,1,1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,1,0,1,1,1,2,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,1,2,0,1,2,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,2,0,1,2,1,2,0,0,0,0,0,2,0,0,0,0,1,1,0,0,2,0,1,0,0,0,1,1,0,1,0,0,2,0,0,0,1,1,2,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,2,1,0,0,0 1,0,1,0,0,1,0,1,1,1,1,1,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,1,0,0,1,1,0,0,1,0,0,1,1,2,1,2,1,0,0,0,1,2,2,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,0,2,1,0,2,0,1,0,1,0,1,1,0,0,1,0,1,1,2,2,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,2,1,1,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,2,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,2,0,0,0,1,0,1,0,1,0,0,1,2,0,1,0,1,2,0,0,0,1,1,1,0,0,0,0,0,1,1,0,1,1,1,0,1,0,1,2,0,1,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,2,1,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,1,2,0,0,1,2,2,0,0,0,0,1,0,2,0,0,0,0,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,1,1,1,2,0,1,1,0,0,1,0,0,1,0,0,2,1,1,2,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,2,1,1,2,1,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,2,1,0,1,0,1,1,1,2,1,0,1,0,0,0,0,0,1,1,1,0,0,1,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,2,0,2,0,0,0,2,0,1,2,0,0,1,0,1,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,2,1,1,1,0,0,1,0,0,1,1,2,1,2,0,2,0,1,2,0,0,2,0,0,2,0,0,0,0,1,0,1,1,1,2,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,2,0,2,0,1,1,2,0,0,2,1,1,0,1,0,1,1,0,2,1,0,0,0,0,0,0,1,1,0,0,2,2,0,1,0,0,0,2,0,1,1,1,1,1,1,1,2,1,2,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,2,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,2,0,1,1,0,1,2,2,0,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,2,0,1,1,1,0,1,0,1,0,0,2,1,0,0,0,1,0,0,2,0,0,0,0,0,0,0,1,2,2,2,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,2,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,1,0,0,0,0,0,2,0,1,0,0,1,0,1,2,0,1,2,2,0,0,0,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0,1,2,0,1,1,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,2,0,2,0,2,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,2,2,1,0,0,1,0,0,0,0,2,0,0,0,0,1,1,1,0,0,0,0,0,2,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0 2,1,2,1,0,0,0,0,0,0,2,1,0,1,2,1,1,0,1,0,0,0,1,1,1,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,1,0,2,2,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,2,0,2,0,1,1,1,2,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,2,0,1,0,1,2,1,1,0,0,0,2,1,1,0,2,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,2,0,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,2,1,0,1,1,2,1,0,0,0,1,0,1,1,0,2,1,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,1,2,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,2,0,1,1,1,0,0,1,0,0,1,0,0,0,1,1,0,2,0,1,0,0,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,1,2,2,0,0,1,0,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,2,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,2,0,2,0,0,1,0,1,0,1,1,2,0,0,2,1,1,0,1,0,0,0,2,0,0,1,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,2,0,2,1,0,0,1,0,2,1,0,1,0,2,0,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,1,2,1,0,0,1,0,0,1,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,1,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,2,2,1,1,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,1,2,0,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,2,0,0,0,0,1,0,2,1,1,0,0,1,0,1,0,0,0,0,1,0,1,0,1,2,1,0,1,2,0,2,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,2,1,1,0,1,1,0,0,0,1,0,0,2,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,2,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,1,0,2,0,1,1,1,0,2,0,0,0,0,0,0,1,1,0,1,2,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,1,1,2,1,0,1,0,1,2,0,0,2,0,0,1,0,0,0,1,0,0,1,2,2,1,0,2,0,2,2,2,0,1,0,0,0,1,1,1,0,1,1,0,1,2,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,2,1,0,1,1,0,2,1,0,1,2,0,0,0,0,1,0,1,0,0,0,0,0,1,2,0,0,0,1,0,1,0,0,0,2,1,1,0,0,0,1,0,0,0,0,0,1,0,2,2,0,0,0,0,0,1,0,1,1,2,0,0,1,2,0,1,0,1,0,0,0,0,1,0,2,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,1,0,2,1,0,0,0,1,0,1,0,0,1,0,0,0,0,2,1,0,1,2,0,0,1,0,0,1,0,1,1,0,1,0,1,2,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0 1,0,1,1,0,0,0,0,1,2,1,1,1,0,1,1,0,1,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,1,2,0,0,0,0,0,1,0,1,2,0,0,0,1,0,0,0,2,1,1,2,1,0,2,0,1,0,1,0,0,0,0,0,1,2,0,1,0,0,0,0,2,0,0,0,0,1,1,1,0,2,1,0,1,0,2,0,0,0,2,2,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0,1,0,1,0,2,0,0,0,1,0,1,2,0,1,2,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,2,1,0,2,0,1,0,0,1,0,0,0,1,1,1,1,0,2,0,0,2,0,0,0,0,1,0,0,0,2,0,2,0,1,0,1,2,1,0,1,0,0,1,0,0,0,1,1,0,2,1,1,0,1,0,1,1,0,0,0,1,0,1,2,1,0,0,1,0,0,1,1,2,2,2,0,1,1,0,1,0,1,1,0,0,1,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,2,1,0,0,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,2,1,1,1,0,2,1,0,0,0,0,0,0,0,1,2,1,0,1,2,0,2,1,0,0,0,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,1,2,2,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,2,0,1,0,1,0,0,2,0,1,0,1,0,1,1,1,0,1,1,0,1,2,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,2,1,2,1,0,1,0,1,0,1,0,0,2,2,0,1,0,0,0,1,0,1,0,0,0,2,0,0,0,0,1,2,0,0,0,1,0,1,1,0,0,2,1,2,0,0,0,0,0,1,1,0,1,0,1,0,1,0,2,0,1,1,2,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,2,0,0,1,2,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,2,0,0,0,1,1,2,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,2,1,1,1,0,0,0,0,2,1,0,0,0,2,0,1,0,1,0,1,0,1,1,1,1,0,0,1,1,1,1,0,2,0,0,1,0,1,0,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,1,2,0,0,0,1,1,0,0,1,1,0,0,2,0,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,2,1,0,0,0,1,0,1,1,0,1,0,2,2,0,1,1,1,0,0,2,1,1,0,1,0,0,1,1,0,1,0,1,1,2,1,1,0,2,1,0,0,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,1,2,1,0,0,1,1,0,1,1,0,1,0,1,1,0,2,2,0,1,1,2,0,0,0,1,0,0,1,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,1,1,2,1,0,1,0,1,1,0,0,1,1,1,0,0,1,2,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,2,1,0,1,0,0,0,0,0,2,0,0,1,0,0,0,1,0,1,0,0,1,2,0,0,0,1,1,0,1,0,1,2,1,0,1,1,2,0,1,0,0,1,0,0,2,0,2,0,0,1,2,1,0,1,1,0,1,0,0,0,0,1,1,1,2,0,1,0,2,2,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,2,0,1,0,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,1,0,0,0,1,2,0,0,2,1,1,0,1,0,1,1,1,0,0,1,0,0,2,0,0,0 0,0,1,1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,2,2,0,0,0,1,0,2,0,0,2,0,0,0,1,0,1,0,1,1,0,0,0,2,0,2,1,0,1,0,0,0,0,1,2,0,1,2,0,2,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,2,1,1,1,1,0,2,0,0,0,1,1,2,0,1,0,0,0,0,0,1,2,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,2,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,2,0,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,2,2,1,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,2,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,2,0,0,0,0,2,1,0,2,1,1,0,0,1,0,1,0,0,2,2,0,0,1,0,0,2,2,1,0,0,0,1,1,1,0,1,0,1,0,0,2,1,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0,1,1,2,0,0,0,2,0,1,0,1,2,1,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,1,1,2,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,2,1,0,0,1,0,0,2,1,1,1,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,0,1,2,0,0,0,1,1,0,0,0,2,0,0,1,2,1,1,0,0,0,0,2,1,1,0,1,0,0,0,0,1,1,1,0,2,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,2,2,0,0,0,0,0,0,0,1,0,1,1,2,1,0,1,0,0,0,0,0,1,0,1,1,0,1,2,1,0,0,1,2,1,2,1,0,0,0,1,0,2,0,0,1,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,2,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,2,0,0,0,2,0,1,0,0,1,1,0,0,2,1,2,0,2,0,0,1,0,0,2,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,2,1,1,2,2,1,0,0,1,0,1,0,0,1,1,0,0,0,1,1,1,1,0,1,0,2,0,0,0,2,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,2,0,0,0,1,0,2,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,0,2,1,0,0,0,1,0,0,0,0,0,0,2,0,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,1,0,1,2,1,1,0,0,0,2,0,0,0,1,2,1,0,0,1,0,1,0,0,2,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,2,1,0,0,0,0,0,1,0,0,2,0,2,0,0,1,1,1,0,2,2,0,0,1,1,1,2,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,2,1,0,2,1,0,0,1,2,0,0,2,0,0,1,0,2,2,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,2,1,0,1,0,1,0,2,1,0,0,0,0,0,0,0,0,0,2,1,0,2,0 0,0,0,1,1,1,0,0,1,0,2,0,0,1,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,2,0,1,0,1,2,2,0,1,0,0,2,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,1,0,1,1,0,1,0,2,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0,1,2,1,0,0,0,1,1,0,0,0,0,0,2,0,0,0,1,0,1,0,2,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0,0,2,0,1,0,0,1,0,1,2,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,2,1,1,1,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,0,1,2,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0,2,0,0,1,0,1,1,2,0,1,0,0,0,0,1,2,1,0,0,0,2,1,0,0,1,1,0,0,2,0,0,1,1,0,1,0,2,0,0,0,0,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,2,0,0,1,0,0,0,1,0,0,0,0,0,2,1,0,0,0,1,1,0,2,1,1,1,1,1,2,0,0,1,0,0,0,0,0,0,0,0,1,2,1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0,2,1,0,2,0,2,0,0,1,1,0,0,0,0,0,1,2,1,0,0,1,2,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,2,0,0,0,1,0,2,0,0,0,1,1,2,2,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,0,2,1,1,0,0,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,1,2,2,0,2,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,1,0,1,1,0,0,2,0,0,0,2,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,1,1,1,1,0,2,0,0,0,1,0,2,0,2,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,2,0,2,0,1,0,1,0,1,1,0,0,0,1,1,0,0,0,1,0,2,0,2,2,0,1,2,0,2,0,1,0,2,1,0,2,0,1,0,1,0,1,0,0,0,0,0,1,1,0,2,2,0,2,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,1,0,2,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,2,0,0,2,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,1,1,1,0,0,1,2,0,1,1,0,1,2,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,2,2,1,1,0,0,1,0,0,0,1,1,2,1,1,1,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,1,1,0,0,0,1,1,1,0,1,0,1,0,1,0,1,2,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,1,2,1,0,0,0,1,0,0,1,0,0,0,0,2,1,0,1,0,1,0,1,0,2,1,0,0,0,2,1,0,0,0,2,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,1,0,2,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0 2,0,0,2,1,1,0,0,0,0,2,0,0,0,1,1,0,2,0,0,0,1,0,0,0,1,0,2,1,0,1,0,0,1,1,0,1,1,0,0,1,2,2,2,1,0,0,2,0,1,1,0,0,0,1,0,1,1,1,2,0,0,0,1,0,1,2,2,0,0,2,1,2,0,0,0,0,0,0,1,0,0,0,0,2,2,2,0,1,1,0,0,0,0,0,0,0,0,1,0,0,2,1,2,0,0,0,1,0,2,0,1,0,1,1,1,1,0,2,1,1,1,0,0,0,1,0,2,1,1,1,1,0,2,0,0,0,1,1,1,0,0,1,2,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,2,1,0,0,0,1,0,1,2,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,2,0,0,0,0,0,2,0,0,0,0,0,1,1,1,1,0,0,1,2,0,0,0,0,2,0,0,0,2,0,1,1,1,0,0,0,0,0,1,0,0,0,0,2,0,1,1,1,1,1,0,2,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0,2,0,1,1,0,2,1,0,0,1,2,0,1,0,0,1,2,0,0,0,0,0,2,0,0,0,0,1,0,1,0,0,1,2,2,1,0,1,0,0,1,1,1,1,0,2,1,0,1,0,0,1,0,0,0,1,0,0,1,1,2,0,0,0,0,1,1,0,0,2,0,0,1,2,0,0,1,0,0,0,2,1,0,1,1,1,0,0,1,0,1,0,2,1,1,1,0,1,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,1,1,1,1,1,1,0,0,1,1,1,1,1,1,0,0,2,1,0,0,0,2,2,0,0,1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0,1,2,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1,2,0,1,0,0,0,0,0,0,1,2,0,1,1,0,0,1,0,0,1,0,0,0,2,1,2,0,0,0,2,2,0,0,1,0,2,0,1,1,1,2,0,1,1,0,0,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,1,1,2,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,0,1,1,1,1,0,2,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,2,0,0,2,0,0,0,1,0,1,0,0,1,0,1,0,1,0,0,0,2,1,1,1,0,0,0,0,2,0,0,0,0,1,1,1,2,0,0,0,0,1,0,2,1,1,2,1,0,1,2,1,0,1,1,1,1,0,0,1,0,1,0,0,0,2,0,0,1,1,0,0,2,0,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,2,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,2,1,0,2,0,1,0,2,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,2,1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,2,2,1,1,1,1,0,0,0,0,2,0,1,2,0,1,1,2,0,0,0,0,0,2,2,0,0,1,0,0,0,0,0,1,0,0,2,0,0,1,0,1,0,0,2,1,0,1,0,0,2,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,0,0,1,1,0,1,1,0,0,1,1,2,1,2,0,0,2,2,0,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,2,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,1,1,1,0,1,1,1,1,1,2,0,0,1,0,1,2,0,2,1,1,2,0,2,0,2,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 1,0,0,0,0,0,0,1,0,1,2,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,2,1,0,0,2,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,2,1,1,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,2,0,2,1,1,1,1,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,2,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,1,0,1,0,1,2,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,2,0,1,1,1,1,1,0,2,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,2,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,2,1,0,0,2,1,0,1,0,1,0,0,1,2,0,0,2,1,1,1,2,0,0,1,1,0,1,0,1,2,0,0,0,0,1,1,0,1,0,0,2,1,0,0,2,0,0,2,1,1,0,0,2,0,2,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,0,2,0,2,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0,2,0,2,0,0,0,0,1,1,0,0,1,0,0,0,0,0,2,1,1,0,0,0,1,0,1,1,2,0,0,0,0,1,2,1,0,2,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,2,0,1,0,0,0,2,0,0,0,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,2,1,0,1,0,0,1,0,0,0,1,2,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,0,2,1,0,1,0,1,0,0,0,0,0,1,2,0,0,2,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,1,1,1,0,0,0,0,2,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,2,1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,2,0,0,0,0,1,0,1,1,1,0,1,0,1,0,1,0,2,0,1,0,1,0,1,2,1,0,1,0,0,0,1,1,0,0,1,0,0,0,2,1,1,1,2,2,0,1,2,0,1,1,0,0,0,0,1,2,0,1,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,2,0,0,1,0,1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,2,1,1,0,0,1,0,0,0,0,0,0,0,2,2,1,1,2,0,0,0,0,0,1,0,2,0,0,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,2,1,1,0,0,0,0,0,0,2,0,0,0,0,1,0,2,0,0,0,1,0,0,0,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,2,1,1,0,2,0,2,1,0,0,1,1,1,0,0,1,1,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,1,2,0,1,1,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,2,1,1,2,0,0,0,0,1,0,0,1,2,0,1,0,0,0,2,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0 1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,2,1,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,2,0,2,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,2,0,1,1,0,2,0,1,1,0,0,0,0,1,1,1,0,0,2,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,2,0,0,1,0,0,1,1,1,1,1,0,0,2,0,1,1,0,0,0,2,0,2,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,1,1,1,1,2,2,0,0,0,0,1,1,0,0,1,0,2,0,0,1,1,1,1,2,0,1,0,0,0,2,0,1,1,0,1,0,2,0,0,0,0,2,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,2,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,1,2,0,0,1,1,0,1,0,1,0,0,2,1,1,0,0,0,1,1,1,0,0,0,2,0,1,1,0,0,0,1,0,1,0,0,0,0,0,2,1,0,0,1,0,0,0,2,1,0,0,1,1,0,0,0,1,0,1,1,1,1,0,0,2,1,0,1,0,1,0,0,2,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,2,0,2,1,2,0,0,1,2,0,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,2,0,1,2,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,2,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,2,1,1,0,0,0,0,0,1,1,0,1,0,0,2,0,0,0,0,1,1,0,1,0,0,1,2,2,1,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,1,2,0,0,2,0,2,2,0,2,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,2,0,0,1,0,0,0,0,0,2,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,1,1,0,1,2,0,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,2,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,1,1,1,0,1,2,0,0,1,0,0,1,1,0,0,0,1,2,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,1,2,1,0,0,0,2,0,0,1,1,0,0,0,1,0,1,0,0,2,0,0,1,0,1,0,0,0,2,1,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1,2,1,0,0,1,0,2,2,0,1,0,1,0,2,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,2,0,2,1,2,0,0,0,1,0,1,1,2,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,2,1,0,0,0,0,0,1,0,0,1,2,1,0,0,0,0,1,1,0,2,2,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,2,0,0,0,0,1,2,0,0,1,0,1,1,0,0,0 0,0,2,1,1,0,0,1,2,0,1,1,1,2,0,0,0,2,1,0,0,0,0,0,2,0,1,2,0,0,2,0,0,0,0,0,2,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,0,1,2,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,1,1,0,0,2,1,0,2,0,0,0,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,2,1,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,2,1,0,1,0,1,0,1,0,0,0,1,0,0,0,1,2,0,2,2,1,0,1,2,1,0,0,1,1,0,0,1,0,0,2,1,0,0,0,2,0,0,1,0,0,0,0,0,2,1,0,0,0,2,1,0,0,1,0,1,1,0,1,0,0,1,1,0,1,0,1,1,2,0,1,2,2,0,0,0,1,0,1,1,0,0,0,1,0,0,0,2,1,0,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,2,1,1,1,0,0,1,0,0,0,0,0,0,2,2,1,1,0,1,0,0,2,2,0,0,0,1,2,2,1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,2,0,0,1,2,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,2,0,0,1,0,1,0,1,0,1,0,0,2,0,1,1,0,1,1,0,0,1,0,0,0,1,1,0,1,0,1,0,2,1,1,2,1,0,1,1,0,1,0,0,0,1,0,2,0,2,0,1,1,2,1,0,1,1,0,0,1,0,0,0,2,1,1,1,0,1,0,1,0,0,1,1,0,2,0,0,2,0,2,0,0,1,1,0,0,2,0,2,0,0,0,2,0,0,0,0,2,2,0,0,1,0,0,0,0,0,0,0,0,0,2,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,2,0,1,0,0,0,1,0,0,0,2,1,2,0,0,0,1,0,1,1,0,0,0,1,2,2,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,1,2,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,2,0,0,2,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,1,0,2,0,0,0,0,0,1,1,2,1,0,0,0,1,0,0,2,0,1,0,1,1,1,0,0,1,0,0,1,1,2,0,2,1,1,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,2,2,0,1,1,0,0,0,1,0,0,0,0,2,0,0,0,2,0,2,0,2,0,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,2,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,2,0,0,0,0,2,1,2,0,2,1,0,0,0,1,1,0,0,2,0,0,0,0,2,0,0,1,1,0,0,0,1,2,2,0,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,2,2,0,0,0,0,1,0,0,0,1,0,1,0,1,2,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,1,0,2,1,0,0,0,0,1,1,1,2,0,0,1,1,0,1,1,0,1,0,0,0,2,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,2,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,1,0,1,0,1,1,1,1,2,0,2,1,0,0,1,1,0,0,0,0,0,2,1,0,0,0 0,0,1,2,0,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,2,0,0,0,1,1,1,1,0,0,1,1,0,1,0,1,2,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,2,0,0,0,0,0,1,1,1,2,0,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,2,1,0,0,1,1,0,0,1,1,1,1,2,2,1,0,1,1,1,0,1,0,1,1,1,1,1,0,2,0,0,0,0,2,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,1,0,1,1,2,2,0,0,1,0,2,0,1,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,1,0,1,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,2,0,1,0,1,0,2,1,2,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,2,1,2,0,0,2,1,1,1,1,0,0,0,1,1,0,1,1,1,0,0,2,0,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,2,2,1,1,1,0,0,1,0,0,0,0,0,0,1,1,1,1,1,2,0,0,0,1,1,0,0,0,0,0,2,0,0,1,1,0,0,2,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0,2,0,0,0,2,0,0,0,2,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,2,2,0,1,0,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,2,0,1,1,1,0,1,0,1,0,0,0,0,1,2,1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,2,2,0,0,1,1,0,1,0,0,0,2,0,0,0,0,2,2,0,0,0,1,0,0,0,0,0,2,0,1,0,1,0,0,0,0,2,1,2,1,0,1,0,0,2,0,1,0,0,0,1,0,1,0,1,0,0,1,2,0,2,0,0,1,2,1,1,0,1,0,0,0,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,2,0,0,0,1,0,1,0,0,1,0,2,2,1,1,0,1,2,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,1,0,0,0,1,1,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,2,0,0,1,0,2,2,1,0,2,1,0,1,2,0,0,0,1,0,1,1,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,2,2,0,1,0,0,1,2,0,0,2,0,2,0,0,0,1,1,2,1,2,0,0,0,0,2,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,2,0,0,0,2,1,0,2,0,2,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,0,2,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,2,0,1,0,0,2,2,0,1,0,0,0,0,0,1,0,1,0,0,0,2,0,1,1,0,1,0,1,0,1,1,0,1,1,0,1,2,1,2,0,0,0,1,0,1,0,0,2,0,0,1,0,2,1,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,2,0,0,2,0,0,0,2,1,1,2,1,0,1,0,2,1,1,0,0,1,0,0,2,1,0,1,0,1,0,0,1,0,1,0,0,0,2,0,0,0,1,0,0,0,0,1,1,0,1,0,1,2,0,0,0,1,0,0,0,0,2,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,2,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,0,1,1,1,0,2,0,0,0,2,0,1,1,0,1,0,0,0,1,1,1,1,1,1,0 2,1,2,1,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,2,1,1,1,0,0,0,1,1,0,1,0,2,0,0,0,2,1,1,0,0,0,0,0,0,0,0,1,1,0,2,1,1,1,0,1,1,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,1,1,1,2,1,0,1,0,1,0,0,0,2,0,1,0,1,2,1,0,0,1,1,0,0,1,0,2,0,0,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,2,1,1,0,0,1,0,1,0,0,0,0,1,2,1,1,0,0,1,1,0,1,0,2,1,0,1,0,0,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,1,2,2,0,1,0,0,0,1,2,0,1,0,0,0,2,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,2,0,0,2,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,1,0,1,1,2,2,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,2,1,1,0,0,0,1,0,1,0,0,1,0,2,1,0,0,0,0,0,0,0,0,1,0,1,0,2,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,2,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,1,1,0,2,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,2,0,0,1,1,0,1,0,0,0,0,2,0,2,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,1,1,2,0,2,2,0,0,1,1,1,1,0,1,0,1,0,0,0,1,0,1,1,1,1,0,0,2,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,2,1,2,0,2,0,0,0,0,0,0,1,0,1,1,0,2,0,0,0,1,1,2,0,0,1,0,0,1,1,1,0,1,2,0,0,0,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,2,1,0,0,2,1,0,2,1,0,2,0,1,1,0,0,0,2,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,2,0,0,1,0,1,2,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,1,0,1,1,2,1,0,0,2,2,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,2,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,2,1,2,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,2,0,1,0,2,1,0,0,1,0,0,0,0,2,0,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,2,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,2,0,1,1,0,1,2,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,1,0,1,2,0,0,0,1,0,0,0,0,1,0,2,1,1,1,0,0,0,0,1,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,1,2,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,2,0,1,0,0,2,0,0,0,0,1,1,1,1,0,0,1,0,1,1,0,1,1,2,1,1,1,0,0,2,0,0,1,2,0,2,0,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,2,0,0,0,1,1,2,0,0,0 1,0,2,2,2,0,1,1,1,2,1,1,1,1,2,1,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,1,0,1,1,1,2,0,0,0,1,0,0,1,2,1,0,1,0,0,2,1,0,0,0,1,1,0,0,1,0,0,2,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,2,2,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,1,2,0,2,1,0,1,0,0,0,0,0,1,1,1,1,0,0,2,0,2,0,0,2,0,0,0,0,1,1,0,1,0,1,0,1,2,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,2,0,0,0,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,2,0,1,0,1,0,0,2,0,0,1,0,0,0,0,0,0,1,2,1,0,0,0,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,2,1,1,0,1,0,2,0,0,2,0,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,1,0,0,2,1,2,0,1,1,0,0,0,2,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,2,1,1,2,1,1,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,2,0,0,0,2,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,1,0,1,1,1,1,1,1,0,1,2,2,1,0,1,0,0,1,2,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,2,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,2,1,0,1,0,0,0,0,1,0,1,0,1,0,2,1,0,1,0,1,1,1,0,1,0,0,1,0,2,0,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,2,0,1,0,0,0,2,0,1,1,0,0,0,0,0,0,0,1,0,2,0,1,0,0,1,1,0,1,2,1,0,1,2,0,0,1,0,0,1,2,0,1,0,0,2,0,0,0,1,2,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,2,0,0,0,0,0,1,2,0,1,0,2,1,0,1,0,2,0,2,0,2,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,2,0,2,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,2,0,0,1,0,1,0,0,0,0,0,0,1,0,1,2,0,2,1,2,1,1,2,1,0,0,1,2,0,1,1,0,0,0,0,1,2,0,0,0,0,1,1,0,0,1,1,1,1,1,2,1,0,1,2,2,0,0,0,1,0,0,2,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,1,0,0,2,1,0,2,1,0,1,1,1,0,0,1,0,1,0,0,1,2,0,0,1,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,2,2,0,0,1,0,0,0,1,1,2,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,2,1,1,0,0,0,1,1,1,0,1,1,0,1,0,0,1,2,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,2,0,0,0 1,0,0,2,1,1,0,1,0,2,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,2,1,0,2,0,2,1,0,0,1,0,2,0,1,2,1,2,0,0,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,2,1,0,0,0,0,0,1,2,0,2,0,0,2,2,1,0,0,0,1,1,0,1,0,1,1,0,2,1,2,0,1,0,1,0,1,0,2,0,1,0,1,1,1,2,2,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,2,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,2,0,0,2,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,2,2,0,1,0,0,1,2,0,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0,1,2,0,0,1,2,1,2,0,0,0,2,2,2,0,1,0,0,0,0,0,0,0,0,1,1,2,0,2,1,0,0,1,2,1,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,2,0,1,0,1,0,0,2,1,0,2,0,2,0,0,1,1,2,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,1,0,1,1,1,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,1,1,0,1,2,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,1,2,1,1,2,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,2,2,1,0,1,0,2,0,2,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,1,1,2,1,0,2,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,1,0,0,2,0,1,0,1,1,2,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,2,2,0,1,1,1,1,1,0,0,1,0,2,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,2,2,0,0,0,0,2,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,2,1,0,0,0,0,1,2,0,0,1,1,2,0,1,1,0,0,1,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,2,0,1,2,0,1,0,0,0,1,2,0,0,0,2,0,0,0,2,1,2,0,0,1,1,0,2,0,1,0,1,1,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,2,0,1,0,0,0,0,1,2,0,1,0,0,0,0,1,1,1,1,1,1,2,0,2,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,1,1,0,1,0,1,0,1,1,0,2,1,0,0,0,0,0,0,1,0,1,0,1,1,2,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0,1,1,1,2,0,0,0,0,0,1,0,0,2,1,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,0,1,1,2,0,0,1,0,0,1,0,1,2,0,0,1,0,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,1,0,1,1,0,1,0,1,1,2,1,0,1,1,2,0,1,1,0,0,0,0,0,0,0,1,2,0,0,0 0,0,0,1,1,0,0,0,1,0,2,1,0,1,1,1,0,2,2,0,0,0,0,0,1,1,1,2,0,1,1,0,1,1,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0,2,0,0,0,1,1,0,1,1,1,1,1,0,1,2,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,2,1,0,0,1,1,1,0,0,0,0,1,0,2,2,1,0,1,1,1,1,1,0,2,0,1,1,2,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,2,0,0,1,1,0,1,2,0,0,0,0,0,1,1,2,1,0,1,0,0,0,0,0,0,2,0,1,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0,2,1,1,2,2,1,2,0,0,0,1,1,0,0,1,2,0,1,0,1,0,0,0,0,0,0,1,0,2,0,1,0,0,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,0,0,1,1,1,2,0,0,0,1,1,1,0,1,1,1,0,0,0,2,1,0,0,0,0,1,1,2,0,0,0,0,1,2,1,1,1,1,1,0,1,2,0,0,0,0,0,2,0,0,1,0,0,2,1,1,1,1,0,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,1,2,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,2,0,0,0,0,0,1,1,0,2,0,0,1,0,1,2,0,0,0,1,1,0,0,0,1,1,0,0,2,0,2,0,0,0,0,0,1,0,1,0,1,0,0,2,0,1,1,1,1,0,1,1,0,0,1,1,1,0,1,1,0,2,0,0,0,1,0,0,0,0,0,1,2,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,0,0,2,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,2,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,2,1,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,2,0,1,1,0,1,2,1,1,0,0,2,0,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,2,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,2,0,0,2,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,2,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,2,0,0,0,0,2,1,1,0,1,0,2,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,2,1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,1,2,0,0,0,1,2,0,0,0,0,0,1,0,0,1,0,1,0,0,0,2,0,0,2,0,1,2,0,1,0,1,0,1,0,0,0,2,1,1,0,1,2,2,1,1,1,1,0,0,1,0,2,0,1,1,0,2,0,1,0,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,2,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,1,1,1,0,1,0,0,0,2,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,2,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,2,0,0,0,0,0,1,0,1,0,2,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,1,1,2,0,0,0,0,1,1,1,1,2,0,1,0,1,2,1,0,0,0,2,2,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0 1,0,1,1,1,0,1,0,1,1,2,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,2,0,2,0,1,0,1,2,0,0,2,2,0,1,1,0,0,1,0,2,1,0,1,1,0,0,0,0,0,1,0,0,0,2,1,0,0,1,2,1,0,0,2,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,1,1,0,1,1,2,0,1,0,0,0,0,2,2,1,0,0,0,0,1,0,0,1,0,2,0,0,1,2,2,1,1,0,0,1,0,1,1,1,1,0,0,2,0,0,0,0,1,0,2,0,1,2,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,2,0,1,0,2,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,2,1,0,1,0,0,2,1,1,2,0,2,0,1,0,1,2,1,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,1,1,1,0,0,2,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,2,2,1,0,0,1,2,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,1,1,0,0,2,0,0,1,1,2,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,1,1,1,2,0,0,0,0,2,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,2,0,0,1,0,1,1,1,2,1,0,0,2,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,2,1,1,0,0,0,1,1,0,0,0,0,1,1,0,2,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0,2,0,1,0,0,0,1,0,1,1,1,1,0,2,0,0,1,0,0,1,0,1,0,0,1,2,0,0,0,0,0,1,0,0,0,1,2,0,0,0,2,1,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,2,0,0,1,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,1,0,0,2,0,0,1,2,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0,1,2,0,0,0,1,2,2,2,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,2,1,0,0,0,1,0,0,1,2,0,0,2,0,0,0,1,0,0,0,0,2,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,1,1,0,1,0,1,1,1,2,0,0,0,0,1,0,1,0,2,1,0,0,0,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,1,2,1,0,0,0,0,1,0,2,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,2,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,2,1,2,2,0,1,0,2,0,1,2,2,1,2,0,1,0,1,1,0,1,0,0,1,2,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,2,1,1,1,0,1,0,0,0,0,1,0,1,2,0,0,0,0,1,1,2,0,1,1,0,0,1,0,1,0,1,2,1,1,0,1,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,2,0,0,0,0,0,1,0,2,1,2,0,0,0,1,0,2,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,0,1,1,1,1,0,1,0,1,0,1,2,0,0,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0,1,0,2,0,0,0,0 1,0,1,0,0,0,1,0,1,1,1,2,1,0,1,0,0,1,2,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,1,0,0,2,0,0,1,0,1,1,0,1,0,1,0,2,1,0,1,0,1,0,1,1,2,1,0,0,1,0,0,1,0,1,0,0,2,1,1,0,0,1,1,1,0,0,0,0,0,1,1,0,2,0,1,1,0,0,0,0,2,1,1,0,1,0,0,2,0,0,1,0,1,1,1,1,0,0,1,1,0,1,2,1,0,0,0,2,1,0,0,0,1,0,0,0,1,2,0,2,0,0,1,0,1,1,0,0,1,2,2,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,2,0,1,1,2,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,2,0,0,1,0,0,0,0,0,0,1,1,0,1,2,0,1,0,1,1,0,0,0,0,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,1,1,0,1,2,0,1,2,2,1,0,1,0,0,0,0,0,1,1,1,0,1,1,1,1,0,2,1,0,1,2,0,2,2,0,0,0,2,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,2,0,1,2,1,1,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,1,0,2,2,0,0,0,1,1,1,1,0,2,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,2,1,0,1,0,0,0,0,0,1,0,0,0,1,2,0,0,0,1,0,0,1,0,0,0,1,1,2,1,1,2,0,0,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,1,2,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,2,1,1,0,1,0,0,1,1,2,1,1,1,0,0,1,0,0,0,0,1,0,1,2,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,2,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,2,0,0,0,0,1,1,0,2,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,1,1,1,0,2,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0,1,2,0,2,1,0,1,0,1,0,0,2,0,1,0,1,2,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,2,0,0,2,0,0,1,1,0,0,1,2,2,0,0,1,2,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,2,0,1,1,0,0,2,0,0,1,1,0,1,0,2,1,0,1,2,1,2,0,2,0,2,0,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,2,0,0,0,2,1,1,0,0,0,1,0,0,0,2,0,0,1,0,1,0,0,0,1,0,0,0,0,2,0,0,0,1,2,0,0,0,0,1,0,1,2,1,1,2,2,1,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,2,1,1,0,2,1,0,1,0,0,0,0,2,2,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,1,0,0,2,0,1,0,0,0,1,0,2,2,1,0,1,0,2,1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,2,0,0,1,1,1,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,1,1,1,0,1,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,0,2,1,0,0,0,1,1,1,2,1,1,0,0,0,0,0,2,0,0,2,0,1,0,0,2,1,1,0,0,0,2,1,2,0,1,1,0,1,0,1,2,0,1,0,1,1,0,2,2,0,0,0,0,0,2,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,2,0,1,0,0,1,2,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0 0,0,2,0,0,1,0,0,0,1,2,0,0,2,0,0,0,1,1,0,0,0,0,0,1,1,1,0,1,1,2,0,1,0,1,0,0,1,2,0,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,1,0,0,1,1,1,0,0,0,0,1,1,1,0,0,1,0,2,1,1,0,2,1,0,0,2,0,0,1,0,1,2,1,0,1,0,2,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,1,0,2,0,0,1,0,0,0,0,1,1,1,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,2,1,2,1,0,0,1,1,1,0,2,0,0,0,1,0,0,0,0,1,1,0,0,1,1,1,0,0,1,0,1,1,0,2,1,0,1,0,2,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,2,0,0,1,1,0,0,1,1,2,2,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,2,1,0,2,0,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,1,2,0,0,1,0,1,1,0,2,0,0,1,1,0,1,1,1,1,2,2,0,2,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,2,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,2,1,1,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,1,1,1,0,1,0,2,0,1,0,1,0,0,0,1,0,1,2,0,0,0,0,1,0,0,0,0,0,1,0,2,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,1,2,0,1,0,0,0,2,1,1,1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,2,2,1,0,2,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,2,1,0,1,1,1,0,1,0,1,2,0,0,0,0,0,2,0,0,0,1,2,0,0,1,0,1,1,2,0,0,0,0,1,1,0,0,1,1,1,0,2,0,0,0,1,0,2,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0,0,1,1,1,0,1,0,1,1,2,2,2,0,0,1,1,0,2,1,1,0,0,0,2,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,2,1,2,0,0,1,1,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,1,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,1,1,1,1,1,1,1,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,2,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,2,1,1,2,0,1,0,2,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,2,0,0,0,0,0,0,1,1,2,1,0,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,1,0,2,1,0,0,0,0,0,1,0,0,2,0 1,0,2,0,2,0,0,1,1,0,1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,1,2,0,2,1,0,1,0,0,1,1,1,1,0,0,0,1,0,1,1,1,0,1,0,2,0,1,1,0,0,0,1,0,0,0,0,0,2,0,1,2,0,0,0,0,1,1,0,0,2,0,1,0,0,0,2,0,0,1,1,1,1,0,0,0,1,1,1,0,2,0,0,0,1,1,1,1,0,0,2,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0,1,0,1,2,0,1,1,0,0,1,1,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,2,0,1,2,1,1,1,0,0,1,0,0,1,0,2,2,1,0,0,0,0,0,0,1,0,0,1,0,1,2,1,0,1,0,1,0,0,1,1,1,0,2,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,1,0,2,0,1,0,1,0,1,1,0,0,0,0,1,2,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,1,1,1,2,0,0,1,0,0,0,1,1,0,1,0,2,0,0,1,0,0,1,0,0,0,0,1,0,2,1,0,2,0,0,0,2,0,0,0,0,0,2,0,1,1,1,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,1,1,2,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,1,1,0,1,0,2,0,1,0,1,0,1,1,2,2,0,0,0,1,0,2,0,0,1,0,2,2,0,0,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0,0,1,1,0,1,0,1,0,0,1,0,2,0,0,0,0,1,0,0,0,0,1,0,0,1,2,0,0,0,0,1,1,0,0,0,1,0,0,2,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,1,1,1,2,0,0,1,2,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,0,2,0,0,1,0,1,1,1,0,0,1,1,2,1,2,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,0,2,1,0,0,0,1,1,0,0,0,1,0,1,0,2,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,2,1,2,0,0,2,0,1,0,0,0,0,1,2,1,0,0,0,2,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,2,0,1,0,0,1,1,2,0,1,0,0,0,0,0,1,0,0,0,2,0,1,0,1,2,0,0,0,0,1,1,0,1,1,1,0,2,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,0,2,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,2,0,1,2,1,2,2,1,0,1,1,0,1,1,0,2,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,2,0,0,0,0,1,0,2,1,2,1,0,0,1,1,1,2,0,1,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,0,1,2,0,0,0,0,1,0,1,0,0,1,2,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,1,1,2,1,1,0,1,0,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,1,1,1,0,1,2,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,2,0 2,0,1,1,1,0,0,1,0,1,1,0,0,2,2,0,1,0,0,0,0,1,0,0,2,0,2,1,0,0,1,0,1,0,0,0,1,0,1,2,1,2,2,1,1,0,1,0,0,0,1,1,0,0,0,0,2,0,2,1,0,0,1,1,0,1,0,2,0,0,1,0,1,1,0,0,2,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,1,1,0,2,0,1,0,0,2,1,1,0,1,0,2,0,0,0,2,1,1,0,1,2,1,0,1,0,0,0,0,0,0,1,1,2,0,0,1,0,0,1,0,2,0,0,0,0,1,1,2,2,1,0,0,0,0,1,0,0,1,0,0,1,1,0,2,0,0,0,0,1,0,0,1,0,2,1,1,1,0,2,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,2,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,1,1,0,0,0,1,0,2,1,0,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,2,1,0,0,1,1,0,1,0,1,0,1,1,1,1,1,0,2,1,2,2,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,1,1,1,2,1,1,0,0,1,1,1,2,0,0,0,0,1,1,1,1,2,0,0,1,0,2,1,1,0,1,0,0,2,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0,2,0,0,0,1,0,0,1,0,0,1,0,0,0,2,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,1,2,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,2,0,0,0,1,2,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,2,1,0,0,0,0,0,2,1,0,0,1,0,1,0,0,1,2,1,1,2,0,1,0,0,0,0,2,2,0,1,0,0,0,1,2,1,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,1,1,1,1,1,1,2,0,0,2,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,1,0,2,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,2,1,0,1,0,1,2,1,0,0,1,0,0,0,0,0,2,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,2,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,2,0,0,0,2,1,1,2,1,1,0,1,0,1,0,0,0,0,1,1,0,2,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,2,0,1,1,1,0,0,1,1,1,0,2,1,1,0,1,0,0,0,1,1,1,0,1,0,2,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,2,0,1,0,1,0,0,0,0,2,0,0,0,2,1,0,0,0,0,0,1,0,0,0,1,0,2,0,1,1,0,0,0,0,0,1,1,2,0,1,0,1,0,2,0,0,1,1,1,0,0,0,1,2,2,0,0,0,0,1,0,1,2,1,0,1,0,0,0,0,1,1,0,0,1,1,1,1,0,2,0,0,1,0,1,0,0,0,1,1,0,0,0,2,0,0,1,0,0,1,1,0,2,0,0,1,1,0,0,0,1,1,1,0,2,0,0,0,0,1,1,1,0,2,0,0,1,1,2,0,1,1,2,1,1,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0 0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,2,1,0,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,1,1,2,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,2,0,1,0,0,0,1,0,0,1,2,0,0,1,2,0,0,0,0,0,1,0,1,0,0,1,0,1,1,1,0,0,2,1,0,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0,2,0,1,1,1,2,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,2,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,1,2,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,2,0,1,0,0,1,1,0,0,2,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,1,1,1,0,0,2,1,0,2,0,0,0,1,0,0,0,1,0,1,1,0,0,2,0,0,1,1,2,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,2,0,0,0,0,0,1,0,0,0,0,2,0,1,0,1,0,0,0,0,1,0,1,0,0,0,2,0,1,1,0,0,0,0,0,1,0,0,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0,2,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,2,1,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,0,0,0,0,1,2,0,1,0,1,0,0,0,1,1,2,2,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0,1,2,1,1,0,0,1,0,1,2,1,1,1,1,1,0,1,1,1,0,0,1,2,1,0,0,0,0,1,1,1,0,1,0,1,1,1,1,2,0,0,0,0,0,0,1,0,1,2,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,1,2,0,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,1,2,0,0,0,1,0,0,0,1,0,1,0,0,0,2,0,0,1,1,1,1,2,0,0,0,0,0,2,0,0,0,1,0,2,0,1,0,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0,2,0,1,0,0,1,0,0,0,0,1,1,2,1,0,2,0,0,0,2,1,0,0,1,0,1,2,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,2,1,0,0,0,0,1,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,2,0,0,2,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,1,1,1,0,0,0,1,1,0,2,1,0,0,1,0,2,1,0,0,0,0,1,0,2,0,2,0,1,0,0,0,0,0,0,1,2,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,2,1,0,0,0,1,1,1,2,0,0,1,0,0,0,0,0,2,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,1,0,1,1,0,1,1,1,1,2,0,0,1,1,2,1,2,1,1,0,0,1,1,0,2,0,1,0,2,0,1,1,0,1,2,0,2,0,0,0,2,0,1,0,1,2,0,0,0,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,1,2,0,1,2,0,0,0,0,0,0,1,1,2,1,1,0,1,0,1,0,0,0,0,1,0,1,1,2,2,1,0,1,0,2,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,1,1,1,0,2,1,0,1,1,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,1,0,1,2,0,0,0,2,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0 0,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0,2,0,0,0,0,0,1,2,2,1,0,1,0,0,0,1,0,0,1,0,0,2,1,0,1,0,1,1,1,2,0,0,2,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,2,0,1,0,0,1,1,0,0,0,1,0,1,0,1,0,2,0,0,1,1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0,1,1,2,0,0,0,0,1,1,0,2,1,1,2,0,0,0,1,0,0,0,0,0,0,2,1,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,2,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,2,1,1,1,0,0,1,0,2,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,2,0,1,1,2,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,2,2,1,0,1,1,0,0,0,0,2,0,0,1,0,1,0,0,0,0,1,1,1,0,1,2,0,1,1,0,2,0,2,1,0,1,0,0,0,0,1,1,0,1,0,1,2,1,1,1,2,0,0,2,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,2,0,1,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,2,1,0,2,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,2,1,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0,2,1,0,0,1,0,2,0,0,1,2,1,1,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,1,0,0,0,2,1,0,1,0,1,0,0,1,1,2,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,2,0,1,0,1,2,1,1,1,0,0,1,2,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,1,2,0,1,1,0,0,0,1,1,1,1,1,1,1,1,2,0,0,0,0,0,2,0,0,0,1,1,0,1,0,0,1,0,0,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,1,1,0,0,0,1,0,1,1,2,0,0,0,0,0,0,0,0,1,2,0,1,0,0,0,1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,1,1,0,2,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,2,0,2,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,2,2,0,0,1,1,2,1,0,0,0,2,1,0,0,0,2,1,2,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,1,2,0,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,2,0,0,1,0,1,1,0,0,0,0,2,1,1,1,0,0,1,1,0,0,1,2,0,0,0,2,2,1,2,2,0,1,2,1,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,1,2,1,0,1,0,0,0,0,1,2,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,2,2,0,0,0,0,1,0,0,2,0,0,0,0,1,2,0,0,0,0,0,1,1,2,0,2,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,1,0,0,1,1,2,0,0,0,2,0,0,1,0,1,0,2,0,0,0,0,1,2,1,0,1,0,2,1,0,1,0,1,0,0,1,0,0,1,1,2,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0 0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,2,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,2,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,2,1,2,2,0,2,2,0,0,1,0,1,0,0,0,0,0,2,2,0,0,2,1,0,0,1,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,2,0,0,1,0,0,0,2,1,0,0,0,1,0,1,0,0,2,1,0,1,1,1,0,0,2,0,1,2,0,0,0,0,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,2,0,1,1,0,0,0,2,0,0,0,1,0,2,1,0,0,1,1,1,0,0,0,0,2,2,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,2,0,1,0,2,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0,0,2,1,0,1,0,1,1,2,1,1,2,0,0,0,0,1,0,0,0,0,1,1,0,1,1,2,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,2,1,1,2,0,0,1,0,1,1,0,0,0,1,0,0,1,2,0,2,0,0,0,0,0,1,1,1,2,0,0,0,2,1,1,0,1,2,0,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,2,1,0,0,0,0,0,0,0,0,2,2,2,0,0,1,0,1,1,0,0,1,2,2,2,2,0,2,0,0,1,1,0,0,0,0,0,0,2,0,2,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,2,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,0,2,0,2,0,0,0,2,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,2,1,0,1,2,1,0,0,0,0,1,0,1,1,0,0,2,0,0,0,0,1,0,2,0,0,1,0,0,1,0,0,0,1,0,0,2,1,1,1,0,1,0,1,0,1,2,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,2,1,1,0,0,0,0,1,1,1,1,0,1,2,2,0,1,0,1,0,1,0,1,0,0,1,0,1,1,1,1,1,0,0,2,1,0,2,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,1,0,2,1,0,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,2,0,1,0,0,0,1,0,1,2,0,2,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,2,1,0,0,0,1,0,2,0,0,0,0,2,1,1,1,2,1,2,0,0,0,0,0,2,1,0,2,1,0,1,1,0,1,1,1,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,2,0,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,1,0,2,1,1,1,0,0,0,0,0,2,0,0,1,0,0,2,1,0,0,1,0,1,1,1,1,1,0,0,1,2,0,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,1,2,1,2,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,2,1,1,1,0 1,0,1,0,0,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0,2,0,0,1,1,1,1,0,1,2,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,2,1,0,2,0,1,1,1,1,0,2,0,0,0,0,0,1,1,0,1,0,2,2,1,2,0,0,0,1,1,0,0,0,1,0,1,1,1,1,0,1,1,1,1,1,0,1,1,1,0,0,0,2,1,1,0,1,0,0,0,0,2,2,0,1,0,2,0,0,0,0,1,1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,2,1,0,0,0,0,0,1,0,2,0,0,1,0,0,1,1,1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,1,1,0,2,0,0,0,0,0,0,1,2,0,1,0,1,0,2,1,0,0,2,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,2,1,1,0,2,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,2,1,0,1,0,1,1,2,0,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,2,0,2,0,0,1,1,2,2,0,0,1,0,0,1,2,2,0,0,1,0,0,0,1,0,1,2,0,0,1,0,0,1,0,2,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,2,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,0,2,0,1,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,2,1,0,0,0,1,2,0,0,1,0,1,0,0,2,1,0,0,1,0,2,1,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,2,0,0,0,1,0,2,0,0,0,0,2,1,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,2,2,1,1,0,0,0,2,1,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0,2,1,1,0,0,1,1,0,1,1,1,0,1,1,1,2,1,0,1,0,2,2,1,0,1,1,2,2,2,1,1,0,0,1,2,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,2,0,0,1,2,0,0,2,2,0,0,2,0,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0,2,0,0,0,1,0,0,0,0,1,0,0,0,1,0,2,2,0,1,1,0,1,0,0,1,0,0,1,0,0,2,0,1,1,1,0,1,0,0,1,1,2,0,1,0,0,0,0,1,2,1,0,1,0,2,1,1,0,0,1,0,0,0,0,2,1,0,0,0,0,1,0,0,0,1,2,0,1,0,2,0,2,0,1,0,1,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,2,1,2,0,1,1,2,1,0,0,2,0,0,1,0,2,2,0,0,2,1,0,2,0,0,0,1,1,1,0,1,0,2,2,0,0,0,1,2,1,0,0,1,1,1,2,1,0,0,2,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,2,1,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,1,1,1,0,2,2,0,2,1,0,0,0,1,0,2,1,0,0,0,2,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,2,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,1,2,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,2,0,1,0,0,2,2,0,0,0,0,0,2,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,2,1,0,0,1,1,1,2,0,0,0,0,1,1,1,1,0,1,0,0,0,2,0,1,0,0,0,0 0,0,0,1,0,0,2,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,2,0,1,1,1,1,1,0,1,1,0,0,1,1,0,1,1,1,1,1,0,2,0,0,1,0,0,0,1,0,1,0,2,1,0,1,1,0,0,0,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,2,0,1,2,1,1,0,2,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,1,1,2,0,0,0,0,1,0,0,2,1,2,0,0,1,1,1,1,2,0,0,1,1,0,1,2,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,2,1,1,1,1,0,1,0,0,1,0,0,2,0,1,0,0,1,2,1,1,1,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,1,1,0,0,1,0,2,0,2,0,1,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,1,2,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,1,1,1,1,1,0,2,0,0,1,0,0,1,0,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,2,0,0,0,0,2,1,2,0,0,1,2,0,1,1,2,2,0,0,1,0,1,0,0,1,0,0,0,0,2,0,0,1,0,0,0,2,0,0,0,1,1,1,0,1,2,1,2,0,1,2,1,2,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,0,0,2,0,0,1,0,2,2,0,2,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0,2,0,1,0,1,1,0,0,1,0,0,0,0,2,2,2,0,1,0,1,0,1,0,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,2,0,1,0,0,0,2,2,1,0,1,0,2,0,0,1,0,0,1,1,2,0,0,0,2,2,1,0,0,1,0,0,2,0,0,1,0,0,0,1,1,1,1,0,1,1,0,1,1,0,1,1,2,1,1,0,2,0,0,1,1,0,2,0,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,2,1,0,0,0,0,2,1,2,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,2,0,1,0,0,0,0,0,0,2,0,0,1,2,1,0,0,0,0,1,1,1,2,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,2,1,1,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,2,1,0,2,0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,2,2,0,1,0,0,1,2,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0,2,0,2,0,0,1,0,1,1,2,0,2,0,1,0,0,1,0,0,0,2,0,2,1,1,1,0,0,0,2,0,0,0,1,1,0,0,0,2,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,2,2,0,2,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,2,1,1,0,1,2,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,1,2,1,2,0,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,2,0,0,0,1,0,2,0,1,1,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,1,0,0,1,0,1,1,2,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0 0,0,1,1,1,2,0,1,1,0,1,0,0,2,1,0,0,1,0,0,0,0,0,1,2,1,1,2,2,0,2,0,1,1,0,0,0,2,1,0,1,1,0,0,1,1,0,2,0,2,0,0,0,1,0,0,0,1,2,2,0,0,1,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,2,0,1,1,0,0,0,0,0,0,1,0,1,0,0,2,1,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,1,1,1,0,0,0,0,0,1,1,0,1,0,2,0,0,1,0,0,1,1,0,0,0,1,2,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,2,1,1,0,1,0,1,1,0,0,0,0,0,0,0,2,0,1,2,0,1,0,0,2,0,0,2,1,0,1,1,0,0,1,0,0,1,2,0,2,2,0,0,0,0,0,1,0,0,1,0,1,2,1,0,0,0,1,0,0,1,0,1,0,1,0,2,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0,2,1,0,1,0,2,2,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,2,2,1,1,0,2,0,0,1,1,0,2,0,0,0,0,0,1,0,0,0,0,2,1,0,1,0,0,1,1,0,0,1,0,0,0,0,2,0,0,2,1,0,1,0,2,0,0,0,1,2,0,1,0,1,0,1,0,1,0,0,0,0,1,1,1,0,0,1,1,1,1,2,1,0,0,2,0,0,0,1,0,0,2,1,0,0,0,2,0,0,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,2,0,2,1,0,0,0,0,0,0,0,0,1,1,1,2,1,0,0,0,1,0,0,2,1,0,1,1,0,1,1,0,1,0,2,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,2,2,0,0,0,0,1,0,1,1,0,0,0,0,1,1,2,0,0,2,0,0,0,0,0,0,0,0,1,0,1,1,0,2,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,2,0,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,2,2,2,0,0,0,1,0,2,1,2,0,0,0,0,1,0,1,2,0,0,1,0,1,0,0,2,0,1,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,1,1,0,2,0,0,0,2,0,0,1,2,0,1,0,1,1,0,1,0,1,0,2,0,1,1,2,1,0,0,1,0,1,1,0,0,1,0,1,2,2,0,0,0,2,0,0,1,2,0,1,2,0,2,1,1,1,1,0,1,0,1,0,2,0,1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,2,1,0,0,0,0,1,1,1,1,1,0,0,1,1,1,1,1,0,2,1,0,1,0,0,1,0,1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,2,1,1,0,1,0,0,1,0,0,1,0,2,0,0,1,0,0,0,1,0,0,0,0,1,2,1,1,1,1,1,1,0,0,2,2,0,2,1,1,1,0,0,0,0,2,1,0,0,0,2,0,1,0,0,0,1,2,0,0,0,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,1,1,2,1,1,1,0,1,2,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,1,2,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,1,2,2,1,1,0,0,2,0,0,1,1,0,0,0,0,0,0,1,0,1,0,1,1,0 1,0,0,1,0,0,0,0,1,2,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,2,1,2,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,2,0,0,0,1,0,2,1,2,1,1,0,1,0,0,0,1,2,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,2,0,1,0,0,2,0,0,0,0,0,0,1,0,2,1,0,0,0,2,0,0,0,1,0,0,0,1,0,1,0,1,0,2,1,1,0,0,0,2,0,1,1,0,1,0,0,1,0,0,0,1,2,0,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,2,1,1,1,1,1,0,1,0,0,0,0,0,0,0,2,0,2,1,0,0,0,1,2,2,0,0,0,0,1,0,1,0,0,0,1,1,0,1,2,1,2,1,1,1,1,2,0,1,1,2,2,0,0,1,1,2,0,0,0,0,0,0,0,0,1,0,1,2,1,0,2,0,0,0,0,0,0,0,1,2,0,2,1,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,0,0,2,0,1,0,1,0,1,0,0,2,1,2,1,0,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,1,2,1,0,1,1,2,1,1,0,0,0,0,2,1,0,0,1,0,0,1,2,0,1,0,2,0,2,0,0,1,0,2,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0,1,1,0,2,2,1,0,0,0,0,1,0,0,2,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,2,0,2,1,0,0,0,0,1,2,1,2,0,1,1,1,0,2,0,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,1,2,1,0,0,0,1,1,1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,1,0,0,0,0,1,0,0,2,2,0,2,1,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,2,1,0,0,1,0,1,2,0,0,1,2,1,0,0,0,1,0,2,1,1,1,0,0,0,1,2,0,0,0,2,0,1,0,0,0,0,0,0,1,2,1,1,1,0,2,1,1,1,2,1,1,0,1,2,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,2,1,0,0,1,0,0,1,2,1,0,1,0,1,1,2,0,1,1,0,0,0,0,0,1,0,0,1,0,2,0,2,1,1,0,1,2,1,0,0,0,1,0,1,1,1,0,0,0,0,2,1,0,0,1,0,1,1,1,0,1,0,2,0,1,1,0,0,0,0,2,0,0,2,0,2,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,2,0,1,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,2,1,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,2,1,0,1,1,0,0,0,0,0,1,0,0,1,1,2,0,1,2,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1,1,1,2,1,2,2,1,2,0,0,0,2,2,0,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,2,1,1,0,1,1,1,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,2,0,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,1,1,1,0 1,0,1,1,0,1,1,1,1,2,0,1,0,1,2,0,0,1,0,0,0,1,0,0,1,0,0,2,1,1,0,0,2,1,0,0,0,0,0,0,0,2,0,1,1,1,0,2,0,0,1,0,0,0,1,0,2,0,1,2,0,0,1,0,0,1,1,0,0,0,0,2,1,1,0,1,1,0,0,0,1,0,0,0,1,2,2,0,2,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,1,0,2,0,1,0,1,0,1,0,0,0,1,1,2,2,0,0,0,0,0,1,0,1,1,0,0,2,1,1,0,0,0,0,0,2,0,0,1,1,0,2,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,2,1,0,2,0,0,0,1,0,0,1,2,0,0,0,0,0,1,1,1,0,1,0,2,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,1,2,2,1,0,1,0,0,1,0,0,1,1,0,0,2,1,0,0,0,0,0,1,0,1,0,2,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,2,1,0,1,1,0,0,0,1,2,0,1,1,1,1,1,0,2,0,1,0,2,2,0,1,0,0,0,1,0,0,1,0,0,0,1,2,0,0,0,0,0,0,0,2,1,1,0,0,0,2,0,1,0,1,0,1,1,0,1,2,1,1,0,0,1,0,0,1,1,2,0,1,2,0,1,0,0,2,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,0,1,0,0,1,1,0,1,0,1,1,0,0,1,0,2,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,1,2,0,1,0,1,0,1,2,0,1,0,1,1,0,1,2,0,1,0,0,0,0,0,1,0,0,1,1,0,0,2,0,1,1,0,0,1,0,0,0,0,1,0,2,1,0,1,0,1,0,1,0,0,0,0,1,0,1,1,1,0,0,0,2,0,1,1,2,0,1,1,0,0,0,0,0,1,0,1,1,1,2,0,1,0,0,0,0,2,1,0,0,0,1,1,0,0,2,0,0,0,2,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,2,0,0,0,0,1,1,0,0,0,1,0,2,1,0,0,0,0,0,0,1,1,2,0,1,1,1,1,2,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,1,2,0,2,0,1,2,0,0,0,1,1,0,1,0,1,1,0,0,1,2,1,2,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,0,2,0,0,0,0,0,1,2,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,2,1,1,0,1,1,1,2,0,0,0,0,0,2,1,1,1,1,0,1,0,1,0,0,1,2,0,1,1,0,0,2,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,1,1,2,0,0,0,2,0,0,1,2,1,0,1,0,0,0,2,0,1,0,0,1,0,0,1,1,0,0,0,0,0,2,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,1,1,1,0,2,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,2,1,0,1,1,0,1,0,0,0,0,0,0,1,1,1,2,0,0,0,2,1,1,1,0,0,1,0,2,0,0,1,0,2,1,0,0,1,2,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,2,0,0,2,2,0,0,1,2,1,1,1,0,0,1,1,0,0,0,0,0,2,1,2,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,1,2,2,1,0,1,0,0,2,1,1,1,0,0,1,2,0,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,1,0,1,0,2,1,2,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,2,0,2,0,1,2,0,0,0,2,0,2,0,0,1,1,0,0,0,0,1,0,1,1,0 1,0,0,1,0,0,1,1,0,1,2,1,0,1,2,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,2,0,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,2,0,2,0,0,2,0,0,0,0,0,1,0,0,2,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,2,0,1,0,0,0,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,2,1,2,0,0,1,0,1,0,0,0,0,0,0,2,0,1,2,1,0,1,1,0,0,1,1,1,0,1,1,0,2,0,0,0,0,1,1,1,0,2,0,0,0,0,2,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,2,0,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0,2,1,1,1,0,1,0,1,0,1,1,1,1,0,2,0,1,1,1,0,1,2,0,0,0,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,1,0,2,1,1,1,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,2,1,0,0,2,0,0,2,1,1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0,1,2,1,0,1,1,1,0,0,0,0,1,1,0,0,0,2,0,2,1,0,2,0,1,0,1,2,1,0,0,0,2,2,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,1,0,0,1,0,0,1,1,0,2,0,0,0,1,1,1,1,0,0,0,0,1,1,0,2,1,0,0,1,0,0,1,0,2,0,0,0,1,1,1,0,0,2,1,1,0,2,1,0,1,0,0,0,0,0,0,2,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,2,0,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,2,1,0,0,0,0,1,0,0,1,1,0,0,1,2,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,2,1,1,0,0,1,2,1,1,0,2,1,0,2,0,0,0,0,0,0,0,0,2,1,1,2,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,2,2,0,1,0,0,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,1,0,1,0,2,0,0,0,2,1,0,0,2,0,2,0,2,1,0,1,0,1,1,1,0,2,1,0,0,0,1,0,0,2,0,1,0,0,1,0,0,2,1,1,0,1,1,0,1,1,2,1,1,1,0,0,0,2,1,0,2,0,1,1,1,0,2,0,2,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,1,0,2,0,0,0,0,0,1,0,0,2,0,1,0,0,0,1,0,1,0,2,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0,2,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,2,0,0,1,0,0,1,1,1,0,1,0,1,0,0,2,2,0,0,0,0,1,2,0,1,0,1,1,0,0,0,0,0,0,0,1,0,2,0,0,0,1,1,0,0,0,2,0,1,0,0,2,1,0,0,1,0,1,0,0,0,2,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,2,1,0,1,0,2,0,0,2,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,2,2,0,1,1,0,0,0,0,1,2,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,1,0,0,2,0,1,0,0,1,0,0,1,1,0,0,1,2,1,0,2,0,0,0,0,0,0,0,0,2,1,0,2,0 1,0,1,1,0,0,0,1,1,1,1,0,1,2,1,2,0,1,1,0,1,0,1,0,0,1,0,2,0,1,0,0,1,0,1,0,2,0,0,0,0,2,0,1,1,0,1,1,0,0,2,0,0,0,0,0,2,0,1,1,0,0,1,0,0,1,1,1,1,1,1,0,2,1,1,0,0,2,0,0,0,0,0,0,2,1,0,0,1,0,2,1,1,0,0,1,0,0,0,0,1,1,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,2,0,2,0,0,1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,2,0,2,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0,2,0,1,1,0,0,1,0,2,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,2,1,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,1,0,0,1,2,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,2,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,1,1,2,0,0,0,0,1,1,2,1,0,2,0,0,0,2,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,1,0,2,1,1,0,0,0,0,0,0,1,1,1,0,1,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,2,0,2,1,0,0,1,0,0,0,1,0,2,1,0,0,1,0,2,0,1,0,0,0,0,2,2,0,0,1,1,1,1,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,1,1,0,1,2,0,0,2,0,0,0,2,0,2,1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,2,0,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,2,1,0,1,0,2,2,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,2,0,1,1,2,0,0,0,0,1,1,2,1,1,2,1,1,1,1,2,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,2,1,2,0,0,0,1,0,2,1,0,0,0,0,2,1,0,0,1,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,2,0,0,1,1,0,1,1,2,1,1,0,0,0,0,0,1,1,0,0,0,1,1,1,2,2,1,1,0,0,0,2,1,2,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,2,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,1,1,1,0,1,2,0,2,0,1,0,0,0,0,1,0,0,1,1,2,1,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,1,0,0,1,1,0,2,1,1,1,0,1,0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,1,1,2,1,1,1,0,2,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,2,2,1,0,1,0,0,0,0,0,1,1,2,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,2,1,0,1,2,0,0,1,1,0,0,1,2,0,1,1,0,0,0,1,0,0,2,0,0,1,0,0,0,1,1,0,1,0,1,0,0,1,0,1,0,2,1,1,0,1,0,0,0,0,1,1,0,2,0,0,2,1,2,1,0,0,1,1,2,0,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,2,1,0,2,1,1,1,0,1,1,2,0,0,0,2,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0 0,0,1,2,0,0,0,1,1,0,1,1,0,2,1,1,0,1,0,0,1,0,1,0,0,2,1,1,0,0,1,0,0,1,0,0,0,1,0,0,2,2,0,2,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,1,0,0,1,1,0,1,0,2,0,0,1,0,0,0,0,0,0,1,2,1,0,2,0,0,1,1,0,0,0,0,0,2,0,0,1,0,0,1,1,0,0,1,0,0,2,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,2,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,2,0,0,0,0,1,0,1,0,1,0,1,0,0,0,1,1,1,0,0,2,0,0,1,1,0,0,0,1,1,0,1,0,0,2,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,1,2,0,1,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,2,1,1,0,2,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0,2,0,1,0,0,2,1,1,1,0,0,0,0,0,0,0,1,0,0,1,2,2,0,0,0,1,1,0,2,0,1,1,0,1,0,0,1,0,0,2,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,1,2,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,2,0,0,1,2,0,0,0,1,1,0,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,2,2,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,2,1,1,0,1,0,2,0,1,0,1,1,0,0,0,1,1,0,1,2,0,0,2,0,0,1,0,0,0,0,0,1,2,1,1,0,1,0,0,0,2,1,1,0,0,0,0,1,1,0,1,0,2,0,1,1,2,0,1,0,0,0,1,0,0,0,2,1,2,0,0,2,0,1,2,1,0,1,1,0,0,1,1,0,1,1,2,0,0,0,0,1,0,0,0,2,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,1,0,2,1,0,1,1,0,0,0,1,1,1,1,2,1,2,0,0,0,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,2,1,0,1,0,1,2,0,0,0,0,0,0,2,0,0,0,0,1,2,1,1,0,2,0,1,2,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,2,1,0,0,0,2,2,2,0,0,0,0,0,1,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,2,0,0,1,1,0,0,0,0,1,1,0,2,0,1,0,1,0,0,1,2,2,0,0,0,1,0,0,0,0,1,2,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,2,0,2,1,1,1,0,0,0,0,2,1,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0,1,2,2,1,2,1,1,0,0,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,2,0,1,0,0,0,0,2,0,1,0,0,0,1,1,1,0,2,0,0,2,1,0,1,2,2,0,0,1,1,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,2,0,2,0,1,0,0,2,1,2,1,2,0,0,0,0,2,0,2,0,2,0,0,2,0,0,1,0,0,2,2,2,1,0,1,0,1,1,0,2,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0 0,0,2,0,0,0,1,2,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,2,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,2,1,1,0,0,1,2,0,0,0,0,1,0,0,0,1,0,0,0,2,0,1,1,0,1,0,2,1,0,1,1,1,0,1,0,1,2,0,0,0,0,0,2,1,0,0,0,1,1,1,1,0,0,0,2,0,0,0,0,0,2,2,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,2,0,1,1,2,2,2,1,0,1,2,1,2,0,1,0,0,2,0,2,1,0,0,0,0,0,0,0,0,1,1,1,1,2,2,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,2,1,0,2,1,0,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,1,1,2,0,0,1,1,1,0,1,0,0,1,0,2,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,2,0,0,0,1,1,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,2,2,2,0,2,1,0,0,0,0,1,1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,2,1,0,1,1,0,0,1,2,1,0,0,0,2,1,1,0,0,0,0,1,1,1,2,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,2,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,1,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,2,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,1,1,1,0,0,2,0,0,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0,1,1,1,1,0,2,1,0,0,1,1,0,1,2,0,1,0,0,0,2,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,2,0,1,0,0,1,0,0,1,1,2,0,1,1,0,0,1,0,0,1,0,0,0,1,1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,2,2,1,1,2,0,1,0,1,0,1,0,0,0,1,1,0,1,1,2,0,1,2,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,2,1,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,2,0,2,0,0,1,0,1,0,0,0,2,0,0,0,1,1,0,0,1,0,0,2,1,0,1,2,0,2,1,0,0,1,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,2,1,0,0,1,0,2,2,0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,2,0,0,0,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,2,1,1,0,1,0,1,0,0,1,0,1,1,1,1,0,1,1,1,0,0,0,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,2,0,0,0,1,0,2,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,2,1,0,0,1,1,0,1,0,0,0,0,2,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,2,0,1,0,0,0,0,0,0,1,0,0,2,0,1,0,0,0,0,1,1,2,2,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0 1,0,0,1,0,1,1,0,0,2,1,0,0,1,1,1,0,0,0,0,0,1,1,0,1,2,1,2,0,0,2,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,2,0,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0,2,1,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,1,2,2,0,0,0,1,1,1,0,0,0,1,0,0,0,2,1,1,0,0,1,0,0,0,0,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0,2,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,1,1,1,1,0,1,0,0,1,0,2,0,1,0,0,0,0,0,0,0,1,0,2,1,1,0,1,0,1,0,0,2,0,0,0,0,0,0,1,1,2,1,0,0,2,0,0,1,0,1,0,0,0,1,2,0,1,2,1,0,2,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,2,1,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,2,1,0,1,0,0,0,0,0,0,1,0,1,2,1,0,0,0,0,0,1,0,0,1,2,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,2,0,0,0,0,2,2,0,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,2,1,0,0,0,2,0,0,2,2,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,2,0,0,0,0,0,0,2,0,0,0,0,1,1,2,1,0,0,0,0,1,0,0,0,0,0,0,0,2,1,2,0,0,2,0,0,0,0,0,2,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,2,0,2,0,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,2,0,0,1,2,0,2,1,0,2,2,1,0,1,0,0,0,0,0,2,0,1,0,1,0,1,0,2,1,0,2,1,0,1,2,0,0,0,0,1,1,2,0,0,0,0,2,0,0,0,0,1,0,0,0,2,1,0,0,1,1,0,0,1,0,1,2,2,0,2,1,0,2,0,1,2,1,0,1,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,2,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0,2,1,0,1,0,2,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,1,1,2,1,1,0,1,1,1,0,1,2,1,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,2,1,1,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,2,0,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,2,0,0,0,1,0,0,1,2,0,1,1,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,0,1,0,0,0,0,1,0,0,0,1,1,0,2,0,0,1,0,0,1,0,1,2,1,0,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,2,2,0,1,0,1,0,1,0,0,0,0,0,2,0,0,0,0,1,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,2,1,1,0,1,2,1,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,1,0,0,0,1,1,1,0,0,1,1,1,0,1,0,1,2,2,0,1,1,0,2,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0,2,0,0,1,0,0,1,0,0,2,0,0,1,0,1,0,0,1,2,2,0,1,0,0,1,0,0,2,0,0,2,0,1,1,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0 0,0,1,0,1,0,1,2,1,0,0,0,0,0,2,1,0,2,2,1,0,0,1,0,2,1,1,2,0,1,1,0,0,1,0,0,1,0,0,0,1,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,2,0,1,0,0,0,2,1,1,1,0,0,0,1,1,0,0,0,1,1,0,1,0,1,1,1,2,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,2,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,1,1,0,2,0,1,0,1,0,2,2,0,0,0,0,0,0,1,1,1,1,2,0,1,0,0,0,0,1,0,0,2,1,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,0,2,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,2,2,0,0,1,0,2,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,1,1,1,1,0,1,2,0,0,0,2,1,0,1,0,0,0,1,1,0,2,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,2,0,0,1,1,0,0,2,0,2,0,0,1,0,1,0,1,0,0,2,0,0,0,0,1,2,1,0,0,0,0,1,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,1,0,0,0,1,1,2,1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0,2,2,0,1,1,1,0,1,0,2,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,1,1,1,0,1,0,0,0,2,0,0,0,0,0,2,2,1,2,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,2,0,1,1,2,2,1,1,0,1,0,0,0,1,1,1,0,0,2,0,0,0,2,0,1,0,0,1,0,1,1,2,0,0,0,1,2,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,2,0,1,1,1,0,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,1,1,0,0,1,1,1,2,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,2,1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,2,1,1,0,2,0,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,2,1,0,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,1,1,1,2,1,0,1,0,0,1,1,1,1,0,2,1,1,0,2,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,2,0,0,0,1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,2,0,0,0,0,0,0,1,2,2,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,2,0,1,0,1,1,1,0,1,2,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,2,0,0,0,0,0,1,1,0,0,0,2,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0 1,0,1,0,1,1,0,2,0,1,1,0,0,1,1,0,0,1,1,1,0,2,1,1,0,2,1,2,0,0,1,0,0,1,1,0,1,1,2,1,0,0,1,1,0,0,0,2,0,2,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,2,2,1,2,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,2,0,0,0,1,2,2,0,0,0,1,1,0,1,0,1,0,1,0,1,1,1,0,2,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,2,0,2,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,2,1,0,0,1,0,0,1,0,1,1,0,0,0,0,2,0,1,0,0,1,0,1,0,1,1,1,0,2,0,1,0,1,2,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,2,1,1,0,0,1,0,1,2,1,2,0,0,0,1,0,1,0,0,1,2,0,0,1,0,1,1,0,0,1,1,0,1,0,2,1,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,2,2,1,1,2,0,2,0,1,1,0,1,0,0,0,0,2,2,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,2,1,0,1,2,1,0,1,0,0,0,0,1,0,1,2,1,0,0,1,1,1,0,1,1,2,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,2,2,0,0,0,1,0,0,1,0,0,1,1,0,0,2,0,1,0,0,0,0,0,0,0,0,1,0,0,1,2,0,2,0,0,0,0,2,0,0,0,0,2,1,0,1,2,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,2,0,0,1,0,0,0,0,2,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,1,2,0,1,1,2,1,0,1,0,1,0,0,0,1,1,0,0,2,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,2,1,1,1,0,0,1,1,1,1,0,0,2,0,0,1,0,0,1,0,1,0,1,0,2,0,1,0,1,0,2,0,0,0,1,0,1,1,0,2,0,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,2,1,2,0,1,2,1,0,2,0,0,1,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,1,2,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,2,1,0,1,2,1,1,1,1,2,0,0,1,0,1,0,0,0,0,0,2,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,1,1,1,0,2,1,1,2,0,2,1,2,0,0,0,0,0,1,1,2,1,0,1,0,0,0,1,0,1,1,1,1,1,1,0,0,1,2,1,0,0,1,1,1,2,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,2,2,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0,0,0,2,0,2,0,1,0,0,0,1,1,0,1,1,2,0,0,1,1,0,2,0,1,0,1,1,0,0,1,0,0,0,1,0,1,2,1,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,0,1,2,1,0,0,2,0,0,2,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0 1,0,0,1,1,0,0,1,0,2,2,1,0,1,2,0,0,1,0,0,1,0,1,0,2,0,1,1,0,0,1,0,1,0,0,0,1,0,1,1,2,2,0,1,0,0,0,1,0,0,2,0,1,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,1,1,2,0,0,0,0,0,1,0,1,1,1,0,2,1,0,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,2,1,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,2,0,1,2,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,2,1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,2,1,2,0,0,1,0,0,0,2,1,1,0,0,0,0,0,0,1,2,1,1,0,1,0,0,0,0,0,0,0,0,1,0,2,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,2,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,2,1,0,2,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,1,1,1,0,2,0,2,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,0,1,2,0,2,0,0,0,1,0,2,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,1,0,2,0,0,1,0,1,2,0,0,0,0,0,0,1,2,0,0,0,1,1,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,2,0,1,1,0,0,0,0,0,1,0,0,0,1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,1,2,0,0,1,0,0,0,2,2,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,0,0,2,0,0,1,0,1,1,0,1,0,0,0,1,1,1,1,1,0,0,1,0,1,2,1,0,0,0,0,1,1,0,0,0,1,0,2,0,0,0,1,0,2,2,0,1,0,0,0,0,1,0,0,0,1,0,1,0,2,0,1,1,2,0,0,2,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,1,2,0,0,0,0,1,2,0,1,0,1,1,0,0,0,1,1,0,2,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,1,0,2,0,0,1,2,0,0,0,0,0,2,0,0,2,2,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,2,2,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,2,0,0,0,2,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,2,1,0,2,1,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,1,0,0,0,0,2,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0,0,2,1,1,0,0,0,2,0,0,0,0,0,0,1,0,0,1,0,0,1,0,2,1,0,2,1,1,0,0,0,2,0,1,1,1,0,0,0,0,2,0,0,0,0,2,1,0,0,0,1,0,0,0,2,1,2,0,0,2,0,0,1,0,2,0,0,0,1,0,1,2,1,0,1,0,0,0,0,0,1,0,0,2,0,1,1,0,0,0,0,0,1,1,1,1,0,0,0,1,1,0,0,2,1,0,1,0,1,1,0,1,0,1,1,0 1,0,1,1,0,0,0,0,0,1,1,0,0,0,1,2,0,2,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,1,0,2,1,1,0,0,1,1,0,1,0,2,1,1,0,0,0,2,1,1,1,0,0,0,0,0,2,1,0,1,1,2,1,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,1,0,1,0,2,0,0,0,0,1,1,0,0,0,0,1,0,1,0,2,1,1,0,1,2,2,0,0,0,1,0,0,1,1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,1,2,0,2,0,0,1,0,0,0,0,0,0,1,0,1,0,2,0,0,1,0,2,0,0,0,1,2,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,2,1,0,1,0,0,0,0,0,1,2,0,0,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,2,0,1,0,2,1,0,0,0,2,0,1,1,0,0,0,1,1,0,1,0,0,2,0,2,1,0,1,1,0,0,0,0,0,1,1,0,1,0,1,1,2,0,1,0,0,0,1,0,1,1,0,0,0,1,0,2,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,2,1,0,1,1,0,0,1,0,1,0,1,2,0,2,0,1,1,1,0,1,0,0,2,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,2,1,1,0,1,0,0,0,1,1,2,1,0,1,2,1,1,0,1,0,2,1,0,1,0,0,2,0,1,1,1,0,0,2,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,2,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,2,1,1,1,1,0,1,1,2,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,2,0,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,2,1,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,2,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,2,1,1,1,0,1,1,0,0,1,0,1,0,2,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,1,1,0,0,2,1,0,0,1,0,0,1,0,1,0,1,1,2,0,0,2,1,0,0,0,2,0,0,0,0,0,1,2,1,0,0,1,1,0,2,0,2,0,2,0,0,0,0,0,1,1,1,0,1,1,1,2,0,2,0,1,0,0,0,0,0,1,1,2,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,2,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,2,0,0,1,1,0,0,0,1,1,1,0,0,1,1,0,1,0,2,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,2,0,0,1,1,0,0,2,1,1,1,1,0,1,2,0,1,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,1,1,0,2,0,1,0,0,1,1,0,1,0,1,1,1,1,1,0,2,1,0,0,0,0,1,2,0,0,1,1,0,1,0,2,0,0,1,0,0,1,0,1,2,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,2,0,2,0,2,1,1,1,1,1,0,0,0,2,1,1,0,0,2,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,1,1,2,0,0,1,0,0,0,1,1,0,0,1,0,1,1,0,0,0,2,1,2,0,0,2,1,0,0,0,0,0,0,1,0,1,1,0 1,0,0,1,1,0,0,1,0,2,2,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,1,2,0,2,2,0,2,0,0,0,2,2,0,0,0,1,0,1,2,0,0,0,1,0,2,0,0,0,0,0,2,1,0,1,1,0,0,0,0,1,0,2,0,2,2,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0,2,1,0,0,0,0,0,1,0,1,0,1,0,2,1,1,0,1,0,2,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,2,0,1,0,0,0,0,1,1,0,0,0,0,0,2,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,2,0,0,1,1,0,0,1,1,1,1,1,1,1,2,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,1,2,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,2,2,0,0,1,0,0,1,1,0,0,2,0,0,0,1,0,0,0,1,1,0,0,0,2,1,0,0,0,2,2,1,0,1,0,2,1,0,0,0,2,0,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,1,2,1,0,0,0,1,0,1,1,1,1,0,0,2,0,1,1,0,0,1,0,1,1,0,2,0,0,1,0,1,0,0,0,2,0,1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,2,0,1,1,2,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,1,0,0,1,0,1,1,0,0,1,1,1,1,1,1,0,1,1,0,1,1,0,0,0,2,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,2,2,0,2,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,1,2,1,2,0,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,1,0,0,2,0,1,0,1,0,1,2,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0,2,1,2,1,2,0,0,1,0,1,0,0,0,1,1,2,0,2,0,0,1,1,2,0,0,1,0,0,1,2,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,2,1,0,0,1,0,0,1,0,0,0,0,1,2,0,0,0,1,0,0,0,2,0,1,2,0,0,2,1,1,2,0,0,2,0,0,0,0,1,1,0,1,0,1,0,1,0,1,2,1,0,0,1,1,1,0,1,2,0,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,2,1,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,2,2,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,2,1,1,0,0,0,0,1,1,2,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,1,0,0,1,2,1,0,1,1,0,0,1,0,1,0,2,0,0,0,1,0,0,1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,2,0,0,1,1,0,1,0,0,0,1,1,0,1,2,0,0,2,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,2,1,2,0,0,1,0,1,0,0,0,1,0,0,0,2,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0 1,0,0,2,1,0,1,0,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,2,1,0,0,0,0,0,2,0,2,1,0,0,0,0,0,0,2,2,2,1,2,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,1,1,1,2,0,0,0,0,0,1,0,1,1,0,2,1,2,1,1,0,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,1,1,1,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,2,0,2,1,1,0,2,0,0,0,0,0,2,0,0,1,0,0,1,1,0,2,1,0,0,1,1,0,0,0,1,1,1,1,1,0,1,0,1,0,0,2,1,0,1,0,1,0,0,1,0,1,1,0,0,2,0,0,0,1,1,1,2,0,0,1,1,0,0,1,1,0,0,1,0,2,1,1,0,0,1,0,2,0,0,1,0,0,2,1,1,0,0,1,0,1,1,1,2,2,0,0,1,1,0,0,1,0,1,0,1,1,1,2,0,0,0,0,1,1,0,0,1,0,2,2,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,0,0,1,1,1,0,1,0,0,1,2,0,0,0,0,0,0,2,1,0,1,0,0,1,1,1,1,1,0,1,1,0,0,1,1,1,2,2,0,1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,1,2,0,1,2,1,0,1,0,1,2,0,0,0,0,0,2,0,1,2,1,1,0,2,0,1,1,0,2,1,1,1,0,1,0,1,1,1,0,0,0,2,0,0,2,0,0,2,1,1,0,0,0,0,1,2,0,0,1,2,1,0,0,0,1,1,1,0,1,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,1,0,0,1,2,0,1,1,0,0,0,0,0,0,2,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,1,1,2,1,0,0,0,1,0,0,0,0,0,0,0,2,1,1,1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0,1,1,0,1,0,1,1,1,1,2,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,2,1,0,0,0,0,1,1,1,1,1,0,1,0,0,1,1,1,0,2,2,2,1,1,1,0,0,0,2,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,2,1,0,2,0,1,1,2,0,0,0,0,2,1,1,0,0,0,0,0,0,0,1,1,0,0,0,2,1,0,0,0,1,0,2,1,2,0,0,0,0,1,0,2,1,0,0,1,0,1,1,0,2,1,0,1,0,0,0,1,1,2,0,1,0,2,0,1,2,2,0,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,1,1,1,1,1,0,2,1,1,0,2,0,0,1,1,0,1,1,1,0,1,1,1,0,0,0,0,1,2,0,2,0,2,0,2,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,1,1,1,2,1,0,1,0,0,0,0,2,0,1,1,1,0,0,1,2,1,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,1,2,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,2,2,1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,2,0,1,1,0,2,0,0,0,2,1,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,2,0,0,1,1,1,0,1,2,2,2,0,0,0,1,0,2,0,0,1,1,0,0,0,0,1,0,0,0,0 2,0,1,0,1,0,0,0,1,1,1,2,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,1,2,0,0,0,2,0,2,1,1,1,2,1,1,1,0,0,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,2,0,1,1,0,1,0,0,0,0,1,1,1,1,1,0,0,1,0,2,1,2,0,0,0,0,0,1,0,1,0,1,0,1,1,2,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,2,2,1,0,1,1,2,2,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0,2,0,0,2,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,2,1,2,0,1,1,1,0,0,0,2,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,1,2,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,2,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,2,0,1,1,1,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,2,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,2,1,0,2,2,0,1,1,0,2,2,2,1,0,2,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,2,1,2,0,1,1,0,0,0,0,1,2,1,2,0,1,1,1,1,0,1,0,0,2,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,2,1,1,1,0,0,1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,1,1,1,0,1,1,0,0,2,2,0,1,0,0,0,0,1,0,0,1,1,0,2,0,0,1,1,0,0,0,0,0,0,1,1,1,1,0,1,2,1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,2,2,1,1,0,1,0,1,1,0,0,2,1,0,0,1,0,1,0,0,1,0,1,0,0,0,2,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,2,1,2,2,1,0,0,2,2,0,0,0,0,0,0,0,1,1,0,1,2,0,0,1,2,0,0,0,0,0,1,1,0,2,0,1,0,1,0,0,1,1,0,1,0,0,2,1,0,0,0,0,1,2,1,0,1,0,0,2,0,1,0,1,0,0,0,0,1,2,2,1,2,1,1,0,0,0,1,0,1,0,1,1,0,2,2,1,1,0,0,0,2,0,0,0,0,0,2,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0,1,2,0,1,0,0,0,1,1,1,0,2,0,1,2,1,0,1,2,1,0,0,0,2,0,1,1,1,2,1,1,0,1,0,2,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,2,0,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,2,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,2,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0 1,0,1,2,1,0,1,2,0,1,0,0,1,1,2,1,0,2,0,0,0,0,0,0,0,0,0,1,1,2,1,0,1,0,0,0,1,1,1,0,1,1,0,0,2,0,0,0,0,1,1,0,0,1,1,0,0,0,2,1,1,0,0,0,0,0,0,1,0,2,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,2,1,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,2,0,0,2,0,1,0,1,0,2,0,1,0,0,2,0,2,0,1,0,1,0,1,2,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,2,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,2,0,1,2,0,0,0,0,0,0,2,2,1,2,1,2,1,0,1,1,2,0,0,0,0,1,2,0,0,1,1,0,0,0,2,0,1,2,1,0,1,1,0,0,2,0,2,0,0,1,1,0,0,0,0,0,0,0,2,2,1,0,0,1,0,1,0,1,0,0,0,0,2,0,1,0,0,0,0,0,1,2,0,0,1,0,0,1,1,1,0,0,1,0,2,0,1,1,0,0,0,0,1,2,0,0,0,1,1,1,0,1,1,0,0,0,0,0,0,2,0,0,1,1,1,0,2,0,2,1,1,0,2,0,0,0,1,1,1,0,0,0,1,1,0,1,1,2,0,0,2,0,0,0,0,1,0,1,0,1,1,0,0,0,2,0,0,0,0,1,0,1,2,1,0,1,0,1,1,0,0,1,0,0,2,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,2,1,0,1,0,0,0,1,2,1,1,0,0,0,2,0,2,0,1,0,1,1,1,0,1,1,0,0,0,2,1,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,1,2,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,2,1,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,2,0,1,1,1,0,1,0,0,0,2,0,2,1,0,0,1,0,0,2,1,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,1,2,1,0,0,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0,2,2,0,1,2,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,1,2,0,0,0,2,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,2,1,0,0,0,1,0,1,0,0,0,0,1,2,0,2,1,0,0,1,1,1,0,1,1,0,0,1,0,1,1,1,0,1,1,1,0,2,1,0,1,0,1,0,2,1,1,0,0,0,2,1,1,1,0,0,0,1,0,1,1,0,1,0,2,0,0,0,0,0,0,1,0,2,1,0,0,2,2,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,1,1,0,0,0,1,1,0,1,0,2,1,1,0,0,0,0,0,0,1,1,1,2,1,0,2,1,0,0,2,0,0,1,0,1,0,1,0,0,0,1,2,0,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,2,1,1,0,1,0,0,0,0,0,2,1,0,0,0,0,0,2,1,0,0,0,1,0,0,0,1,2,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,2,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,2,1,1,0,0,0,1,0,1,0,0,1,0,1,0,0,1,2,0,1,0,1,0,1,1,0,2,2,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,2,1,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,1,0,2,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,2,1,2,1,0,2,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0 1,0,0,1,1,0,0,1,1,1,2,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,2,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,2,2,0,0,1,0,0,1,0,0,2,2,0,0,0,0,0,1,1,0,0,0,1,0,2,0,1,0,0,1,2,0,2,0,1,1,1,2,1,1,0,0,0,0,0,1,0,1,1,2,0,0,1,1,0,0,2,0,0,0,0,0,2,0,2,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,0,1,0,0,1,1,2,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0,1,0,0,2,0,2,1,0,0,1,2,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,2,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,2,0,2,1,0,0,1,0,0,2,1,0,0,1,0,0,0,1,0,1,0,1,0,2,1,0,0,1,2,1,0,0,0,0,2,1,0,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,2,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,2,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,2,1,0,2,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,2,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,1,1,1,1,2,1,0,1,1,0,0,2,0,1,0,1,1,0,0,1,0,0,0,2,0,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,1,2,0,0,1,1,1,0,0,1,0,1,0,0,1,1,2,1,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,2,0,1,0,2,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,2,1,1,1,1,1,0,0,1,0,0,1,1,0,1,1,1,1,0,0,1,2,0,0,2,0,0,0,1,1,2,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,1,1,2,0,0,0,0,1,0,0,0,2,1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,2,0,1,0,1,0,1,0,0,0,0,0,0,1,2,0,1,1,2,1,1,0,0,0,2,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,2,1,2,0,0,1,2,0,0,0,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,2,0,0,1,0,0,2,0,0,1,0,1,1,0,0,0,0,1,2,1,1,0,2,1,1,1,1,0,0,1,0,1,1,0,2,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,2,0,1,2,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0,1,2,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0,2,0,1,0,0,0,1,2,0,1,0,1,0,2,1,0,0,1,1,0,0,0,0,0,0,1,1,1,1,0,1,0,1,1,0,0,2,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0,1,1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,1,1,0,2,0 0,0,0,1,1,1,0,0,0,0,1,2,0,1,1,0,0,1,0,0,0,0,0,1,1,2,1,1,1,0,1,0,2,0,0,0,1,0,0,1,2,2,0,1,2,2,0,0,0,1,1,1,0,0,1,0,2,0,0,1,1,0,2,0,0,2,0,0,0,0,1,0,2,2,1,1,0,0,0,0,0,0,0,1,1,1,2,0,1,0,1,1,0,0,0,1,1,0,2,0,0,1,1,2,1,2,0,0,1,1,2,2,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,2,0,0,1,1,0,1,0,1,0,1,0,2,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,2,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,1,2,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,1,1,2,2,1,0,0,0,0,1,0,1,0,0,1,2,0,0,0,1,0,0,1,1,1,1,2,0,0,1,1,0,1,2,1,1,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0,2,0,1,1,0,0,0,0,2,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,0,2,0,0,0,0,2,0,1,0,2,1,0,0,0,0,1,1,0,1,1,1,0,0,1,1,1,0,0,2,1,1,0,0,0,0,2,1,0,0,0,1,2,0,0,0,2,2,0,1,0,1,1,0,2,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,1,1,2,1,0,0,0,0,0,2,0,2,0,1,2,0,1,1,1,0,0,2,2,1,0,1,0,0,0,1,1,0,1,0,0,2,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,2,1,1,2,0,1,0,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,2,0,0,0,0,1,0,0,0,0,2,1,0,1,0,1,0,0,0,0,2,2,0,1,0,0,0,1,0,1,2,2,0,1,0,0,2,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,2,1,0,0,1,0,0,1,1,0,2,0,0,0,0,0,1,1,1,1,1,0,0,0,1,1,1,0,1,1,0,0,2,0,1,0,1,0,1,0,1,2,1,1,2,0,2,0,1,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,1,2,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,0,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,1,2,1,1,0,0,0,2,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,2,1,2,1,0,0,2,0,1,1,1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0,2,0,0,0,0,1,0,0,1,0,0,1,1,0,2,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,1,1,2,1,0,1,0,0,0,0,1,0,1,0,0,1,2,0,1,0,2,0,1,2,1,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,1,1,0,2,1,1,1,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,1,0,0,1,2,0,0,0,1,0,2,0,1,0,0,1,0,0,2,0,0,1,0,0,0,0,1,1,0,0,0,0,2,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0 1,0,1,2,0,1,1,1,0,2,1,1,0,1,2,1,0,1,0,0,0,1,0,1,2,1,1,1,0,0,0,0,0,1,0,0,0,2,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,2,0,1,1,0,0,0,0,1,2,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,2,0,1,2,1,0,1,0,0,0,1,0,1,1,0,1,2,1,0,1,1,1,0,0,0,1,1,2,0,2,1,1,0,1,0,1,0,0,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,2,0,1,0,1,0,0,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,2,0,1,0,0,1,0,0,0,0,0,0,1,1,1,0,1,1,1,1,0,1,0,0,2,1,0,0,1,0,0,2,2,0,0,0,1,0,0,2,0,2,2,2,0,0,1,1,0,2,1,0,0,0,1,0,1,0,0,0,0,2,0,1,2,0,0,0,1,2,1,0,1,0,0,0,1,2,2,1,1,1,0,0,1,1,1,2,0,1,0,0,2,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,2,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,1,2,2,0,0,0,1,1,0,0,1,1,0,0,2,0,1,0,1,2,1,2,0,2,0,0,1,0,2,1,0,0,2,1,0,1,1,0,0,0,0,0,1,1,1,1,0,0,2,0,2,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,1,0,1,0,2,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,2,0,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0,1,1,1,1,1,0,2,2,1,0,0,0,0,0,0,0,0,2,1,2,1,1,1,1,0,0,2,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,1,0,1,1,1,1,2,0,2,0,0,0,1,0,1,0,0,0,0,0,2,0,1,0,0,0,0,2,0,1,1,0,2,0,2,0,2,1,1,0,1,2,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,2,0,0,0,2,1,1,0,0,2,1,0,0,0,1,0,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,2,0,1,1,1,0,0,0,1,2,1,0,0,0,1,1,2,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0,1,0,1,1,0,2,1,2,0,1,1,1,0,1,0,1,2,2,0,0,1,0,2,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,2,1,0,1,0,2,1,1,0,1,0,1,0,1,0,0,0,0,2,1,1,2,1,0,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,2,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0,1,2,0,1,1,0,0,1,0,1,0,2,0,1,1,0,1,2,0,1,0,0,0,0,0,1,0,1,2,2,0,2,2,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,1,1,1,0,0,1,0,1,2,1,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,2,1,0,0,1,0,1,1,1,1,0,0,0,1,2,0,2,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,2,1,0,2,0,0,0,0,1,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0 1,0,0,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,0,0,0,2,0,1,1,1,2,0,1,1,0,1,0,0,0,0,0,2,0,1,2,1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0,2,0,0,0,0,0,0,1,0,0,1,1,2,1,1,0,1,1,2,0,1,2,0,0,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,1,1,1,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,1,0,0,2,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,2,1,0,0,1,0,1,0,1,0,0,2,1,0,1,1,0,0,2,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,2,1,0,1,1,1,2,1,0,0,1,1,2,0,0,1,0,0,0,0,0,1,2,2,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,1,0,1,1,0,2,1,0,0,1,0,2,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,2,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,1,1,1,0,2,0,0,1,0,0,0,1,2,2,0,0,2,0,0,0,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,2,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,2,1,1,0,2,1,0,0,1,1,0,0,0,1,0,0,0,1,1,0,1,1,0,2,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,2,0,1,0,1,1,1,0,0,2,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,2,1,0,0,0,0,1,0,0,2,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,2,0,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,2,0,0,1,0,0,0,1,0,2,2,0,0,0,0,2,0,0,1,0,1,1,1,2,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,1,1,1,0,0,2,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,1,1,1,1,1,0,2,1,0,1,2,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,2,2,1,0,0,0,0,0,1,1,1,1,1,0,2,1,1,2,0,1,0,0,2,0,1,0,0,0,2,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,2,2,1,1,1,0,0,0,1,2,0,1,1,1,0,1,0,1,0,0,0,1,1,2,1,1,0,2,0,1,1,1,0,0,1,0,2,1,0,2,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,2,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,2,0,0,2,0,0,2,0,1,1,0,1,1,1,0,0,1,2,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0,2,0,0,1,0,2,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1,2,0,1,1,0,2,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,2,2,0,0,1,1,1,0,0,1,2,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,1,0,0,0 1,0,0,1,0,1,0,0,0,0,2,0,1,2,1,0,0,1,2,0,0,0,0,0,0,1,2,2,1,0,1,0,1,0,0,0,1,0,0,0,2,1,0,0,2,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,2,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0,2,1,0,0,2,1,0,1,1,1,1,0,0,2,0,0,1,0,1,0,0,0,0,1,2,0,0,1,0,2,0,0,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0,1,1,0,2,1,0,0,0,2,1,0,0,0,2,0,1,0,0,2,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,2,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,1,0,0,2,2,1,2,1,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,1,1,1,1,1,0,2,0,0,1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0,1,2,2,0,0,1,0,1,0,1,1,0,0,1,2,0,1,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,0,1,1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,2,0,0,0,0,0,2,0,1,1,0,0,1,0,0,0,0,1,1,0,2,0,0,0,0,2,1,2,1,0,2,2,1,0,1,0,0,0,0,0,0,2,0,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,2,1,1,0,1,2,0,1,0,0,2,2,0,0,1,2,1,1,0,0,0,0,0,1,1,0,1,1,0,0,2,0,1,1,0,0,1,1,0,0,0,2,0,0,0,2,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,0,0,2,0,0,1,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,2,0,1,0,0,0,0,0,0,0,1,0,1,1,1,1,0,1,1,0,1,0,0,1,0,0,2,1,0,0,0,0,0,0,0,1,1,0,0,2,1,0,0,0,0,0,2,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0,1,1,0,2,0,0,0,1,0,1,2,2,1,0,0,2,1,0,0,2,2,1,0,1,1,0,0,0,1,1,2,0,1,1,0,1,2,1,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0,1,0,0,2,1,0,0,1,2,0,2,0,0,1,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,2,1,0,1,0,1,1,0,1,1,2,0,1,0,0,0,0,2,2,0,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,2,1,0,0,1,0,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,2,0,1,2,1,0,1,0,0,0,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0,2,1,0,1,1,0,1,1,0,1,0,1,2,0,0,0,1,1,2,0,1,1,1,0,1,0,0,0,1,2,2,0,1,1,2,0,0,2,2,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0,1,0,1,1,1,0,1,1,2,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,2,0,0,0,0,1,0,0,1,2,2,1,0,0,0,1,2,1,0,0,1,1,1,2,0,1,0,2,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0,2,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,1,1,0,0,0,2,0,0,0,0,1,1,0,0,2,0,0,2,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0 1,1,1,0,1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,2,1,0,0,0,1,0,1,0,1,0,1,2,1,0,0,1,0,1,0,1,0,0,2,0,0,0,1,0,1,0,1,0,0,0,1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0,2,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,1,1,1,1,1,1,1,0,1,0,2,0,1,0,2,1,0,1,0,0,0,1,0,0,0,0,2,0,0,1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,2,1,0,1,0,0,1,0,1,0,0,2,0,1,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,2,0,1,0,0,0,0,0,0,1,1,0,1,2,0,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,2,0,1,0,0,2,0,1,1,0,0,0,1,0,1,1,2,0,1,1,2,0,1,0,2,0,0,1,1,1,0,1,0,1,0,0,0,2,1,1,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,2,2,1,1,1,1,1,0,0,1,1,0,0,2,0,0,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,1,0,2,0,1,0,0,1,1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,2,0,0,1,0,1,1,0,0,0,1,0,0,1,0,2,2,0,1,1,1,2,0,1,0,0,0,0,0,0,2,1,0,1,2,0,0,1,0,0,0,0,1,1,1,0,1,1,2,0,0,1,2,1,0,1,0,0,1,1,0,2,0,2,0,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,1,1,0,2,1,1,1,1,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,1,1,2,0,1,0,0,0,1,0,2,2,0,0,1,0,2,0,2,0,2,0,0,1,0,0,0,2,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,2,1,2,0,0,0,0,0,0,2,2,2,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,2,1,0,0,0,1,1,0,0,2,0,0,2,0,0,0,2,0,2,1,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,1,0,2,0,1,0,0,0,1,0,0,0,2,0,1,2,1,1,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,2,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,2,1,1,0,0,2,1,1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,0,1,1,1,0,1,1,1,2,1,1,0,0,0,0,1,0,2,1,0,1,1,1,0,0,1,0,0,1,0,1,1,2,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,2,0,0,2,0,0,2,0,2,2,0,2,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1,2,1,0,0,1,0,0,0,0,0,2,2,1,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,2,0,1,0,0,1,1,1,1,1,0,0,0,0,0,2,0,1,2,1,1,1,1,1,2,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0 1,0,1,1,0,1,0,1,2,0,1,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,1,1,1,0,2,0,2,1,0,0,1,0,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,2,0,1,0,0,1,0,0,0,1,1,1,0,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,2,1,1,0,2,0,0,0,2,0,0,0,1,0,1,0,0,1,0,1,2,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0,0,1,0,2,0,1,1,0,2,0,0,0,1,0,0,2,0,1,0,0,1,1,1,0,0,2,0,1,0,1,0,0,0,0,0,0,1,0,2,1,0,1,0,0,0,0,2,1,2,1,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,2,1,0,1,1,0,1,1,0,0,1,1,0,0,2,1,1,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,2,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,1,1,0,0,2,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,2,1,0,0,1,1,1,0,0,0,0,1,0,2,0,2,0,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,1,1,2,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,2,0,0,2,1,0,0,0,1,0,0,1,1,1,0,2,1,1,1,0,0,0,2,1,0,0,0,0,0,1,0,1,0,2,0,2,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,2,0,0,2,0,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,1,1,2,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,2,2,0,2,0,1,0,0,0,1,1,0,1,0,0,1,1,2,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,2,1,1,1,1,1,1,1,0,2,0,0,1,0,0,0,0,1,0,0,0,2,0,0,2,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,1,2,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,2,0,0,1,0,2,1,1,1,0,1,0,0,0,0,1,1,0,2,0,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,2,1,1,0,0,0,1,0,1,0,1,0,0,0,0,1,0,2,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,0,0,2,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,1,2,1,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,1,0,2,1,0,0,2,0,0,1,1,2,0,0,0,2,0,0,1,0,1,1,1,0,2,1,0,0,0,1,0,2,0,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,2,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,2,0,0,0,0,2,0,0,0,1,0,0,1,0,0,2,0,0,1,0,0,0,2,1,1,0,0,2,0,0,1,0,0,0,0,1,0,1,0,2,0,0,1,0,1,0,1,0,0,0,0,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0 0,0,1,1,1,1,1,1,0,0,0,0,0,2,1,0,0,0,0,0,1,0,0,0,2,1,0,2,0,1,2,0,2,1,0,0,2,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,1,2,1,1,0,1,0,0,0,1,0,1,0,0,2,2,1,1,0,0,1,2,0,0,0,0,1,1,0,1,1,0,1,0,0,1,2,1,0,0,0,1,2,2,1,0,0,0,0,0,1,0,0,1,0,0,1,0,2,0,0,0,0,1,1,0,0,0,2,2,2,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,1,1,0,2,0,0,2,0,1,0,0,1,0,0,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,1,1,0,0,2,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,2,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,2,0,0,1,0,1,1,0,0,0,2,0,1,1,0,0,0,2,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,1,1,2,0,1,0,1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,2,2,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,2,0,0,2,0,1,0,1,0,1,1,0,1,0,0,0,0,2,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,1,0,1,2,1,1,2,0,1,1,1,0,1,1,1,0,2,0,1,1,0,0,2,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,2,1,0,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,2,1,0,1,1,0,0,2,0,1,0,1,0,0,1,0,0,0,0,2,1,1,1,1,0,0,1,1,0,0,0,0,1,1,2,0,0,0,1,0,2,1,0,0,0,0,0,0,0,2,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,2,0,0,2,1,0,2,1,1,0,1,1,0,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,1,1,2,0,1,1,0,0,2,0,0,1,0,1,0,0,1,0,0,0,2,1,1,0,0,1,0,0,1,1,2,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0,2,0,1,0,2,1,1,0,1,0,0,0,0,0,0,1,0,1,2,1,0,1,1,2,0,0,0,1,0,0,0,0,1,1,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,2,2,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,1,2,1,0,1,0,0,0,1,0,0,1,0,2,2,2,1,0,0,0,2,0,0,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,0,2,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,1,2,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,2,0,2,0,1,0,1,2,0,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,2,0,1,0,0,0,2,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,2,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,2,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,2,0,0,0 1,0,1,0,1,0,1,0,0,2,1,0,0,1,0,2,0,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,2,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,1,1,2,0,1,1,0,0,1,1,0,0,1,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,2,0,1,0,0,0,0,0,2,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,1,1,2,0,1,0,0,0,1,1,0,0,0,0,2,2,1,2,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,1,2,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,2,0,0,0,0,0,0,1,1,0,1,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,2,1,0,0,0,1,1,0,0,2,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,2,0,0,0,2,0,1,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,0,0,0,2,1,0,2,1,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,2,0,1,0,0,0,1,2,1,1,2,0,1,1,0,2,0,0,0,1,0,1,1,1,1,0,2,1,0,2,0,1,0,0,0,0,1,0,0,0,0,0,2,1,2,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,2,0,0,2,1,1,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,1,0,1,2,1,1,0,1,0,1,0,2,0,0,0,2,0,0,0,1,0,1,0,2,0,0,0,0,1,1,1,2,0,1,1,0,0,0,1,2,0,0,1,0,1,0,0,1,2,0,0,1,0,1,0,2,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,2,0,1,0,1,0,0,0,2,1,2,0,0,1,0,0,1,2,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,2,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,1,1,2,2,0,0,0,0,1,1,1,2,0,1,2,0,0,1,1,0,1,1,0,0,0,1,0,0,0,2,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,2,1,1,0,2,0,0,0,2,2,0,1,2,0,0,0,1,0,1,0,0,2,1,0,0,1,0,2,0,1,0,0,0,2,0,1,0,2,1,0,1,0,1,1,2,1,0,1,0,2,0,0,2,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,2,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,2,0,1,0,0,0,0,1,0,1,1,0,2,0,0,0,1,0,0,0,1,0,0,0,1,1,2,1,0,2,0,0,0,0,1,0,1,0,0,0,2,1,1,0,0,0,1,0,0,1,0,1,0,0,2,1,0,1,2,0,0,1,0,1,0,2,2,0,1,1,1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0,1,0,2,0,0,0,0,0,0,0,2,0,0,1,0,0,1,1,0,1,1,2,0,0,1,1,1,2,1,1,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,1,1,0,1,0,1,1,2,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,1,1,0,0,0,2,0,2,0,0,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,0,1,1,2,0,2,0,1,0,0,2,0,1,0,1,0,0,0,1,0,0,0,0,0,0 1,0,1,1,0,0,0,0,0,0,0,2,1,1,0,2,0,2,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,1,0,2,1,2,1,0,1,0,0,0,2,0,0,2,0,1,0,1,0,1,0,2,0,0,0,1,0,1,1,0,1,1,0,0,1,1,1,2,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,2,0,1,1,2,1,1,0,0,1,0,0,2,0,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,2,1,0,0,1,1,0,1,0,0,0,1,0,1,0,1,0,2,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,2,0,0,0,1,1,0,2,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,1,0,0,2,1,0,0,1,0,1,1,0,1,2,0,0,0,0,0,0,1,1,1,1,1,1,0,1,1,0,0,2,1,0,1,0,0,0,1,0,1,0,1,0,0,1,1,0,0,1,1,1,1,0,2,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,2,0,1,1,0,0,0,2,0,0,1,0,0,0,1,1,1,1,0,2,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,2,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,0,2,1,0,0,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,2,0,2,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,1,0,0,0,1,1,0,1,1,1,2,2,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,2,0,0,2,0,2,0,1,0,2,0,1,0,0,0,1,1,0,0,0,1,1,2,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,2,0,1,0,0,0,0,0,1,0,0,0,1,1,2,0,0,0,0,1,1,0,0,0,0,1,0,2,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,2,0,1,0,0,0,0,1,0,0,0,1,0,2,1,0,0,0,0,0,1,1,0,0,0,0,0,1,2,1,0,0,0,1,1,0,1,2,0,0,0,0,0,0,0,1,1,1,0,2,0,0,0,0,0,0,0,0,2,1,0,1,0,1,1,2,2,1,0,1,0,0,0,2,1,1,0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,2,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,1,2,1,1,0,1,0,2,0,0,1,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,1,1,2,1,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,2,0,1,1,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0,2,2,0,0,1,1,0,0,1,0,0,0,1,1,0,0,2,0,0,1,2,1,0,0,0,0,0,2,1,0,0,0,1,2,2,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,1,1,1,1,2,0,1,0,2,1,2,0,2,1,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,1,2,1,2,1,0,0,0,1,1,1,0,0,0,1,2,0,0,1,0,1,1,0,0,0,0,1,0,2,0,0,0,0,2,1,0,1,1,0,0,1,0,2,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0,1,1,1,0,0,2,1,0,0,0,1,1,0,1,0,2,0,1,0,0,1,0,0,0,0,0,1,0,0,0,2,0,1,2,0,2,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,1,2,1,0,0,1,0,0,2,0,0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,2,0,2,0,1,0,0 1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,0,2,0,0,0,0,0,0,2,0,0,2,0,2,2,0,2,1,1,0,2,2,1,0,0,2,0,2,1,0,0,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0,2,0,0,1,0,2,0,1,0,0,2,0,0,0,0,0,2,1,0,1,1,2,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,2,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,1,1,2,0,0,1,0,1,0,0,2,2,0,2,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,2,0,0,2,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,2,0,1,0,1,1,2,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,2,0,0,2,1,1,0,0,0,0,1,0,0,1,0,1,2,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,2,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,2,1,1,0,1,0,2,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0,1,2,0,0,0,0,0,0,0,2,1,1,0,1,0,0,0,2,0,0,1,1,0,1,0,1,1,1,1,0,0,1,1,0,1,1,0,0,1,0,2,1,1,1,1,0,0,1,2,0,0,1,0,1,0,1,1,0,0,0,0,0,2,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,1,0,1,1,0,0,2,0,0,0,0,0,0,0,2,1,0,1,0,1,0,0,1,0,0,0,0,0,2,1,1,1,0,1,0,0,0,2,1,0,0,0,1,0,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,2,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,2,0,0,1,1,2,0,0,2,1,0,1,1,0,1,0,1,0,0,2,0,1,0,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,2,0,1,0,0,1,0,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,2,1,0,1,0,0,0,0,0,2,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,2,0,1,0,0,0,0,0,0,0,1,1,2,0,0,1,0,0,0,0,0,0,2,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,2,0,2,0,1,0,0,0,1,2,0,0,0,0,1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,2,0,1,0,0,1,1,0,0,0,1,1,2,2,1,1,2,1,0,2,0,1,0,1,2,1,0,1,1,0,2,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,2,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,1,0,1,1,2,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,2,2,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0,1,2,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,2,1,0,0,2,0,2,1,2,1,1,2,0,2,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0 0,0,1,2,2,1,0,0,0,1,1,1,1,1,2,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,1,1,0,1,1,0,0,0,1,1,2,1,1,0,2,1,0,1,0,0,0,2,0,0,0,1,0,2,0,1,0,0,0,0,1,0,0,2,0,0,0,0,2,0,1,0,0,0,0,1,2,0,1,1,0,0,0,0,0,0,0,0,1,2,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,2,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2,1,1,2,0,1,0,1,0,0,2,1,0,1,2,1,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,2,0,1,0,2,0,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,2,0,1,1,1,1,0,0,0,1,2,1,0,0,0,1,0,2,0,0,1,0,0,0,1,1,0,0,0,0,1,1,1,1,1,0,1,1,1,0,2,0,0,2,1,0,1,0,0,1,1,2,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,2,0,1,1,0,1,0,2,0,1,1,1,0,1,0,0,0,2,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,2,0,0,1,2,1,0,1,1,0,0,0,2,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,1,1,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,1,0,2,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,2,0,1,1,2,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,2,0,2,1,2,1,1,0,1,0,1,1,2,0,1,2,0,0,1,2,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,2,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,1,1,0,1,1,1,0,1,0,2,0,2,1,1,1,1,1,0,1,1,0,0,1,2,0,1,0,1,0,1,1,1,1,0,0,0,1,0,2,0,2,0,0,0,2,0,1,1,0,0,1,0,2,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,2,1,0,2,2,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,0,2,0,0,0,0,0,0,0,0,0,1,1,2,1,2,1,1,2,0,1,1,0,2,1,0,1,0,0,2,0,0,0,0,1,2,0,0,1,0,1,1,0,0,1,1,0,1,1,2,2,1,0,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,2,1,1,1,0,1,1,0,1,0,0,1,1,0,2,2,1,0,2,0,2,1,0,0,1,0,0,0,0,2,0,0,0,2,0,1,1,1,1,1,0,0,1,1,0,0,2,0,0,0,0,2,0,0,1,0,1,0,1,1,0,1,1,0,0,2,0,1,0,1,1,0,1,1,0,0,2,1,0,1,0,0,0,1,1,0,0,0,0,2,1,1,0,0,0,0,1,0,0,0,1,0,1,0,2,1,2,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0 0,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,1,0,2,1,1,0,0,2,1,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,1,1,0,1,0,2,1,0,1,0,1,0,0,0,0,1,1,1,0,2,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,1,0,2,0,0,0,1,1,0,0,0,1,1,0,0,1,2,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,2,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,1,1,0,1,1,0,1,1,2,1,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,0,0,1,0,0,2,1,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,1,2,0,1,1,0,2,0,1,0,0,1,1,2,1,1,0,2,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,1,2,2,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,2,2,2,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,2,0,1,2,0,1,1,0,1,1,1,1,0,0,0,0,0,1,2,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,2,0,1,1,1,0,0,1,0,1,0,0,0,2,0,0,1,0,1,0,0,2,2,1,1,0,1,1,0,2,0,0,0,0,2,1,0,0,0,2,0,1,0,1,0,0,1,0,2,0,1,0,2,0,1,2,1,0,0,1,0,1,0,1,0,1,0,2,0,1,0,1,2,0,0,0,1,0,1,1,0,1,1,0,2,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,2,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,2,0,1,2,1,0,1,0,0,2,2,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0,2,2,0,0,0,1,0,0,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,2,1,0,1,0,0,1,1,0,2,1,0,2,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,1,1,0,2,0,0,0,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,2,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,2,1,0,0,2,0,1,1,0,2,0,1,0,0,0,1,1,0,0,0,0,0,2,1,0,0,0,0,2,0,0,1,0,0,0,0,2,2,1,1,0,1,0,0,1,0,1,0,2,1,1,1,0,0,0,0,2,0,0,1,1,0,1,1,1,2,1,1,1,0,0,0,0,0,0,0,1,0,0,2,1,2,2,2,0,0,0,0,0,0,0,0,1,1,1,2,0,2,0,1,0,1,1,0,2,1,0,1,0,0,2,1,0,0,0,0,1,0,1,0,0,0,2,0,0,1,1,0,2,0,0,0,2,0,2,1,0,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,2,1,0,1,2,0,1,1,2,0,1,0,0,2,0,1,1,1,0,1,0,0,1,0,2,0,1,1,1,1,1,0,1,0,1,2,1,0,0,0,0,1,1,0,1,2,1,0,0,1,0,0,0,0,1,0,0,0,1,0,2,1,0,0,1,0,1,0,0,1,0,1,1,0,2,1,0,1,1,2,0,2,0,0,0,0,0,0,1,0,2,1,0,1,0,1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,2,0,0,0,1,0,0,0,2,0,1,1,0,0,0 0,0,1,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,2,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,2,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,2,0,0,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,2,0,2,1,0,0,0,0,0,0,1,0,0,1,0,0,1,2,0,0,0,1,0,0,0,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,2,1,2,1,1,1,0,2,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,2,2,1,0,1,0,0,1,0,2,0,0,2,0,0,1,0,0,0,0,1,0,2,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,2,1,1,1,0,1,0,1,0,1,2,1,1,0,0,1,0,1,1,1,0,0,2,1,0,0,0,1,1,0,1,0,0,2,0,0,2,0,0,1,0,1,1,1,0,0,1,0,0,2,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,2,1,0,0,0,1,0,1,0,0,1,0,0,2,0,0,2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,2,1,1,1,1,0,0,2,0,0,1,1,1,0,1,1,0,1,0,1,0,0,1,2,0,1,2,0,0,0,0,0,0,0,1,1,1,0,2,0,0,1,1,1,0,0,2,0,2,0,0,1,2,1,1,0,0,1,1,2,0,0,1,0,0,1,1,1,0,0,2,0,0,1,0,0,2,0,1,0,1,1,2,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,2,1,0,0,0,0,0,1,0,0,1,2,0,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,1,1,0,1,2,0,0,2,0,0,0,2,0,1,0,1,1,1,1,2,0,0,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0,1,1,1,1,0,0,1,0,0,2,2,2,0,1,1,1,0,1,0,0,1,1,2,0,1,0,0,1,1,0,0,1,1,0,0,0,0,0,1,1,2,0,2,1,0,0,1,0,1,1,0,0,0,0,1,0,1,0,2,2,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0,2,0,0,0,1,2,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,2,1,2,0,2,0,2,0,1,0,0,0,2,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,2,1,0,0,1,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,1,0,0,1,1,0,1,0,1,0,2,0,0,0,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0,1,1,0,2,1,1,0,1,0,0,0,1,0,1,0,1,2,1,1,0,0,1,0,0,2,0,1,1,1,0,2,0,0,1,0,0,0,1,0,1,1,0,0,0,2,1,0,0,1,1,0,1,1,0,0,1,0,2,0,2,1,1,1,0,0,0,1,2,0,1,2,0,0,0,1,2,1,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,1,0,0,1,2,0,2,0,1,0,0,0,1,0,0,0,0,0,1,2,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,2,0,0,0,0,1,0,0,0,1,2,0,0,1,0,1,2,0,1,1,0,0,0,0,0,1,0,0,0,0,1,2,2,0,1,0,0,1,0,0,1,0,0,1,0,0,0,2,2,1,1,0,1,0,0,0,1,1,1,1,0,0,0,1,0,2,0,0,0,0 0,0,0,2,1,0,2,0,2,0,2,1,0,2,1,1,1,1,1,0,1,1,1,1,1,1,0,1,0,0,1,0,1,2,1,0,1,1,0,0,0,0,0,1,2,1,0,1,1,0,1,1,1,0,2,0,1,1,1,0,1,0,1,1,1,1,0,1,1,0,1,0,1,1,2,1,0,1,0,0,0,1,0,0,0,0,0,2,0,0,1,2,1,0,1,0,0,0,2,0,0,0,0,0,2,0,0,0,1,1,0,0,0,1,0,0,0,0,2,2,2,2,0,0,0,0,0,0,1,1,1,1,0,1,0,0,1,0,0,2,1,0,0,1,1,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,1,1,0,2,1,1,0,0,0,1,0,2,0,0,2,0,1,0,2,1,0,0,1,2,0,0,0,1,0,1,0,1,0,0,1,2,0,0,0,0,0,1,2,0,0,1,0,0,0,1,0,0,0,1,1,2,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,2,1,0,1,0,0,0,0,2,1,0,0,0,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0,1,1,2,0,0,2,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,2,2,1,0,1,2,1,2,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,1,0,2,0,1,2,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,0,2,0,0,0,0,1,1,2,0,0,0,0,1,2,0,0,0,0,0,0,1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0,1,2,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,1,2,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,2,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,2,1,0,0,0,0,0,2,2,1,0,0,0,0,0,2,0,0,1,1,1,0,0,1,1,0,0,2,0,0,2,0,0,0,0,1,2,1,0,0,1,0,2,1,2,1,1,1,1,0,1,2,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,2,0,1,1,0,0,2,0,0,0,1,1,0,0,1,2,0,0,2,2,0,1,2,0,0,1,1,0,0,1,0,1,1,1,0,1,0,2,0,0,0,0,0,0,0,0,0,2,2,1,0,1,1,1,1,1,0,1,0,0,2,0,0,2,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,2,1,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,2,0,0,0,1,0,1,1,1,0,0,0,1,1,0,1,0,2,0,1,2,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,2,2,0,0,0,0,1,1,0,2,1,1,2,0,0,2,0,1,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,1,0,0,1,1,2,1,0,0,1,0,0,0,0,2,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,2,1,1,0,1,1,0,0,0,2,0,0,0,0,0,2,1,1,0,0,1,0,0,0,1,2,0,1,1,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,2,0,1,0,0,0,1,1,1,0,0,1,2,0,0,1,0,1,0,1,1,0 0,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0,2,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,1,0,2,2,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0,1,1,2,0,2,2,1,1,1,0,0,0,2,0,0,0,0,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,2,0,0,0,0,2,0,2,0,0,0,0,0,2,0,1,0,2,0,2,1,1,0,1,2,0,0,1,1,1,0,1,1,1,0,1,0,0,0,2,1,2,0,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1,2,0,2,1,0,1,0,1,1,1,1,0,1,0,2,1,0,1,2,0,0,0,0,1,0,1,0,1,0,1,0,2,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,2,0,0,2,0,0,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0,2,0,2,0,2,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,2,0,0,0,0,0,1,1,1,2,1,0,0,1,0,1,0,1,0,0,2,1,2,1,1,0,0,0,2,1,0,0,0,0,0,1,0,1,1,0,0,0,0,2,1,0,1,1,2,1,2,0,0,1,1,1,0,0,1,0,1,0,0,2,1,0,0,0,1,1,1,0,0,0,0,0,0,1,2,0,0,1,0,0,2,0,0,0,0,0,0,0,1,2,0,0,1,2,1,0,1,0,0,1,2,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,2,0,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,0,0,2,0,1,2,0,2,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,2,0,1,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,2,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,1,2,0,0,0,0,0,0,0,2,0,1,0,0,1,0,2,2,0,0,0,0,0,0,1,0,1,0,1,0,2,1,1,0,2,2,0,0,1,1,1,0,1,0,1,2,0,0,1,0,1,1,2,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,1,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,2,0,0,1,0,2,1,0,1,1,2,0,0,0,0,0,1,0,2,0,1,1,0,1,0,1,0,0,0,1,1,1,0,0,1,1,0,1,0,1,0,0,2,2,0,0,2,1,1,0,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,2,1,0,1,0,1,0,1,1,2,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,2,1,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,2,0,0,1,1,1,0,1,0,0,1,1,0,2,0,2,1,0,0,0,0,0,0,0,0,1,2,1,0,1,1,0,0,1,0,0,0,0,1,0,1,2,0,2,0,1,0,0,0,0,1,1,1,2,1,1,1,1,0,0,0,0,2,0,1,1,2,1,0,1,0,0,2,0,0,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,2,0,0,0,0,1,0,0,1,1,2,1,0,1,0,1,0,1,2,0,0,0,1,1,0,0,0,1,0,1,0,2,1,1,1,0,0,0,0,0,1,1,1,0,2,0,1,0,1,0,0,1,0,0,0,0,0,2,2,0,0,0,0,1,0,0,2,2,0,0,1,0,0,0,1,1,0,0,0,2,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,2,0,0,0,0,1,1,0,2,0,0,2,0,1,1,0,0,1,1,1,1,1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,2,0,1,1,0 2,0,0,1,1,0,0,0,0,0,2,0,0,1,2,1,0,1,0,1,0,0,0,0,0,1,1,1,0,1,2,0,1,1,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,2,1,1,0,1,0,0,0,0,1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,2,1,1,1,0,1,2,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,2,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,2,0,1,1,0,0,1,0,2,0,0,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,2,0,0,1,0,2,2,0,0,0,1,1,0,1,0,1,0,1,1,2,0,0,0,1,0,0,1,0,0,0,0,0,1,2,0,0,1,0,1,0,0,2,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,2,0,1,1,0,1,0,1,1,1,1,2,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0,1,1,1,1,1,1,0,0,1,2,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,0,1,1,2,1,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,1,2,2,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,2,0,2,0,0,0,1,2,1,0,1,1,0,2,0,0,0,1,0,1,1,0,2,1,0,1,0,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1,0,0,2,0,1,0,1,1,0,0,0,1,1,1,1,2,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,2,0,0,0,0,0,0,2,0,1,0,2,1,0,0,1,0,0,0,1,1,1,0,2,2,0,1,0,2,0,0,1,1,1,2,1,1,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,1,2,0,0,2,0,2,1,1,1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,2,0,0,0,2,1,2,2,1,1,1,1,1,0,0,0,0,1,1,2,0,0,0,2,1,1,2,0,2,2,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,1,1,1,1,0,2,0,1,0,0,1,2,1,0,1,0,1,0,0,0,1,0,0,2,0,1,2,0,0,0,0,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,2,1,1,1,0,0,0,1,1,0,1,0,0,0,0,1,1,1,1,0,2,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,0,1,2,0,2,1,0,0,0,1,0,0,0,0,1,0,2,1,0,1,2,0,0,1,1,0,1,1,0,1,1,0,1,2,0,1,0,1,0,1,1,0,0,1,1,1,2,0,2,0,0,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1,1,0,1,0,2,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0 1,0,0,0,0,0,0,2,0,1,1,1,1,2,1,0,0,1,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,2,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,2,0,0,1,0,0,0,0,1,2,2,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,2,1,0,0,1,0,0,0,1,0,0,0,2,0,1,0,2,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,2,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,2,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,2,1,2,1,1,0,0,0,0,0,2,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,1,2,1,1,1,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,2,0,0,1,0,0,2,1,1,1,0,0,0,1,0,0,0,0,0,0,2,0,1,1,0,1,1,0,2,2,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,2,0,0,0,0,2,0,1,1,0,0,0,0,0,0,0,1,0,1,1,2,0,0,1,0,1,0,0,2,1,1,0,1,0,1,0,1,0,0,2,1,1,0,0,0,1,0,0,1,0,2,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,2,0,1,1,1,2,1,0,1,1,1,0,0,0,0,1,1,1,0,0,2,1,1,1,0,0,0,0,0,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,2,1,0,1,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,1,2,1,0,0,0,1,0,0,2,0,0,1,1,0,1,0,0,2,1,2,0,1,0,0,1,0,0,0,2,1,1,2,0,0,0,2,1,0,0,0,2,0,0,0,0,0,0,0,1,1,0,1,0,2,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,2,1,0,1,1,1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1,1,2,1,1,1,1,0,1,1,1,0,0,0,0,2,2,0,0,0,2,0,1,0,0,0,1,0,0,1,1,0,1,2,0,0,0,1,1,2,2,2,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,2,0,0,0,0,1,0,0,0,0,0,1,0,0,1,2,1,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,2,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,2,1,1,1,2,0,0,0,0,1,0,0,0,1,0,0,0,0,2,1,1,1,1,0,2,1,0,1,0,1,0,0,1,0,1,0,1,0,0,2,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,1,0,2,1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,2,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0,1,2,2,1,1,0,2,0,0,1,2,0,0,1,0,1,1,2,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0,1,1,1,0,2,2,0,1,0,1,2,0,0,2,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,2,0,0,2,0,0,1,0,0,0,0,0,2,1,1,0,0,0,2,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,2,0,0,1,0 1,0,1,1,2,0,0,0,1,1,1,1,2,0,1,0,0,1,0,0,0,0,0,0,0,1,2,0,0,1,1,0,0,0,0,0,0,0,0,2,2,2,0,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,2,0,1,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,1,0,2,1,0,0,1,2,0,0,1,1,1,0,2,0,0,1,0,0,1,0,0,2,0,1,0,0,0,1,1,1,0,2,1,2,1,1,0,0,0,0,0,1,2,0,2,1,0,0,0,1,0,0,1,0,1,1,0,2,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,1,1,2,1,0,1,0,1,2,0,0,1,0,1,1,1,0,0,1,0,0,2,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,2,1,1,0,0,0,1,0,1,0,0,0,0,0,2,0,0,2,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,1,0,2,0,1,0,2,0,2,1,0,0,1,0,0,1,0,0,1,0,1,2,1,0,0,1,0,0,2,0,1,2,0,0,0,2,1,0,1,0,0,0,0,2,2,0,0,1,0,1,0,0,2,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0,0,2,1,2,1,0,0,1,0,0,0,1,0,2,1,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,2,1,1,0,0,0,0,1,1,0,2,2,0,0,0,1,1,0,0,0,2,0,0,2,1,0,0,2,1,0,0,1,1,2,1,2,0,1,1,0,0,0,0,0,2,2,2,1,0,1,0,2,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,2,1,1,0,0,0,2,0,0,0,1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,2,0,0,1,2,0,1,1,1,0,0,0,0,0,1,2,1,1,1,0,0,1,0,0,1,0,0,2,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,2,1,2,2,0,0,0,1,1,2,0,1,1,2,0,0,0,0,1,1,1,0,1,0,2,1,2,0,1,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,1,1,0,0,0,1,2,0,0,1,0,2,1,1,0,0,0,0,1,0,0,0,1,0,0,2,1,0,0,1,0,0,0,2,0,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,1,0,2,2,1,1,1,1,1,0,2,1,1,0,0,0,1,1,0,2,2,0,0,1,0,0,0,2,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,2,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,2,0,2,1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0,0,1,2,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,2,1,1,2,0,0,0,1,0,0,1,2,1,1,1,1,0,0,1,0,2,2,0,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,2,2,1,0,0,0,0,2,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,1,1,0,1,0,2,0,0,2,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,2,2,0,0,0,1,0,2,2,1,1,1,0,0,0,2,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,2,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,2,0,1,0,0,0,0,1,0,1,1,0,1,1,2,1,0,0,1,2,0,0,0,2,0,2,0,1,1,0 1,0,1,0,0,0,0,2,1,0,1,2,0,1,2,0,0,2,1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,2,0,1,0,2,1,0,0,0,2,1,1,0,0,0,0,0,0,1,0,2,1,0,1,0,0,1,0,0,2,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,1,1,0,0,1,2,0,0,1,1,1,0,2,0,1,0,1,0,0,0,1,1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0,1,2,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,2,1,0,0,0,2,1,0,1,0,2,0,2,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,2,1,0,0,1,0,0,0,0,0,1,0,0,2,1,0,0,0,0,1,0,2,1,2,1,2,0,2,1,0,1,1,2,1,1,0,0,2,1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,1,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,2,0,2,0,0,0,0,1,1,2,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,2,2,0,0,0,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0,2,0,1,0,1,1,0,0,0,2,0,2,1,1,0,1,1,0,2,1,1,1,2,1,0,0,0,0,0,1,1,0,1,0,1,0,1,0,2,2,0,0,1,0,0,0,2,2,1,0,1,0,0,1,0,0,1,0,1,1,0,2,0,1,0,0,1,1,0,1,0,2,0,0,0,1,0,0,2,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,1,0,1,0,2,0,1,0,0,0,0,0,1,1,2,0,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,2,1,2,0,1,0,0,0,0,1,0,0,1,1,1,2,0,0,0,1,2,1,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,2,2,0,2,0,0,1,0,0,0,0,2,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,1,0,0,0,0,1,0,0,2,1,0,0,1,1,0,2,0,1,2,0,1,1,0,1,0,0,2,1,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,2,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,2,2,2,0,1,1,0,0,1,1,2,0,0,0,0,1,0,0,0,2,1,0,1,0,1,0,1,0,1,0,0,1,0,2,0,0,0,0,0,0,0,0,1,2,0,0,1,0,2,0,0,0,1,0,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0,2,0,1,2,1,0,1,2,1,0,1,1,0,0,1,0,0,0,0,1,2,0,2,2,2,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,1,2,0,0,2,0,0,0,0,1,0,1,0,0,0,1,1,0,2,1,0,1,1,0,1,0,0,0,2,0,1,1,0,1,1,0,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,2,1,2,0,1,0,0,0,0,2,2,0,1,1,0,0,1,1,1,0,1,0,1,2,2,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,1,1,0,0,2,0,2,1,0,2,2,1,1,0,1,0,0,0,0,0,1,0,0,1,2,0,0,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,2,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,2,0,1,1,0,0,1,0,0,1,1,0,1,0,1,2,2,1,0,1,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0 2,0,2,2,0,0,1,0,1,1,2,0,0,0,1,1,1,0,1,0,0,0,1,0,1,1,1,2,0,0,0,0,1,0,0,0,0,0,2,1,1,1,0,1,1,0,1,1,0,1,2,0,0,0,2,0,2,0,0,0,0,0,0,1,0,2,0,1,2,0,1,0,0,1,1,0,0,1,0,0,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,1,2,0,1,0,1,0,0,0,0,0,2,0,0,1,1,1,1,2,0,0,1,1,0,1,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,1,0,0,0,0,1,0,2,0,0,1,0,2,0,2,1,0,0,0,1,0,1,1,1,0,2,0,0,1,1,0,0,0,1,0,1,0,0,2,1,0,1,0,0,1,0,1,1,1,1,0,1,1,0,1,2,0,1,0,1,0,0,0,0,2,2,2,0,1,2,0,0,0,2,1,1,0,0,0,2,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,2,1,0,0,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,2,0,0,0,1,2,2,1,0,1,0,0,1,2,1,0,1,1,1,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,2,1,1,0,1,0,1,0,0,2,0,2,1,2,1,0,0,1,0,1,1,0,0,1,0,0,1,0,2,0,0,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0,1,2,2,0,2,1,0,1,0,2,1,0,1,0,2,0,0,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,1,2,0,1,0,2,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,1,0,1,0,1,0,1,1,0,0,0,1,0,0,2,0,0,0,2,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,2,1,0,1,1,2,2,1,0,0,0,1,2,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,1,2,0,1,1,1,1,0,0,2,1,0,0,2,1,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0,2,2,0,1,1,2,0,0,1,2,1,0,0,0,0,0,0,2,0,0,0,1,0,1,1,1,1,1,1,1,0,0,0,2,1,1,0,0,0,1,0,0,1,2,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,2,0,0,0,1,0,0,0,1,2,1,2,1,0,1,0,2,1,2,1,1,0,0,1,2,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,2,1,1,1,0,0,1,0,2,0,0,2,1,0,0,0,0,0,0,1,1,1,0,2,1,0,0,0,1,1,1,0,1,0,1,1,0,0,1,2,0,0,1,0,1,0,0,2,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,2,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,2,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,2,1,0,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,2,1,0,2,0,1,0,0,1,0,1,1,1,0,2,0,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,2,0,0,0,0,0,1,0,0,2,0,0,0,0,2,1,1,0,0,0,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0,2,1,1,1,0,1,0,1,2,0,0,0,0,0,0,1,2,0,1,0,1,0,1,0,0,2,1,0,0,0 1,0,1,1,0,1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,2,2,1,0,0,2,0,0,0,0,0,1,1,1,1,2,2,0,2,1,1,0,1,1,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,2,2,1,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,2,0,1,0,2,2,0,0,0,1,0,1,1,0,0,0,0,1,0,2,0,0,0,2,1,2,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,1,0,2,2,0,1,1,0,0,1,0,0,1,0,0,1,1,1,1,2,1,0,1,1,1,1,1,1,0,0,1,1,1,1,0,1,2,0,1,1,0,0,0,0,0,0,2,0,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,1,2,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,1,1,2,1,0,1,0,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,1,1,2,0,1,0,0,1,1,1,0,0,0,2,1,0,0,0,1,2,0,0,0,0,0,0,0,1,1,0,0,1,1,2,1,0,1,1,1,0,0,1,0,0,1,0,0,2,1,2,2,0,1,1,1,0,2,0,0,1,0,0,1,0,0,0,0,2,0,0,0,1,1,0,0,1,2,0,0,0,0,0,1,0,0,0,0,1,0,2,1,0,2,1,1,0,1,1,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,1,1,1,0,0,1,0,1,2,2,2,0,1,1,0,0,1,0,1,0,2,0,0,0,1,0,2,0,1,1,0,0,1,0,1,2,0,0,1,1,0,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,1,1,0,0,2,1,1,0,0,0,0,1,1,0,0,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,2,0,2,0,1,1,1,1,0,2,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,1,1,2,1,1,1,0,2,2,1,1,1,1,0,1,1,1,1,0,1,0,0,0,2,1,1,2,2,2,0,1,1,1,0,0,2,0,1,0,1,2,2,0,1,2,1,2,2,0,0,0,1,0,0,1,1,2,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,2,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,2,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,2,0,1,0,0,1,1,0,1,0,0,1,0,2,2,2,0,0,0,0,0,1,0,1,1,2,0,0,0,0,0,2,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,2,1,1,2,0,0,0,0,0,0,1,0,2,1,1,1,0,0,1,0,1,0,2,1,0,1,0,0,0,0,0,0,1,0,2,1,0,1,0,0,1,0,0,0,0,0,1,2,0,1,0,0,2,1,0,0,0,1,1,0,2,0,1,1,1,1,0,0,0,1,2,0,1,1,2,2,0,0,1,1,0,1,0,1,1,1,0,1,0,1,1,2,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,1,0,2,1,1,1,0,1,1,0,1,0,2,1,0,0,0,1,0,0,0,0,0,1,0,0,2,0,2,0,0,0,1,1,0,1,0,1,1,0,0,0,0,2,0,0,1,0,1,2,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,2,0,0,2,0,0,1,1,1,0,0,0,0,0,1,0,2,0,0,1,0,2,1,0,1,0,0,0,1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,1,0,2,0,0,0,0,1,0,0,0,0,1,1,1,1,0 0,0,2,1,0,0,0,0,0,0,2,1,0,1,2,1,0,1,1,0,0,0,0,1,0,1,2,0,0,0,0,0,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,2,2,0,0,1,0,0,1,1,0,1,1,0,0,2,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,2,0,2,1,0,0,0,1,1,0,1,0,1,1,2,1,1,0,0,0,2,1,0,1,1,0,2,0,0,0,1,1,0,0,0,0,2,2,1,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,2,1,0,0,0,1,0,1,1,0,0,0,0,2,1,1,1,1,1,0,1,0,0,0,2,0,1,0,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,2,0,2,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,2,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,1,1,1,1,1,1,0,0,2,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,2,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0,2,1,1,0,1,1,0,0,1,2,0,0,0,0,0,0,1,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,1,1,0,0,1,2,1,1,1,0,0,0,0,0,1,0,0,1,0,0,2,0,1,0,0,0,2,2,0,2,1,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0,2,0,0,1,2,0,1,1,0,1,0,0,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,1,2,0,0,0,0,0,0,1,1,2,0,1,1,0,1,1,1,0,0,0,0,1,0,2,1,1,2,1,0,1,1,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,2,0,2,2,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,1,2,1,0,0,0,1,1,0,1,2,2,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,1,1,1,0,2,0,1,1,0,0,1,0,0,0,0,0,2,0,0,0,1,1,2,0,2,0,1,0,1,0,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,2,1,1,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,1,1,2,2,0,0,0,0,1,2,1,1,1,1,2,0,1,1,1,0,0,2,1,1,0,0,1,1,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,2,0,2,1,0,1,0,2,0,0,1,0,0,0,0,1,0,1,0,2,0,0,0,0,2,0,1,1,2,0,1,1,2,1,0,1,0,2,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,0,2,0,1,1,0,1,2,0,0,0,0,1,1,1,0,0,0,0,2,0,1,0,0,1,1,0,1,0,1,2,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,2,0,2,0,0 1,0,2,2,1,0,0,1,0,1,2,1,0,2,1,0,0,0,0,0,1,0,1,1,2,1,0,1,0,0,2,0,0,0,0,0,0,2,0,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0,2,0,0,0,0,0,0,1,1,1,2,1,2,1,1,1,0,1,1,0,0,0,0,1,0,0,1,2,1,0,1,2,1,0,0,0,0,1,0,0,2,0,0,0,0,1,2,1,0,0,0,1,1,0,0,0,2,0,0,1,1,1,0,0,1,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,2,0,2,1,0,0,0,0,0,0,0,1,0,1,0,0,2,0,0,2,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,2,0,0,1,0,0,0,1,1,2,0,1,0,1,0,0,2,0,0,1,0,0,0,1,0,0,1,1,1,0,1,1,0,1,1,2,2,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,1,0,1,0,2,0,1,0,1,1,2,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,2,0,0,0,1,1,1,0,1,0,0,1,2,1,0,0,1,0,1,1,1,0,2,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,1,1,1,1,0,1,1,1,0,2,1,0,0,0,0,1,1,0,1,2,0,2,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,2,1,0,0,1,0,0,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,2,0,2,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,2,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,1,2,2,0,0,1,1,2,1,0,1,0,2,0,0,0,0,1,0,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0,2,0,0,1,0,0,1,1,2,0,0,0,0,0,1,0,1,0,2,0,0,1,0,0,1,1,2,0,1,0,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,1,2,0,0,0,0,2,1,0,1,0,0,0,2,0,0,0,0,1,2,1,1,0,0,1,1,0,1,1,1,0,0,1,0,1,2,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,2,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,2,1,0,1,0,2,0,0,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0,1,2,0,0,1,0,1,2,1,1,0,0,0,0,0,0,1,0,1,1,1,0,1,0,0,2,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,2,0,1,0,0,1,0,0,1,1,0,0,2,1,0,1,1,0,1,0,0,0,1,0,1,1,0,1,2,1,0,0,1,0,0,2,0,0,2,1,1,2,1,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,0,2,0,0,1,1,1,2,0,0,1,0,0,1,0,1,0,0,2,0,0,1,1,0,1,0,0,0,1,0,0,1,0,2,0,0,0,2,0,2,0,2,0,0,1,0,1,0,1,2,0,0,1,1,1,0,1,0,1,2,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,2,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,1,2,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,1,1,1,1,1,0 1,0,1,1,0,1,0,1,0,0,2,0,0,1,1,1,0,0,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,2,0,1,1,1,0,1,0,1,1,0,0,0,0,0,1,1,1,2,0,0,0,0,0,0,0,1,2,1,1,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,1,0,2,2,0,0,0,0,1,0,2,0,0,1,0,1,1,2,0,0,0,0,2,0,0,2,0,0,0,0,1,1,0,1,0,0,0,0,0,1,2,0,0,2,1,2,0,0,1,0,2,0,2,0,0,2,0,0,0,2,0,0,1,1,0,0,0,1,0,0,0,1,1,2,0,0,0,0,2,0,0,1,0,0,1,0,2,0,1,0,1,1,0,2,1,1,0,0,2,0,0,0,0,2,0,1,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,2,0,1,0,0,1,0,2,0,2,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,1,2,1,0,1,0,1,0,0,0,1,2,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,1,2,0,0,0,0,0,1,0,0,2,0,2,0,1,0,0,0,0,0,0,0,2,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,1,0,1,0,1,1,1,0,0,2,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,1,2,0,1,0,0,0,1,0,2,2,0,0,0,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,2,0,1,1,0,0,1,2,0,0,0,0,2,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,0,0,2,0,1,0,1,1,0,0,2,0,1,0,1,0,0,1,0,0,1,2,0,1,0,2,0,0,1,0,0,1,0,0,1,2,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,2,0,1,1,0,0,0,0,1,1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0,0,2,0,0,0,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,0,1,1,0,1,0,1,0,0,1,2,1,1,0,1,0,0,0,1,1,2,1,0,0,0,0,0,2,0,0,0,0,0,0,1,1,0,0,1,0,0,2,0,0,1,2,0,0,2,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,1,0,2,2,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,2,0,1,2,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,2,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,2,1,0,2,1,0,1,2,1,0,0,0,0,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,2,0,0,0,1,1,1,1,0,0,0,1,1,2,0,1,0,0,0,1,0,0,1,1,1,1,1,0,1,0,0,1,1,1,0,2,1,0,2,0,0,0,0,2,0,0,0,2,0,1,0,1,0,0,0,2,1,1,1,0,2,0,0,2,0,0,0,2,0,1,0,0,1,0,0,1,1,1,2,0,0,0,2,0,2,0,0,0,1,0,1,0,2,2,1,0,0,0,0,1,1,0,1,0,2,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,2,1,0,0,0,0,1,1,0,2,1,2,0,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,0,1,0,2,1,1,0,1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,2,0,1,0,1,1,1,1,0,2,0,0,1,0,2,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,1,0,1,0,1,0,1,1,1,0,1,2,0,2,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,2,0,0,1,1,0,2,0,1,1,1,0,0,1,0,2,1,1,1,0 1,0,2,1,1,0,0,0,1,0,1,2,0,0,1,0,0,1,0,0,0,0,2,0,0,0,1,2,0,1,0,0,1,0,1,0,1,2,1,0,1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,2,1,0,1,0,0,0,0,1,2,0,1,2,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,2,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,2,1,1,1,0,0,0,1,1,2,0,0,0,0,1,0,1,1,0,1,2,0,1,0,1,1,0,0,0,0,0,0,0,2,0,1,1,1,1,0,0,2,0,0,1,0,2,0,0,2,0,1,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,2,1,1,1,1,0,0,0,0,0,1,1,0,1,2,0,0,1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1,2,2,1,0,0,1,1,1,2,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0,0,2,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0,1,1,2,2,0,2,0,1,0,1,0,1,1,1,1,2,1,2,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,2,1,0,0,0,0,2,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,2,1,0,1,0,0,2,1,0,1,0,0,2,0,0,1,0,1,1,0,1,0,0,1,1,2,0,0,1,0,0,0,0,1,2,1,2,0,0,0,0,2,0,0,1,0,0,0,0,1,2,0,0,0,0,1,1,0,1,0,0,0,2,0,0,0,2,2,0,1,1,1,0,1,2,1,0,1,0,0,0,1,2,1,0,2,0,0,0,0,0,2,2,0,0,0,1,0,1,0,0,1,1,1,1,1,0,0,0,2,0,1,1,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,1,1,0,1,2,0,0,0,0,0,1,0,0,1,1,0,1,0,1,1,1,1,0,0,2,1,0,1,0,1,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0,0,2,1,1,0,1,1,2,0,0,1,1,0,1,0,0,0,1,0,0,2,0,1,1,1,1,0,1,0,1,1,1,0,0,2,1,0,1,0,2,2,1,1,2,2,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,1,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,2,0,1,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,2,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,2,0,2,0,0,0,0,0,1,0,0,1,1,0,1,0,1,1,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,2,1,0,1,0,0,0,0,1,1,2,1,1,2,2,0,0,1,0,0,0,0,0,1,1,0,0,2,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,2,1,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,0,2,0,0,1,0,1,0,1,0,0,0,1,1,1,0,2,1,0,1,0,0,1,0,0,0,2,0,0,0,1,1,0,0,2,0,2,1,0,1,0,0,0,1,2,0,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,1,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,1,0,1,0,2,0,0,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0 0,0,1,1,1,0,1,2,1,1,2,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,2,2,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,2,1,0,2,2,0,1,1,0,0,0,0,0,2,0,1,2,1,0,0,0,0,1,0,2,1,0,1,0,1,1,1,0,2,2,0,0,0,0,2,1,0,1,0,1,1,0,2,2,0,0,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,2,1,2,0,2,1,0,0,1,0,0,0,0,0,0,2,1,0,1,1,2,1,0,0,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,2,1,1,1,0,0,0,1,1,0,0,1,1,0,0,2,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,2,1,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,2,0,1,0,2,1,0,0,0,1,1,0,0,0,0,2,0,0,0,1,1,0,0,2,1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,2,0,1,1,1,0,0,1,0,0,0,1,2,1,0,0,1,0,1,0,1,2,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,2,2,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,2,2,1,0,0,0,2,0,0,1,0,0,1,2,1,2,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,2,0,2,0,0,2,1,0,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,2,0,1,0,0,2,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,2,0,0,2,1,1,0,2,0,1,1,0,2,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,2,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,2,0,1,0,2,0,0,1,0,0,1,0,1,1,0,0,2,1,0,0,0,0,2,1,2,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,2,2,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,2,0,1,2,1,0,1,0,1,0,0,0,2,0,0,2,1,0,0,2,0,1,2,0,0,0,0,1,0,2,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,1,1,1,2,0,2,2,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,0,1,1,1,1,0,1,0,1,1,0,0,1,2,1,1,2,2,0,1,0,2,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,2,0,0,1,0,0,0,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,2,0,0,1,2,1,0,2,2,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,2,0,0,0,0,0,1,1,2,1,2,0,0,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,2,0,0,2,0,0,0,0,1,2,0,0,1,0,0,1,1,0,0,0,0,1,2,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,1,1,1,0 0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,0,1,2,1,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,1,2,0,1,0,0,1,0,0,2,1,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,2,2,1,0,0,0,0,0,1,1,1,0,1,0,1,0,0,1,0,2,2,0,0,0,0,0,0,1,0,1,0,1,0,1,2,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,2,0,1,1,0,1,1,2,1,1,1,1,0,0,0,0,0,0,2,0,2,2,0,0,1,0,1,0,2,0,0,1,0,0,0,0,0,0,1,1,2,1,0,1,2,0,0,0,1,0,2,0,0,0,2,0,0,1,0,0,0,0,1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,2,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,1,0,2,2,1,2,1,1,0,0,1,0,1,0,0,1,0,1,1,2,0,0,2,0,2,1,1,0,1,0,0,1,2,1,1,1,0,0,0,1,0,0,0,1,0,1,1,2,1,0,1,1,2,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,2,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,1,0,1,0,1,2,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,1,0,2,0,0,0,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0,1,0,1,1,2,0,1,0,1,0,1,1,1,0,1,1,1,1,1,2,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,2,2,0,1,0,0,0,0,0,1,1,1,1,1,1,0,2,0,1,1,1,1,0,2,1,0,1,1,0,1,0,1,1,0,0,1,2,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,2,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,2,0,1,1,1,0,0,0,0,1,0,1,0,0,1,1,1,2,2,2,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,2,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,2,2,0,1,0,0,0,0,0,0,1,2,1,1,0,0,0,1,1,2,2,0,1,0,0,0,0,2,2,1,0,1,0,1,0,1,2,1,0,2,0,1,0,1,0,1,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,1,0,1,0,0,2,0,0,0,1,1,1,2,0,1,0,1,0,1,0,0,1,0,0,2,0,2,0,0,1,0,0,0,1,2,0,1,0,1,0,1,0,0,0,2,1,0,0,1,1,0,0,1,0,1,1,1,0,0,1,1,2,2,2,1,1,0,1,0,0,0,2,0,0,0,1,2,1,0,1,0,0,2,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,2,1,1,1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,2,0,1,0,0,0,1,0,1,0,1,2,0,2,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,1,1,1,1,0,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,2,2,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0 1,0,1,0,0,0,0,1,1,1,1,2,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,2,0,2,1,0,0,1,2,0,0,1,2,0,2,1,0,1,0,0,0,0,0,2,1,1,0,0,0,1,0,1,0,0,1,2,0,2,0,1,1,1,1,0,2,0,0,0,0,1,1,2,0,2,0,2,0,1,1,1,0,1,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,1,0,0,2,0,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,2,0,0,2,0,1,0,0,0,0,1,1,1,1,2,1,1,1,0,1,0,0,1,0,0,0,1,2,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,1,0,0,2,1,0,0,0,0,1,0,1,1,0,0,2,1,0,1,0,0,0,1,2,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,2,1,1,0,0,2,0,1,0,1,1,1,0,2,0,0,0,2,0,0,0,1,1,0,1,0,2,0,0,1,0,1,1,0,0,0,2,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,1,1,0,1,1,0,1,0,1,0,1,0,1,2,0,0,0,1,1,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,2,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,2,1,0,2,2,2,1,0,0,0,1,1,1,1,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,2,0,1,0,2,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,1,1,0,0,2,0,0,1,2,1,0,1,0,0,2,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,1,1,0,1,0,0,1,1,0,1,1,0,2,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,2,0,0,0,2,2,1,0,1,1,1,0,2,1,0,1,0,0,1,1,0,0,0,2,0,0,0,2,0,1,0,2,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,1,1,0,0,0,0,0,2,0,1,0,0,1,1,1,1,1,1,0,1,0,1,0,2,0,0,0,1,0,0,1,1,1,2,0,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,2,2,1,1,1,0,1,1,1,2,2,0,1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,2,1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,2,0,2,0,0,2,2,0,1,1,1,0,0,1,1,2,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,2,0,0,1,0,1,1,1,2,1,0,1,0,1,0,1,2,0,0,0,0,0,1,1,2,1,1,0,2,0,0,2,1,1,0,0,0,0,1,1,2,1,2,0,0,0,2,2,0,0,1,0,0,1,1,1,0,2,1,0,0,1,2,0,0,0,0,1,1,0,0,2,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,2,0,1,1,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,2,1,2,0,2,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,2,0,1,0,0,1,1,1,1,0,0,0,0,2,0,1,0,0,1,0,1,1,2,0,2,0,0,0,2,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0,1,0,1,2,1,1,0 1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,2,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,2,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,1,0,2,1,1,2,0,0,1,0,0,1,0,0,2,2,2,2,1,0,0,0,2,0,0,0,1,0,0,0,1,0,0,1,0,1,2,1,0,1,0,1,0,2,0,1,0,0,1,1,2,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,2,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,2,2,0,0,1,0,1,1,0,0,0,1,2,2,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,2,1,1,1,2,1,1,2,0,0,2,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,2,0,0,1,0,0,1,1,1,2,0,1,1,0,0,0,1,0,0,1,0,2,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,1,1,1,1,0,0,1,0,2,0,0,0,0,0,1,2,1,1,1,0,0,0,2,0,0,0,0,0,1,0,2,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,2,1,1,0,0,0,0,1,1,1,0,0,1,0,0,0,2,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,0,2,1,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,2,1,1,1,0,1,0,0,1,1,2,0,0,1,0,1,1,1,0,0,0,0,2,1,1,0,2,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,2,2,0,0,0,1,0,1,0,1,0,0,2,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,2,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,1,2,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,2,1,0,0,1,2,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0,2,2,1,0,1,0,2,0,1,1,1,0,1,0,2,0,1,0,0,0,0,1,1,0,0,2,0,1,0,0,0,0,2,0,0,0,1,0,1,0,1,1,1,2,2,1,0,1,0,1,0,0,2,2,1,1,2,2,1,0,1,2,1,2,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,2,1,1,0,1,0,2,2,0,1,0,0,0,2,1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,2,1,1,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,2,1,2,0,2,2,0,0,0,0,1,2,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,2,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,2,0,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,1,2,1,1,1,1,0,1,2,1,0,1,2,0,2,0,1,0,1,0,1,0,0,0,0,0,1,0,1,2,0,0,0,2,0,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,2,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,2,0,0,0,0,0,1,1,0,0,1,0,1,1,2,0,0,1,1,0,1,2,1,2,0,0,1,1,0,0,0,1,0,0,0,0,0,0,2,1,0,0,0 0,0,2,1,0,0,0,0,2,1,1,0,0,2,0,1,0,1,0,0,0,0,1,0,0,0,1,2,1,1,0,0,2,0,1,0,2,1,1,0,0,0,1,2,0,1,0,0,1,0,2,0,0,0,0,0,0,0,0,2,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,1,0,2,0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,1,2,0,0,1,2,1,0,2,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,2,1,0,0,1,0,0,1,0,1,0,2,2,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,2,0,0,1,0,1,1,0,0,0,0,1,1,1,0,1,1,0,0,0,2,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,1,1,0,1,1,2,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,2,0,0,0,1,0,0,0,0,2,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,1,0,0,1,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,2,0,1,0,1,0,0,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,1,1,2,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,1,1,2,1,0,2,0,1,1,1,2,0,1,1,1,1,0,2,0,1,0,0,0,2,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,2,0,0,1,0,1,1,0,0,0,1,0,1,1,0,2,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,2,1,1,0,1,0,1,0,2,0,0,0,0,1,1,0,0,1,0,2,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,1,1,0,2,1,1,0,0,0,0,0,1,0,1,0,1,1,2,0,2,1,2,0,2,1,0,0,1,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,2,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,2,1,1,1,0,0,1,1,0,0,0,1,0,0,2,0,1,0,0,0,1,0,0,0,1,1,2,0,1,1,0,0,0,0,1,0,2,0,1,1,0,1,1,1,2,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,2,1,1,0,1,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,1,1,0,1,2,1,1,0,2,0,2,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,0,1,1,1,0,2,1,1,2,1,0,0,0,0,0,0,1,2,1,1,0,1,2,2,2,0,1,2,2,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,1,2,1,1,0,0,0,2,0,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0,1,1,2,0,1,0,2,0,0,0,0,0,1,0,1,0,1,2,2,0,0,0,0,0,1,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,2,0,0,2,2,2,2,0,0,1,0,0,1,1,1,0,0,0,0,1,0,0,2,0,0,1,0,1,0,0,0,2,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,0,2,0,1,0,0,0,1,1,1,0,0,0,2,0,0,2,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,2,0,0,0,0,2,1,1,0,1,1,1,0,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,2,0,0,1,0,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0 2,0,0,2,1,1,0,1,0,0,1,2,0,0,0,0,0,1,1,0,0,0,1,2,2,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,1,2,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,1,2,0,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0,2,0,0,0,0,0,1,2,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,1,2,1,0,1,1,0,0,0,2,0,0,2,1,0,1,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,2,2,1,2,0,1,0,1,0,0,0,2,0,0,0,0,0,0,1,1,0,2,0,0,1,2,1,1,0,0,1,1,1,0,0,2,0,1,0,0,0,0,1,0,0,0,0,1,1,2,0,1,2,1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,1,2,1,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,2,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,2,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,1,1,2,1,0,1,0,0,1,0,1,0,1,0,2,0,1,1,0,0,1,0,2,0,0,0,0,0,0,1,2,0,1,0,0,0,1,0,2,0,0,0,0,0,1,1,2,1,0,1,0,2,1,0,0,0,0,0,0,2,1,2,1,1,0,2,1,0,0,0,0,2,0,1,0,0,1,0,0,1,1,0,0,1,2,1,0,1,0,0,1,1,0,0,0,1,1,1,0,0,1,0,1,2,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,2,1,0,0,0,0,2,0,0,1,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,2,1,0,1,1,0,0,1,1,1,1,0,2,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,1,1,0,2,0,0,1,1,0,2,1,1,1,0,1,0,1,0,0,0,0,1,0,1,1,2,0,1,0,0,0,2,1,0,0,1,0,0,0,0,1,0,2,0,0,0,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,1,2,1,0,0,2,0,0,0,1,0,0,0,0,1,0,0,1,2,0,0,1,2,0,1,1,0,0,1,0,0,0,0,0,0,2,2,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,1,0,0,2,0,0,1,0,0,0,1,0,0,0,2,0,1,1,1,0,1,0,1,1,0,0,0,1,2,0,0,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,2,0,1,0,2,0,0,1,1,0,1,1,0,2,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,0,2,1,0,0,0,1,0,0,1,1,1,2,0,0,0,0,2,0,0,2,0,1,1,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,2,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,2,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0 1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,0,0,2,0,0,2,1,0,0,1,1,1,1,0,0,0,0,1,2,2,0,1,0,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,1,0,2,1,1,1,2,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,2,0,0,0,1,0,1,1,0,0,2,1,1,0,1,1,0,0,2,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0,1,2,1,1,1,0,0,0,0,0,1,0,0,1,0,0,1,1,1,0,0,2,0,1,1,1,1,0,0,1,1,2,0,0,2,0,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,2,1,0,1,2,1,0,0,0,0,0,0,0,1,1,2,1,0,0,0,1,0,0,0,1,1,1,1,0,0,1,1,0,0,1,2,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,1,0,0,2,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,1,2,0,0,0,0,1,2,0,0,0,0,1,1,1,1,0,1,0,0,0,0,2,0,1,0,0,1,1,1,1,1,1,0,0,2,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,2,1,0,1,0,1,0,1,1,2,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,2,0,1,0,0,0,1,1,0,1,1,0,0,1,1,0,1,0,2,0,0,0,1,0,0,2,0,1,0,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,2,2,0,1,1,1,0,0,1,0,0,0,0,1,0,0,2,1,0,1,1,0,0,1,0,0,0,2,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,1,0,1,1,1,0,0,0,0,2,2,0,1,1,0,0,0,0,0,0,1,2,1,1,1,0,0,2,1,2,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,1,1,1,0,2,0,0,0,1,1,1,1,0,1,0,0,0,0,1,0,2,1,0,0,0,2,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,2,0,1,0,0,1,0,2,0,0,0,1,0,2,0,1,1,1,0,0,2,1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,2,0,0,0,2,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,2,0,1,1,1,0,1,1,1,1,0,1,1,2,0,0,1,1,0,0,2,1,1,0,1,0,0,1,1,0,2,0,1,1,0,0,1,2,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,2,0,1,1,1,2,1,0,1,1,1,0,1,1,1,2,1,1,2,0,0,1,1,1,0,0,0,1,2,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,2,0,1,1,1,1,0,0,0,0,1,1,1,2,0,0,0,0,1,0,2,0,0,0,1,1,1,2,1,1,0,1,0,2,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,2,2,2,1,0,1,0,2,2,0,1,1,0,0,1,0,1,2,1,1,0,0,0,0,1,0,1,0,0,1,0,0,0,2,0,0,1,1,0,2,2,1,0,0,1,0,0,2,1,0,0,0,0,0,1,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,1,1,2,0,0,0,0,2,2,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,2,0,0,0,0 2,0,0,0,0,0,0,2,2,0,0,0,0,2,0,1,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,1,2,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,2,0,0,1,0,1,2,0,0,2,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,1,0,2,0,0,0,1,1,1,0,1,1,0,0,2,0,1,2,1,1,1,0,0,0,0,0,0,2,0,1,1,1,0,0,2,1,0,0,1,1,0,0,0,0,2,1,0,0,1,1,0,0,1,2,2,0,1,0,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,1,1,0,2,0,0,1,0,1,0,1,1,0,1,0,1,1,1,0,1,0,2,0,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,2,0,1,1,0,1,1,0,1,0,1,1,1,0,1,1,0,2,0,1,1,1,0,1,0,0,2,0,0,0,1,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,1,1,1,1,0,2,0,1,0,2,0,0,1,0,2,2,0,0,0,1,0,1,1,0,0,0,1,1,1,1,2,1,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,1,0,0,2,0,1,0,0,2,0,0,0,0,0,0,2,1,1,1,2,1,1,0,0,1,0,2,0,0,1,2,2,1,1,0,0,0,2,0,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,2,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,2,1,1,1,0,2,1,1,0,1,0,0,0,0,0,0,1,0,0,0,2,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,2,1,0,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,2,0,1,0,1,0,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,2,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,2,0,1,0,1,1,0,0,0,0,0,0,0,2,0,2,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,2,0,1,1,1,2,0,0,1,0,1,0,0,0,2,0,0,0,0,1,0,2,0,1,0,0,0,1,0,1,0,2,0,0,0,2,2,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,2,0,1,0,0,0,0,1,0,0,1,1,0,0,1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,2,0,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,2,1,0,1,1,0,2,0,0,0,1,0,0,0,0,1,2,1,2,1,1,0,0,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,2,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,2,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,2,0,0,1,1,1,0,2,2,2,0,1,0,1,0,2,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,1,2,2,1,0,0,2,0,0,1,2,0,0,0,0,2,1,0,0,0,1,0,1,0,1,2,0,1,1,2,1,0,1,1,1,1,0,2,0,1,1,0,0,0,0,1,2,1,0,0,0,0,2,0,1,0,0,0,2,0,0,2,0,0,1,0,0,1,1,1,2,1,0,2,0,2,1,0,0,0,2,1,1,1,0,0,2,0,1,1,0 2,0,1,2,1,0,2,0,0,2,1,1,0,1,2,1,0,2,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,1,0,0,1,1,0,1,1,1,2,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,2,0,1,0,1,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,2,0,0,1,1,1,0,2,0,1,2,1,2,1,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0,1,2,0,1,1,0,1,0,0,1,0,2,0,1,1,1,1,0,1,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,1,0,1,2,0,1,0,0,1,1,0,0,1,1,0,1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,1,2,1,1,1,0,2,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,2,0,1,0,0,1,0,1,0,0,1,0,2,0,1,1,0,0,2,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,1,1,1,1,0,0,0,2,0,2,1,0,1,0,1,0,1,0,0,0,0,1,1,1,0,1,0,1,1,2,2,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,2,0,0,0,2,2,0,0,0,0,0,2,0,0,0,1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,2,0,1,0,0,1,0,0,0,1,1,1,1,0,1,1,2,0,2,2,1,0,1,0,0,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0,2,1,1,0,0,0,1,2,0,1,0,1,0,0,1,0,0,0,0,0,0,0,2,0,1,1,2,1,0,1,1,0,2,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,2,0,1,0,0,0,1,1,1,2,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,2,0,1,0,2,0,1,0,2,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,2,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,0,1,2,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,2,2,0,0,1,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,2,0,1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,2,1,0,1,1,1,2,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,0,1,1,1,0,2,0,1,0,0,1,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,2,0,1,0,0,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,1,1,1,1,2,2,0,0,0,0,1,0,1,2,1,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,2,1,1,0,0,0,0,0,0,1,2,0,0,0,0,0,2,2,1,0,0,0,0,1,1,0,2,0,0,0,1,1,0,2,1,0,0,0,1,0,1,1,2,1,2,1,0,0,0,0,1,0,0,0,0,1,0,0,2,1,1,1,0,1,0,1,1,0,0,1,0,0,1,2,0,0,1,1,2,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,1,0,2,1,0,0,0,1,0,0,2,0,0,2,0,1,0,1,1,2,1,0,1,0,1,0,0,1,0,1,2,0,0,0,0,0,1,0,0,0 1,0,1,2,1,0,0,0,1,1,1,1,0,1,2,1,0,1,0,0,1,1,0,1,1,1,1,1,0,0,1,1,2,1,0,0,1,1,1,1,1,0,1,0,1,1,2,0,2,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,1,2,2,0,1,1,1,1,0,0,0,0,1,2,0,0,0,0,1,0,1,1,0,0,0,2,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,0,1,1,1,0,0,1,1,0,1,2,0,0,1,0,2,2,0,1,1,0,0,0,0,0,0,2,0,1,0,1,0,2,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0,2,0,1,0,1,0,0,0,2,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,1,1,0,0,0,2,0,1,0,1,0,1,0,0,0,0,1,0,2,1,0,1,0,2,0,0,1,1,2,0,1,2,0,1,1,1,1,1,0,0,0,2,1,0,0,2,2,0,1,0,2,1,0,2,0,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0,2,1,1,0,0,1,1,0,0,1,0,0,2,0,0,1,0,1,0,0,0,1,1,0,0,0,1,2,1,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,1,2,0,0,0,1,0,2,1,0,1,0,1,0,0,0,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,2,2,0,1,1,0,0,0,0,0,1,0,2,0,0,0,2,0,0,0,0,1,1,0,2,1,1,0,0,0,2,1,1,0,0,0,1,1,0,0,1,2,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,1,2,1,1,0,1,0,1,0,2,2,1,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,2,1,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,1,1,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,2,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,2,1,0,0,1,0,0,0,1,0,0,1,1,1,0,2,0,1,0,0,0,1,2,0,2,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,2,1,0,0,1,1,1,0,0,2,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1,0,1,0,0,1,0,0,2,1,1,0,1,1,0,1,0,1,0,1,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,2,1,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,1,0,2,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0,2,0,0,0,0,0,1,1,0,2,1,2,1,1,0,0,0,1,0,0,0,0,2,0,0,0,2,1,0,0,1,1,1,0,0,0,0,1,0,2,0,1,0,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,2,0,1,1,2,0,1,1,0,1,1,0,0,0,0,1,1,0,1,2,0,2,1,0,2,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,1,2,0,0,1,2,1,1,0,2,1,0,1,1,1,0,2,1,2,2,0,0,0,1,1,0,0,1,0,0,0,1,2,2,0,1,0,1,0,1,0,0,2,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,2,0,1,1,0,1,0,0,2,2,1,0,1,1,0,0,2,2,1,0,0,0,1,0,1,2,0,0,0,0,0,1,0,1,0,0,2,0 0,0,1,0,0,2,0,0,0,0,1,1,1,2,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,2,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,1,2,1,1,0,0,0,0,0,0,0,1,2,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,2,0,0,0,0,2,1,0,1,1,2,0,1,1,2,1,0,1,0,0,0,0,1,0,1,0,0,0,2,1,0,0,0,2,0,2,0,0,0,2,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,1,0,2,0,1,2,0,0,1,1,0,0,0,1,0,0,0,1,0,0,2,0,1,0,0,1,0,0,1,0,2,0,1,0,2,1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,2,1,2,1,0,2,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,2,2,1,0,1,0,1,2,1,0,2,1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,2,0,0,0,0,2,0,1,0,1,1,1,0,0,1,0,0,1,1,1,1,0,1,0,2,0,1,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,2,1,0,0,1,0,1,0,1,2,1,1,0,0,1,0,0,0,2,1,2,0,0,0,1,0,0,0,1,1,0,1,1,1,2,0,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,2,0,0,2,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,2,1,0,1,0,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,2,0,1,1,1,0,1,1,0,1,0,1,0,2,1,2,0,0,1,1,0,1,1,2,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,1,2,1,0,2,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,2,1,1,0,1,0,1,0,0,0,1,1,1,1,1,0,0,2,1,1,1,2,0,0,0,1,0,0,1,0,2,1,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,2,2,0,1,1,0,0,2,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,2,0,2,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0,2,0,1,0,1,0,1,1,2,0,0,0,0,0,1,0,1,0,0,1,0,0,1,1,2,2,0,1,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,2,0,1,1,0,0,1,0,0,2,1,1,0,0,1,0,1,0,2,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,2,0,0,1,0,0,0,1,1,1,0,1,1,0,1,1,0,2,0,0,0,0,0,0,0,1,1,1,2,1,1,1,1,0,0,0,0,0,1,1,2,0,1,1,1,1,0,1,2,0,0,0,0,2,2,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,2,0,1,1,0,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0,2,0,0,0,1,0,1,2,0,1,1,1,1,1,1,2,1,1,1,1,0,1,1,1,0,0,1,0,0,0,2,0,1,0,1,0,0,1,0,0,2,0,0,0,2,0,2,0,0,0,0,0,1,0,0,1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,2,0,1,1,0,0,1,0,2,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0 0,0,0,0,0,0,0,1,1,2,1,0,1,1,0,2,0,0,1,0,0,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,2,0,0,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,0,1,2,0,1,0,1,0,0,2,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,2,0,0,1,1,1,1,2,0,1,1,0,0,0,1,1,0,2,0,1,0,0,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,1,1,0,1,0,1,1,0,0,2,0,0,0,1,1,0,0,1,1,0,1,1,2,1,0,0,2,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,2,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,2,1,0,0,0,1,1,1,1,1,1,0,1,0,1,0,2,0,0,0,1,0,0,0,0,1,1,2,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,2,1,0,0,1,1,0,0,0,1,1,0,0,2,0,1,1,1,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,2,0,2,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,2,0,1,0,2,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0,2,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,2,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,1,0,0,1,0,0,0,1,0,0,1,0,1,2,0,1,1,1,0,0,0,0,1,0,1,0,2,0,0,0,0,0,2,0,0,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,2,0,1,1,1,0,1,1,2,2,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,2,1,1,0,1,1,0,0,1,1,2,1,0,0,0,0,0,1,0,1,1,1,1,1,1,0,2,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,2,2,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,2,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,2,0,0,0,0,0,1,2,1,2,0,0,0,1,0,1,1,0,1,1,2,0,0,1,0,2,0,0,0,0,0,2,0,0,1,0,2,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,2,0,0,0,1,1,0,1,0,2,0,0,0,1,0,0,1,1,1,0,0,1,1,0,2,0,0,0,0,0,1,0,0,1,1,1,2,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,1,1,1,2,0,0,1,0,1,0,0,1,2,1,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,2,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,2,0,2,1,1,0,0,1,2,0,0,1,1,1,0,0,0,1,1,1,0,0,0,2,0,0,1,0,1,0,0,0,2,0,1,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,2,1,0,1,1,0,2,0,1,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,2,1,1,0,0,0,0,0,0,2,0,0,0,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,1,1,0 0,0,0,0,0,1,0,1,1,0,0,0,0,2,1,1,0,1,1,0,0,0,1,0,1,2,0,0,1,1,1,0,1,1,0,0,1,2,1,1,1,0,0,1,1,0,0,1,0,0,1,0,2,0,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,1,2,1,2,0,0,0,0,1,0,0,1,0,0,2,1,1,0,0,1,2,0,1,1,0,0,0,0,1,0,0,1,2,0,1,0,1,0,1,1,2,0,0,0,2,0,2,0,0,1,1,0,0,0,0,0,1,0,0,1,0,2,1,0,0,1,0,0,0,1,0,1,0,0,0,2,2,1,2,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,2,0,1,0,0,1,1,0,0,0,0,0,0,0,1,2,1,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,2,0,0,0,2,2,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,1,0,2,1,1,2,0,0,1,1,1,0,2,1,2,0,1,0,0,1,1,1,0,1,0,2,0,0,0,2,1,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,2,0,0,1,0,1,0,1,1,1,1,0,0,1,1,2,1,0,0,0,0,0,0,2,1,1,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,2,2,0,0,0,0,0,0,0,0,1,0,2,1,0,2,0,0,0,0,0,1,0,0,1,1,0,0,2,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,1,1,2,1,0,0,1,0,0,0,1,1,2,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,2,1,1,0,1,0,1,1,0,0,0,1,1,0,1,2,0,1,0,0,1,1,0,1,2,0,1,2,0,0,0,0,2,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,2,0,1,0,0,0,0,1,1,1,0,1,0,2,0,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0,1,1,1,2,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,2,1,0,2,0,1,0,1,1,0,1,1,0,1,1,0,0,2,1,1,1,0,0,0,0,1,1,1,0,0,1,1,2,0,0,0,1,1,2,1,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,1,0,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,2,1,2,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,1,1,0,1,2,0,1,0,2,0,0,1,1,0,1,0,1,0,1,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,1,2,1,0,0,1,1,0,2,1,1,1,1,0,2,1,1,1,2,0,0,0,0,0,2,0,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,2,0,2,0,0,2,0,1,0,2,1,1,0,0,0,1,1,0,1,0,2,0,0,0,0,0,0,1,1,2,1,1,1,1,0,0,0,1,0,1,0,0,1,2,0,0,0,0,1,1,0,1,1,0,1,0,0,2,0,0,1,1,0,0,0,1,1,1,1,0,0,2,1,1,1,1,0,1,1,1,1,1,1,0,1,0,1,2,2,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,2,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,2,2,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,2,0,0,1,0,0,0,1,0,0,1,2,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,2,0,2,1,0,1,0,1,1,1,2,1,2,1,0,1,0,0,1,0,0,2,1,1,1,0,0,0,0,1,2,1,0,1,0,1,0,2,1,0,0,0,0,0,1,1,0,0,1,1,0 0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,2,1,0,1,1,1,1,0,0,0,0,2,1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,1,0,2,0,1,1,0,1,2,2,0,1,0,0,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,1,2,1,0,0,0,0,1,1,0,0,1,0,2,1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,0,0,0,2,1,1,0,1,0,1,1,0,1,0,1,2,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,1,2,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,1,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,1,1,0,2,0,1,0,1,1,1,1,1,0,1,2,0,1,2,0,0,1,0,0,0,1,0,0,1,2,1,1,0,1,2,1,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,1,1,0,0,1,0,2,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,1,2,1,0,0,1,0,0,1,1,2,0,0,2,1,2,1,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,1,1,0,2,1,0,1,1,2,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,2,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,2,0,1,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,0,2,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,2,2,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,2,0,1,1,0,0,0,0,1,2,0,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,2,1,0,1,1,1,0,0,1,0,1,2,0,1,0,0,0,2,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,1,1,0,0,0,1,1,1,0,2,1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,2,2,1,0,1,1,0,0,1,1,0,0,1,0,2,1,0,0,0,0,0,0,1,0,0,1,1,0,2,0,0,0,1,0,1,0,2,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0,2,0,0,1,1,0,1,0,2,0,2,1,1,1,0,0,0,2,0,0,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,1,0,2,1,1,0,1,0,0,0,0,1,1,0,0,1,0,2,0,0,2,2,0,0,0,1,2,2,0,0,2,2,1,0,0,2,0,1,0,2,0,0,0,0,2,1,1,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,1,0,1,1,0,1,2,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,2,1,2,0,0,0,1,0,1,1,0,0,0,0,0,2,0,0,1,2,1,0,0,1,0,2,0,1,0,0,1,2,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,2,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1,1,1,0 1,0,0,1,1,0,0,1,1,1,1,0,0,0,2,1,0,1,0,0,0,0,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,1,2,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,2,1,0,1,0,0,1,0,0,2,0,0,0,0,0,1,2,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,2,0,0,0,0,1,0,0,0,0,2,1,1,1,1,1,0,0,0,0,0,0,1,2,0,1,1,0,1,0,0,0,0,0,0,1,0,1,1,2,1,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,2,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,2,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,2,0,0,1,2,2,0,0,1,2,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,2,1,0,0,0,0,1,0,2,1,1,0,1,1,1,1,0,1,0,0,0,0,0,2,0,0,0,0,0,2,1,0,0,0,0,0,1,2,0,1,0,0,1,1,0,1,2,0,1,0,0,0,0,1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,2,0,1,1,0,0,0,1,2,0,0,0,1,0,1,0,1,0,1,0,2,0,0,0,0,0,0,2,1,0,0,2,0,2,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,1,1,1,2,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,1,0,0,1,0,1,1,1,0,2,0,0,0,0,2,1,0,0,1,0,0,0,2,1,1,0,0,0,0,1,0,0,0,1,0,0,2,0,0,2,0,2,0,2,2,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,1,1,1,1,0,0,1,2,1,1,1,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,2,1,1,1,0,0,0,0,1,1,1,1,1,0,2,0,1,0,1,2,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,1,0,0,1,1,2,0,1,2,1,0,0,0,0,1,2,0,1,1,1,0,1,0,2,1,2,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,1,1,1,2,1,0,0,0,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,2,0,0,0,0,0,1,0,1,2,0,1,2,0,2,0,1,1,1,1,1,1,0,0,0,2,0,1,1,0,0,1,2,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,2,1,2,2,2,1,0,0,1,1,1,1,1,1,1,0,1,1,1,1,2,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,2,1,1,0,1,0,0,0,0,1,1,0,0,1,1,1,1,1,2,0,0,0,2,0,1,0,1,0,2,1,1,2,1,2,0,0,1,0,2,0,1,0,0,1,0,0,0,0,2,1,0,1,1,1,0,0,2,0,1,1,0,0,0,1,1,1,0,2,0,0,1,0,1,0,2,1,0,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,0,0,1,2,0,0,1,0,2,0,0,2,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,2,0,0,1,0,2,2,1,0,0,2,1,2,2,1,0,0,0,0,0,1,2,1,0,0,0,1,0,2,2,0,0,0 2,0,1,1,2,0,0,1,0,0,1,2,0,1,1,0,0,0,0,0,0,1,0,0,1,1,2,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,1,0,1,2,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,1,2,0,2,0,1,0,0,2,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,2,1,1,0,1,0,0,0,0,2,0,2,2,0,2,0,0,0,0,0,1,1,0,1,2,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,1,1,0,0,0,2,1,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,2,0,2,1,1,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,1,1,1,1,1,1,0,1,2,1,0,0,1,2,0,0,0,0,1,0,0,0,1,0,0,2,1,0,0,1,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,2,1,1,1,0,1,0,0,0,0,1,2,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,1,1,1,1,1,1,2,0,1,0,0,1,0,0,1,2,1,0,2,0,0,2,0,0,1,0,1,1,1,1,0,0,0,0,0,1,2,0,0,1,0,0,2,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,2,1,1,0,0,0,0,0,0,0,2,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,1,2,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,2,0,1,1,0,0,1,0,1,2,1,1,2,1,2,1,1,0,2,0,1,0,0,0,1,0,2,0,0,0,0,1,0,0,1,1,0,0,1,1,2,0,1,1,0,0,0,0,1,1,2,0,1,1,0,0,0,0,0,1,0,2,0,0,1,1,0,1,0,0,0,0,0,0,0,1,2,1,2,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,2,1,0,0,1,0,0,0,1,0,2,0,0,0,0,0,1,1,0,2,1,1,0,2,0,1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0,2,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,1,1,2,0,0,1,0,0,1,1,1,2,1,0,0,0,0,2,1,0,1,0,0,0,0,2,1,1,1,2,0,0,2,1,0,1,1,1,0,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,1,0,0,0,1,0,1,0,0,2,0,1,0,1,0,0,0,2,1,0,0,2,1,1,0,1,2,0,0,0,0,1,1,0,0,2,0,0,2,0,1,0,0,1,0,0,1,0,1,0,1,1,0,1,0,1,1,2,0,1,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,1,1,2,0,0,0,0,0,0,1,1,2,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,1,2,1,0,0,0,0,0,0,0,0,1,0,1,1,0,2,2,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0,2,0,0,0,2,1,0,2,1,0,1,1,2,0,0,0,0,2,0,0,2,1,1,2,1,1,1,1,1,0,0,1,1,0,2,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,2,1,1,0,0,1,0,0,1,2,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,2,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0 0,0,1,1,0,1,0,1,0,0,1,0,0,1,2,1,0,0,0,0,0,0,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,2,1,0,0,0,2,0,0,1,0,2,0,0,0,0,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,1,2,1,0,0,0,1,0,1,0,2,2,0,0,0,0,1,0,2,1,0,1,0,1,0,0,1,0,2,2,0,1,0,0,2,0,1,0,0,1,0,1,1,0,0,0,0,0,1,2,0,0,2,1,0,1,0,1,1,1,0,0,1,0,1,1,1,1,0,1,1,0,1,2,0,1,1,0,0,1,0,2,0,0,1,0,0,0,2,0,0,0,0,0,0,1,1,0,1,0,0,1,2,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0,2,1,2,1,2,0,0,0,0,0,0,0,0,0,2,1,2,0,0,0,0,0,1,1,2,1,0,0,0,2,2,0,0,2,1,1,1,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,2,1,0,0,0,1,2,1,0,1,0,1,0,0,0,0,0,0,1,0,2,1,1,1,1,0,0,1,0,0,2,0,0,0,0,1,1,0,2,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,2,1,1,0,2,0,1,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,2,0,1,0,1,0,0,2,1,0,1,0,1,1,0,2,0,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0,2,1,0,0,1,1,0,0,2,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,2,2,1,0,0,0,0,0,2,2,0,1,0,0,1,0,1,0,0,1,2,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,1,0,1,1,1,0,2,0,0,0,1,1,1,1,0,1,2,0,0,1,1,1,2,0,1,0,1,1,1,1,2,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,2,1,0,0,0,0,0,1,0,0,1,1,2,0,1,1,1,0,0,2,1,0,0,1,0,0,0,2,0,1,0,0,0,1,1,0,1,0,1,0,2,1,0,0,1,1,0,1,1,1,1,1,1,0,2,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,2,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,2,1,0,1,0,0,1,0,2,1,1,0,0,0,1,0,1,0,1,0,0,0,0,1,0,2,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,2,0,0,0,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,1,1,1,2,0,1,2,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,2,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,1,0,1,0,1,0,0,1,0,1,1,1,1,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,0,1,2,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,2,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0 1,0,2,0,1,1,1,0,1,2,1,0,0,1,2,1,0,2,1,0,0,0,1,1,1,0,0,2,0,0,1,0,0,2,1,0,1,2,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,2,1,0,0,0,1,1,1,0,2,0,2,1,0,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,1,1,0,2,0,0,0,0,2,1,1,0,0,0,0,1,1,1,0,0,2,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,2,1,1,0,0,0,1,2,0,0,2,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,1,0,0,0,1,1,0,0,0,0,2,0,1,0,0,1,0,0,2,0,0,1,1,0,0,1,0,1,0,0,1,2,1,1,0,0,0,0,0,0,1,1,1,0,1,1,0,0,0,2,0,1,1,0,0,2,2,0,1,1,0,0,1,0,1,0,0,1,0,2,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0,0,0,1,2,0,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0,0,2,1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,0,2,2,2,1,0,0,0,1,1,0,2,0,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0,1,2,0,1,0,0,0,1,2,1,1,0,0,0,0,0,1,0,1,0,1,2,2,2,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,2,2,0,0,1,0,1,0,0,1,0,0,0,1,2,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,2,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,2,1,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,1,1,1,0,2,0,0,0,2,1,1,0,1,2,1,0,0,1,1,1,0,1,0,1,0,0,0,1,1,0,1,1,0,0,1,0,0,1,1,2,1,1,0,1,1,0,0,0,1,0,0,2,0,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,2,0,0,1,0,0,2,2,0,1,1,0,0,1,2,2,0,2,0,1,0,0,0,1,1,0,0,1,0,0,1,0,1,1,1,2,0,1,1,0,0,1,0,0,1,2,2,1,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,1,1,0,0,2,2,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,2,1,1,0,1,1,0,2,2,0,0,1,0,0,0,0,0,1,0,0,2,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,2,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,2,0,0,0,1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,2,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,1,0,1,2,1,2,1,1,2,0,2,0,1,1,0,1,1,0,0,0,2,0,0,0,0,1,2,0,2,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,2,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,2,2,1,1,0,1,1,0,2,1,0,0,0,0,2,1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,1,1,0,0,0,0,2,1,1,0,0,2,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,2,0,0,1,2,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,1,1,0 1,0,2,1,1,1,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,1,0,1,0,2,0,1,2,0,0,1,0,1,0,0,1,0,0,2,1,0,0,1,0,1,0,0,0,0,0,2,0,1,0,1,0,0,0,0,0,1,1,0,1,1,0,2,2,1,1,2,1,0,0,0,1,0,1,1,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,0,0,1,0,0,2,1,0,0,1,1,2,0,0,0,0,0,0,1,2,1,0,0,0,1,1,0,0,0,1,2,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,1,2,0,0,1,0,0,0,2,0,0,0,1,1,1,0,0,2,0,0,0,1,0,0,1,1,2,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,1,1,0,2,1,0,0,1,1,0,1,0,1,1,1,1,0,1,0,2,0,0,0,1,0,1,0,0,0,2,1,0,1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,1,1,1,1,0,0,0,1,2,1,1,0,2,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,2,0,2,1,2,0,0,0,1,1,0,0,1,1,0,1,1,2,1,0,0,1,1,0,0,2,0,0,2,2,1,0,1,0,1,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,1,1,2,2,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,2,0,1,1,1,0,0,0,1,1,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,2,1,0,1,2,0,1,0,1,0,0,2,0,0,0,0,0,0,1,2,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,2,1,0,0,1,2,0,1,0,2,0,2,2,0,2,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,2,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,2,0,1,0,1,0,0,1,0,2,1,0,2,1,0,0,1,1,0,1,2,0,0,1,1,0,0,1,0,1,0,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,1,0,2,1,0,0,0,0,0,0,2,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,0,2,0,1,0,0,0,1,1,1,0,0,1,0,2,1,0,0,2,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,2,0,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,2,0,0,2,0,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,2,1,1,0,0,1,2,1,0,0,1,0,2,0,2,1,1,1,0,0,1,0,2,0,0,0,0,1,0,0,0,0,2,1,0,0,1,0,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,2,0,1,1,0,0,0,1,0,0,2,0,1,0,1,2,1,1,2,0,0,0,0,0,0,1,1,2,2,1,0,1,0,1,1,0,0,0,1,0,1,1,1,0,1,0,2,0,1,2,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,1,1,0,1,2,1,1,1,0,0,0,0,1,2,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,2,2,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0 0,0,1,2,0,0,1,1,1,2,0,1,0,1,2,1,0,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,2,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,2,1,0,1,1,2,0,0,2,0,0,1,1,0,0,0,0,0,2,0,1,1,0,1,0,2,1,1,0,0,1,0,0,0,0,0,2,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,2,1,1,1,1,1,0,0,1,0,2,0,1,0,1,1,0,1,0,1,1,0,2,0,2,0,1,0,0,0,0,0,0,1,0,2,1,0,2,0,0,0,0,1,0,1,1,0,0,1,2,1,0,0,1,0,1,0,1,0,0,1,1,2,1,1,1,1,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,2,0,0,1,0,0,1,0,1,1,0,2,0,0,0,2,0,1,0,0,1,0,2,0,1,2,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,2,0,1,0,1,1,1,1,0,0,0,0,2,1,1,1,2,0,0,1,1,1,2,0,0,0,0,1,2,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,2,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,1,1,1,0,1,1,0,0,2,1,0,0,0,1,0,1,2,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0,2,1,2,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,2,1,1,1,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,1,1,0,1,0,1,0,0,1,2,2,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,2,1,0,0,1,0,0,1,0,0,1,1,1,0,1,2,1,1,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,2,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,2,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0,2,0,1,0,0,1,1,1,2,1,1,1,1,0,2,0,0,0,0,0,2,0,0,1,2,0,1,1,1,0,0,0,1,1,0,2,1,1,0,0,1,0,2,0,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,2,1,1,0,0,0,0,0,1,2,0,0,1,1,0,2,1,0,0,0,1,0,0,0,1,2,0,0,0,2,0,1,0,0,0,0,0,0,0,1,1,1,1,0,0,2,0,0,0,1,0,0,0,0,1,0,2,0,1,0,1,0,0,1,0,1,2,2,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,2,0,0,0,0,0,0,0,2,0,2,0,0,1,0,0,0,0,1,2,1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0,2,0,1,2,2,0,0,0,1,1,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,1,0,1,1,0,0,0,1,1,1,0,2,0,1,1,0,0,1,1,0,0,0,0,1,2,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,2,1,0,1,1,0,1,0,2,0,0,2,0,1,0,0,0,2,0,0,0,1,0,0,1,2,0,0,1,0,2,0,0,1,0,1,0,0,0,2,1,1,1,0,0,0,1,2,0,1,1,0,0,2,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,2,0,1,0,0,0,0,0,1,1,0,0,1,1,0,1,1,2,0,1,1,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0 0,0,1,1,1,1,1,0,1,2,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,2,0,2,1,0,1,0,0,0,0,0,1,0,0,0,2,2,0,1,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,2,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,2,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,1,1,1,1,0,0,1,2,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0,1,1,0,0,1,1,2,0,1,1,0,2,0,1,0,1,0,1,1,0,2,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,2,0,2,1,0,1,0,0,1,0,0,1,2,1,0,0,0,1,0,0,2,0,1,0,1,0,1,1,0,0,1,1,2,0,0,0,1,2,2,0,0,1,1,0,0,1,1,1,1,0,1,1,0,2,1,0,0,1,0,0,1,1,0,0,0,0,2,0,0,1,1,0,0,1,0,2,1,0,0,0,2,0,0,0,0,0,0,2,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,2,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,2,0,0,0,0,1,0,2,0,0,0,0,2,0,1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,2,0,0,0,1,0,1,1,1,0,0,0,0,0,2,1,1,0,1,0,0,1,1,0,1,0,1,0,0,2,1,1,0,0,0,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,2,0,0,1,0,0,0,1,1,0,0,2,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,2,1,0,0,0,1,1,1,1,0,1,0,0,0,1,2,1,0,2,0,0,1,1,1,0,0,1,0,2,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,2,1,0,0,0,2,1,0,1,0,1,0,1,1,0,1,2,0,0,2,0,0,0,1,0,1,0,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,2,1,0,0,1,0,2,0,1,0,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,1,1,0,0,1,1,0,1,2,0,0,0,0,1,1,0,2,1,1,1,0,0,1,0,1,0,1,1,1,1,0,0,1,0,0,2,1,0,1,0,2,1,1,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,2,1,0,1,1,2,2,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,2,0,0,0,1,2,2,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,2,1,0,0,0,0,1,1,0,1,1,1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,1,2,0,0,1,0,0,1,0,0,2,0,0,1,1,0,1,0,1,0,0,0,2,0,0,0,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,1,2,0,0,1,1,1,1,0,0,2,1,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0 0,1,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,1,2,0,0,0,0,1,2,1,2,0,0,1,1,0,2,0,0,0,1,2,2,0,2,1,1,2,1,0,2,0,0,0,0,0,0,0,2,0,2,1,0,0,0,0,0,0,0,0,2,0,1,1,0,0,1,0,1,0,0,2,0,0,0,0,0,1,0,2,2,0,2,0,1,2,0,0,1,1,1,0,0,0,0,2,1,2,1,1,0,0,0,2,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,2,2,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,0,2,0,0,2,0,2,0,1,0,0,1,2,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,1,2,0,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,0,2,0,0,1,1,1,1,1,0,0,1,0,1,0,2,0,1,0,0,0,0,0,0,0,0,2,1,2,0,0,0,2,0,0,1,2,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0,2,0,0,0,0,0,0,1,0,1,0,1,0,0,2,1,0,0,2,2,0,1,0,1,0,1,2,1,1,1,2,0,0,1,0,0,1,0,0,0,1,0,0,0,2,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,2,1,1,0,1,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,2,2,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,2,1,1,0,0,1,1,0,0,2,0,0,1,1,2,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,0,1,2,2,0,1,2,0,1,0,0,2,0,0,1,1,2,1,1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,2,0,0,1,0,2,0,0,0,0,0,0,2,1,0,0,1,0,0,2,0,0,1,1,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,2,0,1,0,0,1,2,0,0,0,1,2,1,0,0,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,1,2,1,2,0,1,0,1,1,1,0,1,1,1,1,1,0,1,0,0,1,2,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,1,0,1,0,0,2,1,2,0,0,0,2,2,2,0,2,0,1,0,0,0,2,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0,2,1,0,0,0,0,0,0,1,1,0,0,2,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,2,0,2,1,1,0,0,0,2,1,0,1,2,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,1,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,2,1,0,0,0,0,1,2,0,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,1,2,1,0,0,0,1,0,1,0,0,0,1,0,1,0,1,0,2,1,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,1,0,0,2,1,1,1,1,1,0,0,2,0,1,2,0,0,1,0,0,1,1,2,0,0,0,2,0,1,1,0,0,0,2,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,2,1,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,1,0,2,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0 1,0,1,2,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,1,2,1,2,0,1,0,1,0,0,2,1,1,0,0,1,1,0,2,1,0,1,1,0,0,1,0,0,2,0,0,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0,2,1,1,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,2,1,1,0,1,0,0,2,0,1,1,0,2,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0,1,2,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,0,1,0,1,0,0,0,0,2,0,1,1,0,0,1,0,0,0,2,0,1,0,0,0,2,0,0,0,0,0,2,1,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,2,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,2,0,0,0,2,0,0,0,0,2,0,1,0,0,1,0,1,0,0,0,0,1,0,2,0,0,0,1,0,1,2,0,0,0,0,2,0,0,1,0,1,0,2,1,1,0,0,1,0,0,1,0,0,0,1,0,2,1,0,0,0,1,1,1,1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,2,0,1,0,0,0,0,0,2,2,0,1,2,0,1,0,2,1,1,0,0,1,2,2,0,0,1,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,2,0,0,1,1,2,0,1,1,1,0,1,0,0,1,2,1,1,0,0,0,0,0,1,1,0,1,1,0,1,2,1,0,1,2,1,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,2,0,0,1,0,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,1,0,1,0,2,0,1,0,2,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,1,0,1,0,0,0,1,0,2,0,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,2,1,0,1,0,1,0,1,1,1,0,1,0,0,2,0,2,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,2,0,0,0,0,0,1,2,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,1,1,0,2,1,1,0,2,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,2,0,1,0,0,1,1,0,0,0,2,0,0,2,0,0,1,0,0,2,1,0,0,0,0,1,2,1,0,0,0,0,0,2,0,0,1,2,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,2,1,0,0,0,2,0,0,0,0,0,2,1,0,2,0,1,1,0,1,0,0,1,0,1,1,0,2,0,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,2,1,0,0,0,1,0,0,1,1,2,0,1,1,0,0,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,2,0,0,0,0,1,0,1,0,2,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,2,0,0,0,1,0,1,2,1,1,0,0,0,1,2,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,2,1,1,2,0,0,0,1,1,0,0,1,0,0,0,0,0,1,2,1,0,1,0,1,0,1,0,2,1,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,2,1,1,0 1,0,2,2,1,0,1,1,0,1,1,0,0,2,1,1,0,1,1,0,0,0,0,0,1,0,1,2,0,0,0,0,1,0,0,0,0,1,0,0,1,2,1,1,0,1,1,1,2,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,1,0,1,0,2,0,0,1,2,0,2,0,0,1,0,0,0,0,0,0,1,0,1,0,2,1,0,0,0,2,0,0,1,1,0,1,0,1,0,1,1,0,1,2,0,1,0,1,1,2,0,0,1,0,1,1,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,2,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,2,1,1,1,1,0,1,0,1,0,0,0,2,0,0,1,0,0,1,0,0,1,1,1,0,2,1,1,2,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0,2,0,1,0,1,1,0,2,1,0,0,0,2,0,0,1,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,2,0,2,0,1,0,0,0,1,2,1,1,0,0,0,1,0,1,1,0,0,0,1,2,1,0,0,0,2,0,1,1,1,1,0,0,1,1,0,0,2,1,1,0,1,0,0,0,1,1,0,0,2,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,2,0,0,1,1,0,0,0,1,1,2,0,0,0,0,1,0,1,1,0,0,1,2,0,2,0,0,0,0,0,2,1,1,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,1,1,2,0,2,1,1,0,0,2,1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,1,2,0,0,1,0,0,0,1,1,1,2,0,0,0,0,0,1,1,0,0,0,1,0,2,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,2,0,1,0,1,0,1,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,2,0,1,1,0,1,0,0,2,0,0,0,0,0,1,0,0,1,0,2,0,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,2,1,0,0,1,0,2,2,0,1,1,0,0,0,0,1,2,1,1,2,2,0,0,0,0,0,2,2,0,0,1,1,0,1,0,0,1,1,0,2,2,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,2,0,1,0,2,0,0,0,1,1,1,0,1,1,0,0,1,0,0,1,2,0,1,0,0,2,2,2,0,1,1,1,0,0,0,2,0,1,0,0,1,0,1,2,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,2,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,2,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,2,0,1,0,1,0,0,0,0,0,2,0,1,1,2,0,0,0,0,0,0,1,0,1,1,0,1,1,2,1,0,1,2,0,0,0,2,2,1,1,2,1,2,1,0,0,0,1,0,0,0,1,0,1,1,1,1,2,0,0,0,0,0,0,1,2,0,0,0,2,0,1,0,1,1,0,1,1,1,0,0,0,0,0,2,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,2,0,0,1,0,0,0,0,2,0,0,0,1,1,1,1,0,0,0,0,0,0,2,1,1,1,0,0,2,0,0,0,1,0,1,0,0,1,0,0,0,1,0,2,2,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,2,1,0,0,1,1,0,0,0,2,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,1,2,0,0,0,0,2,0,0,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,1,1,1,1,0 2,0,0,1,2,0,0,1,0,0,2,1,0,2,1,1,0,1,0,0,0,0,1,0,1,0,1,1,0,0,1,0,2,0,0,0,0,1,1,0,0,2,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,2,1,0,2,0,0,0,1,1,1,2,0,1,1,1,0,0,0,1,0,1,0,2,1,0,1,0,0,2,1,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,1,1,1,1,1,0,1,0,0,0,2,0,0,0,0,1,1,2,2,1,0,0,1,0,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,2,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1,2,0,1,0,0,0,0,1,0,0,2,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,2,0,1,1,0,0,0,0,1,2,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,0,1,0,2,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,2,0,0,0,1,1,0,0,0,1,0,0,0,1,2,1,0,0,0,0,1,1,0,0,1,1,0,1,1,1,1,1,0,1,1,1,0,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,2,0,2,0,0,0,0,0,1,2,1,0,1,0,1,1,0,0,0,0,1,0,1,0,2,0,1,1,0,0,0,0,0,0,2,0,0,1,0,0,2,1,0,0,0,1,0,0,1,2,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,1,2,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,1,1,2,0,2,1,2,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,2,2,1,2,0,1,1,0,0,0,2,1,2,1,1,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,2,0,1,2,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,1,1,1,0,0,0,2,0,1,1,1,0,1,2,1,0,0,0,0,2,2,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1,2,0,1,1,2,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,1,0,1,0,2,0,0,0,0,0,0,1,0,0,0,2,1,2,1,0,0,0,0,0,2,0,0,1,1,2,0,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,0,1,2,1,1,0,1,0,1,1,0,0,1,0,1,0,0,2,0,0,0,0,1,1,0,0,1,2,0,0,2,1,2,2,0,1,1,1,1,1,1,0,0,0,0,2,1,0,0,0,0,0,2,0,0,1,1,1,1,0,2,1,0,0,2,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,2,0,2,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,1,1,0 0,0,1,1,0,1,0,1,1,1,1,0,1,1,2,2,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,1,1,0,1,0,1,0,2,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,1,1,1,0,0,1,1,1,1,0,0,0,0,0,2,2,1,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,2,0,0,2,1,0,0,1,0,1,0,0,0,1,1,1,0,1,1,1,1,2,0,0,0,2,2,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,0,1,1,2,1,0,2,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,2,0,0,1,1,0,2,0,1,0,1,0,0,0,0,0,2,1,1,1,1,0,0,1,0,1,2,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,2,0,2,0,2,0,0,2,1,1,0,0,2,1,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,2,0,0,0,0,0,1,0,0,1,1,1,1,0,0,1,0,2,0,1,1,2,0,0,2,1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,2,1,0,0,1,0,0,2,1,0,0,0,0,1,0,1,0,0,0,0,2,0,1,1,2,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,2,1,0,1,0,1,1,2,0,1,2,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,2,0,0,0,0,2,1,0,1,1,1,0,0,0,0,1,0,0,0,1,1,0,0,1,1,1,1,1,0,0,2,0,0,0,0,1,1,0,0,1,2,1,1,0,1,1,1,0,0,0,1,1,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,1,1,0,1,2,0,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,2,0,1,1,1,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,1,2,1,1,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,0,2,0,0,1,1,1,0,1,1,0,1,2,0,1,0,1,0,1,1,1,0,0,1,2,2,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,1,1,0,0,0,1,0,2,0,0,1,0,1,2,1,0,0,1,1,0,2,0,1,1,0,0,0,0,0,1,0,0,1,2,1,0,0,1,0,1,1,1,1,0,0,0,1,0,2,1,1,1,0,1,0,1,1,0,2,1,0,0,0,0,1,0,0,0,1,2,2,1,1,0,1,0,0,0,1,0,2,1,0,1,1,0,0,1,0,1,0,0,2,1,2,0,1,1,2,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,2,2,1,0,0,2,0,1,0,0,0,0,2,0,0,1,0,2,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,2,1,0,1,0,0,2,0,0,1,0,0,0,0,0,0,1,1,0,0,0 1,0,0,1,0,0,0,0,0,1,1,1,1,2,1,0,0,2,1,0,0,0,0,0,0,0,1,1,0,0,2,0,2,1,0,0,0,1,1,1,2,1,0,1,2,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,0,0,2,0,0,2,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,2,0,1,0,1,1,0,2,1,2,1,1,0,1,0,0,0,1,2,0,0,1,1,1,0,0,0,0,0,0,0,0,2,0,1,1,1,2,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,1,1,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,1,1,1,0,1,1,1,1,1,1,0,0,2,0,1,1,0,0,1,2,0,0,1,1,1,1,2,0,2,1,1,2,0,0,1,0,0,0,1,2,0,0,0,0,0,0,2,0,0,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,2,0,1,1,0,0,0,1,0,0,0,0,0,1,1,2,0,1,0,1,0,0,1,0,2,1,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,1,2,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,2,1,0,0,0,1,0,1,0,0,1,2,0,0,1,0,0,0,0,1,1,2,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,0,2,1,1,1,0,1,0,2,1,1,0,1,2,0,1,1,0,0,0,1,0,0,0,1,1,1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,1,0,1,0,1,1,0,2,0,2,0,1,0,1,0,2,2,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,2,1,1,1,0,0,2,1,0,0,1,0,2,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,1,1,0,1,0,0,0,1,2,0,1,0,0,1,0,1,0,2,2,2,2,1,0,0,0,0,1,1,0,0,1,0,0,1,2,0,0,0,1,0,1,0,2,1,0,1,0,1,1,0,0,0,2,1,0,2,0,1,0,0,1,2,1,1,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,2,0,0,2,1,0,0,0,1,0,1,1,1,1,0,0,2,2,0,0,1,0,0,1,0,1,2,1,0,0,0,1,1,0,1,1,1,1,0,0,2,0,0,0,0,0,1,0,0,0,2,0,1,1,2,2,2,0,0,0,0,1,0,1,1,1,1,0,0,1,1,1,2,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,2,0,2,0,0,2,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,2,2,1,0,1,0,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,2,0,1,0,0,1,0,0,2,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,2,1,2,0,0,0,0,0,0,2,1,0,0,0,1,1,0,2,1,1,2,1,2,0,1,1,0,1,0,1,0,2,2,0,0,0,1,0,0,1,1,1,0,0,1,1,0,1,1,2,1,1,0,0,1,0,0,1,0,2,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,2,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,1,1,0 1,1,0,2,1,1,0,1,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,2,0,2,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,2,2,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,2,1,1,0,0,1,0,0,0,0,0,1,1,1,1,2,2,0,0,0,0,1,1,0,1,1,1,0,1,1,1,1,1,1,1,0,0,0,1,1,1,1,0,1,2,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0,2,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0,0,1,1,2,1,2,0,0,1,0,0,0,1,1,2,1,0,2,1,0,1,1,2,0,0,0,1,0,2,0,0,0,0,2,1,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,2,0,0,1,1,2,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,2,0,0,0,0,1,0,0,0,1,2,0,1,0,0,1,0,2,0,1,1,0,0,0,1,1,1,0,0,2,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,2,1,1,2,2,0,0,0,1,1,1,2,1,1,0,0,0,2,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,2,0,2,0,1,0,2,1,1,0,1,0,0,1,0,0,1,2,0,2,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,2,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,2,0,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0,2,1,0,1,0,0,2,0,2,0,1,2,1,0,2,1,0,1,1,1,1,0,0,0,0,0,2,0,1,0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,2,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,2,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,2,0,1,0,0,1,0,0,1,0,1,2,2,0,0,1,1,0,0,1,1,1,0,0,1,1,0,1,1,1,1,1,0,2,0,0,1,1,1,1,1,0,0,0,2,1,0,0,0,1,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,2,0,0,0,2,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,1,2,0,2,0,0,2,1,0,0,1,1,0,1,0,0,1,2,0,0,1,1,0,1,0,0,1,0,2,0,0,1,0,0,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,1,1,1,1,2,1,1,2,0,0,0,2,1,0,0,0,0,2,2,0,0,0,1,0,0,0,1,0,0,2,0,0,0,1,1,1,1,0,1,0,1,0,2,0,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0,2,0,0,0,1,0,0,1,2,0,1,0,1,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,1,1,2,1,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,1,2,2,0,0,1,0,0,0,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,2,1,0,0,0,0,0,0,1,0,1,0,1,0,0 0,0,0,2,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,2,0,1,1,0,0,0,0,0,1,0,0,1,1,2,0,0,1,2,0,0,2,0,0,0,0,0,0,1,0,0,1,1,0,1,2,0,0,2,1,0,0,0,0,0,2,0,0,2,1,0,2,0,2,0,0,0,1,1,2,0,1,0,1,1,1,1,0,0,0,1,1,2,0,1,0,0,2,1,0,0,0,2,0,1,0,1,0,2,0,1,0,0,0,0,0,1,0,2,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,2,1,1,0,0,0,1,0,1,2,2,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,2,0,0,1,2,1,0,1,1,0,0,0,0,1,1,1,2,0,0,1,0,0,0,0,2,0,1,0,2,1,2,0,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0,1,0,2,0,0,2,0,0,0,0,0,2,0,0,1,0,0,2,0,0,0,0,1,1,1,1,1,2,0,0,1,2,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,2,1,0,0,1,0,0,1,0,0,1,1,0,1,0,1,0,2,0,0,0,1,1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,2,1,1,0,2,1,0,0,1,0,2,2,0,1,0,0,0,0,1,1,0,2,2,2,1,2,1,0,0,1,0,2,2,1,0,1,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,2,2,0,0,0,0,2,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,2,0,1,0,1,0,0,0,1,2,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,2,0,1,0,1,1,2,0,1,0,1,2,2,0,0,0,2,1,0,0,0,0,0,1,1,2,0,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,2,0,1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,2,0,2,0,0,0,0,1,1,1,0,0,1,0,0,2,2,0,0,0,0,0,1,1,2,1,1,1,0,1,2,2,1,2,1,1,2,0,0,0,1,0,0,1,0,0,1,1,0,2,1,1,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,2,2,0,2,1,0,0,2,0,0,1,0,1,2,0,1,0,1,0,0,0,1,2,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,1,1,1,2,0,0,1,2,1,2,0,0,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,1,1,2,0,1,0,0,0,0,0,0,1,1,1,2,0,0,0,0,2,0,0,0,0,2,0,0,0,0,1,2,2,0,0,2,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0,0,0,2,0,1,1,0,0,0,0,0,0,1,1,2,0,1,2,0,1,0,0,0,2,0,0,0,0,1,1,2,0,1,0,0,0,0,2,1,0,2,2,2,2,0,1,2,0,0,1,2,1,0,0,0,2,2,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,2,1,0,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,1,2,1,0,1,0,1,0,0,0,2,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,2,0,0,0,1,2,2,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0,1,2,0,0,0,0,0,1,1,2,1,1,0,0,0,2,0,1,0,0,2,0,1,0,0,1,2,0,0,1,0,0,1,0,0,0,0,0,1,2,0,1,0,0,2,0,1,1,0,0,1,0,2,2,1,2,0,2,1,1,0,1,0,2,0,0,1,1,0,0,0,0,1,1,1,1,0 1,1,0,2,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,2,2,1,1,0,0,1,2,2,0,1,0,0,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,2,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,2,2,1,0,2,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,2,0,1,2,0,1,0,1,0,0,2,0,0,1,0,0,1,2,0,0,1,0,1,2,1,0,0,2,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,2,1,1,2,1,0,1,0,1,0,2,1,2,0,0,1,1,1,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,1,1,0,0,1,2,0,1,1,0,0,0,1,1,1,1,1,0,0,0,2,0,2,1,0,0,1,2,0,1,0,0,0,0,1,0,0,0,0,1,2,2,1,1,0,1,1,1,0,0,0,0,1,2,0,1,1,0,0,2,1,0,1,1,0,1,1,2,0,0,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0,2,1,2,0,2,0,0,1,2,0,0,0,0,0,0,0,2,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,2,0,1,1,1,1,1,0,2,0,1,0,0,0,1,1,0,1,0,2,0,1,0,1,1,2,0,1,0,0,0,1,0,0,0,1,1,1,2,1,0,1,0,0,1,0,0,0,0,1,2,1,0,0,2,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,0,2,0,0,1,2,0,0,2,0,0,0,0,0,0,1,1,0,1,1,2,0,0,1,0,0,1,0,0,0,0,1,0,1,1,2,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,2,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,2,1,0,1,1,0,0,0,0,0,0,0,0,1,0,2,0,0,1,1,1,0,0,0,2,0,0,0,0,1,1,0,1,2,0,1,1,1,2,2,1,1,0,0,1,0,0,0,2,0,0,2,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,1,2,1,1,1,0,1,1,0,0,1,1,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,2,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,2,1,0,1,1,0,0,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,2,0,0,0,0,0,1,0,0,1,0,0,1,1,1,2,0,0,1,0,0,1,0,1,1,1,1,1,0,1,0,1,0,0,0,1,0,2,1,0,2,1,2,1,1,0,0,0,0,1,0,1,1,2,2,1,0,0,0,0,0,0,1,1,1,2,0,0,0,0,1,1,0,0,0,0,1,2,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,1,1,1,0,2,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,2,0,1,1,2,0,0,0,0,0,0,1,1,0,0,2,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,1,1,2,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,1,0,2,0,2,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0 0,0,1,0,0,1,1,0,1,0,2,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,2,2,1,1,2,0,1,1,0,0,0,0,1,0,0,2,0,1,0,2,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,2,0,1,2,1,0,1,1,0,0,1,0,1,2,2,0,0,0,0,1,2,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,2,0,2,0,0,0,1,0,0,0,1,1,0,0,0,2,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,2,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,1,1,1,0,0,0,1,1,1,1,1,0,0,1,0,0,1,0,2,0,1,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,2,0,0,1,2,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,2,0,0,1,0,0,1,2,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,1,0,2,1,1,2,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,2,0,0,1,1,0,1,0,1,1,1,0,0,2,0,1,1,0,0,1,1,1,0,1,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,2,2,1,0,0,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,2,0,1,0,2,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,2,0,0,0,0,1,1,0,1,0,2,0,0,0,2,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,2,1,1,0,0,1,1,0,0,2,1,1,0,0,2,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,2,0,1,1,0,2,0,0,0,1,1,0,1,0,0,0,0,2,1,0,0,1,0,1,1,1,1,1,0,0,0,1,2,0,1,0,0,0,2,0,0,1,1,0,0,2,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,2,2,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,1,2,0,0,0,1,1,1,2,1,1,0,0,0,2,0,2,1,1,2,0,1,0,1,0,1,0,0,2,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0,1,1,2,0,0,0,0,0,0,2,0,0,0,0,1,0,1,0,1,2,0,0,1,1,0,2,1,0,2,0,0,0,1,0,0,0,1,2,0,0,0,0,2,2,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,2,1,1,0,0,0,1,0,2,2,1,0,0,1,0,2,1,2,0,1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,1,1,0,2,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,2,0,0,1,1,1,0,0,0,1,0,1,1,2,0,2,0,1,0,0,0,1,1,1,0,0,0,2,0,0,0,1,0,0,0,1,1,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,2,1,0,2,0,0,1,1,0,0,1,1,0,1,1,0,0,2,1,1,0,1,1,0,0,1,2,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,1,2,1,0,0,1,1,1,1,1,1,0,0,0,1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,2,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,2,0,0,1,0,0,1,1,1,1,2,0,1,1,0,2,2,0,0,1,0,0,1,1,1,1,0,0,0,1,0,2,1,1,1,0 0,0,0,2,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,2,1,1,0,1,2,0,1,0,1,0,2,0,0,0,1,1,1,0,0,0,0,2,1,1,2,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,1,2,0,0,0,0,0,1,0,0,2,0,0,0,0,2,1,0,2,0,1,0,2,0,1,0,0,2,2,1,0,0,0,0,1,1,0,2,0,1,0,0,2,0,0,1,1,0,0,0,0,2,0,0,1,1,1,2,0,0,0,0,2,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,1,2,0,1,0,0,1,1,1,1,0,0,0,0,0,2,0,0,1,1,1,0,2,1,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0,1,2,0,2,1,2,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,1,2,1,1,1,0,1,2,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,2,0,2,0,0,0,0,1,1,1,0,0,0,0,1,2,1,0,2,0,1,1,1,0,1,2,0,0,1,2,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,2,1,0,1,0,0,0,0,1,0,1,1,1,0,2,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,2,1,2,0,1,2,0,0,0,0,1,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,1,2,1,1,2,1,0,0,1,1,1,1,0,1,1,0,0,2,0,0,0,2,1,1,1,1,1,2,0,1,0,0,0,2,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,2,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,2,1,0,0,0,0,1,1,0,2,1,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,2,1,2,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,2,0,2,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,2,0,1,0,1,0,1,0,1,1,2,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,1,0,1,1,2,1,1,0,1,0,1,0,1,1,0,0,0,1,0,2,1,0,1,0,0,1,1,1,1,0,0,2,0,1,0,1,0,1,0,0,0,1,0,0,1,2,1,0,2,0,1,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,1,0,2,0,2,2,2,0,0,2,1,1,0,0,1,2,1,1,0,1,0,2,0,1,1,1,0,0,0,0,1,0,2,0,0,1,1,2,2,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,2,1,1,2,1,0,0,0,0,1,0,1,1,1,2,0,0,2,0,0,2,1,1,0,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,1,0,1,0,1,2,1,0,1,0,0,1,0,1,1,0,0,2,0,1,0,1,0,0,0,1,1,0,0,0,1,1,1,0,1,0,1,0,0,2,0,1,0,1,2,1,0,2,1,1,0,1,0,0,0,0,0,2,1,1,1,0,2,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,2,0,0,1,1,1,0,0,0,0,1,2,1,0,0,0,0,0,1,2,0,0,0,0,0,0,1,0,1,0,0,2,0 0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,2,1,1,1,2,2,2,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,2,0,2,0,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,2,0,1,0,2,2,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,1,1,0,2,1,1,0,1,0,1,1,0,1,0,0,0,0,0,2,0,0,2,0,2,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,2,1,0,0,0,1,2,0,2,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,2,1,0,0,1,0,1,1,0,1,0,0,2,1,1,1,0,0,1,2,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,2,1,0,1,0,2,0,0,1,0,1,0,1,1,1,0,1,0,2,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,1,2,2,1,1,1,0,0,2,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,2,1,1,0,0,2,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,2,0,1,0,0,0,0,1,1,1,0,1,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,1,0,0,1,2,2,1,0,1,0,0,1,1,0,2,0,1,1,0,0,1,1,0,0,1,0,0,0,0,2,1,2,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,1,0,0,0,0,0,2,0,0,1,1,0,0,1,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,1,1,0,2,0,0,0,1,0,0,2,1,0,0,0,1,0,1,1,0,1,1,0,0,1,1,0,1,1,2,1,0,0,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,0,2,1,0,0,1,0,0,0,2,2,2,1,1,0,0,1,2,0,1,0,0,0,0,1,0,0,1,0,0,1,2,0,1,0,0,0,0,0,1,2,0,0,1,0,0,2,0,1,0,1,0,0,1,2,2,0,0,0,2,0,0,2,2,0,0,1,0,0,1,2,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,2,2,0,1,0,1,1,2,1,0,0,0,0,0,0,0,1,2,0,1,1,0,1,2,1,1,0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,2,1,0,1,0,2,0,0,1,1,1,1,0,0,2,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,2,1,0,0,0,1,0,2,2,1,1,0,2,0,1,1,0,0,2,0,0,0,0,1,2,0,0,0,2,1,0,1,1,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,1,1,2,1,2,1,0,0,1,0,1,0,1,1,1,2,0,1,0,2,2,1,0,0,0,0,2,1,0,0,1,2,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,2,0,0,1,2,0,1,1,0,1,1,1,2,2,1,0,0,0,2,2,1,0,0,1,2,0,0,1,0,1,0,0,0,2,0,1,0,0,0,0,2,1,1,1,1,0,2,1,0,0,2,0,0,0,0,1,2,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,2,0,0,1,0,1,1,0,0,0,1,0,1,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0 0,0,0,2,0,1,0,0,1,1,1,1,0,1,2,0,1,2,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,2,0,0,2,0,0,1,2,1,1,1,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,2,0,2,0,2,2,0,0,1,1,0,0,0,1,0,1,0,0,0,1,1,0,2,1,0,0,1,1,0,0,0,0,2,0,1,2,1,2,0,0,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,2,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,2,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,2,2,2,1,1,0,0,0,0,1,1,0,1,1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,2,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,2,0,1,0,0,2,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,2,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,2,0,1,0,0,1,0,0,1,1,2,0,1,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,1,0,0,1,0,0,1,2,0,1,0,0,1,0,0,0,1,2,0,2,1,1,0,0,0,2,1,1,0,1,0,0,1,1,1,1,1,1,0,1,1,0,1,0,1,0,0,2,0,2,1,1,1,2,2,0,0,1,1,0,2,0,0,0,1,1,0,0,1,0,1,0,2,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,2,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,1,0,1,1,0,1,0,1,0,0,1,0,2,0,0,1,0,0,0,0,2,2,1,0,0,1,0,2,1,1,0,0,1,1,2,1,0,0,1,1,0,1,1,0,2,1,0,0,0,0,2,0,0,1,1,0,1,0,0,0,0,0,1,2,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,1,0,2,0,1,2,0,0,2,1,0,2,1,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,0,1,1,2,0,0,1,1,0,0,1,1,0,1,1,1,1,1,0,2,2,0,2,0,0,0,0,1,2,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,1,2,1,0,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,2,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,2,0,0,2,0,1,1,1,2,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,2,0,1,1,0,1,1,0,0,1,1,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,0,2,1,0,0,1,0,0,0,0,1,0,0,2,1,0,0,0,0,2,1,0,2,1,0,0,0,2,1,0,0,0,1,1,1,0,1,1,1,0,0,2,1,1,0,0,1,0,2,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,2,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,2,2,0,0,0,0,1,0,0,0,2,0,1,0,1,1,2,2,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,2,1,1,0 0,0,1,0,1,0,0,2,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,2,2,0,1,0,0,0,1,1,0,1,1,0,0,1,1,0,2,1,1,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0,2,0,0,0,2,1,0,0,0,1,0,0,1,0,2,1,2,2,2,1,0,1,0,0,0,0,0,0,0,1,0,1,2,2,0,1,1,1,0,0,0,2,0,0,1,2,1,1,0,0,2,1,1,0,0,0,0,1,1,0,2,1,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,2,1,0,1,1,0,0,0,1,1,1,2,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,2,0,0,2,1,0,0,1,2,0,0,0,1,0,0,0,0,0,1,0,2,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,2,0,2,0,0,1,0,1,0,0,1,0,2,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,2,0,1,1,0,2,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,2,0,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,2,1,0,2,0,0,1,1,0,0,0,2,0,0,0,1,0,0,0,1,1,1,0,2,0,1,1,1,0,1,0,1,0,1,0,1,2,1,0,0,1,1,0,2,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,2,0,1,0,1,0,0,2,1,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,2,1,0,1,1,0,0,2,0,0,0,2,1,0,2,0,1,0,1,1,0,1,0,0,0,0,0,2,0,0,1,1,0,1,0,0,1,1,0,1,2,0,1,0,0,0,0,2,0,1,0,0,2,0,0,0,0,0,1,1,1,2,0,0,1,1,1,0,1,1,0,0,1,2,0,0,0,0,1,1,0,2,0,0,0,1,1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,2,2,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,2,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,2,0,1,1,1,0,0,0,1,2,1,0,1,1,0,0,0,0,0,1,2,1,1,0,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,1,0,2,1,1,0,1,0,0,0,2,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0,2,0,0,1,0,0,0,2,0,2,0,1,0,0,1,0,2,1,0,0,1,0,0,2,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,2,0,1,0,1,0,2,0,0,0,0,1,2,0,0,0,0,1,0,0,1,0,0,1,1,0,2,0,1,2,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,2,1,0,0,1,1,0,0,0,0,0,1,1,1,1,1,1,1,2,1,0,0,0,0,0,0,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,2,1,0,1,2,1,2,0,0,1,1,0,1,0,0,0,0,0,0,2,0,0,0,0,1,1,2,0,0,0,0,1,1,1,1,2,1,2,1,0,1,0,0,1,1,1,1,1,2,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,1,1,1,2,2,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,1,1,0,2,0,0,0,1,1,0,0,1,0,0,0,2,0,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,1,1,0,2,0,0,1,1,1,1,2,1,2,0,0,1,2,0,1,0,0,0,0,0,1,1,1,1,1,0 1,0,1,0,2,0,0,0,0,2,1,1,0,2,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,2,0,0,1,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,2,0,0,0,0,1,0,2,1,1,0,1,2,0,1,2,0,0,2,0,0,0,0,0,1,2,2,1,2,0,1,0,1,1,0,0,0,2,0,0,2,0,0,2,1,1,0,1,0,0,1,0,0,0,1,2,1,1,0,1,2,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,2,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,2,1,0,0,0,0,1,0,1,1,0,1,1,0,1,0,1,0,1,1,1,1,1,1,1,2,0,0,0,1,0,0,1,1,0,2,0,0,0,1,2,1,0,0,1,0,2,2,0,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,2,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,2,1,0,1,0,0,1,1,0,1,0,1,2,0,0,0,0,0,1,2,1,2,0,0,0,2,0,2,0,0,0,0,1,1,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,2,1,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,1,0,1,1,1,0,0,0,2,1,1,1,0,1,0,0,0,1,0,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,1,1,2,1,1,1,0,1,0,1,0,0,0,0,1,1,1,1,0,0,0,2,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,2,1,1,0,0,0,0,1,0,0,1,0,1,0,0,2,0,0,1,1,2,0,2,0,0,1,0,2,0,2,0,1,0,0,0,1,0,0,1,1,0,0,0,2,1,0,1,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,2,0,0,0,1,1,0,2,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,1,1,2,0,1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,2,0,1,0,2,0,1,1,0,0,2,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,2,0,2,0,0,0,0,0,1,0,2,0,1,1,0,1,0,0,1,2,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,1,1,1,0,0,1,1,2,1,0,0,0,0,0,1,0,2,0,0,1,1,0,2,0,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,0,2,0,0,2,2,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,2,1,0,1,0,1,1,1,1,0,0,0,0,0,2,0,0,0,2,2,2,0,1,2,1,0,0,0,2,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,2,1,1,0,0,1,0,0,0,1,1,0,0,0,0,2,0,1,0,1,1,2,1,0,2,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,1,2,0,0,2,1,1,1,1,1,2,1,1,0,0,1,0,0,1,0,0,2,0,1,0,0,0,0 2,0,1,2,1,0,0,0,2,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0,1,0,1,1,2,0,1,2,0,0,0,2,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,0,2,2,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,1,0,2,0,0,0,0,2,2,1,1,0,0,0,2,1,0,0,1,0,0,1,0,1,0,2,1,0,1,0,2,0,0,1,0,1,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,2,1,0,0,1,0,0,0,0,0,0,0,1,2,2,2,0,0,0,0,0,1,0,0,0,1,1,2,1,0,0,0,0,0,0,1,0,2,2,2,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,2,1,2,0,0,1,0,0,1,0,0,1,2,0,1,1,0,1,1,0,1,1,1,0,0,2,1,0,1,0,0,0,1,2,2,2,0,0,0,0,1,0,1,0,0,0,2,1,1,1,1,1,0,1,1,0,0,1,0,1,2,1,1,0,0,2,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,2,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,0,2,1,0,0,0,1,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,1,1,2,1,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,2,0,1,0,0,2,0,0,2,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,2,0,0,2,0,1,0,0,1,1,0,0,2,0,0,1,0,1,0,0,0,0,0,0,1,1,0,2,0,0,1,1,0,0,0,2,0,1,0,0,1,1,2,1,1,1,1,1,2,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,2,0,1,1,1,1,0,0,0,0,0,1,0,0,0,1,1,0,2,1,0,0,0,0,0,2,0,2,1,1,1,1,1,1,0,0,1,2,2,0,0,0,0,1,0,2,0,2,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,1,1,2,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,1,2,1,0,0,0,2,0,0,0,1,1,0,2,1,0,1,0,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,1,2,0,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,2,0,0,1,2,0,0,0,2,1,1,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,2,0,1,1,1,1,2,0,2,0,1,0,0,1,0,0,0,0,1,2,0,0,0,0,0,1,0,2,1,1,2,1,0,0,0,0,0,1,2,0,0,0,1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,1,0,2,1,0,0,1,0,2,0,0,0,0,1,0,0,1,2,1,0,0,2,0,0,0,1,0,0,0,0,0,2,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,2,0,0,2,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,2,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0,2,0,0,0,0,1,0,0,2,0 1,0,2,1,0,0,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,1,0,1,1,1,0,2,1,0,0,2,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,2,1,0,1,0,2,0,0,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,2,1,1,1,0,1,1,1,2,0,0,2,2,0,0,2,1,1,2,1,2,1,0,1,0,1,2,0,0,0,2,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,2,1,0,1,2,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,2,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,1,0,1,1,0,0,1,2,1,0,0,2,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,2,0,0,1,0,0,1,1,0,1,0,1,0,0,1,0,2,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,2,0,2,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,2,1,0,0,0,0,1,2,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,2,1,1,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,2,1,0,1,2,2,2,0,0,0,0,1,2,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,2,0,1,0,2,1,2,1,0,0,0,0,0,1,1,1,0,2,0,1,1,1,0,0,1,0,2,0,0,0,2,0,0,0,1,0,0,0,2,1,1,1,1,1,0,0,1,0,0,0,1,1,1,1,0,0,0,2,1,0,0,0,0,0,0,2,0,2,1,0,0,0,2,0,0,0,0,0,0,2,1,0,1,0,0,1,2,0,0,1,0,1,0,0,0,2,0,0,1,1,1,0,0,1,2,2,0,0,1,0,1,0,1,0,1,0,2,0,1,1,0,0,1,0,1,0,2,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0,1,2,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,2,1,0,0,0,1,0,2,0,1,1,2,1,1,0,2,0,1,1,0,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,2,1,1,1,2,0,1,0,2,0,0,0,0,0,1,2,0,0,1,1,1,0,0,1,0,2,1,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,2,0,1,0,0,0,0,1,0,0,1,0,1,1,1,2,0,0,0,1,0,0,0,2,1,0,1,0,2,1,1,0,0,0,1,0,0,1,0,0,0,2,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,2,0,1,2,0,2,0,0,0,1,2,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,2,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,2,2,0,0,0,1,1,0,0,0,2,0,0,0,1,0,2,1,1,1,0,0,1,0,1,0,2,2,0,0,0,2,0,0,1,0,1,0,0,0,2,0,1,0,1,0,1,1,0,2,1,0,0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,1,1,1,1,0,1,0,0,0,2,2,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0 0,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,1,2,1,0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,1,0,1,0,1,0,0,2,1,0,0,1,2,0,0,0,0,0,0,2,0,0,1,0,2,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,1,2,1,0,0,0,1,1,1,0,0,1,0,0,1,1,2,1,1,1,1,1,1,0,0,0,2,0,0,0,1,1,0,0,0,0,1,1,2,1,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,2,0,2,2,1,1,0,1,0,0,0,0,1,0,1,2,2,0,0,0,1,0,0,2,0,0,1,0,0,0,2,1,0,1,1,1,2,0,1,0,1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,2,0,0,0,0,1,1,1,2,1,0,0,1,0,1,0,0,0,1,2,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,1,1,2,1,0,1,0,0,0,0,0,2,0,0,0,2,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,0,1,0,0,0,2,1,0,0,1,2,0,2,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,2,0,0,0,0,1,1,0,0,0,1,1,1,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,2,0,0,2,0,0,0,0,1,0,0,1,1,1,1,1,2,1,0,0,0,1,1,1,0,0,0,0,2,1,0,0,1,1,0,0,1,0,0,0,1,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,2,1,0,1,0,2,0,0,0,0,0,0,1,0,1,0,2,1,0,0,1,0,0,0,1,0,0,2,0,1,0,1,0,0,0,1,0,0,1,1,0,2,0,0,0,0,1,0,0,1,1,1,1,1,1,0,0,2,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,1,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,2,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,2,0,1,2,2,2,1,1,1,0,2,0,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,2,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,1,1,2,0,0,0,2,0,0,0,0,0,2,0,1,1,0,0,0,1,0,2,0,1,0,1,0,2,0,2,1,1,0,1,1,1,0,1,0,0,0,0,0,1,1,1,1,1,0,0,2,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,2,0,0,1,1,0,0,2,1,2,0,0,0,1,0,0,0,1,0,1,0,1,0,1,1,0,2,0,1,1,0,1,0,0,0,0,1,0,0,0,0,2,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,1,0,2,0,0,2,1,1,0,1,1,2,1,1,0,0,0,0,1,2,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,2,0,1,0,0,0,1,1,1,1,1,0,0,0,1,1,1,0,0,1,0,1,1,1,2,0,0,1,0,0,0,1,2,0,1,2,1,0,1,0,1,0,0,0,1,1,0,0,2,2,1,0,0,0,0,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,0,1,1,1,0,0,2,0,0,1,0,0,1,0,0,0,0,2,0,0,1,0,1,0,0,2,0,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,2,0,0,0,0,0,0,0,0,1,0,1,1,0 0,0,1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,2,0,0,0,2,0,1,2,0,0,1,1,1,0,2,1,2,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,2,0,0,1,1,1,0,0,1,0,1,2,1,0,2,1,0,0,0,0,0,2,0,1,0,0,1,1,2,0,0,1,1,0,1,0,1,0,1,0,2,1,0,0,1,1,0,1,0,1,0,1,1,2,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,2,0,0,0,1,1,1,0,0,0,0,2,1,0,2,0,0,0,2,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,1,2,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,2,0,1,1,0,0,0,2,1,0,2,0,1,1,1,0,1,1,1,0,0,0,1,0,0,1,2,1,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,2,1,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,1,0,1,0,0,0,0,0,2,0,1,1,0,1,0,0,0,0,1,0,0,2,0,0,1,0,1,0,0,0,1,0,1,1,1,0,2,0,0,2,0,0,1,0,0,0,0,1,0,1,0,2,1,0,0,1,0,0,1,0,0,0,0,1,2,1,1,0,1,1,2,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,2,0,1,1,1,1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,2,0,0,0,1,0,0,0,1,1,1,1,1,2,1,0,0,1,0,0,0,0,1,0,2,0,0,1,0,0,1,0,0,0,1,2,0,0,0,0,0,1,0,0,1,0,1,2,0,1,0,2,0,1,0,1,0,0,1,0,1,0,0,0,1,2,2,0,1,0,1,0,0,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0,2,1,0,0,0,2,1,2,1,1,1,0,0,0,0,0,1,1,0,1,0,0,1,0,1,1,2,0,1,0,0,0,0,0,1,1,1,2,1,2,0,2,0,0,0,2,1,0,1,1,1,0,0,1,1,2,0,1,1,1,0,1,1,0,1,2,0,1,0,0,0,0,1,0,2,2,0,0,2,0,0,0,0,0,1,1,1,2,0,0,0,0,1,1,2,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,2,1,0,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,2,2,1,0,0,1,2,2,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,1,0,1,0,1,1,0,1,0,0,2,1,0,0,0,2,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,2,0,2,0,1,0,2,0,2,2,1,2,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,1,1,2,0,0,0,0,1,0,1,2,2,0,0,0,1,0,2,1,0,1,1,0,0,1,0,1,1,0,2,1,0,0,0,0,0,1,1,1,0,0,2,0,1,1,0,0,0,0,1,2,1,1,0,0,0,2,1,1,1,1,0,0,0,0,1,0,2,0,1,0,0,1,1,0,1,0,1,1,1,0,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,2,2,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,2,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0 2,0,1,1,0,1,0,0,0,2,1,0,0,1,0,1,0,1,1,0,0,0,1,0,2,1,1,1,1,1,0,0,2,1,0,1,1,2,0,0,0,1,1,0,0,0,0,2,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,2,0,0,1,1,0,0,1,0,1,2,0,0,2,0,0,0,0,0,0,0,0,1,1,1,1,0,0,2,0,1,1,0,0,1,2,1,0,1,1,0,0,1,0,0,0,1,2,0,0,0,0,2,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,2,1,2,0,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,2,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,1,1,2,0,0,0,0,0,0,0,0,0,0,2,1,1,1,0,2,0,1,2,0,0,0,1,1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,1,0,2,0,0,0,0,0,2,1,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,2,1,1,1,1,1,0,1,1,0,0,1,1,1,1,1,1,2,0,0,1,1,1,0,0,0,0,0,0,1,2,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,2,0,0,1,1,1,0,0,2,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,2,1,1,0,2,0,0,0,1,0,1,2,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,2,0,1,0,2,0,0,0,0,1,2,1,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,1,2,1,0,1,0,2,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,1,1,1,0,1,2,1,1,0,0,0,1,1,2,1,0,1,0,0,1,1,2,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,2,2,1,1,0,1,0,0,1,2,0,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,2,0,0,1,0,0,0,1,2,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,1,1,1,0,0,1,0,0,0,0,2,1,1,2,1,0,0,1,1,0,2,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,2,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,2,1,0,0,2,0,0,0,0,0,1,1,0,0,2,0,0,1,1,0,0,1,0,0,0,0,0,2,1,0,1,1,1,1,2,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,2,1,0,1,2,0,0,1,1,0,1,0,0,0,0,1,0,1,1,1,2,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,1,1,0,2,0,1,1,0,0,1,0,1,1,2,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,2,2,0,0,1,0,1,0,1,0,0,2,1,0,1,2,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,2,2,0,2,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,2,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,2,2,2,0,0,0,1,0,0,0,2,1,1,0,0,1,1,1,0,1,1,0,0,2,0,0,0,1,1,1,0,0,0,0,1,2,0,0,0 1,0,0,1,1,0,0,0,0,0,2,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,2,1,1,0,0,1,0,1,0,1,0,1,1,0,2,0,0,0,2,0,1,0,0,1,0,0,0,1,1,1,1,2,1,0,0,0,0,0,1,0,2,2,0,0,0,0,0,1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,2,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,2,0,1,0,0,1,1,1,1,1,0,0,0,2,0,0,1,1,1,0,0,0,1,1,1,0,0,2,0,1,1,0,0,0,2,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,2,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,1,0,1,1,2,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,1,1,0,2,1,0,1,1,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,1,2,2,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,2,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,2,0,1,1,0,0,0,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,2,1,1,0,0,0,1,0,0,0,0,1,0,1,0,1,1,2,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,2,1,1,1,1,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,1,1,2,1,1,1,1,0,2,1,0,1,0,2,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,2,1,0,0,0,0,1,0,2,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,2,1,0,0,1,0,1,0,0,1,0,2,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,1,1,1,1,1,1,0,1,1,2,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,2,0,0,0,1,0,1,1,0,1,1,0,0,1,2,1,1,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,2,0,0,1,0,2,1,0,0,2,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,2,0,1,0,0,1,0,0,0,2,2,0,0,0,1,2,0,1,0,0,1,0,2,0,0,2,1,1,2,0,0,1,0,0,0,1,2,2,2,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,2,1,0,1,0,1,0,0,0,1,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,0,2,1,1,1,0,0,0,0,1,0,2,0,0,1,0,0,1,0,0,0,0,1,1,0,2,1,1,0,1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,2,1,0,1,0,1,0,0,2,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,2,0,0,0,2,2,1,0,0,2,0,1,0,1,0,0,0,2,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,2,0,0,1,0,0,0,1,0,2,0,0,1,2,0,0,1,0,0,0,0,2,2,0,0,0,1,1,0,0,0,2,0,1,0,0,1,0,0,0,2,1,0,0,1,1,1,0,1,2,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,2,1,2,0,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,0 1,0,0,2,2,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,2,1,0,0,2,0,0,1,1,0,1,0,1,0,0,1,0,2,2,0,0,0,1,2,2,0,0,0,0,0,2,1,2,1,1,0,0,1,0,1,2,1,0,1,2,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,0,0,2,0,1,1,1,2,1,0,1,2,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,2,1,1,2,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0,2,0,1,0,0,0,1,1,0,0,2,1,0,0,0,0,0,1,0,2,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,0,2,0,2,0,1,1,0,0,2,0,1,1,0,2,0,2,1,1,0,0,2,0,0,0,0,0,1,1,1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,0,2,0,0,0,1,0,0,0,0,0,0,2,0,1,2,0,0,1,0,0,2,0,0,0,1,2,1,0,1,0,0,1,0,2,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,2,0,0,2,0,0,1,0,0,0,1,1,0,2,0,0,0,1,0,0,0,1,1,2,2,0,1,1,1,2,1,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,2,1,2,0,0,1,0,0,1,0,0,1,1,1,1,0,1,1,1,0,2,0,2,0,0,0,0,1,1,1,0,0,0,1,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,1,2,1,1,0,2,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,2,1,2,0,2,1,1,2,1,0,0,0,1,2,0,0,0,0,0,1,0,1,1,0,1,1,0,2,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,2,1,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,1,2,2,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,1,0,1,0,0,1,1,1,1,1,1,1,1,1,0,0,1,1,2,1,1,0,1,0,0,0,0,1,1,0,0,1,1,1,1,1,1,0,2,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0,1,2,0,2,1,0,0,0,2,0,1,0,1,0,0,1,0,0,0,0,2,0,1,1,0,0,0,0,0,2,0,1,1,1,0,2,0,1,0,0,2,0,0,0,0,1,1,0,1,0,0,0,0,0,2,1,0,0,0,0,0,1,1,0,1,1,0,2,0,1,2,0,2,0,2,1,0,1,0,0,0,1,2,2,2,2,0,1,1,0,0,1,0,0,0,1,1,1,0,0,2,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0,1,1,1,0,1,1,0,1,2,0,1,0,0,0,1,1,1,0,0,0,0,1,1,0,1,2,1,1,0,0,0,0,1,0,0,0,1,1,0,1,0,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,2,1,0,1,0,1,0,0,2,0,0,1,0,0,1,1,0,1,0,1,0,2,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0 2,0,0,2,0,0,2,1,0,0,1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,1,0,2,1,0,0,0,0,0,0,0,1,0,2,1,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,0,1,0,0,0,0,0,0,0,2,0,0,2,0,2,0,1,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,2,0,1,0,1,0,1,0,1,1,1,0,1,2,1,0,1,1,1,2,1,1,0,1,0,0,2,1,0,0,1,0,1,2,0,1,0,0,0,1,0,1,1,0,1,0,0,2,1,0,1,1,1,1,2,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0,1,2,1,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,2,1,0,1,0,0,1,1,0,1,0,2,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,2,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,2,1,0,0,0,0,1,0,1,1,0,1,0,0,0,0,2,1,0,0,0,2,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0,1,2,0,0,1,0,0,1,0,1,1,0,2,1,1,0,1,0,0,2,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,1,0,2,1,0,1,0,0,0,0,2,0,0,2,1,0,0,1,1,0,0,0,1,1,1,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,2,1,2,1,1,0,1,0,0,2,0,1,1,1,0,0,0,2,0,1,0,0,0,0,0,1,0,1,0,1,0,1,2,0,0,1,1,0,0,1,0,0,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,2,0,1,0,1,0,0,0,1,2,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,2,0,0,0,0,1,0,2,1,2,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,2,0,0,0,0,1,0,2,0,1,0,2,1,0,0,0,0,0,1,1,0,1,0,0,2,0,0,1,2,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,2,1,0,0,1,1,1,0,2,0,0,0,1,0,1,0,0,2,0,0,0,1,1,1,0,2,1,0,0,0,0,1,0,0,1,1,0,2,0,1,2,1,0,1,0,0,0,0,1,2,0,1,2,0,2,1,2,1,1,1,1,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,1,2,1,1,1,2,0,1,0,0,0,1,0,1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,1,2,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,2,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,2,0,1,0,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,2,1,0,2,0,0,0,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,1,2,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,2,1,1,0,0,0,0,1,1,1,0,1,1,1,1,1,1,2,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0 0,0,1,0,0,0,0,2,1,1,2,1,0,0,2,0,0,2,0,0,0,1,0,1,1,0,0,1,0,0,2,0,1,1,0,0,0,1,0,0,0,1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0,2,0,0,1,1,2,1,0,0,0,1,0,1,1,0,0,2,1,1,0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,1,0,0,2,0,1,0,0,0,1,1,2,0,0,2,1,0,1,1,1,0,0,0,1,0,1,1,0,0,2,1,0,0,0,1,1,0,0,0,0,0,2,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,2,0,1,2,0,1,1,0,0,1,0,0,1,0,0,2,0,1,0,0,1,0,0,1,0,1,1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0,2,0,1,1,2,0,0,0,0,1,1,0,1,0,1,0,1,1,0,1,1,1,0,1,2,0,2,1,0,0,2,1,2,0,2,0,1,0,0,1,0,2,1,0,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,2,1,0,0,1,1,0,2,0,0,1,0,1,0,0,1,0,0,2,0,0,1,1,0,1,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,2,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0,2,1,0,0,0,0,1,1,0,2,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,2,1,0,0,0,1,0,0,2,0,2,2,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,2,1,1,1,2,1,1,1,0,2,0,1,1,0,0,0,2,1,0,0,1,0,0,0,1,1,0,0,1,0,2,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,0,2,1,0,1,1,0,0,1,0,2,1,0,0,0,1,0,0,0,1,0,1,0,0,2,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,2,2,0,1,0,1,0,1,2,0,0,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0,2,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,2,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,2,1,0,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,2,0,2,1,0,1,0,0,0,0,1,2,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,2,0,0,2,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,2,0,2,1,0,0,0,0,0,2,1,1,0,0,0,0,0,1,1,1,1,1,1,1,1,1,0,1,2,1,1,1,0,0,1,0,2,0,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,2,1,1,2,0,1,1,2,0,0,0,1,1,0,0,1,0,1,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,2,1,0,0,1,0,1,0,0,2,0,0,0,0,1,0,0,0,0,1,0,2,0,0,2,0,1,1,2,0,0,0,0,1,1,0,1,0,2,2,1,1,0,0,1,1,2,1,0,2,0,1,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,2,1,2,0,0,1,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,2,2,0,0,0,2,0,0,0,1,0,1,1,2,1,0,0,0,1,1,0,1,0,0,0,0,0,1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,2,1,0,0,1,1,0,1,1,0,0,1,1,0,2,0,0,0,0,2,0,1,2,0,2,1,1,1,0,1,2,0,1,0,0,0,0,0,1,1,1,0,0,0 1,0,1,0,0,0,0,0,0,2,1,1,0,1,2,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,2,2,1,0,2,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,2,0,1,1,0,2,0,2,0,1,1,1,0,0,0,0,0,0,0,0,1,1,2,1,1,1,0,1,1,0,0,2,1,0,0,1,0,2,1,2,0,2,0,0,0,1,0,1,1,0,1,0,1,0,2,1,1,1,0,1,0,0,0,0,1,2,0,1,1,0,0,0,0,0,0,1,1,2,0,0,0,0,1,0,0,0,0,2,1,0,1,1,2,0,0,0,0,2,0,1,1,1,0,1,0,0,2,1,0,0,1,1,0,0,0,1,1,0,0,2,0,1,0,1,1,1,2,1,2,0,2,0,0,0,1,0,1,0,2,1,0,0,0,0,0,0,1,0,0,1,2,0,1,1,0,1,1,0,0,0,0,0,1,0,0,2,2,0,0,0,2,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,2,0,2,0,0,0,0,0,1,1,0,0,0,1,1,2,0,0,1,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,0,1,1,1,1,1,1,2,0,1,0,0,0,0,0,0,0,1,0,1,1,0,2,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,1,2,0,0,0,0,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,2,0,1,1,1,1,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,2,0,2,0,0,0,0,0,0,2,2,0,1,1,0,2,0,0,2,0,1,1,0,0,1,2,2,1,1,1,0,1,0,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,2,1,0,0,0,1,1,2,0,0,1,2,0,0,0,0,2,0,2,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,2,2,1,0,0,2,2,0,1,1,0,1,0,0,2,1,0,0,0,0,1,1,0,0,1,1,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,1,1,0,0,2,0,0,1,0,0,2,0,0,0,2,1,0,1,0,1,0,2,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,2,1,0,1,1,1,1,1,1,1,1,0,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,0,1,2,0,2,0,0,1,2,0,2,0,1,0,0,1,2,0,2,0,0,0,0,1,1,1,0,0,0,2,0,1,2,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,2,1,0,1,1,0,1,0,0,1,0,0,1,1,2,1,1,2,2,0,0,0,0,0,0,0,0,2,1,0,0,0,0,2,1,0,0,1,0,0,2,0,0,0,0,0,1,2,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,1,2,1,1,0,0,0,0,2,0,0,0,1,1,0,0,1,0,1,0,1,1,1,1,1,1,1,0,0,2,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0,2,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,2,2,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0 2,0,0,2,1,2,0,0,0,1,1,1,0,2,2,1,0,1,0,0,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,2,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,1,2,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,1,2,1,2,0,0,1,1,0,1,0,2,2,0,0,1,1,1,0,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,1,1,1,1,0,2,1,0,2,1,1,1,0,2,1,1,2,0,1,0,0,0,0,0,0,1,1,0,2,0,1,1,0,0,2,0,2,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,2,1,0,1,0,1,1,1,2,0,0,0,0,0,0,1,0,1,1,1,0,2,2,1,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,1,0,1,0,0,2,1,0,0,2,0,1,0,0,0,0,1,1,2,1,1,0,0,0,0,0,2,1,0,0,0,1,0,1,0,1,0,0,1,2,1,1,2,1,0,0,2,2,0,0,1,2,1,1,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,1,2,2,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,1,0,1,2,0,1,1,2,1,0,0,2,1,0,1,1,0,0,2,0,0,0,0,2,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0,2,1,1,2,0,1,1,0,0,0,1,0,2,0,1,0,1,2,0,1,0,1,0,0,0,1,1,1,1,0,0,1,0,1,2,2,0,0,0,0,2,0,0,1,1,0,1,0,1,1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,2,0,1,1,0,1,1,0,0,0,2,0,1,1,0,1,0,0,1,1,0,1,0,0,0,2,2,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,2,0,0,0,0,1,0,0,0,0,2,2,2,0,1,0,0,0,1,1,1,1,0,0,0,2,1,0,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,1,1,0,2,1,0,0,1,0,1,2,2,0,1,1,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,2,1,1,0,0,1,0,0,1,0,0,0,0,2,1,1,0,0,0,1,1,0,2,1,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,2,1,1,0,2,0,0,2,1,2,0,1,0,1,0,2,2,1,1,1,0,2,0,0,0,1,1,1,0,2,0,2,0,0,1,0,0,0,0,0,1,1,0,0,2,0,0,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,1,2,1,0,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,2,0,1,1,1,0,0,2,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,1,1,0,1,2,0,0,1,0,1,0,1,1,1,1,2,0,0,0,1,0,0,1,2,0,1,0,0,0,0,2,1,0,0,1,0,0,2,0,2,1,2,2,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,2,1,0,0,1,1,0,1,0,0,0,1,0,2,1,1,0,0,2,1,0,0,2,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,1,2,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,1,2,0,0,0,0,0,2,0,0,1,0,0,0,1,0,1,1,0,0,0,1,2,0,0,0,1,0,0,0,0,0,2,1,0,0,0 0,0,1,0,0,0,1,1,0,2,2,1,1,0,1,0,0,2,1,0,0,0,0,2,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,2,0,1,0,0,1,1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,2,0,0,0,0,2,0,1,1,0,1,0,1,0,0,0,0,0,1,1,2,0,2,1,0,0,1,2,0,0,0,1,0,0,0,0,0,0,1,1,2,1,0,0,1,1,1,0,0,0,0,1,2,1,1,0,1,2,0,0,0,0,1,0,0,1,0,0,2,0,0,1,0,0,1,0,0,0,0,2,1,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,1,1,2,0,0,1,0,0,1,1,2,0,0,0,0,0,0,0,0,0,1,0,1,1,1,1,0,0,2,1,1,0,1,2,1,1,0,0,2,1,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,1,1,0,0,1,1,2,0,0,0,1,0,1,2,0,0,1,1,0,0,0,1,0,2,1,0,1,0,0,0,1,1,1,0,0,0,0,2,1,0,0,1,1,1,0,1,1,0,2,0,0,0,2,2,0,0,0,1,1,1,0,1,0,1,0,2,0,0,0,1,2,0,0,0,0,2,2,0,0,0,2,1,1,0,0,0,0,0,1,0,1,0,0,1,1,1,1,0,0,0,1,1,2,0,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0,2,1,1,0,0,0,0,1,0,2,1,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,1,2,1,1,0,0,2,2,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,2,1,0,0,1,2,1,2,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0,2,0,1,0,1,0,2,1,0,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,2,1,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,0,1,1,2,0,2,1,0,0,0,0,0,1,0,1,1,0,2,0,1,1,1,1,0,1,0,0,0,2,1,1,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,1,0,0,2,0,0,2,0,0,0,1,0,1,2,0,1,1,0,1,0,2,0,0,2,0,0,2,0,2,1,0,2,0,0,1,0,0,1,0,1,0,1,2,0,0,0,0,1,0,1,1,0,2,0,0,0,1,0,0,0,0,0,0,1,1,2,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,2,1,1,0,0,0,0,0,1,0,0,0,0,1,0,2,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,2,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,2,1,0,1,1,0,0,0,1,0,2,2,1,0,0,2,1,1,0,0,0,2,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,2,1,0,1,0,1,1,0,0,1,0,2,2,2,1,1,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,2,0,1,1,0,1,1,0,2,0,0,0,0,1,1,0,2,0,1,1,2,0,0,0,1,0,0,0,1,0,0,1,1,1,2,1,1,0,0,1,0,0,0,0,0,0,0,2,1,1,0,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,2,0,0,0,2,1,0,1,0,0,1,1,1,0,2,0,1,0,0,1,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,1,1,1,1,1,0,2,2,1,2,0,1,1,0,1,1,2,1,1,0,0,0,1,0,1,0,0,0,0 0,0,1,1,1,0,2,0,1,1,2,1,0,1,0,0,0,1,2,0,0,0,0,0,0,0,1,2,1,1,1,0,0,0,0,1,0,0,2,1,1,2,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,2,1,0,0,2,0,0,0,0,0,1,2,0,0,0,1,1,1,2,0,0,1,1,2,0,1,0,0,2,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,1,2,0,0,1,0,0,2,1,0,0,0,2,2,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0,1,2,0,0,0,1,0,1,0,0,2,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,1,2,1,1,1,1,1,0,1,1,0,0,0,2,0,1,0,0,0,0,1,0,1,2,0,1,1,1,0,1,1,2,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,2,1,1,1,2,1,0,0,2,1,0,0,0,1,0,0,1,0,0,0,1,1,1,2,2,2,2,0,0,1,0,2,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,2,0,0,0,1,0,0,0,0,2,0,0,0,1,1,1,0,0,0,0,2,1,0,1,2,0,1,1,0,1,0,0,1,1,2,0,1,0,0,1,1,1,0,0,1,1,1,1,1,0,2,0,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,2,0,1,2,0,0,0,1,0,0,0,0,0,1,0,1,1,1,2,0,1,0,1,2,2,1,1,0,1,1,0,0,1,2,1,0,0,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,1,0,2,0,0,0,0,0,0,0,1,1,0,2,0,0,0,1,0,1,2,0,0,0,2,0,0,0,1,1,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,2,2,0,1,0,1,0,0,1,0,0,2,2,0,1,0,1,0,0,0,1,1,2,1,0,0,0,0,0,1,1,1,1,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,2,0,0,0,1,0,0,0,1,2,2,0,1,1,0,0,2,1,1,1,2,0,0,0,0,2,0,0,0,1,0,2,0,0,0,0,0,0,0,2,0,0,1,1,0,0,2,1,1,0,1,1,0,1,0,1,0,0,1,1,1,0,1,0,2,2,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,2,0,1,0,0,1,0,1,0,0,0,1,0,1,2,1,2,0,0,0,2,0,1,0,1,1,1,0,0,0,1,2,0,0,0,0,0,2,0,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,2,1,0,1,0,0,1,0,1,0,1,0,0,0,2,1,1,0,1,0,0,1,0,1,0,1,1,2,0,0,0,0,2,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,1,1,0,2,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,2,0,0,0,0,2,0,0,2,1,1,0,0,0,1,1,1,1,2,0,0,2,1,1,0,0,0,0,1,1,1,0,1,0,0,0,1,2,0,1,0,0,1,0,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,2,1,0,0,0,0,0,0,1,0,0,1,0,0,2,0,1,2,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0 2,0,2,1,0,0,0,0,0,1,1,0,0,1,1,1,0,0,2,0,0,1,0,0,0,1,0,1,0,1,1,0,2,0,1,0,2,0,0,0,1,0,1,0,1,1,0,2,1,1,1,0,1,0,1,0,1,0,2,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,2,0,1,2,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,2,0,0,1,0,0,1,0,0,0,1,0,2,0,1,1,0,0,0,1,0,1,1,0,0,0,0,2,1,0,1,0,1,2,1,1,1,0,2,0,1,0,0,2,0,1,0,0,0,0,1,1,1,0,1,1,0,2,0,0,0,0,0,0,1,1,0,0,1,0,1,2,0,0,1,0,1,1,1,1,0,1,1,0,1,0,2,1,1,0,0,2,0,1,1,1,1,0,1,0,1,1,0,0,1,0,0,2,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,1,2,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,1,2,0,0,1,0,0,0,1,0,0,1,0,1,0,0,2,0,1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0,2,0,1,1,0,0,0,0,2,1,2,0,0,0,0,1,0,0,1,0,0,0,1,1,2,0,0,0,0,1,1,0,1,0,1,0,0,2,0,0,1,0,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,1,2,1,2,0,0,1,2,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0,1,1,2,2,0,0,0,0,2,1,1,1,0,2,0,1,0,0,0,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,2,0,1,0,1,0,0,0,0,1,0,2,0,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,1,1,2,0,1,0,0,1,1,0,0,0,1,2,0,0,0,0,0,2,1,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,2,1,1,1,1,1,2,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,2,1,1,0,0,0,2,0,2,0,0,0,0,0,1,1,1,0,0,2,1,0,0,1,0,1,2,0,0,0,1,0,1,0,1,1,1,0,1,2,0,1,1,2,0,2,0,1,1,1,1,1,0,2,0,1,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,2,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,2,0,0,0,1,1,0,1,2,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,2,1,0,1,1,1,2,0,1,0,0,0,0,0,0,1,2,0,0,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,2,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0,1,1,2,1,2,1,0,0,0,1,1,0,2,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,1,2,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,2,0,0,2,0,0,0,0,0,0,1,1,0,2,1,2,1,2,2,1,2,1,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,2,2,1,0,0,0,1,0,0,1,0,1,0,1,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,2,2,1,0,0,0,0,1,2,0,0,0,0,0,0,1,0,0,1,1,0,0,0,2,2,1,0,0,0,0,0,0,2,0,0,1,1,1,0,2,1,2,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0 0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,1,1,2,0,0,0,0,1,0,1,1,1,2,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,1,1,0,2,2,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,1,1,1,1,0,0,1,0,1,2,0,0,0,0,1,0,0,0,1,0,0,0,1,2,0,0,0,1,1,0,0,0,0,1,0,2,1,0,2,0,0,1,1,0,1,2,0,1,1,1,1,1,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,2,0,1,0,0,1,2,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,2,0,0,1,1,0,0,0,1,1,0,1,0,0,0,2,1,1,0,0,0,0,1,1,0,1,0,0,0,0,2,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,2,0,0,0,0,1,2,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,2,0,0,1,0,0,0,0,1,2,0,0,1,1,0,1,1,1,0,2,0,0,1,0,0,0,0,0,1,1,0,1,0,2,2,1,0,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0,1,0,2,0,0,0,1,1,0,2,1,0,0,0,1,2,1,0,0,0,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1,2,1,2,0,1,1,1,1,2,0,0,0,0,2,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,1,1,1,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0,0,1,2,0,0,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,1,2,0,0,1,0,2,0,1,1,0,1,1,1,0,0,1,2,0,1,2,0,1,0,0,0,0,0,1,1,2,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,1,2,1,1,1,0,0,0,0,0,0,0,0,0,2,0,1,2,0,1,0,1,1,1,1,1,1,0,1,1,0,2,0,0,2,2,0,0,1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,1,2,1,0,0,1,0,0,1,0,0,0,2,0,0,0,0,1,1,0,1,0,0,0,1,2,0,0,1,0,0,1,2,0,1,0,1,0,0,2,0,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,2,2,1,0,1,0,1,2,0,2,1,0,2,0,0,1,2,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,2,1,0,0,1,0,1,0,0,0,0,1,2,1,0,0,0,1,1,0,0,0,0,2,1,1,0,0,1,2,1,0,0,0,0,0,0,0,1,1,2,1,0,0,0,0,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,1,0,1,2,2,2,1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,2,2,0,2,1,1,0,0,0,0,0,1,0,2,1,0,0,0,1,1,2,1,0,2,1,2,1,2,1,0,0,0,0,2,0,1,2,2,2,2,1,0,0,1,1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,1,0,1,2,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,2,0,0,0,1,0,1,1,0,0,0,0,1,0,0,2,0,0,1,1,1,0 2,0,0,1,1,0,0,2,0,2,1,0,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,2,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,1,1,0,1,2,0,2,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,2,0,0,0,1,2,0,0,1,0,1,0,1,0,1,2,0,0,0,1,0,0,1,1,0,0,0,1,0,2,0,2,1,2,1,1,2,1,0,0,1,0,1,1,2,1,1,0,0,0,0,2,1,0,1,0,1,1,1,2,1,0,0,1,2,0,1,0,0,1,0,1,0,0,2,2,0,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,2,0,1,0,2,2,2,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,2,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,2,0,0,1,1,2,0,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,2,0,1,1,1,0,1,2,1,0,0,1,0,0,0,2,0,0,0,0,2,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,2,0,0,2,0,0,0,0,0,1,2,0,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,1,1,1,1,0,1,2,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,2,0,1,1,0,1,1,0,0,0,0,2,2,0,2,1,0,1,0,1,2,0,1,0,1,1,0,0,2,0,1,0,1,0,0,1,1,1,0,0,1,0,1,2,0,0,0,1,0,1,0,2,0,0,0,1,1,2,0,0,1,0,0,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,2,2,0,0,1,0,1,1,0,1,0,1,0,1,0,0,2,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,2,0,0,1,0,1,0,1,0,1,0,0,1,2,0,1,0,2,0,0,2,0,1,2,1,0,0,2,1,1,0,1,0,0,0,2,1,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,1,1,1,1,2,0,0,0,0,0,1,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,2,1,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0,2,0,0,0,2,0,1,0,2,2,1,0,0,0,0,1,0,0,2,0,0,2,0,0,1,1,1,1,0,2,1,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,2,1,0,0,2,0,1,0,0,1,1,0,0,0,1,1,2,1,0,1,2,1,1,2,0,0,0,1,0,0,1,0,1,2,2,0,0,1,1,0,1,0,0,0,2,0,1,0,0,1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0,1,2,2,1,1,1,0,1,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,1,1,0,0,2,0,0,1,1,0,0,0,0,0,0,1,0,1,1,2,0,1,1,1,0,0,0,0,1,1,0,2,1,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,2,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,2,1,1,0,1,0,2,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0,1,1,0 1,0,1,1,1,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,1,1,0,0,1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,1,1,1,1,2,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,2,2,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,2,2,0,2,0,0,0,1,1,1,2,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,2,0,0,2,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,1,0,2,0,1,0,1,0,1,0,1,2,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,0,1,1,1,0,0,1,1,0,1,1,0,2,1,0,0,1,0,1,1,1,0,0,0,2,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,1,1,1,1,0,0,0,2,0,0,0,0,0,2,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,2,0,0,1,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,1,1,1,1,1,0,0,2,0,0,2,0,1,0,1,0,0,2,0,0,0,0,1,0,0,0,0,1,2,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,1,2,2,0,1,0,0,0,0,0,1,0,1,1,0,1,1,0,2,0,1,2,0,0,1,1,2,0,0,2,0,1,0,0,0,0,2,1,0,0,0,0,2,0,1,2,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,2,1,0,0,0,0,2,1,0,1,0,0,1,0,1,0,0,0,1,1,0,2,0,1,1,2,0,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,1,1,2,0,0,0,0,0,1,0,1,1,1,0,0,0,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,2,1,0,1,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,0,1,0,0,0,2,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,2,0,1,0,1,0,2,1,0,1,2,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,2,0,0,0,2,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,2,2,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,2,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,1,0,2,1,0,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,2,0,0,2,0,0,2,0,1,0,2,1,0,0,0,1,0,0,1,2,2,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,2,1,0,0,0,0,2,0,0,1,1,1,1,0,0,1,0,0,1,2,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0,0,1,2,0,0,1,2,0,1,2,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,2,0,1,0,1,0,0,1,1,1,1,0,0,1,2,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,1,2,0,0,0,2,1,0,1,0,2,2,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,1,2,0,0,0,2,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,2,1,1,0,0 1,0,1,1,0,0,0,1,2,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,1,1,1,0,0,1,0,2,0,1,0,1,1,0,1,1,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,2,1,0,1,2,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,2,0,1,1,0,0,0,1,1,0,1,0,0,2,1,1,1,2,0,0,0,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0,2,0,1,1,0,1,1,0,0,1,0,1,1,0,0,2,0,1,0,0,1,0,0,0,1,1,0,1,2,0,1,0,1,0,0,0,0,0,1,0,1,1,2,1,0,1,2,0,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0,2,1,1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,1,2,1,0,1,0,0,2,0,0,0,2,2,0,0,1,0,0,1,1,0,0,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0,2,0,1,0,2,0,0,0,0,0,0,0,1,2,1,2,1,1,0,2,0,0,0,0,1,2,1,0,0,0,2,1,1,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0,1,2,2,0,1,0,0,0,1,2,1,1,0,1,1,0,0,0,0,2,1,1,0,0,0,1,0,1,0,1,2,0,0,0,0,2,0,0,0,0,1,2,0,0,2,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,1,2,0,2,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,2,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,2,0,1,0,1,1,0,0,1,1,1,0,1,0,0,1,1,1,2,0,1,1,0,2,0,1,0,2,0,0,0,1,2,1,0,1,1,0,0,0,2,2,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,2,1,0,0,0,2,0,0,2,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,1,0,0,2,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,1,0,2,2,0,0,1,2,1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,2,0,0,0,2,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,2,0,0,1,0,0,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,2,0,1,0,0,0,1,1,1,0,1,1,2,0,2,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,2,0,2,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,1,0,1,0,1,0,0,0,1,2,1,1,0,0,0,1,1,2,0,0,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,2,0,2,1,2,0,1,0,0,0,1,1,0,0,1,0,2,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,2,0,0,0,1,1,1,2,1,0,2,0,0,0,0,1,0,0,1,2,0,1,2,0,0,0,1,1,0,0,0,0,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,2,0,0,2,1,0,0,1,2,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,1,1,2,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0 0,0,1,2,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,2,2,0,0,0,2,0,1,0,0,0,1,0,0,0,2,2,1,0,0,0,0,2,0,2,1,0,2,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,1,1,0,2,0,2,0,0,1,0,1,0,0,0,0,0,2,0,1,0,2,0,0,2,2,0,1,1,1,0,0,0,2,1,0,0,0,0,2,0,0,1,0,2,1,2,0,0,1,1,2,1,0,1,0,2,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,2,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,1,2,0,1,0,0,1,1,0,2,2,0,0,0,1,0,2,1,1,2,0,1,0,1,2,1,0,0,1,0,2,0,2,0,2,1,1,0,0,2,0,1,1,0,0,0,1,1,1,2,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,2,0,0,1,0,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,0,0,0,0,2,0,0,0,1,0,0,2,1,0,0,0,0,1,0,0,0,2,1,1,1,0,0,0,0,0,2,0,2,0,0,0,0,0,1,0,1,0,1,0,2,2,1,0,0,0,1,2,2,0,1,0,0,0,0,2,1,0,2,1,0,0,1,0,0,1,0,2,1,0,2,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,2,1,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,1,0,1,1,1,0,2,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,2,0,1,1,0,0,0,0,1,1,0,0,0,0,0,2,2,0,0,0,0,0,2,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,1,0,1,2,0,1,0,0,1,2,1,0,1,0,1,0,0,2,0,0,0,2,0,1,2,1,0,1,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,2,0,1,0,0,1,0,0,1,0,1,0,1,0,2,2,1,1,1,1,2,0,0,0,2,0,1,0,0,1,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,2,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,2,1,2,2,1,0,0,0,0,1,1,0,1,2,1,1,0,1,1,1,0,2,0,1,1,1,0,2,1,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,2,1,0,2,1,0,0,0,1,0,0,0,0,2,2,1,0,1,1,1,1,1,1,2,0,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,2,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,2,0,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,2,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,1,0,1,1,1,0,2,1,1,0,0,0,1,1,1,2,1,0,1,0,1,1,0,2,2,0,0,0,1,0,1,1,0,1,1,1,1,0,1,1,0,0,0,2,0,1,1,1,2,0,1,0,1,0,1,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,2,0,1,0,1,0,0,2,0,0,0,2,2,2,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,1,0,1,1,1,1,1,0,1,0,0,1,0,0,2,0,1,0,2,0,1,0,1,1,0,2,0,1,0,1,1,0,0,0,1,0,1,1,1,1,0 1,0,1,0,1,0,1,0,0,1,2,1,0,2,0,2,0,0,1,0,0,0,1,0,0,0,1,1,0,0,2,0,0,1,1,0,1,1,1,0,1,2,0,0,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,0,0,0,0,2,2,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,1,2,1,0,0,0,2,1,0,0,1,1,2,0,2,1,2,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0,2,1,0,0,0,1,0,0,2,0,2,1,0,1,0,0,1,0,1,0,1,0,1,1,2,0,1,0,2,1,0,0,2,0,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,2,1,0,0,0,0,1,2,1,0,0,0,0,1,0,1,1,1,0,1,1,0,2,0,0,0,1,2,0,1,1,1,0,2,0,0,0,1,0,1,0,0,1,0,1,1,0,1,0,2,0,0,0,1,0,0,0,2,1,0,0,2,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,2,0,0,0,1,1,1,0,0,2,1,0,1,1,0,0,2,0,0,1,1,0,1,1,0,1,2,1,0,0,0,2,0,0,0,1,0,0,0,2,0,0,1,1,0,0,0,2,0,1,0,0,0,1,1,0,2,0,0,0,0,2,0,0,0,1,0,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,2,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,2,1,0,0,1,0,1,0,1,2,0,2,0,0,0,0,1,1,0,0,1,0,0,0,1,0,2,0,1,0,1,0,1,1,1,0,0,1,0,1,1,0,2,1,1,0,0,1,0,1,0,0,2,0,1,0,1,0,0,0,1,0,0,0,0,0,2,0,1,0,1,0,0,1,1,1,1,0,1,0,1,0,2,0,1,1,0,0,0,0,0,2,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,0,1,1,1,0,0,2,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0,2,0,0,0,0,0,1,1,2,0,1,1,2,1,0,0,1,1,1,0,2,0,0,0,0,1,0,1,0,0,0,2,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,2,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,1,1,1,2,0,0,1,2,2,0,1,0,0,1,0,2,1,0,0,1,0,0,1,1,2,2,2,1,1,0,1,2,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,2,1,1,1,0,1,1,0,0,0,0,2,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,2,1,1,0,0,1,0,2,1,1,0,0,1,1,1,1,0,1,1,1,0,0,1,0,1,1,1,2,2,0,1,1,0,0,0,1,1,1,1,1,1,0,0,1,2,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,2,1,0,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,1,1,0,1,1,0,0,2,0,0,0,1,0,1,1,1,0,2,1,1,0,0,2,0,0,1,0,1,1,1,1,0,1,0,1,1,1,2,1,0,0,2,2,0,0,0,0,1,0,0,0,1,0,0,0,1,2,1,1,0,1,0,0,1,2,2,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,2,0,0,1,0,1,1,0,0,1,0,0,0,1,0,2,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0 2,0,2,2,0,0,0,0,0,1,2,1,0,0,0,1,1,0,0,0,0,0,1,0,2,1,1,0,0,1,1,0,0,2,0,0,1,1,0,0,2,2,1,1,0,1,0,1,1,0,1,0,0,0,0,0,1,1,2,1,1,0,1,0,0,0,0,1,0,0,2,2,1,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,1,2,0,2,1,1,1,0,1,0,2,0,0,1,1,2,0,0,0,0,2,1,1,1,0,1,1,1,1,0,2,0,1,1,0,1,1,0,1,0,1,0,0,2,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,2,0,0,0,2,0,0,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,2,1,1,0,0,0,0,1,1,0,1,1,0,2,0,0,1,0,1,0,0,0,1,2,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,2,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1,1,1,2,1,0,0,0,0,0,1,1,1,0,0,1,2,1,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,2,0,1,0,1,0,2,0,2,2,0,0,1,0,0,2,1,1,0,2,0,1,2,1,0,1,0,0,1,1,2,0,0,0,0,0,1,2,1,1,2,0,0,2,0,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,2,1,0,0,0,0,1,0,1,1,1,1,0,0,1,0,0,2,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,1,1,1,0,0,1,1,1,2,0,0,0,0,2,0,2,1,2,0,0,0,1,0,1,0,2,1,0,0,0,1,1,2,0,1,1,0,2,1,0,1,0,0,2,0,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,1,1,1,1,1,0,1,0,0,1,2,2,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,2,1,1,2,1,1,0,0,0,0,2,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,2,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,0,1,1,0,1,0,0,1,1,1,1,1,0,1,1,0,0,2,2,0,0,1,1,2,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,2,1,0,1,0,2,1,2,2,1,0,1,0,1,0,1,1,0,1,1,2,0,1,0,1,1,1,0,0,0,0,2,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,2,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,2,0,1,0,1,1,0,1,0,0,1,1,0,2,0,1,1,2,0,1,0,1,0,1,0,1,0,2,1,0,0,0,0,2,0,0,1,0,0,0,0,1,1,0,1,2,0,0,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,2,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,2,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,2,2,1,1,1,0,1,0,1,0,0,0,0,2,0,0,1,0,0,1,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,1,0,1,0,0,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,1,1,0,1,1,1,2,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,2,1,0,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0 1,0,2,2,2,1,0,0,1,0,1,0,0,0,1,1,0,1,0,0,0,1,2,0,2,1,2,1,0,0,0,0,1,1,0,0,1,2,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,0,2,0,2,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,2,1,1,0,2,1,1,1,0,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,1,2,0,1,1,0,0,1,0,0,1,2,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,2,1,1,1,0,0,2,0,0,1,0,1,1,2,0,0,1,0,0,0,0,1,1,0,1,1,1,1,0,2,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,2,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,2,1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0,2,1,0,1,0,0,1,1,0,0,1,1,1,2,2,0,2,0,0,1,1,0,0,0,0,0,1,2,0,1,0,1,0,1,1,1,1,0,0,0,0,2,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0,1,2,2,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,1,1,0,1,1,2,2,1,2,1,0,1,0,0,1,0,0,0,1,0,1,1,2,0,0,1,0,0,0,1,1,2,0,0,0,0,1,1,0,0,1,0,2,1,2,1,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,2,1,1,1,0,0,1,0,0,0,1,1,0,0,1,2,1,2,1,0,1,0,0,0,0,0,1,0,1,1,1,0,1,1,2,1,2,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,2,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,2,2,0,1,1,0,0,1,2,0,1,0,1,0,0,1,2,0,0,0,0,0,2,0,0,1,1,2,2,0,2,1,0,1,0,0,2,1,0,1,0,0,0,1,2,1,1,1,0,1,0,1,0,1,0,2,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,1,2,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,1,1,2,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,2,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,1,1,0,2,1,1,0,1,1,1,0,1,1,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,2,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,2,0,2,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,2,0,0,1,0,0,2,1,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,2,1,1,2,0,1,2,0,0,0,0,0,0,0,2,2,2,2,2,0,1,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0,2,0,1,0,0,0,1,0,0,1,2,0,2,1,0,0,1,0,1,2,0,1,1,0,0,0,1,1,1,1,0,1,0,2,1,0,2,0,0,1,0,0,0,0,2,0,2,1,2,0,2,1,1,0,0,0,0,0,0,0,2,1,1,0,0,0,0,1,1,0,1,1,0,0,2,1,0,1,1,0,0,0,0,2,2,0,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,2,0,0,1,0,1,0,0,1,2,0,0,0,1,0,1,0,2,1,1,1,1,0,0,1,0,0,1,0,0,2,0,1,0,2,2,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0 0,0,1,2,0,1,2,1,1,0,0,0,0,0,2,0,0,1,0,0,0,2,0,0,0,1,1,1,0,0,1,0,1,2,0,0,2,1,0,0,1,0,2,2,1,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,2,0,1,0,0,1,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,1,2,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,0,0,0,2,1,0,1,2,0,1,1,1,0,0,2,0,1,0,2,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,0,2,0,1,0,0,1,1,2,1,0,1,1,0,0,2,0,0,1,1,0,0,1,2,0,0,0,0,0,2,1,0,0,0,0,0,2,1,0,1,0,1,1,2,0,2,0,1,1,1,0,0,1,0,2,1,0,0,0,0,1,0,2,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,2,0,1,0,0,1,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,2,0,2,0,0,0,0,1,1,1,1,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,2,2,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,2,0,1,2,2,0,1,1,0,0,2,0,1,0,2,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,1,0,1,2,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,0,1,1,0,2,0,0,1,0,0,2,1,0,0,0,1,2,0,0,0,0,2,0,0,2,0,0,0,0,1,1,2,2,1,1,0,1,1,0,2,1,0,1,1,1,1,1,0,0,0,1,2,1,1,2,2,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,2,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,2,0,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,0,2,2,0,0,1,0,1,2,0,0,0,1,1,2,1,0,0,0,2,0,0,1,1,0,2,2,0,1,1,0,2,0,1,0,0,0,1,0,0,1,2,0,0,0,0,2,1,0,0,1,0,0,0,1,1,0,2,0,1,0,0,1,0,0,0,1,1,2,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,2,2,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,2,1,2,1,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,2,1,1,0,0,0,1,0,1,0,0,2,1,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,1,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,2,0,0,0,1,0,2,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,2,1,2,2,0,0,0,0,2,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,1,0,1,0,0,1,1,0,1,0,0,0,2,0,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,2,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0 1,0,2,1,0,0,1,0,0,2,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,2,1,1,1,0,1,2,1,0,2,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0,1,1,1,1,0,1,0,0,0,1,1,0,0,2,1,1,2,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,2,1,0,0,0,2,0,0,2,0,2,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,2,0,2,1,2,0,0,0,0,0,0,0,1,2,0,1,2,0,0,0,1,1,1,0,0,0,2,1,1,0,1,1,0,1,0,0,2,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,2,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,1,1,0,2,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,1,0,1,2,0,0,1,0,0,0,0,1,0,1,1,0,0,0,1,2,1,1,0,1,2,1,2,0,0,0,1,1,0,0,1,1,1,0,0,0,0,1,2,1,1,1,1,0,0,0,1,1,2,0,0,0,1,0,1,0,0,0,0,0,2,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,2,1,0,1,1,0,0,2,0,0,0,1,2,0,1,0,0,1,0,0,0,0,0,1,0,0,2,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,2,0,1,1,2,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,2,1,0,1,0,1,1,0,2,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,1,1,2,1,1,0,1,1,1,0,1,0,2,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,2,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,2,0,1,0,1,1,2,1,1,0,1,1,0,0,1,0,1,2,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,2,0,0,0,0,1,0,0,0,0,0,2,2,0,1,0,0,0,0,1,0,1,1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,1,2,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,2,0,1,0,1,1,1,0,1,0,0,0,2,0,0,0,1,1,0,0,0,2,1,1,0,0,0,1,0,1,0,0,0,0,0,0,2,0,2,1,1,0,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,2,0,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,2,0,1,2,0,1,1,0,1,2,0,2,0,0,0,0,1,0,0,0,0,0,1,1,1,2,0,1,1,1,0,2,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,2,0,1,1,0,1,0,1,0,2,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,2,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,1,1,1,1,2,1,0,0,1,0,1,1,0,1,2,0,0,0,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,2,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0,2,1,0,0,1,0,1,1,0,2,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0 0,0,0,1,1,0,0,0,0,1,1,1,0,2,1,0,0,0,0,0,0,1,1,0,1,2,1,1,1,0,2,0,0,0,0,0,0,1,1,1,1,0,0,0,1,1,0,2,0,1,1,0,0,0,1,0,1,1,1,2,0,0,0,0,1,0,0,2,1,0,0,1,0,0,1,0,1,2,0,0,0,0,0,2,0,0,0,0,1,0,0,1,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0,2,0,2,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,2,0,2,0,1,0,1,0,0,0,1,2,1,0,1,0,2,0,1,1,0,0,0,0,2,0,1,2,1,1,0,0,1,0,0,1,0,0,0,0,1,0,1,1,1,1,1,0,2,1,1,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,1,1,0,1,1,1,0,1,2,0,0,1,1,0,2,0,0,0,0,0,1,0,2,0,0,0,1,0,2,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,2,0,0,1,0,0,0,0,1,2,0,0,0,0,2,0,0,0,0,0,0,2,1,0,0,0,0,0,1,1,1,1,1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,1,2,0,1,2,1,0,0,2,1,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,2,0,0,2,0,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,1,0,1,2,0,1,0,1,0,1,0,0,0,1,0,2,0,1,2,1,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,2,1,0,0,0,1,0,2,0,1,0,1,0,1,0,0,2,0,2,2,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,2,0,1,1,2,2,1,0,1,1,0,0,1,0,0,0,0,2,0,1,0,2,0,0,0,0,1,0,0,0,0,0,1,0,1,2,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,2,1,1,0,0,0,0,1,0,0,0,0,2,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,1,1,2,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,0,1,1,1,1,2,0,0,0,0,1,1,1,1,2,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,2,0,0,0,1,0,0,1,2,0,0,1,0,1,0,0,0,2,0,0,1,1,1,0,2,0,0,1,2,0,2,0,0,1,1,0,0,1,0,1,0,0,0,2,0,0,0,0,0,2,1,1,1,0,2,2,1,2,0,0,0,1,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,2,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,1,1,0,2,0,1,0,0,1,0,1,0,1,2,1,2,1,2,0,2,0,1,0,2,0,0,0,0,0,2,1,1,1,0,2,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,2,0,0,1,1,0,0,1,2,0,1,1,0,0,0,2,1,1,1,0,1,1,0,0,1,0,0,2,1,2,1,1,0,0,1,1,0,1,0,0,1,0,2,2,0,0,1,2,1,1,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,2,1,1,2,0,1,0,0,0,0,0,1,1,1,0,1,1,2,1,0,0,0,0,0,0,1,0,1,1,0,1,2,0,0,0,0,0,0,0,2,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,2,0,0,1,0,0,2,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,2,0,0,0,1,0,0,0,2,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,2,0,1,1,1,0,0,1,0,0,1,1,1,1,0,1,1,1,1,1,2,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,1,0 1,0,0,1,1,1,1,0,1,0,1,1,1,0,1,1,0,2,2,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,2,0,1,1,0,0,1,2,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,1,1,1,0,2,1,1,0,2,0,1,0,0,1,0,0,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,2,0,1,0,0,0,0,1,1,1,1,1,0,1,0,0,1,0,1,1,0,1,1,1,2,1,0,0,1,1,0,2,0,0,0,0,0,1,0,0,0,2,1,1,1,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,1,0,2,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,1,0,1,2,1,0,2,0,1,1,2,0,0,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,2,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,2,0,1,0,1,0,0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,2,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,2,0,0,0,1,1,0,0,1,1,0,0,0,0,0,1,1,1,0,1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,2,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,1,1,2,1,1,1,0,0,0,2,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,2,0,1,0,0,0,0,1,0,0,1,0,0,1,2,0,1,0,0,0,0,0,0,1,1,0,2,1,0,2,1,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,2,0,1,1,1,2,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,2,1,0,0,0,0,1,0,0,1,1,1,0,1,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,1,2,0,0,0,0,0,0,1,1,1,0,2,2,1,0,0,0,1,0,0,0,0,0,2,0,2,0,1,0,0,0,0,0,1,1,0,1,1,0,1,1,0,2,0,1,0,1,1,1,1,1,1,0,1,2,1,2,0,0,0,0,1,0,1,0,2,1,1,0,0,2,0,2,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,1,2,1,0,1,1,0,1,1,0,0,0,0,1,2,1,0,1,0,1,2,0,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,1,1,0,0,1,0,0,1,2,1,0,0,0,2,0,0,1,1,0,0,0,0,0,1,0,2,1,0,0,1,1,0,1,2,0,0,0,2,1,1,2,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,2,0,1,0,0,2,2,2,1,0,0,0,1,0,2,0,0,1,1,1,1,0,1,2,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,2,0,0,1,0,0,0,1,0,2,1,0,0,0,1,1,2,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0 0,0,1,1,0,0,0,1,0,1,1,1,0,0,0,2,0,1,0,0,0,0,1,0,1,0,1,2,0,2,1,0,0,1,0,0,2,0,0,0,1,0,0,1,1,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,2,0,1,0,1,2,0,0,0,1,1,0,1,0,0,2,1,1,1,1,1,1,1,0,0,0,1,2,2,0,1,0,2,1,0,1,2,1,0,0,0,0,1,1,0,0,0,1,0,1,2,0,1,2,2,0,0,0,1,0,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0,1,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,0,0,0,2,1,0,0,2,1,0,2,2,0,0,0,0,0,0,1,1,1,0,1,0,1,0,1,0,2,1,2,0,0,1,0,1,1,0,0,1,0,1,0,2,1,0,0,1,0,0,1,0,1,0,0,2,0,0,0,2,0,1,0,2,2,1,1,1,0,0,0,0,0,2,1,0,0,1,2,0,1,0,0,1,0,2,2,2,1,0,1,1,0,0,2,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,1,2,0,0,1,0,2,2,0,1,0,0,1,0,0,0,1,0,2,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,2,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,1,2,1,2,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,1,2,0,2,2,2,1,1,0,1,2,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,1,1,2,0,1,0,0,1,0,2,0,0,1,0,0,0,2,0,0,0,1,0,1,0,0,0,1,0,2,0,0,2,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,1,0,1,2,0,0,1,0,0,0,1,2,0,0,1,1,1,0,0,0,2,2,1,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,2,0,1,1,1,1,0,1,0,1,1,1,2,1,1,0,2,0,1,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,2,1,0,0,2,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,2,0,0,1,1,1,0,0,1,1,0,0,0,0,0,2,2,1,0,1,1,0,1,0,0,1,1,1,0,2,1,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,1,2,2,0,0,1,0,0,0,2,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,2,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0,1,1,1,0,2,1,0,0,0,0,0,2,1,1,2,0,1,1,1,0,0,0,2,0,0,0,0,2,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0,0,1,2,0,0,0,0,1,0,1,1,0,0,2,0,0,2,1,0,2,1,2,1,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,1,2,0,0,0,2,2,1,0,1,0,0,0,0,2,2,0,1,0,0,0,0,0,0,1,0,1,0,0,1,2,1,0,1,0,0,0,1,2,0,1,0,0,1,1,1,0,0,1,0,0,0,2,0,0,0,0,0,1,0,0,0,2,1,0,0,0,2,1,1,0,1,0,0,1,0,1,0,0,0,2,0,0,1,0,0,0,0,2,0,2,1,0,0,0,0,1,2,2,0,0,1,0,1,0,2,2,0,1,0,0,0,1,0,0,0,1,1,1,0,1,1,0,0,1,2,0,0 0,0,1,2,0,0,0,0,1,0,1,2,1,1,1,1,0,2,1,0,0,0,0,0,1,1,1,2,0,1,0,1,0,1,0,0,0,2,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,1,2,1,0,0,1,1,0,0,1,0,2,0,1,0,2,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,2,0,1,0,0,0,0,2,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,1,1,1,0,1,0,2,0,2,0,0,1,1,0,1,0,0,1,0,1,0,2,0,0,2,1,0,0,1,0,0,2,0,1,1,1,0,0,0,1,1,0,1,2,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,2,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,1,1,0,1,0,2,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,2,2,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,2,0,1,0,0,0,0,2,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,1,2,0,0,0,2,0,0,1,1,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,2,1,0,1,1,2,2,2,0,0,0,1,1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,1,1,1,0,0,2,1,2,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,2,0,0,0,1,0,0,0,1,0,2,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,2,0,1,0,0,0,0,0,0,2,1,1,0,1,0,1,0,2,0,2,0,0,0,2,0,2,0,1,1,0,2,1,0,2,0,0,0,1,1,0,0,1,1,0,0,2,1,0,0,0,0,0,0,1,1,0,0,0,1,1,1,0,1,0,1,1,2,1,0,0,1,0,0,1,1,2,1,2,0,1,1,1,0,0,0,1,0,1,2,0,1,0,0,1,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0,2,0,1,0,2,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,2,0,0,0,0,0,1,1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,1,2,0,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,2,0,0,0,2,0,1,1,1,0,1,0,1,0,2,1,0,0,2,1,0,0,2,1,0,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,1,2,2,0,2,0,1,1,2,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,2,1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,1,2,0,0,1,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,2,0,0,0,0,0,0,0,1,0,1,1,1,0,0,2,0,0,1,1,1,0,1,1,0,2,1,1,0,1,0,0,0,0,1,1,0,0,0,1,1,1,2,0,2,0,0,1,1,0,1,1,0,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,2,0,1,0,0,0,0,0,1,1,0,0,1,0,0,2,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,0,2,0,2,1,1,1,1,0,0,0,2,1,0,0,0,1,0,0,0,0,0,1,1,1,0 0,0,0,0,1,1,1,0,1,1,2,0,0,0,1,0,0,0,1,2,0,0,0,0,1,1,1,2,0,0,1,1,1,1,0,0,1,1,0,1,2,1,0,1,2,0,1,2,0,0,1,0,0,0,2,0,1,0,1,0,0,0,0,0,1,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,2,1,0,0,1,0,0,1,0,1,1,0,0,2,0,1,0,0,0,0,1,0,1,0,1,0,1,0,2,1,1,1,1,0,1,1,1,2,1,0,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,2,0,1,1,0,1,0,1,0,0,0,0,0,1,1,0,2,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,1,2,0,2,1,1,2,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0,2,2,2,1,0,1,1,1,1,1,0,0,2,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,2,0,1,0,0,0,0,0,1,0,1,1,1,0,1,1,0,0,2,2,1,0,0,1,0,0,0,0,0,0,1,2,0,1,0,0,0,0,1,0,1,0,0,0,0,1,2,0,1,0,1,1,0,0,0,0,0,1,2,1,0,0,1,0,0,2,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,1,2,0,1,2,0,2,0,0,1,1,0,0,0,0,2,2,0,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,2,2,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,2,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,1,1,2,1,0,0,0,1,0,0,2,0,1,0,0,1,2,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,2,0,0,0,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,2,0,1,2,2,0,0,0,0,0,1,0,0,0,0,2,1,2,0,0,0,1,2,0,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0,2,0,1,2,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,1,1,0,2,0,0,2,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,1,2,0,0,2,0,1,0,0,1,1,0,1,1,0,0,2,0,1,0,0,0,1,0,2,1,0,2,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,1,1,0,2,1,0,0,0,0,0,0,2,0,0,0,2,0,0,0,2,1,1,0,2,1,0,0,2,0,0,0,0,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,1,2,1,1,1,2,2,0,1,0,2,1,0,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,2,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,2,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,2,1,0,1,0,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,2,0,1,0,0,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,1,2,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,2,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,2,0,0,1,0,1,0,1,2,0,0,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,1,0,0,1,0,2,1,1,0,0,0,1,0,1,2,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,2,0,0,1,0,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0,1,1,0 0,0,1,2,0,0,1,0,1,0,2,2,1,0,1,0,0,1,1,0,0,1,1,1,1,1,1,2,0,0,2,0,1,0,1,0,1,1,0,0,2,0,0,1,0,0,0,1,1,1,1,0,0,1,1,0,1,1,0,2,0,0,0,0,0,1,0,0,2,0,2,0,2,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,2,0,1,1,0,1,0,2,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,1,1,2,1,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,2,0,0,0,1,1,1,1,1,0,0,0,1,0,1,0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,2,0,1,0,1,1,1,0,0,0,0,0,0,1,0,1,1,1,1,1,0,1,0,2,0,0,1,1,0,0,0,0,0,1,2,1,0,2,0,2,1,0,0,1,1,1,1,0,0,1,0,1,0,2,1,0,0,0,0,0,1,0,1,0,0,0,1,0,1,2,2,0,1,0,0,0,0,0,1,0,0,0,0,2,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,2,0,0,0,0,1,1,1,0,1,1,0,1,1,0,2,0,0,0,1,1,1,2,0,1,0,0,0,1,1,1,0,0,2,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,2,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,1,0,0,1,1,1,1,1,1,0,0,1,2,1,0,0,1,1,1,1,0,0,2,0,0,1,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,2,0,1,0,1,1,2,1,1,0,0,1,0,1,2,1,0,1,1,0,2,0,1,0,1,0,0,0,0,0,1,2,0,1,0,2,0,0,0,0,0,0,1,2,2,1,0,1,0,1,0,1,0,0,0,2,0,1,2,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,1,0,2,0,1,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,1,1,1,1,1,1,0,1,0,0,1,0,2,0,1,1,0,2,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,1,1,1,1,1,1,0,1,0,1,2,0,1,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,2,1,1,0,1,2,1,0,1,0,1,0,1,1,0,1,0,1,0,2,2,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,2,0,1,0,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,2,0,2,1,0,0,0,1,1,2,0,1,0,0,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,1,0,2,1,1,1,1,0,1,1,0,0,1,0,2,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,2,1,0,1,0,2,1,2,0,0,1,1,1,0,0,0,0,0,1,1,0,1,2,1,0,0,0,1,0,2,0,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,2,0,0,0,2,1,0,1,1,1,0,1,1,0,1,2,1,0,0,0,1,2,0,2,1,2,1,0,0,0,2,0,0,0,1,0,1,0,0,2,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,2,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0 1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,2,0,0,0,1,0,0,1,2,0,1,0,1,0,0,1,0,1,0,0,0,0,0,2,0,0,2,1,0,1,0,0,0,0,1,2,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,2,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,1,2,1,2,0,0,0,1,2,2,0,2,1,0,0,2,0,2,0,2,0,0,0,0,1,0,1,0,2,1,1,0,0,0,0,0,1,0,1,0,2,0,1,1,0,0,0,0,1,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,1,0,0,0,2,2,0,1,1,0,1,0,1,0,0,1,0,1,2,2,2,1,2,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0,2,1,0,1,2,1,1,0,0,0,0,0,1,1,0,1,2,0,1,0,0,0,1,1,2,1,0,0,1,1,0,0,0,2,1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,1,2,0,2,2,0,2,0,1,0,0,1,0,0,0,1,2,0,0,1,0,2,0,2,1,1,1,0,1,1,2,0,0,0,0,0,1,2,2,1,0,0,2,1,1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,1,1,2,0,0,0,1,0,1,0,0,2,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,2,1,0,2,0,0,2,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,1,1,0,1,1,0,2,0,0,0,1,0,1,1,0,2,0,0,1,1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,2,0,0,2,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,2,1,0,0,0,0,0,0,0,2,1,1,0,1,0,0,0,0,0,1,0,1,1,0,1,2,0,0,0,1,0,0,1,0,0,0,1,1,0,0,1,0,2,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,2,1,0,1,0,1,1,1,1,0,0,1,1,1,1,2,2,0,0,1,1,0,0,0,2,0,2,2,0,0,0,0,0,0,0,1,1,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,2,0,1,0,0,0,1,0,1,0,2,0,1,1,2,2,0,0,0,0,2,0,1,0,0,0,1,0,0,1,2,0,0,0,0,1,0,0,0,2,0,0,0,2,0,0,1,0,0,1,1,1,0,1,2,0,1,2,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,2,0,1,1,1,0,0,0,0,1,2,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,1,0,0,1,1,2,1,0,0,1,0,0,0,0,0,2,2,0,0,0,2,0,0,0,0,0,1,0,1,1,1,1,1,1,1,2,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,1,1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,2,1,1,0,0,0,0,1,0,1,0,2,1,0,0,0,0,0,1,1,0,0,2,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,2,0,0,0,1,0,0,1,0,0,0,1,2,1,0,0,0,1,0,0,1,0,2,0,0,0,1,0,0,1,0,1,1,1,1,1,2,1,0,1,1,1,0,0,2,1,1,0,1,0,0,0,1,0,0,0,0,2,0,0,1,2,1,1,0,2,0,0,1,1,0,0,2,0,1,1,0,1,2,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,1,2,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,1,1,1,2,0,0,0 0,1,1,0,0,0,0,0,1,2,1,1,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,2,1,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,2,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0,2,0,2,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,2,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,2,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,2,0,1,1,0,1,2,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,1,0,1,1,0,2,0,1,0,1,1,0,0,0,1,0,0,1,0,2,0,0,0,0,0,1,2,1,0,1,2,0,0,1,1,0,0,0,0,0,1,1,1,2,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,1,2,0,1,1,1,0,0,0,0,2,1,0,1,2,0,0,0,1,1,0,0,1,0,0,0,1,0,0,2,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,1,0,2,0,0,1,2,0,0,1,2,1,0,0,0,0,2,0,0,0,0,0,0,2,2,0,1,1,1,0,0,0,2,0,0,0,1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,1,2,0,1,0,0,1,1,0,1,1,0,1,1,0,2,0,1,1,1,0,1,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,2,2,0,0,0,2,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,2,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,2,1,0,1,1,0,0,2,0,0,0,0,1,0,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,1,1,2,0,2,0,0,0,1,0,0,1,0,0,0,1,0,2,1,0,0,0,0,1,0,0,0,0,2,1,1,2,0,0,0,1,1,2,0,1,1,1,0,1,2,0,1,0,0,0,0,0,0,0,1,1,2,0,2,0,0,1,1,1,0,1,0,1,0,0,2,0,0,0,1,0,0,0,0,2,2,0,2,1,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0,2,1,0,0,2,2,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,2,0,0,0,1,0,0,0,2,1,0,0,1,0,2,1,1,1,0,0,1,0,1,0,0,0,1,2,0,0,1,1,1,0,1,0,0,1,0,1,1,2,1,2,0,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,2,0,1,0,2,0,0,0,0,0,1,0,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,2,0,1,0,0,1,0,1,0,0,1,2,0,0,0,0,0,1,0,2,1,0,0,0,0,1,0,0,1,1,0,0,0,1,2,0,0,2,1,1,1,0,2,0,0,0,0,1,1,0,1,0,1,0,0,1,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,0,2,0,2,2,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,2,2,0,0,0,0,2,0,0,0,0,0,0,2,1,2,0,1,0,1,0,2,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,2,0,0,0,0,0,0,2,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,2,0,1,1,2,0,0,1,0,0,2,1,0,1,1,0,2,1,0,0,0,1,0,1,2,0,0 0,0,2,1,1,1,1,0,0,1,2,1,0,0,1,0,0,1,0,0,1,0,1,2,2,1,2,2,0,1,1,0,1,0,1,0,0,0,1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,2,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,2,0,1,1,1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,1,0,1,0,2,0,2,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0,1,1,1,1,1,1,0,1,0,0,0,0,2,0,2,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,2,1,1,1,1,0,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,0,1,2,1,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,2,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,1,0,1,0,2,1,1,1,1,0,0,0,0,0,1,0,1,0,0,2,2,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,2,1,2,1,0,1,2,0,0,0,1,2,0,1,0,0,2,0,0,1,0,1,0,0,1,1,1,0,1,2,0,0,0,1,0,0,0,0,0,1,1,0,0,1,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,1,2,2,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,2,1,0,1,0,1,1,0,0,1,2,0,0,0,2,1,0,0,1,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,2,1,0,1,0,0,2,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,1,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,1,0,0,0,1,1,0,2,0,2,0,1,1,1,1,1,0,0,0,0,1,2,0,0,1,1,0,0,1,1,1,1,0,2,0,1,0,2,0,0,0,0,0,2,0,0,0,1,0,1,0,1,1,0,1,0,0,1,2,1,0,0,0,0,0,1,2,0,2,0,0,1,1,1,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0,2,0,0,2,0,2,2,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,1,1,0,1,1,0,1,2,1,1,2,0,0,2,0,0,0,1,1,0,2,0,2,0,1,0,0,0,0,0,2,1,0,0,1,2,0,0,1,0,0,0,0,1,1,2,0,0,1,0,0,2,0,2,1,1,0,0,1,0,0,0,0,2,0,1,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,2,1,0,0,0,0,1,0,1,0,2,1,1,1,0,1,0,2,0,0,0,1,0,0,0,0,0,1,2,1,0,1,0,0,1,0,0,0,1,0,0,1,0,2,1,0,1,0,0,1,0,0,0,1,0,1,2,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,2,0,1,1,1,1,0,1,1,0,0,0,1,1,1,1,0,1,2,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0,2,0,0,0,0,2,1,1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,1,1,2,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,0,0,2,0,2,0,0,1,0,0,0,0,1,0,2,2,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,2,0,0,0,0,0,1,2,0,0,0,0,1,1,0,0,1,0,0,2,0,0,1,0,1,0,0,0,0,0,0,1,2,0,1,0,0,0,0,2,1,1,0,0,1,0,0,1,1,0,0,0 0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1,1,1,1,2,0,0,0,1,0,0,1,0,0,1,0,0,0,0,2,1,1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,2,0,2,1,0,2,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,2,0,0,1,1,1,0,1,0,0,1,0,2,2,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,1,1,1,1,0,2,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,1,2,0,1,0,1,1,0,2,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,2,0,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,1,0,2,0,1,0,0,0,0,1,1,1,1,1,0,1,0,1,2,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,1,2,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,2,2,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,2,1,1,0,0,1,1,2,2,0,1,0,2,0,0,1,0,2,0,0,1,1,0,2,0,0,0,0,1,1,0,1,2,0,1,0,1,0,1,0,1,0,0,1,0,0,0,2,0,0,1,1,1,0,1,0,2,1,1,0,0,1,0,0,0,1,0,0,0,2,0,1,1,0,0,0,1,0,0,0,0,0,2,0,1,1,0,2,1,0,1,0,1,0,1,0,0,1,0,0,0,1,1,1,0,0,1,0,2,0,0,0,0,1,2,0,1,0,2,1,0,0,0,0,2,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,2,0,1,1,2,0,1,0,0,2,0,1,2,0,1,0,0,0,2,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,1,2,1,0,1,1,0,2,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,2,1,0,1,0,1,0,0,0,2,1,0,0,2,0,2,2,1,1,0,1,1,1,1,0,0,2,0,1,0,1,0,0,2,2,0,0,0,0,2,0,0,0,1,0,0,0,1,1,2,1,0,1,0,0,1,0,2,1,2,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,2,0,0,0,1,0,1,0,0,1,0,0,1,1,2,0,0,0,0,0,0,1,1,0,1,2,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,2,2,1,0,1,0,0,0,1,0,2,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,1,2,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,1,2,0,0,1,1,1,0,0,1,2,2,1,0,1,0,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,1,0,1,1,2,2,0,1,2,0,1,0,2,1,0,0,1,0,0,1,0,0,1,0,0,0,2,0,0,0,1,0,1,1,0,2,0,1,2,0,0,1,0,0,0,0,0,2,0,0,0,1,0,2,0,1,1,0,0,0,0,0,2,1,0,0,0,1,0,0,2,1,0,0,0,0,2,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0 1,0,0,0,1,0,1,0,1,1,1,0,0,1,2,0,0,1,1,0,0,1,2,1,1,1,1,2,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,2,0,1,0,0,1,1,2,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,2,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,1,0,2,0,1,1,2,0,0,0,0,1,0,1,1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,1,1,1,0,1,2,1,0,0,0,0,0,0,1,0,0,1,1,2,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,2,0,0,1,0,0,1,0,0,0,0,0,2,1,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,2,0,0,0,1,1,1,0,0,1,1,0,0,0,2,1,0,2,0,1,0,0,2,0,0,0,1,1,0,0,0,0,1,1,1,0,1,1,0,0,0,2,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,2,0,0,1,1,1,1,0,2,0,1,0,0,1,1,1,0,0,0,2,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,2,0,1,0,1,0,1,0,0,0,0,2,1,1,0,2,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,1,0,2,0,0,0,0,0,1,0,0,0,1,0,2,1,0,0,0,1,1,0,0,1,0,0,0,2,0,0,1,0,0,1,2,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,1,0,2,0,2,2,1,0,1,0,0,1,0,0,0,1,0,2,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,2,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,2,0,1,0,0,2,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,2,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,2,0,1,0,0,0,1,0,0,2,2,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,2,0,0,0,2,0,2,0,2,1,0,1,0,0,1,1,1,0,0,0,2,0,0,0,1,1,1,1,0,0,0,0,1,2,1,0,1,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,0,1,0,0,2,1,1,0,1,1,1,0,1,0,2,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,2,1,1,0,1,0,0,1,0,1,0,0,0,1,1,2,0,0,0,0,0,0,1,0,2,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,2,2,1,1,2,0,0,0,0,0,0,0,1,1,1,2,0,1,0,0,1,1,1,1,0,0,0,0,0,0,2,2,1,0,0,1,0,1,0,2,0,0,0,0,0,1,0,0,1,0,0,1,1,1,1,1,1,1,0,0,0,1,2,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,2,0,1,0,0,0,1,0,1,0,1,0,0,2,1,0,2,0,1,0,0,0,1,0,0,0,0,1,0,2,1,0,1,1,0,0,0,1,1,0,1,1,0,0,2,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,1,2,0,0,1,2,2,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0 1,0,1,1,0,0,1,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,2,0,0,1,1,1,1,0,0,0,0,1,1,2,2,0,0,0,0,0,1,0,2,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,2,0,1,0,1,1,1,0,0,2,1,0,2,1,1,0,1,0,1,2,2,0,1,0,0,0,0,1,0,1,2,0,1,0,0,2,0,1,0,0,0,0,0,2,0,0,1,2,0,1,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,2,0,0,0,0,1,1,0,1,0,0,0,1,2,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0,0,0,1,0,0,2,0,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,2,1,1,2,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,2,1,0,1,0,1,0,0,2,1,1,1,0,0,0,2,1,0,1,1,1,0,0,1,0,0,0,1,2,1,0,0,1,0,1,1,2,0,2,1,2,1,2,0,0,0,0,1,2,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,2,0,0,1,0,1,0,1,1,0,0,0,0,1,0,1,2,0,1,0,1,2,0,0,2,0,1,0,0,0,1,1,1,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,2,1,1,2,1,1,1,1,1,0,0,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,1,0,2,0,0,1,1,1,2,0,0,1,0,2,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,2,0,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,2,0,2,0,0,0,0,0,0,2,2,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,2,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,2,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0,2,1,2,0,0,2,0,0,1,0,1,1,1,0,1,1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,1,2,0,1,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,2,0,1,1,2,0,1,0,0,0,2,0,1,0,2,1,1,1,1,0,1,0,2,0,0,0,1,2,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,2,0,1,0,0,2,1,2,1,0,0,1,0,1,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,2,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,1,2,1,1,1,1,1,0,0,1,0,2,2,1,1,0,0,1,2,0,0,0,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,2,1,1,1,1,1,0,0,0,1,0,0,2,1,1,1,0,0,0,0,2,0,0,2,0,0,1,0,1,1,1,1,0,1,0,1,1,2,1,1,0,0,2,2,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,2,1,0,0,2,0,0,0,1,1,0,0,0,0,1,0,1,1,1,1,1,1,1,0,0,0,1,1,1,1,2,1,0,0,0,0,1,1,1,0,0,2,1,2,0,2,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0 1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,2,0,1,2,0,0,0,0,1,1,0,0,0,1,0,0,0,2,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,2,0,0,0,1,0,1,1,1,1,2,2,0,0,0,1,1,0,2,0,0,0,0,0,1,0,0,0,0,1,2,0,0,0,0,2,0,1,2,0,1,1,0,1,0,1,0,0,0,1,1,2,1,2,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,2,0,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,2,0,1,2,0,0,0,0,0,0,2,1,0,1,0,0,2,1,0,1,1,1,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0,1,1,0,0,2,0,1,1,0,1,2,1,1,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,1,1,0,1,0,1,1,2,1,0,0,0,1,2,0,1,1,1,0,0,2,1,1,2,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,2,1,0,0,1,0,0,0,0,0,1,1,0,2,0,0,1,0,1,0,1,1,0,0,0,0,0,0,2,0,0,1,0,2,0,0,1,2,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,2,0,0,2,2,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,0,2,1,1,0,0,0,1,2,1,0,0,0,2,1,0,1,1,0,0,1,0,0,2,0,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,2,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,2,1,0,1,0,2,0,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,2,1,0,0,0,1,0,2,0,1,0,1,0,1,1,0,0,2,1,1,0,0,0,0,0,0,0,0,1,0,1,0,2,0,1,1,1,1,0,1,0,2,0,2,0,0,2,0,0,2,2,0,0,0,0,2,1,1,0,1,1,2,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,2,1,0,1,1,1,0,2,1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0,1,2,1,0,2,0,2,0,0,1,0,0,0,0,0,0,0,1,2,1,0,0,0,1,2,1,1,0,0,1,1,1,0,1,1,0,0,1,0,1,0,0,2,0,1,0,0,0,0,1,0,0,1,0,0,0,1,2,1,0,0,0,1,0,1,0,0,0,2,2,1,0,0,1,0,1,1,1,0,1,0,1,0,2,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,1,2,2,1,0,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,1,1,1,1,1,1,0,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,2,0,1,0,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,2,0,0,1,0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,1,2,1,1,0,1,0,0,2,0,0,1,2,0,2,0,0,0,1,0,1,0,0,1,0,0,0,0,2,0,2,1,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,2,0,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0 1,0,1,1,0,0,1,1,1,2,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,1,2,0,0,0,0,0,2,0,1,0,0,0,0,1,1,0,0,2,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,2,1,0,0,0,0,2,1,0,0,1,0,0,0,0,0,2,1,1,2,0,2,0,1,1,0,0,1,0,1,0,1,0,1,2,0,1,0,1,0,0,0,1,0,0,1,2,0,0,0,1,0,1,0,1,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0,2,2,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,2,0,0,0,0,1,0,0,2,0,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,1,1,0,1,2,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,2,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,2,2,0,2,1,0,0,0,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,2,0,1,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,1,0,1,0,1,0,2,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,2,0,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,1,2,1,0,0,1,0,1,1,0,2,0,1,0,0,1,0,1,1,0,0,2,0,2,1,0,0,0,0,2,2,1,2,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,2,1,2,1,2,0,2,0,0,2,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,2,1,2,1,0,0,0,1,2,1,0,0,0,1,1,1,0,1,1,0,0,1,0,1,0,2,0,1,1,1,1,1,2,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0,0,0,1,1,0,2,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,2,1,0,0,0,0,1,0,1,1,2,0,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,2,1,2,0,0,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,2,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,1,0,1,0,0,0,0,1,0,1,0,0,2,2,0,1,0,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,2,0,0,1,1,1,1,1,1,0,0,2,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,2,1,0,0,0,0,0,1,1,2,1,1,1,2,2,0,0,0,0,0,0,0,0,1,1,1,2,1,0,1,0,1,0,0,0,2,1,0,0,0,1,0,0,1,1,0,1,0,1,2,0,0,0,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,1,2,0,1,1,1,0,1,1,0,0,0,0,0,2,1,1,0,1,0,2,0,1,1,0,0,0,0,1,1,2,0,0,0,0,0,2,1,0,1,2,0,2,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,2,0,0,1,0,0,0,0,0,1,0,0,1,2,0,0,0,0,2,1,2,1,0,0,1,0,0,2,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0 1,0,1,2,0,0,0,1,1,0,1,2,0,1,1,0,1,1,0,0,0,0,2,0,0,2,0,2,0,0,1,0,0,2,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,1,2,2,1,0,0,1,0,1,0,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0,1,1,2,0,0,1,2,1,1,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,2,1,0,1,0,1,0,0,2,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,2,1,0,0,1,1,1,1,1,2,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,2,1,0,2,1,0,0,0,1,1,0,0,0,1,1,1,2,0,0,0,0,0,0,0,1,0,1,2,0,0,1,1,1,0,1,1,2,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,2,0,0,1,0,0,0,2,0,1,0,2,1,1,0,0,2,0,0,0,0,0,2,0,0,1,2,0,1,0,0,0,1,1,0,0,0,0,0,0,0,2,1,0,0,1,1,0,0,0,1,0,1,1,1,0,0,0,0,2,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,1,1,1,0,0,1,2,0,1,0,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0,2,0,0,1,0,0,0,0,0,0,2,0,0,2,2,1,0,0,1,2,0,1,1,0,0,0,0,1,0,1,0,2,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,2,0,0,2,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,1,2,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,2,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,1,2,0,0,0,2,0,2,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,2,1,0,0,0,0,0,0,1,0,1,0,0,1,0,2,1,0,1,2,2,1,2,1,1,0,1,2,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,0,1,2,0,1,0,2,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,2,1,0,1,1,1,1,2,0,0,1,2,0,0,1,0,1,0,1,0,1,1,0,2,1,1,1,1,1,2,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0,2,0,1,1,0,0,1,1,2,0,1,0,1,0,1,1,1,2,1,0,0,1,0,0,0,2,1,1,1,0,1,2,2,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,2,0,1,0,0,0,0,2,1,0,0,0,0,1,1,2,1,1,1,2,1,0,1,1,1,0,1,2,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,1,2,0,1,1,2,1,2,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,0,0,1,2,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,2,0,1,0,1,0,1,0,0,1,0,1,0,0,0,1,0,1,2,0,2,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,2,1,0,0,2,1,1,1,2,0,1,1,2,0,1,1,1,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,2,1,0,0,0 1,0,1,1,1,1,0,0,0,2,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,1,1,1,0,1,2,1,0,1,1,1,2,0,0,0,1,0,1,2,0,0,1,1,1,1,0,1,1,2,0,0,0,0,1,1,2,2,2,1,0,2,2,0,0,1,2,0,0,0,0,1,0,2,0,0,0,1,0,1,0,2,0,1,2,0,0,2,0,0,1,0,0,1,0,0,1,0,2,0,1,0,2,1,1,0,2,2,2,1,1,0,0,0,0,0,0,2,0,2,0,0,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,2,0,1,0,0,0,0,0,2,1,1,1,0,0,0,0,0,0,2,1,1,0,0,1,0,1,1,0,1,1,1,2,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,2,1,0,1,2,0,0,0,1,1,1,0,1,0,0,2,0,0,0,0,2,1,0,0,0,0,1,0,1,0,0,2,1,0,0,0,0,2,2,1,0,0,2,0,1,0,0,1,0,1,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,1,2,0,0,2,1,0,0,0,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,1,2,1,0,0,0,0,1,0,1,2,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,2,1,1,2,2,0,1,1,0,1,2,0,1,0,0,2,1,0,2,0,1,0,0,1,0,0,1,1,0,2,2,2,1,1,1,1,1,1,0,0,1,1,0,0,1,0,1,1,0,2,0,2,0,1,0,1,0,0,0,1,2,0,1,1,0,0,1,0,1,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,2,0,0,0,2,1,0,2,0,0,0,0,1,1,0,0,0,0,0,0,2,0,1,1,0,0,1,0,0,1,1,2,0,1,1,1,1,0,0,0,1,0,1,1,0,2,0,1,0,2,0,2,0,0,0,0,0,2,2,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,2,1,0,2,1,0,0,1,1,1,0,0,1,0,0,1,0,0,2,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,2,2,1,1,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,1,1,0,1,1,1,0,1,1,0,1,1,1,0,0,2,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,2,0,1,1,1,0,0,1,0,0,1,0,2,0,0,0,1,0,2,2,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,1,0,1,0,1,2,0,1,0,1,1,1,0,0,1,1,0,0,0,2,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,2,2,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,2,0,1,0,1,0,0,0,1,1,1,1,1,1,2,2,0,1,1,1,0,0,1,2,0,1,0,0,0,1,1,2,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,2,0,0,2,0,1,0,0,0,0,0,1,0,2,1,2,0,1,1,2,0,1,1,1,1,0,2,1,2,1,0,1,1,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,2,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,2,0,1,0,1,1,2,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,2,1,0,2,1,0,0,0,0,0,0,1,1,1,0,0,1,0,1,2,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,2,0,0,0 1,0,1,1,1,0,1,0,0,1,1,0,2,2,1,1,1,2,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,1,0,0,2,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0,1,1,0,1,1,0,1,1,1,1,0,0,0,2,0,0,0,0,0,2,0,0,1,1,0,0,2,1,0,0,1,1,1,0,0,0,1,1,0,2,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,1,0,0,0,0,0,0,0,2,0,1,0,0,0,0,2,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,2,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0,1,2,1,0,0,0,0,2,1,0,0,0,1,0,0,1,0,1,2,0,0,1,1,1,0,1,0,0,1,0,1,2,0,0,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,1,0,1,1,1,1,1,1,1,1,0,2,2,1,1,1,0,0,0,0,1,0,0,0,2,1,0,0,1,0,0,1,2,0,2,1,2,1,1,1,1,2,0,0,2,1,2,0,0,0,1,0,2,1,2,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,2,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,1,1,0,0,2,0,1,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0,2,0,1,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,1,1,0,2,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,2,0,1,0,0,0,1,0,2,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,2,2,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,2,1,1,0,1,0,1,0,0,1,0,1,1,0,2,0,0,0,1,2,1,1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,2,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,2,0,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,1,1,0,0,2,1,0,0,1,0,1,0,1,0,1,1,0,1,2,1,1,0,1,1,2,0,0,0,1,1,0,1,0,1,1,0,0,1,2,0,2,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,2,0,0,2,0,1,1,0,0,1,1,0,0,1,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,2,1,0,0,1,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,1,0,0,0,1,0,2,1,1,1,0,0,0,0,1,1,1,0,0,2,1,1,1,1,0,0,1,0,0,0,2,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,2,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,2,0,1,1,0,0,0,1,0,1,1,2,0,0,2,1,0,0,2,0,0,0,0,1,0,0,2,0,0,1,1,1,0,2,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,1,0,0,0,1,2,2,0,1,0,1,0,1,0,2,1,1,0,0,0,0,1,0,1,2,0,0,0 1,0,1,0,1,0,0,0,0,2,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,1,0,0,1,0,1,2,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,2,1,0,0,0,1,1,1,0,2,0,0,0,0,1,0,1,2,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,2,1,0,1,1,1,0,1,1,0,1,1,0,2,0,1,0,0,0,1,1,0,0,0,0,0,2,1,1,0,1,0,1,0,2,1,2,1,0,1,0,0,2,1,1,0,0,1,1,0,1,0,0,0,0,2,1,1,0,1,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,2,0,2,1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0,1,1,2,1,2,0,0,1,1,1,0,0,1,0,0,1,1,0,2,0,0,0,0,1,0,2,1,2,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,0,2,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,2,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,2,0,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0,2,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,2,0,0,0,0,1,0,0,0,0,1,1,0,2,1,0,0,0,1,1,0,0,1,1,0,1,1,1,1,0,0,1,0,1,0,2,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,2,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,2,0,1,0,0,1,0,0,1,1,1,0,1,0,2,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,2,0,1,1,0,0,1,0,0,0,2,0,2,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,0,2,0,1,0,0,1,1,1,0,0,0,0,1,1,1,2,0,1,0,1,0,0,1,0,0,0,2,0,1,1,0,0,0,2,0,1,2,0,0,0,1,0,1,1,2,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,1,1,1,1,0,1,0,2,0,1,0,0,0,1,1,0,2,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,1,0,2,1,0,1,2,0,1,2,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,2,1,0,0,2,0,0,0,1,0,0,0,1,0,1,0,1,0,1,1,1,0,1,1,2,0,1,0,0,1,0,1,0,0,2,1,0,1,1,0,0,1,1,1,0,0,0,1,0,2,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2,1,2,1,1,2,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,2,0,0,1,0,0,1,1,0,0,1,1,2,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,2,1,1,0,1,0,0,0,0,0,0,2,0,0,0,1,1,0,1,2,1,1,1,1,1,0,1,0,0,1,1,0,2,0,1,0,0,1,2,0,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,0,2,1,0,0,1,1,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,0,1,1,1,1,2,0,0,0,0,0,0,0,1,0,1,0,0,1,2,1,1,0,1,0,2,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,1,2,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,1,1,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,2,0,0,2,1,1,1,2,2,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0 0,0,1,0,1,0,1,1,0,0,2,1,0,0,2,1,0,1,2,0,0,0,0,0,1,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,2,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,2,0,0,1,0,2,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,2,1,1,0,0,0,2,0,1,0,0,1,2,0,1,0,1,2,0,0,1,0,1,1,2,1,2,2,0,0,2,0,0,0,1,1,0,1,1,0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,2,0,1,1,1,1,0,0,0,2,1,0,2,1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,2,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,1,2,1,0,2,1,1,1,0,2,0,0,0,1,0,1,1,0,1,2,1,0,0,2,0,0,1,0,1,0,0,2,0,1,1,0,0,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0,2,0,1,2,1,0,1,0,1,0,1,0,1,1,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,2,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,2,0,0,1,2,0,0,0,1,2,0,2,0,0,1,0,1,0,1,0,0,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,2,2,0,1,0,1,0,0,0,2,1,2,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,2,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,2,0,0,1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,1,1,2,2,0,1,0,1,0,0,0,2,1,0,1,0,0,0,2,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,2,0,0,1,1,0,0,1,1,0,1,0,0,2,1,2,0,1,0,0,1,1,2,1,1,1,0,2,2,1,0,2,0,1,0,0,1,0,0,0,0,0,1,1,1,1,1,0,0,1,0,0,2,0,0,0,0,0,1,0,0,1,2,0,0,0,2,0,0,0,1,0,1,0,2,0,1,1,2,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,2,2,2,0,1,0,0,1,2,0,0,0,1,0,0,1,0,2,2,2,0,0,2,0,0,1,2,2,0,2,0,0,1,1,0,1,0,1,0,0,2,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,2,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,1,1,2,0,0,0,0,0,2,0,1,0,0,0,1,0,0,0,1,2,0,1,0,1,0,2,1,0,2,2,0,0,1,0,0,0,2,0,0,1,2,0,1,0,0,0,1,1,2,1,2,0,0,0,2,2,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,2,0,0,1,0,1,1,2,1,0,0,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,2,1,0,0,1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,2,0,0,0,0,1,1,1,0,1,0,0,1,0,2,2,0,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0 0,0,1,0,0,1,0,0,0,0,1,1,0,2,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,1,0,0,2,0,2,0,0,0,2,2,0,0,0,0,0,1,0,1,2,0,0,0,0,1,0,1,0,2,0,0,0,0,1,2,1,0,1,0,1,0,0,2,0,0,1,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,2,0,0,2,2,0,2,1,0,0,0,1,1,0,2,1,0,0,1,0,0,1,0,2,0,2,0,0,0,1,0,1,1,0,0,0,0,0,1,2,1,0,0,0,1,0,0,1,0,0,2,0,0,0,2,1,0,1,0,2,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,1,1,0,0,2,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,2,1,0,0,2,1,0,1,0,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0,1,1,2,1,1,0,1,1,0,1,2,1,1,0,0,0,0,2,0,0,0,1,0,0,2,1,0,0,0,1,1,1,0,0,1,0,0,0,0,2,2,0,0,1,0,1,2,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,2,1,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,0,1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0,2,1,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,2,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,2,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,1,2,1,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,1,1,0,2,0,2,1,1,0,0,0,0,0,1,0,0,2,0,1,2,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,2,1,1,0,0,0,2,1,1,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,2,1,1,0,0,1,0,0,1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,1,2,1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,1,2,0,0,1,0,0,0,0,0,1,2,0,1,0,0,1,1,0,0,0,0,2,2,1,0,0,1,0,0,2,1,0,0,1,0,1,2,2,1,0,0,0,1,0,0,1,1,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,1,1,1,0,0,2,0,1,1,1,0,1,0,0,0,2,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,2,0,1,0,0,0,2,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,2,0,1,1,0,1,0,1,0,0,0,2,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0,0,2,0,1,2,0,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,2,1,1,0,1,0,0,0,0,1,0,2,0,1,0,0,1,2,0,0,0,0,1,0,0,1,1,2,1,0,0,0,0,1,0,1,1,1,0,0,1,2,1,0,2,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,1,1,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,1,0,1,2,0,0,1,0,1,1,1,0,0,0,1,0,0,2,0,2,0,2,1,0 0,0,2,2,0,0,0,0,0,2,1,0,0,2,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,1,2,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0,2,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0,2,0,0,1,1,1,0,0,0,1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,2,0,0,1,0,1,0,0,0,2,1,0,1,0,0,0,1,2,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,1,2,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,1,1,1,1,1,0,2,0,1,2,0,0,0,0,0,1,0,0,0,0,1,1,2,2,1,0,2,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0,1,2,1,1,2,0,0,1,2,0,0,0,2,2,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0,2,2,2,0,1,0,2,0,0,0,1,0,0,2,0,0,0,1,1,0,0,0,1,0,0,0,0,1,2,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,2,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,2,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,2,1,0,0,0,2,0,0,1,2,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,1,0,2,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,2,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,2,0,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,2,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,2,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,2,1,1,0,0,0,0,1,0,1,2,2,0,0,1,2,0,0,0,1,0,2,0,2,1,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,2,1,1,0,0,1,0,1,0,1,1,0,2,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0,1,2,1,1,0,1,0,1,0,1,0,0,1,1,0,1,1,2,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,1,1,1,0,2,1,0,1,1,0,0,1,2,1,1,1,1,0,1,0,2,0,0,0,0,0,2,1,0,2,0,0,0,1,0,1,0,0,2,2,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,2,0,1,1,2,0,0,0,2,0,1,1,2,1,1,0,0,0,2,0,0,0,1,0,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,2,0,1,0,0,0,0,2,0,0,0,1,1,1,2,0,1,0,1,1,0,0,0,0,0,0,1,1,2,1,0,1,0,0,2,1,0,0,0,1,1,0,0,0,2,2,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,2,0,1,0,1,0,0,2,0,0,0,0,1,0,0,1,0,2,1,0,0,0,1,0,1,0,1,2,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,2,1,1,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,1,0,1,1,2,1,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,2,1,0,2,0,2,1,1,0,0,0,0,1,1,0,0,0 0,0,0,0,1,0,0,0,2,1,0,1,0,2,1,2,0,2,1,0,1,2,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,2,2,0,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,2,0,0,1,0,1,0,1,1,1,0,2,0,0,2,1,2,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,0,2,1,1,0,0,0,0,1,1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,2,0,1,0,0,0,0,2,1,0,0,0,1,0,1,1,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,1,0,2,1,1,1,0,1,0,0,0,0,2,0,0,0,1,0,1,0,2,0,2,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,2,1,1,0,1,0,0,0,0,0,0,1,1,2,2,1,0,1,2,1,0,1,0,1,0,0,1,0,0,0,0,0,1,1,1,0,1,2,0,2,0,0,1,1,0,0,0,0,1,2,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0,1,2,0,0,0,0,1,0,1,0,0,0,0,2,2,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,1,1,1,2,0,0,0,0,2,0,0,0,0,1,1,2,0,1,0,0,0,0,1,0,0,0,1,2,1,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,2,0,0,2,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,1,0,1,1,1,1,2,1,1,0,0,0,0,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,1,2,0,0,0,1,1,2,0,1,2,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0,2,2,2,0,0,0,0,0,2,0,0,0,1,0,1,0,1,1,1,2,1,0,2,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,2,0,1,2,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,1,1,0,1,0,0,2,1,0,0,0,0,0,1,0,0,1,1,2,1,0,1,1,0,0,1,1,1,0,0,2,0,0,0,1,1,2,1,2,2,1,0,0,2,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,1,2,0,0,1,0,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,2,0,0,0,1,2,1,1,0,1,1,0,0,0,0,2,0,1,1,0,1,1,1,1,1,0,0,2,0,2,0,0,0,0,0,0,1,1,1,0,1,1,1,1,1,2,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,2,0,0,0,1,0,1,2,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,2,0,1,1,0,1,1,1,0,0,0,0,1,0,2,0,2,0,1,1,0,0,2,0,0,0,0,0,1,0,2,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,2,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,2,1,0,0,1,0,1,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,2,1,0,0,0,0,1,0,1,2,0,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,2,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,2,0,0,2,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,1,1,1,0,0,0,1,2,2,0,0,1,1,2,1,2,0,0,0,0,0,2,1,0,2,0,1,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,2,0,0 1,0,1,1,0,0,1,0,2,1,2,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,2,1,0,1,1,0,1,0,0,0,2,2,0,1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,2,2,1,0,0,0,0,0,1,1,0,2,1,0,1,0,0,1,0,0,0,0,1,0,2,1,0,1,1,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,2,0,0,0,0,0,2,1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,1,0,1,1,2,0,0,2,1,0,0,0,0,0,0,0,0,1,0,1,1,2,0,0,1,0,0,0,2,1,1,0,0,0,0,0,0,1,0,2,0,1,2,1,2,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,2,0,0,0,1,0,0,0,1,1,2,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,2,1,0,2,1,0,0,1,1,1,0,0,0,1,1,0,0,0,1,1,1,1,1,1,0,2,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,2,1,2,1,1,2,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,1,2,1,2,1,1,1,0,0,0,0,0,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,2,1,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,2,0,0,1,0,2,0,0,2,1,0,0,0,1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,1,0,2,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,2,0,2,0,0,2,0,1,0,1,2,0,1,0,0,2,0,0,2,1,0,1,2,0,1,0,0,2,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,2,1,1,0,0,2,0,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,1,1,1,1,1,0,2,0,0,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,1,1,0,0,2,0,0,0,2,0,0,0,1,0,1,2,0,1,0,0,2,0,0,0,1,0,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,1,0,1,0,1,2,0,2,1,0,1,0,0,2,0,0,0,1,0,1,0,1,0,1,0,2,0,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,2,0,2,1,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,1,1,0,1,2,0,0,1,0,1,1,1,0,1,2,0,2,2,1,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,1,2,1,0,1,1,2,2,0,0,0,0,1,1,2,0,1,0,0,1,0,1,1,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,2,0,1,1,0,1,1,2,0,0,0,0,1,1,1,0,1,0,2,0,0,0,1,1,0,1,0,0,1,1,1,1,1,0,1,1,0,0,1,1,2,0,1,1,1,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,2,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,2,1,2,0,0,0,0,0,0,1,0,1,0,1,2,0,1,1,0,0,0,0,0,1,2,0,1,0,0,0,0,0,1,0,1,0,1,0,0,1,1,2,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0 1,1,1,0,0,1,2,0,1,2,2,1,0,2,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,1,2,0,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,2,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,1,2,0,0,1,1,0,1,0,1,2,0,0,0,2,0,0,1,0,1,0,2,0,0,0,1,2,0,0,0,1,1,0,0,0,0,2,1,0,0,0,0,0,1,0,0,2,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,2,0,1,0,1,1,0,0,0,0,2,1,0,1,2,1,0,0,0,1,1,2,1,0,0,2,0,1,1,2,0,2,1,1,1,0,1,0,2,0,0,0,1,0,1,1,2,1,1,0,1,0,1,0,0,2,0,0,1,1,1,1,1,0,1,1,2,0,2,1,0,0,0,0,0,1,2,1,0,1,0,1,1,1,0,0,0,0,1,0,2,1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,2,1,1,0,0,1,1,0,0,0,0,2,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,2,2,1,1,0,0,0,1,0,0,0,2,1,0,0,1,0,1,0,0,1,2,0,0,1,0,0,0,0,0,2,0,1,0,1,0,0,0,1,0,1,2,1,1,1,0,1,2,0,1,1,0,1,0,0,0,0,0,1,2,1,0,0,0,1,1,1,0,0,1,0,1,2,0,0,0,0,0,1,0,0,2,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,2,0,0,0,2,0,0,1,1,0,2,0,0,0,0,1,0,2,0,1,1,2,1,0,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,2,0,1,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0,1,1,2,0,1,0,1,0,0,0,1,1,0,2,1,1,0,0,1,1,1,1,1,2,1,2,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,2,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,2,0,1,1,1,0,0,0,0,0,1,1,0,1,1,2,0,1,2,0,1,0,1,0,2,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,1,1,2,2,1,0,1,0,2,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,2,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,2,0,0,0,1,1,0,0,0,0,0,0,1,1,1,2,0,1,0,1,0,2,0,0,1,1,1,2,1,0,0,0,0,0,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,2,1,1,1,2,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,2,0,0,0,0,1,1,0,2,1,0,0,0,0,0,1,0,1,2,0,0,0,1,1,1,1,0,0,2,0,1,2,1,2,0,0,0,1,2,1,0,1,0,1,0,0,2,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,2,1,1,2,0,0,2,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,2,0,0,1,0,1,0,0,1,0,2,1,1,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,2,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,2,0 1,0,1,0,1,1,0,2,1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,1,1,0,1,0,1,2,0,1,0,1,0,1,0,1,1,2,0,0,2,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,2,0,0,1,0,0,2,1,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,2,1,1,0,1,0,0,0,0,2,0,1,0,1,1,0,1,1,1,2,1,1,0,1,0,0,0,1,0,1,0,0,0,0,1,1,2,1,1,2,0,0,0,2,1,1,2,1,0,0,1,0,0,0,1,0,0,1,0,0,0,2,1,1,1,0,2,0,0,0,0,1,0,0,1,0,2,0,1,0,0,1,1,0,0,0,2,0,0,0,0,2,2,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,1,2,0,0,0,0,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,1,1,0,1,0,1,0,2,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,2,1,2,1,1,1,0,2,1,0,0,0,2,2,1,0,0,0,0,1,0,2,0,0,1,0,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,2,0,0,1,0,1,1,1,0,0,0,0,1,2,1,0,1,0,0,0,1,2,1,0,0,2,0,0,1,1,0,0,0,0,1,0,0,2,2,0,0,1,0,1,1,0,0,1,1,0,2,0,1,2,1,1,1,1,0,2,1,0,1,2,1,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,2,1,1,1,1,2,1,1,1,0,0,0,1,1,0,0,0,0,1,0,2,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,2,1,2,0,0,0,0,0,1,1,0,0,0,2,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,1,1,0,2,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,2,0,0,2,1,0,1,0,0,0,0,0,1,0,2,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,1,1,1,0,1,0,0,2,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,2,1,1,1,1,0,1,0,0,1,1,2,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,2,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,1,0,0,0,0,1,1,0,2,1,0,0,2,1,2,0,0,1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,2,2,1,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,2,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,2,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,1,0,0,1,2,1,0,0,1,0,2,0,1,1,2,1,0,1,0,0,0,2,0,0,0,2,1,1,0,0,0,1,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0,1,2,0,1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,2,1,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,2,1,1,0,0,1,1,0,0,1,1,0,0,1,1,2,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,2,2,0,0,1,0,0,0,0,1,0,0,1,0,0,2,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,2,0,1,1,1,1,0 1,1,1,0,0,0,1,0,1,0,0,2,1,0,0,1,0,0,1,0,0,1,0,1,2,0,1,1,0,1,2,0,1,1,0,0,1,0,1,0,0,1,0,2,1,0,0,2,1,0,2,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,2,1,1,0,2,1,1,0,0,0,0,0,0,0,0,2,1,1,0,0,1,1,0,2,0,0,0,1,0,0,2,0,0,1,0,1,0,1,0,0,0,1,0,0,0,2,0,0,0,1,1,1,0,1,0,1,0,0,2,1,2,0,1,0,1,1,1,0,0,0,2,1,1,0,1,0,0,2,2,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,2,0,1,1,0,1,0,0,1,1,0,2,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,2,1,1,0,1,0,0,0,2,2,0,1,0,1,0,0,1,1,1,1,2,0,1,1,1,0,0,0,2,0,0,2,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,2,0,1,1,1,1,0,0,1,0,2,1,0,0,0,2,0,2,1,0,0,0,1,0,0,0,1,0,0,0,2,1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,2,0,0,1,0,1,0,1,0,0,1,0,0,0,1,2,2,2,2,2,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,2,1,1,1,1,2,0,1,0,1,0,0,2,1,1,0,1,1,2,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,1,1,2,1,0,0,1,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,1,1,2,2,0,1,0,0,1,1,0,0,1,0,2,0,0,0,0,0,0,0,1,0,1,0,0,2,2,0,0,0,0,1,1,1,0,1,2,0,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,2,0,0,0,0,2,1,2,0,0,0,0,0,1,2,0,1,1,0,0,2,1,0,1,1,0,2,0,0,0,0,1,2,0,1,0,0,1,0,0,0,2,1,2,2,0,0,1,1,2,2,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,1,2,1,0,1,0,0,0,2,0,1,1,0,0,0,1,0,2,1,2,2,2,1,0,0,0,0,1,1,0,0,0,2,0,0,2,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,2,0,1,0,0,1,0,2,0,1,0,1,0,0,0,0,1,1,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,2,0,0,0,1,0,2,0,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,2,1,1,2,1,0,0,0,1,2,1,2,1,1,0,1,0,1,0,2,0,1,0,1,0,2,0,2,1,0,1,0,2,1,0,0,2,2,0,1,0,0,1,1,0,1,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,0,0,1,1,1,0,0,0,0,0,1,2,1,0,1,1,1,1,0,1,1,1,1,1,0,0,0,1,1,0,1,1,1,0,1,1,1,2,0,0,0,0,1,2,2,2,1,0,0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,0,0,2,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,1,1,0,2,0,2,0,0,0,0,1,2,0,0,0,1,0,0,2,0,0,0,0,2,1,1,1,0 0,0,0,1,0,1,0,1,2,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,2,1,2,0,1,1,0,0,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,2,1,1,1,1,1,0,1,0,1,0,1,2,0,0,1,0,0,0,0,2,0,0,0,0,0,1,1,1,0,0,0,2,0,1,0,1,1,2,0,0,0,0,0,2,1,1,0,0,2,0,0,0,1,0,2,0,1,0,1,0,2,1,0,0,0,0,2,0,0,0,0,1,0,0,1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,1,0,0,2,0,0,1,0,1,0,1,1,0,0,0,0,2,0,1,0,0,1,1,0,1,0,0,0,0,0,2,1,0,0,0,0,0,1,1,1,2,0,0,1,1,0,0,0,1,0,0,0,2,0,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,1,0,1,0,0,1,0,0,1,1,1,1,0,1,1,0,0,0,2,0,0,1,0,2,0,2,1,0,1,1,2,0,0,1,1,1,1,0,0,0,2,0,1,0,0,0,0,0,0,1,1,1,1,1,0,2,1,1,2,0,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,2,1,0,2,0,2,0,0,2,0,0,0,0,0,0,1,0,1,0,2,1,0,1,0,0,0,1,1,0,1,1,0,0,1,2,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,2,0,0,0,1,2,1,0,0,2,0,1,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,2,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,2,1,0,1,0,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,2,2,1,0,0,1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,2,1,1,1,1,0,1,0,0,0,1,0,0,2,0,1,0,1,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,1,1,1,1,0,0,1,1,0,2,0,0,2,1,1,0,1,1,0,0,1,0,0,0,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,1,1,2,1,0,0,0,1,2,0,0,0,2,2,0,1,0,2,1,1,0,2,0,1,0,0,1,1,0,0,1,0,2,1,0,0,2,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,2,0,1,0,0,2,0,0,0,1,1,0,0,1,0,1,2,0,0,1,1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,2,0,0,0,0,0,1,2,1,0,1,1,2,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,2,1,0,0,1,0,0,2,0,2,1,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,2,1,0,0,0,1,0,0,2,1,0,0,0,1,1,1,1,0,0,0,2,0,2,2,0,0,1,0,0,0,0,2,0,1,1,1,1,2,1,2,1,0,2,0,1,0,0,1,1,0,0,1,0,0,1,2,0,1,2,0,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,2,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0,2,1,1,0,0,2,2,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0 0,0,1,2,1,0,1,1,0,1,0,0,0,2,1,1,0,0,0,0,0,0,1,0,2,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,2,2,0,1,1,1,0,2,1,0,0,2,0,1,1,1,0,0,0,2,0,0,0,0,1,2,0,1,0,0,0,0,1,1,2,0,1,0,0,1,0,2,2,0,1,1,1,2,1,1,0,1,1,1,0,2,0,0,1,1,0,0,1,0,0,1,2,0,0,0,0,0,1,0,2,1,1,0,2,1,1,0,0,1,1,1,1,0,0,1,2,0,0,1,0,2,1,0,0,0,1,0,1,2,0,0,1,1,0,0,1,2,0,0,0,0,0,0,1,0,0,2,1,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,2,0,1,0,1,0,1,0,0,1,1,2,2,1,0,0,0,2,0,1,1,0,0,0,1,0,0,1,2,1,1,0,2,2,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,2,1,2,0,1,2,1,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,2,0,0,0,1,1,0,1,0,1,0,1,2,1,0,1,0,0,0,1,1,1,2,0,0,0,0,0,1,1,0,0,0,1,1,2,0,0,0,1,0,1,1,2,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,2,1,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,2,1,2,0,0,2,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,1,0,1,0,1,1,1,0,1,2,0,1,2,1,0,0,1,1,0,2,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,2,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,2,0,0,0,2,1,1,0,1,1,1,0,0,0,2,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,2,1,1,0,0,0,0,1,0,0,0,1,1,1,0,2,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,2,0,1,0,0,0,1,2,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,2,0,0,1,2,1,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,2,1,2,0,0,2,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,2,2,0,2,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,2,1,0,0,2,0,1,0,2,0,1,0,0,0,1,1,0,2,0,0,1,0,0,0,1,0,0,2,1,0,1,1,1,1,0,1,2,0,0,0,1,0,0,0,2,2,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,1,2,0,1,0,2,0,0,2,1,1,1,0,1,0,1,0,0,1,1,1,0,1,1,2,0,1,0,0,0,0,0,0,0,1,2,0,1,1,1,0,0,0,0,0,2,2,0,1,0,1,1,1,2,0,0,0,0,0,0,0,0,0,2,1,1,0,0,1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,1,0,0,2,0,0,0,0,0,0,0,0,1,0,1,2,0,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,2,1,2,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,2,2,1,1,0,0,0,2,0,1,0,0,1,0,1,2,1,1,2,0,0,0,0,1,1,0,0,0,1,2,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,2,1,0,2,1,0,1,2,0,0,0,0,1,0,1,1,2,0,0,0,0,0,1,0,0,0,0,2,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0 1,0,0,0,0,0,1,0,0,1,0,1,2,1,1,0,1,0,1,0,0,1,1,1,1,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,1,1,2,0,0,0,0,0,1,0,2,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,1,1,0,0,2,0,0,0,1,0,2,2,0,1,1,1,0,0,1,1,1,1,0,1,0,0,1,1,1,2,1,1,1,0,0,0,0,0,2,0,1,0,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0,1,0,0,2,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,2,0,1,0,0,1,0,2,1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,2,1,0,1,0,0,1,1,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,1,2,0,1,1,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,2,1,0,0,2,1,1,2,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,2,2,0,0,0,0,1,1,0,0,0,1,0,0,0,2,0,0,0,0,0,2,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,2,0,0,1,1,1,0,0,0,1,1,0,1,1,2,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,1,0,0,0,1,0,0,2,0,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,2,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,1,1,2,0,2,0,0,0,0,0,1,1,1,0,0,0,0,2,0,2,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,1,1,1,2,0,0,0,1,2,0,0,1,0,1,1,2,1,1,0,0,0,0,1,1,1,0,1,0,1,0,1,0,1,1,2,0,2,1,1,1,1,1,1,1,0,1,0,0,2,0,2,0,1,2,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,1,2,0,1,1,1,0,0,0,0,0,0,0,0,2,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,1,2,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,2,0,1,1,0,0,0,1,0,0,0,1,1,0,1,2,0,0,1,0,0,2,2,1,0,0,0,0,0,1,0,1,1,1,0,2,1,0,1,0,0,0,0,1,1,1,0,0,0,1,1,2,0,1,0,0,1,0,2,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,2,0,1,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0,1,1,0,1,2,0,1,0,0,1,0,0,1,0,1,0,1,2,0,1,0,0,0,2,0,0,2,1,1,0,2,0,1,1,0,0,0,0,0,0,0,1,2,1,0,0,1,0,0,1,0,1,0,0,2,0,1,1,1,1,0,1,1,0,1,1,0,2,1,0,0,0,0,0,0,1,2,2,1,1,2,1,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,0,2,0,0,1,0,2,0,1,1,1,1,1,0,0,0,2,0,0,0,1,2,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,1,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,2,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,2,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0 2,0,1,0,1,0,0,0,1,0,1,0,0,1,2,1,0,0,0,0,1,0,1,1,1,1,2,0,1,0,1,0,1,0,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,2,1,1,0,1,1,0,0,0,2,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,2,1,1,0,0,1,0,2,1,0,0,1,0,2,0,2,0,1,1,0,0,2,0,0,0,0,0,2,0,0,1,0,1,0,1,2,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,2,1,2,2,0,1,1,0,1,0,0,2,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,1,0,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,1,2,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,2,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,2,1,2,1,1,2,0,1,1,1,0,1,0,0,2,0,0,1,1,0,2,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,2,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,2,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,2,0,0,1,0,1,0,1,0,1,0,0,0,0,1,1,0,2,0,1,0,1,1,0,0,1,0,2,0,0,0,0,0,1,1,0,1,0,0,0,1,0,2,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,2,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,1,2,0,1,0,2,0,1,0,0,0,1,2,0,1,0,1,0,0,0,2,0,0,1,1,0,0,0,0,0,0,1,1,2,0,1,0,0,1,1,0,0,2,2,0,0,1,0,0,1,0,1,1,2,1,1,1,2,0,2,0,0,0,0,0,2,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,2,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,0,2,0,1,1,0,1,1,0,0,1,1,0,1,1,0,1,2,1,1,0,1,1,0,2,1,2,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,1,1,1,1,2,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,2,0,0,1,0,0,2,0,0,1,0,1,2,2,1,0,0,1,0,0,0,0,1,2,0,2,1,1,0,0,0,0,2,0,2,0,0,0,1,0,1,2,1,0,0,1,2,1,1,0,0,1,0,0,0,0,0,0,2,2,1,2,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,1,1,1,1,2,0,0,0,1,2,0,0,1,0,0,0,0,1,0,1,0,1,1,2,0,1,1,2,0,0,2,2,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,1,2,0,0,0,0,0,0,1,0,0,0,0,2,0,2,1,2,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,2,0,0,0,0,0,0,0,0,1,1,0,1,1,0,2,0,0,0,0,1,0,0,1,0,0,0,1,0,0,2,0,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,2,0,1,1,0,0,0 1,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,1,1,1,2,1,0,1,0,0,0,1,2,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,2,1,0,0,0,0,1,1,0,1,1,0,1,0,1,2,1,1,0,1,0,0,0,0,1,1,1,1,1,0,0,0,2,1,0,0,1,0,0,0,1,0,2,1,0,1,1,2,0,0,0,1,0,1,1,2,0,2,0,1,1,1,0,0,1,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0,1,2,1,0,0,0,1,0,1,1,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0,1,0,2,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,2,1,2,2,1,0,0,0,0,2,0,1,0,1,1,0,0,0,0,0,1,0,2,2,1,2,0,1,0,2,0,0,0,1,1,1,0,0,2,0,1,0,1,0,0,0,0,1,1,0,0,0,0,2,1,0,1,1,0,0,0,1,2,2,1,0,0,0,0,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,1,2,2,0,0,1,1,0,2,0,0,1,0,0,0,0,0,0,2,1,0,1,0,2,2,0,0,0,1,0,0,0,2,1,0,0,0,1,1,0,0,2,1,1,1,0,1,0,1,0,2,0,1,0,1,2,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,2,0,0,1,0,1,0,0,0,1,1,0,1,2,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,1,1,2,0,0,0,0,0,0,1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,2,0,1,0,0,2,1,1,0,1,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,2,0,0,0,0,2,0,1,0,0,0,0,0,0,2,1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,2,0,1,1,0,0,1,1,0,0,1,2,0,0,0,0,1,0,1,1,0,0,0,1,0,2,0,0,0,1,1,0,1,0,1,0,1,1,0,2,1,0,1,2,0,2,0,1,1,0,2,0,0,0,1,0,0,0,0,1,1,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,1,2,0,0,0,1,2,1,0,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,0,2,1,0,2,0,1,1,2,0,1,1,1,1,1,1,1,2,2,1,1,0,0,1,0,2,1,1,1,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,1,1,0,0,1,0,1,0,2,0,0,1,0,0,0,1,0,0,1,0,0,1,0,2,1,0,2,0,0,0,2,0,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,1,2,0,1,0,0,1,2,1,1,0,1,2,1,0,0,0,1,0,1,2,2,1,0,2,2,0,1,1,2,0,0,0,0,1,1,0,1,1,1,1,0,0,2,1,0,0,1,0,0,0,0,1,0,2,2,1,0,0,0,0,1,2,0,2,0,0,0,0,2,1,0,0,0,2,0,2,0,0,0,1,1,1,0,1,0,1,0,0,2,0,1,0,0,0,1,0,0,0,0,0,2,0,2,1,0,0,0,0,0,2,0,1,1,1,0,0,2,1,0,1,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,2,0,0,0,0,1,2,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1,2,1,1,0 0,0,2,0,1,0,1,1,1,0,1,1,0,2,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,2,1,0,1,0,2,0,2,0,1,0,0,2,1,0,2,0,1,0,0,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,2,0,1,1,1,2,0,1,0,0,1,1,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,2,1,0,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0,0,0,2,0,0,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,2,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,1,1,2,1,0,2,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0,1,2,0,1,0,2,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,2,0,0,1,0,2,0,0,1,1,2,2,2,0,1,0,1,0,0,1,1,1,0,0,2,0,1,1,0,0,0,2,0,0,1,1,0,0,0,2,2,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,1,2,0,0,1,2,1,0,2,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,2,0,0,0,0,1,1,2,0,0,0,0,2,0,1,0,0,1,2,2,0,0,0,1,0,0,1,2,2,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,2,2,2,1,0,1,0,1,0,1,1,0,0,1,0,0,2,0,1,0,0,0,0,0,1,1,2,0,0,1,0,1,0,1,1,0,1,0,1,2,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,2,0,2,1,1,0,0,0,1,1,0,0,1,2,0,0,1,0,1,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,1,0,1,0,1,2,0,1,0,2,1,1,2,2,0,0,0,0,0,0,1,0,2,2,0,0,1,0,0,0,2,2,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,1,0,1,2,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0,2,0,1,2,0,1,1,0,1,0,0,0,0,2,0,1,1,1,0,2,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,2,1,0,2,1,1,2,1,1,0,0,1,0,1,1,2,1,1,0,0,2,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,2,0,1,0,0,1,2,0,0,0,0,1,1,2,1,1,0,2,0,0,1,0,2,2,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,2,1,2,0,0,0,2,1,0,1,0,0,0,0,0,1,1,1,0,2,1,0,1,1,1,0,0,1,0,0,0,1,0,0,2,1,1,0,0,0,0,0,0,0,2,2,0,0,0,1,0,2,1,1,0,0,1,1,0,1,0,2,0,0,0,0,0,0,2,1,0,0,0,2,1,1,0,1,1,0,1,1,2,2,1,1,2,0,0,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,2,0,0,1,0,1,0,2,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,2,0,2,1,2,0,1,2,2,0,0,1,1,0,0,2,2,2,1,1,0,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,2,1,1,0,1,1,0,2,0,0,0,0,0,0,1,0,0,1,1,1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,1,2,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0 1,0,2,1,0,0,0,0,1,0,1,1,1,2,1,0,1,1,0,0,0,0,0,0,0,1,1,2,1,1,0,0,1,0,1,0,1,1,0,0,1,2,0,2,1,1,0,2,0,0,2,0,0,0,1,0,0,1,1,1,1,0,1,0,1,2,0,1,1,0,2,0,1,1,0,0,0,2,0,0,0,0,0,1,0,1,1,0,0,0,2,2,0,0,0,2,1,0,2,0,1,1,2,2,1,1,0,0,0,0,1,1,0,0,0,1,0,1,2,2,2,0,0,0,0,0,1,0,1,1,2,1,0,1,0,0,0,1,0,1,2,0,0,0,2,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,1,2,0,0,0,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,1,1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,2,1,0,1,0,0,1,0,2,1,0,0,2,1,0,0,0,1,0,2,2,0,0,0,1,0,0,0,1,2,1,0,0,1,1,2,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,2,0,0,1,0,1,0,1,0,0,1,1,1,1,1,1,0,0,0,1,2,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,2,1,0,1,0,1,0,0,1,1,0,2,1,1,2,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,2,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,2,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,2,0,0,2,0,1,0,1,1,1,0,1,1,1,0,1,1,2,0,0,1,0,2,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,2,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,1,0,2,0,1,0,1,1,0,0,2,0,1,0,1,0,1,1,0,0,0,0,0,1,2,1,1,0,1,1,1,0,0,1,0,2,0,1,0,2,0,1,1,2,2,0,0,2,2,0,0,1,1,1,2,0,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1,1,0,0,0,1,0,1,2,0,1,2,0,2,2,0,0,2,1,0,1,0,0,0,0,2,0,0,0,1,0,2,0,0,0,1,0,1,1,2,1,1,1,1,0,2,1,1,0,1,0,0,1,0,2,0,1,0,2,0,2,2,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,2,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,2,0,1,0,0,1,1,2,0,0,0,0,0,1,0,0,1,0,0,2,1,2,0,0,1,0,0,0,0,0,2,1,1,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,1,1,2,0,0,1,1,1,0,1,1,0,2,0,1,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,1,0,1,1,0,0,1,1,0,0,2,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,2,0,1,0,1,0,1,2,2,0,0,1,0,0,0,0,2,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,1,0,2,0,2,0,0,1,0,1,0,0,1,2,1,0,0,1,1,0,0,0,1,1,0,2,1,2,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,1,0,1,2,0,0,1,0,1,0,1,2,0,0,2,2,1,0,1,0,0,0,0,0,1,0,1,0,0,2,0,2,2,1,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,0,1,1,0 2,0,1,2,0,0,1,0,0,1,0,1,0,0,1,2,0,1,0,1,0,2,2,0,0,0,0,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,2,0,1,0,1,1,0,0,0,1,0,0,0,1,2,0,0,0,0,0,1,0,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,0,1,1,2,0,0,0,0,2,2,0,1,0,0,0,1,2,2,0,1,0,0,1,0,1,1,2,1,2,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,2,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,2,0,0,0,1,1,0,2,0,1,1,2,0,1,0,1,0,0,0,1,0,0,0,0,0,0,2,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,2,0,0,0,0,2,0,1,1,0,1,1,2,0,1,1,0,0,1,2,0,0,0,1,0,1,0,1,1,2,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,2,0,0,1,1,0,0,2,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,1,1,0,2,2,1,0,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0,2,0,0,0,0,2,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,2,1,0,0,1,0,0,2,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,1,1,1,2,0,0,0,0,0,0,0,1,0,1,0,0,0,1,2,0,2,0,0,0,0,0,0,0,0,1,1,1,0,1,1,0,1,0,2,0,1,0,1,1,0,0,2,0,0,1,1,0,0,1,1,1,1,1,2,1,1,0,0,0,1,2,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,2,1,0,0,0,2,0,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,1,0,2,0,2,0,0,0,0,0,1,2,1,2,1,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,2,2,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,2,0,0,1,1,0,2,0,1,0,2,1,0,1,0,0,0,1,2,0,0,0,0,2,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,1,0,0,0,2,0,0,0,0,0,2,0,2,0,1,0,0,0,1,0,0,1,1,1,0,0,1,2,1,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,1,1,1,0,2,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0,1,0,2,1,1,0,0,0,1,0,0,1,1,1,1,1,0,1,0,1,0,2,1,0,0,0,0,2,0,0,1,1,1,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,2,1,0,1,0,2,0,0,0,1,1,1,1,0,1,1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,2,0,0,1,1,0,0,0,0,1,1,2,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,2,0,0,1,0,2,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,2,0,1,1,2,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,2,1,0,0,0 2,0,0,2,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,2,0,1,0,1,0,0,1,0,0,1,2,0,0,0,2,1,1,0,0,0,0,0,0,2,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,1,0,0,1,2,0,0,0,1,0,0,1,0,0,2,0,1,1,1,0,0,0,2,0,0,1,0,0,1,0,0,1,0,0,2,1,1,0,0,0,1,1,0,2,0,0,1,0,1,0,1,2,0,0,0,0,2,2,1,0,1,0,0,2,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,0,1,0,0,0,0,0,0,0,1,1,2,0,0,0,0,1,2,0,1,1,0,0,0,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,2,0,0,0,0,1,0,2,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,2,0,1,1,0,2,2,0,0,2,0,0,0,0,0,1,0,0,0,1,0,1,1,1,2,0,1,0,1,1,0,1,0,0,0,0,2,1,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,2,0,0,2,0,0,0,1,0,0,2,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,1,0,1,1,1,2,0,1,1,1,1,1,0,0,0,0,0,0,2,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,1,1,1,2,0,0,0,1,1,1,0,1,1,1,0,0,2,0,0,0,0,1,1,0,0,0,1,0,1,0,1,2,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,0,2,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,1,1,1,0,2,0,0,0,2,1,1,1,1,2,0,1,1,0,0,1,0,0,0,0,2,0,1,1,2,0,1,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,2,0,1,1,1,0,0,0,0,1,1,2,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,1,2,0,1,1,0,0,1,0,1,0,0,1,2,2,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,2,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,1,1,0,1,2,1,2,1,0,0,2,0,2,1,1,0,0,0,0,1,0,1,0,0,1,1,0,1,2,1,2,1,1,2,0,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,2,0,1,0,2,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,1,0,0,1,0,2,0,1,0,2,1,1,0,0,1,1,0,1,2,1,0,1,2,1,1,1,0,0,2,0,0,2,0,1,2,1,0,0,0,0,0,1,2,0,1,1,0,1,0,0,1,2,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,2,1,0,0,0,1,2,0,0,1,0,0,0,1,2,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,2,1,0,1,0,1,0,1,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,1,2,1,0,0,1,0,0,0,2,1,1,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0,1,1,1,1,0,0,0,1,0,2,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,2,0,0,2,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,2,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,1,0,0 1,0,2,1,2,0,1,2,0,0,0,1,1,1,1,0,0,0,0,0,0,0,2,1,0,1,2,2,0,0,2,0,1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,2,0,1,0,0,1,0,1,1,2,0,1,0,0,0,0,0,0,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,2,1,0,2,2,0,0,1,1,1,0,0,0,0,1,1,0,0,0,2,0,0,1,0,0,1,0,1,1,2,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,0,2,0,0,1,0,1,0,0,1,0,0,1,1,1,1,0,2,1,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,2,0,0,1,1,0,1,1,1,0,0,1,0,0,1,2,1,1,1,0,2,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,2,0,1,1,0,0,1,1,0,0,0,2,0,0,0,1,1,1,2,1,0,1,0,1,0,0,2,1,0,0,0,1,2,1,1,0,0,0,1,0,0,1,0,0,0,1,1,1,0,0,0,1,2,1,2,1,1,0,2,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,2,1,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,1,0,1,0,1,1,2,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,1,2,0,1,2,2,0,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,2,0,1,0,2,2,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,2,0,1,0,1,1,2,1,1,1,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,2,1,2,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,2,0,0,0,0,1,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,2,0,0,0,0,1,1,1,1,1,1,2,0,1,1,2,1,1,0,0,1,2,1,0,1,2,0,1,1,1,1,1,1,0,2,2,1,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,2,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,2,1,2,2,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,1,0,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0,2,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,1,0,1,1,1,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,2,1,1,0,1,2,0,0,0,1,0,0,0,1,0,2,2,0,1,0,2,1,0,0,0,1,2,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,2,1,0,1,0,0,0,0,0,1,1,1,0,0,1,1,0,1,0,0,1,2,1,1,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,1,1,0,2,0,1,0,1,0,0,1,2,0,0,0,1,0,0,1,0,0,0,2,1,0,0,0,0,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,2,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,2,1,1,0,0,2,0,0,1,0,2,1,0,1,1,2,1,2,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0 1,0,1,0,0,0,0,1,0,2,2,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,2,0,0,0,1,0,1,0,1,0,1,1,0,1,2,2,0,2,1,0,1,0,1,0,1,0,0,0,0,1,2,0,1,2,0,0,1,0,0,1,0,2,2,0,1,0,1,1,0,0,0,2,0,1,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,1,1,0,2,0,1,2,2,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,2,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,2,2,0,1,1,0,0,0,2,1,1,0,1,0,1,2,2,1,0,1,1,0,0,0,0,0,0,1,1,1,2,0,1,0,1,1,0,0,2,2,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,2,1,2,0,1,0,2,0,1,2,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,2,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,2,0,0,1,1,0,1,1,0,0,0,1,1,2,2,0,2,0,0,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,1,1,1,0,0,2,1,1,0,1,0,0,1,0,2,0,1,0,1,1,0,0,0,0,1,1,1,0,1,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,1,1,1,0,2,0,1,0,0,0,1,0,0,0,0,0,1,0,0,2,1,0,0,0,2,0,1,1,0,1,1,1,1,0,1,0,2,0,0,1,1,1,0,1,0,1,0,2,1,0,2,0,1,0,0,1,2,0,0,0,0,0,0,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,2,0,0,0,1,1,1,0,1,1,1,0,2,1,0,0,1,0,0,1,0,0,1,0,1,0,2,0,0,0,0,0,2,1,1,1,0,1,1,0,0,2,0,0,0,1,0,2,0,1,0,0,2,0,0,1,0,0,0,0,0,1,1,1,1,1,0,0,0,2,0,2,0,1,2,1,0,1,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,2,2,1,0,0,1,0,1,0,0,1,2,1,0,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,2,0,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,1,1,1,0,2,1,1,0,1,0,0,0,1,1,0,0,1,2,0,1,1,0,1,2,1,0,0,1,1,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,2,1,0,0,0,1,1,0,1,1,0,2,2,1,1,1,1,1,1,0,0,0,2,1,0,0,1,0,2,1,0,0,0,2,1,0,0,0,0,1,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,2,1,0,0,1,1,0,0,0,1,1,1,2,1,1,2,0,1,0,2,0,0,1,0,1,2,0,1,1,1,0,1,1,1,0,0,1,0,0,1,1,2,2,1,0,2,0,0,0,1,0,2,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0,1,1,2,1,2,1,0,1,1,1,0,1,1,2,1,0,0,2,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,1,2,2,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,2,0,0,0,1,1,2,0,0,2,0,0,0,0,1,1,0,1,0,0,1,2,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0 1,0,0,1,1,0,1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,1,1,0,1,2,1,1,0,1,2,0,0,2,0,0,2,0,0,0,1,0,2,1,0,0,0,1,0,0,1,1,1,0,0,0,0,2,1,2,1,0,0,1,0,1,0,2,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1,2,1,0,0,0,1,2,0,1,0,0,0,0,0,0,1,1,0,1,1,1,0,0,1,1,0,2,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,2,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,2,0,0,0,1,0,1,0,0,1,1,1,1,0,1,0,1,1,1,1,0,1,2,0,2,1,0,2,0,0,1,0,0,1,0,0,0,1,0,0,1,1,0,2,1,0,0,0,0,0,2,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,2,1,0,0,2,0,1,1,2,2,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,2,2,2,2,0,1,0,0,1,0,1,1,1,0,1,0,1,0,1,1,2,2,0,0,0,1,1,2,0,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,1,1,1,1,0,1,0,2,0,1,0,1,0,0,2,0,0,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,1,1,1,2,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,1,0,1,2,1,0,1,0,1,1,1,0,0,0,0,1,2,0,1,1,1,0,0,2,1,0,1,0,0,1,0,0,1,0,0,0,0,1,1,1,1,1,2,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0,2,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,0,0,0,2,0,0,1,0,0,2,0,0,0,1,0,2,1,0,1,0,0,1,2,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,2,0,2,0,0,1,0,1,0,1,2,0,1,0,0,0,0,1,1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,1,1,2,0,1,1,2,0,2,2,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,2,0,1,0,0,1,1,2,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,2,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,2,1,1,0,1,0,0,0,1,0,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,2,0,0,2,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,2,0,1,0,1,1,0,0,1,1,0,1,0,0,0,2,2,1,1,1,1,0,1,1,1,0,1,0,0,1,0,2,1,2,1,1,0,0,1,0,1,0,0,0,1,2,0,0,0,1,1,0,0,1,0,0,0,2,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,2,1,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,2,2,0,0,0,2,0,0,2,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,2,0,0,2,0,0,1,0,0,0,0,1,0,1,1,2,2,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,1,2,2,2,0,0,0,2,0,0,0,0,0,0,1,0,1,0,1,2,0,0,0 1,0,1,0,1,1,1,0,2,0,1,1,0,2,1,0,0,1,0,0,0,0,0,0,1,1,0,2,1,1,0,0,1,1,0,0,1,0,0,0,1,0,2,0,1,1,0,2,0,0,1,0,0,0,2,0,2,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,1,1,1,2,0,0,0,2,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0,0,2,0,1,0,1,0,0,2,0,2,1,0,1,0,0,0,0,0,0,0,1,1,0,2,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,1,1,2,1,0,1,2,0,1,0,0,0,1,0,0,2,1,0,1,0,0,0,0,1,1,0,0,0,2,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,0,2,0,1,0,1,0,0,2,0,1,0,1,0,1,2,0,0,0,2,1,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,2,2,0,0,0,1,2,0,0,0,1,0,1,1,1,1,2,1,0,0,1,2,2,0,0,0,0,2,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,1,1,1,0,1,1,2,0,0,0,0,1,0,0,0,0,0,0,1,2,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,1,2,0,0,0,0,0,1,2,0,1,1,0,0,1,0,0,0,1,1,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,2,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,2,0,1,0,2,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,2,2,0,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,2,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,1,0,2,1,2,0,1,1,1,0,0,1,0,1,1,0,1,0,0,1,2,0,0,0,1,0,0,1,2,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,2,0,0,0,2,1,0,0,2,0,0,0,2,0,1,1,1,0,2,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,1,1,2,1,1,1,1,0,1,0,1,1,2,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,2,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,2,2,0,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,0,0,1,2,0,0,1,1,0,1,0,1,0,0,0,0,1,0,1,2,0,0,0,0,0,2,0,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,2,0,0,1,0,0,0,0,2,2,1,0,1,2,1,0,1,1,0,0,0,0,1,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,2,2,1,1,1,0,0,2,1,1,0,1,0,0,0,0,0,2,0,2,0,2,2,1,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0 1,0,1,1,0,0,0,1,0,2,1,2,0,1,1,1,0,2,0,0,1,1,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,1,0,1,1,1,0,0,0,2,0,1,1,1,2,0,0,0,1,0,1,0,1,1,0,2,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,2,2,2,1,1,0,0,2,0,0,1,0,1,0,1,1,0,1,0,1,2,1,1,0,0,0,1,0,0,2,1,2,1,1,0,1,0,0,0,1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0,2,1,0,0,0,1,1,0,1,1,1,1,1,1,2,0,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,2,0,0,0,2,0,2,1,1,0,0,1,0,0,0,1,0,2,0,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,2,1,0,0,0,1,0,1,0,0,0,1,1,1,1,0,2,0,2,1,2,0,0,0,0,1,1,0,2,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,2,0,1,0,2,0,0,1,0,1,0,1,1,1,1,0,1,0,2,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,2,0,2,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,2,0,1,0,0,0,2,0,1,0,1,0,0,1,0,0,1,0,0,0,2,0,0,0,0,2,2,0,1,0,0,0,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,2,1,2,0,0,1,0,0,0,0,2,0,1,1,2,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,1,0,2,1,0,1,0,0,0,0,0,0,1,2,0,0,0,0,1,1,1,0,1,0,0,0,2,0,0,0,1,2,2,0,0,0,0,1,0,0,1,0,0,0,0,0,2,1,0,1,0,0,2,1,0,1,0,1,0,0,1,2,1,0,2,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0,2,0,2,0,0,2,0,1,0,2,1,0,0,2,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,2,0,0,0,2,1,0,1,1,1,2,0,0,1,1,1,2,0,0,0,1,1,0,1,0,1,1,2,0,1,0,1,1,0,0,0,0,0,0,2,0,2,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,2,0,0,1,1,0,0,1,0,0,1,1,1,2,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,0,1,1,0,1,1,0,0,2,2,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,2,0,0,1,0,0,1,1,0,1,1,0,0,0,1,2,1,1,1,0,2,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0,1,2,0,1,0,1,1,0,1,1,0,1,2,2,1,1,2,1,1,2,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,2,1,0,1,0,0,0,0,1,0,1,1,0,0,0,2,1,0,1,1,2,1,0,0,2,0,0,0,0,2,0,0,0,1,0,0,1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,2,1,0,0,0,1,1,1,1,1,1,0,0,0,1,0,1,1,1,1,0 0,0,2,2,1,0,2,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,1,1,2,1,1,1,0,0,1,0,0,1,1,0,2,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,2,1,1,1,2,0,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,2,1,2,1,2,0,0,0,0,0,0,2,2,0,1,0,1,0,1,2,1,1,0,0,1,1,1,1,1,1,1,0,1,0,1,1,0,0,2,0,0,0,1,1,0,1,1,1,0,2,0,0,0,0,2,0,0,0,0,1,2,2,1,2,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0,1,1,1,1,1,1,1,0,0,1,2,0,2,0,1,1,1,1,0,0,1,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,2,0,1,1,0,0,1,1,2,1,0,0,0,1,1,0,2,0,0,0,0,0,0,0,1,0,1,1,0,2,1,0,0,1,2,2,1,0,0,1,2,0,1,0,0,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,2,2,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,2,1,0,0,0,1,1,1,0,1,1,0,1,2,1,0,1,0,1,1,1,1,1,1,1,0,2,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,1,0,2,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,1,1,0,1,1,1,2,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,1,1,2,1,0,1,2,0,0,0,0,0,0,1,2,0,1,2,0,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,2,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,2,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,1,0,1,1,1,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,2,0,0,0,0,0,1,0,2,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,1,0,1,2,0,1,0,1,1,1,0,2,1,0,1,0,0,1,2,0,2,1,1,1,1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,2,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,2,1,1,0,1,0,0,0,1,0,1,0,1,1,0,1,1,1,1,1,0,0,2,0,1,1,0,0,0,1,1,2,1,1,0,2,0,1,0,0,1,1,1,2,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,2,0,0,0,2,1,0,0,0,1,0,0,0,0,0,1,2,0,1,0,0,2,1,2,0,2,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,2,0,0,0,1,0,1,0,0,2,1,0,0,0,0,0,1,0,0,2,0,1,1,0,1,1,0,1,1,0,0,2,0,2,2,1,0,2,0,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0,1,2,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,1,1,1,0,0,2,0,0,1,1,1,0,0,1,0,0,0,1,0,2,2,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0,1,2,2,2,0,0,2,1,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,1,0,1,0,0,1,0,0,0,0,1,1,1,0,0,1,0,2,1,0,1,1,0,0,2,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,0,0,2,0,0,1,0,1,1,1,1,0 1,0,1,0,0,1,1,1,0,0,0,1,0,0,1,1,0,2,0,0,0,0,0,0,2,1,2,0,1,2,1,0,1,0,0,0,1,2,0,0,2,2,0,2,2,1,0,1,1,1,2,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,1,2,1,0,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0,2,0,0,1,0,1,0,1,1,0,0,0,1,2,0,1,0,2,0,0,2,0,2,2,0,1,0,0,1,1,1,0,1,1,0,1,1,0,0,1,1,0,1,0,1,0,1,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,1,0,1,0,2,1,1,2,0,1,1,0,0,0,2,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,2,1,1,2,2,2,0,2,0,1,1,0,0,2,0,0,1,2,0,0,0,1,0,0,1,0,1,1,1,0,2,1,1,0,1,2,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,1,2,1,1,0,1,1,0,0,2,0,0,1,0,1,1,0,1,1,2,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,2,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,2,0,1,1,0,2,0,1,1,0,0,0,1,1,0,1,0,0,0,0,2,0,1,0,0,0,0,0,1,1,2,0,0,2,0,2,0,0,0,0,0,1,1,0,0,0,0,1,2,1,1,1,1,0,1,2,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,1,2,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,2,1,0,0,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,2,1,1,2,1,2,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,1,1,0,1,1,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,2,1,2,1,0,0,0,1,2,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,1,0,1,0,2,0,1,0,1,2,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,1,0,1,0,2,0,0,1,2,1,0,2,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,2,1,0,1,1,1,0,1,2,1,2,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,2,0,0,2,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,2,0,1,0,1,1,2,0,1,1,1,0,0,1,0,1,0,1,1,1,0,0,1,2,0,0,0,0,1,0,1,1,0,0,2,1,0,2,0,0,2,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,2,0,1,0,0,0,1,0,0,0,0,0,0,2,1,1,2,0,2,0,0,1,0,0,1,0,1,2,1,0,1,1,1,0,0,0,2,0,0,0,0,1,2,0,2,0,0,1,0,0,1,0,0,2,0,0,0,0,0,2,2,0,1,0,0,0,0,0,2,1,1,0,1,1,0,0,1,0,0,0,0,1,1,1,1,0,0,2,1,0,0,0,0,1,1,1,0,1,1,1,0,1,1,1,0,1,1,1,0,2,1,0,0,0,2,1,0,0,0,0,1,1,0,0,1,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,1,1,0,0,1,1,1,0,2,1,1,1,2,0,0,1,0,0,0,1,1,0,1,0,0,2,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,2,0,1,0,2,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,2,0,1,2,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0 2,0,1,1,0,0,0,2,2,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,2,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,1,0,2,1,1,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,1,2,0,1,1,0,0,1,0,2,1,0,0,1,1,2,0,2,0,1,0,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,0,0,1,1,1,0,1,1,2,0,2,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,1,0,1,1,0,2,0,0,0,0,0,0,2,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,2,0,1,0,1,0,2,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,0,2,1,1,2,0,1,0,0,1,0,0,2,0,0,0,0,1,0,1,1,0,1,0,0,1,1,2,0,0,0,0,1,0,1,1,0,0,0,0,1,0,1,0,0,0,1,2,1,1,0,0,0,0,2,0,1,1,0,0,2,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,2,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,2,1,2,2,0,0,1,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,1,1,2,0,0,1,2,2,0,1,0,1,0,1,2,0,1,0,0,1,1,1,1,0,0,0,2,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,1,2,2,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,1,0,1,0,0,1,0,0,0,1,0,1,0,1,0,2,0,2,1,0,1,2,1,0,1,1,2,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,2,0,2,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,2,0,2,0,1,0,1,0,1,2,1,0,1,1,0,1,2,0,2,0,1,1,0,0,1,0,2,1,0,0,0,1,0,0,1,0,0,1,1,1,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,2,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,2,0,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,1,1,1,1,1,1,0,0,1,2,1,0,1,1,2,1,1,1,0,0,0,2,0,0,2,2,0,2,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,2,0,0,0,1,2,1,1,0,2,2,0,0,1,1,0,1,1,0,1,0,1,1,2,1,0,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0,2,0,1,1,1,1,1,0,0,0,0,1,1,0,0,2,1,0,0,0,1,0,0,0,1,0,0,1,2,2,1,0,1,2,1,1,1,0,0,0,0,2,1,1,2,1,0,1,1,1,0,2,1,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,2,1,0,0,1,1,1,0,0,1,1,0,0,0,0,2,1,1,0,1,2,0,0,2,0,1,0,0,0,1,1,1,2,1,2,1,1,0,1,2,0,0,0,2,0,0,1,0,0,1,1,0,0,0,0,1,2,0,2,1,0,0,1,2,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,2,0,0 0,0,2,2,1,1,1,1,1,0,0,1,0,0,1,0,0,2,0,0,0,0,1,1,1,0,1,1,1,0,2,0,1,0,0,0,1,1,1,0,0,0,0,2,0,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0,0,0,1,1,0,1,1,1,1,1,2,0,1,1,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,2,0,0,0,0,0,2,0,2,0,0,1,0,0,0,0,1,1,0,0,0,1,0,2,1,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,2,0,0,0,0,1,1,1,0,0,1,1,0,1,0,1,0,0,2,1,0,1,1,2,1,0,0,0,0,0,0,2,1,0,1,0,0,0,0,2,0,0,0,1,2,0,1,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,2,1,2,1,0,1,2,2,2,1,1,0,0,1,0,2,0,0,0,0,0,1,1,0,1,0,1,2,0,0,0,0,2,0,0,1,0,1,1,1,0,2,0,0,2,0,1,1,2,1,0,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,2,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,2,0,1,2,1,1,0,0,0,2,0,0,1,1,0,0,0,1,0,0,0,0,2,1,0,0,1,1,0,0,0,0,0,0,1,1,1,1,1,1,1,2,0,0,1,0,0,2,1,1,0,2,2,1,0,1,0,1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,1,0,1,0,1,2,0,0,0,0,1,1,0,0,2,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,2,2,2,0,1,0,1,0,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1,1,2,0,0,0,0,1,0,0,1,2,0,1,0,1,0,1,1,1,0,1,0,1,0,2,1,0,1,0,2,2,1,0,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,1,1,0,0,1,0,2,2,0,1,1,0,0,1,1,0,2,1,0,0,0,0,1,1,0,1,0,0,0,1,0,2,0,0,0,0,0,0,1,0,0,0,0,2,1,0,1,2,0,0,0,0,0,1,0,1,1,0,0,1,0,0,2,0,1,0,2,1,0,0,1,0,0,1,1,0,1,0,0,0,2,0,0,1,0,2,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,1,0,1,2,0,0,1,0,0,0,0,1,0,2,1,0,0,0,0,1,0,0,1,2,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,2,1,1,2,0,1,0,2,1,1,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,2,2,0,0,2,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,2,1,1,0,0,0,1,0,2,0,0,0,0,2,0,0,0,1,0,2,1,2,0,1,1,1,0,1,2,0,0,0,0,0,1,1,0,1,0,1,2,0,0,2,0,1,0,0,0,0,0,0,2,0,1,2,1,0,0,1,2,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,0,1,2,0,2,2,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,1,2,0,0,0,1,2,0,0,1,2,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,1,1,2,0,0,2,0,1,1,0,0,1,0,0,0,0,0,0,2,0,0,2,0,1,2,0,2,0,0,0,0,0,1,0,0,0,0,1,0,0,2,1,2,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0 2,0,2,1,0,0,0,2,2,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,2,1,1,0,0,0,0,1,1,1,0,0,0,0,1,1,2,0,0,0,0,0,1,1,0,1,0,0,2,0,1,1,0,0,1,0,2,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,1,1,1,0,0,1,0,2,0,1,0,2,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,2,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,2,0,0,0,0,0,0,0,2,1,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,2,0,1,0,0,1,1,0,0,0,1,0,1,2,0,2,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,1,2,1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,2,2,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,1,1,1,0,0,1,0,2,2,0,2,0,1,0,2,2,0,0,0,0,1,0,1,0,1,0,0,0,0,0,2,2,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,2,0,1,2,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,2,1,1,0,1,1,1,1,0,0,1,0,0,2,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,2,1,0,1,0,0,0,1,0,0,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,2,0,1,0,0,0,0,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,2,0,2,0,0,2,0,0,0,0,0,0,0,1,1,0,0,2,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,1,1,1,0,0,2,1,0,1,0,2,0,0,0,1,1,2,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0,2,2,1,1,1,1,1,1,0,0,0,2,0,1,0,0,0,0,0,0,1,1,0,0,0,1,2,0,0,1,1,0,0,0,1,0,1,0,2,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0,2,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,2,2,1,1,2,1,0,1,1,2,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,1,0,0,0,0,1,0,0,1,2,1,0,0,1,0,1,1,0,0,0,2,0,2,0,1,1,0,2,0,1,0,1,0,1,0,0,1,0,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,2,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,2,0,0,1,0,0,0,0,1,1,1,0,1,1,1,0,0,1,0,2,0,0,0,1,1,1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,2,1,1,1,0,2,1,0,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,2,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,2,0,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,0,1,2,0,0,0,0,1,0,1,0,1,2,0,0,0,1,1,0,0,0,0,1,0,2,0,0,1,1,0,0,0,1,1,0,1,1,1,2,0,0,1,0,1,0,0,0,1,2,1,1,1,0,0,2,2,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,2,0,2,0,0,0,1,1,2,1,0,0,0,1,0,0,1,0,0,1,1,0,1,1,2,1,0,1,0,2,0,0,1,0,0,0,0,0,1,2,0,1,0,0,1,1,0,0,2,0,1,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0 2,0,1,2,0,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,1,2,0,0,0,1,1,0,0,0,1,0,2,0,1,0,0,1,0,2,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,2,1,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,2,0,1,0,2,1,0,1,0,1,0,0,1,0,1,0,1,1,0,2,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,2,1,0,2,0,0,1,0,0,0,0,2,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,1,0,2,1,0,0,0,1,1,1,0,0,0,0,0,0,2,0,1,0,0,0,0,2,0,0,1,1,0,0,0,0,2,2,2,0,1,2,1,1,0,0,1,2,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,2,1,0,1,1,1,0,2,0,0,1,0,1,0,0,0,1,0,0,0,0,2,2,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0,1,1,2,1,0,0,1,1,1,0,0,0,0,2,0,1,1,0,0,0,0,2,2,1,0,1,0,1,1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0,1,0,2,0,1,1,0,0,0,0,1,0,0,2,0,1,1,1,0,1,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,1,1,1,1,0,0,1,2,1,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,2,1,0,0,2,0,2,0,0,2,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,0,2,1,2,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,2,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,2,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,0,0,1,2,1,0,0,0,0,0,2,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0,2,1,0,2,1,0,1,0,0,0,2,0,1,1,1,2,2,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0,1,2,1,0,0,2,0,1,0,0,0,1,1,1,0,0,0,2,1,1,0,1,1,2,1,1,0,0,0,1,0,1,0,0,0,0,2,2,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,2,1,0,0,0,2,0,2,0,0,0,2,0,0,2,1,1,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,1,2,1,1,0,0,1,0,0,0,0,1,1,2,1,1,0,0,0,1,0,0,2,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,2,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,2,0,0,0,0,0,1,1,0,0,1,0,0,1,0,1,1,2,0,0,0,0,2,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,1,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,1,1,1,0,2,0,0,1,1,0,1,0,0,2,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,2,1,2,0,0,0,1,0,1,0,0,2,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,1,0,0,2,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,1,1,1,0,2,0,1,0,0,2,1,1,1,0 0,0,0,1,0,0,0,1,0,2,0,1,1,2,0,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,2,0,0,0,2,2,1,1,0,2,0,0,0,0,0,0,1,0,0,0,1,0,1,0,2,0,0,1,1,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,1,2,0,0,1,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,1,2,2,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,2,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,1,1,2,0,1,0,0,0,1,0,1,0,0,1,0,1,0,1,1,0,2,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,2,1,0,0,0,1,0,2,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,2,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,2,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,2,1,0,1,2,0,0,0,2,1,2,0,0,2,0,0,1,1,0,0,1,1,1,2,1,1,2,0,2,0,1,2,0,1,0,1,0,1,0,0,0,1,0,0,2,1,0,0,2,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,1,0,2,0,0,2,0,0,0,1,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,2,0,0,1,2,0,0,1,0,0,1,0,0,0,1,0,2,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,1,1,0,2,2,0,0,0,1,0,0,0,1,2,1,2,1,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0,1,0,1,0,0,1,2,0,1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,2,2,1,0,2,2,1,0,0,1,1,1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,1,0,0,1,1,2,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,2,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,2,0,0,1,2,0,1,1,2,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,2,2,0,1,0,0,2,1,0,0,0,1,1,1,2,2,0,0,2,1,2,0,0,1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,2,0,0,0,1,2,0,0,0,1,1,0,1,0,0,0,0,2,1,0,2,1,1,2,0,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,1,1,1,2,0,0,2,0,1,2,1,1,0,0,0,0,2,0,2,0,1,2,0,0,0,0,0,1,1,0,1,1,0,2,0,0,1,0,0,0,0,1,2,0,0,2,0,1,1,0,0,2,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,2,0,1,1,1,0,0,1,0,0,0,0,1,1,2,0,1,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,2,2,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,1,0,2,0,1,0,1,0,1,0,0,2,0,1,0,0,1,0,2,0,0,0,2,0,1,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,2,1,1,2,0,0,1,0,2,1,1,0,1,0,0,0,0,0,0,0,0,0,0 1,1,1,0,1,0,0,0,1,2,1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,2,2,1,1,0,0,2,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,2,0,0,0,0,1,2,2,1,1,0,1,0,0,2,0,0,2,2,1,0,1,0,0,1,1,1,2,1,0,0,0,0,0,1,0,0,0,0,0,2,1,1,0,2,1,0,0,1,0,1,2,2,0,2,0,0,0,0,1,0,2,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,1,1,1,2,0,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,2,2,1,1,2,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,2,0,1,0,0,0,2,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,1,1,1,0,1,0,1,0,0,1,1,2,1,0,0,2,0,1,1,0,2,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,1,2,0,0,0,0,0,0,0,1,0,0,0,2,0,0,2,0,1,0,0,0,0,1,0,0,1,0,0,2,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,2,0,0,1,0,1,1,0,1,2,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,2,1,2,0,0,1,0,1,0,1,1,2,0,1,0,1,1,1,2,1,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,2,1,0,2,0,0,1,2,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,1,1,0,0,0,2,0,1,0,2,0,0,2,1,0,0,1,1,0,1,0,1,0,0,1,2,2,0,1,0,0,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,2,1,0,0,0,1,0,1,1,0,1,0,2,1,1,2,0,1,2,0,1,1,1,2,0,2,1,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,2,0,0,1,1,0,0,1,2,1,1,0,0,0,1,0,1,0,0,2,0,1,0,1,0,0,2,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,2,1,0,2,2,0,0,1,0,1,1,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,2,1,0,2,1,1,0,2,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,2,2,2,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,1,2,0,0,0,2,1,1,0,1,0,0,0,0,0,1,2,0,0,1,0,0,1,0,1,1,0,2,1,2,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0,2,2,0,2,0,1,0,1,0,0,0,1,2,1,1,0,1,0,2,1,1,1,1,0,0,0,1,1,1,1,1,0,1,2,1,0,0,0,1,2,0,0,0,1,1,1,0,0,0,0,1,0,2,0,0,0,1,2,1,2,2,0,0,0,0,0,1,1,0,1,2,0,0,0,0,0,0,1,0,1,1,0,0,2,1,1,0,1,0,0,0,1,1,1,2,1,1,0,0,0,0,0,0,0,0,1,1,0,2,2,1,1,0,1,0,2,1,2,2,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,2,0,1,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,1,2,0,0,0,0,2,0,0,0,0,1,1,2,0,2,0,0,0,0,0,2,0,2,1,0,0,2,2,1,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0 1,0,1,2,1,0,1,0,2,2,2,0,0,0,1,0,0,0,0,0,0,0,2,0,1,1,2,0,0,0,1,0,1,0,1,0,0,1,1,0,1,0,0,2,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,2,1,2,0,1,1,1,0,1,2,0,0,0,0,0,0,1,1,1,0,1,1,2,1,0,0,0,1,1,0,1,0,0,1,0,1,2,0,0,1,0,2,2,1,0,0,1,1,0,2,2,2,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,2,0,1,0,0,2,1,0,1,1,0,0,2,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,1,1,0,1,0,0,2,0,1,0,1,0,1,1,2,0,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,2,2,1,0,0,0,0,1,0,0,1,1,1,2,2,0,0,0,1,0,0,0,0,2,0,2,0,2,0,1,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,1,2,1,0,1,0,0,0,0,2,2,0,0,0,2,1,0,1,1,1,1,0,2,0,0,1,0,0,0,2,0,0,0,0,1,0,1,0,1,1,0,0,1,0,1,1,1,2,1,1,1,1,0,0,1,0,0,1,1,1,0,1,2,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,2,1,1,1,0,1,1,1,1,0,1,1,1,0,0,2,1,0,0,1,1,1,2,0,1,0,1,0,0,0,0,1,0,2,0,0,1,1,2,0,1,0,0,1,1,1,2,2,0,0,1,0,1,0,2,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,1,2,0,0,0,0,2,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,2,0,0,1,0,1,1,0,0,0,0,0,0,2,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,2,1,1,1,1,0,0,0,1,1,0,1,1,1,0,2,0,0,0,0,1,1,2,0,1,0,0,1,1,0,0,0,1,1,1,1,0,1,1,1,0,0,1,1,1,2,1,2,2,1,0,2,2,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,2,0,0,0,0,0,1,0,0,2,0,1,1,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,1,2,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,0,1,0,0,1,1,1,0,2,2,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,2,0,2,0,0,1,0,0,0,1,0,2,1,1,1,0,0,2,0,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,2,0,0,1,0,1,0,1,1,2,1,1,0,1,0,0,1,1,1,2,1,1,2,2,0,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,2,0,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,0,2,1,0,1,2,0,2,1,0,2,1,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,1,0,0,0,1,2,1,0,1,0,0,1,1,0,1,0,0,1,0,0,1,2,0,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0,2,0,1,1,2,0,0,0,1,1,1,1,0,1,1,2,2,1,1,0,0,0,0,1,0,0,1,0,1,1,0 1,0,0,0,2,1,1,0,0,1,1,0,0,0,1,0,0,1,2,0,0,0,0,0,2,1,1,2,0,0,1,0,1,2,0,0,1,1,1,0,1,0,0,2,0,0,0,2,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,2,0,1,1,0,1,1,1,0,0,2,0,0,1,0,0,0,0,1,2,0,1,0,0,0,1,0,1,0,0,1,2,0,1,2,1,1,0,1,0,0,0,2,0,0,0,1,0,2,0,2,2,1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,1,1,1,0,0,2,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,2,1,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,2,0,1,1,2,1,1,1,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,1,0,0,2,2,1,0,0,0,0,0,0,1,1,0,0,1,1,2,0,0,1,0,1,1,2,1,1,1,0,1,0,0,0,0,2,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,2,2,0,0,0,1,0,0,1,1,1,1,1,1,0,1,0,1,0,2,0,0,0,0,0,0,2,0,2,0,0,0,2,0,1,0,0,0,0,1,2,1,0,0,2,0,2,2,1,1,1,1,0,1,0,0,1,1,1,0,1,2,0,1,0,1,0,2,1,0,0,0,2,0,0,1,1,0,1,0,2,2,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,1,0,0,2,0,0,1,0,1,1,2,1,1,0,0,1,1,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,2,1,1,1,0,1,0,2,1,1,0,2,0,0,1,0,0,0,0,1,0,1,1,0,0,0,2,0,0,0,0,1,1,1,0,0,1,0,0,0,0,2,1,0,0,1,0,0,0,2,1,1,0,1,1,2,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,2,0,0,0,0,2,1,0,0,0,0,0,1,1,0,0,0,1,1,2,0,0,1,0,2,1,1,0,1,0,0,0,0,0,0,1,0,2,0,0,1,1,0,1,1,1,1,0,1,2,1,1,2,0,2,0,0,2,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,1,0,1,0,0,2,0,0,0,1,2,1,1,2,1,0,0,1,2,1,0,2,1,0,0,1,1,0,1,0,1,1,1,0,1,0,0,0,2,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,2,0,0,1,0,0,0,1,0,0,0,0,1,1,1,1,0,1,0,1,0,0,1,0,2,1,0,0,0,0,0,0,1,1,2,1,0,1,0,0,1,0,1,1,2,1,2,0,0,1,1,0,1,1,0,2,1,1,0,0,0,0,2,1,0,0,1,1,1,0,1,0,1,2,0,2,0,1,2,2,0,0,0,2,0,0,2,0,0,2,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,1,1,2,0,0,0,1,2,0,0,2,2,0,0,1,2,1,0,0,1,1,0,1,0,0,0,0,1,0,2,0,0,2,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,2,1,0,0,2,2,0,1,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0,1,2,1,1,0,0,0,1,2,1,0,1,0,0,2,0,0,2,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,2,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,1,2,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0 1,0,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,2,2,1,0,1,0,1,1,0,0,2,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,2,1,0,2,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,2,1,0,0,2,1,0,0,1,2,0,0,0,0,1,0,0,1,2,0,0,1,1,2,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,2,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,1,0,0,2,1,0,1,0,2,1,1,1,0,1,0,0,1,0,2,0,0,1,0,0,0,1,1,0,2,1,1,2,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,1,1,1,1,0,2,0,1,0,0,0,0,0,2,0,1,1,2,0,0,0,2,1,1,1,1,1,1,1,0,1,1,0,0,1,2,2,0,0,0,1,2,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,1,1,1,2,0,0,0,1,2,0,2,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,2,1,1,0,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,2,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,2,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,0,2,1,0,0,1,0,2,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,1,0,1,1,2,1,0,0,2,0,0,2,1,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,2,0,0,0,0,1,0,0,2,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0,2,1,0,0,0,2,0,0,1,0,0,0,0,0,0,0,2,2,0,0,0,2,2,1,2,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,2,0,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,2,2,0,0,0,0,1,0,2,0,2,0,0,0,0,1,2,1,0,1,1,0,2,0,2,0,0,1,1,2,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,2,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,2,1,1,2,0,1,0,0,1,0,2,0,0,0,1,0,1,2,2,1,1,0,1,0,1,0,1,0,1,1,0,0,2,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,1,1,1,0,1,1,1,0,1,0,2,2,0,0,1,0,1,1,1,1,2,1,0,0,0,0,0,1,1,0,1,0,1,0,0,2,0,0,0,0,0,0,0,2,2,0,0,2,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,2,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,2,0,2,0,0,1,0,0,0,0,1,1,1,0,1,1,1,1,0,0,2,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,2,0,1,0,0,1,0,0,1,0,1,1,2,0,0,1,1,0,1,1,1,0,0,2,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,2,2,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,2,1,0,0,1,1,0,0,0,0,0,0,1,1,1,0,1,0,1,2,1,0,0,0,0,0,1,2,0,1,1,0,2,0,1,1,2,2,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0 0,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,2,0,0,1,0,0,1,0,0,1,0,0,2,1,0,1,0,0,2,0,2,1,0,2,1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,2,0,1,0,0,1,0,2,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,2,0,2,0,1,0,0,1,0,0,2,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,1,1,0,1,0,1,1,2,0,0,0,1,0,0,1,0,1,0,1,0,0,1,2,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,2,1,1,1,0,1,0,1,0,2,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,2,0,0,0,1,1,0,0,0,1,1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,2,1,2,0,1,0,0,0,1,0,0,0,1,2,0,0,1,1,1,0,1,1,0,1,2,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,1,1,0,1,1,1,0,1,0,1,0,2,2,0,0,0,2,0,2,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,2,0,1,1,0,1,0,0,2,0,0,1,2,1,0,0,1,1,1,1,0,0,0,0,0,1,2,0,0,2,1,0,0,2,0,1,1,1,1,2,1,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,2,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,2,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,1,1,0,0,0,2,0,1,2,1,0,1,0,1,1,1,2,0,0,1,1,0,1,0,0,0,0,2,0,0,0,0,0,1,1,2,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,2,0,1,1,1,1,2,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,1,0,2,0,0,1,1,1,0,0,1,1,0,1,2,0,1,1,0,1,0,0,2,0,0,2,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,0,1,2,0,0,0,1,1,0,0,1,2,0,0,2,1,0,1,2,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,2,1,0,0,0,1,1,0,0,0,0,0,2,0,0,0,1,1,0,0,1,0,0,0,2,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,1,1,1,0,1,0,1,0,2,0,2,0,0,1,0,0,0,0,0,1,1,1,0,0,0,2,2,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,2,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,2,1,1,1,0,0,2,0,0,1,1,1,1,1,0,0,0,1,0,1,0,0,1,1,1,2,0,0,1,2,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,2,0,0,0,1,0,2,1,1,1,2,0,0,0,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,2,1,0,2,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 1,0,1,2,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,2,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,2,0,1,2,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,1,0,1,2,0,0,1,0,0,0,0,1,0,2,0,1,1,0,0,1,0,0,2,1,0,2,0,1,2,0,1,1,2,0,1,0,2,1,1,0,0,0,1,0,1,2,0,0,1,2,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,2,0,2,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,1,0,0,0,0,2,2,1,1,0,1,0,0,0,0,2,0,0,0,0,0,1,0,1,0,1,0,0,0,2,1,0,0,2,1,0,0,0,0,1,0,0,0,2,0,1,2,0,1,0,1,1,0,0,0,2,1,0,0,2,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,2,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,2,1,1,1,0,1,1,0,0,0,0,1,1,2,0,0,0,2,1,1,1,0,2,0,0,0,0,2,0,0,0,0,1,0,1,1,1,0,0,1,1,1,0,2,0,1,1,0,0,0,0,1,0,1,1,0,1,0,0,1,0,2,0,0,0,0,2,0,0,0,2,0,2,0,2,0,2,1,1,0,0,2,1,1,0,0,0,1,2,1,0,0,0,2,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,2,1,0,0,2,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,2,0,2,1,0,1,1,0,1,0,2,1,0,1,1,1,0,2,1,0,0,1,0,1,1,0,0,0,0,0,2,1,2,0,2,0,0,0,0,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,2,1,1,0,1,1,2,1,0,0,1,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,2,1,0,1,1,0,0,0,0,0,0,0,0,2,0,2,2,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1,1,2,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,1,0,0,2,1,0,1,0,0,2,2,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,2,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,1,2,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,1,1,0,1,0,2,1,0,1,0,0,0,0,0,0,1,0,1,1,1,2,0,0,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,2,0,0,0,0,0,0,1,0,1,0,0,2,1,2,1,0,0,1,1,1,0,1,0,1,2,0,0,0,0,0,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,2,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,2,0,0,0,0,0,0,2,1,2,0,0,0,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,2,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,2,1,2,0,2,1,1,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0,1,0,1,0,1,0,0,1,2,1,0,0,2,0,1,2,1,2,1,0,0,1,0,0,2,0,0,0,0,0,0,1,1,1,0,0,0,0,2,0,0,0,0,1,1,1,1,0,0,2,0,0,0,1,0,2,0,0,1,0,2,1,1,0,0,1,0,1,2,1,1,1,0,1,1,0,2,0,1,2,2,1,0,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0 1,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,2,0,1,0,1,0,0,1,0,0,0,0,1,2,0,1,0,2,0,1,0,1,0,0,1,0,0,0,1,0,1,0,1,1,1,0,0,0,1,1,1,2,0,0,1,1,1,2,0,1,0,2,0,0,2,0,1,1,1,0,2,1,2,0,1,0,0,0,2,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,2,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,2,0,0,2,0,0,1,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,0,1,0,1,2,0,0,2,0,1,0,1,2,0,1,0,1,1,0,0,0,0,0,0,0,2,1,0,1,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,1,2,0,2,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,2,0,0,2,0,1,1,2,0,1,1,0,0,0,0,1,1,0,0,0,1,0,2,0,0,0,0,1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,2,0,0,1,0,0,2,1,0,1,1,1,0,2,0,0,2,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,1,0,1,2,1,2,0,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,0,0,1,2,1,0,0,0,0,0,2,1,1,1,0,2,0,2,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,1,1,1,0,1,1,0,2,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0,2,0,2,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,2,1,0,1,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,2,1,2,0,1,2,1,1,0,0,0,0,0,2,0,2,1,0,0,0,0,0,1,2,1,0,0,2,1,0,1,0,2,2,1,1,2,0,0,0,0,1,1,1,2,1,1,0,0,0,2,0,1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,0,1,2,2,0,0,0,0,0,0,0,1,0,1,1,1,1,0,1,1,2,1,1,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,1,0,2,1,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,1,1,2,1,1,2,2,0,1,1,1,1,0,0,1,0,0,1,0,0,1,2,0,2,1,1,1,0,0,1,0,1,0,2,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,0,1,0,0,1,2,0,0,0,1,0,0,1,1,0,0,0,1,1,0,2,0,0,0,0,0,1,1,1,1,0,1,2,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,1,0,1,0,0,0,2,1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,1,1,0,1,1,1,0,0,2,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,2,1,2,1,0,0,0,0,0,0,0,2,0,1,0,0,0,2,1,2,0,2,0,1,2,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,1,1,2,1,0,2,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,2,0,1,0,2,1,1,0,1,0,0,2,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0 0,0,1,0,1,0,0,2,0,1,1,0,0,0,0,0,0,1,1,0,1,1,1,1,1,1,0,2,0,1,0,0,1,1,0,0,1,2,0,1,1,0,0,0,1,0,0,0,1,2,0,1,2,0,0,0,0,0,0,0,0,1,1,0,0,1,0,2,1,1,0,1,1,0,2,1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,2,2,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,1,2,0,0,1,0,0,2,0,1,2,0,0,0,1,0,0,2,0,1,0,1,0,0,0,0,0,2,0,0,1,2,2,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,2,0,0,2,0,0,0,0,1,0,1,0,0,1,0,2,0,1,2,0,0,1,1,2,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,2,1,1,0,1,1,1,1,0,0,1,1,1,1,0,1,0,1,0,2,0,0,2,1,0,1,0,0,0,0,0,0,0,1,1,0,1,2,1,0,1,1,0,0,0,1,1,1,1,1,1,0,0,2,0,0,0,0,1,0,1,0,1,0,0,2,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0,1,2,1,1,0,2,1,0,0,2,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,1,0,2,0,0,0,0,1,0,1,1,0,0,2,0,0,0,0,1,0,0,0,1,0,2,0,1,1,1,1,0,0,0,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,2,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,2,0,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,1,0,2,2,0,0,1,0,0,0,1,2,1,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,1,0,0,2,0,2,0,0,0,0,1,2,0,0,2,0,0,0,1,1,0,0,0,0,0,0,1,0,2,0,0,0,2,0,1,1,0,1,0,1,2,0,1,0,0,2,0,0,0,0,1,0,1,1,2,2,0,2,2,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,2,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,2,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,2,2,2,0,0,0,0,2,1,1,1,0,0,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,2,0,1,0,1,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,2,0,0,2,0,0,1,0,0,0,2,0,0,2,1,1,2,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,2,0,0,0,2,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,2,2,0,0,0,1,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,1,0,2,0,1,0,0,2,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,2,2,0,0,2,0,0,1,0,0,0,0,0,1,2,0,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,1,2,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0 0,0,1,1,1,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,2,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,1,2,1,2,0,0,0,0,1,1,0,1,0,2,0,0,2,2,2,1,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,0,1,1,2,0,0,0,2,0,2,0,0,1,0,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,0,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,1,1,0,2,1,0,0,0,2,1,2,1,1,0,2,0,0,0,0,1,1,0,2,1,0,1,0,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,1,1,1,1,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,2,1,1,1,2,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0,1,2,0,0,0,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,2,0,2,0,0,0,0,0,1,0,1,1,0,0,0,0,0,2,2,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,2,0,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,2,0,0,1,1,0,0,0,0,2,0,2,1,0,0,1,0,0,1,2,1,1,0,1,0,0,2,2,1,0,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,2,1,1,0,1,1,2,0,2,1,0,1,1,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,2,0,1,0,1,0,0,1,0,0,0,1,0,1,0,1,1,0,0,1,1,0,2,0,0,2,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,1,0,2,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,2,1,1,0,0,0,0,0,1,0,0,0,0,0,0,2,2,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,2,1,1,0,0,0,1,1,0,2,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0,2,1,1,0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,2,0,0,1,1,0,1,2,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,2,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,2,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,2,2,1,2,1,0,0,0,2,0,0,1,1,0,0,0,1,2,0,1,0,1,0,1,0,2,1,0,1,0,2,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0,0,0,2,0,1,0,1,1,0,0,0,0,0,1,0,0,2,0,0,1,0,2,2,0,0,1,1,1,0,0,1,1,1,0,0,0,0,0,2,0,1,1,0 0,0,1,2,0,0,0,0,1,1,0,1,2,1,2,0,0,1,0,0,0,1,2,1,2,1,2,0,1,0,2,0,0,1,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,1,2,1,0,0,2,1,0,0,0,0,0,0,2,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0,1,2,1,1,1,1,2,2,1,1,1,0,2,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,2,0,0,0,0,1,1,2,0,0,1,0,1,0,0,1,2,1,2,1,2,1,2,0,0,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,1,1,2,0,1,0,1,2,0,0,1,2,1,2,0,0,1,0,1,0,0,1,1,0,0,2,0,2,1,0,1,1,0,2,0,0,2,1,1,1,1,0,0,0,0,0,1,2,0,2,1,2,1,0,1,1,0,0,0,0,1,1,0,0,0,0,2,1,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,1,0,1,0,0,0,0,2,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,2,1,1,0,1,0,1,0,2,1,1,0,0,1,0,1,0,0,0,0,2,1,0,0,2,0,0,0,1,0,0,0,1,2,1,1,0,0,1,1,0,1,2,1,0,2,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1,1,1,0,0,2,0,0,1,0,0,0,0,0,0,0,1,1,1,2,0,1,1,1,0,2,1,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,2,1,2,0,0,2,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,2,1,0,1,0,0,0,1,1,1,0,0,0,2,0,0,2,0,1,1,0,0,0,1,0,1,0,0,2,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,2,0,2,0,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,1,0,2,1,1,1,1,0,0,0,0,2,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,2,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,2,2,1,0,1,0,0,0,0,1,0,0,1,1,0,1,1,1,1,1,1,0,0,1,1,1,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,1,0,1,1,1,0,2,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,2,0,2,2,0,1,0,1,0,2,0,0,1,2,1,2,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,1,1,0,0,0,1,1,1,0,1,0,1,2,2,0,0,1,1,1,0,1,0,1,2,0,1,0,0,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,0,0,2,0,0,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,1,1,1,1,1,2,0,0,1,1,0,2,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,2,0,0,2,0,1,2,1,1,1,2,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0 1,0,2,1,1,1,0,0,0,1,2,0,1,2,1,0,0,0,2,0,0,0,0,0,0,1,1,0,1,1,2,0,1,0,1,0,1,0,0,0,0,2,2,1,0,0,1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,2,0,0,0,0,1,1,1,0,2,0,1,0,1,1,1,2,2,0,1,1,1,0,2,0,0,0,1,0,1,2,0,0,0,0,1,0,0,0,1,0,1,2,0,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,1,0,1,0,1,0,1,1,0,2,1,0,1,0,1,0,1,0,0,1,1,1,2,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,2,1,1,2,0,1,0,1,0,2,1,1,0,0,1,0,1,1,0,0,1,0,1,1,2,1,0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,2,0,1,1,1,0,2,0,0,0,0,0,1,0,1,0,0,0,1,2,0,0,0,0,1,1,1,0,0,0,0,0,2,2,1,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,2,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,1,1,0,1,0,0,2,2,0,1,0,0,1,2,1,1,0,1,1,0,1,1,0,2,0,0,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,1,1,1,1,1,1,0,2,0,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,2,1,1,0,0,0,1,0,0,1,1,0,0,0,1,0,2,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,2,0,0,1,0,0,1,2,1,0,0,1,0,1,0,0,2,1,0,0,0,2,1,0,1,0,1,0,0,0,0,1,0,0,1,1,2,0,0,2,0,0,2,0,0,1,1,2,2,1,1,2,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,2,1,0,0,1,1,0,0,2,0,2,0,0,0,1,1,0,1,0,2,0,1,1,1,0,0,1,1,1,1,0,1,0,0,2,0,1,0,0,1,2,0,0,0,0,1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0,1,2,1,1,1,0,2,1,0,1,1,0,0,0,0,2,0,0,0,1,1,0,0,0,2,0,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,2,1,0,0,0,1,0,0,1,0,1,0,2,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,2,1,2,1,0,0,0,0,1,1,1,0,0,0,0,1,0,2,1,0,0,1,2,1,1,0,1,1,0,1,1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,2,2,0,0,0,0,0,0,0,0,0,2,0,0,1,0,2,0,0,0,1,0,0,0,1,2,2,0,0,0,0,1,0,0,2,0,1,2,0,1,0,2,0,0,2,0,0,1,1,1,1,0,0,1,1,2,1,0,1,0,0,0,2,1,0,1,0,0,1,0,0,2,2,1,0,0,0,1,1,0,0,0,1,0,0,0,1,2,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,2,0,0,1,0,0,1,0,0,1,1,2,2,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0 1,0,0,1,1,0,0,0,0,1,2,0,0,2,0,2,1,0,1,0,0,0,0,0,1,0,2,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,2,0,1,0,1,0,0,2,0,0,0,0,0,1,0,2,1,0,0,1,1,0,1,0,2,0,1,1,0,1,1,1,2,0,1,0,0,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,2,0,1,0,1,2,0,1,0,0,0,0,0,2,0,0,0,0,0,1,1,0,2,0,0,0,0,0,0,2,1,1,1,0,0,1,0,1,0,1,0,0,2,2,0,0,0,0,1,1,0,1,0,0,1,0,0,0,2,0,0,1,0,1,0,2,0,1,1,1,1,0,0,1,1,1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,2,0,0,2,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,1,0,1,2,2,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,2,1,0,0,1,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,2,0,1,1,1,2,0,0,0,2,0,1,0,0,0,1,0,1,2,0,1,0,0,1,1,0,0,1,0,1,1,2,0,1,2,0,1,2,0,0,0,0,0,0,0,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,2,1,2,0,1,1,0,1,1,0,2,0,1,0,2,0,1,0,1,1,0,1,0,1,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,1,1,1,1,0,0,1,1,0,1,1,1,2,0,0,1,0,0,0,1,1,0,1,1,0,0,2,0,1,0,2,0,1,0,1,2,1,0,1,0,1,1,1,0,1,1,2,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,2,0,1,1,0,0,1,2,1,1,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,2,0,1,1,0,2,0,1,1,0,1,0,0,0,0,1,2,0,0,2,1,1,2,0,1,1,1,0,0,1,1,1,0,1,0,1,2,0,0,1,0,0,0,2,1,0,1,1,0,1,0,0,1,0,2,2,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,0,2,1,0,0,0,1,1,0,2,1,1,0,0,2,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0,1,1,1,1,2,0,0,1,1,2,0,0,1,0,0,0,0,0,1,2,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,1,1,2,2,0,0,0,0,1,0,2,1,2,0,1,0,1,1,1,2,1,0,0,1,0,1,0,2,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,2,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,1,0,1,1,0,0,1,0,2,1,0,1,0,0,0,1,0,0,0,1,1,0,2,1,2,1,1,0,0,0,2,1,0,0,0,0,1,1,2,0,0,0,0,0,0,0,2,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,2,1,2,0,1,1,0,1,1,1,1,0,1,0,2,1,1,1,0,0,0,0,2,1,0,0,1,1,1,0,0,1,0,1,0,0,2,0,1,1,0,1,0,1,1,1,0,0,2,0,0,1,0,1,0,0,0,0,1,1,0,1,1,0,1,1,0,0,2,0,1,2,2,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,1,0,0,1,0,0,2,1,1,2,0,1,0,2,0,1,1,1,1,2,0,1,0,1,1,2,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,2,1,0,0,0,1,0,1,0,2,0,0,1,0,1,0,1,0,2,0,1,0,1,1,0,1,0,0,0,1,0,0,2,0,1,0,0,0,0,0,1,1,0,0,0 0,0,0,2,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,2,0,0,1,0,0,0,1,0,1,2,2,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,2,0,0,0,0,0,0,2,0,1,2,0,1,0,1,2,1,1,1,1,0,0,0,0,0,1,1,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,1,0,2,1,1,0,0,1,1,1,2,0,0,1,2,0,2,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,2,0,1,0,1,0,1,0,2,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0,2,0,1,1,0,0,0,0,1,1,1,0,0,1,0,2,0,0,0,1,0,2,0,1,0,1,1,0,1,1,1,1,1,0,1,0,1,2,0,2,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,1,1,2,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,0,2,0,1,2,1,1,0,0,0,0,0,0,1,1,0,0,1,0,2,1,0,0,0,0,0,1,2,0,0,0,0,2,2,0,0,0,0,1,0,0,1,0,0,0,2,2,0,0,1,1,1,2,2,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,2,0,2,1,1,1,0,1,0,1,1,1,1,2,1,1,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,1,2,2,1,1,0,0,2,0,1,0,0,1,1,0,0,0,0,2,0,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,2,0,2,1,0,0,0,1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,2,0,1,0,2,0,0,0,2,0,2,0,0,0,2,1,0,1,1,0,2,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,2,0,1,1,2,0,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,2,1,1,1,0,0,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,0,0,0,2,0,0,0,0,1,1,0,0,1,0,0,1,2,0,0,2,0,0,0,1,0,0,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,2,1,1,0,1,2,1,1,1,0,0,0,1,0,0,2,0,1,0,1,0,1,1,0,1,1,2,0,0,2,0,1,1,1,0,1,0,1,0,0,0,2,0,0,1,0,2,0,0,0,2,0,0,0,2,0,0,0,0,1,0,0,0,0,2,0,2,0,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0,1,2,1,0,1,0,0,0,1,2,0,1,0,2,1,1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,2,0,2,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,2,1,1,1,0,2,0,1,1,2,0,1,0,2,1,1,1,0,0,0,0,0,2,0,0,0,0,1,0,0,1,1,1,0,0,2,1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,2,1,1,0,0,0,0,0,1,2,0,0,1,1,1,0,0,1,0,0,2,0,2,0,1,0,2,2,1,0,1,1,0,1,0,1,0,0,1,0,2,1,1,2,0,1,0,1,1,1,0,2,0,0,1,1,0,0,2,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,2,0,0,1,0,0,0,1,2,2,0,0,1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,2,0,1,0,0,0,2,0,0,2,0,0,0,0,0,0,0,1,1,0 1,1,1,1,1,0,1,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,1,1,0,2,1,0,0,0,0,0,1,0,0,0,2,0,0,1,1,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,2,0,1,0,0,0,0,0,0,1,0,0,2,0,0,0,2,1,0,0,0,0,1,0,0,0,1,1,0,0,1,2,0,1,0,1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,2,1,0,0,0,1,1,0,0,0,0,1,0,0,1,2,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,2,0,0,1,0,0,1,1,0,0,1,1,0,0,0,1,2,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,2,0,2,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,2,1,0,0,1,2,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,1,1,2,0,0,0,2,0,2,1,0,0,1,0,0,1,1,0,0,1,0,0,2,0,0,1,0,0,0,1,1,0,0,1,0,1,2,0,0,0,1,0,0,2,0,1,0,1,0,0,1,0,1,0,1,1,0,2,0,0,0,1,1,0,0,0,1,0,1,0,2,0,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0,2,1,2,1,1,0,2,0,0,1,1,0,1,1,1,2,1,2,1,0,0,2,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,1,2,0,2,1,0,2,2,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0,2,0,0,1,1,2,0,1,2,0,0,0,1,0,0,0,1,1,0,1,0,2,0,1,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0,0,1,1,1,0,1,2,1,0,0,0,0,0,0,0,0,2,0,1,1,1,0,0,0,1,1,0,0,2,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,2,1,2,0,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,1,2,0,1,1,0,0,1,0,0,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,1,1,1,0,2,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,2,0,0,1,1,2,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,2,2,1,0,0,0,2,1,0,2,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,0,1,1,0,0,0,1,0,0,2,0,1,2,0,2,0,0,1,0,0,0,0,1,2,0,1,1,0,0,2,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,1,1,2,0,0,2,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,2,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,2,1,2,0,0,1,1,0,2,0,0,1,1,0,0,0,0,0,0,1,1,2,1,0,1,0,0,1,0,1,1,1,1,1,1,0,2,0,1,0,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,2,0,0,0,1,0,0,0 2,0,1,0,1,0,0,2,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,2,0,1,2,1,1,0,0,1,1,0,0,0,0,1,1,2,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,0,1,2,0,2,0,1,0,0,0,1,1,0,0,2,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,2,1,2,0,0,1,0,1,0,0,1,0,0,2,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,1,0,2,0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,1,0,0,2,0,2,0,2,1,0,0,1,0,1,2,0,0,1,0,0,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,2,0,0,1,0,0,1,0,2,0,0,0,1,1,1,2,0,0,1,1,0,0,0,1,0,0,1,1,1,2,0,0,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,2,0,1,1,0,1,0,0,0,1,2,0,0,0,0,0,1,2,0,0,0,0,2,0,1,2,0,0,1,2,1,1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,1,2,0,1,2,0,1,0,2,0,1,0,0,1,0,0,1,0,1,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,0,2,0,0,1,0,0,0,0,1,0,1,0,1,0,2,0,0,0,2,1,0,0,2,0,0,1,1,0,1,0,2,0,0,0,1,2,0,0,0,0,1,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,2,0,0,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,2,0,1,1,0,0,0,0,2,2,0,1,0,0,1,1,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,2,2,1,1,0,0,0,0,0,0,0,1,0,1,1,1,1,0,0,1,1,1,0,2,0,2,0,0,0,0,1,0,2,1,0,1,0,0,0,0,2,1,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,2,0,0,0,2,0,2,1,0,2,0,0,0,1,1,2,0,2,0,1,0,1,0,1,0,1,1,0,2,0,0,0,1,0,1,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,1,0,1,1,1,0,2,0,1,1,2,0,1,1,1,1,1,0,0,0,1,2,0,1,1,1,0,0,0,0,0,1,0,1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,2,0,1,0,1,0,2,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,2,1,0,2,0,1,0,1,0,1,0,2,1,1,1,1,2,0,1,0,0,1,0,1,0,0,1,1,2,0,0,1,0,0,0,1,1,0,0,1,1,0,1,1,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,2,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,2,1,2,1,0,2,1,0,0,1,2,2,1,1,0,2,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,2,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,2,0,0,1,1,1,0,0,1,1,0,1,0,0,2,1,1,0,0,2,1,1,0,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,2,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,1,2,0,1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,1,1,2,0,0,2,0,0,1,2,2,0,0,1,0,0,1,0,0,1,0,1,0,0,2,0,1,0,2,0,1,0,2,0,0,0,1,0,0,0,0,1,1,0,0,0 2,0,1,2,0,0,1,0,0,0,1,0,0,2,1,0,0,0,2,0,0,1,0,1,1,1,1,2,0,0,2,0,1,1,0,0,1,2,1,0,2,1,0,2,1,0,0,1,2,0,2,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,2,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,1,2,1,0,1,1,1,2,0,2,1,1,0,0,0,2,0,0,0,0,0,0,1,0,0,1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,2,1,0,0,1,0,1,0,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,0,2,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,2,1,0,0,0,2,0,0,1,1,1,1,0,2,0,0,0,1,0,2,0,2,0,0,1,0,0,0,0,1,0,0,1,2,0,0,1,1,0,0,0,1,1,0,1,1,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0,2,1,0,1,1,0,0,1,1,0,1,2,1,0,2,1,1,0,0,0,0,1,2,2,0,0,0,2,1,0,1,0,0,0,0,1,0,1,1,0,1,0,1,1,2,0,0,0,2,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,2,0,0,1,0,0,1,0,1,2,0,2,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,2,0,0,1,0,0,0,0,2,1,1,0,1,0,0,2,1,0,1,0,0,2,0,0,1,1,1,1,0,0,1,1,1,1,0,1,0,2,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,1,1,1,1,1,2,2,0,1,1,0,0,1,0,0,1,1,2,0,0,0,1,0,1,0,2,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,2,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,1,1,2,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,2,0,1,1,0,1,2,0,0,0,0,1,2,1,0,1,0,0,0,0,1,1,1,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,2,0,0,2,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,2,0,0,0,0,1,2,1,1,0,0,0,0,0,1,0,1,2,0,1,1,1,0,1,1,0,0,0,1,0,0,0,2,0,1,1,0,1,2,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,2,1,0,1,0,0,0,2,0,0,2,0,0,0,0,1,1,1,1,0,1,2,0,0,0,0,0,2,0,0,1,0,1,2,2,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,0,2,1,0,0,0,1,0,0,0,0,0,0,2,2,1,1,0,1,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0,0,2,0,2,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,2,0,1,0,1,1,1,0,2,1,1,1,1,0,0,1,1,0,0,0,0,2,2,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,2,0,0,1,1,0,0,1,1,0,0,2,0,0,0,0,1,1,0,0,0,0,2,1,0,0,2,2,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,2,0,2,0,0,2,0,0,1,0,1,1,0,2,2,0,0,0 1,0,2,1,0,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,2,1,1,1,0,0,0,0,2,0,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,2,0,0,2,1,1,1,0,0,1,0,0,0,0,1,1,0,0,2,1,1,0,2,2,1,0,0,0,0,2,0,0,0,1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,2,1,1,0,0,0,1,1,0,0,1,0,2,0,1,2,2,2,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,1,0,0,1,1,0,2,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,2,0,0,1,0,1,0,2,1,0,0,2,2,0,1,1,1,1,1,2,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,2,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,2,1,0,2,0,1,2,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,2,0,1,0,1,0,2,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,2,0,1,0,1,2,1,2,0,1,0,0,2,1,1,0,1,1,0,1,1,0,0,0,0,2,1,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,2,0,0,0,1,1,2,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,1,1,1,0,1,0,1,0,1,2,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,2,1,1,0,1,0,2,0,0,1,0,0,0,1,1,0,0,0,0,1,2,1,1,1,0,0,0,0,1,1,2,2,0,0,0,0,0,1,1,0,0,0,1,0,0,2,0,0,1,0,0,1,2,0,0,1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,1,1,2,2,1,0,1,0,0,0,1,0,0,0,0,0,0,2,1,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,2,1,0,0,1,1,0,0,0,2,1,0,0,0,0,1,1,0,1,0,1,1,1,1,1,1,1,0,1,0,2,1,0,1,0,1,0,0,0,2,0,0,0,1,0,0,0,2,1,1,0,2,0,0,1,1,0,1,1,1,1,0,2,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,2,0,0,0,0,2,0,0,0,0,0,0,0,0,1,2,0,2,1,0,0,0,0,1,0,2,2,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,1,2,1,1,1,1,1,0,0,2,1,0,0,0,2,1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,2,0,1,0,1,0,1,2,1,0,0,0,0,0,0,0,2,0,0,0,0,1,2,0,2,0,1,2,0,0,2,1,1,0,0,0,0,0,0,2,0,0,1,1,1,1,1,0,0,1,1,1,1,1,0,0,1,1,1,0,0,0,2,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0,2,1,0,1,2,1,0,2,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,2,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,2,2,2,1,0,1,0,2,1,0,0,1,1,2,0,0,1,0,0,1,1,1,0 0,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,2,0,0,1,2,2,2,1,0,1,0,2,1,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0,1,2,0,1,1,0,0,1,2,0,0,0,0,0,0,0,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,2,0,1,0,0,1,0,1,1,1,1,0,2,2,0,1,1,0,0,0,1,2,0,1,0,2,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,2,0,1,0,0,1,1,1,0,1,2,2,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,1,1,2,2,0,0,0,1,1,0,1,0,1,0,2,1,1,2,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,2,0,0,0,0,0,1,1,1,2,2,0,0,2,1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,2,1,0,0,1,1,1,1,1,0,1,2,0,1,1,0,1,0,0,1,0,0,0,0,0,1,2,1,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,2,2,0,0,1,1,0,0,1,1,1,2,0,1,0,0,2,1,0,0,1,1,0,1,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,0,0,2,0,1,1,0,2,1,2,2,1,2,0,1,1,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,2,1,2,1,2,0,0,2,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,2,0,0,1,1,1,2,1,0,0,0,1,0,0,0,0,1,0,0,2,1,0,0,0,0,1,2,1,0,0,0,0,1,0,0,0,0,0,2,1,0,1,0,0,0,2,2,1,0,1,0,0,1,2,0,1,0,0,1,2,0,1,1,1,1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,1,2,1,0,1,2,0,2,1,2,1,1,2,1,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,2,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,2,0,0,0,0,0,2,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,1,2,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,2,1,0,0,1,0,1,1,0,0,2,0,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,2,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,2,1,0,1,1,1,2,1,1,1,0,0,0,1,1,1,2,2,0,1,1,0,0,1,0,1,1,0,2,0,0,1,0,1,1,1,0,0,0,1,0,1,1,1,1,1,0,2,0,1,0,0,0,0,1,0,0,2,2,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,1,2,0,0,0,0,1,1,1,1,1,1,0,0,1,0,0,0,2,0,0,0,1,0,0,1,1,0,1,0,1,0,2,2,0,2,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1,2,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,1,1,0,1,0,0,0,0,1,0,1,2,0,0,0,0,2,0,0,1,0,0,0,1,0,1,0,1,0,1,2,1,1,0,0,0,0,1,1,0,2,0,0,0,0,1,1,2,2,1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,2,1,1,0 1,1,1,2,0,0,0,1,0,2,0,0,0,0,1,2,1,0,0,0,0,1,0,0,0,1,1,1,0,0,2,0,1,1,0,0,0,2,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,2,1,0,0,0,1,1,0,2,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,1,2,2,0,0,0,2,0,1,1,1,1,1,0,0,2,1,0,0,0,0,0,1,1,1,1,0,1,1,0,2,0,0,1,0,1,0,1,0,0,0,2,1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0,1,2,0,0,1,1,0,1,1,1,0,1,2,0,0,0,2,0,0,0,0,1,1,2,1,0,1,0,1,1,0,0,1,0,0,0,2,1,1,1,0,0,0,2,0,1,0,0,0,0,1,2,1,1,0,1,0,0,0,0,0,1,0,0,0,2,0,0,2,1,1,1,1,0,1,0,1,0,0,0,1,2,0,2,1,0,1,0,0,1,0,0,2,0,0,0,2,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,2,1,1,0,0,0,0,0,0,2,0,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,2,0,1,1,0,0,0,0,0,0,1,0,2,1,0,0,1,0,2,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,2,1,0,1,0,0,0,1,1,1,0,1,0,1,1,0,2,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,2,2,1,0,2,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0,1,1,0,0,2,1,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,1,1,1,0,1,2,0,1,0,1,0,1,0,2,0,0,1,2,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,2,1,0,0,1,0,1,0,1,0,0,0,0,1,1,1,0,1,0,2,1,1,0,1,1,0,0,0,0,0,1,1,0,1,1,2,0,0,0,1,0,1,0,0,1,1,2,1,1,2,1,0,1,2,0,1,0,1,0,0,2,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,1,2,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,1,2,0,0,1,2,0,1,0,0,0,0,2,1,0,1,2,1,0,0,2,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0,2,2,1,0,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,2,1,0,0,1,0,0,0,0,1,0,0,0,0,2,1,0,1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,2,0,0,0,2,0,0,0,0,0,1,1,1,1,0,0,1,1,1,1,0,0,0,1,2,0,1,1,1,0,1,0,0,0,0,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,2,1,0,0,0,2,0,0,1,0,1,0,0,0,1,0,0,1,0,2,0,0,0,0,0,1,0,0,1,0,0,1,0,2,0,1,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0 0,0,1,2,0,0,0,0,1,0,0,1,1,1,2,0,0,0,0,0,0,0,0,1,0,0,0,2,1,0,2,0,0,0,0,0,1,0,0,0,2,0,1,0,2,1,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,2,1,2,1,0,0,0,0,1,0,2,0,0,2,1,1,0,2,0,0,0,1,0,2,1,2,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,2,0,0,1,0,0,0,0,1,0,1,0,0,2,1,0,1,1,1,1,0,0,0,0,2,0,0,0,0,1,0,0,1,1,0,1,2,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,2,0,0,0,2,1,0,0,0,0,0,2,0,0,1,1,1,0,0,0,2,0,0,1,0,1,2,0,0,2,1,0,0,0,2,0,0,2,0,0,1,0,1,1,0,1,0,1,1,0,0,0,2,2,0,0,1,1,1,0,0,0,0,0,1,2,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,1,2,1,0,0,0,2,1,2,1,0,0,1,0,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,2,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,2,0,1,0,0,1,1,1,0,1,1,1,0,2,2,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,2,0,0,0,0,0,0,1,1,1,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,2,1,1,2,1,1,1,1,1,0,0,0,0,0,0,2,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,1,2,1,0,1,2,0,0,1,0,0,0,1,0,0,1,2,1,1,0,0,0,2,0,0,2,0,0,0,0,1,1,0,0,0,0,1,0,0,1,2,2,0,1,0,1,0,1,0,0,1,2,2,0,0,2,0,0,1,0,0,0,0,0,1,2,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,1,0,1,1,1,1,2,0,1,0,1,0,0,0,0,1,0,0,2,0,0,1,0,1,0,0,1,0,1,0,2,0,2,0,1,1,0,1,0,2,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,2,1,1,0,0,0,0,2,0,0,1,0,1,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,2,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0,0,0,2,1,0,1,0,0,0,0,0,1,1,2,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,2,2,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,1,0,0,1,0,1,1,2,2,2,1,0,2,1,1,0,0,0,0,0,1,0,0,2,1,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,2,0,2,0,0,1,1,0,0,1,1,0,0,1,2,0,1,1,0,0,0,1,0,1,0,0,1,1,0,2,2,0,0,0,0,0,2,0,0,0,1,0,0,1,2,1,1,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,0,2,1,0,2,0,1,0,0,1,1,0,1,0,1,1,1,0,0,1,0,2,2,0,0,0 2,0,1,1,2,0,0,1,0,0,1,0,0,0,0,0,2,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,1,0,1,1,2,1,0,0,0,0,2,1,2,0,0,0,1,1,0,0,0,0,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,2,0,2,0,0,1,0,0,0,1,0,1,0,0,1,1,2,0,1,0,0,0,1,2,0,1,0,0,0,0,2,0,0,1,0,2,1,0,0,0,1,0,1,2,2,0,1,0,2,2,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0,2,0,1,0,2,1,0,0,0,0,1,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,1,1,1,0,1,0,1,2,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,1,1,2,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,2,0,0,1,0,0,0,0,0,0,0,2,1,0,0,1,0,1,1,2,1,1,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,2,0,0,0,0,1,1,0,0,2,0,1,0,1,0,0,1,1,1,0,0,0,0,0,1,0,2,1,1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,1,2,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,1,2,0,2,0,0,1,0,2,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,1,1,2,1,1,2,2,1,1,2,0,0,0,0,0,0,2,1,0,1,1,0,0,1,0,2,0,0,0,0,0,0,1,1,0,2,0,0,1,1,1,0,0,2,0,1,1,0,0,0,0,0,1,0,0,0,2,0,1,1,1,0,0,0,0,2,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,2,0,1,0,0,0,0,2,0,0,1,1,0,0,0,1,1,1,1,1,0,1,0,1,0,1,1,0,1,2,1,0,0,0,0,1,0,2,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,2,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,1,2,0,2,0,2,2,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,2,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,0,2,1,1,0,0,0,0,0,1,1,0,0,0,0,2,1,0,0,0,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,2,1,1,1,0,1,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,2,0,0,0,0,0,2,0,1,1,0,2,2,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,1,0,1,2,1,0,0,0,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,1,1,1,2,1,0,0,0,1,1,0,0,0,0,2,0,0,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,2,1,0,0,2,0,0,1,2,1,1,0,1,1,1,0,1,0,2,0,2,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,2,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0,2,0,0,0,2,0,0,1,0,0,1,0,0,0,1,1,2,2,0,0,0,1,0,0,1,0,0,1,0,0,0,0,2,2,0,0,0 0,0,0,1,1,0,0,0,0,1,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,2,2,0,0,1,2,0,2,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,2,0,0,0,0,0,2,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0,1,0,1,0,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,1,2,0,0,0,0,1,1,0,2,1,0,1,0,0,0,0,1,0,2,0,1,2,0,0,0,1,0,0,2,0,0,0,1,1,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,2,0,0,0,0,2,0,0,1,1,2,2,0,0,0,2,0,1,1,0,1,1,0,0,2,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,2,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,1,1,1,0,0,2,0,2,0,0,0,2,0,0,0,1,1,0,1,2,0,0,1,0,0,0,0,1,1,1,1,1,1,1,0,2,1,1,0,0,0,0,0,0,1,2,2,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,0,0,1,0,0,0,0,1,0,1,0,1,0,0,1,2,1,0,0,1,1,0,0,2,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,2,0,2,1,0,1,0,0,0,0,1,2,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,1,0,0,0,0,1,2,1,1,0,0,0,1,0,1,1,1,2,1,0,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,2,2,1,1,0,1,1,0,0,0,1,0,0,2,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,1,2,1,0,1,0,0,0,0,0,0,0,0,0,1,2,2,0,0,0,1,0,0,0,0,2,1,2,0,0,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,2,0,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,0,1,1,1,0,0,1,0,1,1,2,0,1,2,0,0,0,1,1,2,1,1,1,0,2,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,2,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,2,0,1,0,0,0,0,1,1,0,0,0,0,1,0,1,1,1,0,1,0,0,0,2,1,1,0,2,2,1,0,1,0,0,0,1,1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,2,0,0,0,2,0,0,0,1,1,1,1,0,0,2,0,0,1,0,0,1,0,1,1,1,0,1,0,1,1,1,0,0,0,2,1,0,1,0,2,1,0,1,1,2,1,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1,1,0,2,0,0,1,1,0,1,1,0,0,0,0,2,1,0,1,2,1,0,0,0,0,0,0,0,1,1,0,0,0,2,0,0,2,0,0,0,0,0,2,1,0,2,1,1,0,1,0,1,0,0,1,2,0,1,0,0,1,0,0,0,0,0,1,1,1,1,0,0,2,2,0,0,0,1,0,1,1,0,2,1,0,0,2,0,0,1,1,1,2,0,0,2,0,2,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,2,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0,1,1,2,0,0,1,0,0,2,0,1,1,0,0,0,1,1,1,1,0,1,1,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0 1,0,1,0,0,1,0,1,0,1,2,1,0,0,1,0,0,2,1,0,0,0,0,0,0,1,0,2,0,1,1,0,1,1,1,0,0,1,0,1,1,2,1,2,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,1,0,2,0,0,0,2,0,1,0,0,0,0,1,0,0,2,1,1,1,0,1,0,0,0,2,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,1,1,1,0,0,2,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,1,0,2,1,0,0,1,0,0,0,0,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,0,2,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,2,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,2,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,2,1,0,0,1,0,0,0,1,0,1,0,1,1,1,0,1,1,0,1,2,1,0,0,0,0,1,2,0,2,0,0,1,0,1,0,1,2,0,1,0,2,1,2,1,2,2,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,2,0,1,0,1,1,2,1,2,0,1,0,2,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,0,0,2,1,1,1,0,2,1,1,2,1,0,2,0,1,0,1,1,1,0,0,2,1,0,0,1,1,0,0,0,1,1,0,0,0,2,0,1,0,0,0,2,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,1,1,2,0,0,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,1,1,0,1,0,0,1,0,2,0,1,0,1,0,1,0,0,0,1,0,2,0,1,0,0,1,0,1,1,2,2,0,0,0,1,1,0,0,1,2,0,0,1,1,0,1,0,1,1,1,1,0,0,1,2,0,0,1,0,0,0,0,0,2,0,0,2,1,0,1,0,1,1,1,2,1,0,0,2,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,2,0,0,1,0,0,0,1,0,1,1,0,1,0,1,0,1,0,2,2,2,0,1,2,0,0,1,0,1,1,1,0,2,0,0,0,0,2,0,2,1,0,0,1,0,0,0,0,0,1,1,2,1,0,1,1,1,2,1,2,0,1,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,2,1,0,0,0,1,0,0,1,1,0,0,0,2,0,0,1,1,0,1,0,0,0,1,0,0,1,0,2,0,1,2,2,0,2,0,0,1,0,0,0,0,0,1,0,2,2,0,0,0,2,0,1,0,0,1,1,0,0,1,1,0,0,0,0,0,0,1,2,0,1,0,2,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,2,0,0,0,1,0,1,0,1,0,2,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,1,0,0,1,0,0,1,1,0,1,2,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,2,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,0,0,1,1,0,1,2,0,0,0,0,2,0,1,1,0,0,2,0,0,0,1,0,2,1,0,1,2,0,1,0,2,2,0,0,2,0,0,2,0,0,1,0,0,1,2,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,2,1,1,1,0 0,0,2,1,1,0,0,0,1,2,1,0,0,1,1,0,0,2,0,0,0,0,1,1,1,1,1,2,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,1,1,1,0,0,0,1,0,1,1,2,0,0,0,0,0,0,2,0,0,2,1,0,0,1,1,0,0,2,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,2,0,1,2,1,2,0,1,0,0,0,2,0,0,0,2,1,1,0,2,0,1,2,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,2,1,0,0,2,1,1,0,2,1,0,0,0,0,1,1,1,0,0,0,0,2,1,1,0,1,1,0,2,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,2,0,0,0,1,1,0,1,1,0,0,1,2,1,2,1,0,0,0,2,0,1,1,0,0,1,1,0,0,0,0,1,1,1,2,0,0,1,2,1,1,0,1,0,0,0,0,0,2,2,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,1,2,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,2,1,1,0,1,2,0,2,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,0,0,1,0,2,2,0,0,1,2,0,0,1,1,2,0,0,2,0,0,0,1,0,0,0,1,0,2,1,1,0,1,1,0,2,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,0,1,1,2,1,0,0,1,1,0,0,0,1,1,0,0,0,2,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,2,1,0,1,0,0,0,1,0,1,0,1,0,0,1,0,2,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,2,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,1,1,0,1,1,0,0,1,2,1,1,1,0,1,1,0,2,2,1,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,1,0,1,2,1,0,0,2,0,1,2,1,0,0,0,0,0,1,1,0,1,0,1,0,1,0,1,2,1,0,0,0,2,0,0,0,0,2,1,0,1,2,0,1,0,0,0,2,1,1,0,0,0,0,0,2,2,0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,2,2,1,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,2,1,1,2,1,0,1,2,2,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,2,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,2,0,1,0,1,0,0,1,2,0,0,0,0,0,0,1,0,1,1,1,1,0,2,0,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0,1,2,1,1,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,1,2,0,0,0,0,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,2,2,0,0,0,0,0,1,0,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,1,2,1,1,1,1,2,0,0,1,0,0,0,0,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,2,0,1,0,0,1,1,1,2,0,0,1,1,1,0,2,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,2,1,1,1,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0,2,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0,2,0,1,1,0,1,0,0,2,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,2,1,0,0,2,0,1,0,1,1,0 0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,1,1,1,1,2,2,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,1,1,1,2,0,0,1,2,0,1,1,0,0,0,1,2,1,0,0,0,0,0,1,1,0,1,0,1,0,2,1,1,0,0,1,1,0,0,0,1,1,1,0,2,0,0,0,0,0,0,2,0,2,0,0,1,0,0,1,0,0,0,0,0,2,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,1,1,0,0,0,2,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,1,1,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,0,1,2,0,0,1,1,1,0,0,1,0,2,1,1,0,0,0,1,0,1,1,0,0,0,0,1,1,2,1,0,0,0,1,0,1,1,1,1,0,0,1,0,2,0,1,1,0,1,0,1,0,1,0,2,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,2,0,0,1,1,0,2,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,1,1,1,0,1,0,0,1,1,2,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,1,2,1,1,1,1,1,0,2,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,2,0,1,0,0,0,1,2,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,0,1,0,0,1,0,0,1,1,1,0,2,0,0,0,1,2,0,0,2,0,0,1,0,2,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,2,1,2,0,0,1,0,2,1,1,0,0,0,0,2,0,0,2,1,2,0,1,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,1,2,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,2,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,2,1,0,1,1,2,1,2,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,1,0,1,2,2,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,2,1,0,0,1,0,0,1,0,0,0,0,2,1,2,0,0,0,1,0,0,1,0,1,1,0,0,1,1,1,1,1,2,1,0,2,1,0,0,0,1,1,0,1,0,0,1,1,0,2,0,2,1,1,0,0,0,1,0,0,0,2,0,0,1,1,0,0,2,2,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,2,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,1,1,0,1,1,0,1,1,0,2,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,1,0,0,0,0,1,0,2,0,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,1,2,0,0,1,1,0,0,0,1,0,1,1,2,0,0,1,0,1,1,1,0,1,0,1,1,1,2,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,2,0,0,2,0 0,0,1,1,0,0,0,0,2,1,1,1,0,1,0,0,0,2,0,0,0,0,1,0,1,1,0,2,0,0,1,0,0,1,0,0,1,1,0,2,1,1,0,0,1,1,0,0,0,2,0,0,1,0,1,0,1,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,2,0,0,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,2,1,0,1,0,1,1,0,0,1,0,1,0,1,2,0,0,0,0,0,0,0,1,1,2,0,0,0,2,0,0,0,0,1,2,0,1,0,2,1,1,1,1,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,2,0,0,0,0,0,2,0,1,1,0,1,0,1,1,2,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,1,1,1,0,0,1,0,2,1,0,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,1,1,0,1,2,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,1,2,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,2,0,0,1,1,0,0,0,0,0,2,0,0,0,2,1,0,0,0,0,0,1,2,1,0,1,0,0,1,0,1,1,0,0,1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,2,2,0,1,0,0,0,0,0,0,0,0,0,0,2,1,1,1,0,0,0,1,1,1,0,1,2,1,2,0,0,1,0,0,1,0,1,1,1,1,1,1,2,2,1,0,0,0,1,1,1,0,0,1,0,2,0,0,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0,1,2,0,1,0,0,2,1,0,0,0,1,1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,2,0,1,1,0,0,1,1,2,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,1,2,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,2,1,0,0,1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,2,0,2,1,1,0,1,2,0,1,0,2,0,2,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,1,0,1,0,1,1,0,1,1,0,2,2,0,0,1,2,0,1,2,0,0,1,1,0,1,0,0,1,0,0,0,2,0,2,1,1,0,1,1,1,0,1,1,0,0,1,1,2,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,2,1,1,0,2,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,2,0,0,1,0,0,0,1,1,0,2,0,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,2,0,1,0,0,2,0,1,0,1,0,0,0,0,1,1,1,1,0,2,0,0,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,2,1,1,0,1,1,0,0,1,1,0,0,1,0,0,2,0,2,1,0,0,1,2,0,1,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,1,1,0,2,1,1,1,0,0,0,2,1,1,2,1,0,0,0,2,0,0,0,2,1,1,0,0,0,0,1,0,0,0,1,0,1,1,1,0,1,0,2,1,0,0,1,0,0,0,0,1,1,2,0,1,0,1,1,2,0,0,0,0,1,0,1,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,2,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0 1,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,1,0,0,0,0,1,1,0,1,0,1,2,2,2,2,1,1,0,0,2,0,0,2,0,0,1,2,0,0,0,2,2,0,0,0,0,0,0,1,2,0,0,2,0,1,1,0,1,1,2,0,0,0,0,0,2,0,0,2,0,0,0,0,1,0,0,1,1,0,0,0,0,0,2,0,1,1,0,0,0,1,2,0,1,0,1,0,0,0,2,2,1,0,0,1,0,0,0,0,1,1,0,0,2,0,2,0,0,0,1,1,1,0,0,1,2,1,0,2,0,0,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,1,1,0,2,1,0,0,0,0,1,1,1,0,0,1,0,2,0,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,0,2,1,0,0,0,1,1,1,0,2,1,0,0,0,0,1,0,0,1,0,0,1,1,0,1,1,0,2,2,1,0,1,0,0,0,0,2,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,2,0,0,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,1,0,1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,1,0,1,2,0,0,0,2,1,0,0,1,1,1,0,2,0,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,0,1,1,1,1,0,1,0,2,0,0,1,1,0,1,2,1,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,2,1,1,0,2,0,0,1,0,1,1,1,0,1,0,0,1,0,0,0,2,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,1,0,1,1,1,1,1,1,0,0,1,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,1,2,1,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,2,0,0,1,2,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,2,0,1,2,0,2,1,0,1,0,1,0,1,2,0,2,0,0,1,2,1,0,1,1,0,1,1,1,2,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,2,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,2,2,1,1,2,1,0,1,1,0,0,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,2,0,2,2,0,0,2,0,0,1,1,2,1,0,0,0,0,0,1,2,1,1,0,0,0,1,1,1,1,2,0,0,0,1,0,2,0,1,0,0,0,1,0,0,0,1,1,0,2,0,1,0,0,0,2,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,1,2,2,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,2,1,1,0,1,2,0,0,1,0,0,0,0,1,2,0,0,1,0,0,0,1,1,0,0,2,2,0,1,1,1,1,1,0,0,2,0,1,2,1,0,1,1,1,0,1,1,0,0,2,1,1,0,1,1,0,2,1,0,1,0,0,0,0,2,2,0,1,1,0,2,0,0,1,1,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,1,1,1,0,1,0,0,2,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,2,0,1,0,0,1,2,0,2,0,1,0,1,1,0,2,1,1,0,0,0,1,0,2,0,0,0,0,1,1,0,2,0,0,0,0,1,0,1,0,1,0,0,2,2,0,0,1,0,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,1,1,0 0,0,1,0,0,0,0,2,1,2,0,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,1,1,0,2,1,0,2,0,0,0,1,0,0,0,2,1,1,1,1,0,0,0,1,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,2,1,2,2,1,2,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,2,0,0,0,1,0,1,0,2,0,0,0,1,0,0,2,1,2,0,0,0,0,1,0,1,0,1,0,1,0,0,1,0,2,0,1,1,0,2,2,1,0,1,0,0,2,0,1,0,1,1,0,0,0,0,0,0,1,2,0,2,0,0,0,0,0,1,0,1,0,0,0,1,1,2,1,0,2,1,2,0,0,0,1,0,1,0,0,2,1,2,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,2,1,1,1,0,0,0,2,1,0,1,1,0,0,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,1,0,1,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,2,1,1,0,0,0,0,1,0,0,2,0,0,1,1,1,1,0,0,1,1,1,2,1,1,1,1,0,1,1,0,0,1,0,2,2,0,1,0,0,2,0,2,0,1,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,1,0,0,1,1,2,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,2,1,2,1,1,0,2,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,2,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,1,2,1,0,0,0,0,1,0,0,0,1,0,0,1,0,2,0,0,2,0,0,0,1,0,0,0,1,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,2,1,0,2,1,1,2,2,0,0,2,2,1,1,0,0,0,0,1,2,1,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0,2,2,1,0,2,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,2,0,1,1,0,0,1,0,0,0,0,1,0,0,2,1,0,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,2,0,0,2,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,2,0,0,1,1,0,1,0,1,0,0,0,1,1,0,1,0,1,1,2,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,1,1,1,2,2,0,0,0,0,1,0,2,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,2,2,1,0,1,0,0,0,0,1,0,2,1,1,1,1,0,0,1,0,0,1,2,0,0,1,1,1,0,0,0,0,2,0,0,2,1,1,0,0,2,0,0,0,1,2,1,1,0,0,0,1,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,1,0,1,0,1,1,0,1,0,1,0,1,1,0,2,0,2,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,2,1,1,0,0,1,1,0,1,0,0,2,0,1,0,0,1,0,0,1,1,1,0 0,0,0,1,0,0,1,0,1,1,1,1,1,2,0,0,0,1,0,0,0,0,0,0,2,0,0,2,0,0,0,0,1,0,0,0,1,0,0,1,0,2,0,1,1,1,1,1,0,1,2,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,2,2,1,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,2,0,2,1,0,0,0,0,0,0,2,0,1,1,0,0,0,0,0,1,0,1,0,2,1,0,2,1,0,1,2,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,1,0,1,1,1,1,1,0,1,0,2,1,0,1,0,0,1,0,0,1,0,0,2,1,0,2,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,2,0,1,2,2,0,1,1,1,1,2,0,1,1,0,0,0,2,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0,1,0,1,0,2,1,0,0,1,2,0,0,0,2,2,1,2,1,1,1,0,1,2,0,0,0,0,0,1,2,0,0,1,1,2,0,0,0,2,0,1,0,0,1,0,0,1,0,1,1,2,0,1,1,1,0,0,2,0,0,0,1,1,1,0,2,1,0,1,0,0,0,0,1,1,1,0,2,1,1,1,1,0,2,0,0,1,0,0,0,1,0,0,0,1,0,0,2,1,1,1,0,0,0,0,0,1,1,1,1,2,0,1,1,0,0,1,0,0,2,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0,0,1,1,0,1,2,0,1,1,0,2,0,2,1,0,2,0,1,0,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,2,1,0,2,1,0,1,1,0,1,0,0,0,0,1,2,0,1,1,1,0,2,1,0,2,1,0,0,0,1,0,0,1,0,1,1,0,1,2,0,0,0,0,0,0,1,1,2,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,0,1,1,2,1,1,1,1,0,1,0,1,1,0,0,0,0,2,0,2,1,1,1,0,0,1,1,1,1,1,0,0,1,0,1,2,0,0,2,0,0,2,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,2,0,0,0,2,1,0,1,1,1,0,2,0,0,1,0,1,0,1,0,1,1,1,0,1,0,0,2,2,0,0,0,1,0,2,1,1,1,1,0,0,0,0,1,1,0,2,0,0,0,1,2,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,1,2,2,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,2,0,0,1,0,1,2,0,0,1,0,0,2,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0,2,1,0,1,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,2,1,1,0,1,1,1,2,1,0,1,2,0,0,1,2,0,0,2,0,1,2,1,0,1,0,2,0,0,1,1,0,1,2,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,2,0,2,0,0,0,2,0,0,0,1,2,0,0,0,2,1,0,1,0,0,0,0,0,1,2,1,0,1,0,1,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0 1,0,1,1,1,0,0,2,0,1,1,0,0,1,0,0,1,0,0,0,0,1,1,1,1,1,1,2,0,0,1,0,1,1,0,0,1,2,1,0,2,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,2,0,0,0,1,0,2,0,0,1,2,1,0,0,1,0,0,0,1,0,0,0,1,0,1,1,2,1,2,0,0,0,1,0,1,0,2,0,0,2,1,1,1,0,0,1,0,1,0,1,0,1,1,1,0,2,1,0,1,1,1,0,0,0,0,2,2,0,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,2,0,1,0,0,2,0,0,2,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,1,2,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0,2,0,2,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0,2,1,2,1,0,0,1,0,1,0,2,0,0,0,0,0,0,1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,2,0,1,0,0,0,1,0,1,2,0,0,1,2,0,0,0,1,0,0,2,2,0,0,0,2,0,0,1,1,0,2,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,2,1,0,0,0,1,0,0,1,2,0,0,0,1,0,0,2,0,0,0,1,0,2,0,1,1,0,2,0,1,0,2,2,1,1,1,0,0,1,0,0,0,0,2,1,0,1,1,2,0,0,0,0,0,0,0,1,1,0,1,1,2,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,2,1,0,1,0,0,1,1,2,1,1,1,1,0,2,2,0,0,2,1,0,0,0,0,0,2,1,2,1,0,0,2,1,0,0,0,0,1,1,1,2,0,1,1,0,1,1,0,1,1,1,1,0,2,0,1,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,0,1,2,0,1,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,2,0,1,0,0,1,1,1,2,0,2,0,0,0,1,1,1,1,0,1,1,1,1,2,0,0,0,1,1,0,0,1,2,1,2,0,0,0,1,0,0,1,0,1,1,0,2,0,0,1,0,2,0,2,0,1,1,0,1,2,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,0,1,2,0,1,1,0,0,2,0,1,1,1,0,0,1,0,0,1,0,0,2,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0,2,1,1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,1,2,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,2,0,1,1,1,0,0,1,1,0,0,1,2,0,0,2,2,0,1,0,0,2,0,0,0,0,1,1,1,1,1,2,2,0,0,0,0,0,1,2,1,2,0,2,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,2,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,2,2,2,2,1,1,2,0,1,0,1,2,1,0,0,0,2,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,2,0,0,1,0,0,1,2,1,0,1,0,0,1,0,0,0,2,0,1,0,2,1,1,0,0,1,0,0,1,0,0,1,0,2,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,1,1,0,2,0,0,1,1,0,0,0,0,0,0,0,2,2,0,2,0,0,0,2,0,0,1,0,0,1,0,1,2,0,0,0,1,0,0,0,1,2,0,0,0,0,2,1,0,0,0,0,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0,2,0,0,1,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0 1,0,2,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,2,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,0,2,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,1,1,0,0,1,0,2,0,0,1,1,1,0,1,1,2,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0,1,1,2,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1,1,1,2,0,1,1,0,1,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,2,0,0,1,1,0,0,0,0,0,0,1,2,0,1,1,0,1,0,0,0,1,2,1,1,1,1,0,0,0,0,1,0,1,0,0,1,1,1,2,0,0,0,0,1,1,0,0,0,0,0,2,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,2,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,0,2,1,1,0,0,0,1,2,2,0,0,0,0,2,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,1,2,0,1,0,0,0,1,0,0,1,0,2,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,2,1,0,1,1,2,1,2,1,0,0,0,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,2,1,0,2,0,1,1,0,1,1,1,0,0,1,0,0,1,0,1,2,0,1,0,0,0,0,0,0,1,1,1,0,2,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,2,0,0,2,1,0,2,0,1,1,0,1,1,1,1,2,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,2,1,1,0,1,0,1,0,1,0,2,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,2,0,1,0,0,1,0,0,1,0,1,1,0,1,0,0,2,0,2,0,0,1,2,0,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,2,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0,2,1,0,1,2,0,1,0,0,0,2,0,0,2,1,1,0,1,1,0,0,2,0,0,0,0,1,1,1,1,1,0,1,0,0,0,2,1,0,1,0,1,0,0,2,0,1,0,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,2,1,0,1,0,0,0,0,1,2,1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,2,0,0,0,2,2,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,2,0,1,2,0,2,1,2,2,0,0,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,1,1,2,2,1,0,0,1,0,2,0,0,1,0,1,2,0,1,1,0,2,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,1,1,0,1,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,1,2,0,1,1,0,0,0,2,0,0,0,0,0,1,1,1,0,1,1,1,2,0,0,1,1,1,2,0,0,1,0,0,0,0,0,2,1,0,0,0,1,1,2,0,1,0,0,0,0,0,1,0,0,0,2,0,1,0,0,2,2,1,1,2,0,0,0,0,0,0,0,0,1,2,1,0,0,0,2,0,0,2,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,2,1,1,0,2,0,0,0,0,0,1,1,1,0 1,0,1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,2,1,1,0,0,0,0,2,0,0,1,0,1,0,0,1,0,1,0,1,0,1,1,1,2,0,0,0,1,0,1,0,2,0,1,1,0,0,1,0,0,1,1,0,0,0,2,0,2,2,1,0,0,0,0,0,0,2,1,0,0,0,2,0,2,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,2,0,0,0,0,0,1,1,1,0,0,0,2,0,1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,1,0,1,0,2,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,1,1,0,2,2,0,2,0,1,0,0,2,1,0,0,1,0,0,1,0,0,1,2,0,1,1,0,0,0,0,1,2,0,1,1,0,0,1,1,1,2,0,1,0,2,0,1,2,2,0,0,0,1,1,0,0,1,1,0,0,2,0,1,0,0,0,1,0,0,2,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,1,2,0,1,0,1,1,1,1,2,1,0,0,0,1,0,0,0,1,0,1,1,2,2,0,1,0,0,1,0,0,0,1,0,1,1,1,0,2,0,1,0,2,0,0,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0,2,0,0,0,0,0,1,1,0,0,1,0,0,1,1,2,0,0,2,1,0,0,1,0,0,1,0,2,0,0,1,0,1,1,1,1,2,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,2,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,1,0,2,0,2,1,1,2,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,2,0,0,1,0,1,1,0,0,2,2,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1,1,0,2,0,0,0,1,0,0,0,2,0,0,1,1,0,0,1,0,1,2,2,0,0,1,0,0,0,1,2,0,0,0,1,2,2,1,0,1,2,0,0,0,2,2,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,1,2,0,0,1,1,0,1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,1,1,1,1,2,0,0,0,2,2,0,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,2,0,1,1,1,0,0,0,2,2,1,0,0,1,0,0,0,0,2,1,1,0,0,0,1,1,1,1,0,1,0,2,1,0,0,0,1,1,0,1,2,1,1,0,0,0,0,1,1,0,0,2,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,0,1,1,1,0,0,1,2,0,0,2,1,0,2,0,2,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,0,0,1,1,0,1,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0,2,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,1,0,2,2,0,0,0,0,0,1,1,1,0,0,0,0,0,2,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,2,0,1,2,1,0,0,1,2,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,2,1,0,0,0,0,0,0,1,2,1,0,0,1,0,0,1,0,2,1,0,0,2,1,0,0,1,1,1,0,0,2,0,2,0,0,0,0 0,0,2,1,2,1,0,1,0,2,1,0,0,1,1,1,0,0,0,0,1,1,0,1,1,1,1,2,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,2,0,0,0,0,2,1,0,1,0,2,0,0,2,2,2,1,0,0,1,0,0,1,1,0,0,0,0,0,0,2,2,1,0,1,0,2,0,0,0,0,2,1,1,1,0,0,1,0,2,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,1,2,1,1,1,1,1,1,1,0,0,1,2,0,1,0,1,0,1,1,2,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,2,1,0,0,0,1,0,0,0,1,0,2,1,2,1,2,0,1,1,0,2,1,0,1,0,1,0,0,0,0,0,1,0,2,1,0,0,0,0,2,0,0,1,1,1,1,1,1,0,0,0,1,0,1,2,0,2,0,2,0,2,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,2,1,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,1,1,1,1,0,2,0,0,1,0,1,1,0,1,0,2,0,1,0,1,0,0,0,0,1,0,0,0,2,1,0,1,1,0,0,0,0,1,1,0,2,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,2,1,1,0,1,0,0,0,0,2,0,1,0,0,0,0,1,0,1,0,0,2,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,2,2,0,1,0,2,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,2,0,0,0,0,1,1,0,2,2,1,1,1,1,1,2,1,0,0,0,1,0,0,0,0,1,2,0,0,1,0,1,0,0,0,0,0,1,0,2,1,0,2,2,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,2,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,2,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,1,1,1,1,0,1,1,0,1,0,1,0,2,2,0,0,1,1,2,0,0,1,2,2,0,0,1,1,1,0,1,1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,0,1,1,0,0,0,0,0,2,0,0,0,1,1,1,0,0,0,2,0,0,0,1,2,0,1,0,1,0,2,0,0,0,0,0,1,1,0,0,1,1,2,1,2,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,2,1,0,1,2,0,1,1,1,0,1,0,2,0,1,0,0,0,2,1,0,1,1,0,1,0,0,0,2,0,0,0,1,0,1,1,0,1,2,0,0,0,0,0,0,0,1,0,0,2,0,0,2,1,1,2,1,0,0,0,1,1,1,0,2,0,1,2,0,1,0,1,0,0,1,0,1,2,0,0,0,0,0,2,1,0,0,1,0,0,0,2,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,2,1,1,1,0,0,1,0,0,2,0,2,0,0,0,0,0,2,1,1,0,1,1,0,0,0,2,2,0,0,1,1,0,0,2,0,2,1,2,0,0,0,1,1,0,0,0,0,2,0,2,1,1,1,0,0,0,1,1,1,0,2,0,0,1,0,0,2,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,2,0,0,0,2,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0,0,1,1,1,2,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,0 0,0,1,1,1,0,0,1,0,0,0,0,0,1,1,2,0,1,0,1,0,0,1,0,1,1,0,0,2,0,1,0,1,1,0,0,0,0,1,2,2,1,0,2,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,2,0,0,1,0,2,1,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,2,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,2,1,0,0,1,0,2,1,1,1,1,1,1,2,0,1,0,0,2,0,0,0,2,0,0,0,0,1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,2,0,0,1,1,2,0,0,2,0,2,0,0,1,0,0,1,0,0,0,2,0,2,1,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,2,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,2,0,2,0,0,0,1,2,2,0,0,1,2,0,1,1,1,1,0,1,0,2,0,0,0,1,1,0,1,1,1,0,0,0,2,0,0,1,0,0,0,0,2,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,2,0,0,0,0,0,1,1,1,1,1,2,0,2,1,2,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,1,2,1,1,2,1,0,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,0,2,1,0,0,0,0,1,1,0,0,1,0,1,2,1,1,1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,1,2,0,1,1,1,0,1,1,1,0,1,0,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,1,0,0,1,0,1,2,0,0,0,2,0,0,1,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,2,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,2,1,2,0,0,0,0,0,0,2,0,0,1,1,0,0,2,0,1,1,0,1,1,1,1,1,1,0,2,1,0,1,0,0,0,0,0,1,2,1,0,1,0,0,0,2,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0,2,0,0,0,1,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,2,0,0,1,2,0,1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,2,1,0,2,0,0,1,1,0,1,0,2,1,2,1,0,0,1,1,0,1,1,0,1,1,1,0,1,2,0,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,2,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,1,2,0,0,0,0,0,0,2,1,1,1,2,0,0,0,0,2,1,0,1,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,2,0,1,1,0,1,1,1,0,1,0,0,0,0,2,0,0,0,1,2,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,2,1,0,0,0,1,0,1,1,2,0,0,1,0,1,1,0,1,2,1,0,0,0,0,0,2,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0 1,0,1,0,0,0,0,1,0,1,1,0,0,1,1,2,0,1,1,0,0,1,1,1,0,1,0,1,0,1,2,0,0,1,0,0,1,2,0,0,0,1,1,2,1,1,0,2,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,1,2,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,1,0,1,1,0,1,1,0,2,0,1,1,0,2,2,1,0,0,0,0,1,0,0,1,1,1,0,0,2,1,1,2,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,2,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,2,2,0,2,1,1,0,2,0,2,2,1,0,0,0,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,2,1,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,2,0,0,1,1,0,1,1,0,1,2,0,0,1,2,0,1,0,0,1,2,2,0,0,0,2,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,2,2,0,0,0,1,0,1,1,1,0,0,0,1,1,2,2,0,1,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,2,0,1,0,0,0,1,2,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,2,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,1,2,1,0,1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,1,2,1,0,2,0,0,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,1,1,2,1,0,1,0,0,0,0,2,0,0,0,0,1,0,0,1,1,0,0,0,0,2,2,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,2,0,0,0,0,1,1,1,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,2,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,1,1,1,2,0,0,2,2,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,2,1,1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,2,1,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,2,0,0,1,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,2,0,0,2,0,2,0,0,1,0,1,2,0,0,0,2,1,2,0,0,1,2,1,0,0,1,2,1,0,0,0,0,1,0,0,2,0,2,1,0,0,0,1,0,1,0,1,0,0,0,1,1,2,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,0,2,1,0,0,0,2,1,1,0,1,0,1,0,0,0,0,1,2,1,0,0,0,1,0,0,0,1,2,2,1,1,0,1,2,0,0,0,0,2,1,0,1,1,0,0,0,0,2,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,2,1,1,0,1,1,1,1,0,1,1,0,2,0,1,1,0,2,1,0,0,1,1,0,1,2,2,2,0,1,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,1,2,0,2,1,0,0,0,0,1,0,0,0,1,1,2,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,2,0,0,0,1,1,1,1,1,0,1,0,0,2,1,0,0,2,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,0,1,1,1,0,2,1,1,1,2,1,2,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0,1,1,2,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0 1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0,2,0,1,0,0,0,1,0,1,2,1,2,0,2,0,2,0,0,1,0,0,0,1,0,1,1,1,2,1,0,0,1,1,1,0,2,0,0,0,1,0,2,1,0,1,0,0,0,0,0,1,0,0,0,2,0,1,0,1,1,0,0,2,0,1,0,2,0,1,1,1,2,2,0,0,0,1,2,0,0,0,1,0,0,0,1,2,2,0,1,0,0,0,0,1,2,2,0,0,1,0,1,0,0,1,1,1,0,2,0,0,0,0,1,2,0,1,1,1,1,1,1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,2,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,2,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,2,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0,1,1,2,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,1,1,1,1,1,2,0,0,1,1,2,0,0,0,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,2,1,0,0,0,1,0,0,0,2,1,0,0,1,0,0,1,1,0,2,1,1,1,0,0,1,1,1,1,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,2,0,2,0,1,0,0,2,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,1,0,2,0,1,1,2,0,0,2,0,1,0,0,0,0,1,2,0,0,1,0,1,0,0,0,0,1,0,0,1,2,0,0,0,0,2,0,0,0,2,1,1,0,1,0,0,0,0,0,0,0,1,2,0,1,0,0,1,0,0,0,2,0,0,0,0,1,0,2,1,1,0,0,2,1,1,0,0,0,0,0,2,1,2,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,1,2,0,1,0,0,1,1,0,0,1,0,0,1,0,2,2,1,0,1,0,0,2,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0,2,0,2,0,0,0,1,0,0,1,0,0,2,0,1,0,0,0,0,1,2,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,0,1,0,0,1,1,1,1,2,0,0,0,2,1,2,0,1,1,0,0,0,1,1,1,1,2,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,2,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,2,1,0,0,0,2,2,0,2,1,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,2,2,0,0,0,1,1,1,1,0,1,0,1,2,0,0,1,2,0,0,0,0,1,0,1,1,1,0,0,1,1,0,0,1,2,1,0,1,0,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,2,0,1,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,1,2,1,0,1,1,0,0,1,1,0,2,1,0,0,0,2,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,2,1,1,2,1,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,2,0,1,1,0,1,0,0,0,0,1,2,0,0,1,0,1,2,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,2,1,0,0,0 1,0,0,2,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,1,2,0,0,1,0,0,2,0,0,1,2,0,0,2,1,0,1,0,0,0,1,0,1,0,1,2,0,0,0,0,0,0,0,1,0,0,2,0,1,1,0,0,1,0,0,0,0,0,1,0,2,1,0,0,0,0,1,0,0,0,1,1,2,0,0,0,0,2,0,0,0,1,0,1,0,2,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,1,2,0,1,0,0,0,1,2,0,0,1,0,0,1,2,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,2,1,2,0,1,0,1,0,0,0,0,2,0,0,1,1,0,2,1,1,0,0,1,0,0,0,0,0,1,2,2,1,1,0,1,1,0,0,0,1,0,0,0,1,2,1,0,0,2,2,1,0,1,0,0,0,1,1,2,1,1,0,1,0,2,1,0,0,0,0,1,2,0,0,1,0,2,2,1,0,1,0,0,0,2,1,0,1,0,2,2,1,1,1,0,0,0,1,0,2,1,0,1,0,0,2,0,0,0,0,2,0,0,1,1,0,0,1,1,2,0,1,1,2,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,2,0,0,0,0,0,0,1,1,1,2,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,2,1,0,2,1,0,0,0,1,2,1,0,2,1,1,0,1,0,1,2,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,2,0,1,1,1,1,2,0,1,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,1,1,0,0,1,0,0,0,1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,2,0,1,0,0,1,1,2,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,2,1,0,0,1,2,2,0,0,0,0,1,1,0,0,0,0,0,2,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,0,1,0,2,1,1,0,0,0,0,1,0,1,1,0,1,0,0,1,2,0,1,1,1,2,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,0,1,1,0,0,2,1,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,2,0,0,1,2,2,0,0,1,0,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,1,1,1,0,2,0,2,1,1,1,0,0,1,0,1,1,1,0,0,1,2,2,1,1,0,0,1,1,1,1,0,2,0,0,2,1,2,0,1,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,2,0,0,1,0,0,2,0,1,0,1,1,1,0,1,1,0,0,0,1,2,1,0,1,2,1,0,0,0,0,0,0,0,0,1,2,0,2,1,0,1,1,1,0,0,0,0,2,2,1,2,1,0,1,0,2,0,0,1,0,0,0,0,0,2,1,1,0,1,0,0,0,0,0,0,2,0,2,2,0,0,0,2,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,2,0,1,1,0,1,0,0,1,0,2,2,0,0,0,0,0,1,1,0,0,0,0,0,2,0,2,0,0,0,0,0,0,1,0,1,0,0,0,2,1,1,2,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,2,0,0,0 1,0,1,0,1,0,0,1,0,0,1,1,0,2,1,0,0,1,1,0,0,0,1,0,1,0,0,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,2,0,0,0,0,0,0,0,0,2,1,0,1,0,0,1,0,0,0,0,2,0,0,2,1,0,2,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,2,0,0,1,0,1,1,0,0,1,2,1,2,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,2,1,2,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,2,0,2,0,1,0,1,0,0,2,0,0,0,0,0,1,0,0,2,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,2,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,0,1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,2,0,0,0,0,1,0,2,0,0,0,0,0,0,1,2,0,0,1,1,0,1,1,0,0,0,2,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,1,1,2,0,0,0,0,2,1,1,1,0,0,0,1,1,1,0,0,0,2,1,1,0,2,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,2,0,2,0,2,0,1,0,1,0,1,0,1,0,2,0,1,1,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,1,1,1,0,1,0,2,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,2,1,0,0,0,0,0,0,1,0,2,1,1,0,0,0,1,0,0,0,1,2,2,0,1,0,1,0,1,1,0,1,2,0,0,0,0,0,1,0,1,0,1,0,0,1,0,2,1,1,1,0,0,1,0,0,0,1,1,1,1,2,1,0,0,1,0,1,0,1,0,0,0,1,1,2,0,0,0,0,0,1,1,1,0,1,1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,2,2,0,2,2,0,1,0,1,0,0,1,0,1,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,2,0,1,2,0,0,1,0,0,0,2,0,0,0,0,1,1,0,0,1,0,2,0,1,0,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,1,1,2,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,2,0,2,0,2,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,2,0,1,0,1,0,0,0,1,1,0,1,1,0,2,0,0,0,1,0,0,1,0,1,2,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,1,0,0,1,0,2,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,1,1,1,0,1,0,0,2,0,1,0,0,1,0,2,1,1,0,1,0,0,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0 1,0,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,2,0,0,0,1,0,0,1,1,2,1,1,1,2,0,0,0,1,0,1,1,1,0,1,2,0,2,1,0,0,2,1,1,1,0,0,0,1,0,0,0,2,1,1,0,1,0,1,1,0,1,1,0,1,0,1,1,1,2,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,2,1,1,1,2,2,0,2,0,1,0,0,1,0,2,0,1,0,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,1,0,2,2,0,1,0,1,0,0,0,0,0,2,0,2,0,1,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,2,0,1,0,0,1,1,1,0,0,1,0,0,0,0,2,1,1,1,0,2,0,2,1,0,0,0,0,1,0,0,1,0,0,2,0,0,0,2,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,2,0,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,2,0,0,0,0,1,0,2,0,2,0,0,0,1,1,0,2,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,2,1,1,1,0,2,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,1,0,0,2,1,0,0,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,2,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,1,1,1,1,1,2,2,0,0,0,2,1,1,2,2,2,0,1,1,1,0,2,0,2,2,0,0,1,0,1,0,0,0,0,0,1,2,1,0,0,1,1,1,0,0,0,0,0,1,1,2,1,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,2,0,0,1,1,0,1,0,0,0,2,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,1,1,2,1,0,1,2,0,0,0,0,1,0,0,2,0,1,1,0,0,1,0,0,1,1,1,1,2,0,1,0,0,0,1,2,1,0,2,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,2,0,0,0,1,0,2,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,2,0,0,0,1,1,0,1,0,0,2,0,1,1,0,0,1,1,0,0,1,0,0,0,2,0,1,0,0,0,0,1,0,1,0,0,0,2,1,1,0,0,0,1,1,0,0,2,0,2,1,1,2,1,0,0,0,2,0,0,2,2,0,0,1,0,0,1,2,1,2,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,2,1,0,0,0,1,0,0,0,1,0,0,0,2,0,1,0,1,1,0,0,2,0,2,0,1,0,0,0,0,1,2,0,0,2,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,1,1,2,1,0,0,0,0,0,0,2,0,1,1,0,0,0,1,1,0,1,0,0,1,1,2,2,1,0,2,0,0,1,0,0,2,0,1,0,0,1,0,0,1,1,0,0,2,0,0,0,1,0,0,0,1,1,0,2,0,0,2,1,1,0,2,0,0,0,0,2,0,1,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,1,0,2,1,0,1,1,0,0,0,1,1,1,1,1,1,0,1,1,1,0,2,0,1,1,0,0,1,0,1,2,1,0,0,0,0,1,0,1,0,0,0,0,2,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,2,0,0,0,0,1,1,1,0,0,0,1,1,0,0,2,0,0,1,0,0,0,0,2,1,0,1,0,1,1,2,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0,0,2,0,0,0 1,0,1,1,1,0,1,2,0,1,2,0,0,1,1,1,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,2,1,1,0,0,0,0,1,0,0,1,2,1,0,0,2,1,0,2,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0,2,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,1,0,0,0,1,2,0,1,0,0,1,0,0,1,1,0,1,0,1,2,0,0,2,1,1,0,0,0,2,0,0,1,0,0,1,0,1,1,1,0,2,1,1,0,1,1,0,2,0,0,0,0,1,2,0,1,0,0,0,1,0,1,0,2,0,0,1,0,0,0,1,0,2,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,2,0,1,1,0,0,0,0,0,1,1,1,2,0,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,2,0,0,0,0,1,0,2,0,1,1,2,0,0,0,0,1,0,0,1,0,1,1,0,0,0,2,0,0,2,0,1,0,0,0,0,0,0,0,0,0,2,1,0,1,1,0,1,1,0,1,0,0,2,0,1,1,1,0,0,1,0,0,0,2,1,1,1,2,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,1,1,2,1,2,0,1,2,1,2,0,0,0,0,1,1,0,0,0,1,2,2,1,1,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,1,1,2,1,0,0,2,1,0,0,2,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,1,0,0,2,0,2,0,0,1,2,0,0,0,0,1,1,0,0,1,2,0,1,0,0,0,1,0,0,0,0,2,0,2,0,1,0,2,0,0,0,1,0,0,0,1,2,0,0,1,0,1,1,0,0,1,1,2,0,1,0,0,0,1,0,0,0,1,1,0,2,1,0,2,0,0,1,1,0,0,1,1,2,0,1,0,1,2,1,0,2,2,1,1,0,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,1,1,1,0,0,2,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,1,2,0,2,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,1,0,2,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,1,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,2,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,2,2,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0,2,1,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,2,1,1,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,2,2,1,0,1,1,1,0,0,0,0,1,1,0,2,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,2,1,0,0,0,1,1,2,1,2,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,0,1,0,0,1,1,1,1,2,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0,2,1,1,0,0,0,1,0,0,1,0,0,1,0,1,1,1,2,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0 0,0,0,2,0,0,0,1,1,0,1,0,0,2,0,1,2,1,0,0,0,1,1,0,1,1,1,2,0,2,1,1,1,0,0,0,0,1,1,0,2,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,1,1,1,2,0,2,0,1,1,0,0,0,0,1,2,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,2,0,1,0,2,0,0,0,0,0,1,1,2,1,0,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,2,1,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,1,2,0,0,1,1,2,0,1,2,0,0,0,0,0,2,1,0,1,0,0,0,0,1,1,2,1,0,1,1,0,0,1,0,0,2,0,1,0,0,0,0,0,0,2,1,1,1,2,0,0,1,0,1,0,1,0,0,0,0,2,0,0,1,0,0,0,0,2,0,0,1,1,1,1,2,0,1,0,2,0,1,0,0,1,0,0,0,2,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,2,0,0,0,1,1,1,2,0,1,0,1,1,1,1,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,2,0,0,0,0,1,1,0,0,1,1,1,1,1,0,1,0,2,2,2,0,1,1,0,1,0,0,1,2,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,1,2,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,2,0,0,2,0,0,0,0,1,2,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,2,0,0,1,2,0,0,1,1,0,0,1,0,1,0,0,0,2,1,1,1,1,0,0,1,1,2,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,1,2,1,0,2,0,0,0,0,1,0,0,1,1,0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,2,0,0,0,0,1,0,1,0,1,0,0,0,2,2,0,0,0,1,0,0,0,1,1,0,1,0,1,1,1,0,1,0,2,0,1,0,1,0,0,1,0,2,0,1,0,1,1,0,2,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,2,0,0,2,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,2,0,1,0,1,1,1,0,2,1,1,0,0,0,1,1,0,0,1,1,1,1,1,1,2,0,0,0,2,1,0,1,0,1,0,2,0,2,1,2,2,1,0,0,1,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,2,0,0,1,0,0,0,1,1,0,0,0,1,0,0,2,0,1,0,0,0,2,0,0,0,1,0,0,0,0,1,0,1,0,0,2,0,0,1,0,0,0,0,0,2,2,0,0,0,0,0,0,1,0,1,2,0,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,2,0,0,2,0,1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,2,2,0,0,0,0,1,1,0,0,0,0,2,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0,2,0,0,2,0,0,0,1,0,2,0,1,1,0,1,1,0,1,0,1,1,2,2,0,1,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,2,2,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,2,0,2,0,0,0,1,2,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,1,1,2,0,2,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,2,1,1,1,0 0,0,0,0,0,0,1,0,1,0,2,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,2,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,2,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,2,1,0,2,0,0,1,0,0,0,1,0,0,1,0,1,0,0,2,1,1,0,0,0,0,0,0,0,1,1,2,0,2,0,1,1,2,0,0,0,1,1,2,1,0,0,0,1,2,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,2,1,0,0,0,1,2,0,1,0,0,1,0,1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,2,1,2,0,1,0,1,0,1,0,0,0,0,0,1,0,1,2,0,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,2,0,1,0,1,0,1,0,2,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,2,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,2,0,1,1,0,0,1,0,1,1,2,0,0,0,1,0,1,0,0,0,2,1,0,2,0,0,1,0,0,0,1,2,1,1,0,0,1,0,0,1,0,1,0,0,1,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0,2,2,0,1,0,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,1,1,0,2,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,2,0,2,0,0,1,0,0,0,0,2,2,2,0,0,0,1,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,2,2,0,0,2,0,1,0,1,1,0,0,1,0,0,0,0,2,1,0,1,0,0,1,0,0,0,0,0,0,2,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,2,0,2,1,0,0,0,1,0,1,1,0,1,1,0,0,2,1,0,0,0,0,0,1,2,0,1,0,0,0,0,2,1,0,1,1,0,1,0,0,1,2,0,0,1,2,2,1,2,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,1,0,0,0,0,0,1,2,0,0,1,1,1,0,0,2,1,0,1,1,1,0,0,2,0,0,0,2,1,1,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,0,1,0,2,1,0,0,1,0,1,2,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,1,0,1,2,2,1,1,0,0,0,1,2,2,0,0,0,1,0,0,0,2,2,0,0,0,0,0,2,1,1,0,1,0,0,0,0,0,1,0,0,0,0,1,2,2,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,2,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,2,0,1,1,1,2,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,2,0,0,0,0,0,1,0,1,1,2,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,1,2,1,1,1,0,0,1,0,0,2,0,1,0,0,0,0,0,1,1,1,0,2,1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,1,1,0,0,2,0,0,0,1,1,0,1,0,1,0,0,2,0,1,0,1,1,2,1,1,1,0,0,0,1,1,0,2,1,0,1,0,1,0,0,2,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0 0,0,0,1,0,1,1,0,1,2,1,0,0,2,0,0,0,0,1,0,0,1,1,0,1,2,1,1,1,0,1,0,1,1,1,0,2,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,1,1,2,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,2,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,2,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,2,0,2,0,1,0,0,0,0,2,1,0,0,1,0,0,0,1,1,0,0,2,0,2,1,1,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,2,1,1,0,2,0,0,0,0,1,0,1,0,1,1,0,0,2,0,0,1,0,0,1,0,0,0,0,1,0,2,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,2,0,1,2,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,2,0,1,0,0,0,1,1,0,0,1,1,2,2,1,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,2,0,0,1,0,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,2,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0,1,2,0,1,0,0,1,1,0,0,0,1,0,0,0,1,2,0,0,2,0,2,0,1,0,1,1,2,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,1,0,1,0,0,2,1,1,0,0,2,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,1,0,1,1,0,0,2,2,0,0,0,2,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,2,1,2,0,0,1,1,2,0,0,0,1,0,0,1,0,1,0,0,0,0,2,1,0,1,1,1,0,1,1,0,0,1,2,0,1,1,0,0,0,0,2,1,0,0,1,0,0,1,0,2,0,2,0,1,1,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,1,2,0,0,1,1,1,0,0,1,1,0,0,0,1,0,1,2,0,0,0,2,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,2,1,0,0,0,0,1,0,1,1,2,2,0,0,0,1,1,1,1,0,1,1,0,1,0,0,0,2,1,1,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,2,0,0,2,0,1,0,0,0,0,0,0,1,1,0,0,1,0,1,2,0,2,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,1,1,2,0,1,0,1,1,0,1,0,0,0,2,2,1,1,1,1,0,0,0,0,2,0,0,0,1,0,1,0,1,0,0,0,2,0,0,0,0,1,1,0,2,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,1,2,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,2,0,1,2,0,1,0,1,0,0,1,1,0,1,2,1,0,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0,2,0,0,1,1,1,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,2,0,0,0,0,1,1,0,0,1,0,0,2,1,0,0,2,1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,2,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0,1,2,0,2,0 0,0,1,2,0,0,0,2,0,1,1,1,0,2,1,0,0,1,0,0,0,0,1,1,0,0,2,1,0,0,0,0,1,0,1,0,2,0,1,0,0,1,1,2,1,2,1,1,1,2,1,0,0,1,2,1,2,0,0,2,0,0,0,0,0,1,0,0,1,0,1,0,2,1,0,1,1,0,0,0,0,0,0,0,2,0,1,1,1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,1,0,2,1,0,0,0,1,2,1,0,2,0,0,0,0,0,0,0,0,0,2,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,2,2,1,2,2,1,0,0,1,1,0,0,2,0,0,1,1,0,0,0,0,0,0,1,0,1,1,2,0,0,1,0,0,2,1,0,0,0,1,0,1,1,0,0,2,0,0,1,1,0,0,1,0,0,2,0,2,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,2,0,1,1,0,0,0,1,0,0,0,0,0,2,0,2,0,0,0,1,0,0,2,0,0,2,2,1,1,2,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,2,0,0,0,2,1,0,1,0,2,0,0,2,1,1,0,1,0,1,0,0,1,1,2,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,0,2,1,0,2,2,0,1,0,1,0,0,0,0,0,0,2,0,0,1,1,0,2,2,0,2,0,2,0,0,0,2,0,1,0,0,0,0,2,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,2,0,2,0,0,1,0,0,1,0,0,1,1,1,1,2,1,2,0,1,1,1,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,1,1,1,0,0,0,2,0,1,0,0,1,0,1,1,0,0,0,0,0,1,1,1,0,2,0,0,0,0,2,1,0,1,0,1,0,0,1,0,1,0,0,1,2,0,0,1,1,2,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,2,0,2,1,0,2,0,2,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,2,0,0,2,1,0,0,0,0,2,0,0,0,1,1,2,0,1,0,1,0,1,0,0,0,2,1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,2,0,0,1,0,0,2,1,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,2,1,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,2,1,0,1,0,1,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,2,1,0,0,1,0,2,1,0,1,0,1,2,0,0,0,1,1,2,0,1,1,0,0,1,0,1,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,2,2,0,0,0,1,2,0,0,1,0,1,1,0,0,0,0,1,0,2,0,0,1,0,0,1,1,2,1,2,0,0,1,1,1,0,0,2,0,0,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,2,1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,2,1,1,1,2,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0,1,0,2,1,0,1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0,2,0,1,1,0,0,0,1,0,1,0,0,2,0,0,0,0,0,1,0,0,2,0,0,0,1,2,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,2,0,0,0 1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,2,0,0,0,0,0,0,2,0,1,0,0,1,0,2,0,0,2,1,0,0,2,1,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,1,1,0,0,0,2,0,0,0,1,1,2,1,0,0,0,0,0,1,0,2,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,1,1,0,0,1,0,1,1,0,1,2,1,1,1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,2,1,1,0,1,0,0,0,1,1,2,1,0,0,0,0,1,1,1,0,0,0,0,1,1,2,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,0,2,0,2,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,2,0,0,0,0,0,1,1,0,1,2,0,1,1,0,0,0,1,1,0,1,0,0,2,2,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,2,1,1,1,0,0,0,0,1,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,2,1,0,0,1,0,2,0,0,0,0,2,0,2,1,0,0,1,1,0,1,1,1,2,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,1,1,0,2,0,1,0,2,0,1,0,1,1,0,0,2,1,1,1,2,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,1,0,0,0,0,1,1,1,0,0,2,2,1,2,1,0,0,0,1,2,0,1,0,0,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,2,1,1,1,1,0,2,0,0,0,1,1,1,1,0,0,2,0,0,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,2,0,0,0,1,0,2,0,1,0,1,0,0,0,0,0,2,0,1,1,0,0,1,1,0,0,0,1,0,2,0,0,0,0,0,0,2,0,0,0,2,0,1,0,0,0,0,2,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,2,1,2,0,1,0,0,1,2,1,1,1,1,1,0,0,0,2,0,0,0,0,0,2,0,0,1,1,0,0,0,1,1,0,1,0,0,0,2,0,1,0,0,1,1,1,1,0,1,1,1,2,0,0,1,1,2,1,1,1,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,2,0,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0,2,0,0,1,0,1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,0,1,1,1,1,1,2,2,1,0,1,0,1,0,1,1,1,0,0,0,0,2,1,0,0,1,0,1,0,0,0,2,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,2,2,1,0,0,1,1,1,0,2,0,1,0,1,1,0,0,1,1,0,1,1,2,0,0,0,0,0,2,0,0,0,1,2,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,1,1,2,0,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,2,0,0,2,0,0,0,1,0,2,0,2,0,2,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,1,1,2,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,2,0,0,0,0,0,2,2,0,0,1,0,1,2,0,0,1,1,0,0,1,0,0,2,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,1,1,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,1,1,0 0,0,1,1,2,0,0,2,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,1,2,0,0,0,0,0,0,1,1,0,1,0,2,0,2,0,1,0,0,0,1,0,1,0,0,0,2,1,1,0,1,1,1,0,1,1,1,0,0,0,0,2,1,1,0,0,1,1,2,1,1,0,1,1,0,0,2,0,1,2,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0,2,1,0,1,0,1,1,0,0,0,2,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,1,0,1,0,1,1,0,1,0,2,0,0,2,0,0,1,0,0,0,0,1,0,1,1,0,0,2,1,1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,1,1,0,2,0,1,0,1,0,0,0,1,2,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,2,1,0,0,0,0,1,0,0,1,0,1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,2,1,1,0,0,0,0,1,0,1,1,0,1,1,0,2,0,1,0,0,1,0,0,2,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,1,0,1,0,0,1,0,2,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,1,1,0,1,2,0,0,0,2,2,1,0,1,0,0,1,0,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,2,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,2,0,0,0,0,1,2,1,1,2,0,1,1,2,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,1,2,0,1,1,0,1,1,1,1,2,0,0,0,1,0,1,2,1,0,0,0,1,1,1,1,0,1,1,0,0,0,0,0,1,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,1,1,0,2,0,1,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,2,1,1,1,0,0,1,1,1,0,2,0,0,1,0,0,0,2,0,0,1,1,0,0,1,1,2,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,2,1,0,1,0,0,1,0,0,2,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,2,1,0,0,0,0,0,2,1,2,1,1,0,1,1,0,0,1,0,0,2,0,0,1,0,1,0,0,1,1,2,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,2,0,1,2,1,0,0,0,0,0,2,0,0,1,0,1,0,1,1,1,1,0,0,1,0,0,1,2,1,0,0,0,0,0,1,1,2,1,0,1,0,0,0,1,0,0,2,0,1,0,0,2,0,1,1,1,1,0,1,1,0,1,1,1,0,1,2,0,0,0,2,0,0,0,2,0,0,0,1,0,1,1,1,0,1,0,0,0,1,2,0,0,0,1,0,0,2,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,2,1,0,0,0,1,0,1,2,2,0,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0 0,0,1,1,0,0,1,0,1,0,0,1,0,2,0,1,0,1,0,0,0,0,1,0,2,0,0,0,0,0,2,0,0,1,0,0,0,1,0,0,0,0,0,1,1,1,1,1,0,0,2,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,2,0,0,2,0,0,0,2,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,2,1,0,0,1,2,1,1,1,1,1,2,1,0,0,0,2,0,0,0,0,0,1,0,2,0,2,0,0,0,1,0,0,0,0,1,0,2,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,2,1,2,0,0,2,2,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0,0,2,0,0,2,0,1,0,0,0,1,1,0,0,0,0,2,1,0,1,0,0,2,0,0,1,1,2,0,1,0,0,0,2,0,2,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,2,1,0,1,0,2,1,1,0,2,0,2,2,2,1,1,0,1,1,0,2,0,0,0,0,1,0,2,0,0,1,0,0,0,1,0,0,2,0,0,0,0,2,1,1,2,1,0,0,1,0,1,0,0,1,0,1,0,0,0,2,1,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,2,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,2,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,2,2,2,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,1,1,1,0,1,1,1,0,2,0,0,1,0,0,0,0,0,1,1,0,0,1,1,2,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,2,0,2,0,0,1,0,1,1,1,0,2,0,0,0,0,0,0,1,1,0,2,1,0,0,0,2,0,0,2,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,1,2,0,0,0,1,0,0,2,1,0,1,0,0,0,1,0,1,2,1,1,1,0,0,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,2,0,0,1,0,0,1,1,0,1,1,0,2,1,0,1,1,0,2,1,0,0,1,1,0,0,1,0,0,1,0,0,0,1,1,1,2,0,0,0,1,0,0,1,0,0,0,0,0,2,1,0,0,2,1,0,0,0,1,0,0,0,0,1,2,0,0,1,1,1,2,0,1,1,2,0,2,1,0,0,1,1,1,0,0,0,1,0,0,0,1,1,2,2,0,1,0,2,0,0,0,2,0,0,0,1,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,2,0,1,1,1,0,0,2,0,1,1,0,0,1,0,1,0,0,1,1,2,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,2,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,1,0,1,1,2,0,0,0,1,1,0,1,0,0,0,0,1,2,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,2,1,0,0,1,1,0,0,1,0,0,2,1,0,1,0,0,1,0,0,0,0,1,0,1,1,1,2,0,1,0,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,2,0,0,0,1,0,1,1,0,2,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0,2,0,1,0,0,0,1,0,2,1,2,1,2,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0 1,1,1,0,0,0,1,1,1,2,2,0,0,0,1,1,0,1,0,0,0,0,1,0,0,2,2,2,0,1,0,0,1,1,0,0,1,0,1,1,0,1,1,2,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0,2,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0,1,1,2,1,1,0,1,1,1,0,0,1,0,0,1,1,1,1,1,0,2,0,0,0,1,0,0,1,0,1,0,1,2,0,0,2,1,0,0,0,1,1,1,1,1,1,2,1,0,1,0,1,0,1,0,0,0,1,0,1,1,0,1,0,0,0,2,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,1,1,2,1,0,0,0,1,0,0,0,1,2,2,1,0,0,2,0,0,1,1,1,1,1,2,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,2,0,0,2,1,0,0,0,0,1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,2,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,2,1,0,1,1,0,0,0,0,2,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,2,0,0,1,1,0,0,0,1,1,0,0,1,2,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,1,0,0,0,2,0,0,0,2,0,1,0,0,0,1,1,0,1,0,0,1,2,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0,1,2,0,1,0,0,1,0,0,0,1,0,2,0,1,2,2,0,0,0,1,0,0,1,0,0,0,0,0,0,2,2,0,1,0,0,0,0,0,0,1,0,1,2,0,1,1,0,0,1,0,2,1,0,0,1,0,1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,1,1,0,1,2,0,0,0,0,0,0,0,1,0,0,2,0,0,1,2,0,0,2,0,0,0,1,1,0,0,1,1,1,2,2,0,0,1,0,1,0,0,1,1,0,0,1,2,0,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,0,1,1,0,0,1,0,0,0,1,2,1,0,0,0,2,0,0,1,0,0,0,2,0,0,0,1,2,1,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,2,2,2,2,2,0,2,1,0,1,1,1,1,0,2,0,0,1,0,0,0,1,0,1,0,0,0,0,1,2,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,1,1,2,0,0,0,0,2,1,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,2,0,2,1,1,0,1,0,0,1,2,1,0,0,1,1,0,1,0,0,0,1,1,1,1,2,0,0,0,1,0,2,0,1,0,0,0,0,0,0,1,1,1,0,2,1,0,2,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,2,0,2,1,1,0,1,1,0,0,0,0,0,1,2,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,1,1,1,0,2,0,2,2,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,2,2,1,0,1,1,0,1,1,2,0,2,0,0,0,2,1,2,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,2,0,0,0,0,0,0,1,0,0,1,1,0,1,2,2,0,1,1,0,1,1,1,1,0,0,2,1,1,1,2,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,2,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,0,1,0,2,0,0,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,2,1,0,1,1,0,2,0,1,1,0,0,1,0,0,0,1,2,0,2,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0 1,0,1,1,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,2,0,0,0,1,0,2,0,1,2,1,0,1,1,1,0,2,0,2,1,1,0,1,1,0,1,1,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2,1,0,0,0,0,0,1,0,0,2,0,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,2,2,0,1,1,2,0,0,0,1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,1,1,2,1,1,0,0,0,0,0,1,0,1,0,0,0,2,1,1,1,1,0,1,0,2,0,0,0,0,0,0,0,0,1,1,1,2,2,2,0,0,2,1,0,1,0,1,0,1,1,1,2,0,2,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,1,2,0,2,2,0,1,0,0,1,1,2,0,0,1,0,0,2,0,1,0,1,1,0,0,1,0,0,0,1,0,2,1,1,1,1,1,2,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,2,0,0,2,1,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,2,0,2,0,0,1,0,2,1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,2,0,0,1,0,1,2,0,1,2,1,1,1,0,1,0,1,2,0,1,0,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,2,0,0,0,1,0,1,0,1,1,1,1,0,0,1,2,0,0,2,1,0,1,1,0,0,0,0,0,1,1,2,0,0,0,1,1,1,2,0,0,1,0,0,0,1,0,0,1,1,1,1,0,2,1,0,0,0,0,0,1,1,0,1,2,0,0,1,0,0,0,2,1,0,2,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,2,0,1,1,1,0,0,0,2,1,0,0,0,0,1,1,0,1,1,0,1,1,2,1,1,0,1,1,0,1,0,2,0,0,1,1,1,1,0,1,1,0,0,1,2,2,0,1,0,2,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,2,0,1,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1,1,1,2,0,0,0,2,0,0,0,0,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,2,2,0,1,1,0,2,0,0,1,1,0,0,1,0,0,2,0,1,1,0,0,0,0,0,1,1,2,1,0,0,1,1,0,1,0,2,1,0,1,2,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,2,0,1,0,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,2,2,0,0,0,1,2,0,0,0,0,0,2,1,1,2,0,1,0,1,1,2,0,0,0,0,0,1,0,1,1,0,1,1,0,1,1,0,1,2,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,2,0,1,2,0,1,0,0,2,0,0,2,0,0,0,0,0,2,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,1,1,2,0,1,0,1,0,0,1,0,0,0,1,1,2,0,0,0,1,1,0,0,2,0,1,0,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,1,2,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0 1,0,2,2,2,0,0,1,1,2,1,1,1,2,0,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,1,1,1,2,1,2,1,1,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,2,2,0,1,0,2,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,2,1,0,1,2,2,1,0,0,1,0,2,0,0,0,1,1,0,1,0,0,1,0,0,0,0,1,0,2,0,1,1,0,2,0,0,0,1,1,0,1,0,0,2,2,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,2,1,0,1,0,1,0,0,1,0,2,1,0,1,0,2,1,0,1,0,0,2,0,0,0,0,1,0,2,0,2,1,0,0,1,2,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,2,0,0,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,1,2,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,2,0,2,0,0,1,1,1,0,1,0,0,2,1,1,0,2,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,1,0,2,0,2,0,0,0,0,1,2,1,0,1,1,2,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,1,2,0,0,1,0,1,1,1,2,1,0,2,1,2,2,1,1,1,1,1,2,0,2,0,0,1,0,1,0,1,0,1,2,0,0,1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,2,0,1,0,1,0,2,0,0,0,0,1,1,2,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,1,0,1,1,1,0,2,2,0,0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,2,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,2,1,2,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,2,0,0,1,0,2,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,1,0,0,2,1,0,0,1,1,0,0,0,0,1,0,2,2,0,0,1,1,0,0,1,0,1,0,0,2,0,1,0,1,0,0,0,1,0,1,0,1,1,1,0,2,0,0,0,1,1,1,2,1,0,0,0,1,0,1,2,0,0,0,1,0,0,1,0,0,1,2,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,1,1,2,0,0,0,0,1,0,2,1,1,0,0,2,0,1,0,1,1,0,0,1,1,1,1,0,2,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,2,0,0,1,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,1,1,0,1,1,1,2,1,1,1,1,1,0,0,0,1,0,1,2,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,2,0,1,0,1,1,0,1,1,0,0,0,1,0,0,2,0,1,1,0,0,1,1,0,0,1,1,2,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,2,1,0,0,0,0,1,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,2,1,1,0,0,2,0,0,0,0,0,1,1,0,2,0,1,2,1,0,0,0,0,1,1,2,0,0,0,0,0,0,2,0,1,0,0,1,0,1,1,1,2,0,0,2,0,0,0,1,0,0,0,0,1,1,0,0,2,0,0,0 1,0,0,1,0,0,0,0,1,0,2,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,2,0,0,1,0,0,1,1,0,0,0,1,1,1,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,2,0,0,1,1,0,1,0,2,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,2,1,1,1,0,0,0,1,2,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,2,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,1,2,0,2,1,0,2,0,1,1,0,1,0,0,1,0,0,2,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,2,2,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,2,0,0,1,1,0,1,0,0,1,0,1,0,0,2,0,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,0,1,1,2,0,2,1,0,0,0,2,0,0,1,0,0,1,2,0,1,0,2,0,2,1,1,0,0,2,0,2,0,0,0,0,0,1,0,0,2,0,1,2,0,1,0,2,1,0,0,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,2,0,0,1,1,0,1,0,1,1,2,1,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,1,2,0,0,1,2,0,0,0,2,0,1,0,1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,2,0,1,0,1,2,0,0,0,2,1,0,0,1,0,2,1,0,0,1,0,0,0,1,0,0,2,0,2,0,1,0,0,2,0,1,0,1,0,0,0,1,2,0,2,0,0,0,0,1,0,0,1,0,2,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1,0,2,0,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,2,1,1,0,0,2,0,1,0,1,0,0,0,1,1,1,1,0,0,1,0,2,0,0,0,1,0,1,0,1,1,0,1,2,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,2,0,0,2,2,1,0,1,0,1,1,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0,2,0,2,0,0,1,2,1,0,0,0,0,1,1,1,1,2,1,0,1,0,1,0,0,2,0,1,0,2,1,1,2,1,0,0,0,0,1,2,1,2,0,1,0,1,1,0,2,0,1,0,0,0,1,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,2,0,1,1,0,0,1,1,1,1,0,0,0,2,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,2,0,0,0,0,1,2,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,2,2,1,1,2,1,1,1,0,1,1,1,0,0,0,2,1,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,1,0,1,0,2,1,0,1,1,2,0,0,1,0,0,0,0,1,1,0,2,0,1,0,2,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,2,0,2,0,2,1,1,0,0,2,2,0,1,0,0,0,0,0,1,2,0,0,0,0,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,1,2,0,0,0,0,1,2,2,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,2,0,1,0,1,1,0 0,0,1,0,2,0,0,0,0,1,2,1,0,2,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,2,1,0,1,1,0,1,1,1,0,0,0,1,0,0,2,0,1,0,0,0,0,1,1,0,1,1,1,1,2,0,0,0,2,1,0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,2,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,2,1,1,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,2,0,1,1,0,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,2,0,2,0,1,0,0,1,0,0,0,0,2,1,0,0,2,0,0,0,0,0,0,2,1,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,1,2,0,0,1,0,0,1,0,0,0,0,1,2,0,0,0,1,1,1,1,0,0,0,2,0,0,1,2,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,1,2,2,0,0,2,1,0,0,1,2,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,2,1,0,0,1,2,1,0,0,1,1,0,0,1,0,0,1,1,2,1,0,1,0,0,1,0,0,1,2,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0,1,1,2,1,0,0,0,1,1,1,1,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,1,1,0,0,0,2,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0,2,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,2,1,0,2,1,1,0,1,0,0,1,1,2,1,0,0,0,1,0,0,0,1,0,2,1,0,2,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,2,2,1,2,1,2,0,0,1,2,1,0,1,1,0,0,2,2,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,2,0,2,2,0,1,1,1,2,0,0,1,1,0,1,1,2,0,0,1,1,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,2,0,0,1,1,0,2,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0,2,0,1,0,0,0,0,0,0,1,2,1,1,1,1,2,0,1,1,0,0,0,1,1,0,1,0,0,2,1,0,0,2,1,0,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,2,0,1,2,0,1,0,0,0,0,0,0,0,2,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,2,2,0,0,0,1,1,1,1,1,0,0,1,1,2,0,0,0,0,1,0,0,1,0,2,0,1,1,0,1,2,0,2,0,1,0,0,2,1,0,0,2,0,0,0,1,0,1,2,2,0,0,1,0,1,1,0,0,1,2,1,1,0,0,1,0,0,2,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,1,1,0,1,0,2,1,0,1,1,1,1,0,1,2,0,0,0,1,1,1,1,0,1,1,1,0,1,0,1,0,0,1,1,1,0,1,1,2,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,1,1,1,0,0,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,1,0,1,0,2,1,2,0,0,1,0,0,1,1,0,1,0,1,1,2,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,2,2,1,1,0 1,0,2,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,1,1,1,2,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,1,1,1,0,2,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,2,0,1,2,2,2,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,1,2,1,0,0,1,2,0,2,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,2,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,2,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,1,2,0,2,1,1,0,1,0,1,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,1,1,0,0,1,2,1,1,0,0,1,0,1,0,1,0,0,1,0,0,2,0,0,2,0,0,0,1,0,1,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,2,0,0,0,0,2,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,2,1,0,1,1,1,0,0,2,1,0,0,0,2,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,2,0,0,0,1,2,0,0,0,1,0,1,0,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,2,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,2,1,1,0,2,0,0,0,0,2,1,1,1,0,0,1,0,0,1,1,1,0,1,1,2,0,0,1,0,1,0,1,0,1,0,1,1,0,2,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,2,0,1,0,1,1,1,1,1,1,2,0,0,1,1,1,0,0,0,2,0,0,1,0,1,2,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0,1,1,2,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,2,0,1,0,1,1,0,1,0,1,1,0,1,1,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,2,0,1,1,2,0,0,1,0,0,1,0,1,0,0,0,2,0,0,0,1,0,1,0,1,0,0,0,1,1,1,0,1,1,2,1,1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,2,1,0,1,0,0,0,1,0,2,1,0,0,1,1,2,1,0,2,1,0,0,2,0,0,0,0,1,1,1,0,0,0,0,0,2,2,0,1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,1,0,0,2,0,1,2,0,1,2,0,0,0,1,2,0,0,0,2,1,1,2,0,2,0,0,2,2,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,1,1,1,2,1,0,0,0,1,0,0,1,1,2,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,0,0,2,2,0,1,0,0,1,1,0,2,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,1,2,1,2,1,1,0,2,0,0,1,1,1,1,1,0,2,1,2,0,2,1,1,0,1,0,0,2,0,0,1,0,0,0,0,2,1,0,0,0 1,0,0,1,2,0,0,0,1,0,1,0,0,2,1,0,0,1,0,0,0,0,0,1,1,1,2,1,0,0,2,0,0,1,1,0,1,1,0,1,1,1,1,1,1,2,2,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,0,1,0,2,0,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,2,0,0,1,1,1,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0,2,0,2,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,0,1,0,1,2,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,2,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,1,1,2,0,0,0,2,0,2,1,1,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,2,0,2,0,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,2,0,0,1,2,2,2,0,2,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,1,1,1,1,2,1,1,2,0,1,0,1,0,2,2,1,1,1,0,0,0,0,0,2,0,0,0,0,0,0,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,0,2,0,0,1,0,2,0,1,0,0,1,0,1,0,1,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0,1,2,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,2,1,0,1,0,1,0,1,1,0,1,0,1,2,0,0,1,1,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,1,0,2,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,2,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,2,2,2,1,1,2,2,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,0,1,1,2,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,2,0,1,0,0,1,1,0,2,0,0,1,0,1,0,0,1,2,1,0,1,2,0,0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,2,1,0,1,0,0,1,1,0,0,2,1,0,1,0,1,0,1,0,1,0,0,0,0,2,1,1,1,1,1,1,0,0,0,1,0,1,0,2,1,0,0,2,0,1,1,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,1,1,1,2,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,1,0,0,2,0,0,2,0,0,0,2,1,1,2,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0,0,2,2,0,1,2,0,2,0,0,0,1,1,2,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,2,0,1,2,0,0,2,0,1,1,1,1,0,2,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,2,0,0,0 1,0,1,1,1,0,1,0,1,0,1,0,0,1,2,1,0,0,0,0,0,0,2,0,0,0,1,1,1,0,0,0,1,1,1,0,1,1,1,0,1,2,1,1,1,0,0,0,0,0,2,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,2,2,2,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,2,0,0,1,1,0,0,2,0,0,0,1,0,0,2,0,1,1,0,1,2,1,0,1,0,2,0,0,0,0,0,1,1,1,2,1,0,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,1,2,0,0,0,0,1,2,0,0,0,1,1,0,0,0,1,1,1,0,0,0,1,2,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,2,0,1,0,0,0,0,0,0,2,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,0,2,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,2,0,1,0,2,0,2,0,0,2,1,0,2,1,0,1,0,0,0,1,0,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,2,1,1,2,2,0,0,0,1,0,2,1,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,2,0,1,1,1,2,0,0,1,0,0,2,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,1,2,0,0,2,0,0,0,0,1,1,0,0,0,0,0,1,2,1,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,2,0,0,2,0,0,0,0,2,2,0,1,0,1,1,2,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,2,1,2,0,1,1,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,2,0,0,1,0,2,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,2,1,2,1,1,1,0,1,0,1,0,0,0,2,0,0,0,0,0,1,1,0,0,2,0,0,0,2,1,0,0,1,2,0,0,2,0,0,0,0,0,1,2,1,0,1,1,2,1,1,0,0,0,0,0,0,0,1,0,0,2,0,0,2,1,1,0,2,1,0,1,0,1,1,1,1,1,0,2,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0,2,2,0,0,0,1,1,0,0,0,0,0,2,0,0,1,1,0,1,0,2,0,0,1,0,1,1,1,0,1,2,1,0,1,0,0,0,2,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,2,0,0,1,0,2,0,1,0,0,0,1,0,0,1,1,1,0,0,0,2,1,1,0,2,0,0,0,1,0,1,0,1,1,1,0,0,1,2,0,2,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,1,2,0,1,1,1,0,1,1,0,1,1,1,1,2,0,1,0,2,0,0,1,1,1,0,0,0,0,2,0,1,0,0,2,1,0,2,0,0,2,0,1,1,1,0,0,1,0,0,0,2,1,1,1,1,0,1,2,0,0,0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,2,0,0,1,1,2,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,1,0,2,0,2,1,0,1,1,0,0,0,1,0,2,0,0,0,0,1,1,0,0,2,1,0,1,0,2,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,2,0,1,1,0,2,0,0,0,1,1,2,0,2,0,0,0,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,2,2,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,2,0,0,0 0,0,2,0,1,1,0,0,1,1,1,0,1,2,0,1,0,1,0,0,1,0,1,0,2,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,2,1,1,1,0,1,1,0,1,0,0,0,0,0,0,2,0,0,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,2,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,2,1,0,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,2,1,0,1,0,1,0,1,2,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,2,0,2,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,2,1,0,0,0,0,0,1,0,1,2,1,1,0,1,0,2,1,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,2,0,1,2,0,0,1,1,0,1,0,0,0,0,0,1,1,1,2,0,0,0,2,2,2,1,0,0,0,2,1,0,0,0,1,0,1,0,0,0,0,0,1,1,1,2,2,0,0,1,1,2,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,1,2,0,0,0,0,0,0,1,1,0,1,0,0,1,2,1,0,0,0,0,1,1,0,0,0,1,1,2,2,0,1,1,0,0,0,1,1,1,1,0,2,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,2,2,2,0,0,1,0,1,1,0,0,0,2,0,0,0,2,0,2,0,0,1,0,0,2,0,1,1,1,0,0,0,1,1,1,1,1,1,0,1,0,0,0,1,2,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,2,0,0,1,0,0,2,0,0,0,0,0,0,0,2,0,1,0,0,2,1,0,1,1,0,0,0,0,0,0,2,0,1,1,1,1,0,1,2,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,2,2,1,1,0,0,1,1,2,0,0,2,0,1,1,0,1,0,2,0,1,1,0,0,2,1,0,0,1,2,1,0,1,2,1,0,1,0,1,1,0,1,0,2,0,0,2,1,1,1,0,2,0,0,1,0,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,2,0,0,0,2,0,0,0,0,0,0,2,0,0,1,0,0,0,1,1,0,0,2,0,1,0,2,1,1,0,2,1,1,0,0,1,0,0,1,0,1,0,2,1,0,0,0,0,0,0,2,0,2,0,0,1,0,2,0,2,0,0,0,0,1,1,0,0,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,2,1,0,0,0,0,0,1,1,0,2,0,2,2,1,1,0,0,1,2,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,1,1,1,0,2,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,2,1,0,1,0,2,0,2,2,0,0,2,0,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,2,2,0,0,0,0,1,0,0,2,0,0,1,2,2,0,1,2,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,1,0,0,0,2,0,0,0,1,0,1,0,1,0,1,2,0,1,1,1,2,1,1,1,0,0,0,2,1,1,1,0,0,1,0,1,1,0,0,0,1,0,2,2,1,0,2,0,0,2,2,0,2,0,0,1,0,0,0,1,0,0,0,0,2,0,2,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,2,1,0,0,0 1,0,1,2,0,1,0,1,1,0,0,0,0,1,2,0,0,0,1,0,0,0,1,1,2,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,2,0,0,0,1,2,0,1,0,0,0,2,0,0,1,1,1,0,0,0,0,0,1,0,2,1,1,1,0,1,2,0,0,0,2,0,0,0,0,1,2,0,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0,2,1,2,1,0,0,2,0,1,0,0,0,0,1,2,2,0,0,0,0,2,0,1,0,1,2,2,0,0,0,0,2,1,0,0,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,0,0,2,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,2,1,0,2,1,0,1,1,1,1,1,0,1,1,0,1,1,2,0,2,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,1,0,0,1,0,0,0,2,0,0,0,0,0,0,1,2,0,0,1,1,0,1,2,0,0,1,2,0,0,0,0,1,2,0,0,0,1,1,0,1,1,2,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,1,1,0,0,0,2,1,1,0,0,0,0,1,0,0,0,1,1,1,0,2,1,1,0,2,0,2,1,1,0,2,0,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,2,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,2,1,0,1,0,0,1,0,0,0,1,2,1,0,0,2,1,0,1,1,0,0,0,0,1,0,0,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,2,2,1,0,1,0,0,0,0,1,2,0,1,0,1,2,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,2,0,0,2,0,0,2,0,1,0,1,0,0,0,1,0,1,0,1,2,0,0,2,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,2,1,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,2,0,2,2,0,0,0,0,1,1,0,2,1,1,1,0,0,2,2,0,0,1,1,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0,2,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,2,0,1,0,0,1,2,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,2,1,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,2,1,2,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,1,1,1,0,0,0,0,1,1,1,0,0,2,0,1,0,0,1,0,0,2,2,0,1,0,0,1,1,1,1,1,0,0,1,0,1,2,0,0,1,0,0,0,1,1,0,2,0,2,0,0,0,0,0,1,1,2,1,0,0,0,2,0,2,1,0,1,1,0,2,0,0,0,0,0,0,0,1,0,1,1,0,2,1,1,0,2,1,2,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,2,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,2,0,0,0,0,0,2,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0 0,0,1,0,2,0,0,0,0,0,0,1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0,1,1,0,2,0,0,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,2,2,2,0,0,1,0,0,0,1,0,1,1,0,2,0,1,0,0,0,1,0,1,0,1,0,1,0,1,2,1,0,1,1,0,0,0,0,0,1,0,0,0,2,1,0,0,0,1,1,0,0,0,2,0,1,1,1,1,1,0,0,0,2,0,1,1,0,0,0,1,0,2,1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,2,0,0,2,0,1,0,1,2,2,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,2,0,1,2,1,2,0,1,0,1,1,0,0,1,1,1,1,1,0,0,2,0,0,0,0,1,1,0,0,2,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,2,1,2,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,2,0,0,1,1,0,2,1,1,1,0,0,1,1,0,0,1,0,0,0,0,1,2,0,0,1,0,0,0,2,1,1,0,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,2,1,1,1,1,0,1,2,1,0,0,0,1,1,1,0,1,1,2,1,1,0,0,0,0,0,0,0,0,0,1,1,2,1,2,0,0,1,0,2,0,1,0,1,1,1,0,0,1,1,1,0,1,1,1,1,0,2,0,1,0,0,0,1,1,0,1,0,0,1,1,0,2,1,2,0,0,0,0,0,0,0,0,1,0,2,0,0,2,2,0,0,0,0,1,1,0,0,0,2,2,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,2,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,2,2,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,2,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,2,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,0,2,1,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,1,1,1,1,1,0,1,1,0,0,0,0,2,1,2,0,0,1,0,1,0,0,2,1,0,0,0,0,0,0,0,0,1,1,0,2,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,1,0,0,1,0,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,2,0,2,0,0,1,2,1,1,0,0,1,2,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,2,0,0,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,1,2,0,2,1,0,0,0,0,2,0,1,0,2,1,1,1,0,2,1,2,0,1,1,1,1,0,0,2,2,0,0,1,1,1,0,0,2,0,0,1,0,0,1,0,1,0,1,0,0,2,0,1,2,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,2,2,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,0,0,2,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,2,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0 0,0,1,1,2,0,0,1,2,2,0,0,0,1,1,0,0,2,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,2,1,2,0,0,0,1,1,1,0,0,0,0,1,2,1,0,2,0,0,1,0,0,0,0,1,1,1,2,0,1,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,2,1,1,1,0,0,1,1,2,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,2,1,0,1,1,2,0,1,2,2,0,1,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0,2,0,1,0,1,1,1,1,2,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,2,1,0,0,0,2,1,1,0,1,1,0,0,0,0,0,2,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,2,0,0,1,0,0,0,0,2,2,0,0,1,0,1,0,0,0,1,1,1,2,1,0,1,1,0,0,1,1,1,1,0,1,0,2,0,0,1,0,1,0,0,2,1,0,0,0,0,1,1,0,0,1,0,0,2,0,1,0,0,1,0,2,0,1,0,1,1,2,1,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,2,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,2,0,0,1,1,1,2,0,1,0,1,1,0,0,2,0,1,2,1,0,1,0,1,2,1,0,0,0,0,1,1,0,0,2,1,0,2,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,1,1,1,1,0,2,1,0,1,0,0,1,1,0,0,0,0,2,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0,1,1,1,1,0,0,2,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,2,0,0,0,1,1,0,1,1,0,1,0,1,0,2,0,0,0,0,1,0,0,1,1,0,2,0,0,0,2,0,0,1,1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,2,1,0,0,2,1,2,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,1,0,0,0,1,2,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,2,1,0,0,2,0,1,0,0,0,2,0,0,1,1,0,2,0,1,1,1,2,0,1,0,1,0,0,1,0,1,0,2,1,1,0,0,0,2,0,0,0,0,1,1,0,0,0,0,1,1,0,2,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,2,1,1,0,0,0,0,0,1,0,2,2,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,1,1,1,0,0,0,2,0,1,1,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,1,1,0,0,0,1,0,1,0,0,0,1,0,2,0,1,0,0,1,0,0,1,0,1,1,0,0,0,1,1,1,1,2,1,0,0,1,0,0,0,2,0,0,0,1,0,1,1,0,0,0 0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0,1,2,1,2,1,0,0,0,0,0,1,1,0,0,1,0,0,2,0,0,0,1,0,0,2,0,0,0,2,0,1,1,1,1,0,0,0,1,0,2,1,2,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,1,1,0,1,1,1,2,0,0,0,0,0,0,1,0,1,0,1,2,1,2,0,0,1,1,0,0,0,0,1,1,0,2,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,2,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,2,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,2,0,0,1,1,1,0,0,0,2,0,0,0,0,1,0,0,1,1,1,0,2,0,0,1,1,2,2,1,0,1,2,1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,2,0,0,0,0,1,0,0,1,1,0,2,1,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,1,2,1,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,2,0,1,0,0,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,0,0,1,1,0,0,2,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,2,0,1,1,1,0,1,2,0,1,1,0,0,1,0,1,0,0,0,0,0,1,0,2,1,1,2,1,0,2,0,1,0,0,0,1,0,0,0,0,0,1,0,0,2,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,2,0,0,0,1,0,1,1,0,1,1,1,1,1,0,2,1,0,0,0,0,0,0,0,0,1,1,0,2,1,0,1,1,0,1,0,0,1,1,2,0,1,1,0,1,0,0,2,0,1,2,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,2,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,2,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,2,0,0,2,0,0,0,1,1,1,1,0,1,0,0,0,0,1,0,2,1,1,1,1,0,0,2,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0,1,2,1,0,2,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,2,1,0,0,0,0,1,0,1,0,0,0,2,1,1,1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,1,1,0,0,0,1,0,2,0,2,1,1,1,0,0,0,2,1,0,0,1,0,0,1,1,0,2,0,1,2,1,0,2,0,0,0,0,1,0,2,0,0,2,0,0,1,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,2,1,1,0,0,1,2,0,0,0,1,1,1,0,1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,2,1,0,0,0,0,1,2,1,0,1,0,0,0,0,2,1,0,0,0,1,0,1,2,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,2,2,1,0,1,1,1,1,2,0,1,0,0,1,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,2,0,0,0,1,1,1,0,0,2,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1,2,0,1,1,2,1,0,1,1,2,0,0,0,0,0,1,0,0,0,0 0,0,2,1,1,1,0,0,1,1,1,0,0,0,2,2,0,0,0,0,0,1,0,1,2,0,1,1,0,1,1,0,2,0,0,0,1,0,1,0,1,2,1,1,1,0,0,0,0,0,0,0,2,0,1,0,2,0,0,1,1,0,0,0,0,1,0,0,0,1,2,0,2,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,2,1,2,1,1,0,1,2,0,0,2,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,2,1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,2,0,0,0,2,0,0,1,1,0,1,0,2,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,1,2,0,1,0,0,0,0,2,0,0,2,0,0,0,1,0,1,1,0,2,0,2,0,1,0,1,1,1,0,0,2,1,0,1,2,0,0,0,1,0,1,1,2,1,0,2,0,2,0,1,0,1,2,1,1,0,2,0,1,1,1,0,1,1,1,0,1,0,0,2,0,1,0,2,1,2,0,0,1,0,2,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,2,0,1,2,0,0,2,1,0,1,0,1,1,1,1,0,0,0,0,1,2,0,0,0,0,0,0,1,1,1,0,2,0,0,0,1,2,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,2,0,0,1,1,1,1,2,1,1,0,0,1,2,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,1,2,0,0,0,0,1,0,1,1,1,1,0,2,2,1,1,0,1,0,1,1,2,1,0,1,1,0,0,1,0,1,0,0,0,0,0,2,0,1,0,0,0,0,1,2,2,0,1,0,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,1,0,1,2,0,0,1,1,0,0,0,0,0,0,0,1,1,1,2,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0,2,1,2,1,0,0,0,0,0,2,1,0,0,2,0,1,0,2,0,1,2,0,1,1,0,0,1,1,0,0,2,1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,2,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1,1,0,2,0,0,1,1,1,1,1,0,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,2,0,1,1,1,1,0,0,2,1,0,2,0,1,0,1,1,2,0,1,0,0,2,0,0,1,2,1,1,1,0,1,1,0,1,1,2,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,0,0,2,0,0,1,0,0,0,1,1,0,1,1,1,2,2,0,1,0,1,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,1,1,1,0,1,0,1,0,2,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,2,1,1,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0,1,1,2,1,1,0,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,2,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,2,0,1,1,1,0,1,2,0,0,1,1,0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,1,1,2,1,1,1,1,0,0,1,0,1,0,0,1,0,1,1,1,0,1,0,0,2,0,1,1,0,0,1,2,1,1,1,0,0,0,0,0,0,0,0,0,2,1,1,1,1,1,0,0,0,2,0,2,0,0,2,0,0,1,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,1,2,0,0,0,1,1,2,1,0,2,1,0,0,0,0,2,0,1,1,0,0,0,2,0,0,0,0 0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,2,1,1,1,0,0,1,0,0,1,2,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,2,0,1,1,2,0,1,0,1,0,1,0,1,0,2,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,1,1,1,0,0,0,1,1,1,0,0,1,2,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,1,2,0,1,0,0,1,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,1,2,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,1,2,0,0,0,1,0,1,0,0,1,1,1,0,0,2,1,1,0,2,0,0,1,1,0,1,2,1,1,0,2,0,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,2,1,1,0,0,1,2,0,0,1,0,0,0,1,0,1,1,1,2,0,0,2,0,1,1,0,0,0,2,0,0,1,0,1,1,0,2,1,0,0,0,1,2,0,0,0,2,1,1,1,1,1,0,2,0,0,0,0,1,1,1,1,1,2,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,2,1,1,1,1,1,0,1,0,0,2,1,0,0,0,0,0,0,0,1,0,1,1,2,0,0,0,0,0,0,1,0,1,0,0,2,0,2,0,1,0,0,0,1,0,2,1,1,1,0,0,1,0,2,0,0,0,1,0,1,0,0,1,1,1,2,1,0,1,0,0,1,0,1,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,2,0,1,1,0,0,1,0,0,1,1,2,0,0,2,1,0,1,2,2,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,2,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,1,1,0,0,1,1,0,0,1,2,0,0,2,0,0,2,2,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,2,0,1,0,2,1,0,1,0,0,0,2,0,0,0,0,1,0,0,1,1,2,0,0,1,0,2,1,0,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,1,1,0,1,1,0,1,2,0,0,0,1,1,1,0,0,1,0,1,0,1,1,2,0,1,0,2,1,0,0,1,0,1,0,1,0,0,0,2,0,0,0,0,0,0,1,0,1,0,1,0,0,2,0,0,0,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,2,2,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,2,0,0,1,1,1,0,0,0,0,0,1,0,1,1,0,1,2,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,1,0,0,1,2,0,0,0,0,0,2,0,0,1,2,1,1,0,0,0,0,1,1,1,0,0,0,1,0,2,2,1,0,1,1,0,1,1,0,2,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,2,2,0,0,0,0,0,0,2,0,0,0,0,1,2,1,1,0,1,0,0,2,1,2,0,0,0,1,0,0,0,1,0,0,0,0,1,2,0,2,0,0,1,1,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,1,2,1,0,0,0,0,1,0,1,2,1,1,0,0,1,0,1,1,1,1,0 1,0,1,1,0,0,0,1,0,0,0,0,0,1,2,1,0,0,1,0,0,1,0,1,0,1,1,1,1,1,2,0,1,0,0,0,2,0,0,1,0,1,0,2,1,0,0,0,0,0,1,0,0,0,1,0,1,2,0,1,1,0,0,0,0,0,1,1,2,0,0,2,0,1,0,0,0,1,0,1,1,0,1,0,0,2,1,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,2,1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,2,1,0,1,0,0,0,2,2,0,1,0,0,1,1,1,1,0,0,0,1,1,0,1,2,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,2,1,0,1,0,1,1,0,0,1,0,0,0,2,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,2,1,0,2,1,1,1,0,0,0,0,1,1,0,0,1,1,0,1,2,0,0,0,0,1,0,0,1,1,1,1,0,0,2,1,0,0,0,0,0,1,0,0,0,2,0,0,0,0,2,1,1,1,0,1,0,1,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,2,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,1,1,0,1,1,1,2,1,2,0,2,0,0,2,0,0,0,0,1,1,0,2,1,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,2,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,1,2,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,2,1,0,0,0,1,0,0,0,1,0,1,1,0,2,1,0,0,0,0,0,1,0,0,1,2,0,1,1,0,2,1,1,1,0,2,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,1,2,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,2,2,0,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0,2,1,1,0,1,0,0,1,0,1,2,1,1,2,2,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,2,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,2,0,0,2,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,1,2,2,1,0,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,1,2,0,2,0,1,0,2,1,1,0,0,0,1,1,0,1,0,0,0,1,1,0,0,2,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,2,1,1,0,0,2,2,1,0,0,0,1,0,0,0,0,2,0,1,0,0,1,1,0,0,1,0,0,1,2,0,0,0,1,1,2,1,0,0,2,0,0,0,0,0,1,0,1,1,0,0,0,2,2,2,0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,2,0,0,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,2,2,1,0,0,0,0,2,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,1,1,2,0,0,0,2,1,0,1,2,0,0,0,1,0,0,2,0,0,0,0,1,2,0,1,0,1,0,1,0,1,1,1,2,0,2,2,1,1,1,0,1,0,0,1,0,0,0,0,0,2,0,0,0,0,1,1,1,1,1,2,0,0,1,0,0,1,0,1,2,0,0,1,1,0,0,0,0,1,0,0,2,1,1,1,0,0,1,0,0,0,0,1,2,1,0,1,1,1,2,1,0,0,0,0,0,1,0,1,1,0,0,0,0,1,2,2,1,1,0 2,0,1,0,0,0,0,1,0,1,2,1,1,0,0,0,0,2,0,0,0,1,1,1,0,1,2,1,0,0,2,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,0,0,2,1,1,0,2,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,1,2,0,1,0,0,2,1,0,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,2,0,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,2,0,0,0,1,0,0,1,0,2,0,0,1,0,0,1,0,0,1,0,1,2,2,0,0,1,1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,2,1,1,0,0,2,0,0,0,1,0,0,1,1,1,0,0,2,0,2,0,0,1,0,1,1,2,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,2,0,0,0,2,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,1,0,0,1,0,0,1,0,0,0,2,0,1,0,0,0,0,1,0,1,1,1,1,0,1,2,0,1,0,0,1,0,1,0,1,0,1,0,0,0,2,1,0,0,0,1,0,0,0,1,0,0,1,2,0,0,0,0,1,2,0,1,1,1,0,0,0,0,0,1,0,1,1,1,0,1,0,0,2,1,2,0,0,1,2,2,0,1,1,1,0,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,1,0,2,1,1,1,0,0,0,0,0,2,0,2,0,0,0,1,0,0,1,0,0,1,1,1,2,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,2,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,1,1,1,0,1,0,0,0,1,2,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,2,0,0,0,2,0,0,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,2,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,0,1,1,0,1,1,0,1,0,1,1,2,0,0,2,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,1,2,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,0,2,2,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,2,0,2,2,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,0,1,0,0,0,1,0,0,2,1,1,0,1,0,0,0,0,1,2,1,0,0,1,0,1,0,2,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,2,1,0,1,1,1,0,0,0,0,0,0,2,0,0,0,0,2,0,1,0,1,0,1,0,0,1,0,1,1,0,1,1,0,0,2,1,0,0,0,0,0,0,2,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,2,0,2,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,2,1,0,1,0,0,0,1,0,0,1,2,0,1,1,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,1,0,2,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,2,0,2,0,1,1,0,0,1,1,0,1,1,2,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,1,1,1,1,0,0,0,0,2,0,1,0,0,0,2,0,0,0,0,2,0,0,0,1,0,1,0,0,1,2,1,1,0,1,1,1,0,1,1,0,0,0,2,0,0,0,0,1,2,1,0,1,1,0,1,0,0,0,1,0,0,2,0,2,0,0,0,0,1,2,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0 0,0,0,0,1,1,0,0,0,1,2,0,1,1,1,0,0,0,1,0,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,1,0,0,1,1,1,0,1,0,1,0,0,2,0,0,0,1,1,2,0,2,0,0,0,2,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,2,1,1,0,0,0,0,0,0,2,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0,2,0,0,0,1,0,1,1,0,0,2,0,1,0,1,0,0,1,0,1,0,0,2,1,1,1,0,1,0,0,0,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,2,1,0,1,1,0,0,1,2,0,1,0,1,2,0,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,2,2,0,2,1,1,0,1,2,2,1,1,0,0,0,1,1,0,1,0,0,0,0,2,0,0,1,1,1,1,0,2,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,1,0,0,0,1,0,2,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,2,2,2,0,0,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,2,0,0,0,0,1,0,0,0,0,2,1,0,0,1,2,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,1,1,1,1,0,2,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,1,2,1,0,1,1,1,2,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,2,0,0,0,0,0,1,0,1,1,0,1,1,0,0,2,1,1,0,0,0,1,0,2,0,1,0,0,0,1,0,1,0,0,0,2,0,0,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0,1,1,2,0,1,0,2,0,2,0,0,0,2,2,1,1,2,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,2,0,0,1,1,1,0,1,0,0,0,1,2,2,0,1,0,0,0,1,1,1,1,0,0,0,1,2,2,0,1,1,0,1,0,2,0,0,0,0,0,0,2,1,1,1,0,1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,0,1,1,2,0,1,1,0,0,0,0,0,1,2,0,0,0,0,1,0,0,2,0,1,1,0,0,0,0,0,2,2,0,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,2,0,1,1,0,0,2,0,1,1,1,0,0,1,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,2,1,0,2,0,1,1,2,2,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,1,1,0,1,0,0,1,1,1,1,2,0,2,0,0,1,1,0,0,0,2,0,1,1,0,0,0,1,1,1,1,1,1,1,1,0,0,0,1,2,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,2,0,0,2,0,2,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,2,1,2,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,2,2,1,1,0,0,0,0,0,0,1,1,2,0,0,2,0,1,0,0,0,1,1,0,1,0,2,1,1,1,0,1,0,0,0,0,1,1,0,0,2,2,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0,0,2,0,2,0,0,2,0,0,0,1,0,0,2,1,2,0,0,1,0,1,0,0,1,2,0,0,1,0,0,0,0,1,0,0,0,2,0,0,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0 1,0,0,1,1,0,0,1,0,1,1,0,1,0,1,1,0,2,1,0,1,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,1,2,0,0,0,2,0,1,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,2,1,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,1,1,0,0,0,0,0,2,0,0,1,0,1,1,0,0,0,0,0,2,0,0,0,0,1,1,0,0,1,2,0,1,0,0,1,0,0,0,0,1,0,1,0,1,2,0,2,0,0,0,0,0,1,0,1,1,1,2,1,1,1,0,1,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,2,0,0,0,1,1,2,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,2,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0,2,2,0,0,1,2,0,2,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,2,0,0,1,0,2,0,1,0,1,0,1,0,1,1,1,1,1,0,2,0,0,0,0,0,0,1,1,0,0,2,1,1,1,0,0,2,1,0,0,1,0,1,1,1,0,0,0,2,0,0,1,0,1,1,0,0,2,2,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,1,1,0,2,0,0,0,0,2,1,0,2,0,0,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,2,0,0,0,0,2,2,0,0,1,1,0,1,0,1,1,1,0,0,1,0,1,2,0,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,2,0,2,0,1,0,0,0,0,0,0,0,2,0,1,2,2,2,1,0,0,0,0,1,1,0,1,0,1,1,1,0,2,0,1,0,1,2,0,0,2,0,1,2,1,0,1,0,1,0,1,0,0,0,2,0,0,0,2,1,1,0,0,1,0,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,2,1,0,0,1,0,1,1,0,1,1,0,1,0,0,2,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,2,1,1,0,0,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,2,2,1,1,1,0,2,1,1,0,1,0,0,1,1,0,1,0,1,1,0,1,1,1,1,1,1,0,0,1,2,0,2,0,2,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,0,1,1,0,0,0,0,2,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,1,2,0,1,1,1,0,0,1,0,2,0,1,0,2,1,0,1,0,2,0,0,0,0,0,0,0,0,0,1,2,0,0,1,1,0,0,0,0,0,0,0,0,1,0,2,1,1,0,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,1,2,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,0,2,1,0,2,0,0,2,2,1,1,0,2,1,1,0,0,0,0,1,2,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,0,1,2,1,0,2,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,2,0,1,0,0,0,0,0,1,2,0,1,0,0,0,0,2,0,0,0,1,0,1,1,1,0,0,2,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,2,2,2,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0 1,0,2,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,1,2,0,0,2,0,0,0,0,0,1,2,0,0,0,2,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,1,1,1,1,0,0,2,1,0,0,1,1,0,0,0,0,0,1,0,1,2,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0,1,2,1,1,0,0,1,0,1,1,0,1,0,2,0,1,1,0,1,1,0,1,0,0,2,2,0,0,0,0,0,2,0,0,1,0,1,0,1,0,0,2,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,1,0,2,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,2,1,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,2,1,2,0,0,1,2,0,2,1,1,1,0,0,0,1,0,0,0,2,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,2,1,0,0,1,0,0,0,0,2,1,1,0,0,0,0,0,1,0,0,1,0,0,1,1,1,0,2,0,0,1,2,0,0,0,0,1,0,1,0,1,0,1,2,0,1,0,1,1,1,2,2,0,0,0,2,0,0,1,0,0,0,0,2,1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,2,1,1,1,2,0,1,1,1,1,1,1,1,0,2,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,1,2,1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,1,1,1,0,1,0,1,0,1,1,1,0,0,1,2,2,0,1,2,1,2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,1,0,0,2,0,2,1,2,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,2,0,0,2,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,2,2,0,2,1,0,2,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,1,2,0,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,2,0,1,1,0,0,0,0,1,2,2,1,0,1,0,1,1,0,0,1,0,0,0,2,0,1,1,1,0,0,0,0,1,0,1,0,1,2,0,0,1,1,1,0,0,0,2,1,1,1,1,1,0,0,2,1,2,0,0,0,0,1,0,2,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,1,1,0,2,1,0,0,1,0,0,2,0,0,1,1,2,1,1,1,0,0,0,0,0,0,1,2,0,0,1,2,1,0,0,0,1,0,0,0,0,0,2,1,0,2,1,0,0,0,0,1,0,1,1,1,2,1,0,1,0,1,0,0,2,0,0,2,1,1,0,0,1,0,0,0,0,0,2,1,0,1,0,1,1,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,2,1,0,0,0,1,0,1,0,0,1,1,1,0,1,2,1,1,0,2,0,1,0,2,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,2,1,1,1,0,0,2,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,2,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,1,0,2,0,0,1,0,1,1,2,0,1,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0,1,1,0 0,0,2,1,1,0,0,0,2,1,1,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,2,0,0,1,0,0,1,2,0,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,2,2,1,1,1,0,0,0,0,0,1,0,0,0,0,1,1,2,0,0,1,2,2,1,0,0,1,1,1,1,0,0,1,0,0,1,0,2,0,1,1,0,1,1,0,2,1,0,1,1,2,0,1,0,0,2,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,1,1,0,0,1,1,1,1,1,0,0,1,0,2,0,0,0,0,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,2,1,1,2,1,0,1,0,0,2,0,0,0,1,0,0,0,0,0,1,0,0,0,2,0,1,1,0,0,1,0,1,0,1,2,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0,1,2,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,2,1,2,0,1,1,0,0,0,0,0,2,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,1,1,0,1,0,2,1,0,0,0,1,0,1,2,0,0,0,1,0,1,0,1,0,2,0,0,0,0,0,2,1,0,0,0,1,0,2,0,1,2,1,0,1,0,0,0,0,1,1,0,2,1,1,1,0,1,0,0,0,2,0,2,0,0,1,0,1,0,0,2,2,1,1,0,0,0,0,1,0,1,1,1,2,0,0,1,2,0,1,0,2,0,1,0,0,1,1,0,0,2,2,2,0,1,2,0,1,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0,2,1,0,1,0,0,0,0,0,1,0,1,2,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,2,0,0,0,0,2,1,1,2,0,0,1,0,0,0,0,1,1,2,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,1,0,2,0,0,2,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,2,1,0,0,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,2,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,1,1,1,0,1,1,0,2,0,1,0,0,1,0,1,1,1,0,1,1,1,0,0,0,2,1,0,0,2,0,0,0,0,2,0,1,0,1,0,0,1,0,2,0,1,2,0,2,0,1,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,2,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,2,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,2,1,1,0,0,2,1,0,1,1,0,2,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,2,1,1,0,1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,2,1,0,2,2,1,0,0,0,0,0,0,0,1,1,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0 1,0,0,0,0,0,2,0,1,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,2,1,1,0,1,0,1,2,0,0,1,0,0,1,0,2,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,2,0,1,0,1,1,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,2,0,2,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,1,0,2,1,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,2,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,2,1,0,0,1,0,0,0,0,1,0,1,1,1,0,2,0,1,0,0,2,0,0,0,0,0,0,1,0,0,0,2,1,0,1,1,1,0,1,0,2,0,0,0,1,1,2,0,1,0,1,0,0,0,1,1,1,1,2,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,2,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,2,0,1,0,1,0,0,1,0,2,1,0,1,1,2,1,2,0,2,0,0,2,1,0,0,2,0,0,1,1,0,0,0,2,1,1,0,2,1,0,0,0,1,1,1,0,0,0,0,1,0,0,1,2,0,0,0,0,1,0,0,2,1,2,0,1,0,1,0,0,1,0,0,2,2,1,1,0,2,1,0,1,0,1,1,1,0,1,0,0,2,0,0,0,0,1,1,0,2,0,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,1,1,1,1,1,0,1,0,1,2,1,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,2,0,0,1,0,1,1,0,0,0,1,2,0,2,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0,2,0,0,0,1,0,1,0,0,0,1,0,2,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,1,1,1,2,1,0,0,0,0,1,0,1,0,0,0,0,1,1,1,0,2,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,2,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,1,2,0,1,0,0,0,1,0,0,0,1,0,2,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,2,0,2,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,2,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,2,2,0,0,1,0,2,1,0,1,1,0,0,0,2,2,0,0,0,1,1,0,0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,2,1,0,0,0,0,0,1,0,0,1,0,1,0,0,2,0,1,0,0,0,0,0,0,1,1,2,2,0,1,1,0,1,0,1,0,0,2,0,1,1,1,1,0,1,0,1,1,0,0,0,2,2,0,0,1,1,1,1,0,2,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0,2,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,2,1,0,0,0,0,2,1,0,0,2,0,0,1,2,0,1,1,1,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,2,2,1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,2,1,0,0,0 1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0,0,2,1,0,1,1,2,0,1,2,1,0,0,1,0,0,0,1,0,1,0,0,2,2,1,1,1,0,0,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,2,0,1,1,1,0,1,0,1,0,1,0,0,0,0,2,1,1,0,1,0,1,0,2,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,2,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,2,0,0,0,0,2,0,0,1,0,2,0,0,1,1,0,0,0,0,0,0,2,0,0,2,0,0,0,2,0,1,0,1,0,1,0,2,1,2,1,0,0,1,0,2,0,2,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,2,2,0,0,1,0,1,1,1,0,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,1,1,0,0,2,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0,2,0,1,2,2,0,1,1,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,1,0,2,1,1,0,0,1,1,0,1,2,0,0,0,1,0,0,0,2,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,1,2,1,0,0,2,0,0,0,2,2,1,0,1,0,1,0,0,1,0,0,0,1,0,2,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,2,0,2,0,0,1,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,1,1,0,1,1,0,2,0,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,1,1,1,1,1,0,1,0,0,0,2,1,1,1,1,0,2,0,0,0,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,2,0,0,1,0,0,0,0,0,1,0,0,2,0,0,1,1,2,0,0,0,0,0,1,0,0,0,0,0,2,1,0,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0,2,2,2,1,0,0,1,1,2,1,0,0,0,0,2,2,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,2,1,1,1,0,0,1,2,0,2,0,0,0,0,1,2,0,2,0,2,0,1,1,0,1,2,0,0,1,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,1,1,0,2,0,0,0,0,0,1,1,0,1,1,0,1,1,2,0,0,0,0,0,0,1,1,2,1,1,1,1,0,1,0,0,0,0,2,1,1,1,0,1,0,2,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,2,1,0,0,2,1,0,0,0,0,0,0,1,0,1,1,1,0,0,2,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,2,1,0,1,0,0,1,2,0,1,0,0,0,0,0,2,2,0,1,0,1,0,1,1,0,1,1,0,0,2,1,2,0,0,2,0,0,0,0,2,1,0,0,1,0,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,2,1,1,1,0 0,0,1,1,0,1,0,0,0,1,0,0,0,2,0,1,1,2,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,1,2,1,1,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,2,1,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0,2,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1,1,2,0,0,1,0,1,0,0,0,1,0,1,2,1,1,1,0,1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,1,0,2,0,1,2,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,2,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,1,0,0,2,0,0,0,1,1,0,0,0,2,0,2,0,0,1,0,0,0,1,1,0,0,1,0,1,0,2,0,0,1,1,2,1,0,0,1,1,1,0,0,1,1,2,2,0,0,1,0,0,0,0,0,1,0,2,1,0,0,0,0,0,0,1,0,2,0,0,1,1,2,1,0,0,0,2,0,0,1,0,0,0,1,1,2,1,1,1,0,1,0,2,2,0,1,0,1,2,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,2,0,0,0,0,1,1,0,0,0,1,2,0,0,2,2,0,1,0,1,1,0,0,0,1,0,0,1,0,0,2,1,1,0,0,0,1,1,0,2,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,2,0,0,1,0,2,0,0,0,0,0,0,1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,2,1,0,0,2,1,1,2,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,2,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,2,0,0,0,0,0,1,2,1,1,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,1,2,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,2,0,1,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,2,0,0,0,2,2,0,2,0,0,0,0,2,2,1,2,0,1,1,0,0,0,1,0,0,1,0,1,0,2,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0,2,0,0,2,2,0,0,0,0,1,0,2,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,1,2,2,1,0,0,0,1,2,1,0,0,0,1,0,0,1,1,1,0,1,0,2,0,0,0,2,0,0,0,2,0,0,1,0,0,0,0,0,2,0,0,1,2,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,2,0,1,2,0,0,0,0,1,0,1,0,2,1,2,0,1,1,0,1,0,1,0,0,0,2,0,0,0,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,1,0,1,1,1,1,2,0,1,1,0,0,2,2,0,1,2,0,2,0,1,2,1,0,0,0,0,1,1,0,1,2,2,1,0,0,0,0,0,1,0,1,0,0,0,1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,2,0,2,0,0,1,1,1,0,0,0,0,0,1,0,0,1,2,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,2,1,0,2,1,0,1,2,0,0,0,0,2,0,0,1,0,2,1,0,1,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,2,0,0,0,0,0,1,1,1,1,0,0,2,0,0,1,0,1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,0 1,0,1,1,1,0,0,0,2,0,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,1,1,1,0,0,1,0,1,2,2,0,2,0,0,1,1,1,1,0,0,0,1,1,0,0,2,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,2,2,1,0,0,1,1,0,0,1,1,0,0,0,0,0,2,1,1,1,0,0,0,0,1,0,0,1,1,0,0,2,0,0,1,0,2,0,0,0,0,0,1,1,0,0,2,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,2,1,1,0,0,0,0,0,1,0,0,0,0,1,2,1,0,1,0,0,1,0,1,0,1,1,0,0,0,1,0,1,1,0,1,0,2,0,0,0,0,2,1,1,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,1,0,0,1,0,1,1,0,2,0,0,0,1,0,2,0,1,1,0,2,1,0,0,1,0,0,0,1,0,0,2,0,2,2,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,2,0,0,0,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,2,0,0,0,0,0,0,0,0,2,1,0,1,0,1,2,0,1,0,0,0,2,2,0,0,0,0,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0,1,1,1,2,0,0,1,0,0,0,1,0,1,0,2,1,0,0,1,0,2,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,2,0,0,0,2,0,2,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,2,2,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,2,0,0,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0,2,1,1,2,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,2,0,2,1,2,2,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,1,1,0,1,1,0,0,0,1,1,0,2,0,1,0,1,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,1,0,2,0,0,2,1,0,1,0,1,0,1,0,1,0,0,1,0,2,1,1,1,1,2,0,2,0,0,0,1,0,2,2,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,2,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0,2,1,1,0,0,0,0,1,0,2,2,1,0,1,0,0,0,2,0,0,1,1,0,0,2,0,0,1,1,2,0,1,0,2,0,2,1,2,0,0,0,0,0,2,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,2,0,0,0,2,0,0,0,1,0,0,0,0,1,2,1,0,0,0,1,1,0,0,1,1,0,1,1,1,0,1,1,1,2,0,2,0,0,1,0,0,1,1,0,0,0,1,1,1,0,0,0,0,1,1,1,1,0,1,0,1,2,1,0,0,0,1,0,1,0,0,1,0,1,1,0,1,1,0,2,1,2,2,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,2,0,0,2,0,0,0,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,2,0,2,0,2,0,2,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,2,2,0,1,0,0,0,2,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,2,0,0,1,1,2,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,2,1,2,0,0 1,0,1,1,1,0,1,0,1,1,0,1,0,1,1,2,0,1,0,0,0,0,1,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,2,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0,2,1,1,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,2,1,0,2,0,2,1,0,0,1,0,1,0,1,0,0,1,2,2,2,2,0,0,0,0,1,0,1,1,0,2,1,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,1,1,1,0,1,0,1,0,0,1,1,2,1,0,1,0,1,1,0,2,0,1,2,0,1,1,0,0,0,1,1,1,2,0,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,1,1,1,1,1,1,0,1,1,0,2,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0,0,2,0,0,0,1,2,1,1,1,1,1,0,0,0,0,2,1,0,0,0,1,0,1,1,0,1,0,1,1,2,0,0,0,0,0,2,1,1,0,0,0,1,0,0,0,0,1,1,1,2,0,2,0,1,1,0,0,0,2,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,2,0,0,0,1,2,1,0,1,1,1,1,0,1,0,1,1,1,0,0,2,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,1,1,2,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,2,0,2,0,0,0,0,1,1,0,0,2,0,0,0,0,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,1,2,1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,1,2,0,0,1,0,2,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,2,1,2,0,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,2,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,2,0,0,0,2,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,1,1,1,1,1,0,0,0,0,1,1,0,1,2,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,0,0,1,2,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,2,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,2,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,2,0,1,2,1,0,1,0,1,0,0,1,2,1,1,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,1,1,0,1,0,0,0,2,0,0,1,0,2,1,1,0,1,0,1,1,1,1,1,1,2,2,1,0,0,1,1,1,0,0,0,0,2,0,1,2,1,0,0,1,1,0,0,0,0,1,2,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,2,0,0,0,1,2,1,1,2,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,2,1,0,0,1,2,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,2,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,2,1,1,1,2,1,0,1,1,0,1,2,0,0,0,0,0,0,0,2,1,1,0 0,0,1,1,0,0,2,1,1,0,1,1,0,1,1,2,1,1,0,0,0,1,0,0,1,0,1,2,1,0,2,0,2,0,1,0,2,1,2,0,2,2,0,1,1,0,0,0,0,0,1,0,0,0,1,0,2,1,0,1,0,0,0,1,0,1,0,1,1,1,1,1,2,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,1,0,0,1,1,0,0,2,0,1,0,0,0,1,1,0,0,1,1,1,2,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,2,1,0,2,0,2,0,0,1,1,0,0,0,0,0,1,2,0,0,1,1,0,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,1,0,0,1,0,1,2,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,2,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,2,0,1,0,0,0,2,1,1,2,0,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,2,1,1,1,1,2,0,0,0,0,0,1,0,0,0,0,1,0,1,2,2,1,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,2,0,1,0,0,0,1,0,0,2,1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,1,1,1,0,1,2,2,0,0,0,1,2,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,1,1,0,1,0,2,0,2,0,0,0,0,2,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,2,0,0,0,0,1,1,1,0,0,0,1,0,1,2,1,0,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,2,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,1,2,0,1,0,1,2,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,2,0,1,0,1,0,0,0,0,0,1,2,0,1,2,0,1,0,1,2,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,2,0,1,1,0,0,1,0,0,2,0,0,0,2,1,1,0,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,1,1,0,2,0,0,0,2,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,1,1,1,0,1,1,2,1,1,0,0,0,0,1,0,1,0,0,2,1,0,1,0,0,1,0,0,1,1,1,0,1,0,1,1,1,0,0,0,0,1,2,0,0,1,0,1,1,0,0,0,0,0,0,1,0,2,1,0,1,1,0,0,1,1,0,1,2,0,1,0,1,1,1,1,2,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,2,1,1,1,1,0,0,1,0,0,1,0,2,1,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1,1,1,2,0,0,0,0,1,1,1,1,2,0,0,0,0,1,0,1,1,1,1,1,2,0,0,0,1,1,1,0,0,0,1,1,0,1,0,1,1,1,0,1,0,1,2,2,0,0,0,0,1,0,0,1,0,0,0,0,1,2,1,1,1,2,0,0,1,0,0,0,0,0,0,0,1,0,1,1,2,1,1,1,1,0,0,1,0,2,1,0,0,2,0,1,0,0,1,0,1,0,0,2,2,0,1,0,0,0,1,1,2,1,0,0,0,0,1,1,2,1,2,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,2,0,0,0,0,1,0,2,0,1,0,1,0,2,0,0,1,0,1,2,0,2,0,0,0,0,0,1,1,0,1,0,1,0,0,1,2,0,0,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0 0,0,0,0,1,0,1,0,0,1,1,0,0,2,0,2,1,2,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,2,1,0,0,1,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,1,2,1,1,1,0,2,1,0,0,0,0,0,0,0,2,1,0,0,0,1,1,0,0,2,0,0,0,1,1,1,0,1,0,0,0,0,1,1,1,0,1,2,1,1,0,0,0,0,1,1,0,0,1,0,1,2,1,0,0,0,0,1,1,0,1,1,0,0,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,1,1,0,0,0,0,0,2,1,0,2,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,1,1,2,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,2,0,1,2,1,1,0,2,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,1,0,1,0,2,2,1,0,0,1,1,0,0,0,1,0,1,1,1,2,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,1,0,2,2,0,0,1,0,0,1,2,0,1,0,1,0,1,0,0,2,1,1,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,2,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,2,0,1,0,1,1,1,1,1,0,1,1,1,1,0,0,1,1,1,1,0,2,0,1,0,0,1,0,1,0,0,0,0,0,1,0,2,0,1,2,0,2,0,0,1,1,0,0,0,1,2,0,0,0,2,0,2,1,1,1,0,1,0,0,2,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,2,1,1,0,1,0,1,2,0,0,0,0,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,2,0,1,1,0,0,1,2,2,1,0,0,2,0,0,2,1,0,0,0,0,0,1,1,0,0,2,1,0,1,1,0,0,2,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,1,2,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,2,0,2,0,0,0,0,0,0,0,1,0,0,0,2,2,0,0,1,1,1,0,1,2,1,0,1,0,0,1,2,0,0,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,2,0,1,0,0,0,0,0,2,1,1,0,0,0,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0,2,1,1,1,0,0,0,0,0,1,2,0,2,2,1,1,2,0,1,1,0,0,0,0,1,0,1,2,0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,2,1,0,1,0,2,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0,0,1,0,2,1,0,0,0,0,1,0,1,1,1,0,1,0,1,0,0,0,2,0,0,0,1,0,0,1,0,0,1,2,1,0,1,2,0,1,1,0,0,0,1,1,1,1,2,0,0,0,0,0,0,1,1,1,0,0,2,1,0,0,0,1,0,0,2,1,0,1,0,0,1,1,0,2,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,2,2,0,0,1,0,0,0,0,1,0,0,1,0,0,1,2,0,0,0,0,1,1,0,0,2,0,0,1,0,0,0,1,0,1,1,0,0,0,1,2,2,1,0,0,0,0,2,0,0,0,0,0,0,0,1,2,1,0,0,0 0,0,0,1,1,0,1,2,0,1,0,1,1,1,0,0,0,2,1,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,2,0,0,1,0,0,2,1,0,0,0,1,1,0,1,1,0,0,0,1,1,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,1,0,1,2,1,0,0,0,2,2,2,0,1,0,2,0,0,0,0,1,0,0,0,2,1,1,0,2,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0,2,0,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,2,0,1,0,1,0,0,1,2,0,0,0,0,0,0,1,0,0,2,2,0,1,0,0,2,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,2,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,1,2,1,1,1,0,0,0,1,2,0,0,0,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0,2,0,0,1,0,0,1,1,0,0,2,1,2,1,0,1,2,1,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,2,0,1,2,0,1,1,1,0,2,0,1,1,0,0,0,0,0,2,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,2,1,0,2,2,1,0,0,1,1,0,1,1,1,1,0,2,0,0,0,1,0,1,0,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,2,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,2,0,0,2,1,0,1,2,1,2,1,0,0,1,0,1,1,0,0,0,0,0,0,2,0,1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,2,1,1,0,1,1,1,1,2,0,2,1,0,0,1,1,1,2,0,0,0,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,0,2,0,1,0,2,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,2,0,0,0,1,0,0,1,1,0,1,1,0,1,0,1,0,1,1,1,0,2,0,0,0,1,1,2,0,0,0,1,0,1,0,0,0,0,0,2,2,1,0,1,1,1,2,0,0,0,1,0,2,0,1,0,1,0,0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,1,1,0,0,2,0,0,0,1,1,0,2,0,1,1,0,2,1,0,0,1,0,2,0,0,0,1,1,0,0,1,0,1,2,2,1,0,0,0,1,0,0,2,1,2,0,2,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,2,1,1,1,0,0,0,1,0,1,0,0,1,1,1,2,1,0,0,1,0,1,2,1,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,2,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,2,1,1,0,0,0,0,2,0,0,0,0,0,0,1,2,0,0,2,0,1,2,1,0,1,0,2,0,0,0,1,1,1,0,1,2,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,1,0,2,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,2,1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,1,1,1,0 2,1,1,2,1,1,2,2,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,2,2,1,0,1,1,0,2,1,1,0,2,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,1,1,0,1,1,0,1,2,0,0,0,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,2,0,0,1,0,2,1,0,0,1,1,0,0,0,1,0,1,0,2,0,0,1,0,1,1,0,1,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,2,0,0,1,0,1,0,1,0,0,1,0,0,1,0,2,0,0,2,0,0,0,0,1,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0,1,2,1,1,0,0,0,0,0,2,0,0,0,2,0,1,0,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,2,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,2,1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0,2,1,1,1,0,0,0,0,2,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,2,0,0,1,1,0,1,0,1,1,0,2,1,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,1,0,2,1,1,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,2,1,1,2,1,2,0,1,0,0,2,1,1,1,0,1,1,0,1,0,1,0,1,2,0,0,0,1,0,0,2,0,2,0,0,2,1,1,0,2,0,2,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,1,1,2,2,0,0,0,1,0,0,0,1,0,0,0,0,2,2,0,2,1,1,0,0,0,0,0,0,0,1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,2,0,2,0,1,0,0,1,1,1,2,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1,2,2,0,2,2,1,0,0,0,0,1,2,2,1,1,1,0,2,2,1,0,0,0,0,0,1,0,0,1,0,2,0,1,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,1,0,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,2,0,0,0,1,0,1,0,0,0,2,2,1,0,1,0,2,0,0,1,2,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,2,0,0,0,0,0,1,1,0,2,1,1,0,1,0,1,2,0,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,1,1,1,0,0,1,1,1,1,0,2,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,2,0,1,0,2,1,2,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,2,0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,1,1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,2,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,2,1,1,1,1,1,0,0,0,2,0,0,2,0,1,2,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,2,2,1,1,0,0,1,1,0,2,0,1,0,0,0,1,0,0,0,0,2,1,1,1,0,2,0,0,0,2,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0,1,2,1,0,0,2,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0 1,0,0,2,0,0,0,1,0,1,0,1,0,0,0,0,1,0,2,0,0,0,1,1,1,2,1,2,1,0,1,0,0,0,1,0,1,0,0,1,2,1,0,2,1,0,0,1,1,2,0,0,1,0,0,0,1,0,2,0,0,1,1,0,0,0,0,1,1,0,2,0,1,2,1,0,0,0,0,0,0,0,1,1,1,0,2,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,1,2,1,0,0,0,0,0,1,1,1,0,1,0,0,2,0,0,0,0,1,1,0,1,1,1,1,1,2,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,2,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,2,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,2,1,0,1,1,1,1,0,0,1,2,0,0,0,0,1,2,1,0,1,0,2,0,1,0,1,1,2,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,2,1,1,0,0,0,2,0,0,1,1,0,0,1,0,0,0,1,1,1,0,0,1,2,0,1,0,0,1,2,0,0,0,0,0,0,2,1,2,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,2,1,1,0,0,1,2,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,2,0,1,0,1,2,0,1,0,1,1,0,0,0,1,0,0,1,1,0,0,2,0,1,0,1,2,2,2,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,1,2,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,2,0,0,1,1,0,1,2,0,2,1,0,2,0,0,1,2,0,1,0,0,0,2,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,2,1,1,0,0,0,1,1,1,0,1,0,1,0,2,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,2,1,0,0,0,1,2,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,2,1,0,0,0,2,0,1,1,0,0,0,0,0,1,1,1,2,2,1,1,0,0,0,0,0,0,1,0,1,2,1,1,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,1,0,1,0,1,1,1,0,2,0,0,1,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,1,0,1,1,0,1,0,2,0,0,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,1,1,0,2,1,1,2,0,1,0,2,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,2,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,2,0,1,0,0,0,1,0,0,0,2,0,1,0,1,2,2,2,0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,1,2,0,0,0,0,0,2,0,0,0,0,1,0,0,1,1,1,0,1,1,1,1,1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,2,2,1,0,0,0,0,1,0,1,1,0,0,0,0,1,1,1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,2,1,1,1,0,0,1,0,0,0,0,2,1,0,0,0,1,1,1,1,0,1,0,1,0,2,1,1,0,0,1,1,0,0,2,0,1,0,0,0,0,0,2,0,1,0,1,1,0,2,1,1,0,1,2,0,0,0,1,0,0,2,0,1,1,0,1,0,1,1,2,0,0,0,1,1,2,1,0,1,0,0,0,0,1,0,2,1,1,1,1,0,1,1,2,0,1,0,0,0,0,0,1,0,2,1,0,0,0,0,2,1,0,0,0 1,0,2,2,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,2,0,1,2,0,1,2,0,2,0,0,0,1,1,0,0,0,1,0,2,1,1,0,0,1,1,0,1,2,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,0,1,2,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,1,1,0,0,2,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,1,2,1,1,0,1,0,2,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,2,0,2,0,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,2,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,2,0,0,1,1,0,0,0,0,1,0,2,1,0,0,0,0,0,1,0,1,0,2,1,1,0,0,1,1,0,0,1,0,0,2,2,0,1,0,2,1,2,1,0,0,0,0,0,0,2,2,0,1,1,1,2,0,0,0,0,1,1,1,1,1,0,1,0,0,2,1,0,1,0,0,1,2,0,0,1,0,2,1,1,0,1,1,1,0,0,0,0,2,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,2,1,1,0,0,0,0,1,0,1,0,1,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,1,2,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,2,1,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0,0,1,2,0,0,0,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,1,1,1,1,0,0,0,0,2,1,0,1,2,1,1,2,2,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,2,1,0,1,2,0,0,0,1,1,0,0,0,2,1,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,2,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,1,0,0,1,0,1,1,0,1,1,2,0,1,1,1,2,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,2,0,0,0,1,0,0,0,2,0,0,0,1,1,0,2,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,1,0,2,0,0,2,1,1,0,0,2,0,1,0,0,0,0,2,0,1,0,0,0,0,0,0,1,1,0,1,0,2,1,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,1,1,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,2,2,2,1,1,1,1,2,0,1,0,0,0,0,1,0,0,1,2,1,0,2,0,0,0,1,0,0,0,1,0,2,0,2,1,2,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,0,1,2,1,0,0,0,0,1,0,1,2,0,0,0,0,1,1,0,0,1,2,1,0,0,0,2,1,0,1,2,0,0,0,0,1,1,1,2,1,0,0,0,0,0,1,0,0,1,1,0,0,1,1,1,1,1,0,1,1,0,1,0,0,0,2,1,0,0,0,0,0,1,2,0,0,1,0,1,0,1,0,0,0,0,0,1,2,2,0,2,0,0,0,1,1,1,1,0,0,0,0,0,0,2,1,1,0,0,1,0,0,2,0,0,0,2,0,0,2,1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,2,2,0,0,0,0,1,2,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,1,0,2,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,1,1,0 1,0,0,2,1,0,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,1,2,0,1,0,0,0,1,0,2,0,0,0,0,0,1,1,2,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0,2,1,0,0,0,1,2,0,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,2,1,0,0,0,1,0,0,0,0,0,1,0,1,1,2,0,1,1,0,2,1,0,0,0,1,0,2,0,1,0,2,1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0,2,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,2,0,0,0,1,1,0,0,0,0,1,0,0,2,0,1,1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,1,1,2,0,0,2,1,0,1,0,1,1,0,1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,2,1,0,1,1,0,0,0,1,2,0,2,1,0,2,1,1,0,1,0,2,2,1,1,0,0,1,0,1,0,0,0,0,0,1,1,1,1,1,1,0,0,1,1,1,2,0,2,0,0,1,1,2,1,0,0,0,1,1,1,0,0,0,0,1,1,2,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,2,2,0,1,0,1,2,0,2,1,0,0,1,2,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,1,2,1,2,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,2,0,0,0,1,1,2,2,2,1,0,0,1,0,2,1,1,0,1,2,0,0,0,2,1,1,1,0,0,1,0,0,0,0,0,1,1,0,2,0,0,0,0,1,2,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,0,2,0,1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,2,0,0,0,1,0,0,2,0,0,0,0,1,0,1,1,2,1,0,1,1,1,0,1,2,1,0,0,0,2,0,2,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,2,0,1,2,1,0,1,0,1,1,1,0,2,0,0,0,1,2,1,1,1,1,0,2,1,1,2,1,0,1,0,2,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,1,2,0,0,1,0,2,0,1,0,1,1,1,2,1,1,0,1,0,0,0,2,1,0,0,1,1,1,0,1,0,0,0,0,2,0,0,0,1,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,2,2,1,0,0,0,2,0,0,0,0,1,0,1,2,1,0,0,1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,1,1,0,1,0,1,1,0,1,1,2,0,0,0,1,0,1,1,1,0,0,0,0,2,0,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,2,0,0,0,1,1,0,1,1,2,0,1,1,0,1,0,0,0,0,1,0,0,2,0,0,0,1,2,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,2,1,0,0,0,0,1,0,1,1,2,1,0,0,0,1,0,1,0,0,0,0 0,0,0,1,1,0,0,2,1,1,1,1,0,1,1,2,0,0,0,0,0,1,0,0,1,0,1,2,0,0,1,0,2,0,1,0,1,0,0,0,1,1,1,1,1,1,0,1,0,0,1,0,0,0,2,0,0,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,2,0,0,0,1,1,0,1,0,0,1,1,1,2,1,0,1,0,1,0,0,0,0,0,1,0,0,2,2,2,1,0,0,0,0,0,2,2,0,0,1,0,2,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,2,0,1,1,0,0,0,1,2,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,2,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,1,1,0,0,0,1,1,0,0,1,0,1,2,0,0,0,0,0,0,0,1,2,0,2,1,0,1,1,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,1,2,1,1,0,0,1,0,1,1,2,2,1,0,0,2,0,2,1,1,0,0,1,0,0,2,0,1,2,0,0,0,1,1,1,2,1,0,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,2,0,1,1,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,2,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,1,2,0,0,0,1,1,1,0,1,1,1,1,2,1,2,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,1,2,0,0,0,0,0,2,0,0,1,1,2,0,0,1,0,1,0,0,1,1,1,0,0,1,2,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,2,0,1,0,2,0,0,1,0,0,0,0,0,0,2,1,2,1,0,2,1,0,1,0,0,0,1,0,1,1,2,0,1,2,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,2,0,1,1,0,0,0,0,2,2,0,1,0,1,0,0,2,1,0,0,0,0,0,2,1,0,0,2,1,0,2,0,0,0,1,1,0,0,2,0,1,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,1,0,1,1,1,1,1,0,1,2,2,0,1,1,0,0,1,1,0,2,2,0,0,0,0,1,0,1,0,1,0,0,0,1,2,0,0,0,1,0,0,2,1,2,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0,0,2,0,1,1,0,2,1,1,2,0,1,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,2,0,1,1,1,0,0,2,1,0,0,1,0,0,0,0,1,0,1,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,1,0,1,1,2,2,0,0,1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,1,1,1,1,0,0,0,1,2,0,0,0,1,0,0,1,0,2,1,0,1,1,0,1,0,1,0,0,1,0,0,0,2,2,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,2,1,1,0,0,0,0,0,0,1,1,0,1,1,0,2,1,0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,2,1,1,1,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,2,0,1,0,0,1,1,0,1,2,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,1,2,0,1,1,0,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0 2,0,1,1,1,1,1,1,0,1,1,0,1,1,0,0,0,1,2,0,0,0,0,1,2,1,1,2,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,1,0,2,1,1,0,2,1,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,2,1,0,1,0,2,1,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,2,0,1,0,1,1,0,0,1,1,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,2,0,0,0,1,2,0,1,2,0,1,0,1,1,0,1,1,1,1,2,1,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,2,1,1,1,0,1,0,1,0,2,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,1,1,1,1,0,2,2,2,0,1,0,2,0,0,1,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,2,0,1,0,1,0,0,0,1,0,1,2,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,2,1,0,0,1,0,1,0,1,1,2,0,2,1,0,0,2,1,1,0,0,0,0,1,1,2,1,1,1,0,0,1,0,2,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,1,0,1,0,0,1,2,0,1,0,0,2,1,0,0,1,1,1,0,0,0,2,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,1,1,1,2,1,0,2,2,0,1,0,0,1,1,1,1,1,2,0,0,2,2,0,1,0,0,0,0,0,0,0,1,2,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,2,1,0,1,0,2,1,0,1,0,0,0,1,0,0,0,1,0,1,0,1,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,2,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,2,0,1,1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,1,2,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,2,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,1,2,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,1,1,2,2,0,0,0,0,2,1,0,0,0,1,1,0,1,1,2,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,2,1,0,1,0,0,2,1,0,1,1,1,0,2,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,2,1,0,1,0,0,0,0,0,2,1,0,0,1,1,0,0,0,0,2,1,0,0,2,1,0,1,2,0,0,0,1,1,0,0,0,2,0,0,1,0,0,2,0,0,1,1,0,0,0,2,0,1,1,0,0,0,0,0,1,0,1,2,0,0,0,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0,0,2,0,1,0,2,1,0,1,1,0,2,1,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,2,1,0,0,2,0,1,1,2,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,2,0,0,2,0,0,1,1,1,0,0,0,0,0,1,1,2,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,2,0,1,0,2,0,0,1,0,0,0,0,2,1,1,0 1,0,1,1,0,2,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,1,1,0,1,1,2,1,0,0,0,0,0,1,0,2,1,1,1,0,1,0,1,0,0,0,0,0,1,2,1,0,0,0,0,1,0,2,0,1,0,0,2,0,2,0,1,2,0,1,0,1,1,1,0,0,1,0,0,0,0,0,1,1,2,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0,1,2,0,0,0,1,1,1,0,0,1,2,2,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,2,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,2,0,1,0,0,1,0,2,1,0,0,0,0,0,0,0,0,0,2,1,1,1,1,0,0,2,0,0,0,0,2,0,0,1,0,1,0,0,1,1,1,2,0,0,1,0,1,0,1,0,1,2,0,1,1,2,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,2,1,2,0,0,2,1,0,0,1,0,0,0,0,0,2,1,0,1,0,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,1,1,2,1,0,0,1,2,1,1,0,0,2,0,1,1,1,0,1,0,0,0,1,0,1,0,2,1,1,0,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,1,0,2,0,0,1,2,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,2,0,0,0,1,1,0,1,1,0,0,1,1,1,1,0,1,1,2,0,0,1,0,1,1,1,0,1,0,2,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,1,0,2,1,2,1,1,0,0,0,0,2,0,0,0,0,1,0,0,0,1,1,2,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,2,0,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,2,1,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,2,2,0,0,0,2,0,0,1,1,1,2,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,2,0,0,2,0,0,0,0,0,2,0,1,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,2,0,0,0,0,0,0,1,1,0,0,1,0,2,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,2,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,1,2,0,0,1,2,0,0,1,1,0,0,0,0,0,0,1,0,1,0,2,1,2,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,2,0,0,1,2,0,0,0,0,1,2,1,2,1,1,1,1,0,0,0,0,1,0,0,1,0,1,1,0,0,2,1,0,0,0,0,1,2,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,2,0,0,0,0,0,1,2,0,2,1,1,0,1,0,0,0,1,0,0,2,1,1,0,1,1,0,0,0,0,0,2,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,2,0,1,0,1,0,2,1,0,1,0,0,0,0,1,0,1,0,2,0,0,0,2,1,1,1,0,1,1,0,0,0,2,0,0,0,0,0,1,0,0,2,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,2,0,1,2,0,1,0,0,0,0,0,0,1,2,1,0,1,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,1,1,0 0,0,0,0,1,1,0,2,0,2,0,0,0,0,0,2,0,0,0,0,0,0,1,0,2,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,1,2,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,1,0,2,1,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,1,1,1,2,0,1,0,2,0,0,0,0,1,1,0,2,0,0,1,0,2,1,1,0,0,0,0,1,2,0,2,0,1,1,1,1,1,0,0,0,1,0,0,1,1,2,1,2,1,0,2,0,0,1,0,2,2,2,0,0,0,2,1,1,1,0,0,0,0,0,0,2,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,2,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,2,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,2,0,1,0,1,1,0,2,1,1,0,0,0,0,0,0,0,0,2,0,1,0,1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,0,2,0,0,0,1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,1,0,0,1,2,0,0,1,2,1,0,0,1,0,0,0,1,0,0,2,1,1,1,0,1,2,2,1,0,2,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,1,1,0,0,1,1,1,2,0,0,0,1,1,1,2,1,0,1,2,0,1,1,1,1,0,1,0,1,2,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,2,1,0,0,1,0,1,1,0,0,0,1,0,0,0,2,0,2,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,2,0,0,2,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,1,0,2,1,1,1,0,0,1,1,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,1,2,2,1,2,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1,1,2,2,0,0,1,0,0,2,0,0,1,0,0,0,1,1,1,1,0,2,0,0,0,1,0,1,2,1,2,2,0,2,0,0,0,0,1,1,0,0,0,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,1,2,0,0,1,0,0,0,1,0,0,1,0,1,1,0,2,0,1,0,0,2,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0,1,2,0,0,0,0,1,0,1,0,1,1,1,1,1,0,0,0,2,0,2,0,0,0,1,0,1,2,0,1,1,0,0,1,1,2,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,2,2,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,2,0,0,0,0,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0,2,0,0,0,1,0,0,0,1,2,1,0,1,1,2,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,2,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,1,1,1,0,1,2,1,0,0,1,1,1,2,1,0,1,0,2,1,1,1,1,0,1,0,0,0,1,1,0,2,0,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,2,2,1,0,0,0,0,0,2,0,1,1,0,0,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,2,0,0,2,1,1,2,0,0,2,1,1,1,2,0,1,0,2,0,2,1,0,0,1,0,0,2,1,2,1,1,1,0 0,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,2,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,2,0,0,0,1,0,0,0,0,0,0,2,2,0,0,1,0,0,0,1,1,2,0,0,0,1,0,1,0,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0,2,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,2,0,0,0,0,1,0,1,0,0,2,0,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,2,2,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,1,1,1,0,1,0,2,0,0,0,2,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,2,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,1,2,1,1,1,1,0,1,1,0,0,0,2,1,0,1,1,1,1,1,0,1,2,0,0,2,0,2,0,0,1,0,0,0,0,2,2,0,0,0,1,0,0,2,0,0,0,0,1,0,1,0,1,0,0,2,0,1,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,2,1,2,2,1,0,1,0,2,1,0,1,0,0,1,0,1,2,0,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,2,1,0,0,2,0,0,0,0,2,0,0,0,0,1,0,0,0,2,1,1,0,0,0,1,2,2,1,0,0,0,1,0,0,2,2,0,0,0,0,0,2,0,0,0,0,2,0,1,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,2,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,1,0,1,0,1,1,0,2,1,0,0,0,0,0,2,2,1,0,1,1,0,0,0,0,0,0,0,0,2,1,1,2,2,2,1,0,1,1,0,0,0,1,2,1,0,0,1,1,0,1,1,0,0,0,2,1,1,0,1,0,1,1,0,1,2,2,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,1,1,1,1,0,1,2,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,2,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,2,2,2,0,1,2,0,2,0,0,1,0,0,0,0,1,0,1,0,1,0,1,0,2,1,0,1,1,0,1,0,2,0,1,1,0,0,1,0,0,0,1,0,1,0,0,2,0,1,0,2,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,2,2,1,2,0,2,1,1,0,0,0,0,0,0,1,1,0,0,2,0,0,0,2,0,0,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,2,0,0,0,2,0,0,0,0,0,2,0,1,0,0,0,0,1,0,1,2,0,1,1,0,0,2,0,0,1,1,0,1,0,0,0,1,1,0,2,1,0,0,1,1,0,0,1,1,0,1,1,1,1,0,1,2,1,0,0,0,0,2,1,1,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,2,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,1,2,0,1,0,0,1,0,0,0,1,2,0,0,0,2,0,0,0,0,0,1,1,2,2,1,0,1,1,2,2,2,0,0,1,0,0,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0,1,2,1,1,0,0,1,0,0,0,1,1,0,2,0,0,0,0,2,1,0,1,1,1,0,2,1,0,0,0,0,0,2,0,1,1,1,1,0 0,0,0,0,0,0,1,0,1,1,0,1,0,2,2,0,0,1,0,0,0,0,2,0,2,0,0,0,0,0,1,0,1,1,1,0,1,1,0,0,1,2,0,1,2,1,0,0,0,0,0,0,1,0,1,0,2,0,0,1,1,0,0,0,0,0,0,2,1,1,1,0,1,1,1,1,1,2,0,0,0,0,0,2,1,2,1,0,2,0,1,0,0,0,2,0,0,0,2,0,1,0,1,1,2,0,1,1,0,1,1,1,0,1,1,1,0,0,2,2,1,1,0,0,0,0,1,2,1,1,1,0,1,2,0,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0,2,0,0,1,2,0,0,0,0,1,1,0,1,2,1,0,1,1,0,0,2,1,0,1,0,0,0,0,0,1,0,2,0,0,2,0,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,2,0,0,0,1,1,0,0,1,0,0,1,1,2,1,0,0,0,0,1,1,0,2,0,0,0,2,0,0,1,0,1,0,1,1,0,1,1,2,0,0,1,1,0,1,1,0,0,1,2,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,2,0,0,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,2,0,0,0,1,0,1,0,0,0,0,0,2,2,1,0,0,2,1,1,0,0,1,0,0,1,2,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,2,0,0,0,0,2,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,2,0,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,1,1,2,0,1,2,0,0,1,0,0,0,0,2,0,0,2,0,0,0,0,0,0,1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,2,0,1,1,2,0,0,0,1,1,1,0,0,1,0,0,0,0,0,2,2,2,0,0,0,1,0,1,2,0,0,0,0,0,0,1,2,0,1,2,0,2,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,2,1,1,0,1,0,0,0,1,0,1,0,2,1,0,1,1,1,2,0,1,1,0,0,0,0,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,0,2,0,1,0,1,0,0,0,1,1,2,1,1,0,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,2,2,1,1,1,1,1,1,0,2,0,1,0,1,1,0,1,0,0,0,2,0,0,0,1,2,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0,2,0,1,0,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1,1,1,0,2,0,0,1,0,0,0,1,1,1,1,1,1,0,1,2,1,0,0,0,1,2,1,1,1,0,0,2,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,0,2,1,1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,2,0,0,2,1,1,0,1,0,0,0,1,0,0,0,0,1,0,1,0,1,0,1,1,1,1,1,0,2,1,0,1,0,1,0,2,0,0,0,0,1,2,2,0,1,1,0,1,0,1,0,0,1,1,0,2,1,1,0,0,0,1,0,0,0,0,1,1,1,0,1,1,0,0,0,0,0,1,1,2,1,0,0,1,0,0,1,2,1,0,0,1,0,0,1,1,0,2,2,0,0,0,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,2,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,1,2,1,0,1,1,0,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,1,1,2,0,1,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0 1,0,0,0,0,0,0,1,0,2,2,0,0,0,1,0,1,1,1,0,0,0,1,0,1,0,1,2,0,1,1,0,1,1,0,0,1,1,1,0,1,1,0,2,1,0,1,1,0,1,0,0,1,2,1,1,2,0,1,0,0,0,0,1,0,2,0,1,2,0,0,1,1,1,2,1,0,0,0,0,1,0,0,0,1,2,1,1,1,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,1,1,0,0,0,1,2,0,0,1,0,1,0,0,1,2,0,1,0,0,1,0,0,0,1,1,0,2,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0,1,1,1,2,0,1,0,0,0,1,0,1,0,1,1,1,2,0,0,0,0,1,0,1,1,2,2,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,1,0,1,2,1,2,2,0,1,0,2,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,1,2,0,0,1,2,0,1,0,1,1,2,0,0,0,1,0,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,2,0,1,2,0,2,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,1,1,1,0,1,0,2,1,0,1,2,1,0,1,2,0,0,1,0,1,2,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,2,2,0,0,1,1,0,1,1,0,1,0,0,2,0,2,0,1,0,0,0,0,1,0,2,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,1,0,2,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,2,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,2,0,0,0,0,1,2,1,0,2,0,0,0,0,1,1,0,0,1,1,2,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,2,1,0,0,1,1,2,0,2,0,1,0,0,2,0,2,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,1,0,0,0,0,1,1,0,0,0,1,0,1,1,1,1,1,1,1,0,2,0,0,0,2,1,2,0,1,1,1,0,2,0,1,1,0,1,0,2,2,0,0,1,0,1,0,0,2,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,1,1,0,2,0,0,0,1,1,1,1,2,0,0,0,0,0,1,1,1,0,0,1,0,1,1,0,0,2,0,0,0,0,1,0,0,2,1,0,0,0,0,1,0,1,0,0,0,1,2,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,2,0,0,1,0,1,0,0,0,1,0,0,1,0,2,0,1,0,2,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,2,0,1,0,0,2,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,2,0,1,1,1,2,0,2,0,1,2,1,1,1,0,1,1,1,0,0,0,1,2,1,0,1,1,1,0,0,0,1,0,0,0,2,0,0,0,0,0,2,2,1,0,1,0,1,2,1,0,0,1,2,0,0,0,2,0,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,1,2,1,0,0,0,1,1,0,0,0,2,0,0,2,2,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,2,1,1,0,1,2,0,0,1,0,1,2,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,1,2,0,0,1,0,2,0,0,1,0,1,1,1,1,1,1,0,1,0,1,2,0,0,2,0,0,0,0,0,0 1,0,1,2,1,0,1,1,1,0,1,1,0,2,0,1,0,1,2,0,0,0,1,0,1,2,1,2,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,2,1,1,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,1,0,1,0,1,0,0,0,0,2,2,0,1,1,0,0,0,0,0,1,0,2,0,2,0,1,0,1,0,1,0,1,0,1,0,2,0,1,1,1,0,1,0,0,0,0,2,1,1,0,1,1,0,0,1,1,0,0,1,0,2,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,2,1,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,1,1,1,1,0,0,2,1,0,0,1,1,0,0,0,1,0,0,2,2,0,0,0,1,0,1,1,0,1,1,2,0,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,1,2,0,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,2,2,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,2,0,0,0,0,1,0,1,0,2,0,0,0,2,1,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,2,0,0,1,0,1,0,1,1,0,0,0,1,0,0,2,0,0,0,0,0,1,0,1,0,2,0,0,0,1,1,2,1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,1,1,1,1,1,0,0,0,1,1,0,1,0,0,2,1,0,0,0,1,0,0,2,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,2,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,2,0,0,0,0,0,0,0,0,1,2,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,2,0,1,0,1,0,2,1,1,1,0,1,0,1,0,0,0,1,0,1,0,2,0,0,1,0,1,1,1,2,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,2,2,0,0,0,1,2,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,2,1,0,0,1,2,0,0,1,0,0,0,0,0,2,0,0,2,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,1,1,1,0,1,0,2,2,1,0,0,0,1,2,0,1,2,0,0,1,0,1,0,0,1,2,1,1,0,2,0,1,0,1,0,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0,2,0,0,0,1,0,0,2,0,0,0,0,2,0,0,1,1,0,1,2,0,0,0,0,1,1,0,1,0,0,1,0,0,2,1,0,1,2,1,1,2,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,1,1,1,2,0,0,0,1,2,1,1,0,0,0,0,0,1,0,0,0,0,0,1,1,1,2,0,0,0,0,1,0,0,2,2,0,0,0,0,1,0,1,0,0,2,0,0,0,0,1,2,1,2,0,1,0,1,2,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,2,2,1,0,0,1,0,1,1,0,2,2,0,1,1,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,2,0,0,0,1,1,2,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0 0,0,0,1,1,0,0,0,2,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,2,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,2,1,1,2,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,1,0,2,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,1,2,1,1,1,1,0,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,2,0,0,1,0,0,0,0,1,0,0,2,2,0,1,2,0,0,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,1,1,1,1,1,0,2,0,0,1,0,0,1,0,0,0,1,0,1,2,1,0,2,2,0,0,0,0,1,1,0,1,2,2,0,1,0,1,0,0,1,0,0,0,0,1,2,0,0,1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,2,0,0,0,1,0,1,2,0,0,0,1,1,0,0,1,0,1,0,2,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,2,1,0,1,0,0,0,0,0,0,2,0,0,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0,0,2,0,0,1,1,1,0,0,0,2,0,0,1,1,1,0,1,1,0,0,2,0,0,0,1,0,1,2,0,0,0,1,0,2,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,2,0,0,0,0,1,0,1,2,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,1,2,1,0,0,0,0,1,0,2,1,1,0,0,0,1,0,1,0,0,1,2,1,1,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,1,1,0,0,2,1,0,0,0,0,1,0,1,1,0,1,1,1,0,1,2,1,1,1,0,0,0,0,1,0,0,0,0,0,2,0,0,1,2,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,2,1,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0,1,1,2,1,2,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,2,2,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,1,1,1,0,1,1,0,1,2,1,0,2,1,0,0,2,0,0,1,0,0,1,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,2,0,0,0,2,1,0,0,0,0,1,1,0,0,1,1,0,1,1,0,1,2,0,1,0,1,0,2,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,2,0,0,0,1,0,1,0,1,2,1,0,0,1,0,0,0,0,0,2,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,1,1,0,1,0,2,2,0,1,0,0,2,0,0,0,0,2,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,2,1,1,1,0,1,0,0,2,0,2,0,1,0,0,1,1,0,0,0,1,1,1,0,0,0,2,0,1,2,0,0,0,1,0,1,0,0,1,0,0,2,0,1,0,0,0,2,1,0,1,0,1,0,1,1,1,0,0,0,0,1,2,0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,2,0,0,0,0,2,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,2,1,1,0,0,2,1,0,0,0,1,1,1,0,1,0,1,2,0,1,1,0,0,0,0,1,2,0,0,1,0,1,1,1,1,1,0,2,0,0,2,2,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,2,0,0 0,0,2,2,0,0,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,2,2,0,2,0,1,1,0,0,1,0,0,0,0,0,1,2,1,0,0,1,0,0,1,0,1,0,0,0,0,0,2,1,1,0,0,0,1,0,0,2,1,1,0,0,0,0,0,0,2,2,0,1,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,1,1,0,2,1,0,0,1,1,1,1,0,0,1,1,1,1,0,2,1,1,1,1,1,0,1,1,1,0,0,0,1,0,2,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,2,0,1,0,1,0,0,0,0,1,0,1,0,2,1,0,1,0,0,1,0,2,1,0,2,0,0,0,1,0,0,1,0,0,2,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,2,0,0,0,1,1,1,1,1,1,0,1,1,0,0,0,2,2,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,2,1,1,2,1,0,1,0,0,1,0,1,1,0,2,0,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,1,1,1,1,2,1,2,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,2,0,1,2,0,1,0,0,0,0,0,1,2,0,2,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0,2,0,1,0,1,0,1,0,0,1,2,2,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,2,0,0,1,0,2,0,0,1,0,2,1,0,2,1,1,0,1,0,1,0,1,0,2,0,1,1,1,0,2,1,0,0,0,0,1,1,1,0,1,1,2,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,2,0,2,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,1,0,0,0,1,2,2,0,1,0,0,0,1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,1,1,0,2,0,0,0,0,0,0,0,1,0,1,1,1,0,2,0,2,0,0,1,2,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0,2,1,1,2,0,2,1,0,1,0,2,2,0,0,0,1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,1,0,0,0,2,1,2,0,0,0,0,0,0,0,1,1,0,2,1,0,0,1,1,0,0,0,0,2,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,2,0,1,1,1,2,0,1,0,1,0,0,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,1,1,2,0,0,1,1,2,1,0,1,1,0,1,1,1,0,1,1,2,0,1,1,1,0,1,0,0,1,0,0,1,0,2,1,2,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,1,0,1,0,0,2,1,0,0,2,1,2,0,0,0,0,1,1,1,0,1,1,0,2,0,0,0,2,0,2,2,1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,2,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,1,0,1,0,2,1,1,0,1,0,1,0,1,0,1,0,0,2,1,0,0,1,0,1,0,0,0,0,0,2,0,0,1,0,1,0,0,0,0,0,2,2,2,1,0,1,0,1,0,0,1,2,0,0,0,0,1,0,2,1,0,0,0,0,1,0,2,0,0,0,0,1,0,1,0,2,1,1,1,1,0,1,2,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,2,0 0,1,1,1,0,0,0,1,2,0,2,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0,2,1,1,0,0,2,0,2,1,1,0,1,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,2,1,1,0,0,1,1,0,1,1,0,0,0,0,0,1,2,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,2,0,2,0,0,2,2,0,0,0,0,0,0,0,2,0,1,0,1,0,1,1,0,0,0,2,1,1,0,0,2,2,0,1,2,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,2,0,1,1,1,0,0,0,0,0,1,1,0,0,0,2,0,2,2,1,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,2,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,2,1,0,2,0,0,0,2,1,1,1,0,1,0,2,1,0,0,0,0,0,1,1,1,0,2,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,2,1,0,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,2,0,1,1,0,0,1,0,0,1,0,0,2,1,1,0,2,1,1,1,0,0,2,0,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,2,0,0,1,0,0,0,1,2,1,0,1,2,0,1,1,0,1,2,0,1,0,0,2,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,2,1,1,1,0,0,0,0,1,1,1,1,0,1,1,2,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,2,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,2,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,1,2,1,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,1,1,1,0,2,2,1,1,0,0,0,1,0,0,2,0,0,0,1,0,1,2,0,0,1,1,0,0,2,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,1,1,1,2,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0,1,2,0,0,2,0,1,0,1,0,0,0,0,2,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,2,1,2,0,0,0,1,1,0,0,0,0,1,0,1,1,1,1,2,1,0,2,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,1,2,0,1,0,1,1,1,1,1,1,0,1,0,2,1,1,0,0,0,0,2,0,1,1,0,1,2,0,1,0,0,0,0,1,2,1,0,1,0,0,1,2,2,0,0,0,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,0,1,1,1,1,1,1,0,0,0,2,1,0,0,1,0,1,0,1,2,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,2,0,2,0,1,0,0,0,0,1,1,0,0,1,0,0,0,2,0,0,1,0,0,0,1,0,0,1,2,0,2,1,0,0,2,0,1,0,0,2,0,0,1,0,1,2,0,1,0,2,0,1,1,1,0,1,0,0,2,0,0,0,1,0,0,0,0,1,0,0,1,0,1,2,0,1,0,1,0,0,0,1,1,2,0,0,2,0,1,1,1,0,1,0,2,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,2,0,1,1,0,0,1,1,0,1,0,2,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0 0,0,1,1,0,1,1,1,0,1,0,0,0,1,2,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,2,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,2,2,1,0,1,0,0,0,0,2,1,0,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,2,1,0,0,1,0,0,0,0,1,0,1,1,1,2,1,0,0,0,1,2,0,1,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,2,0,1,0,0,2,0,1,1,2,0,1,1,2,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,2,1,1,0,1,1,0,1,1,1,2,1,0,1,0,2,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,2,2,0,1,0,0,1,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,2,1,0,1,0,1,0,0,0,0,1,2,0,0,1,0,0,2,1,0,0,0,2,0,0,0,2,1,0,0,0,0,0,0,1,1,1,0,2,1,1,2,1,2,0,0,1,0,1,2,1,1,0,0,0,1,0,2,0,1,1,1,1,0,0,0,1,1,0,0,2,0,1,0,0,0,1,1,1,0,0,0,2,0,1,0,1,0,1,1,0,2,2,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,2,0,1,1,2,0,1,0,0,2,1,1,1,1,0,0,0,0,0,0,2,0,1,1,0,0,0,1,0,2,2,0,0,1,0,1,0,0,0,0,1,0,0,2,0,1,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,1,0,1,0,2,0,1,1,0,1,0,0,0,0,1,0,2,0,0,1,1,1,2,1,1,1,0,2,2,0,0,1,1,0,1,0,0,0,1,0,0,0,0,2,0,0,0,0,1,2,1,0,0,0,0,2,1,0,1,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,1,1,1,0,2,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,1,2,0,0,0,0,0,0,2,0,1,0,1,0,1,1,1,2,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,2,0,1,0,2,0,1,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,1,0,1,1,1,1,2,1,0,2,0,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0,0,2,1,1,1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,2,0,1,1,0,0,0,0,1,1,1,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,2,0,1,1,1,0,0,0,0,1,1,0,1,1,0,1,1,2,1,0,0,1,2,0,0,0,2,2,1,1,0,1,0,0,0,0,1,0,1,0,0,1,0,2,0,0,2,0,0,1,1,1,1,0,0,1,2,0,0,1,1,0,0,0,0,2,0,0,0,0,1,0,2,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,2,2,1,0,2,0,1,0,1,1,1,0,0,0,0,1,1,0,0,2,0,1,2,2,0,0,0,0,1,0,1,1,0,0,1,0,1,0,2,0,0,0,1,0,0,0,0,1,2,0,0,0 2,0,0,1,0,0,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,2,1,1,1,0,1,1,0,0,0,1,1,0,0,2,1,0,0,0,1,1,2,2,1,0,2,1,1,0,0,1,0,0,0,2,0,0,1,0,0,0,2,0,1,0,0,1,0,0,1,0,1,2,0,0,2,0,0,0,0,1,0,0,0,2,0,0,0,2,1,1,0,1,1,1,0,2,0,1,0,1,2,0,0,0,1,0,0,0,0,0,2,0,1,0,1,1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,2,0,0,0,0,1,1,2,1,1,1,0,1,1,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0,2,0,0,0,1,0,0,1,0,1,0,0,0,2,0,0,1,0,0,1,0,1,0,0,2,0,1,0,1,1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,1,2,1,1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,1,0,1,0,0,2,1,0,0,0,1,2,0,1,1,0,2,0,0,0,0,0,0,2,1,0,1,1,0,1,0,0,0,0,1,1,2,0,0,0,0,2,0,1,0,2,0,1,1,0,0,0,2,1,1,1,2,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,1,1,1,0,0,2,0,1,0,1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,2,1,0,0,0,1,1,1,0,0,0,2,1,2,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,1,0,0,2,0,0,0,2,2,0,0,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,2,0,0,0,0,1,1,1,0,1,0,0,1,0,2,2,1,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,2,2,0,2,0,0,0,0,0,0,0,2,1,0,1,1,2,2,0,2,0,1,0,2,1,0,1,1,0,1,1,2,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,2,1,1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,1,0,1,0,2,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,2,0,0,1,1,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,1,2,0,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,1,2,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,0,1,2,1,0,2,0,1,0,1,0,0,1,0,1,0,0,1,1,2,0,0,0,2,0,0,2,1,0,0,1,0,1,0,2,0,1,0,2,0,0,0,0,1,0,0,1,1,2,1,0,2,0,0,1,0,0,1,1,0,1,2,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,2,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,2,1,0,0,0 0,0,1,1,1,1,0,1,0,0,2,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,2,2,0,2,1,0,0,1,0,0,0,0,0,0,1,2,1,0,2,1,1,1,0,0,1,1,0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,2,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,2,1,0,0,1,1,0,0,0,0,0,0,1,0,0,2,1,0,1,0,0,2,1,0,1,0,0,2,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,2,1,0,1,0,1,0,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0,1,2,0,0,1,0,0,2,0,1,0,1,1,1,1,2,0,1,0,0,1,0,0,1,0,1,0,2,1,0,1,0,0,0,2,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1,2,1,0,2,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,1,1,1,1,0,1,2,0,0,0,0,0,2,1,1,1,0,0,2,1,1,1,1,0,1,1,0,2,0,0,0,0,0,1,1,1,0,0,1,1,0,1,0,1,0,1,0,2,1,0,1,1,0,0,2,1,0,2,1,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,2,0,0,1,0,2,0,0,0,0,0,0,0,1,1,0,0,0,0,2,2,0,1,0,0,2,0,1,1,0,1,1,1,0,1,0,1,0,1,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,1,1,0,1,0,2,0,1,0,0,2,0,0,1,1,0,0,0,0,0,0,1,2,0,0,2,1,2,1,0,0,2,2,0,1,1,1,0,0,0,0,2,1,1,0,1,0,2,0,1,0,1,0,0,0,1,0,1,1,0,0,0,1,0,2,0,1,2,1,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,1,1,1,0,2,0,0,0,0,0,2,1,0,0,2,0,0,0,1,1,0,0,0,2,1,1,0,1,1,1,1,0,1,1,2,0,0,0,1,0,1,0,1,1,0,0,0,1,1,0,0,1,2,1,1,0,0,1,2,0,0,2,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,2,0,1,1,1,0,0,0,0,2,0,0,1,1,1,0,1,1,0,1,1,0,1,1,1,1,1,0,0,1,0,1,0,2,0,0,1,0,0,1,1,0,0,2,0,1,1,1,2,1,1,0,1,1,0,0,0,1,0,0,2,0,1,1,0,0,0,1,1,0,1,0,1,1,2,0,1,0,0,0,0,0,2,0,0,0,1,0,0,2,0,1,0,0,1,0,0,0,1,0,1,1,1,1,2,1,0,0,1,1,0,2,0,0,0,0,1,0,1,0,1,0,1,0,0,0,1,0,1,2,1,0,1,1,0,1,1,0,0,0,0,0,1,0,2,2,2,0,0,0,0,0,1,0,1,1,1,0,2,1,1,1,0,0,1,0,1,1,0,0,2,1,1,0,0,0,0,0,2,0,1,1,2,1,2,1,0,0,0,1,1,1,2,1,2,1,1,0,0,0,0,1,1,0,1,0,1,1,0,0,0,2,0,0,0,0,0,1,0,2,1,0,0,0,1,1,2,2,0,0,0,0,0,1,2,0,0,1,0,0,1,0,1,1,2,0,0,0,0,0,2,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,2,0,1,1,0,2,1,1,0,0,0,0,2,2,2,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,1,0,0,2,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,1,1,0,0,1,1,1,1,1,0,0,0,0,0,2,1,0,0,0,1,0,0,1,2,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,2,0,0,0 2,0,1,0,0,1,1,0,0,0,0,0,1,1,1,1,0,2,0,0,0,1,0,0,0,2,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,2,2,0,0,0,1,0,0,1,2,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,2,0,2,0,1,0,1,1,1,0,2,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,2,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,2,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,1,1,2,2,0,0,1,1,0,2,1,0,0,0,0,0,0,1,0,2,0,1,0,1,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,2,2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,2,0,1,1,0,0,2,0,0,1,1,1,0,0,0,1,2,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0,1,2,1,1,1,1,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,1,0,0,1,1,1,1,1,2,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,2,1,1,0,0,0,0,1,1,0,1,0,2,0,2,0,1,0,1,0,1,1,2,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,2,0,1,2,0,0,1,1,1,1,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,2,2,1,1,0,0,0,1,2,0,0,1,1,1,2,0,0,0,1,0,2,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,2,2,0,1,1,1,0,0,1,2,0,0,0,0,1,0,1,0,0,1,0,1,0,0,1,1,1,2,1,1,1,2,0,1,1,0,0,0,0,1,0,0,1,2,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,2,1,0,0,0,0,1,2,2,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,2,1,0,0,0,0,0,0,0,2,1,1,0,1,0,0,1,1,1,2,0,0,0,0,1,0,2,1,0,1,0,1,1,0,1,1,0,1,0,1,0,1,1,1,0,0,1,2,0,0,1,2,1,0,0,1,0,0,0,0,1,1,0,0,2,0,0,0,0,1,0,1,0,2,0,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,2,0,0,0,0,0,1,0,2,0,0,0,2,0,0,0,1,0,1,1,1,0,0,2,1,1,1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0,0,2,0,1,1,1,0,0,0,0,1,1,1,2,1,0,1,0,0,2,1,0,2,1,1,1,1,0,0,2,0,0,0,1,1,2,0,0,1,0,0,1,0,2,0,0,0,0,0,0,1,1,0,0,0,2,1,0,0,2,0,0,0,0,0,0,0,1,0,0,1,0,2,1,2,2,0,0,1,0,0,0,1,2,1,0,0,0,1,0,0,1,2,0,0 1,0,0,1,1,0,0,1,0,1,0,0,2,1,0,1,1,1,1,0,0,0,1,2,1,1,0,2,0,1,1,0,1,1,2,0,1,0,0,0,0,1,0,1,2,1,0,1,0,0,2,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,2,1,2,0,2,0,1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,1,2,0,0,0,2,0,0,1,0,1,1,2,0,1,0,0,1,2,0,1,1,2,0,1,0,2,0,1,0,0,0,0,0,1,2,0,1,1,0,2,1,0,1,0,0,1,0,0,0,0,1,2,1,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,2,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,2,0,1,1,0,0,1,1,0,0,1,0,0,1,1,2,0,0,0,0,0,0,1,0,0,0,0,1,1,2,0,0,0,0,1,0,1,2,1,0,1,2,0,0,0,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,2,1,0,1,0,0,1,1,0,2,0,0,1,1,0,2,0,1,0,0,0,1,1,1,2,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,2,1,0,2,0,2,1,0,1,2,2,1,0,0,1,0,0,0,1,0,0,1,2,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,1,0,1,0,1,2,1,0,1,0,0,0,1,1,1,1,0,2,1,0,0,2,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,2,0,1,0,1,1,1,1,0,0,0,0,2,1,0,2,0,2,0,2,1,2,0,1,0,2,0,0,0,1,0,0,1,2,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,2,2,1,0,2,0,0,0,0,0,2,0,0,1,0,1,0,0,0,0,1,0,2,0,0,2,2,1,1,1,0,1,1,0,1,0,2,0,0,0,0,0,0,0,2,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,2,2,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,2,0,2,2,0,1,2,1,0,2,1,0,1,0,0,1,1,0,2,1,1,0,1,2,0,1,0,1,1,1,1,0,1,1,2,0,0,1,1,0,0,1,1,1,0,0,0,0,0,1,1,0,1,2,0,0,2,0,0,0,0,0,0,0,1,1,1,0,0,2,1,0,0,1,0,0,2,0,1,0,1,0,2,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,2,0,0,0,1,0,1,0,1,0,0,1,0,2,2,1,0,1,2,0,1,1,1,0,0,0,0,2,0,1,0,1,0,2,0,1,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,2,1,1,0,0,0,1,0,0,1,0,1,1,0,2,0,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0,2,0,0,0,0,0,1,0,1,2,0,1,2,0,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,0,1,1,1,2,0,0,0,1,1,2,1,0,0,2,1,0,0,2,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,0,2,1,0,0,0,1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,1,0,1,1,0,0,2,0,0,1,1,0,1,2,1,0,0,2,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,2,1,0,1,2,1,0,0,0,0,1,0,0,0,2,0,0,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,1,0,0,2,0,0,0,1,1,0,1,1,1,2,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,2,0 2,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,1,0,0,2,0,1,2,0,0,1,1,0,0,2,1,1,1,0,0,1,2,1,1,0,1,0,0,1,0,2,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,2,1,0,0,1,0,0,1,0,1,1,2,0,0,1,1,0,2,1,0,0,0,2,1,2,0,0,0,1,1,1,0,1,0,1,1,0,0,0,0,1,1,1,0,0,2,0,0,0,0,1,1,0,0,0,0,0,1,1,1,2,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,1,0,0,0,0,1,1,0,1,1,0,1,0,1,0,1,0,0,2,0,0,1,1,0,1,0,1,0,1,2,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,1,0,1,2,1,0,0,1,1,0,0,2,2,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,2,0,2,0,0,2,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,2,0,0,1,0,0,2,0,0,1,1,2,2,1,0,0,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,2,0,1,0,1,2,0,2,0,2,0,0,0,1,0,0,0,2,1,0,1,1,0,1,0,1,1,0,2,0,0,0,1,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0,1,1,2,2,2,0,0,0,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,2,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,2,2,0,0,0,0,0,1,0,0,0,1,1,0,0,0,2,2,1,1,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,1,1,1,2,1,0,0,0,0,0,0,2,0,2,1,0,0,0,0,0,1,1,0,2,2,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,2,0,1,0,0,1,2,0,0,0,1,1,0,0,1,0,1,0,2,1,0,0,2,1,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,2,1,0,1,0,2,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,2,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,1,1,2,1,1,1,0,0,0,1,0,0,2,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,2,0,0,0,0,2,1,0,1,0,0,1,1,1,1,0,0,1,0,0,2,0,2,0,2,1,0,0,2,1,1,1,0,2,0,0,0,1,0,0,0,0,1,1,2,1,0,1,0,0,2,0,0,0,0,0,1,2,0,1,2,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,2,0,1,1,0,1,2,0,1,1,1,0,0,1,1,1,0,0,0,2,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,2,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,2,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,2,0,1,1,0,1,0,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,2,1,0,0,0 1,1,2,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,2,0,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,2,0,0,0,0,2,1,0,1,0,0,0,0,2,0,0,1,1,0,1,1,1,1,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,2,0,1,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,2,1,0,0,0,1,2,0,0,0,0,0,2,1,0,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,0,2,1,0,0,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,2,0,1,0,0,1,0,2,1,1,2,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,2,1,0,0,1,1,0,1,0,1,1,0,0,0,0,2,1,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,1,2,1,0,0,1,0,0,0,0,0,2,0,0,1,0,1,1,1,0,2,0,0,0,1,1,1,2,0,0,0,2,0,1,1,0,0,0,1,1,0,0,0,1,0,0,1,1,1,2,1,0,2,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,2,1,1,1,0,0,0,1,1,0,0,1,2,1,1,1,1,0,1,0,0,0,0,2,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,2,1,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,1,2,1,2,0,0,1,0,0,0,1,1,2,1,0,1,0,0,2,1,0,0,0,2,0,1,0,0,0,0,0,1,1,1,1,0,2,0,1,0,0,2,1,0,0,1,0,0,0,1,0,2,1,1,0,1,1,0,1,0,0,0,0,1,2,1,0,2,0,0,0,1,1,0,2,0,0,2,1,1,1,1,2,1,0,0,2,1,0,1,0,0,0,0,2,0,2,2,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,2,1,0,1,1,0,2,0,1,1,0,0,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,2,0,1,0,1,2,0,0,0,2,0,0,1,0,0,0,0,1,2,0,0,1,2,0,0,0,2,1,0,2,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,2,1,0,0,2,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,2,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,0,2,1,2,1,0,0,0,1,0,1,0,0,0,0,1,1,0,2,0,0,0,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,1,0,0,1,2,1,1,0,1,0,0,1,2,0,0,0,0,1,0,1,1,0,0,1,1,0,1,2,0,0,2,1,1,0,0,2,0,0,0,0,0,1,1,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1,2,0,0,1,1,0,0,0,0,0,1,0,2,1,2,2,0,1,0,0,0,0,2,1,1,0,1,2,1,1,2,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,1,2,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,1,2,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0 1,0,2,1,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,2,1,1,2,0,0,0,0,0,1,0,2,0,0,0,0,0,0,2,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,1,1,1,2,2,0,0,0,0,2,0,0,2,0,2,1,0,0,1,0,2,0,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,2,0,2,0,1,2,0,2,1,1,0,0,0,0,1,1,1,1,1,0,1,2,0,1,0,2,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,1,0,2,0,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,2,0,0,0,1,0,2,1,0,0,2,2,0,1,0,1,0,0,0,1,0,2,0,0,0,1,0,0,0,1,1,1,2,1,2,0,0,1,1,2,0,0,1,0,0,1,1,0,1,1,1,0,0,1,0,1,2,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,1,2,0,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,2,1,0,0,1,0,0,0,0,1,0,2,1,1,1,0,2,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,0,1,1,2,0,0,0,0,2,1,1,1,1,0,1,0,1,1,0,1,0,2,0,0,1,0,0,1,2,1,0,0,1,0,2,1,1,0,0,2,0,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,1,1,0,2,1,0,0,0,0,2,0,2,0,0,0,0,0,0,1,1,0,0,2,2,0,2,0,0,1,1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,2,0,1,1,0,1,0,0,0,2,0,1,0,1,0,0,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,2,1,0,1,0,0,0,2,1,0,0,0,2,0,0,2,0,1,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,2,1,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,1,2,0,0,0,1,0,0,0,0,1,0,1,0,2,1,0,0,0,0,0,0,1,0,2,1,1,1,1,0,1,1,2,2,2,0,1,0,1,0,0,1,2,0,0,1,0,2,0,1,0,2,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,2,0,0,0,2,1,1,0,1,0,0,0,0,0,1,0,2,1,1,1,1,1,0,1,0,0,0,0,2,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,2,0,2,0,1,2,1,0,0,0,0,0,0,0,0,0,2,0,1,1,0,1,1,0,0,0,0,1,1,0,2,0,0,1,0,0,1,0,1,0,1,1,0,0,0,1,1,2,1,0,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,2,0,1,2,1,0,1,2,1,0,0,1,1,0,0,0,0,1,2,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,2,0,1,1,1,0,0,1,1,0,1,0,2,0,0,0,2,1,0,1,1,2,0,0,0,0,0,1,0,0,1,0,2,0,0,2,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,2,1,0,0,0,0,1,1,0,1,1,1,1,0,2,0,1,1,0,0,1,1,1,0,1,2,0,0,0,0,1,0,1,0,1,1,0 1,0,1,0,0,0,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,2,0,1,1,1,0,0,1,1,2,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,1,1,1,0,0,1,1,1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,2,0,1,0,0,0,2,0,1,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,2,2,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,2,1,0,0,0,1,0,0,0,0,0,0,1,1,2,0,1,0,0,0,1,2,0,0,1,0,0,0,1,1,1,1,1,0,1,1,1,0,2,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,1,2,1,2,0,2,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,2,1,0,0,0,1,1,0,1,1,0,0,1,2,0,1,0,1,2,0,0,1,1,0,0,1,0,1,1,0,0,0,2,0,1,0,0,0,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,2,0,0,1,1,0,2,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,1,2,1,1,2,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,1,0,0,0,2,1,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,2,0,0,1,0,0,0,1,1,2,0,0,0,1,1,2,0,1,0,1,0,0,0,0,1,1,1,1,0,0,0,1,0,2,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,2,0,0,1,1,1,1,0,0,0,0,0,0,1,1,0,1,2,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,2,1,0,0,1,1,0,0,0,1,0,0,0,1,2,2,1,1,2,1,0,2,1,1,2,0,1,1,1,0,0,2,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,1,2,0,0,1,2,1,0,2,0,2,2,0,0,1,0,1,0,2,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,1,2,0,0,0,1,0,0,0,2,0,1,1,1,0,1,0,1,2,1,1,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,1,2,0,1,0,1,0,0,0,0,0,1,1,2,0,2,1,1,0,1,0,0,1,0,0,1,0,0,2,0,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,1,1,1,1,1,0,0,2,1,1,0,1,0,1,0,1,1,1,1,0,2,2,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0,1,2,1,0,0,0,0,1,1,0,1,2,0,0,0,1,0,0,0,0,2,0,2,1,0,0,0,0,0,0,0,0,0,2,2,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,2,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,2,2,0,0,0,1,0,1,0,0,2,1,0,0,0,0,1,0,1,1,0,0,2,2,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0 0,0,1,2,1,0,1,0,1,0,0,0,1,0,1,0,2,1,0,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,1,1,2,0,1,0,0,0,1,0,2,1,0,0,0,1,0,2,1,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,1,2,0,0,0,0,2,1,0,0,0,2,0,0,1,0,0,1,0,2,1,0,0,0,1,0,0,0,0,1,1,0,0,2,2,1,0,0,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,2,0,1,0,0,0,1,1,1,0,2,0,1,0,0,0,0,0,0,1,1,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,1,0,0,1,0,1,0,1,2,1,1,0,1,0,1,0,0,2,1,0,2,2,1,0,0,0,0,0,2,1,0,1,2,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2,1,2,0,0,1,1,0,1,0,0,2,0,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,2,0,0,1,1,0,1,1,0,0,1,0,0,2,0,0,1,0,0,1,0,1,2,0,2,1,1,0,1,2,0,0,0,0,2,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,2,1,0,0,0,1,0,2,1,2,1,0,0,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,1,2,0,2,0,0,0,0,1,1,1,0,2,1,1,2,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,2,2,0,0,2,0,0,1,0,0,2,1,0,2,0,0,1,0,0,0,1,0,0,0,2,0,0,2,0,2,0,0,2,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,1,0,2,0,1,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,2,1,2,1,0,0,0,0,0,1,1,0,1,0,0,0,1,2,0,1,1,0,0,2,0,0,0,1,0,0,1,1,0,0,1,0,0,2,2,0,1,0,1,2,0,1,1,0,1,0,0,0,1,0,0,0,1,1,1,0,0,1,1,0,1,0,1,2,0,1,2,0,1,1,2,1,1,0,1,1,1,0,1,1,0,0,1,0,2,0,0,2,0,1,1,1,0,0,0,0,0,0,0,1,1,0,2,2,0,0,0,0,0,1,0,1,0,2,2,0,0,1,0,0,2,1,1,2,0,0,2,1,0,0,0,0,0,0,1,0,1,2,0,1,0,0,0,0,1,1,0,0,0,1,1,2,0,1,1,0,0,1,0,1,0,0,0,1,0,0,2,1,1,1,0,0,0,0,1,2,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,1,1,0,0,0,1,0,0,1,0,1,2,0,0,1,2,0,1,1,2,0,1,1,0,1,1,1,0,1,0,0,1,2,0,1,1,1,1,1,1,0,0,1,0,1,2,1,0,0,0,2,0,1,1,0,1,2,0,0,1,0,1,0,0,0,0,2,0,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,1,1,1,2,2,1,1,1,0,1,1,1,0,1,1,0,2,1,0,2,1,0,1,0,0,1,0,1,1,1,0,1,2,0,0,0,0,1,0,2,0,1,0,0,0,1,0,1,1,0,0,0,0,1,1,0,2,0,1,1,1,0,0,1,0,0,0,0,0,1,2,2,0,1,2,0,0,0,1,0,0,1,0,2,2,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,2,1,0,1,0,2,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,2,0,1,2,0,0,1,1,0,1,2,0,2,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0 2,0,2,0,0,0,0,2,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,2,1,0,1,0,0,1,1,1,0,1,0,2,0,1,0,0,1,2,1,1,0,0,0,2,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0,2,1,0,0,0,0,1,0,0,0,1,0,1,1,2,2,0,1,0,1,0,0,1,0,0,1,0,0,2,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,2,2,0,0,0,1,0,0,1,0,0,2,0,0,1,2,1,0,0,0,2,0,0,0,0,0,1,0,0,2,1,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,2,0,0,0,1,0,2,0,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,0,0,2,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,1,2,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,2,1,1,1,1,1,0,0,1,2,0,0,0,0,0,2,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,2,1,2,1,1,0,0,1,0,0,0,0,1,1,1,1,0,2,0,0,1,0,0,1,2,1,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,1,1,2,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,2,1,1,1,1,0,0,0,2,1,0,0,1,1,1,0,1,1,0,2,0,1,0,1,0,1,1,1,2,0,1,0,0,2,0,0,0,0,0,1,2,1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,2,1,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,1,0,1,0,0,1,2,0,1,2,1,0,0,0,0,2,1,0,0,0,1,0,0,0,0,1,1,1,0,2,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,2,1,0,0,1,1,0,0,1,1,0,2,0,1,1,0,0,0,1,0,0,2,0,1,0,0,1,0,0,0,1,0,2,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,2,0,0,1,0,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,1,2,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,2,2,1,0,1,2,1,0,0,1,0,0,0,1,1,2,2,1,1,1,0,1,1,2,1,0,0,1,0,1,0,1,0,1,0,2,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,2,0,2,0,1,1,0,0,1,1,0,2,0,1,0,1,0,0,0,1,0,2,1,0,2,0,1,2,1,2,0,0,1,0,0,0,2,1,1,0,0,0,0,0,0,1,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,1,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,2,0,0,0,0,1,2,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,1,0,2,1,1,0,0,0,0,0,0,2,0,2,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,1,0,0,0,1,0,2,0,0,1,1,0,1,2,1,0,0,0,0,1,0,2,0,2,1,1,0,0,0,1,0,0,1,1,2,0,0,1,1,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,1,0,1,1,0,2,1,0,2,0,2,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0 1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,2,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,2,0,0,0,1,0,1,2,1,1,1,0,0,1,0,1,1,0,1,0,1,0,2,0,2,1,0,1,0,0,1,0,0,1,1,2,1,0,2,0,0,0,1,0,0,0,0,0,2,0,0,1,0,2,1,0,0,0,1,0,0,1,1,1,0,1,1,2,1,2,1,1,1,1,0,0,0,1,2,0,2,1,0,2,0,0,1,0,2,0,0,0,1,1,0,1,0,1,0,0,2,0,0,0,1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,1,2,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,2,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,2,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,1,0,0,1,1,1,1,0,0,1,1,1,0,1,2,2,0,0,0,1,1,0,0,1,1,0,1,2,1,1,1,2,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,1,1,1,1,0,2,1,0,2,0,0,1,1,0,0,1,0,0,0,0,0,2,0,1,0,0,1,1,1,0,1,1,0,2,1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,2,0,0,1,1,0,0,1,0,0,2,2,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,2,0,0,1,2,1,0,0,0,0,1,1,2,1,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,2,0,0,0,0,2,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,1,0,1,0,0,1,1,1,0,2,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,2,0,0,2,0,0,0,1,0,1,0,0,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0,2,2,0,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,2,0,0,1,0,1,2,0,0,0,1,0,2,0,2,0,2,0,0,1,0,0,0,0,1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0,0,0,0,1,1,1,1,1,0,0,1,1,2,0,1,0,0,0,0,2,1,0,0,1,0,2,0,1,0,0,0,0,0,2,0,2,1,0,0,0,1,0,1,1,0,1,1,0,2,0,0,1,0,0,1,0,2,0,0,0,2,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,2,1,0,0,2,0,1,0,1,0,1,0,0,0,1,0,1,0,1,2,0,1,0,1,0,0,0,2,1,1,0,1,0,1,0,2,0,0,1,2,0,1,0,0,1,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,1,1,1,1,1,0,0,0,2,0,1,0,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,2,1,0,1,0,0,1,0,2,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,1,1,0,2,2,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,2,0,1,0,1,0,0,1,0,1,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,2,1,0,1,0,0,1,1,0,2,0,0,0,2,1,1,1,0,0,0,2,1,0,1,0,0,0,0,0,1,0,1,0,1,1,0 0,0,0,1,0,1,0,1,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,2,1,0,0,0,0,1,0,0,2,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,1,0,2,0,1,2,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,2,0,1,0,1,1,1,1,0,0,0,0,1,2,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,2,2,1,0,1,0,0,2,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,2,0,0,0,0,2,1,0,0,1,0,0,1,0,0,1,2,1,1,2,0,0,0,0,1,2,0,1,1,0,0,0,0,0,0,0,0,0,0,2,1,1,0,2,0,1,1,0,1,2,1,2,0,0,0,0,0,0,0,0,0,1,0,0,2,0,1,1,1,0,1,1,0,2,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,2,0,1,0,1,0,2,1,1,0,0,1,0,1,0,1,0,1,1,1,0,1,0,1,2,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,2,1,1,1,2,0,0,0,0,1,1,0,0,0,0,0,1,2,1,0,2,2,2,1,0,0,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,2,1,2,1,1,0,0,2,1,1,0,0,0,1,0,1,0,0,0,2,0,0,0,2,0,2,1,0,2,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,1,1,0,0,2,0,2,2,0,1,0,0,1,2,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,1,1,2,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,2,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,1,1,1,2,1,1,0,0,0,2,1,1,1,1,1,0,2,1,0,0,0,0,1,1,0,1,0,1,0,0,1,1,0,1,0,1,2,2,2,0,2,1,0,0,0,0,2,2,0,0,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,2,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,1,2,0,0,0,0,2,0,1,2,0,0,2,0,1,1,1,1,1,1,0,2,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,2,0,0,1,0,0,0,2,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,2,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,2,0,0,0,0,0,0,0,1,0,2,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,2,1,1,0,1,0,0,1,0,2,2,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,2,0,2,1,0,0,0,1,1,0,2,0,1,1,2,1,1,2,1,0,0,1,1,1,0,1,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,1,1,0,2,0,0,2,0,0,0,1,1,1,0,1,2,2,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0 1,0,0,0,0,0,0,1,1,0,1,0,0,2,0,0,0,2,1,0,1,2,0,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,2,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,1,2,1,0,0,2,2,0,0,1,0,2,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,1,0,1,0,2,2,1,0,0,1,2,0,1,0,1,2,0,0,0,1,1,0,0,0,2,1,0,2,0,2,1,0,1,0,1,1,1,0,0,0,0,2,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,1,2,1,0,1,0,2,2,1,1,0,0,0,0,1,2,0,1,2,1,2,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,2,2,0,0,1,0,0,1,0,2,0,1,1,2,0,1,0,0,0,0,2,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,1,2,1,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,2,0,1,2,1,0,0,1,0,1,0,0,0,1,0,1,0,1,2,0,1,0,1,0,0,0,1,0,0,0,0,0,2,0,1,0,0,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0,2,1,0,0,0,0,0,1,0,2,2,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0,1,2,1,1,0,2,1,1,1,0,2,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,2,1,1,0,0,2,0,1,1,1,0,0,1,1,0,0,1,2,2,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,2,1,1,0,0,1,1,1,0,1,1,0,0,2,0,0,0,1,1,0,0,0,0,0,2,2,1,1,0,1,2,0,0,2,0,1,2,0,0,0,0,2,1,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,1,0,0,1,1,1,2,1,0,1,0,0,0,1,1,0,0,2,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0,0,2,0,0,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,2,0,1,1,0,0,2,1,1,0,0,1,0,0,2,1,0,0,0,1,0,0,0,2,1,0,0,1,0,0,0,0,2,0,2,0,1,0,2,0,0,0,1,0,0,0,2,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,2,1,1,1,0,0,2,0,0,1,1,1,1,2,2,1,1,2,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,2,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,2,0,1,0,1,0,0,0,1,1,1,1,0,0,1,0,2,1,0,1,0,0,0,1,1,2,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,2,0,1,0,0,0,1,0,1,0,0,1,2,1,0,1,1,0,0,0,1,0,0,0,0,2,0,0,1,0,1,2,1,1,0,0,2,0,0,1,0,1,2,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,2,1,1,0,0,1,1,0,0,0,0,0,1,0,0,1,2,0,0,0,2,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,2,0,0,0,0,1,1,2,0,2,1,0,1,1,1,0,2,0,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,1,0,1,1,0,0,2,0,1,0,2,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,0,1,1,1,0,0,2,2,0,0,1,1,1,0,0,1,0,0,2,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0 2,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,2,1,2,1,0,0,1,0,1,0,1,1,1,1,0,1,1,2,1,1,1,0,0,1,1,1,0,2,2,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,0,0,2,1,0,1,0,1,1,0,2,0,1,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,2,0,0,1,0,0,1,0,2,1,0,2,1,0,2,0,0,0,0,1,0,0,0,1,0,1,2,1,0,0,0,2,0,1,0,0,0,0,1,1,0,0,1,0,2,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,2,1,0,1,1,0,0,1,1,0,2,0,2,1,2,0,1,0,1,0,2,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,2,0,2,0,0,0,2,1,0,0,2,0,1,2,1,0,1,0,1,0,0,0,1,1,2,0,0,1,1,1,0,2,0,1,0,1,1,0,1,0,0,0,0,0,0,0,2,0,0,1,1,1,0,2,0,2,0,0,1,1,1,2,2,2,1,0,2,0,2,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,2,1,0,1,0,0,1,1,1,0,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,1,2,1,1,0,2,0,2,2,1,1,0,0,0,0,1,1,1,2,0,1,0,0,1,2,0,0,1,0,2,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,2,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,2,0,0,0,0,1,1,1,1,0,1,1,1,0,1,2,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,2,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,2,1,1,1,0,0,0,0,0,1,2,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,2,0,0,0,1,0,0,1,1,1,0,0,0,0,1,1,1,2,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0,2,1,2,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,2,0,0,1,1,0,1,1,1,1,2,0,1,1,0,0,1,0,1,0,1,0,0,1,1,1,0,0,2,1,1,1,1,2,0,1,1,1,0,2,2,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,1,1,0,1,1,0,1,2,1,0,1,2,1,1,1,0,0,0,0,0,1,0,0,1,0,0,1,2,1,0,1,2,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,2,1,0,0,0,0,1,1,1,0,0,1,0,2,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,2,1,0,1,0,0,2,1,0,0,1,0,0,1,1,0,0,2,2,1,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,2,0,1,1,0,0,0,0,0,0,1,2,1,1,0,0,2,0,0,2,0,0,0,1,0,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,2,1,0,0,0,2,2,0,2,0,1,0,1,1,1,0,1,0,0,2,1,1,0,1,0,1,0,0,2,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,2,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,2,0,1,1,1,1,1,0,0,1,0,0,0,2,0,0,1,0,1,0 1,0,0,1,2,1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,2,0,0,0,0,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,2,0,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,2,0,2,0,1,0,2,0,2,0,2,2,2,0,0,1,0,0,0,0,1,0,0,0,2,0,2,0,0,1,0,1,0,2,0,0,2,1,0,0,2,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,1,0,0,1,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,2,0,0,1,0,0,2,0,0,0,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,2,0,0,2,0,0,0,1,0,1,0,1,2,1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,2,0,0,0,0,1,0,0,1,1,0,2,2,0,0,0,2,1,0,1,0,0,0,0,0,0,2,1,0,0,0,1,0,2,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0,2,0,0,1,0,1,0,0,2,1,2,0,0,0,0,2,0,1,1,0,1,1,0,1,2,1,0,0,0,1,1,2,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,2,0,1,1,1,0,0,1,1,0,0,0,2,1,2,0,2,0,2,0,0,0,0,1,2,0,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0,0,1,1,1,0,1,2,1,0,1,1,0,1,0,0,2,1,1,1,2,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,1,2,0,0,0,1,2,0,2,0,0,0,0,0,1,1,0,0,0,2,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,2,1,0,0,2,1,1,1,2,1,1,0,0,2,2,0,2,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,0,1,0,2,0,1,1,0,1,0,1,0,2,1,0,2,0,0,0,0,0,0,0,1,2,1,0,1,1,2,2,0,0,2,1,0,1,1,0,1,0,0,0,0,0,0,0,1,1,2,1,0,2,2,0,1,2,0,2,0,1,0,1,1,1,2,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,1,1,1,0,0,1,0,2,0,0,2,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,2,0,0,0,1,2,0,0,1,0,0,0,0,1,2,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,2,0,0,0,1,0,0,0,0,1,1,1,0,0,1,1,0,1,1,0,0,1,1,2,1,1,2,2,0,0,0,1,1,1,0,1,2,1,0,0,0,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,1,1,1,0,1,0,2,1,0,0,0,0,1,0,1,1,2,2,0,0,0,1,2,0,0,1,1,0,1,1,0,2,2,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,2,0,1,0,1,0,2,0,1,1,0,0,2,2,1,0,1,0,0,1,1,0,1,0,2,0,0,1,1,0,1,0,1,1,0,1,2,1,0,1,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0 0,0,1,0,1,0,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,2,0,0,2,0,1,2,0,0,0,0,0,1,1,0,1,1,0,0,2,1,0,0,1,0,1,0,1,0,0,0,0,2,1,1,1,0,0,0,0,0,0,0,2,0,2,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,1,1,2,1,1,0,1,0,1,1,1,0,1,1,1,0,1,2,1,0,1,1,0,0,1,0,0,0,0,0,0,1,2,1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,1,0,2,0,0,1,0,1,1,0,0,0,0,0,1,2,0,0,0,1,0,0,2,1,0,1,0,1,1,1,0,0,0,2,0,1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0,2,0,1,0,2,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,2,0,2,0,2,2,1,1,2,0,1,0,0,2,0,0,0,0,0,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,2,0,1,2,0,2,1,1,1,0,1,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,0,0,0,1,1,2,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,2,0,1,0,1,1,0,0,0,0,0,1,1,0,0,1,2,0,0,1,0,1,0,0,1,1,2,1,1,0,0,0,1,2,0,0,1,2,1,1,2,1,1,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,2,0,1,2,0,2,0,2,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,2,1,1,2,0,1,1,2,0,0,0,0,1,2,0,1,1,0,1,0,1,0,0,1,2,0,0,2,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0,2,0,1,0,0,0,1,1,1,1,0,1,0,0,0,1,1,0,0,2,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,2,1,1,0,0,0,1,0,1,0,2,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,1,1,0,1,2,1,1,0,0,0,0,1,0,1,1,0,0,1,2,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,2,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,2,0,0,0,0,0,2,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,2,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,1,0,1,0,2,2,0,1,1,1,0,1,2,2,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,1,1,0,1,0,0,1,2,0,2,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,1,1,1,0,0,0,2,0,1,0,0,0,1,1,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,0,1,1,2,0,0,1,0,1,1,1,0,1,1,1,0,0,0,1,0,2,0,0,0,2,0,1,0,0,1,2,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0,2,2,0,1,0,0,0,0,1,1,2,0,0,1,0,2,0,0,0,2,0,0,1,1,0,0,2,0,2,1,1,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,0,2,2,0,0,0,0,0,0,0,0,1,2,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,2,0,0,1,0,0,2,1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,2,1,1,1,0,1,0,2,2,1,0,0,1,0,2,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0 0,0,1,0,1,0,0,1,0,1,1,2,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,2,1,0,1,0,0,0,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,2,2,1,0,0,1,0,0,1,0,0,0,2,1,0,2,0,1,2,0,0,2,1,0,0,0,1,2,1,0,1,0,0,1,2,2,1,0,2,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,1,0,2,1,0,0,0,2,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,2,0,0,1,0,0,2,1,0,0,1,0,0,0,0,0,1,2,2,0,0,0,0,0,1,0,0,0,1,2,2,1,0,2,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,2,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,2,2,1,0,0,2,2,1,0,0,1,0,0,1,1,0,0,1,1,2,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,1,0,2,0,1,2,1,1,0,0,0,0,0,1,1,1,0,2,1,0,1,0,0,2,0,0,1,0,1,1,0,2,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,2,0,0,1,0,2,0,1,2,0,0,0,0,1,2,2,0,1,0,0,1,0,1,1,2,1,0,2,0,0,0,0,0,0,0,1,1,0,1,2,0,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0,2,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,1,1,1,0,1,1,0,2,1,0,0,0,0,0,2,0,0,1,0,1,1,1,2,1,0,1,0,1,1,0,0,0,1,1,0,2,0,0,2,1,0,1,0,0,1,1,2,0,0,0,1,0,0,0,1,1,1,2,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,2,2,0,0,1,0,1,0,2,0,0,1,2,0,1,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,2,0,1,1,2,0,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0,2,0,0,1,2,1,0,0,1,0,1,0,1,0,2,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,2,1,1,2,0,0,0,1,0,0,0,2,0,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,0,2,1,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,1,1,1,0,0,0,0,1,2,2,0,1,0,1,0,0,1,2,0,0,0,0,1,2,0,0,0,2,0,0,0,2,0,0,2,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,1,1,1,0,1,2,0,0,1,1,0,1,0,0,0,1,2,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,0,2,0,0,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,1,1,2,2,1,0,0,0,1,0,0,0,2,0,2,0,1,0,0,0,0,0,0,1,0,0,0,1,0,2,0,0,1,0,2,1,0,0,0 0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,1,0,2,2,0,0,0,1,1,1,1,0,0,1,0,0,1,1,0,1,2,0,2,0,1,0,0,0,0,0,1,0,1,2,1,1,0,0,1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,2,1,1,0,1,1,2,1,1,0,0,0,1,1,1,0,2,0,1,0,0,0,1,0,1,1,0,1,2,0,1,0,0,0,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,1,1,2,1,0,0,0,0,0,0,1,0,1,2,1,2,0,0,0,1,1,0,1,0,0,0,2,0,0,0,2,0,0,2,0,0,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,1,2,0,0,0,1,1,1,2,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,0,2,0,2,1,1,0,2,1,1,1,0,1,1,1,0,0,1,2,1,0,0,1,0,1,1,0,1,0,2,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,2,1,1,0,2,1,0,1,0,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0,0,2,0,0,1,0,0,1,2,0,1,2,0,0,0,1,1,2,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,1,0,2,0,1,0,1,1,0,1,1,0,1,0,2,1,0,0,0,0,2,0,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,2,2,2,0,0,1,2,0,1,1,0,1,0,0,0,2,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,1,1,1,1,0,1,0,1,0,0,2,1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,2,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,2,1,0,2,1,0,1,1,0,0,0,1,0,0,0,0,1,2,0,0,1,1,1,1,2,0,0,0,1,0,0,0,1,1,0,2,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,1,1,0,1,1,2,0,0,0,0,2,2,1,0,2,1,1,1,1,0,1,1,0,0,0,0,1,1,1,0,1,1,0,2,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,2,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,1,0,0,2,0,1,1,1,1,0,2,0,1,1,0,0,1,0,0,1,0,1,0,1,2,0,1,0,0,1,0,0,2,1,1,1,0,0,0,0,2,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,2,2,0,1,1,2,0,0,0,0,1,1,1,0,2,1,1,0,0,1,1,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,1,1,2,0,0,0,1,0,1,2,1,1,0,0,0,0,1,1,0,2,1,0,0,1,1,0,0,0,0,0,1,0,0,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,2,1,2,0,0,2,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,1,1,1,2,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,2,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,1,1,0,1,2,1,2,1,0,0,0,1,0,0,0,0,0,1,0,0,0 1,0,0,2,0,0,0,0,1,2,0,0,0,0,1,0,0,2,0,0,1,1,0,1,1,0,2,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0,2,0,2,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,2,1,0,0,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0,1,1,0,1,1,1,1,1,0,0,1,0,2,0,1,1,2,1,1,1,0,0,0,0,2,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,2,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,2,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,2,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,2,1,2,1,0,0,0,2,0,1,1,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,2,0,2,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,2,0,0,0,1,1,0,0,0,1,1,0,0,2,1,0,0,1,0,0,1,0,0,0,0,1,1,1,1,0,0,0,2,0,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,0,0,2,1,0,0,0,0,0,1,0,0,1,2,0,1,0,0,0,0,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,0,2,0,0,0,0,0,1,1,1,1,0,1,0,2,0,0,1,2,0,0,1,1,1,1,0,0,1,0,0,1,2,1,0,0,0,1,2,0,0,0,0,0,2,0,2,2,0,0,1,2,1,0,0,2,0,0,1,1,0,0,1,1,2,0,2,0,0,2,0,1,1,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,1,1,0,2,0,2,0,0,2,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,2,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,2,0,0,0,1,1,0,1,0,0,0,0,1,1,1,1,0,1,2,0,1,0,1,1,2,1,2,0,0,0,2,1,0,0,1,1,2,0,0,1,0,0,0,0,0,2,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,1,1,1,0,1,0,0,0,1,2,0,0,2,0,0,1,0,0,2,1,0,1,1,2,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,2,1,2,0,1,0,1,0,0,1,1,0,1,1,0,1,0,1,2,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,2,1,0,0,0,0,1,0,0,1,2,2,0,0,0,0,0,1,0,1,0,2,0,1,0,0,0,1,0,0,0,2,2,0,0,1,0,0,2,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,2,0,1,0,0,0,0,0,0,2,1,1,2,1,0,1,1,0,1,1,0,0,1,1,2,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0,2,1,0,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,2,2,0,0,0,0,1,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,2,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,2,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,2,2,0,0,1,0,0,0,0,2,0,2,0,0,0 1,0,0,0,1,0,0,1,0,1,2,0,0,1,0,0,1,1,0,0,0,1,1,0,1,1,1,2,0,1,0,0,2,1,1,0,2,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,2,0,1,1,0,2,0,0,0,2,0,0,1,0,0,1,0,1,2,1,0,0,1,1,1,0,0,2,0,0,0,0,1,2,0,0,0,0,0,0,1,2,1,0,0,0,1,0,1,0,0,0,2,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,2,1,1,0,0,1,0,0,0,1,2,0,0,0,0,0,0,1,2,0,0,2,0,2,1,0,0,0,1,0,1,1,1,0,2,0,0,0,1,0,1,2,2,0,1,0,0,0,2,1,0,0,1,0,0,1,0,0,0,0,1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,2,2,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,2,1,0,1,1,0,1,1,2,1,1,0,1,0,0,2,1,1,2,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0,2,1,1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,1,1,2,1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,1,1,2,1,0,1,2,0,0,0,0,0,0,0,1,0,2,0,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,2,0,2,0,1,0,0,0,0,1,1,0,0,1,2,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,1,0,1,2,0,1,0,0,0,0,1,2,0,0,0,0,1,1,1,2,0,2,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,2,0,0,0,0,0,1,2,2,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,2,0,0,1,0,0,1,0,0,2,1,0,0,1,1,1,0,2,0,0,0,1,0,0,1,0,1,2,1,0,0,1,0,2,0,0,0,0,0,1,1,0,0,1,1,0,1,2,0,2,2,1,1,1,0,1,1,0,1,0,0,0,2,0,0,1,1,0,0,0,0,2,0,0,0,2,0,0,0,2,1,0,0,0,1,0,0,1,0,1,1,1,1,1,0,0,0,2,0,0,1,0,2,0,0,0,0,1,1,0,0,0,2,0,0,1,0,0,1,0,0,2,0,1,1,1,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,1,1,1,1,2,1,0,1,0,0,0,1,1,2,0,0,0,0,0,1,0,0,0,0,1,1,2,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,2,1,0,0,0,1,2,0,0,0,1,0,0,0,0,1,0,0,1,0,1,2,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,2,2,0,1,0,2,0,0,0,2,1,0,1,1,0,1,1,1,0,0,0,0,0,2,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,1,2,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0 0,0,1,2,0,1,0,2,0,1,2,0,1,2,0,1,0,1,0,0,0,1,0,1,1,1,1,1,1,2,2,0,0,1,1,0,1,0,0,2,1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,2,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,2,0,1,1,0,0,1,1,0,1,0,0,2,1,1,1,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0,1,2,0,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,1,2,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,2,0,0,2,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,2,2,1,2,1,1,0,2,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,1,1,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,2,0,1,1,0,0,2,1,1,0,0,2,0,2,0,0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,2,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,2,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,2,2,0,0,0,2,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,2,2,0,0,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,1,0,1,1,2,0,1,0,1,1,1,1,0,1,2,0,1,1,0,1,1,0,1,1,1,0,1,0,1,2,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,2,1,1,0,0,1,0,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,2,0,0,0,1,2,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,2,1,1,1,1,1,1,2,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,2,0,1,0,0,1,0,0,0,0,2,1,1,0,0,2,1,0,0,0,0,0,0,2,0,0,0,0,1,1,0,1,1,0,1,0,1,1,0,2,1,0,0,0,0,0,2,1,0,0,1,0,1,1,1,1,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,2,1,1,0,1,2,1,0,0,0,0,0,2,0,0,0,1,0,2,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0,2,1,1,0,0,2,1,2,0,1,0,0,2,0,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,2,0,0,0,1,0,0,1,1,0,1,2,0,1,0,1,0,1,0,2,1,0,1,1,1,1,1,0,0,1,2,1,0,1,0,0,0,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,1,2,0,0,0,2,0,0,0,2,0,1,0,1,0,0,0,1,2,2,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,2,1,0,1,2,0,0,2,0,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,2,0,1,1,0,0,0,0,0,2,0,0,0,2,2,0,0,0,0,1,1,0,0,0,2,0,0,1,1,0,0,0,1,0,0,1,1,2,1,1,0,2,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,1,0,2,1,0,0,2,0,0,0,0,0,0,2,0,0,0,1,0,0,1,2,0,0,2,0,0,1,1,1,2,1,0,0,0,2,1,1,0,0,0,2,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0 2,0,0,0,0,0,1,1,0,1,0,0,1,2,2,1,0,0,1,0,0,0,0,1,2,1,1,1,0,2,1,0,0,1,1,0,1,0,0,0,0,2,0,1,1,0,0,2,0,0,2,0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,1,1,0,2,2,1,0,0,1,0,0,0,0,0,2,1,0,0,0,1,0,0,0,1,0,1,2,0,0,1,1,2,2,2,0,0,0,0,0,2,0,2,0,1,1,1,1,1,0,1,0,0,0,0,0,1,2,1,2,1,0,1,1,0,0,0,2,0,1,1,0,1,0,0,2,2,0,0,1,0,2,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,2,0,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0,2,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,1,2,1,0,1,0,1,2,0,1,0,0,0,0,1,1,1,2,0,0,1,2,1,1,0,0,0,0,0,0,1,1,0,0,0,1,1,2,1,0,0,0,2,2,0,0,1,0,0,2,2,0,1,0,0,1,1,2,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,1,2,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,2,0,0,1,1,1,2,1,0,0,0,1,0,1,0,0,1,0,0,0,0,2,0,1,0,0,0,0,2,0,1,0,2,0,0,0,0,1,2,1,1,0,1,2,0,0,2,0,2,0,2,0,0,1,0,2,0,1,1,0,0,2,1,0,1,0,0,0,2,1,0,0,2,1,1,1,0,2,0,1,1,1,1,0,0,0,0,1,2,0,1,1,1,0,2,0,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,1,0,2,0,1,2,0,0,2,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,0,1,0,0,1,1,0,0,2,0,0,0,0,1,1,1,0,2,0,0,0,1,0,1,2,2,1,1,0,0,0,0,2,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,2,0,1,1,0,0,0,0,0,0,2,1,0,1,0,1,0,1,0,0,2,1,1,0,0,0,1,1,1,0,0,0,2,1,0,0,0,1,1,1,0,0,0,1,0,0,0,2,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,2,0,1,0,2,1,0,0,0,1,2,0,0,1,0,1,1,0,0,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0,1,1,0,2,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,2,0,0,1,1,1,1,1,0,0,0,1,0,1,0,0,1,2,0,0,0,0,0,1,1,1,2,0,0,0,0,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,2,1,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,2,0,0,2,0,0,0,2,1,0,2,1,0,0,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0,1,2,1,0,2,0,2,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,2,0,0,1,0,1,0,1,0,2,1,0,0,2,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,2,1,1,0,1,1,1,2,0,1,0,0,0,0,0,2,0,0,0,0,2,0,0,1,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0 1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,1,1,0,2,1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0,2,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,1,1,2,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,1,0,0,2,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,1,0,2,1,0,0,1,0,0,0,2,0,0,1,2,1,1,0,1,0,0,2,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,0,1,2,1,1,0,0,1,1,0,0,0,0,0,2,0,2,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,2,2,0,1,1,0,2,0,0,0,0,1,0,0,0,1,2,2,1,1,0,0,0,0,2,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,2,1,1,2,0,0,0,0,0,1,0,0,1,1,0,0,1,2,1,1,2,1,0,0,0,1,0,2,0,0,1,0,0,1,0,1,0,1,1,0,2,0,0,0,0,0,0,0,1,0,2,0,0,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0,1,0,2,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,2,1,1,1,0,0,0,2,2,1,2,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,1,1,1,0,0,1,0,2,0,1,1,0,1,0,0,0,1,0,1,0,0,2,0,1,0,0,1,1,0,0,1,1,1,1,0,0,0,2,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,2,0,0,1,1,0,0,0,0,2,0,0,0,2,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,1,2,2,0,1,2,1,0,1,1,1,0,1,0,1,1,0,1,1,0,1,0,2,0,0,1,0,1,0,1,2,0,2,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,2,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,2,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,2,2,0,1,2,0,1,0,0,0,0,1,1,0,2,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,1,1,0,2,1,0,0,1,2,0,0,1,0,1,2,0,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0,1,2,1,0,1,2,0,0,0,0,1,1,0,0,1,0,2,0,0,2,0,0,2,0,0,0,1,0,1,0,0,0,0,1,0,1,0,2,0,0,2,0,0,0,1,0,0,1,0,1,0,0,0,0,0,2,1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,2,0,0,1,0,1,0,1,1,1,1,1,0,0,0,2,0,0,0,0,1,0,0,1,2,1,1,0,1,0,1,0,1,1,2,1,0,1,0,0,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,1,1,2,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,2,1,1,0,0,0,0,0,1,2,0,2,0,0,0,0,0,1,0,0,0,0 0,0,1,2,1,0,0,1,0,2,0,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1,1,2,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0,2,0,1,1,0,0,1,1,1,1,1,0,2,2,0,2,0,1,0,1,0,0,0,1,0,0,2,0,0,1,1,0,2,0,0,0,0,0,0,0,2,0,0,1,0,2,1,0,0,0,2,0,1,0,1,1,1,0,0,0,0,0,0,0,2,1,0,0,0,0,1,1,0,0,1,1,1,0,1,0,2,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,1,0,1,0,1,0,1,1,1,0,2,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,1,1,1,0,0,2,1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,2,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,0,0,1,1,1,0,2,1,1,0,0,1,0,0,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,1,0,2,1,0,0,0,0,0,0,2,2,0,0,0,0,1,2,2,1,1,1,0,2,0,0,0,1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,1,1,2,0,0,2,1,0,0,0,1,2,2,0,0,0,1,0,1,0,1,1,1,1,2,0,0,1,1,0,0,1,1,2,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,2,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,2,0,0,1,0,0,0,1,2,0,0,1,0,0,0,0,1,1,0,2,1,1,1,2,2,1,1,0,0,0,0,0,1,2,1,0,1,2,0,1,0,1,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1,2,0,1,0,0,0,0,0,0,1,0,0,1,0,0,2,1,1,0,0,0,0,1,0,0,0,2,1,1,1,1,2,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,2,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,2,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,2,1,2,1,1,1,2,1,0,0,1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,2,1,0,2,0,1,1,0,2,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,2,0,0,0,1,0,1,0,0,0,2,0,0,0,0,2,2,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,2,2,0,0,0,0,0,1,2,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,2,0,0,0,1,1,1,1,2,1,1,2,0,0,1,0,2,0,0,2,0,0,0,0,1,0,0,2,0,0,2,2,0,0,2,1,0,0,0,1,0,0,2,1,1,1,2,1,1,0,1,0,1,2,0,2,1,2,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0,1,1,0,0,1,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,2,0,2,0,1,0,1,1,1,0,0,0,0,0,0,1,1,1,1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,2,0,2,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,2,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,2,2,1,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,1,1,1,0 1,0,1,1,0,0,0,0,2,1,0,1,2,0,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,1,1,1,0,0,2,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,2,0,0,2,0,2,1,0,0,0,0,0,0,0,0,1,1,1,0,0,2,1,0,0,0,1,0,1,0,1,0,0,0,0,2,1,2,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,1,1,2,1,0,1,0,2,0,2,0,1,1,0,1,1,0,0,0,0,0,2,0,2,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,2,1,0,0,0,0,0,0,1,1,2,1,1,1,0,0,1,2,0,0,0,0,2,0,2,0,1,0,0,0,0,2,0,0,1,0,0,0,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,2,0,0,1,0,1,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,2,1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,1,2,0,0,2,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,2,0,0,1,0,0,0,0,2,0,1,1,1,1,0,0,0,0,0,1,0,1,0,2,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,2,1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,0,1,0,0,0,1,0,0,1,1,2,1,1,0,0,0,0,1,0,0,1,1,2,1,1,0,1,0,1,0,0,0,1,0,0,0,1,2,1,1,1,0,0,0,1,2,1,0,1,0,1,0,0,0,0,0,0,1,0,1,1,2,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,2,1,0,1,0,0,1,0,1,1,1,0,1,0,1,1,2,0,1,0,1,0,2,1,2,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,1,0,1,1,1,1,1,0,0,1,2,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,2,1,0,1,0,1,0,0,0,2,0,0,0,1,0,0,0,2,1,1,0,0,0,0,0,0,2,1,0,1,0,1,1,0,2,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0,0,2,1,1,0,1,0,0,0,0,0,0,0,0,0,2,0,1,1,0,0,0,0,0,0,2,1,1,1,1,0,1,1,0,1,0,1,0,2,0,1,0,0,0,1,1,1,2,1,1,0,1,1,0,0,2,1,0,1,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,2,0,1,1,2,0,1,0,1,2,0,0,1,0,1,1,0,0,1,0,0,2,1,1,2,0,1,0,0,0,2,1,0,0,0,1,1,2,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,2,0,1,1,0,0,0,0,0,1,0,0,1,2,1,1,2,1,1,0,1,1,2,0,0,2,0,2,1,0,0,0,2,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,2,0,2,1,1,0,0,1,2,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,1,2,0,1,0,0,0,0,0,2,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,1,0,1,0,1,2,1,2,1,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0 0,0,1,2,1,0,0,0,0,2,1,0,0,2,0,1,0,0,1,0,0,1,0,0,1,0,0,2,0,1,1,0,0,0,1,0,0,0,0,1,1,1,0,2,0,1,0,0,1,1,2,0,0,0,0,0,1,0,2,1,0,0,0,1,0,0,0,1,1,0,0,0,1,2,2,2,1,2,0,0,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,2,0,1,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,1,2,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,2,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,2,1,0,0,1,1,0,0,0,1,1,0,1,0,2,1,0,0,0,0,1,0,0,2,1,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,2,0,1,0,1,1,1,0,0,0,1,0,2,0,0,0,0,2,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,2,0,1,0,0,0,0,1,0,1,1,0,0,1,1,1,2,0,1,2,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,1,0,0,1,0,0,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0,2,1,0,0,0,1,1,1,1,2,0,1,0,1,0,1,2,0,2,0,1,0,2,0,1,0,0,0,1,2,0,1,0,0,1,0,0,1,0,0,2,0,1,1,1,0,1,0,0,0,1,0,1,0,1,2,2,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,1,2,1,1,0,0,1,0,1,0,0,0,0,0,1,0,2,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,2,1,0,1,1,1,0,1,0,2,0,0,0,1,1,1,0,1,2,0,1,0,0,2,2,1,1,0,0,1,1,1,0,1,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,1,1,0,2,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,1,0,0,2,1,1,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,1,0,0,0,1,0,2,2,0,0,0,0,1,0,1,0,0,1,1,0,1,2,1,2,0,1,0,1,0,1,0,0,2,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,2,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,2,0,1,0,2,1,0,0,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,2,2,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,2,1,0,0,2,1,0,0,1,1,2,0,1,0,0,0,0,0,0,1,0,2,0,0,1,2,1,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0,2,0,0,1,0,1,2,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0,1,2,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0 0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,2,0,0,1,0,1,0,0,0,2,2,1,0,2,0,0,1,0,0,1,2,0,0,2,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,2,0,0,0,0,0,1,1,0,2,0,0,0,1,1,0,0,0,1,1,0,1,0,1,2,1,2,1,2,0,0,0,1,0,2,0,0,2,2,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,2,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,1,2,1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,2,1,0,2,2,1,0,0,0,1,1,1,1,2,0,0,0,0,0,1,0,1,0,1,0,1,2,0,0,0,1,0,1,1,1,1,2,0,0,1,0,2,0,0,0,0,0,1,0,1,1,0,0,2,0,0,1,0,1,0,0,1,0,0,2,2,1,1,0,1,0,1,2,1,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,2,1,1,0,2,1,0,0,0,0,1,0,2,0,0,0,1,2,1,2,1,1,2,0,1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,2,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,1,1,0,2,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0,1,1,1,1,1,1,0,1,1,1,2,1,1,0,0,0,0,1,1,1,0,0,1,1,0,0,1,0,2,0,0,0,0,0,1,0,1,0,0,0,2,0,0,1,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,1,0,2,1,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,1,2,0,0,1,0,0,1,0,1,0,1,0,2,2,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,1,2,1,1,1,0,1,0,1,1,1,2,0,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,1,0,1,0,1,0,2,1,0,0,2,0,0,1,0,1,0,0,1,2,1,0,0,2,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,2,0,1,0,2,0,1,0,1,0,2,0,1,0,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,1,2,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,1,1,0,2,1,0,2,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,1,1,0,2,1,1,0,1,0,0,0,0,0,2,1,0,1,1,0,1,1,1,0,0,0,1,1,2,0,0,0,0,0,0,0,2,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,2,0,0,0,2,0,0,0,1,0,0,0,2,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0,2,0,1,0,0,0,2,1,0,1,1,0,1,0,0,0,0,0,1,0,2,0,2,0,0,2,0,0,0,1,0,1,0,0,2,0,1,1,0,0,1,1,0,0,0,1,2,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,1,2,0,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0 1,0,0,1,0,2,0,0,0,1,1,0,0,2,1,0,0,1,0,0,0,0,0,0,2,1,0,1,0,1,2,0,2,1,1,0,0,0,1,0,2,2,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,1,2,2,0,1,1,1,0,0,0,0,0,0,2,0,2,1,1,0,0,0,0,0,1,1,0,0,2,0,0,2,0,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1,1,1,2,2,1,0,0,0,0,0,2,0,2,0,2,0,0,0,1,0,2,0,2,0,0,0,1,0,2,2,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,2,1,1,0,0,0,0,1,1,0,1,0,1,0,1,1,1,0,1,0,2,0,0,1,1,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,2,2,0,1,1,2,1,0,1,1,0,0,1,2,0,0,2,0,1,0,0,1,0,0,1,1,2,1,0,0,2,1,1,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,1,1,0,2,1,1,0,2,0,1,2,1,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,2,1,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,2,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,2,0,1,2,2,2,0,0,0,0,2,0,0,1,0,2,0,0,0,2,1,1,0,0,1,0,1,0,0,0,1,2,1,0,0,0,0,2,0,0,0,1,1,0,0,1,0,0,2,0,1,0,0,0,0,0,1,0,0,2,0,1,0,2,1,0,2,0,0,1,0,2,1,0,1,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,1,2,2,0,1,2,1,1,0,0,0,0,2,0,0,2,2,0,1,0,0,2,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,2,1,0,1,0,0,0,0,1,1,0,0,1,0,0,1,2,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,1,0,2,2,0,1,1,0,0,2,1,1,0,1,0,0,0,1,0,0,1,2,0,0,2,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,1,1,0,2,0,0,2,0,0,0,0,0,0,0,1,2,0,0,2,0,0,0,1,2,1,0,2,0,1,0,0,0,1,0,1,2,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,2,0,0,0,0,0,0,1,1,2,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,2,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1,1,2,0,0,0,1,0,2,0,0,0,0,0,2,1,1,1,2,1,1,1,1,1,1,1,0,0,0,1,2,0,1,2,1,0,1,0,2,0,0,0,1,1,0,0,1,1,0,0,2,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,2,2,1,0,2,1,0,1,0,1,1,2,2,2,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,2,0,0,0,0,2,0,0,2,1,1,0,0,2,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,2,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,2,1,0,0,0,0,2,1,1,1,1,1,0,2,1,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,1,1,1,0,1,2,0,0,0,0,0,1,1,0,1,1,1,0,1,0,0,0,1,0,1,1,2,0,0,0,0,0,0,1,1,1,0,1,1,0,2,1,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0 0,0,1,1,0,0,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0,1,1,1,0,1,1,0,1,2,0,1,0,0,0,1,0,1,0,1,1,0,2,2,0,0,1,0,1,1,0,1,0,1,1,2,0,1,1,0,0,0,1,0,1,0,1,1,1,1,2,1,0,0,1,1,1,0,0,0,1,0,2,1,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,2,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,2,2,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,2,0,2,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,2,0,0,1,0,2,0,2,0,0,1,1,0,0,0,1,1,1,2,1,0,0,0,0,0,0,1,1,2,2,0,1,2,1,0,1,0,2,0,0,0,0,1,1,1,0,0,1,0,1,0,1,2,0,1,1,1,0,2,1,0,1,1,0,1,0,0,2,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,2,1,0,1,0,0,2,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,2,0,0,0,1,0,1,2,0,1,0,0,0,0,1,1,0,0,2,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,2,1,1,0,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,1,2,0,1,0,0,1,1,0,1,1,0,0,1,0,2,0,1,0,1,0,0,0,2,0,1,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,2,0,1,1,1,0,0,0,2,1,0,0,0,0,0,2,0,1,1,1,2,2,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,2,0,1,0,1,1,0,1,1,0,2,2,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,2,0,1,1,0,0,0,0,1,0,1,0,0,1,1,0,0,0,1,0,1,1,2,0,1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,2,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,1,1,1,2,0,1,0,0,0,1,0,2,1,0,0,0,0,0,1,0,0,2,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,2,1,0,0,1,1,0,2,0,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,1,1,1,0,0,1,1,2,0,1,2,2,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,2,0,0,0,1,1,1,1,1,0,0,1,1,1,1,0,0,2,0,0,0,1,2,1,0,0,0,1,0,0,2,0,0,0,1,0,1,1,0,0,1,0,0,0,1,1,2,1,0,0,0,0,2,0,0,0,1,2,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,1,2,0,1,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,2,1,1,0,0,0,0,0,1,2,1,0,0,1,2,2,0,0,0,0,2,0,0,1,1,0,1,2,1,1,2,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,2,0,1,0,2,0,1,1,2,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0,1,0,1,1,1,1,0,1,0,2,1,0,1,2,2,0,1,1,0,1,0,0,0,1,0,0,0,0,2,0,2,1,2,2,1,1,0,1,1,1,0,1,0,1,2,0,0,0,1,2,1,1,1,1,1,0,0,2,0,0,1,0,0,0,1,1,0,0,1,0,0,2,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,0 0,0,2,1,1,0,2,0,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0,1,2,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,2,1,0,0,0,1,0,2,0,1,0,0,1,1,1,2,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,1,2,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,2,1,1,0,0,0,0,2,1,2,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,2,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,1,0,0,2,1,0,1,0,0,0,0,1,2,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,2,0,1,1,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,2,0,1,1,1,2,1,1,1,2,0,0,0,1,1,2,1,1,0,2,1,1,0,0,1,0,0,0,1,1,0,0,0,2,1,1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,1,1,2,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,1,1,0,0,1,2,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,1,0,1,0,2,0,1,0,0,0,0,1,0,0,1,1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,2,2,0,1,0,1,0,1,0,0,0,2,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,2,2,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,2,0,0,1,0,0,1,0,0,0,1,0,0,1,1,2,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,2,0,0,1,1,1,0,0,0,1,2,1,0,2,0,0,0,1,1,1,2,1,1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,0,0,1,0,1,2,2,0,1,1,0,1,0,2,0,2,0,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,2,0,0,0,2,1,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,1,1,1,1,0,0,0,0,0,0,2,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,2,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,2,1,0,1,2,0,1,2,1,1,0,1,2,1,0,0,0,1,0,0,0,0,0,2,1,1,0,2,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,0,0,2,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,2,1,0,1,0,0,0,0,1,1,1,1,1,0,2,1,0,1,0,1,0,2,2,1,0,0,0,1,0,0,1,0,1,0,0,0,0,2,0,2,1,1,0,0,0,2,0,1,0,2,1,0,0,1,0,0,1,2,2,1,0,0,0,0,1,0,1,0,0,0,1,1,1,1,1,0,0,2,1,0,2,1,1,0,0,0,1,0,0,0,2,1,0,0,0,1,1,0,0,0,1,0,0,1,0,1,2,1,1,0,2,0,1,2,0,1,1,0,0,1,2,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,2,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,2,0,0,1,1,2,1,1,1,2,0,0,1,0,0,1,1,1,2,0,0,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0,0,0,1,2,0,0,0 0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,2,0,1,0,0,0,0,0,0,2,2,1,2,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,2,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,2,0,1,1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,2,2,0,0,0,0,1,1,2,1,1,1,1,1,1,1,0,1,1,1,1,2,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,1,0,2,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,1,1,0,2,1,0,1,0,0,0,0,0,0,2,1,1,1,1,1,2,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,2,1,0,1,0,1,1,0,0,0,0,2,1,0,0,0,0,1,0,0,0,1,1,1,0,0,1,1,0,0,2,2,0,0,0,2,0,1,0,0,0,1,0,1,0,1,1,0,0,2,1,1,0,1,0,0,0,1,1,1,1,2,0,0,0,1,2,2,1,1,1,0,0,2,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,2,0,0,0,0,2,0,0,1,0,2,0,0,1,1,0,0,0,1,0,0,0,0,1,1,2,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,2,1,0,2,0,2,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,1,1,0,2,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,1,0,0,0,1,1,0,2,0,0,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,1,1,2,1,0,0,0,0,2,0,1,0,0,0,0,0,0,0,2,0,2,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,2,1,1,1,2,1,0,1,0,1,2,0,0,0,0,0,1,0,0,1,2,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,2,1,2,0,0,2,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,2,2,0,0,0,0,2,0,2,0,1,0,0,0,0,0,1,2,0,0,1,0,2,1,0,0,1,0,0,1,1,1,2,0,0,0,0,1,0,0,2,1,1,1,0,0,1,0,0,0,0,1,0,1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0,2,0,1,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,2,0,2,0,2,2,1,0,0,0,0,2,1,1,0,0,0,1,0,2,0,1,1,2,1,2,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,2,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,2,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,2,0,0,1,1,0,1,0,0,0,1,0,1,0,1,1,1,1,0,0,0,2,1,1,0,0,0,1,0,1,1,0,0,1,1,1,1,1,0,1,2,0,1,1,0,0,0,1,0,1,2,1,0,1,1,0,2,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,1,2,2,0,2,1,0,0,1,1,0,0,0,2,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,2,1,1,0,1,0,0,2,0,1,1,0,1,1,0,1,1,1,2,1,1,1,1,0,1,0,0,1,0,2,0,0,0,1,0,1,0,1,1,0 0,0,0,1,1,0,0,0,1,1,0,0,0,1,2,1,0,1,0,0,0,0,0,1,0,1,1,0,0,2,2,0,1,1,1,0,1,2,0,1,0,1,1,1,2,0,0,0,1,0,2,0,0,0,0,0,1,1,0,2,1,0,0,1,0,0,0,2,0,0,1,0,2,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,2,1,0,0,1,0,1,0,0,2,2,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,2,0,0,2,1,2,1,2,0,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,1,0,0,2,0,0,0,0,0,2,0,1,0,0,2,2,0,0,0,0,0,1,0,0,1,1,0,1,2,1,1,1,1,0,2,0,0,1,0,0,1,0,0,0,1,0,0,0,2,0,2,0,1,0,0,0,0,0,1,1,1,1,0,0,0,1,1,0,0,1,2,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,1,1,0,0,2,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,1,0,2,0,0,1,1,1,1,0,0,2,0,0,1,1,0,0,0,2,0,1,0,0,1,0,1,0,0,1,1,0,1,1,2,1,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,2,1,1,2,0,2,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,1,1,2,0,0,0,0,2,0,0,0,1,0,0,1,2,2,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,2,0,1,0,0,2,1,0,1,0,1,1,0,0,1,1,2,1,0,1,0,1,0,1,2,1,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,1,0,1,0,0,0,1,0,2,0,0,0,1,0,1,0,2,0,0,1,1,0,0,1,2,1,1,0,1,0,0,1,2,2,0,0,0,0,0,0,1,0,2,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,2,0,1,2,0,0,0,1,2,1,0,0,0,0,0,0,1,0,2,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,2,1,1,1,1,0,0,1,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,2,0,0,0,1,0,2,1,1,0,1,1,0,0,1,1,1,0,1,0,2,0,1,2,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,2,1,0,0,1,2,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,2,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,0,1,2,0,0,1,0,1,1,1,1,0,1,1,0,0,1,1,1,0,1,0,2,1,0,1,2,1,0,1,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,2,2,1,0,2,0,2,2,0,0,0,0,2,2,0,1,1,0,0,0,0,2,0,0,2,1,0,0,0,0,0,0,1,1,1,1,0,2,1,0,2,0,2,0,0,0,0,1,1,1,0,0,1,2,1,0,0,1,2,0,0,2,0,0,0,1,0,2,1,1,0,1,0,1,0,1,1,0,1,0,0,2,0,1,1,0,1,0,1,2,0,1,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,1,0,2,1,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,2,1,2,0,0,1,0,1,0,0,1,2,0,0,1,1,2,2,1,0,0,0,1,0,2,2,0,1,1,0,0,0,0,0,0,0,0,0 1,0,0,0,1,0,0,0,1,1,0,1,0,2,1,1,0,1,1,0,0,0,1,0,1,0,2,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,2,2,1,1,1,0,1,1,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,2,0,0,1,0,0,1,1,0,0,0,2,1,0,0,1,1,0,0,0,0,2,0,1,0,1,0,0,1,0,1,0,1,1,1,2,0,0,0,0,1,0,0,0,0,2,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,2,0,0,1,0,0,1,0,1,0,1,1,0,1,1,1,2,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,1,1,2,1,1,1,0,1,0,1,0,0,0,0,0,1,1,0,1,2,1,0,2,1,1,1,1,0,0,2,0,0,1,1,0,1,0,1,0,2,0,2,1,0,0,0,1,0,1,0,0,2,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,2,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,0,0,1,2,1,2,1,0,1,1,0,0,1,0,0,1,0,2,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,2,0,0,0,0,0,2,0,2,0,0,0,2,1,0,1,1,2,1,1,0,0,0,1,1,2,1,1,1,1,0,0,0,0,0,1,2,0,1,0,0,1,0,1,0,1,0,1,1,1,1,0,1,2,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,2,0,2,0,0,0,1,0,1,2,1,1,1,1,0,1,1,0,1,2,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,2,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,1,2,0,1,1,1,0,1,2,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,2,0,2,1,0,0,0,2,0,0,0,2,0,1,1,1,1,1,1,0,1,0,0,1,0,0,0,2,0,1,0,1,0,0,0,0,1,2,0,1,1,0,0,2,0,0,1,2,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,2,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,2,0,1,1,1,1,0,2,0,0,0,1,0,2,0,0,1,2,0,1,0,2,0,0,1,0,1,1,0,0,1,0,0,0,0,1,2,1,1,0,0,2,0,0,0,2,1,1,0,2,0,0,1,1,0,0,0,0,2,1,1,1,0,0,1,0,0,0,0,0,1,1,1,1,0,2,1,0,1,0,2,0,0,2,1,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,2,0,0,1,1,0,2,0,1,2,2,0,0,0,1,0,1,0,0,1,2,0,0,2,1,0,0,0,0,0,0,0,0,0,1,1,0,1,2,0,1,1,1,2,0,0,2,1,0,0,0,0,2,2,0,0,1,1,0,0,0,1,0,0,1,0,1,0,2,1,0,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,0,0,0,0,1,0,1,0,0,0,1,0,2,0,0,1,1,0,0,1,0,0,1,0,2,0,0,1,0,0,0,0,0,1,0,1,0,0,2,0,1,1,0,1,2,0,0,1,0,0,0,0,1,1,0,1,1,1,1,0 0,1,1,2,0,0,0,2,0,1,2,1,0,2,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,2,0,0,0,2,1,1,1,1,1,1,2,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,2,0,1,0,0,0,1,2,0,0,0,0,0,1,1,0,2,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0,1,2,0,1,0,0,1,0,1,0,2,0,1,0,1,0,0,1,2,0,0,0,0,1,0,1,0,0,1,0,1,0,1,1,0,2,1,2,0,0,2,0,1,2,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,1,1,1,1,0,1,0,1,1,0,2,0,0,1,0,1,0,1,1,0,2,2,1,2,0,0,0,0,2,0,2,0,1,0,1,0,0,0,1,1,1,0,2,0,1,2,0,1,0,0,0,0,0,0,1,0,1,2,0,1,1,0,1,0,0,0,1,1,1,2,0,1,2,0,0,0,1,1,0,0,2,0,2,0,0,0,0,0,0,0,1,1,0,1,1,1,1,0,0,2,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,2,1,0,1,0,0,0,0,0,1,0,1,0,1,1,1,1,1,2,1,1,0,1,1,0,0,1,0,1,1,0,2,1,2,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,2,0,1,0,0,0,1,2,1,2,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,2,0,1,0,1,1,0,1,2,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,1,1,2,1,1,0,0,1,0,0,0,2,2,0,0,0,0,0,0,0,0,1,0,0,2,0,1,0,1,0,0,2,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,2,0,0,0,2,1,0,1,1,0,0,0,0,1,1,0,1,0,0,2,1,0,0,0,1,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,2,0,0,2,0,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,2,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0,1,1,0,2,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,2,0,0,1,0,0,0,0,0,2,0,0,1,1,0,0,0,1,1,1,0,0,2,1,0,1,2,1,0,0,0,0,1,1,1,0,0,0,0,0,1,2,1,0,1,2,0,0,1,0,2,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,1,0,2,1,0,0,0,1,0,1,0,0,1,0,2,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,1,2,0,0,0,0,0,1,1,1,1,0,1,1,0,0,0,0,1,0,1,2,1,1,0,0,0,0,0,0,1,1,1,2,0,0,1,0,2,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,2,1,2,1,2,0,1,0,0,0,0,0,0,0,1,0,1,1,2,0,1,0,1,1,0,0,1,0,0,0,0,1,0,2,0,0,1,0,0,0,0,1,0,2,1,1,0,0,0,2,1,1,0,0,1,2,1,0,1,1,2,0,1,1,0,1,0,0,1,0,2,0,2,0,2,1,0,0,0,0,0,0,0,2,1,1,0,0,0,1,2,1,0,1,0,0,2,0,1,1,1,0,1,0,0,0,2,0,1,1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,2,0,1,2,2,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,2,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0 1,0,1,2,1,0,0,2,0,0,2,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,2,1,0,0,1,0,2,0,0,0,1,0,0,0,2,2,0,0,1,0,0,1,1,1,0,2,1,0,0,2,1,1,1,1,0,0,0,0,0,0,0,2,0,0,0,1,2,1,0,0,0,1,2,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,0,2,0,0,0,0,1,1,2,0,0,0,0,1,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,2,1,0,1,0,2,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,2,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,1,1,1,1,0,1,0,2,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,1,1,1,1,1,2,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,2,0,0,1,0,0,0,0,2,0,0,0,1,2,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,2,1,0,2,2,2,1,0,0,0,0,0,1,2,2,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,2,1,0,1,0,0,1,0,2,1,2,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,1,2,1,0,0,0,0,0,0,2,1,0,1,1,1,2,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,2,0,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,1,2,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,0,1,0,0,2,0,0,2,1,0,0,2,1,1,1,0,0,1,1,2,2,0,0,2,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,2,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0,1,2,2,0,0,0,1,0,1,0,1,0,0,0,0,1,0,2,1,0,0,1,0,2,1,1,1,0,0,1,0,2,0,0,0,1,1,0,0,2,0,0,0,1,0,0,2,0,2,0,0,0,1,0,0,0,0,2,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,2,0,1,0,1,0,1,0,2,0,0,1,1,2,0,1,0,0,1,0,0,2,0,0,0,0,1,2,1,1,0,0,2,0,1,1,0,1,1,0,0,0,0,1,0,0,0,1,1,2,1,1,0,0,1,1,0,0,0,0,0,0,1,0,0,2,1,0,2,2,0,1,0,0,2,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0,1,1,1,0,1,1,0,0,1,1,1,0,1,0,2,0,1,1,0,0,1,0,0,0,1,0,2,1,0,0,0,2,0,0,1,0,2,1,2,0,0,1,1,2,0,1,0,0,1,2,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,2,0,1,0,2,1,2,2,0,1,0,2,0,0,0,1,1,0,0,0,0,1,0,0,0,0,2,1,1,0,1,1,0,1,1,2,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,1,0,2,0,1,1,0 0,0,0,0,0,0,1,0,0,1,1,1,0,2,2,0,1,1,1,0,0,1,1,0,2,2,1,0,1,1,1,0,2,2,1,0,1,0,1,1,0,1,0,2,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,2,0,0,0,1,0,0,1,0,2,1,1,2,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,2,0,2,1,2,1,1,0,0,0,1,1,0,1,0,1,1,0,2,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,2,0,1,0,0,0,0,0,0,0,2,0,1,0,0,1,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,2,1,1,0,0,1,1,0,2,1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,1,0,0,1,0,2,2,0,0,2,1,0,0,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0,2,0,0,0,1,1,0,0,1,0,0,0,2,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,2,1,1,0,1,0,0,1,0,1,1,2,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,1,1,0,0,1,0,0,2,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,2,0,0,0,1,0,2,0,0,1,0,0,0,0,0,1,2,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,1,2,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,2,0,0,0,0,0,2,0,2,1,1,0,1,0,0,2,0,1,0,1,0,1,0,0,0,1,2,0,0,1,1,1,1,0,0,1,1,2,0,1,0,0,0,0,0,0,2,1,0,2,0,1,0,0,0,1,1,0,1,0,1,0,2,0,2,1,2,0,0,1,0,2,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,1,1,2,1,1,1,0,0,1,0,2,2,2,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0,1,2,0,0,0,1,0,1,0,0,0,0,0,2,1,0,0,2,0,0,1,1,0,1,0,2,0,0,1,1,1,0,0,1,0,1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,2,0,0,0,1,1,0,1,2,0,1,1,0,1,0,0,1,0,0,0,1,1,2,0,0,0,0,2,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0,2,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,2,1,1,0,0,0,1,0,2,1,0,2,0,1,0,2,0,1,0,2,0,1,0,1,0,0,1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,2,1,0,0,1,0,1,0,1,0,0,1,1,1,0,2,0,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,1,2,0,2,0,1,0,1,0,0,1,1,0,2,0,1,1,0,2,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,2,0,0,2,0,0,1,0,2,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,2,2,1,1,1,1,0,0,0,0,1,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,2,0,0,1,0,0,0,0,0,2,0,0,0,1,1,0,1,1,1,1,0,0,1,0,0,2,1,1,0,0,0,0,1,0,1,0,2,0,0 0,0,0,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,2,1,1,0,1,0,2,0,1,0,2,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,1,0,0,0,0,2,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0,2,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,2,1,1,0,0,1,0,1,0,0,0,1,0,1,0,1,1,2,0,0,0,0,1,0,2,0,1,1,1,0,0,0,1,1,0,0,2,0,0,1,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,2,0,0,0,0,0,1,1,1,0,2,1,0,1,0,0,1,0,0,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,1,1,1,1,2,0,1,2,1,0,1,0,0,0,2,1,2,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,2,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,2,0,0,0,1,0,0,1,1,0,1,0,1,0,0,2,1,2,0,0,0,2,0,1,0,1,0,1,0,2,0,0,0,1,1,1,1,0,0,0,1,1,1,1,0,1,0,0,2,1,0,0,1,0,1,1,0,0,0,0,1,1,1,1,0,2,1,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,2,0,0,1,1,0,1,1,0,0,1,1,2,0,1,1,1,0,2,0,0,2,0,0,0,2,0,0,0,1,2,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,2,1,0,1,0,2,0,1,0,0,0,1,1,0,1,1,1,1,0,0,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,1,0,2,1,1,0,0,0,0,2,1,0,1,2,0,1,0,1,0,1,0,1,2,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,2,0,2,0,1,0,1,2,0,1,0,1,0,1,0,0,0,2,1,0,1,1,0,0,1,0,2,1,1,1,2,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,1,0,2,0,0,1,0,2,2,0,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,2,1,2,0,1,0,0,0,0,1,0,0,1,1,0,0,1,1,2,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0,2,0,0,2,0,0,0,1,0,0,0,1,1,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,2,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,1,0,2,0,2,0,1,1,1,2,1,1,0,0,2,0,1,1,2,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,2,0,0,1,1,0,0,0,2,0,1,1,0,1,0,1,0,1,0,0,0,0,1,0,2,0,1,1,2,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,0,1,1,1,1,1,1,2,2,0,0,1,1,0,0,1,0,2,2,0,1,1,0,1,2,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,2,2,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,1,1,2,1,2,0,0,0,0,1,0,1,2,1,0,1,0,0,2,0,0,1,0,1,0,0,1,0,0,2,1,0,1,1,0,0,1,2,2,2,0,0,1,0,2,1,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,2,2,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0 1,0,2,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,1,0,2,2,0,0,0,1,1,0,1,0,1,2,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,2,0,0,0,0,1,2,1,0,1,0,0,0,2,2,1,1,0,0,0,0,0,0,1,0,1,0,0,1,1,1,1,2,0,0,0,0,0,0,2,0,0,0,0,1,2,0,0,2,0,2,1,1,0,0,0,2,0,1,0,0,1,1,0,0,0,0,0,0,2,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,2,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,2,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,2,1,0,0,1,2,1,1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,2,2,1,0,1,1,0,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,2,1,2,1,1,1,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,1,0,0,2,1,0,1,1,0,0,0,2,2,2,1,2,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,1,2,0,0,0,0,1,0,1,1,2,0,0,0,0,2,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,2,1,0,1,0,2,1,2,0,2,0,0,0,1,1,0,0,1,0,1,0,0,2,2,1,0,0,1,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,0,0,1,2,2,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,2,0,0,1,2,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,1,2,1,0,0,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,1,2,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,2,0,1,0,1,0,0,0,0,0,2,2,1,0,0,1,0,1,1,0,0,0,2,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,2,0,1,2,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,1,0,2,2,1,0,1,0,0,0,2,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,2,0,0,1,0,2,0,0,0,0,1,0,2,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,2,2,0,0,1,0,1,0,0,0,0,1,0,2,0,1,0,0,2,2,0,0,0,1,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,2,0,1,1,0,1,0,0,0,0,0,2,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0,0,2,0,2,0,0,0,1,0,1,0,2,1,1,1,0,0,0,0,0,1,0,1,2,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,2,1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,2,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,1,0,2,0,0,1,0,0,1,1,1,0,0,1,1,1,0,1,2,0,1,0,1,1,0,1,0,0,0,0,0,2,1,0,1,0,0,0 1,0,1,1,0,0,1,1,0,1,1,0,2,1,1,1,0,1,0,0,0,0,2,1,0,1,1,2,0,1,2,0,1,0,0,0,2,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0,2,0,2,0,0,0,0,1,0,0,0,1,1,0,1,0,1,2,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,1,1,0,1,2,2,0,0,1,0,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,2,0,1,1,1,1,2,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,2,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,2,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,1,2,1,0,1,1,1,2,1,0,0,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,2,1,0,0,1,0,1,1,1,0,0,1,0,2,1,1,0,1,0,0,1,1,1,1,0,0,2,1,0,0,0,1,2,0,0,1,0,0,2,1,0,0,0,2,0,2,1,0,1,0,0,0,0,1,1,0,0,0,2,0,0,0,0,1,0,1,0,1,0,1,0,1,1,1,1,1,1,1,2,0,0,0,0,0,0,0,1,0,1,0,0,2,0,2,1,0,2,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,2,1,0,0,1,0,0,0,1,0,0,0,2,2,0,0,0,0,1,0,0,0,1,2,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,2,1,1,0,0,0,1,1,1,1,2,1,1,1,1,1,1,0,0,0,1,0,1,0,2,0,0,1,1,0,2,0,1,1,0,0,0,0,0,0,2,0,1,2,0,2,2,0,1,0,1,0,0,0,2,1,2,0,0,2,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,2,0,1,0,1,0,0,0,0,0,2,0,1,1,2,0,1,0,2,1,1,0,1,0,1,0,0,0,1,1,1,1,2,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,2,0,1,0,1,1,0,0,1,0,0,1,1,1,1,0,2,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,2,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,1,2,1,1,0,1,0,0,0,0,1,2,0,0,0,1,1,0,2,1,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,1,2,1,0,1,1,1,0,0,0,1,0,0,2,0,1,1,0,0,2,2,0,2,1,0,0,0,1,0,2,0,1,0,0,0,2,2,1,0,1,0,0,1,2,1,1,1,2,1,1,0,2,0,0,0,0,1,1,0,1,2,0,2,1,1,2,0,1,1,1,0,0,2,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,0,2,0,1,1,0,0,1,0,1,1,0,1,0,2,2,0,0,0,1,0,1,0,0,0,1,1,2,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,2,1,0,1,0,1,0,1,1,0,0,0,2,0,0,0,0,1,1,1,2,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,2,2,1,0,1,0,0,0,0,0,1,1,0,1,0,2,0,0,1,0,0,1,0,0,0,2,1,0,2,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,2,2,1,0,0,0,0,1,0,1,2,1,0,0,2,1,0,0,0,2,1,0,0,2,0,1,2,0,1,0,0,0,0,0,0,0,0,1,2,1,1,0,2,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,2,1,0,1,0,0,1,0,0,1,0,1,2,0,0,0,1,2,1,1,0,2,0,1,0,0,1,1,1,0,0,0,0,0,1,0,1,1,0 1,0,1,2,0,0,0,1,0,1,0,0,1,2,1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,2,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,0,2,1,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,2,0,1,0,0,0,1,0,2,2,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,2,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,2,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,2,1,1,1,2,0,2,1,2,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,1,1,0,1,0,0,1,0,0,0,2,0,1,2,1,0,0,1,0,1,0,2,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,2,1,1,2,0,2,1,1,0,2,0,1,2,1,0,2,0,0,2,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,2,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,2,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,2,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,2,0,2,1,0,0,1,0,2,2,1,1,1,2,1,1,1,0,2,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,2,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,2,2,0,2,0,0,0,1,0,1,0,1,1,1,0,1,2,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,2,2,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,2,1,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0,2,0,2,1,2,0,1,2,0,0,1,0,1,1,1,0,0,1,0,0,2,1,1,1,1,0,0,0,1,1,1,2,0,0,0,2,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,1,0,1,0,2,1,0,1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,2,1,2,0,1,0,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,1,2,2,1,0,0,2,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0,1,0,1,1,1,1,0,1,1,2,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,1,0,1,2,0,0,1,0,1,1,2,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0,0,1,1,2,1,1,1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,2,1,0,1,1,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,1,0,2,1,0,0,1,0,0,1,2,1,0,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,2,2,0,2,0,0,0,0,2,0,0,2,0,0,2,2,0,0,1,2,0,0,0,2,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,1,0,0,2,1,0,1,0,0,1,0,0,0,1,2,0,1,0,0,1,0,1,1,1,0,0,0,1,0,2,0,2,1,0,0,2,1,1,1,2,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0 0,0,2,0,0,0,0,1,0,1,0,2,1,1,0,0,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,0,1,0,1,0,0,2,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,2,0,2,1,0,2,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0,1,2,0,0,2,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,2,0,2,2,2,0,1,0,0,0,0,0,0,2,0,1,1,0,2,0,0,1,1,1,0,2,0,1,2,1,1,0,0,0,0,2,0,0,0,2,1,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,2,1,0,0,0,0,0,1,0,2,1,0,0,0,0,0,0,1,0,2,2,1,1,1,1,0,1,0,2,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,2,2,1,1,0,0,0,0,0,0,2,1,1,1,0,0,0,0,0,1,1,0,1,0,0,2,1,2,1,0,0,0,1,0,0,1,0,1,0,1,1,2,1,0,1,1,2,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,0,0,1,1,2,0,1,1,0,0,0,1,0,0,1,0,0,1,2,1,0,1,1,0,1,2,0,0,0,0,1,1,1,1,1,0,0,0,0,1,0,0,2,1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,2,2,0,0,2,0,1,1,1,0,0,0,0,1,1,0,1,1,0,0,1,0,2,0,0,0,1,0,0,0,1,0,0,1,1,2,1,1,0,1,0,0,1,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,2,0,0,0,0,1,1,1,0,0,2,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,2,1,0,0,0,2,1,1,1,1,0,1,0,0,0,2,0,0,0,1,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,1,1,1,0,0,0,2,1,1,0,0,0,0,1,1,2,0,0,2,0,0,0,0,0,1,0,0,2,0,1,1,0,1,1,1,1,2,0,1,1,0,1,1,0,0,2,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,2,0,0,1,1,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,2,0,0,0,1,0,0,1,1,0,1,0,0,0,2,1,2,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,1,2,1,0,0,0,0,1,1,2,0,0,0,0,1,0,0,1,1,1,2,0,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,2,1,1,0,0,1,1,2,0,1,1,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,2,0,0,1,0,1,0,0,0,1,1,2,2,0,1,0,0,2,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,2,0,0,0,1,0,1,1,1,0,1,2,0,0,0,0,0,1,0,0,1,1,2,0,0,0,1,0,0,0,2,0,0,1,0,1,2,1,0,0,0,0,0,0,1,0,1,0,0,0,2,2,1,0,0,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,0,2,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,0,2,0,0,1,0,1,1,0,0,2,1,1,0,1,0,2,1,0,0,0,1,1,0,1,1,0,0,0,0,2,0,0,0,0,0,0 1,0,0,1,2,0,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,2,1,1,0,0,1,1,0,0,0,2,0,0,1,2,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,1,2,0,0,2,0,0,1,1,0,0,2,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,2,0,1,2,2,0,0,2,1,0,0,0,2,0,1,0,1,2,1,0,1,0,1,0,0,0,2,0,1,1,1,0,1,1,0,2,1,2,0,0,0,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,2,0,2,0,1,1,0,1,1,0,0,1,2,0,0,1,0,1,0,1,1,0,0,2,0,1,0,0,0,0,0,0,2,0,2,1,2,1,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,1,2,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,2,1,0,2,0,0,0,1,1,0,1,0,1,0,0,1,0,0,1,0,0,2,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,2,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,1,1,2,2,0,1,0,0,1,0,0,0,1,1,2,1,2,0,1,0,0,0,2,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,2,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,2,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,2,0,0,0,0,1,0,1,0,2,1,2,1,1,1,0,0,2,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,2,1,2,0,1,0,2,1,0,0,1,0,1,1,1,0,2,0,1,0,1,1,0,2,0,1,0,1,0,1,0,1,0,0,2,1,0,1,0,0,0,0,0,0,1,0,0,1,2,0,0,1,0,1,0,0,0,1,0,1,0,0,0,2,0,0,0,1,1,1,0,0,0,1,2,2,1,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,2,0,2,0,1,0,1,1,0,2,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,2,0,0,1,0,0,2,2,0,1,0,0,1,0,1,0,1,1,2,0,0,2,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,2,1,0,0,0,0,0,2,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,2,0,2,1,0,1,1,0,2,0,2,0,0,0,0,0,1,2,0,1,0,0,0,1,2,0,1,0,1,1,0,0,0,0,0,2,0,0,0,0,0,0,2,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,2,1,0,0,0,2,0,1,0,0,0,1,0,0,0,1,0,1,1,2,1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,1,0,1,2,0,1,0,0,0,0,0,0,2,2,2,1,1,2,1,1,2,1,0,0,0,0,0,1,0,2,0,1,0,0,0,1,0,1,0,2,0,0,0,1,0,1,0,1,0,2,0,0,0,0,1,0,0,2,0,0,0,0,0,2,1,0,2,1,1,1,0,1,1,0,0,2,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,2,1,0,1,0,0,2,1,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,2,2,1,0,0,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,2,0,1,0,0,0,0,1,2,0,0,1,0,0,0,1,2,2,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0 0,0,1,1,2,0,0,0,1,2,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0,2,0,0,0,2,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,2,2,0,1,0,0,0,0,0,0,2,0,1,1,0,2,1,1,0,0,1,2,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,1,2,0,0,0,0,0,0,1,0,1,1,0,1,0,1,2,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,2,0,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,2,2,0,2,0,0,0,0,0,0,0,0,0,0,0,2,1,1,2,1,0,1,1,1,0,1,2,1,1,0,1,1,1,0,0,0,0,2,2,1,2,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,1,1,0,0,1,0,2,1,1,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,2,0,0,0,1,0,0,1,0,0,1,1,2,0,0,1,0,2,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,2,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,2,1,1,1,0,1,0,2,1,0,2,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,1,2,1,1,2,0,0,0,1,0,1,1,0,0,0,1,1,1,0,2,0,1,0,1,0,1,0,0,1,0,2,1,0,0,2,1,1,0,1,0,0,0,0,0,1,1,1,0,1,0,1,0,2,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,1,1,0,1,0,2,2,0,1,0,0,0,0,1,2,1,0,0,0,0,1,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,1,1,2,1,1,1,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,2,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,2,1,2,0,1,1,0,1,0,0,1,2,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,2,1,1,0,0,0,1,0,0,1,1,1,0,1,1,2,1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,1,1,0,2,1,1,0,0,0,1,0,1,0,0,0,1,0,1,1,2,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,1,2,1,1,1,0,1,1,0,0,0,1,0,0,1,0,2,0,0,0,2,0,1,1,0,2,0,0,0,0,0,0,0,0,1,1,1,0,2,1,1,0,0,0,0,2,0,2,1,0,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0,2,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,2,0,0,0,1,0,2,0,1,0,1,1,0,1,1,1,1,0,1,1,2,2,0,0,0,0,1,1,0,0,0,0,0,2,0,2,0,0,2,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,2,0,1,1,0,0,1,0,0,0,1,0,1,1,1,1,0,0,2,0,2,0,1,0,1,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,2,1,0,1,1,0,0,2,0,1,0,0,1,1,0,0,0,2,1,0,0,0,2,0,0,0,0,2,1,0,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,1,2,1,2,0,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0 2,1,2,2,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,1,2,1,1,0,0,1,0,1,1,0,0,2,0,1,1,1,2,0,1,1,0,0,2,1,0,2,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,2,0,0,1,1,2,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,2,2,1,1,0,1,0,2,0,2,1,1,1,0,0,0,0,0,0,1,0,1,1,2,1,2,0,0,0,0,0,0,0,1,0,1,2,2,1,0,0,1,0,0,0,0,2,2,0,1,1,0,0,0,1,0,0,0,2,0,0,1,0,0,1,1,2,0,1,0,1,1,0,1,0,0,0,0,1,0,1,2,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,2,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0,2,1,0,1,1,0,2,0,0,1,0,1,0,1,0,1,0,0,1,0,0,0,2,1,2,0,1,0,0,0,0,2,0,0,0,0,0,1,0,1,0,1,2,1,2,0,0,0,0,2,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,2,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,2,0,0,0,1,1,0,1,2,1,0,2,0,0,1,0,0,2,1,1,1,2,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,2,1,1,0,1,0,1,2,0,1,1,0,0,1,1,1,1,2,0,0,0,1,1,1,0,0,0,0,1,1,0,2,0,1,0,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,2,0,0,0,1,0,2,0,2,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,0,0,0,0,1,2,0,0,2,1,0,0,2,1,1,0,1,0,0,0,0,1,1,0,1,0,0,2,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,1,0,2,2,1,0,1,0,0,1,2,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,2,1,0,0,1,0,1,1,2,0,2,0,0,1,1,0,0,1,0,2,0,1,0,2,0,1,2,2,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,2,1,1,0,0,1,0,0,1,0,0,0,2,2,0,0,1,0,0,0,1,0,1,1,0,1,2,1,0,0,0,0,0,1,1,0,0,0,0,1,1,2,0,2,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,0,2,2,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,2,0,2,0,1,0,0,0,0,0,0,0,1,1,1,1,0,2,1,0,0,1,1,2,0,1,1,1,0,1,0,2,0,1,1,0,1,0,0,1,1,2,0,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,2,1,1,2,0,1,1,0,0,0,0,0,2,1,2,1,1,2,1,0,0,0,0,0,1,1,2,0,1,0,0,0,1,2,0,0,0,1,0,2,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,2,0,1,1,0,0,0,0,0,2,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,1,1,0,0,1,1,1,2,0,1,1,0,2,1,0,1,0,0,1,0,1,0,0,2,1,1,1,0,1,0,0,0,0,0,1,1,0,2,1,1,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,1,2,0,0,2,0,0,0,0,2,0,0,0,2,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0 1,0,0,1,1,0,1,1,1,1,2,0,1,2,1,1,0,1,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,2,0,2,2,0,0,1,0,1,0,0,0,0,1,0,1,0,1,2,0,0,0,0,0,0,0,0,0,1,2,0,0,2,0,1,2,1,0,0,0,0,0,1,0,1,0,0,2,0,2,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,2,1,2,2,0,0,0,0,1,1,0,1,1,0,1,1,0,0,1,2,1,1,0,2,1,2,0,1,1,0,1,2,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,1,2,0,0,0,1,2,1,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,2,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,0,2,0,1,0,1,1,1,1,2,1,0,0,0,0,1,1,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,2,0,1,0,0,1,0,0,2,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,1,1,0,0,2,0,0,1,1,0,0,1,0,0,2,0,0,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,1,0,1,0,0,1,0,2,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,1,1,1,1,1,2,1,1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,2,0,1,0,0,1,0,0,0,1,0,1,2,1,1,0,0,0,2,0,1,0,1,0,0,0,0,1,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,1,2,0,1,0,0,1,1,0,0,0,2,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,2,0,2,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,2,1,0,1,0,0,1,0,0,1,1,2,1,0,0,1,0,0,0,0,0,0,0,1,1,0,2,0,0,1,1,1,0,0,2,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0,1,2,0,0,2,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,2,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,0,2,2,0,0,1,2,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,2,0,2,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,2,1,0,0,1,1,2,0,1,1,1,1,0,0,1,1,2,2,2,1,0,0,1,0,1,0,0,0,2,0,1,0,0,0,2,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,1,2,0,0,0,1,0,2,0,0,0,0,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,1,2,0,2,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,2,0,0,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,2,0,0,2,0,1,1,1,0,2,1,1,1,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,1,2,0,0,0,0,0,1,1,2,0,0,0,0,0,0,1,1,2,2,0,0,0,0,1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,2,1,0,2,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,2,0,0,0,1,0,1,0,0,0,2,0,1,1,0,0,2,0,1,0,0,0,1,2,0,1,1,0,0,0,0,1,1,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0 1,0,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,2,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,2,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,2,0,1,2,1,0,1,2,0,0,2,0,0,0,0,0,2,0,1,0,0,1,0,1,2,0,0,1,0,1,0,0,0,1,2,1,1,1,0,0,1,0,0,1,0,0,0,1,2,0,0,1,0,0,1,2,0,0,0,1,1,1,0,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,2,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,2,0,0,0,0,2,0,0,0,1,1,0,0,0,0,1,0,2,0,2,0,0,1,1,0,1,1,1,1,1,2,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,1,2,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,2,2,0,0,2,1,2,0,0,2,1,0,1,2,0,1,1,0,0,0,1,2,1,0,1,0,0,0,1,2,0,1,1,0,0,1,1,0,1,1,0,0,0,1,2,2,0,0,1,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,2,1,1,0,0,2,0,2,0,0,0,0,1,1,2,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,1,1,0,1,1,0,1,2,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,1,1,0,2,0,0,2,1,0,0,0,0,1,1,0,0,1,0,0,1,1,2,1,0,1,0,0,1,2,0,1,0,2,1,0,1,0,0,1,0,1,0,0,1,0,1,0,2,0,0,0,1,1,2,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0,2,0,2,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,2,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,2,1,0,0,0,0,1,1,1,1,2,0,0,0,1,1,0,1,0,1,2,0,0,1,1,2,2,0,1,2,0,0,2,1,0,0,0,0,0,2,0,0,0,2,1,1,1,2,0,0,0,1,0,1,1,0,0,1,0,0,1,1,2,1,0,0,2,0,2,0,0,0,1,2,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,1,2,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,2,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0,2,1,1,0,0,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,2,2,0,1,1,0,1,1,1,1,1,2,1,1,1,0,0,1,2,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,2,1,2,0,0,1,1,1,0,2,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,2,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,1,1,0,2,0,0,1,0,0,1,0,0,0,2,1,2,0,1,1,1,0,0,1,0,0,1,0,1,2,2,0,0,1,0,1,0,0,2,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,1,0,1,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,1,1,2,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,2,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,2,0,0 0,0,1,0,1,1,0,1,2,0,0,1,1,2,1,2,0,1,1,0,0,0,1,1,1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,2,0,0,2,2,1,0,1,0,0,0,0,0,0,1,0,1,1,1,1,0,0,1,1,1,1,1,2,1,1,1,1,1,0,1,1,1,1,1,0,0,1,0,2,1,1,0,0,1,0,1,2,0,0,0,0,0,1,1,0,2,1,2,1,1,1,0,0,0,1,1,1,1,1,0,0,0,2,1,1,0,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,2,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,2,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,2,1,0,1,1,1,0,0,1,2,2,2,0,1,0,0,0,0,0,2,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,0,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,2,0,1,0,2,0,0,0,0,0,1,1,1,2,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,1,1,1,1,1,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,1,1,1,1,1,0,0,2,0,1,0,0,2,1,1,0,1,0,0,0,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,1,1,2,1,1,1,2,2,0,1,1,0,1,1,0,1,0,1,0,0,1,2,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,1,0,0,0,1,2,1,0,0,0,2,0,1,1,0,0,0,0,0,0,1,2,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,2,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,2,0,2,0,0,1,2,2,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,2,1,0,0,1,1,0,0,0,0,2,1,0,0,0,1,0,0,0,2,0,1,0,1,0,0,1,1,0,1,1,1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,2,1,0,2,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,1,1,2,0,1,1,0,0,0,0,0,0,1,1,2,0,0,2,0,1,0,1,1,0,0,2,0,1,2,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,2,1,0,0,0,0,1,1,0,0,1,2,0,1,2,0,0,1,0,0,0,1,0,0,0,1,0,0,2,1,0,0,0,0,0,1,0,0,1,0,1,0,0,2,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,2,0,1,0,1,0,0,0,1,0,0,0,2,0,1,1,0,1,0,0,0,2,0,0,1,0,1,1,1,2,0,1,1,0,0,0,0,1,1,0,0,2,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,1,1,0,1,2,1,0,1,0,0,1,1,0,0,1,1,1,1,0,1,2,0,1,1,0,0,0,0,1,0,2,0,0,1,1,2,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,1,0,2,1,0,0,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0,2,1,0,0,1,0,1,1,0,0,1,0,2,0,1,0,0,0,0,0,1,2,0,1,0,0,0,0,1,0,1,0,0,0,2,1,0,0,1,0,0,0,0,1,1,0,0,0,1,2,0,1,0,0,1,0,0,1,0,2,1,0,2,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,1,1,2,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0 1,0,2,0,1,0,0,1,0,1,2,0,0,2,0,1,0,0,1,0,0,1,0,0,1,1,1,2,0,0,0,0,1,1,0,0,2,2,0,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,2,0,0,1,2,0,2,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,2,0,0,1,1,1,0,1,0,0,0,0,2,1,1,0,1,0,2,1,1,0,0,1,1,0,1,0,2,0,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0,1,1,2,1,0,1,1,0,0,0,0,1,1,1,1,1,0,1,0,1,0,2,0,0,2,0,0,0,1,0,0,0,0,0,1,1,1,2,1,1,0,0,0,1,1,0,1,0,2,1,0,2,0,0,0,1,0,1,0,1,0,1,2,0,2,1,1,0,1,0,0,0,0,2,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,0,1,2,1,0,0,2,0,0,2,0,0,0,0,1,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,1,1,0,1,0,0,2,0,0,0,2,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0,2,0,2,0,0,0,0,1,1,2,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,2,2,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,0,1,2,0,1,0,0,0,1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0,1,2,0,1,2,1,1,1,0,0,0,2,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,1,2,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,2,1,0,0,0,1,0,1,0,0,1,0,1,0,0,1,1,0,0,2,2,1,1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,2,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,2,1,1,1,1,0,0,0,1,0,1,2,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,1,1,0,1,1,0,2,1,1,1,1,0,1,1,0,2,0,0,0,0,2,1,0,0,1,1,0,0,0,0,0,0,2,2,1,1,0,0,1,2,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,2,1,1,0,0,2,0,1,0,1,1,2,1,0,1,0,1,1,2,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,2,1,1,0,0,0,2,0,0,0,1,2,2,1,0,0,0,0,0,0,2,0,0,1,1,0,1,1,1,1,2,0,0,1,0,2,0,1,2,1,2,1,2,1,2,0,0,2,2,2,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,2,1,0,0,1,2,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,2,0,0,1,2,0,1,0,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,2,1,1,1,0,0,0,1,1,1,0,0,2,0,2,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,1,2,1,0,1,0,0,1,0,2,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0 0,0,0,1,2,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,1,1,1,0,2,1,0,0,1,0,0,2,1,1,0,1,2,0,0,0,1,0,0,0,1,0,1,1,0,0,2,1,0,1,0,2,1,2,1,0,0,1,1,0,0,0,0,0,0,0,1,0,2,1,0,0,1,2,1,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,2,0,1,1,1,0,0,0,1,1,1,1,1,0,2,0,0,1,1,1,0,2,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,2,0,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,1,1,1,1,1,1,0,2,1,0,2,0,1,0,2,1,2,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,2,1,2,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,2,0,0,0,0,1,1,2,0,1,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,2,0,0,1,0,2,0,1,0,1,1,0,2,1,0,0,0,0,0,1,1,1,0,0,1,0,1,1,0,1,0,1,0,2,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,1,1,2,2,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,1,2,0,1,1,1,0,0,1,0,0,0,1,2,0,0,1,0,0,1,0,2,0,0,2,0,0,2,0,0,0,2,1,1,2,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,1,2,0,0,0,0,0,1,1,1,0,1,1,0,0,1,2,0,1,1,0,0,0,0,2,0,0,1,1,0,1,1,0,0,0,0,0,0,2,1,0,0,0,2,2,0,1,1,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,2,1,0,1,1,0,0,1,0,0,1,2,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,2,1,0,1,2,0,1,0,0,2,0,1,0,0,1,1,0,0,2,0,1,1,2,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,1,0,1,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,2,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,2,0,1,0,2,0,0,1,0,2,1,0,2,1,1,1,1,0,0,0,2,1,0,1,2,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,2,0,0,0,0,1,0,0,1,1,1,1,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,2,1,0,0,1,0,0,1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,2,1,0,1,0,0,0,0,1,2,1,1,2,1,2,0,0,1,0,1,0,2,2,2,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,2,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,2,0,0,0,0,1,2,0,0,2,0,0,0,2,1,1,1,0,0,0,0,1,1,1,2,0,2,0,1,0,0,0,1,1,1,0,0,0,0,1,0,1,2,1,0,0,0,1,0,1,2,1,0,0,1,1,0,0,1,1,0,2,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,2,1,0,1,0,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,1,2,1,0,0,0,1,1,0,2,0,0,1,0,0,1,0,1,0,1,1,0 0,0,0,0,2,0,0,1,0,0,2,0,1,1,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,1,0,2,0,0,0,0,1,0,0,1,2,1,1,0,0,0,0,2,1,1,0,1,0,1,0,2,0,1,0,0,0,0,0,0,1,0,0,2,1,1,0,0,1,0,0,1,1,0,0,0,0,0,2,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,2,1,0,0,0,0,0,2,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,2,0,0,1,1,1,1,0,0,1,1,0,1,0,0,2,0,0,1,0,1,0,0,1,0,2,1,2,0,2,0,1,0,0,0,0,1,1,1,2,0,0,1,0,1,0,0,0,1,2,1,0,0,0,0,2,0,0,0,1,2,1,0,0,0,0,0,0,0,0,1,0,1,0,2,0,1,1,1,0,1,0,1,0,0,1,0,2,0,0,0,0,0,0,1,1,0,0,2,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0,2,0,1,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,2,0,0,1,0,0,0,0,1,1,1,1,1,2,1,1,1,2,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,2,1,0,0,1,1,0,0,1,2,2,0,0,0,2,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,2,0,1,2,0,2,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,1,2,2,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,2,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,1,2,0,2,1,0,0,1,2,0,0,1,1,0,0,0,0,1,2,1,1,1,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,2,1,1,0,1,0,0,0,0,0,0,0,2,0,2,0,1,0,1,0,0,2,1,0,2,1,0,0,0,2,0,0,2,0,0,0,1,1,0,0,0,0,0,2,0,1,1,0,1,0,1,2,0,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0,1,1,0,2,1,2,1,1,1,0,1,0,0,0,0,0,0,1,0,0,2,0,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,2,1,2,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0,1,1,1,0,1,0,2,0,0,2,1,0,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,2,0,1,0,2,0,0,1,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,2,0,0,1,0,1,0,0,0,2,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,0,1,1,1,2,0,1,1,1,0,0,0,0,1,1,1,0,2,0,1,0,0,0,1,0,0,1,2,1,0,2,2,0,1,0,1,0,0,0,0,2,1,0,0,0,2,1,0,0,1,0,0,0,1,1,0,0,0,2,0,1,0,0,0,0,2,0,1,0,0,1,1,0,0,0,0,0,0,2,0,2,1,1,1,0,2,1,0,1,2,1,0,1,1,0,2,0,0,0,2,0,2,0,0,0,0,1,0,0,2,2,0,0,0,0,0,1,2,0,2,1,0,1,1,2,1,0,2,1,0,0,0,1,1,0,0,0,0,0,2,0,0,1,1,0,0,2,0,0,0,0,1,0,2,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,2,0,1,1,0,2,0,1,2,0,1,2,0,0,0,0,2,2,1,2,0,0,1,0,1,2,2,0,0,0,0,0,0,0,2,0,0,0 1,1,0,1,1,0,1,1,1,2,1,1,0,0,1,2,0,0,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,2,1,1,0,1,2,0,2,1,0,0,0,1,1,1,0,0,0,2,1,1,1,1,1,0,0,1,0,0,2,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,2,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,2,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,1,2,0,1,1,1,2,1,0,2,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0,2,0,0,0,1,0,1,0,2,2,0,1,0,0,2,0,2,0,0,2,0,0,0,1,1,1,0,0,0,0,0,0,0,0,2,0,1,0,2,0,0,0,2,0,2,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,2,0,0,2,0,0,0,0,1,0,0,1,0,0,2,1,1,1,1,2,0,2,1,1,1,0,0,0,0,1,0,1,2,1,0,1,0,1,0,1,1,0,0,1,1,2,0,0,2,0,1,1,0,0,1,0,1,1,0,2,0,0,1,0,1,0,0,1,0,1,0,0,0,2,0,0,0,1,0,0,1,1,0,0,2,2,0,0,2,1,0,2,2,0,0,0,1,0,0,1,2,1,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,1,1,1,0,1,1,2,1,1,1,1,0,0,0,2,0,2,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,2,1,0,0,2,1,0,2,2,0,1,0,1,1,0,1,0,1,1,0,0,1,0,2,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,1,1,2,0,2,0,0,0,1,1,0,0,1,2,1,0,0,0,2,0,1,0,1,0,0,0,0,0,2,1,0,0,1,2,0,0,0,1,1,1,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,2,1,1,0,1,0,1,0,0,2,0,0,1,0,0,1,1,0,0,0,1,0,1,0,2,1,0,0,0,1,2,0,0,0,2,1,0,2,0,1,1,0,1,0,1,1,1,2,2,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,2,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,1,1,1,0,0,0,1,2,0,0,1,1,0,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,1,2,1,1,0,1,0,2,1,0,0,0,1,2,1,0,1,1,0,1,0,0,1,0,0,0,2,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0,2,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0,1,1,1,0,1,2,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,0,0,1,2,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,2,2,1,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,1,0,0,1,2,2,2,1,0,2,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,2,2,0,2,1,1,0,2,1,0,1,0,0,1,0,1,1,0,0,0,1,1,2,0,0,1,2,1,0,0,1,1,2,0,0,2,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,2,0,2,0,0,0,0,0,2,0,0,1,0,0,1,1,2,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,2,0,0 0,0,1,1,1,1,0,1,2,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,1,2,1,0,0,0,0,0,1,0,1,0,1,0,0,1,2,2,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,2,1,1,0,0,1,0,0,1,0,0,0,1,2,0,1,0,0,1,0,2,1,0,0,0,0,1,2,1,0,0,0,0,0,2,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,2,0,0,2,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,2,0,0,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,2,1,0,0,1,0,0,1,0,1,2,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,2,1,0,0,0,2,0,0,1,0,0,2,0,0,0,0,0,1,1,0,0,0,1,0,2,1,0,1,1,0,0,0,1,0,2,2,0,1,0,1,1,1,0,1,1,0,0,1,0,1,2,1,0,0,2,1,1,0,1,0,0,1,2,1,1,2,1,1,1,2,0,0,0,1,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,2,1,0,1,0,2,0,0,1,0,0,0,0,0,1,1,0,2,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,1,2,0,1,0,0,0,2,0,0,1,1,0,1,0,0,1,0,2,0,2,0,0,0,1,1,1,1,1,0,0,0,1,1,0,1,1,1,2,0,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,2,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,2,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,2,0,2,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,2,1,0,1,0,1,1,0,0,1,1,1,0,2,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,2,0,0,0,0,1,1,0,1,0,1,0,0,0,2,0,0,2,2,2,0,2,0,1,0,1,1,0,0,1,0,1,0,0,2,2,0,2,0,1,1,1,0,0,2,1,1,1,1,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,2,0,1,1,0,1,2,1,0,0,0,0,0,1,0,1,1,2,1,0,1,1,1,0,1,0,2,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,2,1,0,0,0,0,0,1,1,1,0,0,0,1,1,0,1,0,2,0,0,0,0,1,0,0,2,0,1,0,2,0,0,2,2,0,0,0,1,0,0,2,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,2,1,0,0,0,0,0,0,1,1,0,0,0,0,1,2,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,1,2,1,0,0,1,1,0,2,0,1,0,0,1,0,1,2,0,1,2,0,1,2,1,0,1,2,0,1,0,0,1,0,0,0,1,1,0,0,1,0,0,1,1,1,0 1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,2,0,2,0,0,0,0,0,1,0,2,0,1,0,2,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,1,2,0,1,1,0,0,0,0,0,0,2,0,0,1,0,0,1,0,2,1,0,1,0,0,0,1,0,1,0,1,2,0,0,0,0,0,1,1,0,1,0,2,0,0,0,0,0,0,2,2,2,2,0,0,1,1,1,1,2,0,1,1,2,0,1,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,2,0,0,1,0,2,1,2,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,2,1,0,1,0,2,0,1,0,1,1,0,0,0,2,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,2,0,0,1,0,0,1,1,1,0,1,0,0,0,2,0,0,0,0,1,0,0,1,1,2,0,0,1,1,0,2,2,1,1,0,1,0,0,0,0,1,1,0,0,0,2,0,1,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,2,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,2,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,2,0,1,1,0,1,1,1,0,1,0,0,0,1,2,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,1,0,1,1,1,1,0,1,1,0,1,0,2,0,1,0,0,0,0,0,1,0,2,0,0,1,0,0,1,2,0,0,0,1,2,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,2,0,1,1,0,0,0,0,1,0,0,1,2,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,2,0,0,1,2,2,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0,1,2,0,0,0,0,2,0,1,0,1,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,2,1,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,2,1,1,0,0,1,2,0,1,0,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,2,0,0,0,2,1,1,0,0,2,1,0,1,1,0,0,1,0,1,2,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,2,0,0,1,2,1,0,1,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,2,1,1,1,0,1,2,0,0,0,0,0,0,2,1,1,1,0,1,1,0,0,0,0,1,0,0,2,0,2,0,0,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,2,1,2,0,0,1,2,0,0,1,1,0,0,0,0,1,0,0,1,1,2,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,2,2,0,0,1,1,0,0,1,1,0,1,0,0,0,1,2,0,0,1,1,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,0,2,0,0,2,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,2,1,0,0,0,1,0,0,2,0,1,2,0,1,1,0,0,1,1,0,1,0,0,1,1,2,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0,0,1,1,2,0,0 1,0,2,1,0,0,0,0,0,1,2,1,0,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,2,1,0,0,0,0,2,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,2,0,0,0,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,2,0,1,0,1,1,1,1,1,0,2,0,0,0,1,0,2,1,1,0,2,0,0,1,0,0,0,2,2,1,0,2,0,2,1,0,1,0,0,1,0,1,0,1,1,0,0,0,2,2,2,0,1,0,1,2,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,2,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,2,1,1,0,2,0,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,2,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,2,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,1,1,1,0,1,0,0,1,1,2,2,0,1,2,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,1,0,1,1,0,2,0,1,0,1,2,0,0,0,1,2,1,0,1,0,1,0,0,0,0,0,0,1,0,2,1,0,2,0,0,1,0,1,0,0,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,2,0,1,1,1,0,1,2,1,0,0,0,2,1,0,0,2,0,0,1,0,0,1,2,0,0,0,0,0,1,1,2,0,0,1,0,0,2,1,1,1,2,0,0,0,0,0,0,1,0,0,2,0,1,0,1,0,0,1,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,1,0,2,1,0,2,0,0,2,1,2,0,0,1,1,0,1,1,2,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,2,0,0,2,1,2,0,1,2,0,0,2,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,1,0,2,0,0,1,0,0,1,0,0,1,1,0,1,1,1,1,0,0,0,1,1,2,2,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1,0,1,1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,2,2,0,1,1,1,1,0,0,0,2,1,1,1,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,2,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,1,1,2,1,1,1,1,0,1,0,0,0,0,0,0,2,0,1,0,1,1,0,0,1,0,1,0,0,0,0,2,1,0,0,1,2,0,0,0,1,0,0,1,0,2,0,0,0,0,0,1,1,1,0,0,1,2,0,1,1,0,1,1,0,1,0,1,1,1,1,2,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,0,2,0,0,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,2,1,2,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,1,1,0 0,0,0,0,1,0,0,0,1,0,1,0,0,2,1,1,1,1,1,0,0,0,1,1,2,0,0,1,0,0,0,0,2,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,1,2,1,2,0,0,1,0,0,0,1,0,1,2,0,0,1,1,0,1,0,1,0,0,0,1,1,1,0,2,1,1,1,0,2,0,0,0,1,1,2,0,1,0,1,0,0,0,1,0,1,1,0,2,0,0,1,1,2,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,2,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,1,1,2,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,2,0,0,0,1,2,0,2,0,0,0,1,0,0,2,1,2,0,2,1,0,1,0,0,1,2,2,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,2,1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,1,1,0,1,1,0,1,1,2,0,0,1,2,0,1,1,0,0,1,1,1,0,1,0,2,0,2,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,1,1,1,1,0,1,0,1,1,1,0,0,0,2,1,0,0,2,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,2,0,0,0,1,0,0,2,1,1,0,0,2,0,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,2,1,0,1,1,0,1,2,0,0,1,0,2,1,2,1,0,0,2,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0,2,1,2,1,0,0,2,2,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,2,0,1,0,1,2,2,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,1,2,1,0,0,1,1,1,0,0,0,1,1,1,0,2,1,0,0,1,0,0,2,0,2,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,2,1,0,0,1,2,0,1,0,0,1,0,1,0,0,0,0,1,0,0,2,1,1,0,0,1,0,0,1,0,1,2,2,0,1,0,0,2,1,1,0,0,0,0,0,2,0,0,0,1,0,1,1,1,0,1,1,1,2,0,2,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,2,1,1,1,1,0,0,0,2,0,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,1,0,2,1,0,0,1,0,0,1,1,1,0,0,0,1,1,2,0,0,0,1,0,0,0,1,0,0,1,1,0,1,2,1,1,0,1,0,1,1,0,1,1,0,2,1,2,0,0,0,0,0,1,1,2,1,0,0,1,1,0,1,0,2,1,0,1,2,0,1,0,2,1,1,0,0,0,2,1,0,1,1,2,1,1,0,1,2,1,0,0,1,1,2,0,0,2,0,0,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,2,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0,1,0,1,0,1,1,2,0,1,0,0,0,2,0,1,0,1,0,0,2,1,1,0,1,1,1,0,0,1,0,0,0,0,2,0,2,0,0,2,2,0,0,1,1,1,0,0,2,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,1,1,1,1,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,2,1,1,0 1,0,1,2,0,0,2,1,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,2,0,1,1,0,0,0,0,1,0,0,2,1,1,0,2,1,1,0,0,1,1,0,0,0,0,1,2,1,0,0,0,1,1,1,2,0,2,0,2,1,0,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,2,0,0,0,0,0,0,0,1,0,2,0,1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0,2,0,0,0,2,2,2,0,2,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,0,0,0,2,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,2,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,2,1,1,0,0,1,0,0,1,1,0,2,1,0,1,0,0,0,1,0,2,0,0,2,1,0,0,1,0,0,0,1,0,1,0,0,1,2,0,0,2,0,1,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,2,2,0,0,0,0,0,1,0,0,1,0,0,2,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,2,1,1,1,1,0,0,1,0,1,1,1,2,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,1,1,0,0,2,1,1,0,2,0,1,0,0,1,1,2,0,0,0,1,0,1,2,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,1,1,2,1,2,0,1,0,0,1,1,1,0,0,1,1,1,0,0,2,0,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,0,0,2,1,0,1,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,2,0,1,0,0,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,1,0,2,0,1,2,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,2,1,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,1,2,1,1,0,1,1,1,0,0,0,0,0,0,1,2,0,1,1,2,0,2,1,0,0,1,0,0,0,0,0,2,1,0,0,0,1,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,1,1,0,2,2,0,0,2,0,0,0,0,0,1,2,0,0,0,2,1,1,1,0,0,1,1,0,0,1,0,2,0,1,0,0,1,1,0,0,1,1,1,2,0,0,1,0,1,0,0,0,1,0,0,2,1,1,0,0,0,1,1,1,0,1,0,0,1,1,0,2,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,2,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,1,0,0,1,0,2,0,0,0,1,0,0,0,0,1,1,0,0,1,1,2,2,0,0,1,0,0,2,1,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,2,1,0,1,0,0,1,2,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,1,1,1,0,2,0,2,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,2,1,0,0,0,0,1,0,0,1,0,2,0,1,0,0,0,0,0,1,1,0,2,0,0,2,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,1,1,1,0,0,2,0,0,1,1,0,1,1,0,2,2,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0 1,0,2,0,1,0,0,0,0,2,2,0,0,1,1,0,0,1,0,0,0,0,0,0,1,2,1,0,0,2,0,0,1,0,0,0,0,0,0,0,1,2,1,1,0,0,1,0,2,1,0,0,0,0,0,0,2,0,1,0,2,0,2,0,0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,2,0,0,1,0,0,0,1,0,1,0,2,0,0,0,1,0,1,0,2,1,1,0,0,1,0,0,0,0,1,0,0,1,2,1,2,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,1,1,0,2,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,2,0,0,2,0,1,0,1,1,0,1,2,1,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,2,1,0,1,2,1,2,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,2,0,1,0,0,1,0,0,0,0,1,0,0,1,0,2,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,1,2,0,0,0,2,0,0,0,0,0,0,1,1,1,1,0,0,1,0,1,1,0,1,2,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,2,2,1,0,0,1,0,0,2,0,0,0,0,1,0,1,0,2,0,0,1,0,1,0,1,1,1,0,1,0,0,0,1,1,1,2,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,1,1,0,0,0,0,2,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,2,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,1,2,0,0,2,0,0,1,1,1,0,1,0,2,0,0,1,2,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,2,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0,1,2,0,1,0,0,0,1,0,0,0,2,1,0,1,2,0,1,0,0,1,2,0,1,0,0,2,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,2,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,2,0,0,1,1,1,1,1,0,0,0,1,0,2,0,0,0,0,0,0,1,2,0,0,0,0,2,0,0,0,1,0,1,0,0,1,1,2,1,1,1,0,0,1,0,1,2,1,0,0,0,0,0,1,0,0,0,0,1,2,0,0,0,1,0,2,0,0,0,2,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,1,0,1,2,1,0,1,2,0,1,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,1,2,0,2,1,1,0,1,1,0,0,0,0,2,0,0,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,2,2,0,0,0,1,0,0,2,2,1,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,2,0,0,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,0,2,0,1,0,1,0,2,2,0,0,0,1,0,0,1,2,1,0,2,0,0,0,1,1,1,1,0,0,0,1,0,0,1,2,0,0,2,0,1,0,0,2,0,1,0,0,0,0,1,0,2,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0 1,0,1,2,1,0,0,0,2,1,2,0,0,2,1,1,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,2,0,1,1,1,2,0,0,0,0,0,1,1,0,1,1,0,0,2,0,2,0,1,1,0,1,0,0,2,2,0,1,1,1,1,0,2,0,0,0,1,2,0,0,0,0,2,2,1,0,1,0,0,1,1,1,0,0,0,2,1,0,0,0,2,2,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,2,0,0,0,0,0,0,0,1,0,1,0,0,2,1,1,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,2,0,1,1,0,2,1,1,0,0,1,0,0,0,0,2,0,1,1,1,1,0,1,0,0,1,0,1,1,1,1,1,0,1,0,2,0,1,1,0,0,1,0,0,0,1,1,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,2,0,1,0,1,0,0,1,1,0,0,2,1,0,0,1,0,2,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,1,1,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,2,0,0,0,1,0,1,1,0,0,1,1,0,2,0,0,0,1,1,0,2,0,0,1,1,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,2,0,2,1,0,1,1,1,0,1,0,2,0,0,1,2,1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,2,1,2,0,1,0,0,0,0,2,0,0,0,1,1,1,0,1,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,2,1,0,0,0,0,0,1,1,0,0,1,0,0,1,0,1,1,1,2,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,1,1,2,0,0,1,0,1,0,2,0,2,0,0,1,1,2,1,1,1,0,0,1,1,1,0,0,2,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,1,1,0,2,1,0,1,0,0,1,1,2,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0,2,0,0,0,1,0,0,0,1,2,0,0,1,1,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,2,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,1,0,1,1,0,0,0,1,0,2,1,2,1,0,0,1,1,0,0,1,1,0,1,0,2,1,0,0,0,0,1,0,0,0,2,0,2,0,1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,1,2,0,0,0,2,0,1,0,1,0,2,0,1,0,1,0,0,0,1,0,1,0,2,0,2,0,0,0,0,1,0,0,1,1,1,1,0,1,2,2,0,0,0,0,0,0,0,1,1,1,1,0,0,2,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,2,0,0,1,0,0,0,0,0,2,1,0,1,1,0,0,0,0,1,0,0,0,1,1,2,0,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0,2,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,2,0,1,1,0,0,0,0,0,0,2,1,0,1,0,0,2,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,1,1,1,1,0 1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,2,1,0,0,2,0,1,0,2,0,0,0,0,1,0,2,0,0,1,0,0,1,0,2,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,0,2,1,1,1,0,2,1,2,0,0,2,0,0,0,0,1,0,1,1,1,0,1,0,0,1,2,1,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,2,0,2,1,1,0,0,0,1,0,1,2,0,1,0,0,2,1,0,1,0,2,0,1,0,1,0,1,0,2,2,0,1,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,2,1,0,1,0,0,0,0,0,0,2,1,1,1,0,0,0,0,1,1,0,1,0,2,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,1,0,0,1,1,0,2,1,0,0,1,0,1,0,0,0,0,1,1,1,0,1,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,2,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,2,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,2,0,1,1,0,0,0,2,0,2,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,2,0,1,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,1,1,1,1,2,0,0,1,1,1,0,0,0,1,1,0,0,1,0,2,0,0,0,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0,2,0,0,0,1,1,2,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,1,1,0,2,0,0,1,0,0,1,0,2,0,2,0,1,0,1,1,1,0,0,1,1,0,0,0,2,0,0,0,0,1,0,0,2,0,0,1,0,0,0,1,0,0,1,1,2,1,0,0,0,0,1,1,2,2,0,0,2,0,0,1,0,1,1,0,1,0,0,0,0,1,0,1,1,1,1,0,0,1,1,0,1,0,2,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,2,0,1,0,1,1,2,0,0,1,1,0,1,2,1,0,0,0,1,0,1,0,2,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,1,1,1,1,1,1,1,0,2,0,0,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,1,0,0,0,2,1,1,1,0,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0,1,1,1,1,0,1,1,1,2,2,0,0,0,1,0,0,1,0,2,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,2,0,0,2,1,0,1,2,0,0,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,2,0,1,0,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,1,1,1,0,0,1,1,1,0,1,1,0,2,1,0,1,0,1,0,0,1,0,2,0,0,0,0,0,2,0,1,0,0,0,2,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1,2,0,0,1,1,1,1,0,1,1,1,0,0,0,0,1,1,0,2,0,0,0,0,0,0,1,0,2,0,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0 0,0,1,1,0,0,0,1,2,0,1,0,0,1,0,1,0,0,0,0,0,0,2,0,1,0,2,2,0,0,2,0,0,0,0,0,2,1,1,0,0,0,1,1,1,1,0,0,0,2,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,2,0,1,2,2,0,2,0,0,0,1,0,1,1,1,0,1,0,1,2,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,1,1,2,0,0,1,0,0,0,0,1,0,1,0,0,0,0,2,1,0,2,2,0,0,1,2,0,0,0,1,0,1,0,0,0,0,1,2,0,2,1,0,0,0,0,0,1,0,0,2,0,0,0,1,1,1,0,1,0,0,2,1,0,2,0,0,0,0,1,1,0,0,1,1,1,2,0,1,0,1,0,0,0,0,0,1,2,0,0,1,0,2,0,0,1,2,2,0,1,0,1,0,0,0,0,2,1,0,0,1,0,1,1,0,0,1,1,0,0,2,0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,1,2,0,0,0,0,1,1,0,0,0,2,0,0,0,1,0,0,1,0,2,0,0,1,0,2,0,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,2,1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,2,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,1,1,0,0,1,1,0,2,0,2,2,0,0,2,1,2,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,2,0,0,0,0,0,2,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,2,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,1,0,2,2,0,2,0,0,0,0,0,0,0,1,0,0,0,2,0,0,2,1,0,1,0,1,2,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,2,1,1,2,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,1,0,2,1,0,1,1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,1,0,2,2,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,2,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,2,1,1,1,0,0,1,0,1,1,1,2,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,2,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,1,0,0,1,0,0,1,1,2,1,0,1,2,1,1,0,1,0,1,0,0,0,0,1,2,2,2,0,1,1,0,1,0,0,0,2,1,1,1,0,1,1,1,0,0,0,2,0,0,0,0,1,1,0,0,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,2,0,0,0,0,0,0,1,1,0,2,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,1,0,1,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0,0,1,0,2,0,0,1,1,0,0,2,0,0,0,1,1,0,0,2,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,2,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,1,1,1,1,1,0,1,0,1,0,0,2,0,0,1,0,1,0,0,1,0,0,0,1,2,0,1,1,0,1,2,1,1,0,0,0,0,0,0,1,2,1,1,0,1,1,2,1,1,0,0,0,1,1,0,1,1,2,0,0,0,1,0,1,1,0,0,0 1,0,1,2,1,0,0,1,2,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,2,1,1,1,0,0,0,0,0,1,1,1,0,0,1,2,1,0,1,0,0,0,0,0,0,1,0,1,0,2,0,1,0,0,0,0,0,1,0,0,2,0,0,1,0,2,0,2,0,1,1,0,0,0,0,1,2,2,1,1,0,2,1,1,0,1,1,1,0,0,0,2,0,1,2,0,1,0,0,0,0,0,1,1,1,0,1,1,1,0,2,1,1,0,0,0,0,0,0,0,1,2,1,1,1,0,1,0,0,2,0,0,1,2,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,1,2,0,0,0,1,0,1,1,0,0,1,0,1,2,0,1,0,0,1,0,0,0,2,0,0,1,1,0,1,1,0,1,0,0,1,1,2,0,0,1,0,0,0,0,0,0,1,1,0,1,2,1,0,0,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,2,0,2,2,0,0,0,1,1,0,0,2,0,0,1,0,0,0,1,0,1,1,2,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,2,0,0,0,1,2,2,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,2,1,0,1,0,0,1,0,1,1,0,0,0,2,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,2,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,2,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,1,2,1,1,0,2,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,1,2,0,1,0,0,1,0,1,1,1,1,1,2,1,0,1,1,0,1,0,1,0,1,0,0,0,0,1,2,1,0,1,0,2,0,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,2,1,0,1,0,0,0,1,0,0,0,0,1,1,2,1,1,0,1,0,0,0,2,0,0,1,1,0,2,2,0,0,1,0,1,1,0,0,1,0,0,0,1,0,2,1,0,0,1,0,0,1,2,0,1,0,1,1,0,0,0,0,1,0,0,2,0,2,0,1,0,2,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,2,0,1,0,1,0,1,0,0,0,0,0,0,1,2,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0,2,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,2,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,2,0,0,1,1,0,0,0,0,0,1,1,2,0,1,0,2,1,0,0,1,0,0,0,1,0,2,0,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0,1,1,0,2,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,2,1,1,0,1,0,0,0,1,0,2,0,1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,2,0,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,1,0,0,0,1,1,1,0,1,2,0,0,0,1,1,2,0,0,0,0,1,2,1,0,0,0,0,0,1,0,1,1,0,2,1,2,1,1,2,0,1,0,1,1,0,0,1,0,2,0,0,1,0,0,0,0,1,0,1,0,2,0,1,0,2,1,0,2,1,0,2,1,0,0,1,1,0,1,1,1,0,0,1,2,0,1,0,1,2,1,0,0,1,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,2,0,0,1,0,1,0,0,1,2,1,1,0,2,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0,2,2,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,2,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,2,1,1,1,0,2,0,0,0,1,0,1,0,0,1,0,0,0,0,1,2,2,1,1,0 1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,2,2,0,2,1,0,0,0,1,0,0,1,1,1,1,2,0,0,0,1,0,2,0,0,0,1,0,2,1,2,0,0,0,0,0,0,0,0,2,2,1,0,0,2,0,2,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,2,2,0,0,0,1,1,0,0,2,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,2,0,1,1,0,0,1,1,1,1,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,2,2,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,2,0,0,2,0,1,0,1,0,0,1,2,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,1,1,1,1,1,1,0,2,0,0,0,0,0,0,1,2,1,0,1,0,0,0,2,1,1,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,2,0,0,0,1,0,1,0,1,0,1,2,1,0,1,0,1,0,1,0,2,0,0,0,1,1,1,1,0,0,0,1,2,1,1,0,0,0,0,1,1,0,1,0,0,1,1,2,1,0,0,0,1,0,1,0,0,0,0,2,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,1,1,1,1,0,2,1,0,0,0,0,1,1,2,1,0,0,0,1,1,1,0,1,1,0,0,2,0,1,0,1,0,0,0,0,2,0,0,0,0,1,0,0,2,0,1,0,0,1,0,0,0,0,0,2,1,0,1,1,1,0,0,0,0,2,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0,1,2,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,2,1,0,1,0,0,1,2,0,0,1,1,1,1,0,0,0,1,1,1,1,0,1,0,0,1,0,2,0,1,0,0,1,1,0,0,0,2,1,0,0,0,0,0,0,0,1,0,1,1,0,0,2,0,1,1,1,1,1,0,1,0,1,1,1,2,1,0,0,2,0,0,2,1,0,0,0,1,1,1,0,0,2,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,2,0,0,2,1,0,0,1,0,1,0,0,0,1,2,0,2,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,2,0,0,2,1,1,0,0,2,0,0,0,1,0,0,0,1,1,1,0,1,2,0,1,2,0,0,1,1,1,1,0,0,2,1,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,2,1,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,1,2,0,0,0,0,2,0,2,0,2,1,1,0,1,0,0,2,1,1,1,1,0,2,0,0,0,1,1,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1,2,2,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,1,2,0,2,1,0,0,0,0,0,0,1,0,2,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,1,1,1,1,1,1,0,2,1,2,1,1,0,1,2,2,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,1,0,1,0,1,0,2,1,0,2,2,0,1,1,0,1,1,0,1,2,1,2,0,0,1,1,0,2,0,0,0,0,0,0,0,2,2,0,1,0,1,0,0,0,0,0,1,0,0,2,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0,2,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,2,2,1,1,0 1,0,0,1,1,0,2,1,1,2,2,0,0,2,0,0,0,2,0,0,0,1,0,0,0,2,2,1,2,0,1,0,1,1,1,0,1,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0,2,0,1,0,2,2,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,2,1,1,0,0,0,1,1,1,1,2,0,0,0,1,1,0,0,1,1,0,1,1,0,1,1,1,1,0,0,0,1,0,1,2,0,2,0,1,0,0,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,2,0,1,0,0,1,0,0,2,1,1,0,0,1,0,1,0,0,0,0,2,0,0,1,0,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,2,0,1,0,0,0,1,2,0,2,0,1,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,2,1,0,0,1,0,1,1,0,0,0,2,1,1,1,0,2,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,2,1,0,0,2,0,0,1,0,2,2,1,1,0,2,0,0,1,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0,1,1,1,0,1,2,0,0,0,0,1,2,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,2,2,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,1,0,1,0,1,2,0,1,1,0,0,1,0,1,1,0,2,1,0,2,2,0,1,2,0,0,1,0,0,0,1,0,0,1,1,0,0,1,1,1,0,2,1,0,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,0,0,0,0,1,1,0,0,1,0,2,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,0,2,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,2,2,1,0,1,0,0,1,0,0,1,1,2,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,1,1,1,2,0,0,1,1,1,2,0,0,0,0,0,1,1,1,0,2,1,1,0,1,0,1,2,1,0,0,2,0,0,1,2,1,0,1,0,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,1,0,1,0,2,0,0,1,0,1,0,0,0,0,0,0,1,0,0,2,0,1,0,0,2,1,1,2,0,0,2,1,0,2,1,1,1,1,0,0,0,0,0,0,1,0,0,1,2,1,1,1,0,1,0,1,1,0,1,0,0,2,2,0,0,0,0,0,0,0,0,1,1,1,2,1,1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,1,2,0,2,0,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,2,0,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,2,1,1,0,2,0,0,1,2,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,2,0,0,1,1,1,1,0,1,0,0,2,2,1,0,1,0,1,2,0,1,1,1,0,0,0,2,1,0,1,0,0,0,0,1,1,0,1,0,0,1,1,1,0,0,2,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,2,1,0,0,0,0,1,0,1,0,1,0,1,1,0,2,1,0,2,0,0,0,0,2,0,1,1,0 2,1,2,1,0,1,0,1,0,0,2,0,1,2,1,1,0,0,0,0,0,1,1,0,0,0,2,1,0,0,0,0,1,2,1,0,1,0,0,0,0,2,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,2,0,2,0,0,0,0,0,0,1,0,1,2,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,2,0,1,1,1,0,0,0,0,2,1,0,0,1,1,1,0,2,0,0,0,0,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,2,2,2,1,0,0,0,1,2,0,0,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,2,0,1,0,2,2,0,0,1,1,0,0,0,1,0,0,2,0,1,1,0,0,0,0,1,1,1,1,2,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,1,1,0,2,0,0,1,0,1,2,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,1,2,1,0,0,0,0,1,1,1,0,0,0,0,2,0,0,0,0,0,0,0,1,2,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,2,0,0,1,1,1,0,0,0,1,0,1,0,0,1,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,1,0,0,1,1,1,1,1,0,0,0,2,2,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,1,0,1,2,0,1,0,0,0,0,1,2,0,0,0,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,2,0,0,0,1,0,0,0,0,1,0,2,0,1,1,1,0,1,2,2,0,2,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,2,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,2,1,0,0,0,0,1,0,1,0,2,0,1,2,1,1,1,1,2,0,0,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0,1,1,0,0,2,0,1,1,2,0,1,0,2,2,0,0,0,0,1,2,0,2,1,0,1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,2,1,0,0,0,0,2,0,0,0,1,0,1,1,1,0,0,2,0,2,0,0,0,1,1,1,1,0,2,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,2,0,1,0,0,0,0,0,0,0,2,0,1,1,1,2,1,2,0,2,1,0,0,2,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,2,0,1,0,1,1,0,0,1,0,0,0,2,1,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,2,0,0,2,1,0,0,1,1,1,2,0,0,0,1,2,0,1,2,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,2,2,0,1,0,1,0,1,2,1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,2,0,1,2,1,0,0,1,0,1,1,0,0,2,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,1,0 0,0,0,1,1,2,0,0,1,2,2,1,0,1,1,0,0,1,1,0,0,0,1,0,2,1,2,0,0,2,1,0,1,1,0,0,0,2,0,1,0,2,0,2,0,0,0,2,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,1,1,1,0,0,1,1,1,0,0,1,2,0,0,0,0,0,2,0,1,0,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,1,0,0,2,0,1,0,0,0,0,2,0,0,2,1,1,1,0,2,1,1,1,0,1,1,1,0,0,0,2,1,1,1,0,0,2,0,1,0,0,1,0,1,0,0,1,2,1,0,0,1,2,0,0,1,1,2,0,1,2,0,1,0,0,1,0,1,1,0,1,0,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,1,2,0,2,0,0,1,1,0,1,0,1,2,0,1,2,0,0,1,1,0,0,0,0,0,0,2,1,1,1,0,0,2,0,0,0,2,2,1,0,0,1,1,2,1,0,0,0,0,1,1,2,2,0,2,1,0,0,0,1,1,0,0,2,0,2,0,2,0,0,0,1,0,0,0,0,0,0,0,1,1,2,1,0,1,0,1,1,1,2,0,0,1,1,0,1,0,0,1,0,0,0,1,1,2,2,0,0,1,0,0,0,0,0,1,2,0,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,0,1,0,0,1,1,1,2,2,0,0,0,1,0,0,1,0,1,0,2,1,0,0,2,0,1,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,2,0,0,0,1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,2,0,0,0,1,1,0,0,0,0,2,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,2,0,0,0,1,0,2,0,0,0,1,0,2,0,1,2,2,0,1,1,0,0,1,0,0,0,1,0,1,2,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,2,0,0,0,1,0,2,0,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0,1,1,1,1,2,1,1,0,0,1,2,0,0,2,0,0,0,0,0,0,1,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,1,0,1,0,0,1,1,2,0,0,0,2,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,1,1,2,0,1,1,1,0,0,0,0,0,1,0,0,1,0,2,0,0,2,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,1,0,2,1,1,0,0,0,2,0,0,0,2,0,0,1,0,1,0,0,1,1,2,0,0,1,0,0,1,0,1,1,1,2,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0,1,0,2,2,0,1,0,0,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,1,1,0,1,1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,1,0,1,0,0,0,1,0,2,1,0,0,1,0,0,1,0,1,1,2,0,0,2,1,0,1,0,0,0,1,1,1,1,2,0,0,2,1,0,0,2,0,1,0,0,1,0,0,1,1,0,1,1,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,2,1,1,1,0,2,1,1,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0 1,0,1,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,2,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,2,1,0,1,0,1,0,0,0,0,1,0,1,1,1,0,2,0,1,2,0,0,0,0,0,0,1,0,1,2,0,0,1,1,1,0,0,2,1,2,0,1,0,1,0,2,2,1,1,2,0,0,0,0,1,0,1,1,0,1,1,2,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,2,0,0,0,0,0,1,0,0,1,2,2,1,0,1,1,1,0,2,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,2,1,0,0,0,0,0,2,1,0,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,2,1,0,0,0,0,1,0,1,0,0,2,0,0,1,0,1,2,0,0,0,0,0,1,1,1,0,0,1,2,1,0,0,2,0,0,1,2,2,2,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,2,1,0,1,0,1,0,1,0,0,1,0,0,2,2,0,0,0,1,0,2,2,0,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,1,2,1,1,1,0,2,0,0,1,0,1,1,0,1,0,1,2,0,1,1,2,1,0,0,2,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1,1,2,0,2,1,1,1,0,0,0,1,2,0,1,0,1,1,1,0,2,1,1,0,0,0,0,0,2,0,0,2,1,0,0,1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,1,0,1,1,0,1,1,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,2,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,2,0,1,0,2,1,1,0,1,1,0,2,2,1,0,0,0,0,0,0,1,1,1,1,0,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,2,1,0,1,1,0,0,1,0,1,2,1,0,0,1,0,0,0,2,2,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,2,0,1,0,1,0,0,0,2,2,0,1,0,0,2,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,2,0,2,0,0,0,1,0,0,0,0,0,1,0,2,1,1,0,0,0,0,2,2,0,0,0,1,1,0,1,0,0,0,0,0,2,2,0,0,0,0,0,1,2,0,1,0,1,0,1,0,0,2,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,0,1,2,2,1,1,0,0,1,1,1,0,0,1,0,1,1,0,2,0,0,1,2,0,0,2,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,2,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,2,0,0,2,0,2,0,2,0,0,1,1,0,0,2,1,0,1,1,0,2,0,1,0,2,1,1,1,1,0,1,2,0,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,2,1,0,0,0,0,0,1,0,2,1,1,1,0,2,0,2,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,2,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0,2,1,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0,1,2,1,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,1,0,0,0 1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,2,0,0,0,0,0,0,1,1,1,2,1,0,2,1,2,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,1,1,2,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,2,1,2,1,2,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,0,1,0,1,1,2,1,0,1,0,0,2,0,1,0,0,0,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0,2,0,0,0,1,1,1,1,0,0,0,0,2,0,1,0,0,2,0,0,1,2,0,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,2,0,0,0,0,0,1,2,1,0,0,2,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,2,0,2,0,0,0,0,1,1,1,1,0,0,0,1,1,1,1,1,0,1,0,1,0,1,1,1,1,0,0,1,1,2,1,0,0,0,2,1,2,1,0,0,0,1,1,2,0,1,1,1,1,1,1,0,1,0,0,2,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,1,1,0,0,0,0,2,1,0,0,0,0,1,0,0,2,0,0,0,0,0,0,1,1,1,1,0,1,1,1,0,0,0,2,0,0,1,1,0,1,1,0,1,1,2,1,1,2,0,0,0,1,0,1,1,0,2,0,0,1,1,0,2,0,0,0,0,0,1,0,1,1,0,1,1,1,2,1,2,0,0,0,1,2,1,1,1,2,0,0,1,1,0,2,0,0,1,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,1,2,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,2,0,0,1,2,0,1,1,0,0,0,0,0,0,0,1,1,0,2,2,0,2,0,1,1,2,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,2,0,2,1,0,0,0,2,0,2,0,0,0,1,1,0,1,0,1,2,1,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,2,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,2,1,0,1,1,1,0,0,0,1,0,0,2,0,0,2,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,2,1,1,2,0,0,0,1,0,0,1,0,0,0,1,1,0,0,1,1,1,1,1,0,1,0,2,0,1,0,0,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,1,0,2,1,0,2,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0,2,0,0,1,1,2,1,1,2,0,0,1,0,1,0,0,1,2,0,1,0,0,0,1,1,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0,1,1,1,1,1,2,0,2,0,0,0,0,0,2,0,1,1,1,1,0,0,2,2,0,0,1,0,1,2,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,2,0,2,0,1,2,0,1,0,0,0,2,1,0,1,1,0,1,0,1,0,2,1,1,0,1,1,0,1,1,1,2,1,0,0,0,0,1,0,0,1,0,2,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,1,2,0,0,0,0,2,1,1,2,0,0,2,0,0,1,0,0,1,0,0,0,2,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,2,1,1,0 2,0,1,1,0,1,1,1,1,1,0,1,0,1,2,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,2,0,1,0,0,0,0,0,1,0,0,2,0,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,2,1,0,2,0,2,0,1,0,1,0,0,0,0,0,0,1,1,2,2,0,0,0,2,2,0,0,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,2,0,0,0,2,0,1,0,1,0,2,2,2,1,0,0,0,1,2,1,0,0,0,1,1,0,0,1,0,1,0,2,0,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,2,0,2,0,0,1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0,1,1,0,1,0,1,0,0,1,0,1,0,2,0,1,0,1,0,0,1,0,0,0,1,2,1,0,0,0,0,0,1,0,2,0,0,0,1,2,1,0,1,0,0,2,0,0,1,0,1,0,0,2,0,0,0,0,0,1,0,0,1,1,0,1,1,0,1,2,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,2,0,2,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,1,1,1,1,0,1,0,1,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,1,0,0,2,0,0,1,0,1,0,1,1,2,0,0,2,1,2,0,0,0,1,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,1,1,0,1,2,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,2,2,1,1,2,0,1,0,0,0,0,1,0,0,0,1,2,0,0,0,0,1,0,0,0,1,2,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,2,1,1,1,1,0,1,0,1,2,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,2,2,0,1,0,0,1,2,0,0,0,0,1,0,0,2,2,0,0,0,1,0,1,0,0,1,2,0,0,1,1,1,0,1,0,0,0,2,0,2,0,0,0,1,1,2,2,2,0,1,1,0,0,0,0,0,1,1,0,0,1,2,0,0,1,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,1,2,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,1,0,2,0,0,0,0,0,1,2,1,0,0,0,1,1,2,1,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,2,1,0,0,1,0,0,1,2,0,0,0,0,0,0,0,2,0,1,0,1,0,1,0,0,1,0,0,0,2,1,0,0,0,0,1,1,0,2,0,1,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,1,1,2,1,1,1,1,1,0,0,0,0,2,0,1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,2,0,0,1,0,0,0,1,0,2,2,0,0,1,0,0,1,0,1,0,2,0,0,0,1,0,0,1,1,0,0,1,2,0,1,1,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,2,2,0,0,0,1,0,1,0,0,0,2,1,0,1,0,0,0,1,2,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,2,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,1,2,0,0,0,0,2,0,2,1,0,0,1,0,1,0,0,0,1,1,1,0 0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,1,1,2,0,0,1,0,0,2,1,0,1,0,0,0,1,0,2,0,1,1,0,0,0,1,0,1,0,0,2,1,1,0,1,1,0,0,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,2,1,0,1,1,1,1,0,0,0,0,1,0,1,2,1,0,1,1,1,0,0,0,1,1,1,2,0,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,2,0,0,1,1,0,2,1,1,1,1,0,0,1,0,0,1,1,2,0,1,0,0,1,1,2,0,0,0,2,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,2,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,2,0,0,0,0,0,1,1,1,1,1,1,0,0,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,2,0,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,2,0,0,0,1,2,1,2,0,1,0,0,2,0,0,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,2,0,1,0,1,1,0,2,0,0,0,1,1,0,0,0,0,0,1,0,0,0,2,1,1,1,1,0,0,2,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,1,0,0,0,0,1,2,0,0,1,0,2,0,1,0,0,0,0,2,0,0,0,0,0,1,1,2,0,0,2,0,1,0,0,1,0,0,0,2,1,2,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,1,0,2,2,1,1,1,0,2,1,0,0,0,0,0,0,0,0,2,2,0,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0,0,1,2,1,0,0,0,1,0,1,0,0,2,1,1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,1,1,0,0,2,0,0,1,0,1,0,0,2,1,0,1,1,0,2,0,2,1,1,0,0,0,2,0,1,0,1,0,0,1,0,0,1,0,2,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,1,1,0,0,2,0,0,1,0,0,1,0,0,1,0,1,0,2,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,2,0,2,0,1,0,0,0,1,2,0,0,0,1,0,1,0,0,1,2,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,2,1,2,0,1,1,0,2,0,0,0,0,0,0,1,1,2,2,0,1,0,0,0,0,0,0,0,0,1,1,0,1,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,2,0,2,1,0,0,1,0,0,0,2,1,0,2,0,0,2,1,0,1,0,2,0,1,2,2,2,2,0,1,1,1,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,2,1,0,2,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,2,1,0,2,1,1,0,1,2,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,1,0,0,0,0,2,0,1,0,0,1,1,0,2,0,0,1,1,1,1,1,0,0,1,1,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,2,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0 0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,2,0,0,0,1,0,2,0,0,1,0,0,1,0,2,1,0,0,1,0,0,1,1,2,1,0,1,0,0,1,0,2,0,0,0,1,2,0,2,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,1,1,2,0,0,0,0,1,0,0,0,2,0,2,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0,0,0,2,0,0,0,2,0,0,0,1,1,1,0,0,0,0,0,1,1,0,1,0,1,1,1,1,2,1,0,1,1,0,0,1,2,0,1,0,0,1,1,0,1,0,0,0,2,0,1,0,2,2,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,2,1,1,0,0,0,0,1,2,0,1,1,0,1,0,2,0,0,0,0,0,0,1,2,0,0,0,0,2,0,0,2,1,0,0,0,0,0,1,0,0,1,0,2,1,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,1,2,0,1,0,2,0,1,2,0,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,1,1,1,2,0,2,1,1,0,1,1,0,0,1,0,0,2,2,1,1,0,2,0,1,0,0,0,0,1,0,1,1,2,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,2,1,2,1,1,1,1,0,0,0,2,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,2,2,1,0,0,1,1,0,1,1,1,0,1,2,0,0,0,2,0,2,0,2,0,0,0,0,1,0,2,0,1,0,0,0,2,0,0,1,0,1,0,0,1,0,2,1,1,1,0,0,1,0,0,0,1,0,0,0,2,1,1,0,0,0,0,1,0,0,2,0,0,2,1,0,1,0,0,0,1,0,2,0,0,1,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,2,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,2,0,0,0,1,0,1,0,2,0,1,0,0,1,2,0,1,0,1,0,0,1,2,1,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1,2,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,2,0,1,0,0,1,2,0,0,1,1,0,0,0,0,0,1,1,0,1,0,1,0,1,2,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,2,0,0,0,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,2,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0,1,2,0,1,2,0,1,1,0,0,1,0,1,1,0,2,0,1,2,1,0,0,2,0,0,0,0,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,2,0,0,0,0,1,1,1,0,2,1,0,2,1,0,2,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,2,0,0,0,1,2,2,0,1,0,1,0,2,1,1,0,1,1,0,0,2,1,1,1,1,0,1,0,2,0,0,0,0,2,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,1,2,0,1,0,1,1,0,2,0,1,0,0,0,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0 1,0,0,2,0,0,0,0,0,1,1,1,0,2,1,0,0,1,1,0,0,0,0,0,1,1,2,1,0,1,2,0,0,2,0,1,2,0,1,2,0,2,2,1,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,2,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,2,0,2,1,1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,2,0,0,0,0,0,1,1,1,2,0,1,0,0,0,0,1,1,2,0,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,2,1,0,0,1,0,2,1,0,2,0,1,1,1,0,0,2,0,0,2,0,0,0,1,0,0,1,0,0,1,1,1,1,0,2,1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,2,0,1,1,2,0,1,0,0,0,1,0,0,1,0,2,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,2,0,1,0,2,1,0,0,0,1,0,0,0,1,2,1,0,0,0,2,0,2,0,1,0,0,1,1,2,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,1,1,1,1,1,1,2,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,2,1,1,0,1,0,0,0,1,0,0,0,1,2,0,0,0,1,1,0,0,2,1,2,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,2,0,1,0,0,1,1,0,1,1,2,0,1,0,1,0,0,0,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,1,1,1,0,1,0,2,1,0,0,0,1,1,0,0,0,0,2,0,0,1,0,0,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,1,1,1,1,2,1,2,0,1,1,1,1,0,1,2,0,0,0,1,1,0,1,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,1,0,2,0,2,0,1,0,2,0,1,1,0,1,1,0,0,0,2,1,0,0,0,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0,0,1,0,2,1,0,0,0,0,2,0,1,0,1,2,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,2,1,1,0,1,0,2,0,1,0,0,1,0,0,0,0,0,2,0,1,0,1,1,1,0,2,1,1,0,0,1,1,0,0,0,2,0,1,1,2,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,1,2,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0,2,0,0,1,0,1,0,1,1,2,0,2,0,1,1,0,0,0,1,0,1,0,0,1,1,0,0,2,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,2,1,1,0,2,1,0,2,2,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,2,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,0,0,2,1,1,0,0,0,0,1,0,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,1,0,1,1,1,1,2,0,0,0,1,1,1,1,0,2,0,0,1,0,0,1,0,1,0,0,1,0,1,2,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,1,2,0,0,1,1,1,0,1,1,1,0,1,0,1,2,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0 1,0,1,1,0,0,0,0,2,0,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0,2,0,1,1,1,0,2,0,1,0,2,0,0,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,2,0,2,1,2,0,0,0,1,0,0,0,1,1,0,1,2,1,0,2,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,2,0,1,1,1,0,0,0,0,1,0,0,2,2,2,0,2,2,0,0,1,0,1,2,0,1,0,0,2,0,0,1,0,2,0,2,0,0,1,0,1,0,2,0,0,2,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,0,0,1,2,2,2,1,0,1,0,0,2,1,0,1,0,0,1,0,0,0,0,2,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,2,2,0,0,0,0,0,0,0,0,1,1,1,0,2,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0,1,0,2,2,2,0,1,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,2,0,0,1,2,1,0,0,0,2,0,0,1,0,1,1,0,0,2,0,0,1,1,1,0,0,0,0,1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,2,0,1,0,1,1,2,2,0,0,1,0,0,0,0,0,0,0,1,0,0,2,1,0,1,0,0,0,2,0,0,0,1,0,0,0,1,2,0,0,1,0,0,1,0,1,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,2,1,0,0,0,0,0,1,0,0,0,1,1,2,2,0,0,1,1,1,0,0,0,1,0,0,2,0,1,2,1,1,1,1,0,1,0,0,1,2,0,1,0,0,1,2,0,0,0,0,0,1,0,0,0,2,2,0,0,0,1,1,0,1,2,1,0,0,0,1,0,0,1,2,0,0,0,0,0,0,2,1,1,0,1,1,0,0,0,0,0,0,1,1,1,0,2,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,2,0,1,1,2,0,0,1,1,0,0,0,2,0,2,1,0,0,1,0,1,2,1,2,1,1,0,0,0,1,0,1,1,2,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,2,0,0,1,1,0,0,0,0,1,0,1,1,0,0,2,1,0,0,1,0,1,0,2,2,0,0,0,0,0,1,1,0,2,0,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,2,1,1,1,2,1,0,2,1,2,0,1,0,1,1,0,1,1,0,1,1,0,1,2,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,2,1,0,0,0,1,0,0,0,0,1,0,1,1,1,0,2,0,0,0,1,0,1,0,2,1,1,0,1,0,0,0,1,2,0,0,1,0,2,0,0,0,1,1,1,1,2,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,1,0,1,1,0,2,0,1,1,1,0,0,2,1,1,1,1,1,1,1,2,0,1,1,2,0,0,0,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,1,2,1,2,1,1,0,0,1,1,1,1,2,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,2,0,0,1,1,1,1,1,1,2,0,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,2,2,1,1,0,2,1,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,2,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,2,0,0,1,0,0,1,1,1,1,0,0,0,1,1,1,1,0,1,0,2,1,1,2,0,1,0,0,1,0,1,0,0,0,0,0 2,1,1,2,0,1,0,2,0,1,0,0,0,2,2,0,0,1,2,0,0,2,0,0,1,1,1,1,1,1,0,0,1,1,2,0,1,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,1,0,0,1,1,0,0,2,0,1,1,1,0,0,1,0,0,0,0,1,1,0,0,2,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,2,1,2,0,1,0,1,1,2,0,1,1,2,0,2,1,2,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0,1,0,2,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,2,1,1,0,2,0,0,0,1,0,1,2,0,0,1,1,0,0,0,0,1,2,1,0,0,2,0,1,1,0,0,2,0,1,0,1,0,1,0,0,1,0,0,0,1,1,1,0,0,1,0,1,1,0,0,2,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,2,0,0,1,0,2,0,0,0,0,0,1,2,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,0,2,2,0,1,2,0,1,1,1,0,0,0,0,0,1,0,0,1,2,0,1,0,1,2,0,0,0,1,0,1,1,0,0,0,0,2,0,0,0,0,1,0,1,0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,2,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,2,1,1,0,0,1,1,1,1,0,0,2,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,1,1,0,0,0,2,0,0,0,0,0,1,0,0,0,0,1,2,0,0,1,0,1,2,0,0,1,0,0,1,0,0,0,0,0,1,0,0,2,1,0,1,0,0,1,1,0,0,2,2,2,0,1,0,2,0,0,2,0,1,0,0,0,0,1,0,0,2,0,1,0,0,0,0,2,0,0,1,1,2,1,0,1,0,0,2,0,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,2,1,0,1,0,0,1,0,1,1,1,1,0,1,2,0,0,1,1,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,2,0,2,0,0,1,1,0,0,0,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,2,2,0,1,1,1,0,0,2,2,0,0,0,0,1,0,2,1,0,0,1,1,1,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,2,1,0,1,0,0,2,0,0,0,1,1,0,0,2,1,0,0,0,0,0,0,0,0,2,0,2,2,2,1,0,1,1,1,0,1,0,0,0,1,2,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,2,0,0,2,1,0,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,1,1,2,0,0,1,0,0,0,1,1,1,0,2,0,0,0,1,1,2,0,0,0,1,2,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,2,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,0,2,2,0,0,1,0,0,1,1,0,1,2,0,0,0,0,1,0,0,1,1,0,0,0,1,1,1,1,0,0,0,1,2,1,0,1,0,0,0,1,0,0,2,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,2,0,1,1,1,1,2,0,0,0,0,0,0,1,0,0,1,1,2,2,0,2,0,0,0,0,1,1,2,0,1,0,1,2,0,0,1,2,0,0,0,1,2,0,2,0,0,1,0,0,0,0,1,1,0,0,0 1,0,0,1,0,0,0,0,2,1,1,0,0,2,1,1,0,1,2,0,0,0,0,0,1,1,2,1,1,0,1,0,2,0,0,0,1,1,1,0,0,1,0,1,1,0,0,2,0,0,0,0,0,1,2,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,2,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,2,0,2,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,2,1,1,0,1,1,0,1,0,1,0,0,0,1,1,1,2,0,0,0,0,1,2,2,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,1,1,1,2,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,2,1,0,1,0,0,0,1,1,0,1,1,0,1,1,1,0,1,1,1,1,0,1,2,0,2,1,1,0,0,0,1,0,0,1,0,1,1,2,0,0,0,1,0,1,0,2,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,2,1,0,0,0,2,0,1,0,1,1,2,1,0,0,0,1,0,2,1,0,2,0,0,1,0,1,0,0,0,1,1,1,1,2,0,0,0,1,0,1,1,0,1,1,1,0,1,1,2,0,0,1,1,0,0,2,0,0,2,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,2,0,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,2,0,0,0,1,1,1,1,0,0,2,0,2,2,1,0,0,2,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,1,1,1,0,0,1,2,1,1,2,0,1,2,1,1,0,0,0,1,0,0,1,2,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,1,0,1,0,0,1,1,2,0,0,0,1,0,0,2,1,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,2,1,0,0,0,1,0,0,0,2,0,0,2,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,2,2,0,0,0,1,1,0,0,0,0,1,2,2,0,1,1,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,2,1,0,0,1,0,0,2,0,1,0,1,0,0,0,0,0,2,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,2,1,0,0,0,2,1,0,0,0,0,1,1,1,1,1,1,1,1,0,1,1,1,0,1,0,0,1,1,0,2,0,2,1,0,2,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,2,1,0,0,0,1,0,1,2,1,0,1,1,2,0,0,1,1,0,1,0,0,1,2,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,2,1,0,0,2,0,0,2,0,2,0,1,0,0,0,1,1,1,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,2,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,1,1,0,0,1,0,0,0,0,0,0,2,0,1,1,0,0,1,0,2,0,0,0,0,2,1,2,1,0,0,0,0,0,1,0,2,0,2,0,1,0,0,0,2,0,0,0,0,1,0,2,1,0,0,0 1,0,2,1,2,0,0,1,2,1,1,2,0,1,1,0,1,0,2,0,0,0,0,1,1,2,1,2,0,0,0,0,2,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,1,1,1,2,0,0,0,1,0,1,1,1,2,0,0,1,1,1,0,1,0,1,2,0,0,0,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,2,0,2,2,1,2,2,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,2,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,2,1,1,0,1,0,2,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,1,1,0,2,0,0,1,0,1,0,2,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,2,0,2,0,0,2,1,0,0,1,0,1,0,0,0,1,2,1,0,1,0,0,0,0,0,1,0,1,2,0,0,1,1,1,0,1,0,0,0,0,2,0,0,1,1,0,0,0,0,0,2,0,0,0,1,0,1,1,1,0,1,1,1,2,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,2,1,2,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,1,0,2,0,0,2,1,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,1,2,1,0,1,0,0,0,0,2,1,1,0,0,1,0,0,0,0,0,0,0,2,1,1,0,0,2,0,0,0,1,0,1,1,2,0,0,1,0,1,2,0,0,0,0,2,1,0,2,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,2,2,0,0,0,0,2,0,0,1,0,0,1,0,0,1,1,1,1,0,2,0,0,0,1,1,0,0,0,0,0,1,1,0,2,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0,2,0,0,1,0,0,0,2,0,1,0,0,1,1,0,0,1,1,0,0,0,2,1,0,1,0,0,2,0,1,0,0,0,1,0,0,1,2,0,0,0,0,1,0,0,0,1,0,0,1,2,1,1,0,2,0,1,0,2,2,1,0,0,0,2,1,0,0,1,0,0,0,2,1,0,1,0,0,0,2,0,0,1,0,2,0,0,1,1,0,0,0,0,1,2,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,2,0,0,2,0,0,0,1,0,0,0,1,0,0,0,2,1,0,0,2,1,0,1,1,0,1,0,1,0,2,0,0,1,0,2,0,1,1,1,0,2,0,1,0,0,0,1,0,2,0,2,0,1,0,1,1,0,0,1,0,0,0,0,2,0,0,0,1,1,1,0,2,1,1,1,1,0,1,0,2,0,2,0,0,1,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,1,2,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,1,0,2,1,0,0,1,0,1,0,0,1,2,1,0,0,1,0,1,1,2,1,1,1,1,1,0,0,0,0,2,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,2,0,1,1,0,2,0,1,1,0,1,1,1,1,0,2,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,1,0,0,0,1,1,1,1,0,0,1,0,1,2,1,2,1,1,0,0,2,0,0,0,0,0,2,1,1,1,1,0,2,0,0,0,1,1,1,2,1,1,0 1,0,2,1,0,1,0,2,0,1,2,1,1,2,0,0,1,2,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,1,1,2,0,0,1,1,0,0,1,0,0,0,0,0,2,1,1,0,0,1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,2,1,1,1,1,2,1,0,1,1,0,1,0,0,0,0,0,0,0,2,1,0,1,0,1,0,0,0,0,1,0,0,0,2,0,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,2,1,1,0,1,0,2,2,1,0,1,1,2,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,1,2,1,0,0,0,1,0,2,1,0,0,0,0,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,2,1,1,1,1,0,0,1,1,1,0,1,0,2,0,0,0,1,0,0,1,0,1,1,1,0,0,0,1,1,2,0,0,0,1,1,0,0,0,1,1,2,1,0,0,1,0,1,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,2,0,2,1,0,0,0,1,1,0,1,0,2,1,0,0,0,0,2,0,1,1,1,0,2,0,1,0,0,0,0,0,0,1,0,0,1,1,2,1,0,1,0,0,0,1,1,1,1,0,2,1,1,0,1,0,1,0,0,2,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,1,1,0,1,1,1,1,0,0,2,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,2,0,1,0,1,2,1,1,1,0,1,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,1,0,2,2,1,1,2,1,1,0,0,0,0,1,1,2,1,0,0,0,1,0,1,0,2,1,0,0,0,0,0,2,2,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,2,1,1,1,2,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,2,0,1,1,0,0,2,0,0,0,0,0,2,1,0,1,0,0,0,0,2,1,0,0,0,0,0,1,1,1,1,0,1,0,0,2,0,2,1,1,0,0,0,0,0,1,1,0,1,0,2,0,0,1,1,0,1,1,1,2,0,0,2,0,1,0,0,0,1,0,0,0,2,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,1,0,0,1,2,0,2,0,0,2,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,1,2,0,1,0,1,2,1,0,0,0,1,0,2,0,0,1,2,1,0,0,2,0,0,0,1,2,0,0,0,2,0,1,2,1,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,2,0,1,0,1,0,1,2,0,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,2,0,0,1,1,0,0,0,2,0,2,2,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,2,0,1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,2,0,2,0,0,0,0,0,1,0,0,2,0,0,0,1,1,1,2,0,1,0,2,1,1,0,0,2,0,0,0,0,0,1,0,0,0,0 2,0,0,1,0,0,0,1,2,1,0,0,1,2,1,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,2,0,0,0,0,2,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,0,2,1,0,0,0,2,0,0,2,1,1,0,0,2,1,1,0,0,1,1,0,1,1,0,0,0,1,1,1,1,1,1,1,1,0,0,0,1,1,0,1,0,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,2,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,1,2,1,1,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,1,2,1,0,0,0,0,1,1,0,0,2,0,0,2,1,0,0,0,2,0,0,0,0,1,2,1,0,2,1,1,0,2,1,1,0,0,0,0,2,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,1,0,0,1,0,0,2,0,1,0,0,2,2,2,1,1,2,0,0,0,2,1,0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,1,1,1,1,1,1,0,1,0,1,1,0,2,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,2,2,0,1,2,0,0,2,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,1,0,0,1,1,1,0,2,1,0,0,0,0,0,1,0,2,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,2,0,0,2,0,2,0,2,0,2,2,1,0,0,0,0,1,0,1,0,1,0,1,0,0,1,2,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,2,0,2,1,0,0,0,0,0,1,0,1,2,0,0,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,2,0,1,1,0,2,0,2,1,1,0,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,2,1,1,1,2,0,0,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,2,0,1,1,1,1,0,0,0,1,0,2,0,0,0,0,1,1,0,2,1,1,1,2,1,2,1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0,2,1,0,0,1,0,0,0,2,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,2,0,1,0,1,2,2,0,1,0,2,0,0,1,0,1,1,1,0,0,1,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,1,0,0,0,0,1,0,1,2,0,2,1,0,0,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0,1,2,1,1,1,1,1,0,0,0,1,0,0,0,0,1,1,0,1,2,0,1,0,0,0,1,0,0,2,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,2,0,1,1,0,2,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,2,1,2,0,1,0,2,0,0,1,0,0,2,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,2,0,0,2,0,1,1,1,0,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,1,0 1,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0,1,1,0,2,0,0,0,1,1,1,1,0,2,2,1,0,0,2,1,1,2,2,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,1,2,1,0,0,0,1,1,0,0,1,1,1,0,2,0,1,1,0,2,2,2,0,1,1,2,1,1,0,0,1,0,0,1,0,1,0,0,2,1,0,0,1,1,1,0,1,0,1,2,1,0,0,0,1,2,2,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,1,1,1,1,2,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,2,0,1,1,0,0,0,2,0,0,1,1,0,1,0,2,1,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,1,1,0,2,0,2,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,1,1,2,0,1,0,0,1,0,1,1,1,0,0,1,1,2,0,0,1,1,0,2,1,0,0,0,0,2,1,0,0,0,1,0,1,1,0,0,0,0,0,2,1,0,1,2,1,1,2,1,1,2,1,1,0,0,0,2,0,0,2,2,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,1,1,1,0,1,0,0,1,1,2,0,0,1,0,1,1,2,0,2,0,0,1,0,1,0,1,1,0,0,0,0,0,2,1,0,1,1,1,1,0,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,1,1,2,0,1,1,0,1,0,1,2,1,1,0,1,1,0,1,2,0,2,0,0,0,1,0,1,0,1,1,0,2,1,0,0,0,0,1,2,0,0,2,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,1,2,1,0,0,0,2,0,0,1,1,1,0,0,0,0,0,0,0,2,0,0,0,1,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0,1,2,1,0,1,0,1,0,0,0,0,0,2,0,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,1,2,1,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,1,1,1,0,1,2,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,2,0,1,1,0,1,0,1,1,2,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,2,1,0,0,1,0,1,0,0,2,1,0,1,0,0,1,0,0,1,0,0,0,0,1,1,1,1,2,2,0,0,1,0,1,0,1,0,0,0,1,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,1,2,1,0,2,0,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,2,0,0,0,0,1,2,1,0,1,0,0,2,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,2,2,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,1,0,0,2,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,2,0,1,2,1,0,0,0,0,1,2,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,0,1,2,1,0,0,0,0,1,1,1,1,1,1,0,1,2,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,2,0,1,1,0,0,1,0,2,0,2,0,1,0,0,1,0,0,1,1,1,0,0,1,1,1,1,0,2,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0 0,0,1,0,0,0,0,1,1,1,0,2,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,2,0,0,0,0,1,0,1,0,2,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,1,2,2,0,0,0,0,1,1,0,0,1,0,0,2,0,1,0,0,1,0,1,0,2,0,0,1,0,0,0,2,0,1,0,1,1,0,0,0,0,1,0,0,0,2,0,0,0,0,1,2,1,0,1,0,0,0,0,2,0,0,0,0,2,1,2,0,0,1,1,1,1,1,0,1,1,0,1,0,2,1,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,1,1,1,0,0,1,0,0,1,0,2,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,1,0,1,2,0,1,1,1,1,1,0,1,2,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,1,0,1,0,0,1,1,0,2,0,0,0,1,1,1,1,0,1,0,0,0,0,2,2,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,1,2,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0,1,1,2,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,2,0,0,0,0,1,1,0,1,2,1,0,2,1,1,2,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,1,0,1,1,0,2,1,0,2,0,1,0,0,0,1,0,1,1,0,0,0,2,0,1,0,0,0,0,0,1,2,0,1,1,1,1,1,0,1,0,1,0,0,2,0,0,0,0,0,0,1,0,2,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,1,2,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,1,0,1,1,0,1,0,1,1,2,1,1,0,0,1,1,1,1,0,1,0,0,1,0,2,1,0,1,0,2,1,0,0,0,2,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,2,1,1,0,2,1,1,0,0,0,0,0,0,0,1,1,0,2,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,2,1,1,1,0,1,0,0,1,0,1,0,0,0,1,2,0,0,0,0,0,1,1,2,0,1,1,2,0,1,0,0,0,1,0,0,1,0,1,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,1,2,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,2,0,1,2,0,1,1,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,2,0,0,2,0,1,1,0,0,0,0,0,0,0,1,1,1,1,1,0,0,1,0,1,2,0,1,0,1,0,1,1,0,1,2,1,0,0,1,1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,2,2,1,1,2,1,0,0,1,1,0,0,0,0,2,0,1,0,0,0,0,1,0,0,1,2,0,0,0,1,0,0,2,0,2,1,0,0,2,1,1,1,1,1,0,1,0,2,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,1,0,2,0,2,0,0,1,1,0,0,1,0,1,2,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,2,2,1,1,2,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,1,1,0 1,0,2,2,1,1,0,0,0,1,0,1,1,1,2,0,1,1,0,0,0,0,1,0,1,1,0,0,0,1,2,0,1,0,1,0,0,1,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,1,0,1,0,1,1,2,0,1,1,0,1,1,1,0,0,1,1,1,0,1,0,2,1,0,0,0,0,0,1,2,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,2,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,2,1,0,1,0,1,1,1,0,1,1,0,1,2,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,2,0,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0,0,2,1,1,1,1,0,1,0,0,0,0,2,0,0,1,0,0,0,2,1,0,0,0,0,1,2,1,0,0,1,0,1,0,1,0,0,1,1,2,0,1,0,2,0,0,2,0,1,1,2,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,2,1,0,1,0,1,1,1,1,1,1,0,0,2,0,1,0,0,0,0,0,1,1,0,0,0,0,1,2,1,0,0,0,1,1,2,0,0,2,0,0,1,1,1,1,1,1,1,1,0,1,2,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,1,2,0,0,1,0,1,0,1,0,0,1,0,1,0,1,1,2,0,1,2,1,0,0,1,0,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,2,1,0,2,0,1,0,1,1,0,0,1,0,1,1,0,2,0,0,0,2,1,1,1,0,0,1,0,1,0,0,2,1,1,0,0,0,0,0,1,1,0,2,0,0,0,1,0,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,0,0,2,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,0,1,1,1,0,2,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,2,1,1,0,0,0,1,2,2,1,2,1,0,0,1,1,0,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,1,0,2,2,1,2,0,0,1,1,1,1,1,1,1,0,2,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,2,0,0,1,1,0,0,0,1,0,2,1,1,1,0,0,1,1,0,1,0,0,0,0,2,0,0,1,0,0,2,1,0,1,1,1,0,1,0,1,0,0,0,0,0,1,1,2,1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,1,0,2,0,1,0,1,1,1,0,0,0,1,0,2,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,2,0,0,1,0,0,1,2,0,1,0,1,0,1,0,2,0,1,0,1,2,0,0,1,0,0,2,0,0,1,0,2,2,1,0,1,0,2,0,0,0,0,0,2,0,1,0,0,0,1,0,1,0,1,2,1,1,0,2,0,1,0,0,0,0,1,1,1,1,1,1,0,2,1,0,0,1,0,1,0,1,1,0,1,1,0,1,2,1,0,0,0,0,0,1,0,2,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,2,1,0,0,0,0,1,1,0,0,0,2,1,0,0,0,0,1,1,0,0,1,2,2,1,0,0,0,1,0,0,1,0,0,0,1,1,0,2,0,0,0,1,0,0,2,0,2,0,0,0,2,0,2,0,0,0,2,0,2,1,1,0,0,2,2,0,0,0,0,0,1,0,0,1,0,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,1,1,1,0,0,1,0,0,0,1,1,1,0,2,0,0,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,2,0,2,0,0 1,0,2,0,1,0,0,0,1,1,1,2,1,0,0,0,2,2,1,0,0,0,0,0,0,0,2,1,0,2,0,0,1,1,1,0,2,1,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,2,0,1,0,0,0,0,0,0,0,1,1,1,1,1,0,0,2,0,2,0,0,0,1,0,1,0,0,1,0,0,2,1,0,0,0,0,0,1,0,2,0,1,0,0,0,1,0,2,1,0,0,1,0,1,0,0,2,1,1,0,0,0,2,0,1,0,1,0,0,1,0,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,2,0,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,2,0,0,1,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,2,0,0,1,0,1,0,2,1,0,0,1,0,0,0,0,1,0,1,0,1,1,1,0,0,1,0,1,0,2,0,1,0,0,1,0,1,2,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,2,1,0,1,0,1,2,0,2,1,1,1,0,0,1,1,1,0,1,0,2,2,0,0,0,0,1,1,1,1,1,0,1,0,0,0,1,1,0,2,0,0,0,0,0,2,0,1,0,0,0,1,1,2,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,2,2,0,1,1,0,0,0,0,0,1,0,1,0,1,2,0,0,1,0,1,0,2,0,0,0,0,0,1,0,1,0,1,0,2,1,0,0,0,2,1,0,1,0,0,0,1,2,0,0,1,1,2,0,1,0,0,1,1,1,0,0,0,1,0,0,0,2,0,2,0,1,0,0,1,0,0,1,1,0,1,0,1,0,2,1,1,1,1,0,2,1,0,0,0,2,1,0,0,0,2,0,0,2,0,0,0,1,1,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,2,1,1,0,0,1,1,0,1,0,0,1,2,2,0,2,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,2,2,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1,1,1,2,1,0,0,0,0,2,0,0,0,0,1,0,0,0,1,1,1,1,0,2,2,1,0,0,1,1,1,1,0,2,0,0,1,1,0,2,0,1,0,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,1,0,1,2,0,0,1,0,2,1,1,1,0,0,1,0,0,2,0,0,1,0,0,2,1,2,0,1,1,1,0,0,2,1,0,0,0,0,0,1,1,2,1,2,1,2,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,1,2,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,2,0,1,1,1,1,0,2,0,1,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,2,1,0,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,1,1,1,1,0,0,2,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,2,0,1,1,0,0,2,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,2,1,0,1,1,2,1,1,0,0,0,1,0,0,1,1,2,1,0,0,1,0,2,0,2,0,1,2,2,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,2,1,0,1,0,1,0,1,0,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,2,1,0,1,0,1,2,0,1,0,0,1,0,0,1,0,2,1,0,1,0,1,1,0,2,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0 0,0,1,0,1,1,0,0,0,0,1,1,0,2,1,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,1,1,2,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0,0,2,0,0,1,1,0,1,0,0,0,0,1,0,0,1,1,1,1,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,2,0,1,0,0,2,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,2,0,1,1,2,1,0,0,0,1,1,2,1,1,1,0,2,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,2,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,1,2,0,0,0,2,1,0,0,0,1,1,0,2,0,0,0,0,1,1,1,1,0,2,0,1,2,1,1,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,2,1,0,2,0,1,0,0,0,0,1,1,2,0,1,2,0,0,1,1,1,0,0,0,0,2,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,1,1,2,1,0,0,0,0,2,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,2,0,1,1,0,0,1,0,1,0,0,0,0,2,0,2,0,0,2,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,0,1,2,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,2,2,0,1,0,0,0,0,1,1,0,0,0,1,1,2,0,0,0,0,0,2,2,0,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,2,1,0,1,1,0,0,1,2,1,0,0,0,1,0,1,0,1,0,0,1,0,0,2,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,2,0,0,2,0,0,0,1,1,2,1,0,0,0,0,0,0,1,0,1,0,0,1,1,2,1,1,1,0,0,0,2,2,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,2,0,1,0,2,1,0,0,0,0,2,2,0,1,0,0,1,0,0,1,1,1,0,1,0,0,2,2,0,0,0,0,2,0,0,0,0,2,0,1,0,1,0,0,0,0,1,2,0,0,1,1,0,0,1,1,1,0,1,0,1,0,2,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,0,0,1,2,1,0,2,0,0,0,2,1,1,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,1,2,0,2,1,0,1,0,1,0,2,1,0,2,0,1,2,1,1,0,0,0,0,0,0,1,1,1,1,0,1,0,2,1,0,0,0,1,2,1,1,0,0,0,2,1,1,0,0,0,0,0,1,0,2,1,0,2,0,0,0,0,0,0,0,0,2,1,1,1,0,0,0,1,2,0,0,1,2,2,0,0,1,2,1,0,0,0,1,0,1,1,1,0,1,0,0,0,0,2,0,0,0,0,1,2,1,0,2,1,1,1,0,0,0,1,1,1,2,2,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,2,0,0,2,1,0,1,1,1,0,0,0,2,0,0,1,0,0,1,1,0,0,2,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,0,2,2,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,2,0,0,1,0,0,0,0,1,0,0,2,1,1,0,1,0,0,1,0,2,0,0,1,0,0,2,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0 1,0,0,1,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,1,0,2,1,0,0,0,1,0,2,1,0,0,0,0,0,0,2,1,2,1,0,0,1,0,0,0,0,0,0,2,1,0,1,0,0,1,1,2,2,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,2,2,0,0,0,0,0,1,0,1,1,2,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,1,1,1,0,1,1,2,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,1,1,1,1,1,0,1,0,1,0,0,2,1,1,2,0,0,1,0,0,0,0,2,0,0,1,0,0,1,0,1,0,1,1,1,1,0,1,0,0,2,1,1,0,1,0,0,0,1,1,0,0,0,1,0,2,0,0,2,1,2,0,2,2,1,0,1,1,0,0,0,2,0,2,2,2,0,1,1,0,0,1,0,0,1,1,0,1,1,1,2,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,2,1,1,1,0,0,1,0,0,1,0,1,1,0,1,2,0,0,2,0,1,1,2,0,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,2,1,1,0,2,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,1,1,1,1,1,0,0,1,2,0,0,0,1,1,2,2,1,1,1,0,0,0,2,0,1,0,0,1,1,0,0,0,1,2,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0,2,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,2,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,1,1,0,2,0,0,0,0,1,0,0,2,0,1,0,2,0,0,1,2,0,0,0,0,1,1,1,1,0,0,0,0,0,1,2,0,0,0,0,1,0,1,1,1,0,0,0,1,0,2,0,0,0,1,0,1,0,2,2,0,1,0,0,1,1,1,0,2,1,1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,2,0,0,1,1,0,1,0,2,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,2,0,0,0,0,0,0,0,0,1,1,0,2,0,2,0,1,1,0,0,0,0,1,0,0,0,0,2,0,1,0,2,2,0,1,1,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,2,2,1,0,0,1,0,0,1,1,1,1,0,0,1,1,2,0,1,1,1,1,1,0,2,0,0,2,1,1,1,1,1,1,2,1,1,0,0,2,0,0,0,0,1,1,0,0,0,0,1,0,0,2,0,0,1,0,0,1,0,0,1,0,0,0,0,1,2,1,0,0,1,0,0,0,0,0,0,0,0,1,2,1,0,1,0,0,0,2,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,2,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0,2,2,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,2,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0,2,1,0,0,1,0,0,0,0,1,0,0,0,2,0,1,0,0,1,1,0,1,0,0,0,2,1,1,0,0,0,1,1,0,1,0,0,2,0,0,1,1,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0 2,0,0,2,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,2,0,1,1,2,2,0,0,2,0,1,1,1,0,1,1,0,0,1,1,1,2,0,0,1,0,2,0,1,0,0,0,1,0,0,0,2,0,0,0,0,1,1,0,1,2,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,2,0,0,1,0,1,1,0,0,1,0,0,0,0,1,2,0,0,0,0,1,1,2,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,2,1,0,0,1,0,0,0,1,0,0,1,0,1,0,2,0,0,0,0,0,0,1,0,2,0,1,2,1,0,0,0,1,0,0,1,0,1,0,1,1,0,1,0,1,1,0,2,0,0,1,0,1,1,1,2,0,0,1,0,2,0,0,1,0,0,0,0,0,0,2,0,1,1,1,1,2,1,1,1,0,0,1,1,0,1,0,0,1,2,1,0,0,0,2,0,1,0,2,1,1,2,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,2,0,1,2,2,0,0,2,0,1,0,0,0,0,0,2,1,1,1,1,0,0,0,0,1,1,1,0,1,0,2,0,0,0,0,0,0,0,1,2,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,2,0,0,1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,1,1,1,1,1,0,1,1,1,0,0,0,2,0,1,1,1,1,2,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,2,1,2,1,0,0,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,2,0,1,1,0,0,0,0,1,2,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,2,1,1,1,0,0,1,1,0,0,1,2,1,0,0,1,0,1,0,0,0,0,0,0,0,2,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,1,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,0,0,1,0,1,2,1,0,0,0,0,1,1,0,0,1,1,1,1,1,1,2,0,0,1,1,1,1,0,1,0,0,0,1,1,2,1,1,0,0,0,0,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,2,0,0,0,0,1,0,0,1,0,2,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,2,1,1,1,1,1,1,2,0,0,0,0,1,1,0,1,2,0,1,0,0,1,2,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,2,1,1,1,0,1,0,1,0,2,1,1,0,0,1,2,1,0,0,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,1,1,0,0,2,0,1,2,0,0,0,0,1,2,1,0,2,0,2,2,0,2,1,1,1,0,1,1,0,2,0,1,0,1,1,2,0,1,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,1,1,1,1,0,1,0,0,2,0,1,0,0,1,0,1,0,2,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,2,0,0,1,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,1,1,1,2,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,1,1,0,0,0,0,1,1,0,0,2,0,1,1,0,1,1,1,2,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,1,1,0 0,0,2,1,0,0,0,0,1,2,2,1,1,2,1,1,0,1,0,0,0,1,0,0,2,1,1,1,0,1,1,0,1,2,0,0,2,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,2,1,0,0,0,0,1,1,0,1,0,1,1,1,2,2,0,1,1,1,1,0,0,0,0,0,0,1,1,0,2,0,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,2,2,0,2,1,1,1,0,0,0,0,1,0,2,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,2,0,1,0,0,0,1,1,2,2,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,2,0,1,0,1,0,1,0,1,2,0,0,0,2,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0,1,2,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,2,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,2,1,1,0,0,0,0,1,0,0,1,0,0,0,1,1,2,0,0,0,1,1,1,0,0,0,1,0,2,2,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,1,1,0,0,2,1,0,0,2,0,0,1,1,1,0,0,0,2,1,1,1,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,1,0,2,0,2,0,0,1,1,0,1,0,1,0,1,0,1,1,1,0,1,1,2,1,1,1,0,1,0,1,1,1,0,0,1,2,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,1,2,0,0,1,2,0,2,0,0,0,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,2,2,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,2,1,0,1,0,1,1,0,1,0,0,1,0,1,0,2,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0,2,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,0,1,0,2,0,0,1,1,0,0,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0,2,0,0,1,0,2,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,1,1,1,1,1,2,0,1,0,0,0,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,2,0,0,1,2,0,0,0,1,1,1,1,2,1,1,1,0,1,1,0,1,0,0,1,1,0,0,2,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,2,0,0,0,1,1,0,0,0,0,1,2,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,1,1,1,0,1,2,1,1,2,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,2,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,1,1,1,2,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,1,0,0,0,0,0,0,1,2,1,0,0,0,2,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,2,1,0,0,0 0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,1,0,1,2,0,1,0,0,0,0,1,0,0,1,1,1,0,2,0,0,0,1,0,2,0,1,1,1,0,0,0,1,0,0,0,1,1,0,1,1,2,0,0,0,0,1,1,0,1,1,2,0,0,0,0,1,1,2,0,1,0,1,0,0,0,1,0,0,1,0,0,2,0,0,2,0,1,2,0,0,0,0,1,1,2,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,2,1,1,0,0,1,0,1,1,2,0,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,1,1,2,0,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0,1,0,2,0,0,1,1,0,2,0,1,1,0,2,2,0,2,1,0,0,1,0,0,1,1,1,0,2,0,0,1,1,0,0,0,0,2,2,0,2,2,1,0,0,2,0,2,0,0,0,1,2,0,2,1,2,0,0,2,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,2,1,1,2,1,0,1,1,0,2,0,1,0,0,2,0,1,1,0,0,1,2,1,1,0,0,0,0,0,2,2,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,1,2,2,1,1,0,0,2,1,0,0,2,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,2,1,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,2,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,2,2,1,2,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,2,1,0,2,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,2,1,2,0,0,0,0,0,2,2,1,0,0,2,1,0,1,0,0,0,1,0,1,0,0,0,2,0,2,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,2,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,2,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,2,0,2,2,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,2,2,1,2,0,2,2,0,0,0,0,0,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,2,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0,0,1,1,2,1,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,1,1,0,1,2,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,1,1,0,2,0,2,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,1,2,1,2,0,0,1,0,0,0,1,0,2,0,1,0,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,2,1,2,1,1,1,1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,2,1,0,0,0,0,0,2,0,0,2,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,2,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,2,0,1,0,1,1,1,0,0,1,2,1,0,1,0,2,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,2,0,1,0,1,0,0,0,0,2,1,0,0,1,0,2,0,1,1,1,0,0,0,1,0,0,0,2,0,0,2,0,0,1,0,0,1,0,1,1,0,0,0,0,1,2,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0 0,0,2,1,1,0,1,0,0,1,2,0,0,2,2,1,1,0,1,0,0,0,1,1,2,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,2,1,1,1,0,1,1,0,0,0,2,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,2,0,1,0,1,1,1,1,0,0,0,0,0,2,1,0,0,0,0,1,0,2,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,2,0,0,1,0,0,1,0,1,0,1,0,1,0,2,1,0,1,0,0,0,1,2,1,1,1,1,0,0,1,0,2,0,2,0,1,0,2,1,1,0,1,1,0,0,1,0,0,2,0,0,0,0,0,0,1,1,1,0,2,0,0,0,0,0,0,0,0,0,2,0,1,1,2,2,1,1,1,0,1,1,0,1,0,0,1,1,1,1,1,1,0,1,0,0,2,2,0,0,1,0,0,1,1,1,1,0,0,1,2,1,0,0,0,1,1,0,1,0,1,0,1,2,0,0,1,0,0,0,0,0,1,2,2,0,1,1,1,0,0,0,1,0,1,0,0,2,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,2,2,0,2,0,1,0,2,1,2,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,2,2,1,0,2,1,0,0,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,2,1,0,0,0,0,1,0,0,0,1,0,0,2,0,1,0,0,2,1,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,1,0,1,1,1,1,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,2,0,0,1,2,1,0,0,0,2,0,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0,2,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,2,1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,2,0,1,2,0,0,0,0,2,1,0,1,1,1,2,1,1,1,1,1,0,1,0,0,0,1,0,1,0,1,1,1,0,2,1,0,2,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,1,1,1,0,2,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0,2,2,0,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,1,1,1,2,0,0,0,0,0,0,2,2,1,1,1,0,2,1,0,0,0,0,1,0,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,1,2,0,0,1,0,2,0,1,0,0,0,0,1,0,0,0,2,0,1,1,2,0,0,1,0,0,1,1,0,1,0,1,2,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,1,0,2,1,1,1,0,0,2,1,0,0,1,0,0,0,1,2,0,1,1,0,2,1,0,0,1,1,0,1,0,1,0,1,0,0,1,1,2,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,2,2,1,0,0,0,0,0,1,0,1,2,1,1,1,2,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,2,0,2,0,1,1,1,1,1,0,0,0,0,0,0,1,2,1,2,1,0,0,1,0,2,0,0,1,1,0,1,0,1,1,0,0,1,0,0,2,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,2,0,0,2,0 1,0,0,1,1,0,0,0,0,2,1,0,0,2,0,0,0,0,0,0,0,0,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,2,2,0,2,2,0,1,1,1,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,2,0,0,0,1,1,0,2,0,0,1,1,0,1,1,0,1,0,0,0,2,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,2,1,0,2,1,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,2,1,1,0,1,1,0,0,0,1,2,0,1,2,0,0,0,0,0,1,2,0,0,1,0,1,1,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,1,2,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0,2,2,0,0,1,0,1,1,0,2,1,1,0,1,0,0,0,1,0,1,1,1,1,1,2,2,0,0,0,0,1,2,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,2,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,2,0,1,0,1,0,0,2,0,1,1,0,1,0,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,1,2,1,2,1,1,2,0,1,1,0,1,1,1,0,0,0,1,0,2,0,0,1,0,0,1,0,0,1,1,1,1,0,1,0,1,0,2,0,2,1,1,0,0,0,0,1,0,2,0,2,1,1,0,1,0,1,0,1,0,1,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,2,2,0,1,0,0,0,2,0,1,0,1,1,0,1,0,0,1,1,2,0,0,0,1,0,0,0,0,1,1,2,0,0,0,0,0,2,1,0,0,1,0,1,0,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,1,2,1,0,1,2,1,1,1,2,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,2,0,1,1,0,1,2,0,1,0,2,0,1,1,0,1,1,0,2,0,1,1,0,0,1,0,0,0,0,0,0,2,2,0,1,0,0,1,0,2,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0,2,1,1,1,0,0,0,0,0,1,0,2,0,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,1,1,0,2,0,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,2,1,1,0,1,0,0,1,1,2,0,0,1,0,0,1,1,0,0,0,0,2,1,0,0,1,0,0,0,0,2,0,1,0,1,0,0,0,0,1,0,2,1,1,0,1,0,1,2,0,0,0,1,0,0,2,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,2,0,0,1,1,1,0,0,1,0,0,1,2,2,0,1,1,1,0,0,1,1,0,0,0,1,1,2,0,0,1,0,0,0,0,2,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,2,0,1,0,1,0,0,0,0,1,1,0,0,0,1,1,0,1,1,1,2,1,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,0,1,0,2,0,0,1,2,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,2,1,0,1,0,0,1,0,1,2,0,1,2,0,0,1,0,0,0,0,2,0,0,0,2,0,0,0,0,0,2,0,1,0,0,1,1,1,1,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0 1,0,0,0,0,0,1,0,0,1,1,0,0,2,0,0,0,0,2,0,0,1,1,1,2,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,2,0,0,0,0,0,2,0,0,2,0,1,0,0,2,1,1,1,2,0,0,1,0,1,2,0,0,0,0,2,0,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,1,1,0,1,0,1,1,0,2,0,0,1,0,0,0,1,0,1,1,2,0,1,2,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,1,0,1,2,0,0,0,0,2,0,1,1,0,0,0,2,1,0,1,1,1,1,0,0,0,1,1,0,1,0,1,1,1,0,1,0,2,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,1,1,0,0,1,0,1,1,1,2,1,0,0,2,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,2,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,1,2,1,0,1,0,0,1,1,0,0,0,0,1,2,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,1,1,0,1,1,2,0,1,2,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,1,1,0,0,1,1,1,0,2,0,1,1,0,0,0,0,1,0,0,0,0,1,2,0,0,0,0,0,0,1,0,1,1,1,0,0,2,0,0,2,2,0,2,1,0,0,1,1,0,0,0,1,2,1,0,0,0,0,1,0,1,1,2,0,0,0,0,0,0,2,2,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,1,2,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,2,1,1,0,1,0,1,0,1,0,0,1,1,1,2,0,0,2,1,2,2,0,0,1,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,2,0,2,0,0,0,1,2,1,0,0,1,1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,2,0,0,1,0,0,2,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,1,2,0,0,0,0,1,1,2,1,0,1,0,0,0,0,0,0,2,1,0,2,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,2,1,0,0,1,0,2,0,1,0,1,0,1,0,1,0,1,1,1,0,1,2,1,1,0,0,0,1,0,1,0,1,0,0,1,1,0,2,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,2,0,0,0,2,1,0,2,0,1,1,0,2,1,0,0,0,0,1,1,1,2,1,0,1,1,0,0,2,1,0,0,2,0,0,1,2,1,1,0,2,2,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,2,0,1,0,0,1,0,1,2,0,1,1,1,0,1,1,1,1,2,0,0,0,0,0,1,1,2,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,2,0,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,2,1,0,0,0,0,2,0,0,1,2,0,1,2,0,2,0,0,0,2,1,1,0,0,1,0,0,0,0,1,1,1,2,0,1,0,1,0,1,0,1,1,0,2,1,1,1,1,2,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,0,1,2,0,2,0,0,2,0,0,1,0,1,2,0,0,0,0,0,0,1,0,0,2,0,2,0,1,1,0,0,1,0,0,0,1,1,2,1,0,0,1,1,2,2,0,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0 1,0,1,1,1,0,0,1,0,2,1,0,0,1,2,1,0,0,0,0,0,1,1,0,1,0,2,2,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,1,0,1,1,2,0,0,0,0,0,0,2,0,1,1,1,2,1,0,1,1,0,1,1,0,0,0,0,2,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,2,1,2,0,1,0,0,1,1,1,0,0,1,1,2,0,1,1,1,1,0,0,0,0,0,0,1,1,0,1,1,0,2,0,0,0,0,2,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,2,2,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,2,0,1,1,0,1,0,1,2,0,0,2,0,1,2,0,0,1,0,2,0,0,0,0,0,2,2,0,0,1,1,0,0,1,2,0,0,1,0,1,0,0,0,0,1,0,2,0,0,0,0,2,1,1,0,0,2,0,0,1,0,0,0,2,0,0,0,0,1,0,0,1,1,0,1,1,0,2,1,0,1,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,1,1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,1,0,1,0,0,2,0,1,1,2,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,2,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,2,0,1,0,2,1,1,2,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0,2,0,2,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,2,0,0,1,0,0,1,1,1,1,2,1,1,0,0,1,1,1,0,1,0,0,0,0,2,1,0,2,0,0,0,2,0,1,0,0,0,1,0,0,0,1,0,1,0,1,0,2,0,0,0,0,0,2,0,0,1,0,0,0,1,0,1,1,0,0,1,2,0,0,0,0,0,2,0,0,1,0,1,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,1,1,1,1,0,0,1,0,0,0,0,2,2,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,2,1,1,1,0,1,0,1,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0,1,2,1,0,2,1,1,0,1,0,0,1,1,0,2,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,2,2,1,0,1,1,2,1,0,0,0,0,0,1,1,1,1,1,0,0,1,0,0,0,2,0,0,0,1,0,1,1,1,0,1,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,2,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,2,0,1,1,0,2,0,0,1,0,0,1,0,0,2,2,0,0,0,2,0,2,1,0,0,2,1,2,1,0,0,1,1,1,0,1,2,0,0,1,0,0,0,0,0,0,1,1,1,1,2,2,1,0,0,0,0,1,2,0,0,1,2,1,0,1,2,0,1,1,2,1,1,0,0,2,0,0,0,1,2,1,1,0,0,0,0,0,1,1,0,0,0,1,0,1,2,0,0,1,0,1,1,1,0,0,1,0,0,0,1,1,0,2,0,0,0,2,0,1,1,0,0,0,1,2,0,0,0,2,1,1,2,0,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0,1,1,1,2,0,1,1,0,2,0,0,1,1,0,0,0,1,2,0,1,0,0,1,1,1,0,1,1,0,1,2,1,2,0,0,1,0,0,0,0,1,1,0,0,1,0,2,0,1,0,0,0,0,2,2,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,1,1,0,2,1,0,0,0 0,0,1,2,0,0,1,0,1,2,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,2,0,0,1,2,0,1,1,1,0,2,0,1,0,0,1,0,1,0,2,2,1,0,0,0,1,0,2,1,0,1,0,1,1,0,2,1,1,2,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,2,0,0,1,1,1,0,1,2,1,1,0,0,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,2,1,1,1,0,0,1,0,0,1,0,1,2,1,0,0,1,0,0,0,0,1,0,1,1,2,0,1,0,1,1,1,1,1,0,2,0,0,0,1,1,0,1,0,0,2,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,2,0,0,2,1,0,1,2,0,1,0,2,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,2,0,1,1,0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,2,1,1,0,0,0,1,2,0,0,0,1,1,1,1,0,1,0,1,1,2,1,0,0,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0,2,1,1,1,0,0,1,0,0,0,0,2,1,0,0,2,1,1,0,0,0,0,2,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,2,1,0,0,0,0,0,1,0,0,0,0,1,0,2,1,1,2,0,0,2,0,0,0,0,1,1,0,2,0,2,0,0,1,0,0,1,1,1,1,1,1,0,0,0,2,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,2,2,2,1,0,1,0,0,0,0,0,0,1,0,0,0,1,2,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0,2,1,1,1,0,1,0,1,0,0,2,1,0,0,1,0,0,0,1,1,0,0,1,0,0,2,1,0,1,0,1,0,1,0,0,0,1,1,0,0,2,0,0,1,0,0,0,0,0,1,2,0,1,1,2,1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,2,1,1,0,1,2,0,1,0,0,1,1,2,0,1,0,1,0,1,1,0,0,0,2,0,1,0,0,0,0,0,1,1,0,1,2,1,0,0,2,2,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,2,0,1,2,1,0,0,0,2,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0,1,0,0,2,0,2,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0,1,2,0,0,2,2,0,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,1,1,1,1,1,1,0,1,1,0,0,0,2,1,0,1,0,1,0,0,1,1,1,0,0,1,2,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,2,1,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,0,0,2,1,0,0,1,0,1,1,1,0,1,0,2,0,0,0,0,1,1,0,2,2,0,1,0,1,0,1,0,1,2,1,0,0,1,0,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0,1,0,1,2,0,0,1,0,1,0,0,0,1,0,0,2,0,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,2,0,1,0,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0 2,0,2,1,1,1,1,0,0,0,1,1,0,1,2,0,0,2,0,0,0,0,1,0,0,1,1,2,0,1,1,1,2,1,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,1,0,1,1,1,1,1,2,0,0,1,1,0,0,0,0,0,2,1,1,2,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0,2,1,1,0,1,0,0,0,0,0,1,1,1,0,1,0,2,0,0,1,0,0,1,2,0,0,0,1,2,2,1,0,0,2,0,2,0,1,1,0,0,1,1,0,1,0,0,0,1,2,1,0,1,0,2,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0,2,1,0,0,0,1,0,2,1,0,0,1,1,0,0,0,1,0,0,0,1,0,1,2,0,0,0,0,2,0,0,1,0,0,1,1,0,1,0,1,0,1,2,1,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,2,1,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,1,2,0,1,0,0,0,0,2,1,0,0,2,1,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,2,2,0,0,1,0,1,0,0,0,1,0,0,1,0,1,1,0,1,1,1,0,2,0,1,0,1,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,1,1,0,0,2,0,1,1,0,2,1,0,2,1,1,0,1,1,0,1,1,0,0,1,1,1,0,0,2,0,1,0,0,0,0,0,1,1,1,1,0,0,1,0,1,2,0,1,0,1,1,0,1,0,1,1,1,1,0,1,0,1,0,0,2,0,0,0,0,0,1,1,0,0,2,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,1,0,1,0,2,0,0,0,1,0,0,1,2,2,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,2,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,2,0,1,0,1,1,0,1,1,0,1,1,0,0,2,0,2,0,1,0,0,1,1,0,0,1,0,1,0,0,2,1,2,1,2,1,0,1,0,0,0,0,0,2,1,1,2,1,0,1,1,1,1,0,0,1,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,1,1,0,2,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,2,1,0,2,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,2,0,1,0,0,1,1,0,1,1,1,1,0,0,2,0,2,0,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1,0,1,0,2,0,1,0,0,0,2,0,0,0,0,0,0,0,1,1,2,0,0,0,1,0,2,1,0,0,0,1,0,1,1,1,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,1,1,0,1,1,1,2,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1,1,0,1,0,2,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,1,0,1,1,1,1,1,1,0,0,0,1,2,0,0,1,0,2,2,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,2,2,0,0,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,2,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,2,1,2,1,1,0,0,1,1,0,2,2,1,0,0,0,1,1,0,0,0,1,1,1,1,0,1,1,0,0,2,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,2,0,1,0,0,1,0,0,2,0,1,1,2,2,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,2,1,0,0,0 1,0,1,1,0,0,1,1,0,2,1,0,0,1,1,0,1,2,1,0,0,0,0,1,1,2,2,2,0,1,1,0,2,0,1,0,1,1,0,1,1,2,0,2,0,1,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1,2,2,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,2,1,1,2,1,0,0,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0,2,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,0,2,0,1,0,1,0,1,2,1,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0,2,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,2,0,1,1,1,0,1,2,0,1,0,2,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0,1,1,1,1,1,1,1,0,2,1,0,1,0,0,0,1,1,0,0,0,1,0,2,1,1,1,1,1,1,0,0,1,1,0,0,0,1,1,1,2,0,0,0,0,2,1,1,0,1,0,0,0,1,2,2,0,0,0,2,0,2,1,0,0,0,0,1,2,0,0,1,0,0,2,1,0,0,1,0,0,2,0,0,1,1,0,0,0,0,0,1,1,1,2,0,0,2,0,0,0,0,0,1,0,0,0,0,1,0,0,2,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,2,1,2,1,0,0,0,1,1,1,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,2,1,1,2,1,0,0,2,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,1,0,1,1,0,0,2,0,2,0,0,0,0,2,1,1,0,1,0,1,0,0,2,1,1,2,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,0,2,0,0,0,0,0,1,0,0,0,2,0,0,1,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,1,2,1,1,0,0,1,1,2,0,1,0,1,0,1,0,0,2,0,1,1,0,1,0,0,0,0,1,0,1,2,1,0,1,1,1,1,1,1,0,0,0,0,2,0,0,0,0,0,0,0,2,1,0,1,0,1,1,0,0,0,2,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,2,1,0,0,0,0,1,2,0,0,0,1,0,0,0,1,1,1,2,0,1,2,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,2,0,1,1,1,0,1,0,0,0,1,0,1,2,1,0,2,0,0,0,1,0,2,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,2,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,1,2,1,0,0,0,1,0,1,0,0,2,1,1,0,0,0,1,0,0,2,0,1,0,0,0,0,1,1,0,1,0,1,2,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,1,1,0,0,0,1,2,0,1,1,0,1,1,0,0,0,0,0,0,0,2,1,0,0,0,2,0,0,0,0,1,0,0,1,2,1,0,1,0,1,1,1,0,0,1,1,0,0,2,0,0,0,0,1,1,1,1,0,0,0,0,2,2,1,2,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,2,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0 0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,2,1,0,1,1,0,1,1,0,0,2,0,0,0,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,1,1,0,0,0,1,0,2,0,1,0,0,0,0,2,1,0,1,0,1,0,0,1,0,1,1,1,1,2,1,1,0,1,1,1,0,2,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,2,2,1,1,1,0,0,0,0,2,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,2,0,0,0,1,1,1,1,0,2,0,0,0,0,2,0,1,0,0,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,2,0,2,1,1,0,1,0,2,1,1,2,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,1,1,2,0,0,2,1,0,0,2,1,1,0,1,2,0,2,0,0,0,0,0,0,1,1,0,0,2,1,0,0,0,1,2,0,0,0,0,1,1,1,0,0,0,1,0,2,1,2,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,1,2,0,2,1,0,1,0,0,2,1,0,1,1,2,0,0,1,0,0,0,0,1,0,0,1,0,2,0,1,1,2,0,2,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,2,0,1,1,1,1,1,1,1,2,1,0,0,0,0,2,1,1,0,1,0,0,1,1,0,2,0,2,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,2,0,1,2,1,0,2,0,1,1,0,0,1,1,1,0,1,0,0,0,0,0,2,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,2,0,0,0,1,2,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,2,0,0,1,0,0,0,0,1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,0,2,1,2,0,0,1,0,1,0,1,1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,2,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,1,1,1,2,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,2,2,2,0,0,0,0,0,1,0,2,2,0,1,1,0,0,1,1,1,0,1,0,0,2,0,1,0,2,0,1,0,1,0,0,1,1,1,0,2,0,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0,2,1,1,1,1,0,2,0,0,2,0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,0,1,1,1,0,2,1,0,1,0,1,0,2,0,0,0,0,0,1,0,1,1,0,0,0,0,2,0,0,1,0,1,0,2,0,1,1,1,0,0,0,0,1,0,0,0,1,1,2,0,0,0,1,0,2,1,0,2,1,1,1,0,1,2,0,0,1,0,0,1,1,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,1,0,0,0,2,0,1,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,2,2,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,2,0,0,0 2,0,1,1,1,1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,1,1,2,0,0,1,0,0,0,1,0,2,1,2,0,0,2,0,1,1,2,0,1,0,0,1,1,1,0,0,0,1,1,2,0,0,0,1,0,0,1,1,0,0,1,0,2,1,1,1,0,1,1,0,1,2,0,0,2,1,1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,2,1,1,0,0,0,2,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,1,1,1,0,0,0,2,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,1,0,1,0,1,0,0,2,0,1,0,0,2,2,0,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,1,2,0,1,1,2,0,0,2,1,0,0,1,2,0,1,1,1,0,1,0,1,0,0,0,0,0,1,1,0,2,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,2,0,1,0,1,0,0,0,1,2,0,0,2,2,0,1,1,0,0,0,0,0,1,2,0,0,0,0,2,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,2,1,0,0,2,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,0,2,0,0,0,0,1,0,0,0,1,2,1,0,2,1,1,2,1,1,0,0,1,1,1,0,0,2,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,1,0,1,0,1,1,1,2,0,1,0,0,0,1,0,0,0,0,0,0,1,2,0,2,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,2,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,2,0,0,1,1,0,0,2,0,1,1,0,1,0,1,1,0,2,1,1,1,1,0,0,1,1,1,0,0,2,0,0,1,2,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0,2,2,0,0,1,0,0,0,0,0,1,1,0,1,1,2,0,0,2,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,2,2,0,0,1,0,0,1,1,0,1,0,2,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,2,0,0,1,1,0,2,0,1,0,2,0,0,0,0,0,1,2,1,1,0,2,0,1,1,2,2,0,0,1,0,0,0,2,1,1,0,0,0,1,0,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,2,0,0,0,0,1,0,0,1,0,0,0,1,0,0,2,0,0,0,0,0,0,1,1,2,0,1,1,0,1,0,0,0,1,1,0,1,0,1,1,1,2,0,0,1,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,2,0,0,1,2,0,2,1,1,0,0,0,1,0,1,1,1,2,2,0,0,0,2,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,1,0,1,0,1,0,2,0,0,1,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,1,1,0,2,0,1,0,0,0,2,0,0,1,0,0,1,0,2,0,0,0,0,1,1,0,1,1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,2,0,0,0,1,1,1,0,0,2,0,0,1,0,2,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,2,0,0,1,1,0,1,0,1,2,0,0,0,1,0,1,2,0,2,0,0,1,0,0,0,1,0,0,0,1,0,2,2,1,1,0 1,0,1,1,1,0,0,0,0,0,2,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,2,0,1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,1,2,1,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0,1,1,0,1,0,1,0,2,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,2,0,0,0,0,1,2,0,0,2,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0,1,1,2,0,0,1,0,1,2,0,1,2,1,0,2,1,0,1,2,0,1,0,0,0,1,0,2,0,0,1,2,0,0,1,0,1,1,0,0,0,0,1,0,1,2,2,0,1,1,2,1,1,1,1,1,0,1,1,1,1,0,0,0,2,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,0,2,2,1,0,0,0,1,2,0,1,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0,2,1,1,0,1,1,1,2,0,1,1,1,0,1,2,0,0,1,1,1,2,2,1,1,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,1,2,0,0,1,0,1,0,0,2,1,1,0,0,0,0,2,1,1,0,0,1,1,1,0,0,1,2,0,1,2,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,2,1,2,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,2,0,1,0,0,1,1,2,1,2,0,1,0,0,1,1,1,2,1,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,2,0,0,1,2,1,1,1,0,1,2,0,0,1,1,1,1,1,0,0,0,0,0,2,0,1,0,0,0,0,1,1,0,2,0,0,1,0,0,2,0,1,0,1,1,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,2,0,0,0,0,0,2,2,0,0,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,2,1,0,0,0,1,1,0,1,2,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,1,2,0,1,0,0,0,2,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,2,2,1,0,0,1,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,2,0,1,0,1,2,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,2,1,2,0,0,0,0,1,0,0,0,1,1,0,0,1,1,1,1,0,2,2,1,0,1,0,0,0,2,1,1,2,1,0,0,0,1,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,2,0,1,1,0,0,1,0,0,2,1,1,1,0,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,2,1,0,1,1,0,0,1,1,1,2,1,0,0,0,1,0,0,0,0,2,0,0,1,1,0,2,0,0,0,0,2,2,1,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,2,0,0,1,1,0,1,0,1,2,0,1,1,0,0,0,0,0,1,1,2,0,0,0,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,2,0,1,0,1,0,0,0,1,1,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0 0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,2,0,2,2,1,0,0,0,0,1,1,2,2,1,1,0,0,2,1,1,1,0,0,1,0,0,2,0,1,1,0,0,0,0,0,0,0,0,1,1,2,0,0,0,1,0,0,2,0,0,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,0,1,1,2,1,1,0,0,0,1,0,2,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,2,0,1,1,0,0,0,0,0,0,1,0,2,0,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,1,0,0,0,0,1,1,1,0,2,1,0,0,0,1,1,0,0,1,0,0,0,2,1,0,0,1,0,0,2,0,1,1,2,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,2,0,0,0,2,0,0,1,2,0,0,0,0,1,0,1,1,2,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0,2,0,0,1,2,1,0,1,0,2,0,0,1,0,1,1,2,0,0,0,0,0,1,1,0,0,0,0,1,0,1,2,0,0,0,2,0,1,0,0,0,0,0,1,1,0,2,1,0,0,2,1,1,0,0,0,1,1,0,0,0,1,0,2,1,1,1,0,1,0,1,0,1,0,0,0,0,0,2,1,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,1,1,2,1,1,1,2,0,0,0,0,0,0,2,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,1,1,0,1,2,0,1,1,0,0,0,2,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0,2,0,0,1,0,1,1,0,1,1,1,2,1,0,0,1,2,0,1,2,0,1,1,2,1,1,2,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,2,0,1,0,1,0,0,2,2,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,2,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,2,1,0,0,2,0,0,0,1,2,1,1,0,0,2,0,2,1,1,1,1,2,1,0,0,2,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,2,0,0,1,0,0,1,0,1,0,1,0,2,0,1,0,1,1,1,0,1,0,0,0,2,1,1,0,1,1,0,0,2,0,1,0,1,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,1,1,0,2,1,1,1,0,1,0,0,1,1,0,2,0,0,0,0,1,0,0,1,1,1,1,1,1,0,1,0,2,0,0,0,0,0,0,1,0,2,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,1,0,0,0,2,1,0,0,1,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,0,2,1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,2,0,0,0,2,0,1,1,0,1,1,0,0,0,0,0,0,1,1,1,0,1,1,0,1,1,0,0,1,1,0,2,1,1,0,0,1,1,0,0,0,0,2,1,0,1,2,0,1,0,0,1,0,2,0,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,1,1,1,0,0,0,1,1,1,1,0,1,2,0,0,1,1,2,1,0,1,0,0,2,2,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,2,1,1,0,1,1,2,1,1,0,1,0,0,1,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,2,1,1,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,2,1,0,0,1,1,2,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,2,0,0,0 0,0,2,1,0,0,1,2,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,2,1,0,1,2,0,1,0,1,0,1,0,1,0,2,1,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,2,0,0,0,2,1,1,1,0,0,0,0,1,1,0,0,1,0,0,1,2,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,1,0,0,2,2,1,0,0,0,0,1,1,1,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,2,1,0,1,0,0,0,1,0,1,1,1,1,0,2,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0,1,1,2,2,1,0,2,0,0,0,1,2,1,0,0,1,0,2,1,0,0,1,0,1,1,1,0,0,1,1,0,1,2,0,0,0,0,1,0,2,1,1,0,0,1,2,1,0,1,0,2,0,0,0,0,2,1,0,1,0,2,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,2,1,2,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,2,1,0,1,1,1,0,0,0,1,1,1,1,0,0,1,0,1,0,0,1,0,2,0,0,2,1,0,0,2,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,1,1,2,0,0,0,0,1,2,0,0,0,1,1,1,0,2,0,0,0,1,0,0,0,0,0,2,0,1,2,0,1,1,1,2,0,1,0,0,0,0,0,0,1,2,0,2,0,0,2,0,1,0,1,0,2,1,1,0,2,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,2,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,2,0,2,0,0,0,0,0,1,0,2,1,1,0,0,0,2,1,1,1,1,0,1,0,0,0,1,2,1,0,2,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,1,0,1,0,1,1,0,2,1,1,0,0,1,0,0,0,0,0,1,2,2,0,0,1,1,1,1,1,0,2,0,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,2,1,1,2,1,0,0,0,0,1,1,0,0,0,0,2,1,1,0,2,0,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0,2,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,2,2,1,0,1,1,2,0,1,0,0,0,2,0,2,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,1,0,2,0,2,0,0,0,1,0,0,0,1,1,0,1,0,0,0,2,0,1,0,0,0,1,0,0,2,0,2,1,1,2,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,2,1,1,0,1,2,0,1,1,0,0,0,0,0,1,1,1,1,0,1,1,1,2,1,0,0,0,0,2,1,0,2,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,2,0,0,1,1,0,0,0,1,0,0,2,0,0,0,0,0,0,1,1,1,1,1,0,0,0,1,1,2,1,1,1,1,0,0,1,2,1,0,0,1,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,1,0,0,0,1,1,1,1,2,0,0,2,2,1,0,1,0,0,0,0,1,2,0,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,2,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,2,0,1,0,0,1,2,1,0,0,0,0,0,0,0,2,0,1,1,0,0,0 1,0,1,0,0,0,1,0,1,1,2,2,1,0,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,2,1,0,2,0,2,0,1,0,1,1,0,0,0,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,2,0,1,0,1,1,0,0,0,2,0,0,1,1,0,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,1,1,1,1,2,0,1,1,1,0,0,0,0,1,1,2,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0,2,0,1,0,1,0,0,1,0,1,0,1,2,0,0,1,0,1,0,0,2,0,0,2,0,0,0,1,0,0,2,1,2,1,2,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,2,0,0,0,1,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,1,1,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,0,2,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,2,0,0,0,0,0,0,1,1,1,0,0,1,2,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,2,0,0,1,0,1,1,0,2,2,1,1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,2,0,1,0,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,1,0,2,1,1,1,0,0,0,1,0,0,0,2,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,0,2,0,1,0,2,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0,2,1,0,0,1,0,0,1,2,1,0,0,2,0,0,1,0,0,0,0,0,0,2,0,2,0,0,2,0,1,1,1,0,2,0,0,1,2,0,1,0,0,2,0,1,1,1,0,0,1,1,2,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,1,0,2,0,1,0,0,0,0,2,0,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,1,1,2,0,1,0,1,0,0,0,0,2,1,0,0,0,0,0,1,1,0,1,1,0,2,1,0,0,0,1,0,0,1,2,0,1,0,1,0,0,0,0,1,0,1,1,1,0,0,0,2,1,0,1,0,2,0,0,0,2,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,2,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,2,2,0,2,0,0,1,1,0,1,1,0,1,1,0,2,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,2,2,1,1,0,1,2,1,1,1,0,0,0,0,0,1,1,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,2,2,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,0,0,0,2,0,1,0,1,0,1,0,1,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0 1,0,0,2,2,0,1,0,0,2,1,1,0,2,0,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,2,1,0,1,1,1,0,2,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,2,0,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,2,1,1,0,0,0,0,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0,1,2,1,1,1,0,1,0,0,0,1,1,2,0,1,0,0,1,2,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,2,1,0,0,0,0,0,0,1,2,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,1,0,1,0,1,1,1,1,1,0,0,2,0,0,1,0,0,1,0,0,0,0,2,0,0,0,1,0,1,1,0,2,1,1,0,1,1,2,0,0,1,0,1,0,1,1,0,0,1,1,1,1,1,2,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,2,0,0,1,0,2,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,2,0,0,0,1,1,0,1,0,1,2,0,0,2,0,0,2,0,1,0,2,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,2,0,0,0,1,1,0,0,1,2,0,1,1,1,0,0,0,1,0,1,1,0,1,2,0,2,1,2,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,1,1,1,1,1,0,0,1,0,1,1,0,1,1,1,1,1,1,2,0,1,0,0,0,0,1,1,1,1,0,1,0,0,1,1,2,2,1,1,0,0,1,0,1,2,0,1,1,0,1,0,0,0,1,0,0,0,0,0,2,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,2,0,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,2,0,0,0,1,2,0,0,2,0,1,1,1,0,0,0,1,1,1,2,1,2,1,0,0,0,2,2,0,1,0,0,0,0,1,0,0,2,0,0,0,0,1,1,2,2,1,0,1,1,1,0,1,1,0,1,0,0,2,2,0,1,2,1,1,0,0,0,0,0,2,0,1,0,0,1,0,1,0,0,2,0,0,1,0,0,0,2,0,0,0,1,2,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,2,1,0,0,0,0,0,1,0,0,1,1,0,2,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,2,2,0,1,0,2,1,0,0,1,2,0,1,2,0,1,0,0,1,2,0,2,2,0,1,0,0,0,1,1,1,1,2,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,2,1,1,1,0,0,0,0,1,0,0,1,1,2,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0,2,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,1,0,1,0,1,0,1,1,2,1,1,1,1,1,0,1,1,1,0,1,1,2,0,2,0,1,0,0,2,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,1,1,0,0,1,0,0,2,0,0,1,1,1,1,0,0,0,1,2,1,1,0,2,2,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,2,0,0,2,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,2,0,2,0,1,1,0,0,1,0,0,2,2,0,0,1,0,0,1,0,1,0,2,0,0,1,0,0,1,0,2,0,1,1,1,1,0,0,0,0,0,0,1,2,1,1,1,0,2,0,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,2,0 1,0,0,1,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,2,0,1,0,0,2,1,0,0,0,0,0,1,1,2,0,0,2,2,0,2,1,0,0,1,0,0,1,0,0,2,1,2,1,0,0,1,1,2,0,2,0,0,1,0,2,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,2,0,0,2,2,0,0,1,0,1,1,0,2,0,0,1,1,0,0,0,2,1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,2,0,0,1,0,1,0,0,0,0,2,1,0,1,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,2,2,0,1,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,1,0,2,1,0,0,0,2,1,0,1,1,1,0,0,2,1,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,2,0,0,0,1,0,0,1,1,0,1,1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,1,0,2,0,0,0,0,1,0,0,0,1,0,0,0,2,0,1,0,0,2,1,1,0,2,0,0,1,0,2,0,0,0,2,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,2,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,2,0,0,2,0,0,2,1,1,0,0,1,1,2,1,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,1,1,2,1,0,1,0,0,1,0,2,0,1,1,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,1,1,0,2,2,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,2,0,1,0,0,0,0,1,1,1,1,0,0,0,0,1,2,0,1,2,0,0,0,0,0,0,1,1,0,0,0,0,0,1,2,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,1,1,1,1,1,2,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,2,1,1,0,0,1,0,1,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,1,2,1,1,1,1,0,0,2,2,1,0,0,2,0,1,1,0,1,0,1,0,0,0,0,2,1,1,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,2,0,1,0,0,1,0,0,0,0,2,1,0,0,1,1,2,0,2,2,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,1,1,1,0,1,0,0,1,0,1,1,2,0,1,2,1,2,0,0,0,0,1,2,0,0,1,2,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,1,1,1,1,0,2,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,2,0,0,1,0,0,1,1,0,1,2,0,0,0,0,0,1,0,2,2,0,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,1,2,0,1,1,1,0,1,1,0,0,1,2,2,0,1,1,0,0,1,2,0,0,2,0,1,0,0,0,2,1,1,0,0,0,2,1,0,0,1,0,0,2,2,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,1,1,0,2,0,0,1,0,1,0,0,0,1,0,1,2,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,2,2,1,0,0,1,2,1,1,1,2,1,0,0,0,1,0,2,0,0,0,0 1,0,0,0,0,0,1,1,0,0,1,1,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,1,2,0,1,0,0,0,1,0,0,0,0,2,1,0,0,1,0,0,0,0,1,1,0,1,1,0,0,2,2,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,2,1,0,1,2,1,0,1,0,0,1,1,0,2,2,1,1,1,1,1,0,0,0,0,1,0,2,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,2,0,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,1,0,2,1,0,1,0,2,0,0,1,1,0,0,0,0,1,1,1,0,0,1,1,2,0,0,1,0,0,1,1,1,0,2,0,0,2,0,0,0,0,2,0,1,1,0,2,0,0,0,1,0,0,0,0,0,1,2,0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,2,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,2,0,1,0,2,0,2,2,1,2,0,2,1,1,0,0,0,2,1,0,0,1,0,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,1,1,1,0,2,1,1,2,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,2,1,0,0,1,2,0,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,1,0,1,1,1,0,0,1,1,0,0,2,2,1,1,1,1,0,2,0,1,1,0,0,0,0,0,1,0,1,0,0,1,1,0,1,2,0,1,0,0,0,1,1,0,1,1,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,1,1,2,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,2,1,1,0,0,0,1,0,0,0,1,0,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0,2,0,1,0,0,0,1,2,0,1,0,1,0,0,0,1,0,1,2,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,2,0,2,1,1,0,0,2,1,1,1,0,0,1,0,0,0,0,0,0,1,0,2,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,1,1,1,0,0,1,2,1,0,1,1,0,0,0,1,1,1,1,1,2,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,1,0,0,1,0,2,1,1,1,1,1,0,0,1,2,0,0,1,1,1,0,0,0,1,0,0,0,0,2,1,0,0,1,0,1,1,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,0,1,0,1,1,1,1,0,1,1,1,0,0,0,2,0,1,1,2,1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,2,0,1,0,1,0,0,0,0,0,2,2,2,0,0,1,1,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,2,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,2,0,0,0,1,1,1,2,0,1,1,1,0,0,1,0,1,0,1,0,0,1,2,1,0,2,1,0,1,0,0,0,0,2,0,0,1,0,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,2,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,1,1,0,0,2,0,1,1,0,1,1,0,2,1,0,0,2,1,1,0,0,0,0,0,1,0,0,1,0,1,0,1,1,0 0,0,0,0,0,0,0,0,2,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0,2,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,1,2,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,2,0,0,2,2,0,0,0,2,1,0,1,0,0,0,0,0,1,1,1,0,0,0,2,1,0,0,0,0,1,0,2,2,2,1,2,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,2,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,1,1,0,1,0,0,2,0,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,2,0,1,1,0,0,1,0,1,0,0,0,1,1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,1,0,1,1,2,2,0,1,0,1,0,2,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,1,2,0,0,1,1,0,1,1,1,1,0,0,1,1,2,0,1,0,0,0,0,2,0,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0,2,0,1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,2,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,2,1,0,0,1,1,1,0,0,1,1,1,1,1,2,1,0,1,0,1,0,0,0,0,0,0,0,1,2,0,0,0,0,1,2,0,1,0,0,1,2,2,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,2,0,1,0,0,0,1,1,1,1,0,1,1,0,2,0,1,0,2,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0,2,0,0,1,1,1,0,0,2,0,0,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,2,1,0,1,2,0,0,1,1,1,0,2,2,0,2,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,2,0,0,0,0,2,1,0,0,1,1,0,0,1,0,0,0,2,0,1,0,0,0,1,1,0,0,0,0,1,1,0,0,2,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,2,0,0,0,0,0,0,0,1,1,2,0,1,1,2,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,1,0,0,0,0,1,1,0,2,0,0,0,0,0,2,1,2,0,0,0,1,1,0,0,2,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0,1,1,0,2,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,2,0,2,1,0,0,0,1,0,1,1,1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,1,1,0,0,2,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,0,2,0,2,2,0,1,1,1,1,2,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,1,2,1,1,0,1,2,1,0,0,2,0,0,0,1,2,1,1,0,0,0,0,2,0,0,0,2,1,1,0,2,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,2,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,2,1,2,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,2,0,2,1,0,0,0,0,0,0,1,0,1,0,0,2,0,0,1,0,0,0,0,1,1,1,0,0,1,0,2,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,2,0,0,1,0,0,0,0,0,0,1,1,1,0,0,2,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0 1,0,0,0,1,0,0,2,1,1,0,0,1,1,0,1,0,1,0,0,0,0,2,0,1,0,0,1,0,1,2,0,0,1,0,0,1,0,2,0,1,0,0,2,2,1,0,2,1,0,0,0,0,0,1,0,2,0,0,0,1,0,1,1,0,2,1,0,1,1,0,2,1,1,1,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1,1,0,1,0,1,2,1,0,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,1,0,2,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,2,0,0,0,2,1,0,1,1,1,0,0,2,0,0,1,0,2,0,0,1,1,0,1,0,1,0,2,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,2,2,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,0,2,1,0,0,0,0,1,0,2,0,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,2,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,2,1,1,0,0,2,0,1,1,0,1,0,0,2,1,0,0,0,0,0,2,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,0,2,1,2,0,1,0,0,0,0,0,1,0,1,0,1,0,0,1,2,0,0,0,1,0,0,0,1,1,1,0,1,0,1,1,1,0,2,0,1,0,1,0,0,1,0,1,0,1,0,0,0,1,2,0,1,0,2,1,0,0,1,1,1,1,0,1,0,1,0,0,2,2,0,0,0,1,1,2,0,0,1,0,0,1,0,1,2,1,1,0,1,0,1,1,1,1,0,2,0,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0,1,1,2,1,1,1,1,0,0,0,0,1,2,1,1,1,0,0,2,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,2,1,0,1,2,0,0,0,0,1,1,1,1,2,0,1,2,0,0,1,1,1,0,2,1,0,0,1,0,0,0,2,0,1,0,0,1,0,1,0,2,2,0,0,2,1,1,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,1,2,0,1,0,0,0,1,0,1,0,0,1,1,2,0,0,0,0,0,0,0,1,1,0,2,0,0,1,0,1,0,2,0,1,2,1,1,0,2,1,1,0,0,0,1,0,1,1,0,0,0,2,1,1,0,1,0,0,0,0,0,2,0,0,1,0,0,2,1,0,0,1,1,1,0,2,0,1,1,0,1,2,0,0,1,0,0,1,2,2,1,0,1,0,1,1,1,0,0,0,1,0,2,1,0,1,0,2,1,0,1,1,0,0,1,0,0,1,0,0,0,1,2,1,0,0,0,0,1,0,0,1,1,2,1,0,0,1,1,0,0,1,1,0,1,0,0,0,1,2,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,2,0,2,0,0,1,0,0,0,1,1,0,1,0,0,0,2,1,0,1,0,0,0,0,1,0,0,1,1,0,2,0,0,0,2,0,0,0,0,1,0,0,0,2,0,0,1,1,2,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,1,1,0,1,2,0,0,2,0,0,0,0,0,2,0,1,2,0,0,2,0,0,0,1,0,1,0,1,2,1,0,0,0,1,1,1,1,2,0,1,0,0,2,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0 1,0,0,1,0,0,0,1,1,1,1,1,0,1,2,0,0,1,1,0,0,0,2,0,2,1,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,1,1,0,2,1,0,0,0,1,0,0,0,0,1,0,1,0,1,1,1,0,0,1,0,1,0,2,0,0,1,0,2,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,1,2,0,0,2,0,2,1,1,0,1,1,1,1,1,0,0,0,0,0,1,2,2,0,1,0,1,0,0,1,2,2,0,0,1,2,1,1,0,1,1,1,0,2,0,1,1,2,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,1,2,0,1,0,0,1,0,1,0,1,1,0,0,0,1,1,1,1,2,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,2,2,0,0,0,1,0,0,0,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,1,2,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,2,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,2,0,1,2,0,0,0,1,0,1,0,2,0,1,0,0,1,1,2,1,0,0,0,0,1,0,0,0,0,1,1,2,0,1,1,0,0,2,1,0,0,0,1,2,1,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,2,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,1,0,1,0,2,1,1,1,0,1,1,1,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,1,0,2,1,1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,2,1,1,0,0,0,0,1,0,0,0,1,0,2,1,1,1,1,1,2,0,1,0,0,0,0,0,2,1,1,1,0,0,2,2,2,0,1,1,0,0,0,0,1,0,1,2,0,0,1,0,0,0,0,2,0,1,0,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,1,1,2,0,0,0,0,2,1,2,0,1,0,1,0,1,1,0,0,0,2,0,2,1,1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,1,2,2,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,1,0,1,1,0,1,1,1,1,1,0,0,1,2,0,1,1,1,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0,1,2,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,2,2,1,0,1,1,2,2,1,0,0,0,0,0,1,0,1,0,0,1,1,1,0,1,1,0,0,1,1,1,1,1,1,2,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,2,1,2,1,0,2,2,1,0,1,0,1,1,1,1,0,2,1,2,0,0,2,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,2,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,2,1,0,0,0,1,0,0,2,1,2,2,0,0,0,0,2,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,1,1,1,1,1,0,1,1,2,1,0,0,0,1,0,2,0,0,0,0,1,1,0,1,0,1,0,0,1,1,0,2,0,0,2,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,2,2,0,0,1,0,0,0,1,1,2,1,0,0,0 1,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,2,0,0,0,1,0,1,0,0,2,1,0,0,0,0,2,2,2,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,1,1,1,0,1,2,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0,1,0,0,1,0,1,2,0,0,1,0,0,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,1,0,1,2,0,1,0,0,0,0,0,0,0,1,0,0,0,2,1,0,1,0,0,0,0,2,2,1,0,1,2,0,1,1,1,1,2,0,0,0,0,1,0,0,1,0,2,1,1,0,1,0,1,0,0,2,0,0,0,1,1,1,0,0,0,0,0,1,2,1,1,1,2,0,0,0,1,1,1,0,0,0,1,2,1,1,0,0,0,1,0,1,1,0,1,1,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,2,0,1,0,1,1,0,0,1,2,1,0,1,1,0,0,1,0,1,2,1,2,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0,1,1,2,0,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,0,1,1,1,0,2,0,0,0,1,0,1,1,1,0,1,1,0,1,0,1,2,0,1,0,1,0,0,0,1,0,1,0,1,1,0,0,2,1,0,0,0,0,0,1,2,1,0,0,1,2,0,1,0,0,0,0,0,0,0,0,2,1,1,0,1,0,0,0,0,1,1,1,0,1,0,1,1,0,0,0,1,0,2,1,0,1,0,0,0,1,1,0,0,1,0,0,0,2,2,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,1,1,1,0,2,0,1,0,0,1,1,1,1,2,1,1,1,1,2,0,0,0,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0,2,1,0,0,0,0,1,1,1,0,1,1,1,2,0,0,1,1,0,0,2,1,0,1,1,1,0,1,1,0,0,0,1,0,2,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,2,0,0,0,0,1,1,0,1,1,0,0,0,2,0,1,0,1,0,0,0,0,0,2,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,2,1,1,0,0,1,1,0,0,1,0,1,1,1,2,1,1,1,0,0,1,0,0,1,0,2,2,1,1,2,1,2,0,0,1,0,0,0,0,2,1,2,0,0,1,0,2,1,0,1,0,2,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,2,1,2,1,1,0,0,1,1,1,0,0,1,2,1,0,0,1,0,0,1,0,2,0,1,1,1,0,0,0,1,0,1,1,0,1,0,1,1,0,0,1,0,1,2,0,0,0,0,2,0,1,0,1,1,2,0,0,2,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,2,1,0,1,0,0,0,2,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,2,2,1,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,2,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,0,1,2,1,2,0,0,2,0,0,0,0,0,1,1,0,0,2,0,1,0,0,0,0 0,0,0,2,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,2,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,2,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,1,0,2,1,0,0,0,0,0,1,0,0,1,0,1,1,0,2,1,0,0,1,1,1,1,0,0,1,0,1,0,1,2,1,0,2,1,0,0,0,0,2,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,2,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,2,0,1,0,1,0,1,1,1,0,0,0,1,0,2,0,0,0,2,0,1,0,1,0,0,0,0,1,1,0,1,2,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0,1,2,1,1,0,2,0,0,0,0,0,0,0,1,1,2,1,0,2,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,1,2,0,0,1,0,1,1,0,0,2,1,0,0,1,0,0,0,2,1,0,0,1,0,0,1,1,0,1,2,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,2,1,0,0,0,0,1,0,1,0,0,0,1,1,1,1,2,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,1,2,0,1,0,0,0,2,2,1,1,0,0,0,2,1,0,0,1,0,0,0,1,0,2,0,2,1,0,1,1,1,1,0,0,1,0,1,1,1,2,1,0,1,1,0,0,0,1,1,1,1,0,1,0,1,0,2,1,1,0,0,0,1,0,0,1,1,1,2,1,0,0,0,1,1,1,0,0,1,1,0,0,2,0,0,1,1,1,0,1,1,1,0,2,1,0,0,1,2,0,0,2,0,0,2,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,2,0,1,2,0,1,1,0,2,0,0,0,1,2,1,0,1,0,0,0,1,0,1,0,0,0,0,0,2,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,1,2,1,1,1,0,1,0,0,2,0,0,2,2,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,1,0,0,0,0,0,2,1,0,0,0,1,0,2,1,1,0,0,0,0,1,0,0,1,0,2,1,0,0,2,0,0,1,1,0,1,0,0,2,0,0,1,0,0,1,0,1,2,1,1,0,1,2,1,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,2,1,0,0,0,1,0,0,2,0,1,0,0,0,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,2,1,2,0,1,0,0,0,2,1,1,0,1,0,0,0,0,1,2,0,0,0,0,2,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,2,0,1,0,1,0,0,0,0,0,2,0,0,0,0,1,1,0,2,0,0,1,0,1,1,0,2,0,0,0,1,0,0,1,2,0,2,1,0,0,0,2,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0,2,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,2,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,2,1,0,2,0,1,0,1,1,1,1,1,0,1,2,0,1,0,0,1,1,0,0,1,1,1,1,1,1,0 1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,2,1,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,2,0,0,0,0,0,1,1,1,0,2,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,0,2,0,0,0,0,0,0,1,1,0,0,0,1,2,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,2,1,0,1,0,0,1,0,1,0,2,1,1,0,1,2,0,0,0,0,0,0,1,0,2,2,0,0,0,1,2,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,2,0,0,0,0,1,1,0,1,0,2,1,0,1,1,2,0,2,0,0,0,0,0,0,2,1,1,2,1,0,0,0,1,1,0,1,0,2,1,1,1,2,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,1,1,1,0,0,2,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,2,2,0,0,1,0,1,0,1,0,0,0,0,0,1,1,1,0,0,1,1,0,1,2,0,0,1,2,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,2,0,2,1,1,1,0,0,1,0,2,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,2,2,0,1,1,0,1,2,1,0,0,1,1,0,2,1,2,2,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,2,0,1,1,1,2,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,2,1,0,0,1,0,1,2,1,0,0,0,2,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,1,1,1,1,1,1,1,0,0,0,2,0,2,1,0,0,0,0,2,0,0,2,0,2,0,0,0,1,0,0,0,0,2,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0,1,2,1,0,2,0,0,0,0,0,0,0,1,1,1,0,0,2,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,2,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,2,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0,1,1,1,0,2,1,2,0,0,1,0,1,1,0,1,2,0,0,0,1,0,1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,2,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,2,0,0,1,0,1,0,0,1,0,1,0,0,2,0,0,0,1,2,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,2,0,0,0,0,1,0,1,0,2,1,0,0,0,0,0,0,0,1,2,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,2,0,1,2,0,0,0,2,1,2,2,1,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,0,2,1,1,1,0,0,1,2,1,1,0,1,0,0,0,0,2,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,1,1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0,2,2,0,1,0,2,0,1,2,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,1,1,0,1,0,0,2,1,1,0,1,1,0,0,0,0,0,0,2,0,1,0,2,0,1,0,0,0,1,1,1,1,0,1,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,2,0,0,0,0,2,0,0,2,2,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,2,1,0,2,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,1,2,0,0,1,0,0,0,0,0,0 1,0,1,1,2,0,2,2,1,1,2,0,0,1,2,0,0,2,1,0,0,0,1,1,1,0,1,2,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,2,1,0,0,0,1,0,2,1,1,1,2,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,2,1,0,1,1,0,0,0,0,0,1,1,0,1,0,1,0,2,2,0,0,1,1,1,1,1,0,0,1,1,2,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,2,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,2,0,0,1,1,0,0,0,0,0,0,0,0,2,0,1,1,0,1,0,1,2,0,0,0,0,2,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,1,1,0,1,1,0,1,2,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,2,0,1,1,1,2,0,0,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,2,0,1,1,0,0,2,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,2,0,0,0,0,1,0,0,0,1,2,0,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0,2,0,0,2,1,2,0,0,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,2,0,1,0,0,1,2,1,1,1,0,1,1,1,1,1,1,0,2,0,1,0,2,0,2,1,0,1,2,1,0,0,2,0,0,2,0,1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,1,0,1,2,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,2,0,0,2,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,2,0,1,0,1,1,0,0,1,1,0,0,0,0,2,0,0,1,0,0,0,0,2,1,1,0,0,0,0,2,0,1,1,1,1,1,0,0,1,0,1,1,1,2,1,0,2,1,0,1,2,1,0,0,1,1,1,1,1,0,0,0,1,0,0,2,1,0,0,0,0,1,2,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,2,1,0,0,0,0,2,0,2,1,1,0,0,1,2,0,1,0,0,1,1,1,0,1,1,0,1,1,0,0,1,2,1,1,0,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,2,0,1,1,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,2,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,2,0,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,2,1,0,0,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,0,2,1,0,0,1,0,1,1,2,1,2,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,1,1,0,0,1,0,1,2,0,0,0,1,1,1,0,0,0,1,2,0,2,2,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,2,0,1,1,0,0,0,2,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0 2,0,1,2,1,0,1,2,0,0,0,0,1,0,2,1,0,1,1,0,0,1,0,0,0,2,1,1,1,0,1,0,2,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,2,0,0,1,0,0,1,1,0,0,1,1,1,2,1,0,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,1,1,0,1,0,1,1,1,0,2,0,1,0,0,0,0,1,0,0,1,0,0,2,1,1,0,1,0,1,0,0,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,1,2,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,2,0,1,2,0,0,0,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,2,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,2,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,2,0,0,0,1,0,2,0,0,0,0,2,1,1,0,0,0,0,2,1,1,1,1,0,0,0,2,0,1,1,1,1,0,1,0,2,1,1,1,1,1,0,1,0,1,0,0,2,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,2,0,0,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,1,2,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,2,0,2,0,1,0,1,0,0,0,0,1,0,1,0,1,2,0,1,0,1,1,2,0,0,0,1,0,0,0,2,0,2,0,2,0,0,0,1,0,2,2,1,2,1,0,0,0,1,1,2,0,1,1,2,0,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,2,1,0,2,2,0,0,0,2,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,1,0,0,0,1,2,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,2,1,0,2,0,0,0,0,0,0,0,0,2,1,0,2,1,0,0,1,1,1,0,0,1,2,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,2,0,0,2,0,0,0,2,1,1,0,0,0,1,2,0,2,1,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,1,1,1,0,2,0,1,1,2,0,0,0,0,1,2,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,1,1,1,0,2,1,0,0,0,0,1,1,2,0,0,1,1,2,1,0,1,2,0,0,0,0,0,2,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,1,2,1,0,1,0,0,0,1,0,0,0,0,0,1,2,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,1,2,0,0,1,0,1,0,0,1,0,0,1,2,0,1,0,0,0,0,1,2,1,2,0,0,0,0,2,0,1,1,0,1,0,1,2,0,0,0,0,1,1,0,0,0,1,0,0,1,2,0,0,1,1,0,1,1,0,2,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,2,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,0,2,0,0,1,0,2,0,1,0,0,0,1,1,1,0,0,1,1,2,0,1,2,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0 0,0,1,1,1,0,0,1,2,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,2,1,0,0,2,1,1,1,0,1,1,1,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,1,1,1,1,0,0,0,0,1,0,0,2,1,0,0,2,0,1,0,0,0,2,0,0,1,1,0,0,0,2,0,0,0,0,1,0,0,1,0,0,1,2,0,1,0,0,1,2,2,0,0,1,0,2,0,1,0,0,0,1,0,0,0,1,0,1,1,1,1,0,1,2,1,0,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,1,1,1,0,0,0,2,0,0,0,0,1,0,1,1,0,0,1,1,2,0,2,1,0,0,0,1,0,0,2,2,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,1,1,0,0,1,1,1,0,0,0,2,0,1,1,0,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,1,1,0,1,2,0,1,0,0,0,1,1,1,0,0,0,0,1,1,1,1,1,0,0,1,0,2,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0,2,1,1,2,1,0,1,1,0,0,0,0,0,0,0,2,1,2,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,1,0,0,1,2,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,2,1,0,1,1,0,0,0,0,0,0,2,0,1,2,1,1,2,0,0,0,0,1,0,0,1,0,1,0,0,0,2,0,1,0,1,1,0,0,0,0,2,2,0,0,0,0,1,0,1,1,2,0,1,1,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,2,0,1,2,0,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,2,0,0,1,0,0,2,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,2,0,2,0,0,0,1,1,1,0,0,0,0,2,1,0,0,0,1,0,2,1,0,1,0,0,1,1,0,2,1,1,0,0,0,0,0,0,0,1,0,2,1,0,2,2,0,0,1,2,0,1,2,0,0,1,1,1,1,1,0,1,0,1,0,0,1,0,1,1,2,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,1,0,1,0,1,1,1,0,2,1,0,0,1,0,0,0,1,2,1,1,0,1,0,1,0,0,0,2,0,0,0,1,0,0,0,2,2,0,2,2,0,0,0,1,2,0,0,0,0,1,1,0,1,1,0,2,0,0,0,2,1,1,1,1,0,1,1,0,0,1,2,0,0,0,0,0,0,0,1,0,0,2,0,2,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,2,1,0,0,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,1,2,1,1,1,2,0,0,0,1,0,0,1,0,1,1,0,0,1,1,2,1,1,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,1,1,0,0,2,2,1,1,2,0,0,1,1,2,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,2,1,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,2,1,1,0,1,0,1,2,0,1,2,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0 0,0,1,2,2,1,0,1,0,2,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,2,2,1,0,0,0,0,0,1,1,1,1,0,1,2,2,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,2,2,0,1,0,0,0,1,2,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,2,0,0,0,1,0,0,0,1,1,0,0,0,1,1,0,1,2,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,2,1,1,0,0,1,1,1,0,0,2,1,2,1,1,0,1,1,0,0,1,1,1,0,1,2,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,2,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,1,1,0,2,0,1,2,0,2,0,0,0,0,0,0,1,0,1,2,0,0,1,2,0,1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,2,0,0,0,0,1,0,2,1,1,0,0,0,0,1,0,0,0,1,1,0,1,1,1,0,0,0,2,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,1,1,0,0,0,2,0,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,2,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,1,2,1,0,1,0,0,0,1,1,0,0,0,1,2,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,2,0,0,0,1,2,2,1,0,0,0,0,1,0,0,0,0,0,0,2,1,0,1,1,1,1,0,1,1,0,2,0,0,0,1,0,0,0,0,0,1,1,2,0,1,0,0,0,2,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,2,0,1,1,0,0,1,2,0,2,0,0,2,0,1,1,0,0,0,0,1,0,0,0,0,0,2,0,2,1,1,0,0,1,1,2,2,0,1,0,2,0,0,1,2,0,1,2,0,0,2,0,1,0,0,0,0,1,0,0,1,0,1,1,0,2,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,2,0,1,0,1,0,0,0,1,0,2,0,1,1,0,0,1,0,0,2,0,1,1,0,0,2,0,0,0,2,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0,1,2,1,0,2,0,0,0,1,0,0,0,1,0,0,1,2,2,2,1,0,0,1,0,0,0,1,2,1,0,0,1,0,1,2,2,0,0,0,0,1,2,0,2,1,1,1,0,0,1,0,0,0,2,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,1,0,0,2,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,2,0,0,1,1,0,0,1,1,1,0,0,0,0,0,2,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0,2,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1,2,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,2,1,1,0,0,0,0,0,1,2,0,1,1,0,0,0 1,0,1,1,2,0,1,1,0,0,2,1,0,0,1,0,0,0,1,0,0,1,1,0,1,1,0,2,0,1,2,0,1,0,0,0,2,1,1,0,0,2,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,2,1,2,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,2,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,2,1,0,1,0,1,0,0,0,0,1,2,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,1,1,2,0,0,1,0,2,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,1,1,0,2,0,0,1,1,1,2,1,0,0,1,2,1,2,2,0,0,2,0,1,0,0,2,1,0,0,1,0,1,1,1,1,1,0,1,0,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0,1,2,0,0,0,0,2,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,2,1,0,1,2,2,1,0,0,1,0,0,1,2,1,1,2,1,0,0,0,1,0,0,0,1,0,0,0,1,1,2,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,1,0,0,2,1,0,1,0,0,1,1,1,0,0,2,0,1,0,0,1,0,0,1,1,1,1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,1,0,1,1,1,1,1,0,2,0,0,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,2,2,0,0,0,0,2,0,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0,2,1,0,1,2,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,1,0,2,0,1,2,1,0,1,0,0,1,1,0,0,1,2,1,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,1,1,0,1,2,1,0,0,0,2,1,0,1,0,0,1,0,1,0,1,0,1,1,2,2,0,0,0,0,0,1,1,0,2,0,1,1,0,0,1,1,1,0,2,2,0,0,1,1,0,1,0,2,1,0,1,0,0,1,1,1,0,2,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,2,1,1,1,2,2,0,0,0,1,1,0,2,1,0,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,2,1,0,0,0,0,1,0,2,0,1,0,0,0,0,1,1,0,0,0,1,0,1,2,2,0,2,1,0,0,1,1,2,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,2,0,1,0,0,0,0,0,1,1,2,2,0,1,0,0,2,1,0,0,1,0,0,0,0,1,0,0,0,2,0,0,1,0,1,1,0,1,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,2,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,2,0,0,1,1,0,0,0,0,2,1,0,1,1,1,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0,0,0,0,0,1,1,2,0,0,0,2,1,1,0,0,0,0,0,0,1,0,0,0,1,0,2,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,2,2,0,0,1,0,0,1,0,1,0,1,2,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,1,0,1,1,1,1,0,0,0,2,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,1,1,0,1,1,0,1,2,2,1,0,1,0,0,1,1,0,1,0,2,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0 1,0,1,2,0,0,0,1,1,0,0,1,2,2,0,0,0,0,0,0,0,0,0,1,2,2,1,0,0,0,2,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,2,0,0,1,1,0,1,2,0,1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,2,1,2,1,0,2,0,1,0,1,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1,2,1,0,1,1,0,0,0,0,2,0,1,0,1,0,0,0,1,1,1,2,0,2,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0,2,0,0,1,0,0,2,0,1,0,0,0,1,2,1,0,1,0,2,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,2,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,2,0,2,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,2,0,0,1,1,1,0,2,1,1,0,0,1,1,1,0,0,1,2,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,2,0,0,0,0,1,0,2,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,2,1,0,0,1,2,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,2,1,1,0,1,0,1,1,2,1,1,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,2,0,1,1,0,1,1,1,2,0,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0,2,1,1,1,0,0,0,0,1,0,1,2,0,0,1,0,1,0,2,2,0,0,1,0,1,0,0,1,0,1,2,0,0,1,2,0,1,0,1,0,0,2,0,0,0,0,0,0,2,0,0,1,1,1,0,0,2,0,0,0,0,0,2,1,1,2,1,1,1,2,0,1,0,0,0,1,1,1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,1,2,0,0,0,2,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,2,0,0,0,0,0,0,2,0,1,1,0,1,1,2,1,0,0,2,1,1,1,1,0,0,2,0,1,0,0,1,1,2,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,2,0,0,1,2,0,0,1,0,0,1,1,0,0,0,0,1,0,0,2,2,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,2,1,0,0,2,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,2,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,1,0,2,1,1,2,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,1,1,2,0,2,0,0,0,1,0,1,0,0,2,0,0,1,1,0,1,1,0,1,0,0,1,1,0,1,1,1,2,2,0,1,0,0,1,1,2,2,2,1,0,0,0,1,2,0,0,0,0,1,1,0,0,2,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,2,0,0,0,0,0,0,1,1,1,0,0,0,2,1,1,1,0,1,2,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,2,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,2,1,2,0,0,0,0,0,1,0,0,0,1,0,2,0,1,0,2,1,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0,1,1,2,2,1,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,2,0,0,0 1,0,0,2,2,0,2,0,0,2,0,2,1,0,2,0,0,1,1,0,0,0,0,1,0,2,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,2,1,1,0,0,1,0,0,2,1,0,2,0,0,0,1,0,1,0,1,0,0,0,0,2,0,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1,2,0,2,0,0,2,0,1,2,1,0,0,0,0,0,1,0,1,1,1,0,2,0,1,1,0,1,0,0,0,0,2,2,0,0,2,0,1,1,0,0,0,0,0,1,0,0,0,2,1,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,2,0,1,1,0,1,0,0,1,0,0,1,1,0,0,2,1,1,1,0,0,0,1,0,0,1,0,1,1,1,1,2,0,2,0,0,1,0,0,0,0,0,0,0,1,1,1,2,0,0,1,2,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,2,1,1,0,0,1,0,1,0,1,2,0,1,2,1,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,2,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,1,2,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,2,2,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,2,2,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,2,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,2,0,1,0,0,0,0,0,1,1,2,1,0,0,1,1,1,0,0,0,1,0,0,0,0,2,0,0,0,1,1,1,0,0,0,1,0,1,0,2,0,0,1,1,0,2,0,0,2,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,2,1,2,0,1,0,0,0,0,0,2,0,2,1,1,1,0,0,1,2,0,1,0,2,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,2,1,0,1,0,0,1,0,1,2,0,0,0,0,1,2,0,0,0,1,0,1,0,1,1,1,2,1,0,0,0,0,0,1,0,1,2,0,0,1,0,0,0,0,1,2,1,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,1,0,2,1,0,0,0,1,0,0,0,1,2,0,0,0,0,1,1,0,1,2,0,0,0,2,0,1,1,2,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,2,0,0,1,0,0,1,1,1,0,1,2,0,0,1,0,1,1,2,0,0,0,1,2,2,1,0,0,0,0,0,0,0,0,0,1,2,0,1,0,0,0,2,1,1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,1,2,0,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,2,2,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,0,2,1,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,2,1,0,0,1,1,2,0,1,0,2,1,0,1,1,1,0,1,0,1,1,0,1,1,0,1,1,2,0,1,0,2,0,0,1,0,2,0,0,1,2,0,0,0,0,0,1,0,1,0,2,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,2,1,0,2,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,0 0,0,0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,1,0,0,0,2,0,0,1,1,1,2,1,0,1,0,0,1,0,0,0,2,0,1,0,1,0,2,1,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,2,0,0,2,0,2,1,1,1,0,1,2,0,1,0,0,1,0,0,2,0,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,1,1,0,1,0,0,0,1,0,1,1,1,1,1,1,0,0,0,0,2,0,0,0,0,1,2,1,1,2,0,1,1,0,0,1,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0,2,0,1,2,0,1,0,0,0,0,0,1,0,2,1,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,1,0,1,0,1,0,2,1,1,0,0,1,0,1,2,0,0,0,1,0,1,2,0,0,0,1,0,0,0,0,1,0,0,0,1,0,2,1,0,0,0,0,1,2,0,0,1,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,1,2,2,0,0,1,0,0,2,0,0,2,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,2,2,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0,1,1,0,1,2,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,2,0,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,2,1,0,1,1,0,2,0,0,0,1,2,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,0,2,1,0,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0,1,1,1,0,0,1,2,2,1,0,1,0,0,0,1,1,1,2,0,1,0,0,2,0,1,0,1,0,0,0,1,1,0,1,1,2,1,0,0,1,0,0,2,1,0,0,0,1,1,0,0,1,2,1,1,0,0,2,0,1,1,1,0,2,1,0,0,2,0,1,1,0,1,2,2,0,1,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,2,0,0,1,0,1,1,0,1,1,0,0,1,1,0,0,2,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,2,1,1,0,0,1,1,1,0,2,1,0,0,0,1,1,2,1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,2,0,1,0,1,2,2,0,0,0,0,1,1,2,1,1,0,2,1,1,0,1,0,2,1,1,1,1,0,2,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,1,2,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,2,0,0,0,0,1,0,1,2,2,2,1,0,0,0,1,0,2,2,1,1,1,0,1,0,2,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,1,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,2,2,0,0,0,0,1,1,2,1,1,1,0,0,2,0,0,0,2,0,1,2,0,0,0,1,1,0,0,1,0,0,0,0,2,1,1,1,0,1,0,0,2,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,2,1,2,0,0,1,1,0,1,0,1,2,0,0,1,0,1,2,0,0,0,0,0,1,2,1,1,0,0,1,0,0,2,0,0,1,0,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,1,0,0,0,0,2,1,0,0,0 1,0,1,1,2,0,1,1,2,1,1,1,0,0,1,2,0,0,0,0,0,1,1,0,0,1,2,1,2,0,2,0,0,0,2,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,2,0,1,0,0,2,1,0,0,1,0,0,0,1,0,1,0,2,1,0,0,2,0,0,1,1,0,2,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,2,0,2,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0,2,0,1,0,0,0,2,1,0,1,1,0,1,0,1,0,1,2,0,1,2,0,0,1,0,1,0,1,0,1,2,0,0,1,0,0,0,0,1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,2,0,1,1,1,1,1,2,0,0,2,0,1,2,0,1,0,1,0,0,1,0,0,0,1,0,2,0,1,2,0,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,2,1,1,0,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,2,0,0,0,0,0,0,0,2,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,2,0,0,0,2,0,0,2,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0,2,0,0,1,0,0,0,2,1,1,0,0,0,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,2,1,2,0,0,1,0,2,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,1,1,1,0,0,1,0,2,1,1,0,1,0,0,0,0,0,0,1,0,2,0,1,2,1,0,0,1,0,0,2,0,0,0,2,0,1,1,0,1,1,1,2,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,2,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,2,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,0,1,1,1,1,0,1,1,2,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,2,0,1,0,1,0,1,1,2,1,0,1,1,0,0,0,1,1,1,0,1,0,0,1,0,2,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,1,1,1,1,1,0,1,0,0,0,1,1,0,2,1,1,0,2,0,0,0,1,1,1,0,2,1,1,0,2,1,1,1,0,0,2,0,1,1,2,0,0,1,1,0,2,0,0,1,0,0,0,1,2,0,1,0,0,0,0,0,0,1,0,0,2,2,0,0,1,0,1,0,0,0,2,0,0,1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,2,0,1,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,1,1,0,1,2,0,1,0,1,0,1,1,0,1,2,0,0,1,2,0,0,0,0,1,2,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,1,1,0,0,1,1,0,0,0,2,1,0,0,0,0,0,0,1,2,0,1,0,0,2,0,2,0,1,2,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,2,1,0,1,0,0,0,0,2,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,1,2,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,2,2,0,1,0,1,1,0,1,0,0,0,1,2,1,0,1,0,0,0,0,1,0,1,1,1,1,0 1,0,1,0,0,0,0,1,1,1,1,0,1,2,0,1,0,0,2,0,0,0,1,0,0,1,0,2,1,0,1,0,2,0,1,0,2,2,1,0,1,0,0,2,0,1,0,1,1,0,1,0,0,0,0,0,2,0,1,1,0,0,2,1,0,0,0,2,1,0,1,1,1,1,1,0,1,2,0,1,0,0,0,2,2,1,1,0,1,1,2,0,1,0,1,0,2,0,1,0,1,0,0,0,1,0,0,1,1,2,1,1,0,2,0,1,0,2,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,2,0,0,0,0,1,0,1,1,0,2,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0,2,1,0,1,0,1,0,1,1,0,0,0,0,2,1,1,0,0,1,0,1,2,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0,1,0,2,0,0,0,2,1,0,0,1,0,1,0,0,0,0,0,2,1,0,0,1,1,0,0,1,0,0,0,1,1,0,1,0,1,0,1,0,2,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0,1,2,0,0,1,0,1,2,0,0,2,0,0,2,0,2,0,1,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,2,0,1,1,0,0,0,2,0,0,2,0,2,2,0,2,0,0,2,0,2,0,0,0,1,1,1,0,1,1,2,2,2,1,0,1,0,0,2,0,0,0,1,1,0,0,0,1,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,2,1,1,1,2,2,1,1,0,1,0,1,0,1,0,0,0,1,0,1,1,2,1,0,0,0,1,1,0,1,0,2,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,2,2,0,1,0,0,1,0,0,0,1,1,2,0,0,1,0,1,1,2,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,2,1,1,0,0,0,0,0,0,1,0,2,0,1,1,1,0,0,1,1,1,1,1,1,1,0,0,2,1,0,1,0,0,0,0,2,0,0,0,1,1,1,1,1,2,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,2,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,2,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,1,2,0,1,0,0,0,1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,1,0,1,1,0,1,1,2,1,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,2,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,2,0,1,2,0,0,2,1,0,1,1,2,0,2,1,0,0,2,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,2,0,0,0,0,1,1,0,1,0,0,2,1,1,0,0,1,1,2,1,1,0,1,1,0,1,1,0,0,0,2,1,1,1,1,0,0,1,0,0,0,0,0,0,2,0,0,1,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0,1,0,2,1,1,0,0,0,0,0,0,1,0,0,1,0,1,2,0,1,0,1,2,1,0,0,0,1,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,2,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0 0,0,0,1,1,0,2,2,1,0,0,1,1,0,2,0,0,0,0,0,0,0,1,0,0,1,1,2,0,0,1,0,1,0,0,0,1,1,1,0,0,2,0,1,1,1,1,0,0,0,1,0,0,0,0,0,2,0,1,0,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,2,0,1,0,2,0,0,0,1,1,1,0,0,1,0,2,1,0,0,2,0,1,0,1,2,0,0,0,0,0,0,1,0,2,2,0,0,1,2,0,0,0,0,0,2,0,1,0,1,0,2,0,0,2,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,1,1,1,0,0,0,1,2,1,2,0,1,0,0,1,0,1,0,0,0,0,0,2,1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,2,0,1,1,1,0,1,1,0,0,0,0,0,2,0,0,0,1,1,1,0,1,0,0,2,1,0,0,0,0,1,0,0,1,1,1,0,2,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,1,2,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,2,0,0,0,2,0,0,1,1,0,1,1,1,1,0,1,0,2,0,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,1,1,1,0,0,0,2,0,1,0,0,1,0,0,1,1,2,0,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,0,1,1,1,1,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,2,1,0,0,0,0,1,1,2,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,2,0,0,2,0,0,0,0,0,0,0,2,2,1,0,0,1,1,0,2,0,2,0,1,0,0,0,0,0,2,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,1,2,2,0,1,0,0,0,1,2,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,2,0,1,1,0,0,1,0,0,0,0,0,1,0,2,2,2,0,1,2,0,0,1,0,1,0,0,0,0,2,1,0,0,1,0,1,0,0,2,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,1,1,1,0,1,1,0,2,0,1,2,0,1,0,1,0,1,0,2,1,1,0,0,0,2,0,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,2,1,1,1,0,2,0,2,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,2,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,1,2,0,1,1,0,1,0,0,2,1,1,0,0,0,1,0,2,0,1,0,0,2,0,1,0,0,1,0,1,1,2,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,1,1,2,0,1,0,0,1,0,0,0,0,0,1,1,0,0,2,2,1,0,0,1,0,0,0,1,0,1,0,1,2,0,1,0,1,0,0,1,0,2,0,0,1,0,0,1,0,0,0,0,1,0,1,0,1,2,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,2,0,2,2,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,1,1,1,0,1,1,1,0,0,0,0,2,0,1,0,2,0,0,2,1,1,1,1,0,2,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0 1,0,0,0,0,0,1,1,0,0,0,1,1,2,1,0,0,1,2,0,0,0,0,0,0,0,2,1,0,2,2,0,1,0,1,0,0,0,1,0,2,1,0,1,1,0,0,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,1,2,1,0,0,0,0,0,0,0,1,0,1,1,1,1,2,1,1,2,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0,2,2,1,0,1,0,0,0,1,0,1,0,1,1,1,0,0,0,1,0,1,2,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,0,2,2,0,0,0,0,1,0,0,0,0,0,2,1,2,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,2,0,0,1,0,2,0,1,1,0,1,0,0,1,0,1,1,0,2,0,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,2,1,0,2,0,1,1,0,0,0,1,0,2,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0,2,0,1,0,1,0,0,0,2,1,0,1,1,1,2,1,1,0,0,0,0,0,0,1,1,0,2,0,2,0,1,2,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,2,2,1,0,0,0,0,0,1,1,1,1,0,2,1,0,0,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,2,1,0,2,0,0,0,0,0,0,0,0,1,2,0,0,1,0,1,1,2,1,1,0,1,0,1,0,0,1,1,0,1,0,0,2,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,1,1,1,2,1,1,0,0,0,0,1,0,0,2,0,2,1,1,0,2,0,0,0,0,0,0,0,0,1,0,2,1,0,1,2,0,1,2,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0,2,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,1,0,2,0,1,0,1,0,0,1,2,2,0,0,0,2,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,2,0,0,2,0,2,0,1,1,1,0,0,1,2,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,2,0,0,2,1,0,1,2,1,0,1,1,1,1,0,0,0,1,1,1,1,1,0,1,2,0,0,2,0,1,1,1,0,0,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,2,0,0,1,2,0,0,1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,2,0,1,0,0,0,0,0,0,2,0,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,2,1,2,1,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,2,0,1,0,0,1,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,1,2,0,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,2,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,0,2,0,2,0,0,0,1,0,0,0,0,2,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,1,1,0,0,1,0,1,2,0,0,1,0,0,0,1,2,0,1,1,0,1,0,1,1,0,2,1,1,1,1,0,1,0,0,0,0,1,0,1,1,2,1,2,1,0,0,1,0,1,0,0,1,0,0,0,0,2,1,0,1,0,1,0,0,1,1,0,1,0,0,2,0,0,0,1,0,0,0,0,1,0,0,2,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,2,0,0,1,0,0,0,0,1,1,0,2,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,1,0,0,0,2,2,0,0,2,2,0,0,0,1,0,0,1,0,2,0 0,0,1,2,0,0,0,1,0,2,0,2,0,0,0,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,2,0,1,0,1,1,0,0,0,2,0,2,0,0,0,2,0,0,1,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,2,0,0,0,2,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,2,1,2,1,0,0,0,0,2,0,1,0,2,2,0,0,1,2,2,0,1,1,1,0,0,0,0,1,0,1,1,1,1,1,0,0,0,2,1,1,0,0,1,0,1,0,0,0,0,2,1,1,1,0,0,0,0,0,1,1,0,2,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0,2,2,0,1,0,0,0,0,0,1,1,2,0,0,1,0,0,2,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,2,0,1,1,0,0,2,0,0,0,1,1,1,2,0,0,0,1,0,0,1,0,0,1,2,0,0,0,0,0,1,0,0,1,0,1,1,2,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,1,1,0,0,1,2,0,0,1,1,0,0,1,1,1,1,2,2,0,0,2,0,1,1,0,0,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,2,1,0,0,2,1,0,0,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,1,2,0,1,0,1,0,1,1,2,1,0,2,2,2,1,0,1,1,2,1,0,0,2,2,0,1,1,0,0,1,0,0,1,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,2,2,1,1,1,0,2,2,1,0,0,2,1,0,0,1,1,0,0,0,2,0,0,1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,2,1,1,0,0,2,0,0,0,1,1,0,0,0,1,2,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,2,0,0,1,0,0,1,1,0,1,0,1,1,1,1,0,0,0,1,2,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,2,0,0,0,1,0,0,2,0,0,1,0,0,1,2,1,1,1,0,2,0,0,1,0,0,2,0,1,0,0,1,0,2,1,2,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,1,0,0,0,1,1,0,2,1,0,2,0,0,1,0,1,0,0,0,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,2,1,2,1,0,0,1,0,1,0,0,0,0,0,1,0,0,2,0,0,0,1,0,1,0,0,1,2,0,1,0,1,0,1,0,1,1,0,0,0,0,0,2,0,1,2,1,0,1,0,2,1,1,2,1,2,0,0,1,0,1,0,1,0,0,0,1,0,0,2,0,0,0,0,0,1,1,0,1,1,0,0,0,2,0,1,0,0,0,0,0,0,0,1,1,2,1,2,1,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,1,1,2,2,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,1,0,1,1,1,0,2,1,0,2,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,2,0,0,2,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,1,2,0,0,1,0,0,0,1,1,0,1,0,2,0,0,2,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,1,2,0,1,0,2,0,0,0,0,0,0,0,0,1,1,0,1,0,1,1,0,0,1,2,1,1,0,2,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0 0,0,0,2,1,1,0,1,2,0,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,2,0,1,1,1,0,1,1,1,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,1,2,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,1,0,2,0,1,0,1,2,1,1,1,0,1,0,1,0,1,1,1,0,2,1,0,1,0,0,0,1,0,0,0,2,0,1,2,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,2,0,0,1,2,0,0,1,2,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,2,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,2,0,1,1,0,0,2,0,0,1,0,1,2,2,0,0,1,0,0,1,2,0,2,0,2,0,1,1,1,1,1,0,0,0,1,1,0,2,0,0,0,0,0,1,0,1,0,0,1,0,2,0,0,1,1,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,2,2,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,1,2,0,0,1,1,0,1,0,2,0,1,0,0,2,0,0,2,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,1,1,1,0,1,1,0,0,0,1,0,1,2,2,2,0,1,2,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,2,1,2,2,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,1,0,2,0,1,0,0,0,0,0,1,1,0,1,0,0,0,2,1,2,0,0,0,0,0,0,0,1,0,1,0,1,0,2,0,0,0,0,0,1,1,0,0,2,2,0,1,0,2,1,0,1,1,0,1,0,0,0,0,0,0,1,2,0,1,0,1,0,2,1,1,0,1,1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,2,2,2,1,0,0,1,0,0,2,0,0,1,0,0,0,2,0,1,0,0,2,0,0,1,0,0,0,1,0,1,1,0,0,2,0,1,0,1,2,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,2,1,0,2,1,0,1,0,1,1,1,0,1,0,2,0,0,0,1,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,1,0,0,1,1,2,2,0,1,0,1,0,0,0,1,0,2,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,2,2,0,1,1,0,1,0,0,0,0,2,0,0,0,1,0,1,0,1,1,2,0,0,0,0,1,0,2,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0,2,0,0,2,2,1,2,0,0,0,1,1,1,0,0,0,0,0,0,0,2,1,0,0,1,0,1,0,2,0,2,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,2,0,1,2,0,1,0,0,1,0,0,1,0,0,2,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,2,0,1,0,0,0,1,2,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,1,2,1,0,1,1,2,2,0,0,1,0,0,2,0,0,0,0,0,0,1,0,2,1,0,0,0,0,0,2,0,1,0,0,1,0,1,1,0,0,1,0,0,1,1,2,2,1,0,1,1,2,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0 1,0,1,1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,2,1,1,1,1,1,0,0,2,0,0,0,0,0,1,0,2,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,2,0,2,1,1,1,0,1,0,1,1,0,0,0,0,0,1,1,0,1,0,2,0,2,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,2,1,1,0,2,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,2,0,0,0,1,0,0,2,0,0,0,0,1,0,0,2,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,1,1,0,2,0,0,0,0,1,1,0,1,1,1,1,1,0,0,2,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,1,1,0,2,0,0,1,0,0,0,2,1,0,0,1,1,0,0,0,1,0,0,1,2,1,0,0,1,0,0,1,0,0,2,1,0,0,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,2,0,0,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,2,1,0,0,1,2,0,0,1,1,0,2,0,1,0,0,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,2,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,2,0,0,1,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,1,0,0,2,0,1,0,0,1,1,0,0,0,0,2,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,2,0,1,1,2,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,2,2,1,1,1,1,0,0,0,1,0,0,0,1,1,0,2,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,1,2,1,0,0,0,1,0,0,1,1,1,1,0,0,1,0,1,0,0,1,2,1,1,1,0,1,0,1,1,1,1,0,2,1,0,0,0,0,1,0,0,0,2,0,0,1,0,1,0,0,1,0,0,0,2,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,2,0,0,0,1,0,0,0,1,0,2,0,1,1,0,0,0,0,2,1,1,0,0,0,2,0,0,2,0,2,0,0,1,1,0,1,1,2,0,1,1,0,0,0,0,2,1,1,0,1,0,0,0,2,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0,1,0,1,2,0,2,1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,1,1,0,1,0,0,0,1,2,0,0,0,1,1,2,1,2,0,1,0,0,0,1,0,1,1,0,1,0,2,0,2,1,0,0,2,1,0,1,1,1,1,2,1,1,1,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,1,2,0,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,2,0,1,1,0,0,0,1,2,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,1,1,1,0,0,0,1,0,2,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,2,1,0,0,1,0,0,1,0,0,1,2,1,0,2,0,0,1,0,0,1,0,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0 0,0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0,2,1,2,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,2,1,1,0,1,0,0,0,2,0,1,1,0,0,0,0,1,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,0,1,2,2,0,0,0,1,0,0,1,2,0,1,0,0,0,1,1,1,1,0,1,1,0,2,0,1,0,1,1,0,1,0,0,1,1,2,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,1,1,1,0,1,2,1,0,0,1,1,0,0,0,0,1,1,2,0,0,1,0,0,1,0,0,0,0,2,0,1,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,2,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,2,2,2,1,0,2,0,0,2,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,1,2,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,2,0,1,1,1,0,0,1,0,0,1,0,1,1,0,2,2,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,2,1,0,0,0,1,1,0,0,0,0,0,2,0,1,0,1,1,0,0,0,0,2,0,0,0,1,0,0,2,0,1,0,1,1,1,1,0,0,0,0,1,2,1,0,0,2,0,1,2,1,0,0,0,0,1,0,0,1,1,2,1,1,2,1,2,1,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,2,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,2,1,1,1,0,1,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,1,1,1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,0,1,0,1,0,0,1,2,0,1,1,1,0,0,0,1,2,2,2,0,0,0,2,1,1,0,2,1,0,0,0,0,1,1,0,2,1,1,1,1,0,0,0,2,1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,1,2,0,1,0,1,0,1,0,0,0,0,0,2,0,1,0,2,0,0,1,0,1,0,2,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,2,2,0,0,2,2,1,1,0,0,1,2,2,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,2,1,0,0,0,2,0,2,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,2,0,0,0,0,1,2,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0,2,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,1,1,1,0,1,1,0,0,2,1,0,2,1,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,2,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,2,2,0,1,0,0,0,1,0,0,1,1,0,2,1,1,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,2,0,1,0,0,2,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,1,1,1,0,0,1,0,0,1,1,0,2,0,0,0,1,1,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0 1,0,2,1,0,0,1,0,0,0,2,1,0,2,2,0,0,1,0,0,0,0,0,0,2,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,1,1,1,0,2,1,2,1,2,1,2,0,0,0,1,0,2,1,2,0,0,0,0,1,0,0,0,1,1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0,1,2,0,0,0,1,0,0,2,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,2,0,0,1,0,0,1,0,0,1,1,1,0,1,2,2,1,0,1,0,2,1,2,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,2,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,2,1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,2,1,1,1,0,1,2,2,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,2,1,0,0,0,1,2,1,1,0,1,0,2,0,1,0,0,1,0,0,2,2,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,2,0,1,0,1,0,0,0,1,0,0,2,0,2,1,0,1,1,0,0,0,0,0,1,1,1,0,2,0,2,0,1,2,1,1,0,0,0,0,0,2,2,1,1,1,1,2,1,0,0,1,1,2,0,1,0,2,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,1,0,1,2,1,0,2,0,0,0,1,2,1,0,1,0,1,0,0,0,2,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,1,1,0,0,1,1,2,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,2,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,2,0,1,1,0,0,0,2,1,1,1,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,1,0,0,0,1,0,1,1,1,0,2,2,0,1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,1,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,2,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,0,2,1,1,1,0,0,1,0,0,0,1,0,1,0,2,0,1,1,0,0,0,0,1,1,0,1,0,0,2,0,1,0,0,0,0,0,0,1,1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,1,2,1,0,0,0,1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,2,1,2,2,0,0,0,0,0,2,0,0,1,0,2,0,0,2,1,0,0,1,0,0,0,0,2,1,2,2,1,0,2,1,0,1,0,0,0,2,2,0,2,2,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,2,0,1,0,0,0,0,1,1,0,0,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,2,1,0,0,1,1,0,0,2,1,1,0,0,0,2,0,1,0,0,0,0,1,1,2,1,0,0,1,1,0,0,1,2,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,2,0,0,1,0,0,1,0,0,1,1,0,0,0,1,1,1,1,1,1,0,0,0,1,2,0,0,1,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,2,0,1,1,0 0,0,0,2,0,0,1,0,1,2,0,1,0,2,0,0,0,1,0,0,1,0,1,1,1,0,1,2,0,0,1,0,2,1,0,0,2,1,2,0,0,0,0,1,0,1,0,1,0,0,1,0,1,1,0,0,0,0,2,0,0,0,0,0,0,1,1,2,0,1,2,0,0,2,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,2,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,1,1,0,0,1,2,0,1,1,0,0,0,2,2,0,0,1,0,0,0,1,1,2,1,0,2,0,0,1,0,0,0,1,0,2,0,0,1,0,1,1,0,0,0,1,1,2,1,0,0,0,0,0,1,0,0,0,2,1,0,1,0,0,0,2,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,2,1,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,2,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,1,1,1,2,1,1,0,1,0,1,0,2,1,1,0,0,0,0,0,0,0,0,1,0,2,0,1,1,0,1,1,1,0,2,2,2,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,2,1,0,0,0,2,0,1,0,0,0,0,0,2,1,0,0,1,1,0,0,1,2,0,1,0,1,2,0,0,1,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,1,2,1,1,1,0,1,0,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,2,1,2,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,2,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0,2,0,2,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,2,0,1,2,1,0,0,1,0,0,0,2,0,1,0,0,1,0,0,0,0,1,0,0,1,1,1,1,1,2,0,1,0,0,0,0,0,0,0,1,0,0,1,2,0,1,0,0,1,1,0,0,0,0,0,0,1,0,2,1,0,0,2,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,2,1,0,0,0,2,0,0,1,1,2,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,2,0,0,0,0,1,1,1,0,2,0,0,0,0,0,1,1,0,1,1,0,2,0,0,2,1,2,1,2,1,0,0,0,1,0,1,1,0,2,0,0,1,0,2,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,2,0,1,0,1,0,0,0,0,1,1,1,2,0,0,0,1,2,0,2,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,2,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,2,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,2,1,0,0,2,2,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,1,2,1,0,1,2,1,0,1,1,0,0,1,1,2,1,0,0,1,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,2,0,1,0,0,2,0,2,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,1,1,0,2,0,1,0,1,0,2,0,0,2,0,1,0,0,0,1,2,0,0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,2,0,2,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,1,1,1,1,0 1,0,2,0,1,0,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,2,0,2,2,0,1,0,0,0,2,0,0,1,2,0,0,0,1,0,2,1,0,0,1,1,0,0,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,2,0,1,0,1,0,2,0,0,1,0,1,2,0,0,1,2,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,1,2,0,0,0,0,0,1,1,0,2,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,1,2,0,0,2,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,2,1,0,1,2,0,0,1,0,0,1,1,0,1,1,1,2,0,0,0,0,1,2,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,0,1,0,2,0,0,1,1,1,1,1,0,1,0,2,0,0,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,2,1,0,0,0,1,2,1,2,1,2,0,0,1,2,1,1,0,1,0,2,0,0,0,0,0,1,1,1,2,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,2,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,2,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,2,0,0,0,0,2,0,1,1,2,0,0,2,0,0,0,2,0,1,2,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,2,2,1,0,1,1,0,1,1,0,1,0,0,1,0,1,2,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,2,0,1,1,0,0,1,0,0,0,0,1,0,2,0,0,1,0,0,1,0,2,1,0,1,2,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,1,0,0,0,1,0,0,0,2,2,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,2,1,0,2,0,0,0,1,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,1,1,1,0,1,0,1,0,1,1,0,1,1,1,1,0,1,0,1,0,2,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,2,1,0,0,1,1,0,0,1,0,1,0,2,0,0,0,2,0,1,0,0,0,1,0,0,2,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,2,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,1,0,1,0,1,1,0,2,0,0,0,0,0,1,2,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,2,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,0,2,1,1,0,0,0,0,0,2,2,1,0,0,2,2,0,0,0,0,0,1,1,1,1,2,0,0,2,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,2,1,2,1,1,1,0,0,1,0,0,0,0,0,1,0,0,1,2,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,2,0,1,1,0,0,0,2,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,2,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,2,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,2,1,0,0,1,1,1,1,1,2,0,0,0,0,0,1,1,1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0 1,0,0,2,0,0,1,0,0,1,1,0,0,0,2,0,0,1,0,0,0,1,0,0,1,1,0,2,0,0,2,0,0,0,0,0,0,2,1,0,1,0,0,1,2,0,0,2,1,0,0,0,0,0,1,0,0,0,1,2,0,0,1,0,0,0,0,0,0,1,1,0,2,1,0,1,2,1,0,0,0,0,0,0,0,0,1,0,2,1,1,0,1,0,1,2,0,0,2,0,0,0,0,1,0,1,1,0,1,1,1,2,0,1,1,1,0,2,1,2,0,1,1,0,0,0,0,0,1,1,0,2,1,1,0,0,1,0,1,0,0,0,1,0,1,2,0,2,0,0,2,1,0,0,0,0,0,1,2,0,0,0,2,0,1,0,1,0,0,0,0,1,0,2,0,0,2,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,2,0,0,2,0,0,0,2,0,0,0,0,0,1,0,1,0,1,1,1,2,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,2,0,0,2,2,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,2,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,2,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,2,2,0,0,0,1,0,2,0,0,0,0,1,2,1,1,0,0,0,1,1,1,2,0,0,0,0,1,0,2,1,0,1,0,0,1,0,0,0,0,2,1,0,1,1,1,0,1,2,0,0,1,0,1,0,1,1,1,1,0,0,1,2,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,2,1,1,1,0,0,0,0,2,0,1,1,1,2,2,1,0,0,1,0,2,1,1,0,0,0,2,1,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,1,0,2,0,2,0,1,2,1,0,1,1,0,1,0,1,1,0,1,1,0,2,1,0,1,1,1,0,0,0,0,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0,2,0,0,2,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,2,0,1,0,0,0,2,0,1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,2,0,1,1,0,1,1,0,0,2,1,0,0,0,0,0,1,0,0,2,0,2,1,1,1,1,1,0,1,1,1,0,0,1,0,0,2,1,1,1,2,0,2,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,2,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,0,0,0,2,1,1,1,1,0,1,0,0,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,2,0,2,1,0,1,1,1,2,0,0,0,0,0,0,2,0,0,1,2,0,0,1,0,0,1,1,1,0,0,0,1,2,1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,2,1,0,1,0,1,0,0,0,0,2,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,2,0,1,0,0,1,2,1,1,1,2,1,0,0,0,0,2,1,1,0,2,1,1,2,0,1,0,0,1,1,1,2,0,0,0,0,0,1,1,0,0,1,2,2,0,1,2,0,2,0,0,1,0,1,0,1,0,0,0,0,1,0,0,2,1,0,1,1,1,0,1,1,2,1,0,0,0,0,0,0,1,0,1,0,1,1,1,1,1,1,0,2,0,0,0,1,1,2,1,0,0,2,0,1,0,0,0,0,0,1,0,1,0,0,1,0,2,0,2,1,2,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,0,1,0,0,0,2,1,0,0,1,0,1,0,1,0,1,0,1,0,1,2,0,0,1,0,0,0,2,1,2,1,0,1,0,0,0,1,1,1,0,0,0,0,0,0,2,0,0,0,0 2,0,1,1,1,0,0,2,2,1,0,2,1,1,2,0,1,1,1,0,0,0,1,0,2,1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,1,0,2,1,1,2,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,1,0,2,1,2,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,1,0,2,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0,2,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0,1,2,1,0,0,1,0,1,0,0,1,0,2,1,1,0,1,0,2,1,1,0,0,1,0,2,1,0,1,0,1,1,0,2,0,0,1,0,1,0,1,2,1,1,1,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,2,0,0,0,1,0,0,1,0,1,0,0,2,1,1,1,1,1,0,0,0,0,0,1,0,2,1,0,0,2,0,0,0,0,2,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,2,0,0,0,0,2,1,1,2,2,0,0,1,0,2,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,2,0,2,1,0,0,0,0,1,0,0,1,0,2,0,0,0,0,2,0,1,0,1,2,0,1,1,2,1,0,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,2,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,1,0,2,0,1,0,2,1,0,2,1,1,0,1,1,0,1,0,0,0,1,0,1,0,2,1,0,0,0,0,2,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,2,0,0,0,0,2,0,1,0,0,0,1,0,1,1,0,2,0,1,2,0,1,1,0,0,2,1,0,0,1,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,1,0,0,1,1,2,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,1,2,0,0,0,0,0,1,0,1,0,0,2,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,2,1,0,0,1,1,0,0,0,0,1,0,2,0,1,0,0,1,1,0,1,2,1,1,1,1,0,0,0,2,2,1,0,2,1,0,2,0,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0,2,1,1,1,0,1,0,0,2,2,0,0,2,1,0,2,1,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,2,0,0,0,0,0,1,0,0,1,2,1,1,0,2,1,1,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,1,2,0,1,1,1,0,0,0,0,0,0,0,1,0,0,2,1,0,0,1,0,2,1,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,1,1,0,2,0,2,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,2,0,1,0,0,2,0,0,0,1,2,2,1,0,0,1,2,0,1,1,1,1,1,1,0,0,1,0,0,0,2,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,1,2,0,0,0,2,0,0,1,0,0,0,0,0,1,1,1,2,0,0,0,0,1,0,0,1,2,0,0,0,0,0,0,1,1,0,1,1,1,0,1,1,2,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,2,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,2,0,0,0,0,2,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0,1,2,0,0,0,0,1,0,0,1,0,1,2,0,0,1,0,0,1,0,0,0,1,1,2,1,0,0,0,2,1,0,1,0,1,0,0,0,1,1,1,0,0,0,0 2,0,1,1,0,1,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,2,1,0,1,1,1,0,0,2,0,0,1,0,0,0,1,2,1,2,0,1,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,2,1,0,1,0,1,0,1,0,0,2,0,0,0,0,1,2,1,0,2,1,0,2,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,1,0,2,0,1,0,1,0,0,1,0,0,0,0,0,2,2,1,2,0,0,0,0,2,0,1,0,1,1,2,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,2,1,0,0,0,2,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,1,1,2,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,2,2,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,2,0,2,0,2,0,1,0,0,0,0,0,1,1,0,0,1,2,0,2,1,0,0,0,2,0,2,1,0,0,1,1,1,0,0,2,1,0,1,2,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,2,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,2,0,2,0,1,1,0,0,1,0,0,0,2,2,0,1,1,0,2,1,0,2,0,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,2,1,1,1,0,0,0,0,1,0,0,0,0,1,1,2,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,1,1,1,0,1,2,1,0,0,1,0,0,0,2,1,1,0,0,0,1,1,0,1,1,1,2,0,0,1,0,0,0,0,1,0,1,0,0,1,2,0,1,0,0,2,1,0,1,1,0,0,1,0,0,0,2,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,1,0,1,1,1,1,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,1,2,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,2,2,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,2,0,0,1,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,1,0,1,1,0,1,0,2,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,2,2,1,0,0,0,1,0,1,1,2,1,1,0,1,1,0,0,0,0,0,2,1,0,0,0,0,0,1,1,0,1,0,1,0,2,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,2,0,1,0,2,2,2,1,0,0,1,1,1,0,2,0,2,0,0,0,1,2,0,1,1,0,0,1,0,0,2,1,1,2,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,2,0,0,0,0,1,0,0,1,0,1,1,1,1,0,2,2,0,1,2,1,0,2,1,0,1,0,1,0,1,0,2,2,1,2,1,0,1,2,1,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,1,2,0,0,1,1,1,1,1,1,0,2,0,0,0,0,0,0,0,1,0,0,1,2,1,0,0,0,1,2,1,0,1,1,1,0,0,0,0,0,1,1,2,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,1,1,1,0,0,0,1,2,1,1,1,1,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,2,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,2,2,1,0,0,2,0,1,2,2,2,0,0,0,0,0,1,0,2,1,0,0,1,0,1,2,2,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0 0,0,1,2,0,0,1,0,0,1,2,0,0,0,1,0,0,2,0,0,1,0,1,1,0,0,0,2,0,0,1,0,1,1,1,0,1,0,0,0,2,2,1,0,2,0,0,1,0,0,1,0,1,0,1,0,0,0,1,2,1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,2,1,0,0,1,0,0,2,2,0,0,0,2,1,2,1,1,0,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,1,0,1,1,2,0,0,0,0,0,0,0,0,2,0,0,2,0,1,2,0,2,0,1,0,1,1,0,0,2,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,1,1,2,1,0,1,1,0,2,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,2,2,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,2,0,0,0,1,0,2,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,2,2,1,0,0,0,1,1,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,1,1,2,0,1,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,2,0,2,1,1,1,0,1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,2,2,1,2,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,2,0,0,0,1,0,0,0,2,0,1,0,2,0,2,2,0,0,0,0,1,0,2,0,0,0,0,2,2,0,0,0,0,1,1,1,0,2,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,0,0,2,0,0,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,2,1,2,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,2,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,2,2,1,2,0,2,1,2,0,1,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,1,1,0,0,1,0,0,1,1,1,0,1,0,2,0,0,0,1,0,0,2,1,0,0,1,0,1,0,1,0,2,0,0,1,0,0,0,0,1,2,0,1,1,0,1,1,0,0,1,0,1,2,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,2,1,1,1,0,2,0,0,0,2,1,1,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,2,0,0,1,0,2,0,0,0,0,1,0,1,1,0,0,1,0,2,1,0,1,0,1,0,0,2,0,0,0,1,2,1,1,0,0,0,0,1,1,0,2,1,0,0,0,0,0,0,0,1,0,1,1,2,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,2,1,0,0,1,1,2,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,0,2,1,0,0,0,1,0,0,2,0,1,0,0,0,0,1,0,1,2,0,0,0,0,0,1,1,0,0,2,1,1,0,1,2,1,0,1,0,0,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0,2,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,2,0,1,2,1,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,2,1,0,0,0,1,1,2,1,0,0,2,2,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0 1,0,1,1,1,0,0,2,1,1,2,1,0,1,0,0,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0,2,0,0,0,1,2,0,0,0,2,0,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,0,1,1,1,1,1,1,1,0,1,0,1,2,0,1,1,0,1,1,2,1,0,0,1,0,1,0,1,0,1,2,0,1,1,2,0,0,1,1,1,0,0,1,0,0,0,1,1,2,0,2,1,0,0,0,0,1,0,0,2,0,0,2,1,0,2,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,2,0,0,1,1,2,0,2,0,0,0,0,0,1,0,0,2,1,0,0,1,1,0,1,0,1,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,2,1,1,0,0,0,0,1,2,0,1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,2,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,2,1,1,1,0,0,1,0,1,2,0,0,0,0,0,1,2,1,0,0,0,1,1,1,0,2,0,1,0,2,0,0,0,0,0,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0,2,2,1,0,1,0,0,0,1,1,1,2,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,1,2,0,1,2,0,0,0,0,0,0,0,0,0,2,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0,1,2,1,1,0,0,1,2,0,1,1,0,0,1,0,2,2,2,2,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1,1,1,1,2,0,0,0,1,2,1,1,1,0,1,1,1,2,2,0,0,1,0,1,2,2,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0,1,0,2,1,1,0,1,1,0,2,0,0,0,0,1,1,1,0,1,2,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0,2,0,2,2,0,0,0,1,0,2,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,2,0,0,0,2,2,1,0,0,2,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,2,0,1,0,0,0,1,1,0,2,1,0,1,0,0,1,1,1,2,0,0,2,0,0,0,1,0,1,0,0,0,1,0,0,2,0,0,0,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0,2,0,0,2,1,0,0,0,2,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,1,0,2,0,0,0,0,1,1,2,2,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,2,0,2,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,2,0,0,1,2,0,1,2,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,2,2,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,1,2,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,2,1,1,0,1,0,1,0,0,2,0,1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0 2,0,0,0,0,0,1,0,0,0,0,2,0,0,2,0,0,1,0,0,0,0,0,0,1,0,1,1,1,1,1,0,1,1,0,0,1,2,0,0,0,2,0,2,2,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,2,0,1,1,0,1,0,2,0,0,0,1,0,0,0,0,0,1,2,1,1,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,2,0,1,0,1,0,0,0,0,2,0,1,1,1,0,1,0,0,1,0,0,1,1,1,1,2,2,1,2,0,0,1,0,2,0,1,0,0,0,1,2,0,2,1,0,1,0,2,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,2,1,0,1,0,1,0,0,1,0,2,0,2,0,0,1,0,0,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,2,1,0,2,1,1,0,0,0,0,0,0,0,0,2,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,1,1,0,1,0,0,0,2,1,0,0,1,0,0,2,0,0,1,2,0,1,2,1,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,2,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,2,1,2,0,1,0,0,0,0,1,2,1,1,1,2,0,1,0,1,0,0,0,0,0,0,0,0,2,1,0,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0,1,2,0,0,0,0,1,0,0,1,2,0,1,1,2,0,0,0,0,0,0,1,2,0,0,1,2,0,1,2,0,1,0,0,1,0,1,0,1,1,0,0,0,2,1,0,0,0,1,1,0,1,0,1,0,1,0,0,2,1,0,0,0,1,1,2,0,1,0,0,0,0,2,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,2,0,0,0,1,0,0,2,0,1,2,0,0,0,0,1,0,1,0,0,0,2,0,1,2,1,0,0,1,0,0,2,0,0,0,0,1,0,1,0,0,0,0,2,2,0,0,1,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,1,0,2,0,0,0,0,1,1,0,1,0,0,1,0,0,0,2,1,0,1,0,1,0,1,1,0,1,1,2,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,2,0,1,0,0,0,0,0,1,0,1,1,0,1,1,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,2,0,2,2,1,1,1,0,1,0,1,2,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,2,0,0,0,0,0,0,0,0,2,1,1,0,1,1,1,0,0,0,1,0,2,1,1,2,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,2,0,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,2,1,0,0,0,0,2,1,0,0,0,0,1,0,0,1,2,1,0,1,1,0,0,0,1,0,1,0,0,0,0,2,0,1,0,0,2,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,2,0,0,0,0,0,1,1,2,0,0,0,0,0,1,0,0,1,0,1,0,0,2,1,0,0,0,1,0,0,2,0,0,2,0,0,0,0,0,1,0,0,0,0 1,0,1,1,0,0,0,0,0,1,2,0,1,0,1,0,1,2,1,0,0,0,2,0,0,1,0,1,1,1,2,0,0,1,0,0,0,0,0,1,1,0,1,0,0,2,0,2,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,1,1,0,1,2,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,2,0,0,0,1,1,0,0,1,1,1,0,0,0,0,1,0,2,1,1,0,2,0,0,0,0,1,2,0,0,0,0,2,1,0,0,0,1,1,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,2,0,0,0,1,0,1,0,0,0,1,1,1,0,1,2,0,0,0,0,0,0,0,1,0,2,1,0,0,1,0,2,0,1,0,0,2,0,0,2,1,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,2,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,2,0,0,2,0,0,1,0,2,1,0,0,1,0,1,0,1,2,0,0,0,2,0,2,0,0,0,1,1,1,0,0,1,1,2,1,0,1,0,1,0,0,1,0,1,0,0,0,0,1,0,1,0,1,2,0,2,0,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,2,1,0,0,0,1,0,0,1,1,0,1,0,0,2,1,1,2,1,2,1,1,1,0,1,0,0,1,0,1,0,0,0,1,2,0,0,1,2,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,2,0,1,0,0,0,2,0,1,1,1,1,0,0,2,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,2,0,1,0,0,0,0,1,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,1,1,1,1,1,1,0,0,1,0,2,0,0,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,1,1,0,2,0,0,1,1,1,0,0,1,0,0,0,0,0,2,0,0,0,1,2,0,0,0,2,0,0,2,0,0,1,0,1,0,1,0,1,1,2,1,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,2,0,1,0,1,0,0,0,2,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,2,1,0,2,0,0,1,0,0,1,0,0,1,0,0,0,1,2,1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,2,0,1,0,0,0,0,2,0,0,1,2,0,0,0,2,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,1,0,2,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,2,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,2,1,2,0,0,0,0,0,2,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,1,2,0,0,0,0,2,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,2,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,1,1,0,0,1,1,2,0,1,0,0,0,1,2,2,0,0,0,1,2,1,0,0,1,0,1,0,0,1,0,0,1,2,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,2,0,0,0,1,1,0,1,1,0,0,2,1,0,0,1,1,1,2,0,0,0,0,1,1,0,0,2,0,0,0,2,0,0,0,2,1,0,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,2,0,0,0,0,0,2,1,0,1,0,0,0,1,2,0,0,0,0,1,0,1,0,2,0,2,0,2,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0 0,0,0,2,0,0,0,0,2,0,1,1,0,0,1,0,1,2,1,0,0,0,0,0,0,0,1,1,0,0,1,0,2,2,0,0,1,1,1,0,1,2,1,0,1,0,0,1,0,0,0,0,0,0,1,0,2,0,2,1,1,0,0,0,0,0,2,0,1,1,1,2,1,0,0,0,0,2,0,0,0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,1,1,0,2,0,1,2,0,2,0,1,0,0,0,2,0,0,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,1,1,0,1,0,1,1,2,0,0,1,1,0,0,0,0,2,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,2,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,2,1,0,1,2,0,1,0,2,1,0,1,1,0,0,1,2,0,0,0,2,0,0,1,0,0,0,2,1,2,2,2,0,2,1,2,0,0,1,0,2,0,0,0,0,1,0,2,2,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,1,2,1,1,1,1,0,0,0,2,0,2,0,0,1,0,1,0,0,0,0,0,1,1,1,0,1,0,2,1,2,0,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,2,2,0,0,0,2,2,1,0,0,1,1,0,0,2,2,0,0,2,1,0,0,0,0,0,2,1,2,1,0,1,0,0,0,2,1,0,0,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,2,0,0,1,0,0,2,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,1,0,2,2,1,1,0,0,2,2,0,0,0,0,0,1,0,1,0,2,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,1,1,1,2,1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,2,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,0,0,1,1,1,0,1,2,1,0,0,0,0,0,1,0,2,0,0,0,1,0,1,1,0,1,1,0,0,0,0,2,1,0,2,1,0,0,0,0,0,0,0,2,0,0,1,1,1,0,2,2,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0,2,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,0,2,1,0,0,1,0,2,1,0,0,1,1,1,0,2,1,2,0,0,0,0,0,2,1,0,0,1,1,0,0,2,1,2,0,0,0,0,1,1,1,1,0,0,1,0,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,2,2,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,1,0,0,2,1,0,0,1,1,0,1,1,0,0,1,0,1,2,1,1,0,0,1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,1,2,1,0,0,1,0,1,0,0,2,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0,2,0,0,1,0,2,1,1,0,2,0,0,0,0,0,0,1,2,0,1,1,0,0,0,1,0,2,0,1,1,2,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,2,2,0,2,0,0,1,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,2,1,2,1,0,0,0,0,0,0,1,0,0,1,0,2,1,2,1,0,1,0,2,1,0,1,1,0,0,0,1,2,0,2,0,0,0,0 0,0,1,1,0,0,0,1,0,1,1,2,0,1,0,1,0,1,0,0,0,0,1,0,2,0,0,1,1,1,0,0,0,0,1,0,2,1,1,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,2,1,2,1,0,0,0,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,0,2,1,0,1,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,1,1,0,2,0,1,2,2,2,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,1,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,2,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0,0,1,0,1,2,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,2,2,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0,2,0,0,1,0,0,1,0,1,0,0,2,1,2,0,1,2,0,0,0,0,0,1,0,0,0,0,0,1,1,0,2,1,0,0,0,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,2,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,2,0,0,1,1,0,0,0,1,1,0,1,1,2,0,0,0,0,1,0,0,2,1,0,0,0,1,1,1,0,0,1,0,0,0,1,2,0,0,1,1,2,2,0,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,2,1,2,0,0,1,0,0,1,0,0,0,1,0,1,0,0,2,1,0,0,0,1,1,1,0,1,1,0,0,2,2,1,1,0,0,0,1,0,1,2,0,0,1,1,1,1,2,1,0,2,0,0,0,0,0,0,0,1,2,0,0,1,0,1,1,1,0,0,0,0,0,0,2,0,0,0,1,0,2,0,1,0,0,0,1,1,0,0,0,1,2,0,2,0,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1,2,2,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,2,0,1,2,0,2,0,0,1,0,2,1,1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,0,2,2,1,0,0,0,1,0,1,2,0,0,0,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,2,0,0,1,0,0,0,1,0,0,0,0,1,1,1,1,1,0,2,0,2,0,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,2,0,0,1,0,0,2,0,1,0,0,0,1,1,1,1,0,1,2,2,2,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,2,0,0,0,1,0,2,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,2,1,0,0,1,0,0,1,2,0,0,0,1,0,2,0,0,0,1,1,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,2,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,2,0,0,0,2,0,0,1,0,1,0,0,1,2,1,2,0,0,1,0,0,0,0,2,2,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,2,0,1,0,0,0,0,2,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,2,0,2,0,0,1,1,1,0,1,0,1,0,1,1,0,2,0,0,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,1,2,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0,1,2,0,0,0,2,0,1,1,0,2,1,0,1,1,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,1,1,1,1,0,1,0,2,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,2,1,0,0,0 0,0,1,1,0,0,0,1,1,2,1,0,0,1,2,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,2,1,0,2,0,1,0,2,0,0,0,0,0,0,0,1,0,1,2,1,0,1,0,0,0,0,2,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,2,1,1,1,1,2,1,1,1,0,0,0,1,0,0,0,0,1,2,0,0,2,2,0,0,0,2,1,0,0,0,1,1,0,2,2,2,0,0,0,0,0,0,0,1,2,2,2,0,0,2,0,0,0,2,2,1,1,0,0,1,1,1,0,1,0,0,0,2,1,1,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,2,0,1,1,0,0,0,0,1,0,2,2,0,1,0,1,1,1,2,0,1,1,1,1,1,1,1,0,2,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,2,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,1,1,1,1,0,2,0,2,0,0,0,2,1,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,2,1,0,1,0,0,0,0,1,0,0,0,1,0,2,1,0,0,0,1,0,1,0,0,1,0,1,2,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,2,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,2,0,2,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,1,0,0,0,2,2,2,0,1,1,0,0,1,0,0,1,0,1,0,1,1,2,0,2,0,1,1,0,0,1,1,1,1,2,2,1,0,0,2,1,0,2,0,1,0,0,0,0,1,0,0,2,0,0,1,1,1,0,2,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,2,0,0,0,0,2,0,1,0,2,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0,2,1,0,0,2,1,0,0,0,1,1,1,0,0,1,0,1,0,1,1,1,1,1,2,0,0,0,0,1,1,0,0,1,0,0,1,1,0,1,1,1,2,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0,1,0,0,1,1,2,0,0,1,1,1,0,0,1,1,1,1,0,0,0,1,0,1,1,0,2,0,1,0,0,1,2,0,1,0,0,1,1,0,1,1,2,1,0,1,1,0,0,2,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,2,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,2,0,0,0,0,1,2,0,1,1,0,0,0,1,0,0,1,1,0,0,2,1,0,1,0,0,0,1,0,0,0,0,1,1,2,1,0,0,1,1,0,0,1,0,0,0,1,2,0,0,0,1,1,1,1,1,0,0,1,0,2,1,0,1,0,2,1,0,2,1,0,0,1,1,0,0,2,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0,0,2,1,1,0,1,0,1,0,0,2,0,1,1,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,2,0,1,0,0,1,1,0,0,0,0,2,1,0,0,1,0,0,0,0,2,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,1,1,2,1,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,2,1,0,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0 1,0,0,1,1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,2,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,2,1,0,1,0,0,1,0,0,0,2,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,2,1,0,0,0,1,2,0,1,2,0,0,0,1,0,1,0,0,0,0,1,0,0,0,2,0,2,0,1,0,1,0,1,0,0,0,0,2,1,0,1,2,0,0,1,0,0,0,0,0,1,1,1,2,0,1,2,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,2,1,1,0,2,0,0,0,0,0,0,0,0,0,1,1,2,1,0,2,1,1,1,1,1,0,0,0,2,1,0,2,0,0,2,0,0,1,2,1,0,1,1,1,2,2,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,2,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,0,2,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,2,1,0,1,1,2,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,2,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,2,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,1,1,2,0,0,1,0,0,0,0,0,0,0,1,1,0,2,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,1,1,1,1,1,1,0,0,0,0,1,2,0,2,1,1,0,0,1,2,0,2,0,2,0,0,0,0,1,0,1,0,0,0,0,2,2,2,1,1,0,2,1,0,0,0,1,0,0,0,0,0,1,0,0,0,2,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,2,0,1,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,2,2,0,2,0,1,0,0,0,0,0,1,0,0,2,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,1,1,1,1,0,1,0,2,1,0,2,1,0,0,0,0,0,1,1,0,0,0,0,1,0,1,2,1,0,0,1,0,0,0,0,1,1,0,1,1,2,1,0,1,1,1,2,2,0,2,1,0,0,2,1,0,0,2,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,2,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,2,1,0,1,1,0,0,2,0,0,1,1,0,0,0,2,0,1,0,0,0,0,0,0,2,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,2,0,1,1,1,0,1,0,1,1,1,1,2,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,2,0,0,2,0,0,1,1,0,0,1,0,1,0,0,0,1,2,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,2,0,0,0,1,0,0,1,0,0,1,1,1,1,1,1,0,0,0,1,2,1,1,2,2,0,0,0,0,1,0,0,0,2,0,1,0,1,0,1,0,0,0,0,0,0,0,0,2,1,2,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,2,0,0,0,1,1,1,0,0,1,1,2,0,1,1,1,2,0,0,0,0,1,0,0,1,0,0,0,0,0,1,2,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,1,1,0,0,2,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,1,0,0,1,1,0,2,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,1,2,0,1,1,0,0,0 0,0,1,0,0,0,0,0,1,0,1,0,1,2,0,2,0,2,0,0,1,0,2,1,2,2,0,2,0,0,2,1,2,1,1,0,1,1,0,0,2,2,1,0,1,1,0,1,1,0,2,0,0,0,2,0,2,0,0,1,0,0,0,0,1,2,1,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,1,2,0,0,0,0,1,0,0,2,0,0,2,0,2,2,1,1,0,0,2,1,2,0,1,0,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0,0,2,0,2,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,2,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,1,1,0,1,2,1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,2,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,1,0,2,0,1,0,1,0,1,0,0,2,0,1,1,1,0,0,2,0,0,0,1,1,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,2,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,2,0,1,1,0,1,2,2,2,2,0,0,0,1,0,0,1,0,2,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,1,1,1,1,0,0,0,0,2,0,1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,2,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,2,0,0,1,0,0,1,0,2,0,1,0,0,0,0,0,1,0,1,0,0,0,0,2,1,1,2,0,0,1,0,1,0,1,0,1,1,0,0,2,0,1,1,1,0,2,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,2,0,0,0,1,0,1,0,1,1,0,1,0,1,1,0,1,2,0,1,0,0,0,0,1,1,1,2,1,0,1,0,0,2,1,2,1,1,2,2,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,2,1,1,0,0,2,0,0,2,1,0,0,0,2,0,0,0,0,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,2,0,1,1,1,2,0,1,1,1,0,0,0,0,0,0,2,0,0,2,0,0,0,1,1,1,0,0,0,0,0,1,1,0,1,2,0,0,1,0,0,2,1,0,0,0,2,1,1,0,0,2,2,0,2,0,0,0,2,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,1,1,2,0,0,1,0,2,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,2,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,2,0,1,1,0,0,0,1,1,1,1,0,0,1,0,1,0,2,1,0,2,0,0,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,2,0,2,1,1,1,0,0,1,0,0,0,2,0,1,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0,1,0,2,0,0,1,0,2,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,1,2,1,0,0,1,1,1,0,1,2,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,2,1,0,0,0,0,1,1,0,0,2,0,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0 0,0,1,1,1,0,0,2,0,0,0,1,2,2,1,0,0,1,1,0,0,1,0,0,1,2,1,2,0,0,1,0,0,0,1,0,1,2,1,1,1,2,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,2,1,0,0,0,1,0,0,1,0,2,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,2,2,0,1,0,0,0,0,1,0,0,2,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,1,0,1,1,1,0,2,1,2,1,0,1,0,0,0,0,1,1,0,0,2,0,1,0,2,0,0,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,0,1,2,1,0,1,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,2,0,1,2,0,0,0,0,1,1,0,1,0,1,1,2,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,2,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,1,1,1,2,0,1,1,2,0,2,1,0,0,0,1,2,1,0,1,0,1,1,0,2,0,0,0,1,1,2,1,1,1,0,0,1,2,1,0,1,1,2,1,0,0,1,0,0,0,0,0,0,0,2,0,1,1,0,0,0,1,0,0,1,0,1,0,0,2,1,2,0,1,0,1,1,0,2,0,0,1,1,0,0,2,0,0,0,1,2,0,1,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,1,2,0,0,1,1,1,1,0,0,1,0,1,2,0,0,0,2,0,0,0,1,0,2,0,0,1,1,0,0,0,1,0,1,1,0,1,2,2,0,0,2,1,1,1,0,1,0,1,2,1,0,1,0,1,0,1,2,1,0,0,0,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,1,1,0,0,0,0,0,1,1,0,1,0,2,0,0,1,0,2,2,0,0,0,0,0,2,2,1,0,1,1,0,0,2,0,0,1,0,1,0,2,0,0,0,0,1,1,2,1,1,0,0,1,0,1,1,1,1,1,0,0,0,1,2,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0,2,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,2,0,0,1,2,0,1,0,0,0,1,0,2,2,0,0,1,0,0,1,2,0,1,1,0,2,1,0,0,0,1,2,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,2,0,1,0,0,1,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,1,0,1,0,1,1,0,2,1,1,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,2,0,2,0,1,0,0,0,1,0,0,0,0,2,1,1,1,0,0,0,1,2,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,2,2,0,0,0,0,0,0,0,1,0,2,1,1,1,1,1,1,0,0,0,0,0,1,0,2,2,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,2,1,0,1,2,0,0,0,0,1,2,1,0,2,0,1,0,0,2,0,0,1,1,2,1,0,1,1,1,1,2,0,0,0,1,0,0,0,1,1,0,0,1,0,1,1,0,1,0,1,1,1,2,0,2,0,1,2,0,0,1,2,0,0,0,0,0,0,1,0,1,0,1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,2,0,1,0,0,0,0,1,0,0,0,2,0,1,1,0,1,2,1,0,0,1,1,0,0,0,2,1,2,0,0,0,0,1,0,0,0,0 0,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0,2,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,2,0,2,0,1,0,0,0,0,1,2,2,1,0,0,0,0,0,0,0,1,0,2,0,1,1,1,1,1,0,0,0,0,0,0,2,1,1,0,0,1,1,0,1,1,0,2,0,1,0,1,0,1,1,0,1,1,1,0,1,2,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0,2,0,1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0,2,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,2,0,2,0,0,0,1,1,1,1,0,0,1,0,0,0,0,2,0,1,0,1,2,0,0,0,1,0,0,1,0,1,2,0,1,0,1,1,0,0,0,0,1,1,1,1,0,2,0,1,0,1,0,1,0,0,0,0,1,0,2,0,0,0,2,1,0,2,1,0,1,1,0,0,0,2,1,1,0,0,1,0,1,0,0,0,0,0,2,0,2,1,1,1,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,1,2,0,1,0,1,1,2,2,0,0,0,0,0,0,1,0,1,1,0,1,0,2,1,0,2,2,2,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,2,0,1,0,1,1,0,2,0,0,0,1,0,0,0,1,0,1,0,0,2,0,0,1,1,0,0,0,0,0,1,2,2,1,2,1,0,2,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,2,0,0,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,1,2,0,0,0,0,0,0,2,1,0,0,1,2,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,2,1,0,0,0,0,0,2,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,2,1,0,1,1,0,0,2,0,0,0,2,2,2,1,1,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,1,1,0,1,2,2,1,0,0,0,1,2,1,0,0,2,0,0,1,0,1,1,1,1,0,1,1,0,1,2,0,0,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,1,1,0,2,0,2,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,2,0,0,0,0,1,2,0,1,1,0,0,0,1,0,1,0,1,0,2,0,0,0,1,2,1,1,0,0,2,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,2,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,1,0,2,1,1,0,1,2,0,1,1,1,0,0,0,1,0,2,0,2,0,1,2,2,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,2,1,0,1,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,1,2,0,0,1,0,0,0,1,1,0,1,0,1,0,1,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,0,0,0,1,0,1,2,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,2,1,1,1,0,0,2,0,1,0,2,0,1,1,0,1,1,1,1,1,0,1,0,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0 0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,2,0,1,0,0,0,0,0,1,0,0,1,2,0,0,2,0,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,2,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,1,2,1,0,0,1,2,0,1,1,0,0,0,0,0,1,1,0,0,0,1,1,1,0,1,1,1,0,0,1,1,0,1,2,1,1,0,2,0,1,0,1,1,2,0,1,1,0,1,1,0,0,0,2,2,0,0,0,1,0,0,2,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,2,0,2,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,2,0,1,0,1,1,0,1,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,2,0,1,1,1,0,0,1,0,1,0,1,2,0,1,2,2,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,2,0,1,1,0,2,2,0,1,1,1,1,1,0,2,1,2,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,1,1,1,2,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,1,2,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,2,1,0,2,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,2,1,0,0,1,1,0,0,1,1,0,2,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,1,2,1,0,1,2,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,2,0,1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,2,2,1,2,1,0,0,0,1,1,0,0,2,0,0,0,1,1,1,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,2,0,0,1,2,1,0,0,1,0,2,0,2,0,0,1,0,1,0,1,0,0,1,2,1,1,1,2,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,2,1,0,2,1,0,0,1,1,0,0,0,1,1,0,2,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,2,0,0,1,2,1,1,0,1,1,0,0,0,0,2,0,0,0,1,1,1,1,2,0,1,1,0,1,1,0,2,0,2,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,1,1,1,0,2,0,0,1,0,2,0,1,0,0,0,1,2,1,1,1,0,2,0,0,0,0,2,0,0,0,0,1,1,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,1,2,0,1,2,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,0,1,0,2,1,0,1,1,0,1,1,1,0,2,1,0,0,0,0,0,1,1,1,1,0,0,0,1,1,1,1,0,0,0 1,0,1,1,1,2,1,0,1,2,1,1,0,1,2,0,0,0,0,0,0,0,1,0,0,0,1,1,0,2,1,0,1,2,1,0,0,1,1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1,2,0,2,1,0,2,0,0,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0,2,0,0,2,0,0,0,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,1,0,2,0,0,0,1,0,0,0,1,1,1,1,2,1,1,0,0,2,1,1,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,1,1,0,1,2,0,0,2,0,1,1,0,0,1,0,1,1,0,1,1,0,0,2,0,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,2,0,1,1,1,2,0,0,0,2,1,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,1,0,1,1,1,1,0,0,1,0,2,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,2,1,0,0,1,0,2,2,0,0,2,0,0,1,2,0,0,2,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,1,0,0,0,0,0,1,2,1,0,0,1,0,1,0,0,0,2,1,0,0,2,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,1,1,1,0,2,0,2,1,1,1,1,0,2,0,0,0,0,0,0,0,0,2,0,1,0,2,0,0,2,1,1,0,0,2,1,0,2,1,1,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,2,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,2,1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,1,2,2,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,2,1,1,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,1,1,0,1,1,0,2,1,0,0,0,1,0,0,0,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,2,1,1,0,0,0,0,0,2,1,1,0,1,1,0,2,1,1,2,0,2,0,1,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,2,1,1,1,1,2,1,0,2,1,1,0,0,1,0,1,2,0,1,0,0,0,1,0,0,0,1,1,0,2,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,1,1,2,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0,2,1,0,2,0,1,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,1,1,1,0,1,0,0,1,2,0,2,0,1,0,1,1,0,0,0,0,0,0,0,2,0,1,1,1,0,0,0,1,2,1,0,2,1,0,2,0,0,1,1,1,0,1,0,0,2,1,2,1,1,1,0,0,0,0,0,1,0,0,1,2,0,1,0,1,2,2,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,2,1,0,0,0,1,0,0,2,1,2,0,1,0,0,0,0,1,0,0,1,0,0,0,2,0,0,1,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,2,2,2,1,0,0,2,1,0,0,0,0,0,0,1,1,0,0,2,0,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0,2,1,1,1,0,1,1,1,1,0,0,0,0,1,1,2,1,0,1,0,1,0,0,2,0,0,2,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0 2,0,0,2,0,0,1,1,1,1,0,1,0,0,0,0,1,2,1,0,0,0,1,0,0,1,1,1,0,1,2,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,1,0,1,0,0,2,1,0,0,1,0,0,0,0,0,2,0,0,2,0,1,0,0,0,0,1,1,1,0,0,1,0,2,2,0,2,0,0,0,0,0,0,0,0,0,1,2,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,2,1,1,0,0,0,2,0,2,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,2,2,0,0,2,0,1,0,1,1,0,0,2,1,0,0,0,0,1,2,0,2,0,0,0,0,1,0,0,2,0,0,2,0,0,2,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0,0,1,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,1,2,0,1,1,1,0,0,0,0,1,0,2,1,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,2,0,0,0,0,0,1,1,0,0,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,1,2,0,2,2,0,1,1,0,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,2,0,1,0,1,2,0,0,0,1,0,0,1,2,2,0,1,2,0,2,1,1,0,1,0,0,1,0,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,1,1,2,0,0,0,1,1,1,0,2,1,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,2,1,1,1,0,0,0,0,0,1,2,1,0,1,0,0,1,0,1,1,2,0,0,0,1,2,0,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,1,0,1,2,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,2,1,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,2,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,2,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,1,1,2,1,0,2,0,1,0,2,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,1,0,0,1,1,2,0,0,1,1,1,2,1,2,0,1,0,0,0,0,2,1,2,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,2,1,1,0,0,0,1,0,0,2,1,0,1,0,0,2,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,2,0,1,2,0,0,0,1,1,1,1,0,0,2,1,1,0,0,1,2,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,2,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,1,2,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,2,0,1,1,2,1,0,2,2,1,0,1,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,2,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,2,1,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,0,0,2,1,1,0,0,0,2,1,0,2,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,2,0,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0 0,0,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,2,0,0,2,0,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,2,0,0,0,2,0,0,0,1,1,0,0,0,1,0,1,0,1,2,0,2,1,1,1,2,0,1,2,0,0,0,0,1,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,1,2,1,1,0,1,0,1,0,1,0,1,0,2,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,1,1,2,0,1,2,1,1,0,0,2,1,1,1,0,0,0,0,0,1,1,0,0,1,2,0,0,0,0,2,1,1,0,0,1,1,1,0,0,0,0,0,0,2,0,0,1,1,0,1,1,0,1,0,0,1,1,1,1,0,2,0,2,2,0,0,0,1,0,1,2,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,2,2,0,0,1,0,2,1,2,1,2,0,1,0,2,1,0,0,0,0,1,1,0,0,0,0,0,2,1,1,0,0,1,0,0,2,0,0,0,0,1,2,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,2,2,0,0,2,1,0,0,2,0,0,1,1,2,2,0,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0,2,1,1,1,0,1,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,2,1,1,0,0,0,0,0,2,1,1,1,1,1,0,0,2,0,0,0,1,0,0,0,1,0,1,2,0,0,0,2,1,0,0,1,1,2,1,0,0,0,1,0,1,1,1,0,0,2,0,1,1,2,0,1,0,1,1,1,1,0,0,2,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,1,2,0,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,1,0,1,0,1,2,0,0,0,2,0,1,0,0,2,1,1,0,0,1,2,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,2,2,0,0,2,1,1,0,1,0,0,0,1,0,0,0,0,0,2,0,0,1,0,1,0,2,0,1,0,1,0,0,0,0,0,0,1,1,1,1,0,1,0,1,0,2,0,1,1,0,0,0,2,1,0,0,0,0,2,1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,2,0,0,1,0,0,0,0,2,0,1,1,0,0,0,0,1,1,0,1,0,2,0,0,1,1,1,0,1,0,2,0,0,0,0,1,2,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,1,2,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,1,2,0,0,1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,2,0,0,0,2,1,0,0,0,0,2,0,0,0,0,1,0,1,0,2,0,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,1,1,0,2,1,0,0,1,1,0,1,2,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,2,0,0,0,0,0,0,2,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,2,1,0,2,0,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0 1,0,1,1,1,0,0,1,1,1,2,0,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0,1,1,2,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,2,1,0,0,0,0,0,1,0,2,1,1,2,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,2,0,0,1,0,1,0,0,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,2,1,0,0,0,1,2,1,1,0,0,2,0,0,0,1,2,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,2,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,2,1,0,0,1,2,0,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,2,1,1,1,1,2,1,1,1,1,0,1,1,0,0,1,1,1,0,2,2,0,0,0,0,0,0,2,1,1,0,0,1,0,2,0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,1,2,0,1,1,1,0,0,1,1,1,2,0,0,0,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,2,0,1,0,1,0,0,2,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,2,0,1,1,0,0,0,0,0,1,1,2,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,2,1,0,2,0,1,1,1,0,0,0,0,0,2,0,1,1,0,0,1,0,0,0,1,0,1,2,1,0,1,1,0,0,2,1,0,1,2,1,1,1,2,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,0,1,0,1,1,0,0,2,0,0,0,0,1,0,1,0,2,2,1,0,0,0,1,0,0,0,2,0,0,0,0,0,2,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,2,0,2,1,0,2,0,0,1,1,1,1,1,1,2,1,1,1,2,1,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,2,2,0,0,0,2,0,0,2,2,0,1,1,0,1,0,1,1,2,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,2,0,1,0,0,0,1,0,1,2,1,2,0,1,0,1,1,1,0,2,1,0,0,0,0,1,1,1,1,2,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,2,0,1,0,1,0,1,0,2,2,1,0,2,0,0,1,1,1,0,0,1,0,1,0,1,2,1,0,1,0,2,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,2,0,0,1,0,1,0,1,2,1,0,0,0,0,2,2,0,2,0,1,1,0,1,1,1,1,2,0,0,1,2,0,2,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,2,0,1,1,0,0,0,2,0,1,1,0,1,0,1,0,1,0,0,0,0,0,2,2,0,2,0,2,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,1,0,1,0,0,0,0,1,1,1,2,0,0,1,0,1,0,1,1,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,1,0,2,0,2,0,0,1,1,1,1,0,0,0,0,1,1,0,2,0,0,0,0,0,0,0,1,1,1,2,0,1,1,0,1,0,1,0,1,0,1,0,2,0,1,0,0,0,1,0,1,0,0,0 0,0,0,1,1,1,1,1,0,1,1,0,0,2,1,0,0,0,1,0,0,0,2,0,0,2,1,1,0,0,1,0,0,1,1,0,2,0,1,1,0,1,1,1,0,0,1,0,0,0,2,0,0,0,1,1,0,0,2,1,0,0,0,0,0,1,1,2,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,2,2,0,0,0,0,0,0,1,0,2,1,0,1,1,1,0,0,0,1,1,1,0,2,0,1,0,1,2,2,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,2,0,0,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,1,0,2,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0,2,1,0,2,0,0,0,0,0,1,1,0,0,1,0,0,1,1,1,0,1,0,1,1,1,0,1,0,1,2,1,0,0,0,1,0,0,2,1,1,2,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,2,2,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,2,0,1,0,0,1,1,1,1,0,0,0,1,0,0,2,0,0,0,1,1,1,0,1,1,0,0,0,1,0,1,1,2,0,0,0,1,0,1,1,1,1,0,1,0,0,1,0,2,0,1,1,1,1,1,1,0,0,0,0,2,0,0,1,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,2,0,0,0,1,1,0,0,0,2,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,2,0,0,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0,2,0,2,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,2,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,1,1,1,0,0,0,2,1,0,1,0,0,0,0,2,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,1,2,2,1,0,0,1,0,0,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,0,1,1,1,0,0,0,0,1,2,0,1,1,1,0,0,0,2,0,2,0,2,1,1,0,0,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,1,2,1,0,0,1,0,2,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,2,1,1,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,2,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,1,0,2,0,0,1,0,1,1,0,0,0,0,1,0,0,2,0,1,1,1,1,2,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,2,0,1,0,2,0,0,0,2,1,2,0,0,1,2,0,0,1,0,0,0,0,1,2,0,2,1,1,2,1,1,0,1,0,0,1,1,2,0,0,0,2,0,0,0,1,0,1,0,2,1,0,0,0,0,0,2,1,1,0,1,0,0,0,1,0,2,1,0,0,0,0,1,0,0,0,0,1,2,1,0,1,0,0,0,1,0,0,1,0,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,2,0,0,0,0,2,0,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0,2,1,0,0,0,2,2,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,1,1,1,2,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,2,1,1,1,0 1,0,1,1,0,1,0,0,1,0,0,2,2,0,1,0,0,1,0,0,1,1,0,0,1,1,0,2,1,0,2,0,2,0,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,2,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,1,1,1,2,0,0,1,2,0,1,1,0,1,2,0,1,1,1,0,0,0,2,1,0,0,0,0,0,0,1,0,2,0,1,0,1,0,2,1,1,2,0,0,0,0,1,0,1,1,0,2,0,0,0,1,1,1,0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,2,0,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0,0,0,1,2,1,2,2,1,0,2,0,0,0,0,2,0,0,1,1,0,0,0,0,0,0,1,1,1,1,1,1,0,1,1,1,0,0,2,0,1,1,0,1,1,0,1,0,0,1,1,2,0,2,0,1,0,0,0,1,0,1,0,0,2,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,2,1,0,0,0,0,1,1,0,2,1,0,0,1,1,2,2,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,1,1,1,2,0,0,1,0,1,0,1,1,0,0,2,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,2,0,0,0,2,0,0,2,0,0,0,0,1,0,1,0,2,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,2,0,2,0,2,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,2,1,0,0,0,1,2,1,0,0,2,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0,1,2,0,1,0,1,1,1,0,1,0,1,1,2,0,0,1,0,0,1,0,0,1,1,1,0,0,0,0,1,2,2,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,1,0,2,0,0,0,1,0,1,0,1,2,1,0,0,0,0,0,1,2,2,2,0,0,0,0,1,0,1,0,0,0,1,0,2,1,0,0,0,0,1,0,0,0,0,1,1,1,1,1,1,0,0,0,1,1,1,1,1,2,0,2,0,1,1,2,1,1,1,0,2,1,0,0,0,0,0,2,0,1,0,1,1,0,1,0,1,1,0,0,0,1,2,1,0,0,0,0,0,1,0,0,0,1,0,1,1,1,2,0,0,2,2,0,0,1,2,1,0,0,0,0,0,0,0,2,0,0,2,1,0,0,1,1,1,1,0,0,0,0,0,0,0,2,0,0,1,0,1,0,2,0,1,0,0,0,0,0,1,1,2,1,1,1,0,1,1,0,2,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,2,0,1,1,1,1,1,0,2,0,1,0,1,0,1,0,0,2,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,2,0,0,0,1,0,2,0,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,2,0,0,2,1,0,0,0,0,2,1,1,1,1,1,1,0,0,0,0,0,1,1,0,1,2,1,1,0,0,0,0,1,0,2,1,0,1,0,1,0,0,1,2,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0,2,0,0,0,0,0,1,1,0,2,0,1,0,0,0,0,0,1,0,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,1,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,2,1,2,0,0,0,0,1,0,0,0,0,1,0,0,1,1,2,2,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0 1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,2,0,1,1,0,0,0,1,0,0,1,2,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,2,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0,2,2,0,2,1,0,1,0,0,1,0,1,0,2,0,0,2,1,2,0,0,0,0,1,2,0,1,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,2,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,1,0,1,1,0,0,1,2,1,1,1,0,0,0,2,0,0,0,0,1,0,2,0,1,0,0,1,0,1,1,0,1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,0,2,0,2,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,2,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,1,2,1,0,0,0,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,2,0,1,1,1,1,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,1,1,1,2,0,0,0,0,0,1,0,0,2,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,1,2,0,0,0,0,0,2,0,0,1,1,1,1,2,2,2,1,1,1,0,1,2,1,0,1,1,1,0,0,2,1,1,0,0,1,0,0,0,1,1,1,0,1,1,1,2,2,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,1,0,1,0,0,0,2,1,1,1,1,0,0,1,0,2,2,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,2,0,0,1,0,0,1,0,0,2,1,0,0,0,0,2,0,2,1,0,2,0,0,0,0,0,2,0,1,2,2,0,0,0,0,0,1,1,0,2,1,0,1,0,0,0,2,1,0,1,0,0,0,1,0,0,2,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,2,1,0,1,1,2,0,1,1,1,0,2,2,0,0,1,1,1,0,1,0,1,0,0,0,0,0,2,1,0,0,2,1,2,1,1,1,0,1,1,0,0,0,1,2,1,1,1,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,1,0,1,0,0,2,0,0,2,2,0,0,1,0,0,1,2,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,2,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,2,0,0,0,1,0,1,2,0,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,1,2,0,0,1,2,1,1,0,0,0,1,1,0,0,2,0,2,1,2,0,0,1,0,0,0,0,1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,2,0,0,2,0,1,1,1,0,0,1,0,1,0,0,2,0,1,2,0,1,2,1,1,1,2,2,0,1,1,0,0,1,0,1,0,0,0,1,1,2,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1,1,0,1,0,2,1,0,0,1,1,0,1,0,0,0,1,1,0,2,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,1,1,2,2,0,0,0,0,1,0,0,2,0,0,0,0,1,1,1,1,0,1,0,0,1,1,2,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,2,2,0,0,2,0,0,0,0,1,2,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,2,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0 2,0,0,1,0,0,0,1,2,1,2,1,0,1,0,0,0,2,0,0,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,1,1,0,2,1,0,1,2,0,1,0,0,0,0,1,0,0,0,0,1,0,0,2,2,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,2,0,0,1,1,0,0,0,0,1,0,0,1,1,1,0,2,0,0,0,1,0,0,1,0,1,1,2,0,0,1,0,0,2,0,2,0,1,0,0,2,0,0,0,0,1,0,0,1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,2,1,1,2,1,1,0,0,0,0,0,0,1,1,0,1,1,0,0,2,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,2,0,1,0,1,0,0,1,0,2,0,0,0,0,0,1,2,1,1,0,0,2,0,0,1,0,1,2,2,1,0,0,0,0,2,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,1,1,1,1,1,2,0,1,0,1,0,1,0,0,0,1,1,2,1,1,0,0,2,0,1,1,1,1,1,0,0,0,0,1,2,0,2,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,2,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,2,0,1,0,1,0,1,2,1,1,0,0,0,0,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0,2,1,1,0,2,1,1,1,1,1,0,2,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,2,0,0,1,2,0,0,0,2,0,1,1,2,1,0,2,1,0,1,1,1,0,0,2,0,0,0,1,1,1,1,0,1,0,2,0,0,1,0,0,0,0,0,0,1,0,2,1,1,1,2,1,1,0,0,1,2,1,0,0,0,1,0,2,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,0,2,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,1,1,2,1,0,2,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,2,0,1,0,0,1,1,0,1,1,0,1,0,0,2,0,0,1,2,1,0,0,2,1,0,1,0,0,1,2,2,0,1,0,1,0,2,2,0,2,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0,2,0,0,0,0,0,1,1,1,1,1,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,2,0,1,1,1,0,1,0,0,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,2,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,1,1,1,1,0,0,0,1,1,1,0,1,0,2,0,0,1,0,0,0,0,0,0,1,0,1,2,1,0,2,0,0,0,1,0,0,0,0,1,0,2,1,0,0,0,2,2,2,2,0,1,0,2,1,0,1,0,1,1,0,0,2,0,0,2,0,0,0 0,0,1,0,0,0,1,1,0,1,0,0,0,1,2,2,0,0,0,0,0,0,1,0,1,0,1,1,0,2,1,0,0,0,1,0,1,0,0,0,0,2,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,1,0,2,1,1,2,0,1,0,2,0,0,0,0,0,0,1,2,2,0,1,1,1,2,0,0,0,2,0,0,0,0,1,0,1,1,0,1,0,0,0,1,1,1,0,1,2,2,0,0,2,1,1,0,0,1,0,0,0,0,1,0,2,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,2,0,0,0,0,1,2,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,1,1,0,2,0,1,0,0,0,1,0,2,0,1,0,1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,1,2,2,0,1,1,0,1,1,1,0,1,1,0,0,0,2,0,0,1,1,1,0,0,0,0,1,0,1,1,0,1,2,0,0,0,0,0,2,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,2,0,1,0,0,0,0,1,1,0,1,2,1,2,0,0,0,2,0,2,1,2,0,1,1,0,1,0,0,2,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,2,0,1,0,0,2,1,0,0,0,0,0,0,1,1,0,1,1,0,1,1,2,1,1,1,0,2,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,1,1,0,1,1,1,1,0,2,1,0,0,0,0,0,0,0,1,1,2,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,1,2,0,1,0,0,0,0,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,2,0,1,2,0,1,0,1,2,0,2,2,1,2,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,2,0,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,1,2,1,0,0,0,2,1,1,1,0,0,0,1,2,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,2,0,2,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,2,1,0,0,1,0,1,0,2,0,1,2,0,1,1,1,0,2,0,0,0,0,0,0,1,1,0,2,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,2,2,0,0,0,0,0,0,2,1,1,0,2,0,1,0,1,0,1,0,0,0,2,0,1,1,0,1,2,0,0,0,1,0,0,2,1,0,0,0,1,1,2,1,1,0,2,0,1,0,0,1,1,1,1,1,1,0,0,1,1,0,0,2,1,1,0,0,0,0,1,0,0,1,0,2,2,0,2,0,2,0,0,1,1,0,0,1,2,1,0,1,1,0,0,0,1,2,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,2,0,1,1,1,0,0,0,2,1,0,1,0,1,0,0,1,1,1,1,0,1,0,2,0,2,0,2,0,0,1,1,0,0,1,0,0,0,0,0,0,0,2,1,0,0,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,2,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,1,2,1,1,0,1,0,2,2,2,0,0,0,1,0,0,0,0,2,0,1,0,0,1,1,0,0,0 1,0,1,0,0,0,1,0,1,2,1,2,0,0,2,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,2,0,0,1,0,0,1,1,2,0,1,2,1,1,2,0,0,1,0,0,1,0,1,0,1,0,2,0,1,1,1,0,2,2,0,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,2,1,1,1,0,0,0,0,2,0,0,0,1,0,0,1,0,0,2,0,0,1,1,0,1,0,1,1,1,0,1,0,2,0,1,0,2,1,1,0,0,0,1,2,2,1,0,1,0,0,1,1,0,0,0,2,0,1,1,0,2,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,2,1,0,2,1,1,0,0,1,1,0,1,0,1,0,0,2,0,0,1,0,0,0,1,1,1,2,0,0,0,0,1,2,0,0,0,0,0,0,2,1,0,1,1,0,0,0,1,0,1,1,1,0,2,0,0,2,1,1,0,2,2,1,1,0,1,0,2,1,0,0,0,0,0,0,1,0,0,1,1,1,1,2,2,2,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,2,0,1,2,1,0,0,2,0,1,1,0,0,2,0,0,2,0,1,2,2,1,0,1,1,0,1,1,0,1,0,1,1,0,2,1,0,0,0,2,0,0,0,0,2,1,0,2,0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,1,1,1,0,2,0,0,1,1,0,2,0,0,0,0,0,1,0,2,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,1,2,0,1,1,2,2,1,0,0,0,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,1,2,0,2,1,0,1,0,1,1,1,1,0,0,2,0,2,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,2,0,2,0,1,0,0,0,0,0,2,0,0,1,0,1,0,0,1,1,0,2,1,2,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,1,1,0,1,0,0,0,2,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,2,2,0,0,1,2,0,0,0,1,0,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0,2,0,1,2,1,1,0,1,0,0,1,0,0,0,1,1,0,0,2,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,2,0,1,1,1,1,0,1,1,0,0,1,2,0,0,1,0,1,0,0,0,1,0,0,2,1,0,0,1,0,0,0,0,0,0,1,2,0,0,1,0,1,1,0,0,0,2,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,2,2,1,0,0,0,2,0,2,1,0,0,1,1,0,1,2,1,0,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,2,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0,2,0,1,0,0,1,0,2,0,0,0,0,0,0,0,1,0,1,0,1,2,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,1,1,0,0,0,1,1,2,1,1,0,1,0,2,0,0,1,0,0,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,2,1,0,1,0,0,2,0,1,0,0,0,1,0,1,1,0,1,0,1,0,0,0,2,2,1,1,0,1,0,1,2,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,2,1,0,0,0,0,0,0,1,0,2,0,1,0,1,1,0,0,2,0,0,1,1,2,0,0,0,0,0,0,1,0,1,0,1,2,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0 0,0,0,1,0,0,0,0,1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,2,1,0,0,1,0,0,0,1,0,2,1,1,1,2,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,1,2,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,2,0,2,1,1,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,1,2,0,1,1,0,0,0,0,1,2,0,2,1,0,0,0,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,2,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,2,0,1,0,1,1,0,0,0,2,2,1,1,1,0,1,0,0,1,0,1,0,0,0,2,1,1,0,0,1,0,1,1,1,1,0,1,0,1,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,2,1,0,0,0,2,0,2,0,0,0,1,0,0,1,1,0,1,2,1,0,0,0,2,0,1,2,2,0,0,1,1,0,0,0,1,1,0,1,1,1,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,2,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,0,1,1,1,0,0,0,2,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,2,0,0,2,0,1,0,1,0,0,1,0,1,0,1,0,0,0,2,2,1,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,2,1,1,0,0,2,1,0,1,1,0,0,1,0,1,1,0,0,0,0,2,1,0,1,0,0,0,1,0,0,0,0,2,0,0,0,0,2,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,1,0,2,1,1,1,0,0,0,1,1,1,0,1,0,1,0,2,0,2,0,1,0,1,0,1,0,2,0,2,0,0,0,0,1,1,1,0,2,0,0,1,1,0,0,1,2,1,0,1,0,0,0,0,1,1,1,2,0,2,0,0,1,1,1,0,1,2,1,1,0,1,2,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,1,0,1,0,0,1,1,2,1,0,1,1,2,0,0,1,1,1,1,1,0,0,2,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,1,2,0,1,0,0,1,0,0,1,0,1,1,0,2,2,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,2,1,1,1,0,0,0,0,0,0,1,0,2,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,0,2,1,1,1,1,0,0,2,0,0,0,0,1,2,0,2,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,2,0,2,1,1,2,0,0,1,0,0,0,2,1,0,2,1,0,0,0,1,1,0,0,0,0,2,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0,2,0,1,1,0,0,2,1,0,2,0,2,0,0,0,0,1,0,0,0,2,0,1,0,0,0,2,1,0,0,2,0,0,1,1,0,1,0,1,1,1,1,2,0,0,0,0,2,0,0,1,1,1,0,0,0,1,0,0,0,0,2,0,1,1,0,0,0,2,0,0,0,1,0,1,0,0,0,0,1,2,0,0,0,0,1,0,1,2,1,0,0,0,0,0,0,0,2,1,0,0,0,2,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0 0,1,2,2,0,0,0,1,0,0,2,1,1,1,2,0,0,2,0,1,0,0,1,0,0,0,0,2,0,0,1,0,0,0,1,0,2,0,0,0,0,1,0,1,0,0,0,2,1,0,1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,2,0,2,0,0,1,0,2,1,1,1,0,1,0,0,0,0,0,0,2,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,2,1,1,1,0,1,1,1,1,0,1,1,1,0,0,0,1,2,1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,2,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,2,1,2,0,1,1,1,0,1,0,0,0,0,0,0,1,1,1,0,0,1,0,1,1,2,2,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,2,0,1,1,1,1,0,1,2,1,0,0,1,0,1,2,2,0,0,0,0,0,0,1,0,0,0,0,0,1,2,1,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,2,1,1,0,0,1,0,0,0,0,2,1,0,2,1,0,0,0,1,0,2,2,0,1,0,2,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,2,1,1,1,0,0,0,0,0,2,1,0,1,0,0,2,0,1,0,0,2,0,0,2,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,1,0,0,1,1,1,1,0,1,1,0,1,2,0,1,0,0,1,0,0,0,0,2,1,1,0,0,0,0,2,0,0,0,0,0,1,0,0,2,1,1,0,0,1,0,1,1,2,0,0,0,1,1,1,0,1,2,0,2,2,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0,1,0,1,1,1,0,1,2,2,2,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,2,0,0,0,1,1,0,0,0,0,1,0,0,1,0,2,1,2,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,2,0,0,2,0,1,0,0,2,0,0,1,0,0,2,0,0,1,0,0,0,0,0,1,1,0,1,1,1,1,1,0,0,1,1,0,2,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,2,0,1,1,0,0,0,1,0,0,1,2,0,1,1,0,0,1,1,0,1,0,0,0,0,2,0,0,1,0,0,1,1,2,0,0,1,1,1,1,1,2,1,1,0,0,0,2,0,0,0,0,0,1,1,1,1,1,0,0,1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0,2,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,2,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,2,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,2,2,2,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,1,2,0,1,1,0,2,1,0,1,2,0,1,1,2,1,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,2,0,1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,1,0,2,1,1,0,1,2,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,1,2,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,2,0,1,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,2,1,1,1,0,0,0,1,1,1,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0 1,0,0,1,0,0,0,0,1,0,1,0,1,1,2,1,0,0,1,0,1,1,1,0,1,0,0,2,1,0,2,0,0,0,1,0,1,0,0,0,1,1,0,1,1,2,0,1,1,1,1,0,0,0,1,0,0,0,0,2,0,1,1,1,0,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0,0,1,2,0,2,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,2,0,1,1,1,0,1,1,0,0,2,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,1,1,1,1,2,0,2,0,0,0,0,1,0,2,0,1,1,1,0,1,0,0,2,2,0,0,1,1,0,0,0,0,1,0,1,0,2,1,1,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,2,0,0,2,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,2,1,0,0,1,1,2,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,2,0,0,0,1,0,0,1,0,0,1,0,0,1,2,1,0,0,0,0,1,0,1,2,0,0,0,2,0,2,0,0,0,0,0,0,2,0,0,0,0,0,2,1,2,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,1,0,1,0,2,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,2,1,2,0,2,0,0,1,1,1,0,0,2,0,0,0,0,0,1,0,1,1,2,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,1,2,2,1,0,0,2,0,0,1,1,1,1,1,1,0,0,1,0,2,0,0,0,0,0,1,0,0,2,1,0,0,1,1,1,1,1,1,1,2,0,0,0,1,1,2,1,0,1,0,1,0,2,0,0,0,0,0,0,0,1,2,0,0,0,2,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,2,1,0,0,1,0,0,1,0,0,0,1,0,1,0,1,1,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,2,0,0,0,0,1,0,1,0,1,0,1,0,2,0,1,0,1,1,0,2,1,1,0,0,0,0,1,1,2,0,1,1,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,1,2,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0,1,1,2,0,0,0,2,2,1,1,2,1,0,0,0,1,1,1,1,1,0,1,0,0,0,2,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,2,0,1,1,1,1,2,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,2,2,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,2,1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,2,0,0,1,0,1,1,0,2,0,0,0,1,0,0,2,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,2,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0,1,2,1,0,0,1,0,0,1,1,0,1,0,0,2,1,0,1,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0,1,1,0,2,2,1,0,1,0,0,1,0,0,0,0,1,2,2,0,1,0,0,1,0,0,0,1,0,2,2,0,1,1,0,1,1,1,0,1,2,1,0,1,0,1,0,0,0,1,0,2,2,0,2,0 1,0,0,2,0,0,0,1,2,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,2,0,1,1,0,0,0,2,0,2,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,1,1,1,1,2,0,2,1,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,1,2,1,0,1,0,2,0,0,2,1,0,0,0,1,1,0,0,0,1,0,0,0,0,1,2,1,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,1,2,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0,1,1,1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,2,1,0,2,2,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,2,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0,1,2,0,1,0,2,0,0,0,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,2,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,2,2,1,0,1,0,1,2,0,0,2,0,1,2,1,0,0,0,1,0,1,1,2,1,0,0,0,1,0,0,0,1,0,0,1,2,0,0,0,0,1,0,0,2,2,2,0,0,0,1,0,0,1,1,1,2,0,0,0,0,2,0,1,0,0,1,1,2,0,0,0,1,0,0,2,1,1,0,0,2,0,0,1,1,0,1,0,2,0,1,0,0,1,1,0,1,0,0,0,2,1,0,0,1,1,1,0,2,0,0,1,2,0,0,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,2,1,1,2,1,1,1,1,0,1,0,0,1,0,2,0,1,1,0,1,0,1,2,1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,1,2,1,0,0,1,0,0,1,0,0,1,0,1,2,0,0,1,0,0,0,2,0,1,1,2,1,0,1,0,0,1,0,1,0,0,1,0,0,1,0,1,1,2,1,0,1,1,0,0,1,2,0,0,0,0,0,0,1,0,2,2,0,0,0,0,2,0,1,0,0,1,1,1,0,1,0,0,2,0,1,1,0,0,0,1,1,1,0,1,2,0,1,1,0,2,2,0,0,0,0,1,0,1,1,2,0,0,0,1,1,1,0,1,2,1,2,0,0,0,0,0,0,2,0,0,2,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,2,1,1,0,0,0,1,0,0,0,1,2,0,1,1,0,0,1,1,0,2,1,0,0,0,0,1,1,1,1,0,1,0,1,0,0,2,2,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,2,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,2,0,1,2,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,1,1,1,1,1,2,0,0,0,0,0,1,1,0,0,2,2,1,1,1,1,2,1,1,0,0,2,1,0,2,1,1,1,0,1,0,1,0,1,0,0,0,0,2,2,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,2,0,2,0,1,0,1,1,1,0,0,1,0,0,1,1,2,1,0,2,1,2,1,1,0,0,0,0,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0,0,2,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,2,0,0,1,0,1,0,0,1,1,1,1,0,0,1,1,0,2,0,1,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,1,0,0,1,1,0,0,0,1,2,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0,2,0 0,0,1,1,1,0,0,0,0,1,0,1,1,2,1,1,0,1,0,0,0,0,2,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,1,0,1,2,2,2,1,0,0,0,1,1,0,0,1,1,0,2,0,0,0,0,0,0,0,0,1,1,1,2,0,1,1,1,1,1,1,2,1,0,0,0,0,0,2,1,1,0,0,1,1,1,0,1,1,0,0,0,0,2,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,2,0,1,2,1,1,1,0,0,0,0,0,0,2,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,2,1,1,0,0,0,1,0,0,1,1,0,0,0,0,1,1,0,1,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,2,0,0,1,0,2,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,2,0,0,0,0,0,1,1,0,0,1,1,0,2,0,0,0,0,1,0,2,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0,2,1,0,0,0,1,0,1,1,1,0,2,0,1,0,1,1,0,1,0,2,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,1,1,0,0,2,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,1,0,2,0,2,0,1,2,2,1,1,2,2,1,0,0,2,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,2,0,2,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1,2,1,0,0,1,1,1,0,2,0,1,0,0,0,2,0,1,0,1,1,0,0,1,0,0,0,1,0,0,1,2,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,2,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,2,1,0,0,0,0,1,0,1,1,0,0,0,0,1,2,1,1,1,0,1,1,0,1,0,0,2,0,1,0,1,0,0,1,1,2,1,0,1,1,0,0,0,0,1,2,0,2,0,0,1,1,1,1,1,1,0,2,1,0,0,2,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,2,0,0,1,0,0,2,0,0,0,2,0,0,1,1,1,0,0,1,0,1,0,0,2,1,0,2,0,0,1,0,0,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,2,2,1,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,2,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,1,1,1,1,1,0,2,2,0,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,0,1,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,2,2,0,1,2,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,2,1,1,0,0,1,1,1,2,0,1,0,1,1,0,0,1,0,2,0,1,0,0,1,2,1,0,2,1,2,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,2,0,2,1,1,0,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0,1,2,0,2,0,0,2,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,2,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,2,0,0,0,1,1,0 1,0,2,0,0,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,1,2,1,2,0,1,0,1,1,0,0,1,2,1,1,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,2,0,1,1,0,0,1,0,0,0,0,1,0,0,2,0,1,0,0,1,0,1,0,0,0,0,0,2,0,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,2,0,2,1,1,0,0,1,1,1,1,0,2,1,2,1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0,2,0,0,1,0,0,0,2,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,2,0,1,0,1,0,1,1,0,0,0,1,0,0,2,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,0,2,0,0,1,1,0,1,0,0,0,0,0,0,2,1,1,0,0,1,1,0,1,0,0,2,0,1,1,0,0,0,1,0,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,2,1,0,0,0,1,1,1,0,0,0,0,1,1,0,1,0,2,1,0,1,0,0,0,0,2,0,1,0,0,2,0,0,1,1,0,1,1,0,0,2,0,1,0,0,0,0,1,2,1,0,1,0,1,0,0,1,2,1,1,0,2,2,0,0,0,1,2,0,0,2,0,0,1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,1,2,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,2,1,1,0,0,2,0,0,0,1,0,0,0,1,2,2,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,2,2,1,1,1,1,0,1,2,1,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,1,2,0,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,2,0,0,1,2,1,2,1,0,1,0,0,2,1,0,0,0,1,0,2,0,0,1,0,2,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,2,1,1,1,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,2,1,1,2,0,0,2,0,1,0,2,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,2,0,1,0,1,0,0,0,0,0,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,2,0,1,0,0,0,1,1,0,2,0,1,2,1,1,0,0,0,0,2,0,1,1,1,1,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,2,1,0,1,0,1,1,1,0,0,1,0,1,2,2,0,0,1,0,0,1,1,1,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,1,1,0,0,0,2,1,0,0,2,1,0,2,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0,1,2,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,2,0,0,1,1,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,2,1,0,1,0,0,2,0,0,1,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0 2,0,0,0,1,1,0,1,1,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0,1,2,1,1,1,0,1,1,0,1,2,0,1,1,2,0,1,0,1,2,0,0,0,0,0,0,0,0,1,1,2,0,1,0,1,0,1,2,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,2,2,0,0,2,2,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,2,0,0,0,0,1,1,1,0,0,1,2,2,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,2,0,0,0,2,0,0,1,1,0,1,0,2,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,1,1,1,0,0,2,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,2,1,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,1,1,0,2,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,2,1,1,0,0,1,0,2,1,1,0,1,1,1,2,0,0,1,0,0,2,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,2,0,0,2,0,1,0,0,1,0,0,0,1,0,0,1,1,2,1,1,1,0,0,0,0,2,1,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,2,0,1,1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0,2,0,1,0,1,0,0,2,0,2,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,2,0,1,0,1,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0,0,2,1,0,0,0,1,0,0,2,0,0,1,1,1,0,0,0,0,2,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,0,1,2,0,0,0,1,0,0,2,1,0,1,0,0,1,1,0,1,0,1,0,2,0,0,1,2,0,1,0,1,0,2,0,0,0,0,2,2,2,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,2,1,0,1,0,1,0,0,1,2,0,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,2,2,0,0,2,1,0,0,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,1,1,1,1,2,0,0,0,0,2,2,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,2,1,2,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,2,0,0,0,0,0,0,0,2,2,0,0,0,1,0,2,0,0,0,1,0,0,0,1,2,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,2,0,2,1,0,0,1,0,1,0,0,0,0,1,0,0,2,1,0,0,0,1,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,2,0,1,1,0,1,2,0,1,0,1,1,0,0,0,0,1,1,0,2,0,0,2,0,0,0,1,1,0,1,0,0,2,1,0,2,1,0,0,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,1,0 0,0,0,0,1,1,1,2,0,1,1,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,1,2,1,0,1,0,0,0,1,0,2,2,1,0,0,1,0,2,1,2,0,1,0,0,0,0,0,0,1,0,1,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,2,1,2,0,0,0,1,0,0,0,0,1,0,1,0,1,0,2,0,2,0,2,0,0,1,1,0,1,1,0,0,0,0,0,0,1,2,0,0,2,0,0,1,1,2,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,2,0,2,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,2,1,1,0,0,0,2,0,1,0,0,2,1,2,0,0,2,2,1,0,1,0,1,2,0,0,0,0,2,0,0,2,0,2,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,1,2,0,0,0,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,2,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,2,0,1,0,0,1,2,0,0,1,0,2,0,0,0,1,0,0,1,1,0,0,1,1,1,1,2,2,0,0,1,0,0,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,2,0,0,0,1,0,0,1,0,0,0,0,0,1,0,2,0,0,0,1,2,1,1,1,0,1,2,1,1,0,2,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,2,1,1,0,0,0,0,1,2,1,0,0,1,1,0,0,1,2,0,1,0,0,1,0,1,1,1,0,0,0,0,1,1,2,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,2,1,0,0,1,1,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,2,0,0,0,0,0,1,0,0,2,1,0,1,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,1,0,1,1,0,1,1,0,0,0,2,2,0,0,1,0,0,1,1,0,1,0,1,0,1,0,1,1,1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,2,1,0,0,0,0,0,2,0,0,1,2,0,0,2,0,0,0,0,0,1,2,0,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0,1,2,0,0,1,0,0,2,0,0,2,1,0,1,0,1,0,0,0,1,0,2,2,0,0,0,1,1,0,0,1,0,0,1,1,2,1,2,0,0,0,1,1,1,2,2,1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0,2,0,0,2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,2,1,1,0,0,0,0,2,0,0,0,0,0,0,1,1,0,2,0,0,2,0,2,0,1,1,0,0,1,0,0,1,0,1,0,2,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,2,0,1,0,0,1,1,2,0,0,2,1,0,0,1,0,2,1,0,1,1,1,0,0,0,0,1,1,1,2,1,1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,2,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,2,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,2,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,2,1,1,0,0,0,2,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,2,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,1,0,2,0,0,1,0,0,2,0,1,1,1,1,0,1,1,1,2,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0 0,0,1,2,1,0,1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,2,0,0,0,0,2,2,0,1,1,0,1,0,1,2,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,1,2,0,1,1,0,0,0,0,0,0,0,0,2,1,0,1,1,1,0,1,2,0,0,0,1,1,1,2,0,1,2,1,1,1,2,0,0,0,2,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,1,2,0,0,0,1,0,1,1,1,0,0,2,0,0,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,1,0,1,0,1,0,1,0,0,1,1,2,1,2,0,1,0,2,0,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,2,0,0,1,0,0,0,0,1,1,0,2,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,1,1,0,2,0,0,1,0,2,0,0,2,1,2,0,0,0,0,1,1,1,0,0,1,1,1,1,1,1,2,0,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,1,2,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,2,0,2,0,1,2,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,2,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,2,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,2,2,0,2,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,1,2,1,0,1,1,0,1,0,1,1,2,1,0,0,2,0,0,1,2,0,0,0,0,2,0,1,0,1,1,0,1,1,1,2,2,1,1,1,0,2,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,2,2,0,0,0,1,1,0,1,1,0,2,2,0,0,0,0,0,0,0,0,1,1,0,0,2,1,0,0,1,1,1,0,0,0,0,2,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,2,0,2,1,0,0,0,0,0,0,0,1,2,0,0,0,2,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,2,0,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,2,1,0,1,1,0,0,1,0,0,1,1,0,1,0,1,0,1,1,0,1,0,1,2,1,2,0,0,0,1,1,0,2,1,1,0,1,0,1,0,0,1,0,2,0,0,2,0,1,0,2,1,1,0,0,0,1,1,2,0,1,2,1,1,0,0,1,0,0,2,1,1,2,0,0,2,0,0,0,2,0,0,0,0,1,1,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,1,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,2,0,1,0,1,1,0,2,0,1,0,0,1,2,1,2,0,0,0,1,1,2,1,1,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,2,1,0,0,2,0,1,0,0,0,0,0,0,2,0,0,2,0,1,0,1,1,1,2,1,0,0,0,1,0,1,2,0,0,1,0,0,2,0,0,1,0,2,0,0,1,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0 0,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,1,1,1,0,1,0,1,1,0,2,0,0,0,2,2,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,1,1,1,2,0,1,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,2,1,0,1,2,1,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,2,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,2,1,2,0,1,0,1,1,1,0,1,0,1,2,0,0,1,0,0,0,1,1,1,0,1,1,1,2,0,0,0,0,1,1,0,2,0,0,0,0,1,1,0,0,1,0,1,0,0,0,2,2,0,1,1,0,0,2,0,1,0,1,2,1,1,0,2,0,0,0,1,0,1,0,0,0,0,0,0,0,1,2,0,0,0,2,1,1,1,1,0,1,1,1,1,1,1,0,0,0,2,1,1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,2,1,2,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,2,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,2,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,2,0,0,0,0,1,0,1,0,0,1,1,1,1,2,1,1,0,2,2,1,1,1,0,1,2,1,1,2,0,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,2,0,1,1,2,0,0,1,0,1,1,0,0,1,0,1,1,1,2,1,0,0,1,1,1,1,0,0,0,1,1,0,2,1,1,1,1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0,2,0,2,0,1,1,0,0,2,0,1,0,0,1,0,0,1,1,0,0,2,1,1,0,0,0,1,0,2,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,2,1,0,1,2,1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,1,1,2,0,1,2,1,0,0,1,0,1,0,0,2,0,0,1,1,0,1,2,0,0,1,2,2,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,2,0,0,0,1,1,0,2,1,1,0,1,0,2,1,0,0,1,1,2,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,2,2,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,2,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0,2,1,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,0,0,2,0,0,0,0,0,2,0,0,0,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,2,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,2,1,0,0,2,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0 0,0,0,2,1,0,0,0,0,0,1,1,2,1,1,0,2,1,0,0,0,1,1,0,0,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,2,0,1,1,0,0,0,2,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,1,1,0,1,1,0,1,0,2,1,1,1,1,1,2,1,1,0,1,1,1,1,2,1,0,1,1,1,0,0,0,0,0,0,0,0,1,2,0,1,0,0,0,0,0,2,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,1,1,2,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,2,0,0,1,1,1,2,2,1,0,0,0,0,1,0,2,2,0,2,0,1,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,2,0,0,0,0,0,0,0,1,0,1,1,0,1,2,1,0,0,0,2,2,0,0,1,1,1,2,0,0,1,0,1,0,1,1,0,1,2,0,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,1,1,1,2,1,1,0,0,2,1,2,0,0,0,1,2,1,1,1,0,1,0,1,2,2,1,0,0,1,0,1,1,0,1,0,1,0,1,2,0,0,0,0,0,2,0,0,1,0,1,1,0,0,0,0,0,2,1,0,0,1,0,1,1,1,1,1,0,2,0,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,1,1,1,1,0,0,1,0,2,0,0,2,0,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,2,2,0,2,1,0,1,0,1,2,0,1,0,0,0,0,0,2,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,1,2,1,0,0,1,1,2,0,1,0,1,1,0,1,0,1,0,0,0,1,2,1,0,0,1,0,0,0,0,1,1,0,1,1,0,2,0,0,1,1,1,0,1,0,0,0,1,2,1,1,1,1,0,1,2,0,2,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,1,1,0,1,0,2,0,0,2,1,0,1,0,2,0,1,2,2,0,1,1,0,0,1,1,1,1,0,0,0,2,0,0,0,0,0,0,0,2,0,1,1,0,2,1,0,2,0,0,0,2,0,1,0,0,1,1,0,1,1,1,2,0,2,0,2,0,1,0,1,0,1,2,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,2,0,0,1,0,1,0,0,2,1,0,0,1,1,1,1,0,0,2,0,1,0,2,1,2,0,0,0,0,0,2,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,2,1,0,0,1,1,2,0,0,1,0,0,1,1,2,1,1,1,2,0,0,0,0,0,1,1,1,0,1,0,1,1,0,0,2,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,2,1,0,0,0,0,0,1,0,2,1,0,0,0,2,1,1,0,2,0,1,0,0,0,0,0,1,1,1,1,1,2,0,0,1,0,0,1,0,0,1,0,0,1,2,0,0,0,2,0,0,0,0,1,0,0,0,2,0,0,1,1,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,1,2,0,0,2,0,1,0,0,1,0,0,0,2,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,1,0,2,1,0,1,0,1,0,0,2,1,0,0,0,2,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,2,2,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,2,0,2,0,0,0,0,0,1,0,0,1,1,0,0,0,0,2,1,0,1,0,2,0,2,0,2,0,0,0,0,0,1,0,1,0,0,0,1,2,1,0,1,0,1,0,0,1,2,0,0,0,1,0,0,0,0,2,0,1,1,0 2,1,1,1,0,0,0,1,0,2,1,0,0,1,0,0,0,1,0,0,0,0,1,1,1,2,1,2,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,1,1,0,0,1,1,1,2,0,0,0,0,0,2,1,1,2,1,0,1,0,1,1,0,2,0,0,1,0,2,0,0,1,0,2,0,0,1,0,2,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,1,1,0,1,1,2,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,2,1,2,1,1,0,1,2,1,2,0,1,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,1,1,1,0,0,2,1,2,2,2,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,2,1,0,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,1,2,0,1,0,0,1,0,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,1,2,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,2,0,0,0,0,2,1,0,0,0,0,0,2,1,0,0,0,1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,0,1,2,1,0,0,0,2,1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,2,0,0,1,1,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,2,1,2,0,1,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,1,1,0,1,1,1,2,1,0,1,0,1,0,1,1,0,1,1,0,0,1,1,0,1,2,0,0,2,0,1,0,0,0,0,0,1,1,2,2,0,1,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0,2,1,1,0,0,1,2,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,1,0,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,2,1,1,2,0,1,2,0,0,0,0,1,0,1,0,1,0,0,2,0,0,1,0,2,0,2,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,1,0,0,0,0,1,0,1,0,2,1,0,2,1,0,0,2,1,0,0,1,0,1,0,0,0,0,2,0,2,0,0,0,0,0,1,2,0,0,1,1,2,1,1,0,2,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0,2,0,0,2,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,2,1,1,2,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,2,0,0,1,0,1,2,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,2,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,1,1,1,1,1,0,1,0,1,0,1,0,2,1,2,0,1,2,0,1,0,0,0,1,0,0,0,2,0,2,0,0,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,2,0,0,1,2,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0,0,2,2,0,1,0,0,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,2,0,0,1,0,0,0,1,0,2,1,1,1,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,2,0,1,1,1,0,1,1,2,1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0 2,1,2,0,0,0,0,1,1,2,1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,2,0,0,0,1,2,1,2,0,0,0,1,0,0,1,0,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,0,1,1,1,0,1,2,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,2,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0,2,0,1,1,1,2,1,0,1,0,0,0,1,1,0,1,0,1,0,1,0,1,1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,1,1,1,0,0,1,2,0,0,2,2,1,1,0,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0,0,2,1,0,0,1,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0,2,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,2,1,1,1,1,0,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,2,1,0,0,0,1,0,2,0,0,0,0,1,0,0,2,0,1,0,0,1,2,2,1,0,0,1,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0,2,1,0,1,0,0,0,0,0,1,2,0,0,0,2,0,1,0,1,0,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,0,1,0,0,1,1,2,1,0,0,2,0,0,1,1,2,1,0,2,0,1,0,0,1,1,1,1,2,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,2,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,2,1,1,2,2,1,1,0,2,0,0,1,1,0,0,0,2,0,1,0,0,1,2,1,0,1,1,0,0,0,0,1,2,2,0,1,0,1,2,2,2,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,2,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,2,0,0,2,0,0,1,0,2,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,1,1,1,0,0,0,2,1,0,1,1,0,0,1,0,0,2,0,1,0,2,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,1,2,1,0,0,0,0,0,1,1,1,0,0,1,2,1,1,2,1,1,0,0,0,0,0,0,2,0,1,0,1,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0,2,0,0,0,1,0,1,0,2,0,0,0,1,1,0,2,1,0,1,0,0,1,0,2,0,0,2,0,0,0,1,1,0,1,1,1,0,1,0,1,1,2,0,1,0,0,0,0,1,0,2,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,2,0,0,0,1,2,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,2,0,0,1,0,0,0,0,0,0,2,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0 0,0,0,2,0,1,0,1,1,1,1,2,0,1,2,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0,1,1,0,2,0,0,1,2,1,0,1,0,0,2,0,0,0,1,0,1,1,0,2,1,1,2,0,0,0,0,1,0,0,1,0,2,1,0,0,1,2,0,0,0,0,0,1,2,0,0,0,0,1,0,2,0,0,0,1,1,0,1,0,1,1,0,1,1,2,0,1,0,2,0,0,0,2,0,1,0,2,1,0,0,0,1,1,0,1,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,2,0,0,1,0,1,0,2,0,0,1,0,1,1,1,0,0,0,1,1,0,1,1,1,0,1,1,0,0,0,0,1,2,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,2,0,0,1,1,1,1,0,0,0,0,0,1,2,0,1,1,0,1,1,0,0,1,0,0,1,0,0,2,0,0,2,1,1,0,0,0,0,0,1,0,0,1,0,0,1,2,0,0,0,2,1,1,0,2,0,1,0,0,0,0,1,0,0,0,0,1,2,2,0,0,0,2,0,0,0,0,0,0,2,2,0,0,0,0,1,0,1,0,1,0,0,0,2,0,1,0,0,0,1,0,0,0,0,1,0,0,0,2,0,1,1,1,1,1,0,1,1,0,0,1,2,0,0,2,0,1,0,2,0,1,1,1,0,1,1,0,2,0,1,0,0,2,0,0,0,0,0,0,0,0,1,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,1,1,2,1,0,2,0,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0,0,2,1,1,0,2,1,1,1,0,2,1,0,0,1,1,1,0,1,0,0,0,1,0,0,0,1,1,1,0,0,1,0,2,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,0,2,0,1,1,2,0,0,0,0,0,0,1,0,1,0,1,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,1,2,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,2,1,0,0,1,0,1,0,0,1,1,1,1,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,2,1,0,1,2,0,0,2,1,0,0,1,0,2,0,2,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,2,0,2,0,0,1,0,0,0,1,0,0,0,2,1,2,1,0,0,0,0,0,0,1,0,2,0,0,0,1,0,0,1,2,0,1,1,0,1,0,0,0,0,0,0,0,2,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,1,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,2,1,0,1,0,1,0,2,0,0,0,0,1,1,1,1,2,0,1,1,0,0,0,1,0,1,0,1,2,1,1,0,0,0,1,1,1,0,0,1,1,2,0,0,0,1,0,1,0,0,0,0,2,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,1,2,0,1,1,0,0,0,0,0,0,0,0,1,1,1,1,0,2,0,1,0,1,0,1,0,1,0,1,1,1,0,2,0,1,0,0,1,1,1,0,0,1,2,0,1,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,2,2,0,0,1,1,0,0,0,1,0,1,0,1,0,2,1,0,0,0,0,0,2,2,0,0,0 0,0,0,1,0,0,0,1,0,1,0,1,0,1,1,1,1,2,0,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,2,1,0,0,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,1,1,1,0,1,0,0,1,0,0,2,1,0,1,0,0,0,0,2,0,0,0,0,0,1,1,0,0,1,2,0,0,1,0,0,0,0,2,2,1,0,1,0,2,0,0,0,0,1,1,0,1,0,1,1,1,0,0,0,1,0,2,1,1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,2,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,1,2,0,0,0,1,1,0,1,2,1,1,0,0,0,0,2,0,2,2,1,2,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,1,1,1,0,2,0,0,1,0,0,0,2,1,0,0,0,1,0,1,0,1,1,1,0,0,1,1,0,0,1,2,0,1,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,2,1,0,0,0,0,1,1,0,2,0,0,0,0,1,0,1,0,1,2,1,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,2,0,1,1,2,0,0,1,0,1,0,0,0,0,0,0,1,2,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,1,1,0,0,1,1,0,2,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,1,1,0,2,0,1,2,1,2,0,2,0,0,0,0,1,0,0,1,0,0,1,0,2,1,0,1,0,0,0,0,0,0,0,1,2,1,0,0,2,0,1,0,1,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,2,2,1,0,0,0,1,1,1,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,1,1,1,0,1,0,1,0,1,1,1,0,1,2,1,1,0,0,1,1,1,0,0,2,0,0,2,0,1,0,2,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,1,0,2,0,0,0,1,0,0,2,2,0,0,0,1,2,0,0,1,1,1,0,2,1,0,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,1,2,1,1,0,1,0,1,2,0,0,0,2,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,2,1,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,2,0,0,2,0,0,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,2,0,1,2,0,2,0,0,0,1,0,0,1,0,1,0,1,0,0,1,2,0,1,0,0,0,1,0,0,1,0,0,0,2,1,0,0,1,0,0,2,0,0,0,1,1,0,1,0,0,1,1,2,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0,1,2,0,0,0,2,1,0,0,0,0,0,1,0,0,1,0,1,0,2,1,1,1,0,1,0,1,1,1,1,2,1,0,1,1,0,1,0,0,0,2,0,0,1,1,0,0,1,1,1,0,0,2,0,0,0,0,1,1,2,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0,1,2,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,1,2,0,0,1,1,1,0,0,0,1,1,1,0,2,0,0,1,1,0,2,0,0,1,0,0,1,2,2,0,0,0,0,0,1,0,0,0,2,1,1,0,0,2,0,2,0,1,1,0 1,0,1,2,1,0,0,0,1,1,1,2,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,2,0,2,2,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0,0,0,2,0,0,0,1,2,0,0,0,0,0,1,0,2,1,1,1,1,1,1,0,0,1,1,0,0,1,1,1,2,0,0,0,0,2,1,2,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0,1,1,1,0,2,0,0,1,0,0,0,0,1,1,1,1,0,0,1,0,2,1,0,0,0,0,1,1,0,0,1,0,2,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,1,0,0,2,0,2,0,0,2,1,1,0,0,0,0,1,0,1,1,0,0,0,2,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,2,0,0,0,0,2,0,2,0,2,1,1,0,1,2,0,0,0,1,0,2,1,0,0,1,0,1,1,0,0,1,1,0,0,0,2,1,2,0,0,0,0,2,1,0,0,0,0,2,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,2,1,1,0,1,2,0,0,0,0,0,1,2,0,0,1,0,0,1,1,0,0,1,1,1,2,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,1,1,0,0,1,2,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,1,0,1,1,0,1,0,0,2,0,2,1,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,1,2,1,0,0,0,1,0,1,1,0,1,1,0,0,1,1,2,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,2,2,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,2,0,1,0,0,0,1,0,1,0,0,0,0,1,2,1,1,1,0,1,0,0,2,0,0,0,0,1,2,1,1,0,0,1,1,1,1,0,0,0,0,2,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,1,1,0,2,2,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,1,2,1,2,1,1,0,2,1,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,2,1,0,1,1,0,1,0,2,0,0,1,1,0,1,0,1,2,2,0,0,1,0,1,0,0,0,1,0,0,0,2,1,1,0,1,0,1,0,0,1,1,0,1,2,1,2,0,1,0,0,1,1,0,0,0,0,0,1,0,2,0,1,0,2,1,0,0,0,0,1,2,1,0,1,0,1,0,2,2,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,2,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,1,2,1,0,0,0,0,0,2,0,0,1,1,0,1,0,0,1,0,1,0,0,1,2,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,1,1,1,2,1,1,0,0,0,0,2,1,0,0,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,2,1,2,0,0,0,2,1,0,1,1,0,0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,2,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,1,0,0,0,0,2,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0 0,0,1,1,2,0,1,1,1,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,2,1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,2,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,2,0,0,2,0,0,0,1,0,0,2,0,0,1,0,2,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,2,0,1,2,2,0,0,0,0,1,1,2,0,0,0,0,0,0,1,1,1,0,1,2,0,0,0,0,2,0,1,0,0,1,0,1,1,0,2,2,1,1,0,1,0,0,2,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,2,2,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,2,2,0,0,2,1,0,0,2,0,0,1,0,1,0,0,0,0,0,0,2,0,1,2,1,0,2,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,2,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,2,1,0,1,0,1,1,1,0,2,1,0,1,1,0,0,1,0,0,1,0,2,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,2,0,0,1,1,1,1,0,1,1,0,1,1,1,0,2,0,0,1,2,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,1,0,0,1,0,1,1,1,2,0,0,1,1,1,1,0,2,0,0,0,0,0,1,0,0,2,0,0,0,0,1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,2,1,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,2,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0,2,0,0,0,0,1,1,0,0,0,1,0,2,0,0,2,1,0,1,0,1,0,0,0,0,1,2,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,2,1,1,0,0,0,1,1,0,0,0,0,1,0,2,0,1,0,1,0,2,0,2,0,0,0,2,0,0,1,1,1,1,0,1,1,1,2,1,0,2,1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,1,1,1,2,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,2,0,1,1,1,1,1,0,0,1,1,0,1,1,0,0,1,1,2,0,0,0,0,0,0,0,0,1,0,1,1,1,2,0,0,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,1,0,1,0,2,2,0,2,0,2,0,0,0,0,2,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,1,0,1,0,0,0,2,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,2,1,2,0,1,0,2,1,0,1,1,0,0,2,1,2,1,1,0,0,0,1,2,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,1,0,2,0,0,0,0,1,1,0,1,0,1,0,2,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,2,2,1,0,0,1,1,0,1,1,1,2,2,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,1,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,2,0,1,0,0,1,0,0,1,0,1,0,1,0,2,0,0,0,2,1,0,0,0,2,2,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,2,0,0,0,0,0,1,0,2,1,0,0,0,0,0,0,0,2,1,1,1,0 1,0,1,1,1,0,0,1,0,1,2,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,2,2,1,0,0,1,1,1,1,0,0,0,0,2,0,0,1,0,0,0,1,2,1,0,1,0,0,2,1,1,0,1,2,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,2,0,0,1,1,1,0,0,0,1,1,1,2,2,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,2,0,0,2,1,0,0,0,1,0,1,0,0,2,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,2,1,0,0,0,0,0,0,1,0,1,1,1,2,0,1,1,0,2,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,1,0,1,0,0,2,2,0,0,1,1,0,1,1,0,2,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,1,1,1,2,1,1,1,1,0,0,0,0,0,0,0,0,1,0,2,0,0,1,1,1,0,1,0,0,0,1,2,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0,1,2,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,0,0,2,0,1,1,0,1,0,1,0,0,0,0,0,1,0,1,1,2,0,1,1,2,0,1,0,0,0,1,0,1,1,2,1,1,0,2,1,0,2,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,2,0,0,0,1,0,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0,1,1,2,1,0,1,0,0,0,2,0,0,0,0,1,0,2,1,2,0,1,1,2,1,1,0,0,0,0,1,0,2,1,0,1,1,0,0,1,0,0,0,1,0,2,0,0,0,1,1,0,0,1,0,1,0,0,0,2,0,1,1,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,2,1,1,0,1,1,0,1,0,1,0,2,0,0,0,0,1,2,0,1,1,1,0,0,1,2,2,1,1,2,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,2,0,2,0,1,0,0,0,1,0,0,0,0,2,0,1,0,0,1,2,0,1,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,1,1,2,0,1,0,1,2,0,0,2,0,1,2,0,0,1,0,0,2,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,2,0,0,1,1,0,0,2,0,1,0,1,0,1,0,1,1,1,0,2,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,2,0,0,1,1,1,1,0,0,0,1,0,2,0,2,0,1,0,0,0,1,0,2,0,0,1,1,1,0,1,2,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,1,2,1,1,0,0,1,2,0,0,0,0,0,0,2,1,1,1,0,2,1,0,0,0,2,0,0,0,1,1,1,1,1,0,0,0,2,0,1,0,1,0,0,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,2,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,1,2,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,2,1,0,0,0 0,0,1,2,0,1,0,1,1,1,1,1,0,1,2,0,1,0,0,0,0,0,0,1,1,0,2,1,1,0,0,0,2,0,0,0,0,1,0,0,1,2,0,0,1,1,0,0,0,2,2,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0,1,1,0,2,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,2,0,0,2,0,1,0,0,0,1,0,0,0,0,1,1,2,0,2,0,2,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,1,1,0,0,1,1,2,0,0,0,2,0,1,1,0,0,0,0,1,0,0,2,0,1,0,2,0,1,1,0,0,0,1,1,0,0,0,0,1,2,0,0,1,0,1,1,0,2,1,0,0,0,2,1,0,2,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,1,0,2,1,1,0,1,1,0,0,0,0,0,1,1,0,2,0,0,0,0,0,1,0,1,2,0,0,0,1,0,2,0,0,0,0,0,2,0,0,2,1,2,0,0,1,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,2,1,1,1,0,0,2,0,1,1,0,1,1,0,0,0,1,0,0,0,2,1,2,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,1,0,1,0,2,1,0,0,1,1,0,0,0,0,0,2,2,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0,1,2,0,0,1,2,2,1,0,2,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,2,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,2,1,1,0,0,0,1,0,2,1,0,0,1,1,1,0,1,1,2,0,0,1,2,1,1,0,1,0,0,0,0,1,1,0,1,2,0,1,0,2,2,2,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,1,2,0,2,1,0,0,1,0,0,0,2,2,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,2,2,1,0,0,0,0,1,2,0,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,2,1,0,0,2,0,0,0,0,0,0,1,0,1,1,0,1,2,0,1,1,0,0,0,0,0,1,0,2,1,1,0,1,1,0,0,0,1,2,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,2,0,0,0,1,2,1,0,2,1,0,0,1,0,1,1,1,1,0,0,1,0,2,0,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,2,0,0,0,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,1,2,2,0,0,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0,1,1,2,0,0,2,0,0,1,0,0,1,0,2,0,2,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,2,2,0,0,1,1,2,0,0,0,1,1,0,0,0,2,2,2,1,0,1,0,1,1,0,0,0,0,1,2,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,2,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,2,0,0,0,1,0,0,0,0,1,1,2,2,1,1,2,0,0,1,1,0,0,0,0,1,0,0,2,1,0,0,1,2,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,2,0,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0,2,1,1,1,0,0,0 1,0,1,0,2,1,0,1,1,0,1,0,0,1,2,1,0,2,0,0,0,0,2,0,1,0,1,0,0,1,2,0,1,0,0,0,1,1,1,0,2,1,1,2,0,1,0,2,1,0,1,0,0,0,2,0,1,1,0,0,0,0,1,1,0,0,0,1,0,2,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,2,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,2,1,0,2,1,0,0,1,0,0,1,0,0,2,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,2,0,0,1,0,1,1,0,2,0,0,1,0,1,0,1,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0,1,2,0,2,1,1,0,0,0,1,1,1,0,1,1,0,1,1,2,1,1,1,0,0,1,0,0,1,0,0,0,1,2,2,0,0,0,0,2,0,0,0,0,2,1,0,0,1,1,1,2,1,0,0,0,1,0,1,2,1,1,1,1,0,2,0,0,0,1,1,2,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,1,2,0,0,0,0,2,0,0,0,0,0,1,1,0,1,0,1,2,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,1,0,0,2,0,0,0,1,1,1,0,0,0,1,0,0,1,0,2,1,1,2,1,0,0,0,2,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,1,0,0,0,0,2,1,0,1,1,0,0,0,0,1,1,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,1,1,1,1,2,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,1,0,1,0,0,0,1,2,1,1,0,2,0,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,2,0,1,1,0,0,2,1,1,0,1,1,0,0,1,0,0,1,1,1,0,1,1,1,0,0,0,1,0,2,0,0,1,0,0,0,2,1,1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0,1,2,0,0,0,0,1,0,1,0,1,0,0,0,2,0,1,0,1,0,1,0,0,0,0,1,0,0,1,2,2,0,0,2,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,2,2,0,2,2,0,2,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0,1,1,1,0,2,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,2,1,0,1,1,0,0,0,0,0,0,0,2,0,0,2,1,1,0,0,0,0,2,0,0,1,1,1,0,2,2,1,0,1,1,0,0,1,1,2,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,1,1,2,1,1,1,0,0,0,0,0,2,0,2,0,0,0,1,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,1,1,1,0,2,0,0,0,0,0,0,2,0,2,0,1,0,0,0,1,0,2,0,2,1,1,0,0,0,0,2,1,0,1,1,2,2,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,1,0,0,0,0,1,0,1,2,0,2,1,1,1,1,1,0,0,2,2,1,0,1,1,1,0,0,2,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,2,0,0,1,0,0,0,2,0,0,1,0,1,1,0,0,0,1,1,1,2,0,1,1,2,0,1,0,0,2,1,0,0,0,0,1,0,0,0,1,1,1,0,2,1,0,1,0,2,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,1,0,0,2,0,0,2,1,1,0,0,0,0,0,1,0,2,0,0,2,0,0,1,0,1,0,0,0,0,0,1,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,2,0,0,0,0 1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,2,1,0,1,2,0,1,0,1,0,0,0,0,0,1,0,1,1,0,2,1,0,1,1,0,1,0,0,2,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,0,1,1,2,1,0,1,2,0,0,0,0,1,2,1,0,2,0,2,0,2,2,0,0,0,1,1,0,0,0,0,1,0,1,2,0,1,0,0,1,1,1,0,1,1,0,0,0,2,2,0,1,0,1,0,1,1,2,1,0,1,1,1,1,0,0,2,0,2,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,2,0,0,2,0,0,1,1,1,0,1,1,0,1,0,0,1,0,0,2,0,1,0,0,0,0,0,2,0,0,0,1,0,0,1,2,1,0,1,1,0,0,0,2,1,0,1,1,2,0,2,0,1,0,0,1,0,0,0,2,1,0,0,1,1,0,0,0,1,0,1,0,0,1,1,2,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,2,2,0,1,0,2,0,0,2,1,2,0,0,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,2,0,1,1,0,0,0,1,0,1,0,2,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,2,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,1,1,1,1,1,2,1,1,0,0,0,1,1,1,1,0,1,2,0,0,1,0,1,0,1,0,0,0,1,0,1,1,1,1,1,2,0,1,1,1,0,0,0,1,0,0,0,1,0,0,1,1,0,1,0,2,1,1,0,1,0,1,1,0,1,0,1,2,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,2,0,1,2,1,1,1,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,2,0,1,0,2,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,2,0,0,1,1,0,1,0,0,1,1,1,1,0,0,2,0,0,1,0,0,0,1,1,0,2,1,0,1,1,1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,2,0,2,0,0,1,1,0,0,0,2,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,2,0,1,1,1,0,2,0,2,1,0,0,0,1,0,0,0,1,0,1,0,2,0,0,1,1,0,2,0,1,0,0,1,0,0,0,0,1,0,0,2,1,0,1,1,0,2,1,0,0,2,1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,2,1,1,0,2,0,0,0,0,0,1,1,0,0,0,1,0,1,2,1,1,1,2,0,1,0,2,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,1,2,0,1,2,1,2,0,0,1,1,0,0,1,0,0,1,1,2,0,0,1,1,1,0,2,0,1,1,0,0,0,2,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,0,2,1,1,1,1,0,0,0,2,0,0,1,2,1,2,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,1,1,0,0,0,1,1,0,0,0,2,0,0,1,1,0,0,0,0,1,0,0,0,0,2,1,0,0,0,2,2,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,2,1,1,0,0,1,0,0,0,0,0,2,0,1,0,0,2,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,2,1,1,1,0 0,0,1,2,0,0,0,0,2,2,0,2,1,2,1,2,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,2,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,2,0,0,0,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,1,1,1,0,0,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0,1,0,1,2,0,0,0,0,0,1,1,1,2,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,2,0,1,0,0,2,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,2,0,0,1,1,1,0,0,1,1,1,0,0,2,0,1,2,0,1,0,2,0,0,0,1,1,0,1,2,1,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,1,1,1,0,1,2,1,0,1,1,1,0,0,1,0,1,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0,2,2,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0,1,2,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,1,2,1,0,0,1,0,0,1,0,2,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,1,0,1,1,1,1,0,2,0,0,0,0,1,0,2,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,2,2,1,0,0,1,0,0,0,0,1,2,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,2,2,2,0,0,0,1,1,1,1,0,1,0,0,0,1,0,2,0,0,1,0,2,1,2,0,0,1,0,0,0,0,2,2,0,0,0,2,1,0,0,1,0,1,0,0,1,0,2,0,0,1,2,0,0,0,1,0,1,0,0,0,1,1,0,0,2,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,2,2,1,0,0,1,0,1,1,0,0,0,1,1,0,1,2,0,1,1,0,0,1,1,0,0,2,0,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,1,1,0,2,0,0,0,1,2,0,0,0,2,1,0,1,0,0,2,0,1,0,1,0,1,0,1,0,0,0,1,1,1,1,1,1,1,1,0,2,1,0,0,1,1,0,1,0,0,0,1,1,2,0,0,1,0,0,1,0,0,2,0,0,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,1,2,0,0,0,2,0,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,2,0,0,0,0,0,2,1,0,1,1,1,1,0,2,1,1,0,0,0,0,1,0,1,0,0,2,1,0,0,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0,2,2,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,2,0,1,2,1,1,1,0,1,1,1,1,1,1,1,1,2,0,0,0,0,2,2,0,0,0,0,1,1,1,1,1,0,0,1,0,0,2,1,1,1,0,1,0,0,0,0,1,1,0,2,0,0,0,0,0,0,2,1,0,0,0,2,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,1,2,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,1,1,0,1,1,1,1,1,1,2,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,2,2,0,0,0,0,1,1,0,0,1,0,0,1,0,2,0,0,0,1,1,0,0,0,1,0,0,0,0,1,2,0,0,0,1,0,1,2,1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,1,1,0 1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,2,2,2,0,0,1,0,2,1,0,0,0,1,1,0,2,1,1,1,0,0,1,2,1,2,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,1,2,1,0,0,1,2,0,2,1,0,0,0,0,1,0,0,1,1,0,1,1,1,2,0,0,0,0,0,1,1,0,0,0,2,1,0,2,0,0,1,2,2,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,2,1,1,1,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,2,1,0,0,1,0,2,1,0,0,1,0,0,0,1,1,1,0,0,1,1,2,1,0,0,0,0,0,0,0,1,2,0,2,1,0,0,1,1,1,1,1,0,0,0,0,2,0,0,1,0,2,0,1,2,0,0,0,0,0,0,0,1,0,1,2,1,2,0,0,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,1,1,1,0,0,2,1,1,0,0,2,1,0,0,1,0,2,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,1,1,1,2,0,0,0,0,1,1,0,2,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,1,2,0,1,0,0,0,2,0,0,0,0,1,1,1,1,0,1,1,0,1,2,0,1,1,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,2,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,0,0,1,0,0,1,1,0,2,1,1,0,1,1,2,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,2,0,0,1,0,1,1,0,0,0,1,1,2,0,1,0,1,0,1,2,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,2,0,0,1,0,0,1,0,0,1,1,2,0,1,0,1,0,0,2,0,1,1,0,0,0,0,0,1,1,1,0,0,1,1,0,2,2,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,2,2,1,1,1,1,0,0,0,1,1,1,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,0,1,0,1,0,2,1,0,0,0,2,2,1,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,2,1,0,1,0,2,1,1,0,0,1,0,1,0,1,1,2,0,0,0,0,0,2,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,2,1,1,0,1,0,0,2,1,1,0,2,0,2,0,0,1,2,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,2,0,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,2,0,2,0,0,0,0,0,0,1,0,1,1,0,2,0,0,0,1,2,1,2,0,0,1,1,0,0,0,1,2,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,1,1,0,0,2,0,1,1,0,0,1,0,1,0,1,0,1,1,1,1,2,0,0,0,0,1,0,0,0,2,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,2,0,0,0,0,1,0,1,1,2,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,1,1,1,0,1,1,0,1,1,1,1,0,0,2,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,0,0,1,0,1,1,2,0,0,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0 0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0,0,2,0,0,0,0,2,0,0,0,1,0,2,0,0,0,0,1,0,1,2,0,0,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,0,2,0,0,0,0,2,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,2,0,0,1,0,0,2,0,1,1,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,2,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,2,0,0,0,0,2,0,1,1,0,2,1,1,0,0,0,1,0,0,1,1,1,0,1,2,0,1,0,2,0,1,0,1,1,0,0,0,0,2,0,2,1,1,0,0,0,0,1,1,2,0,0,0,0,1,1,0,0,2,1,1,1,2,0,0,0,1,0,1,1,0,0,0,1,0,1,2,0,0,0,1,0,0,0,1,0,0,2,1,0,1,0,1,2,0,0,1,1,0,0,1,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,2,1,1,1,1,1,0,1,0,1,2,0,2,0,0,1,0,1,0,0,0,0,1,0,2,0,2,2,0,0,0,0,0,0,0,1,0,1,1,1,0,1,2,0,1,0,0,1,1,1,1,2,0,0,0,1,1,2,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,1,1,2,1,0,1,2,0,1,0,0,0,0,2,0,0,0,2,0,0,1,0,0,2,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0,2,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,1,2,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,1,1,1,1,2,0,0,0,1,2,2,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,2,0,0,2,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0,1,1,2,1,0,0,0,0,1,1,0,1,0,0,2,0,0,1,0,0,1,0,2,0,2,1,1,0,0,2,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,1,1,1,0,1,0,1,2,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,1,2,0,0,0,1,1,0,2,0,1,0,0,0,2,0,1,0,0,2,0,0,0,1,1,0,0,1,2,0,0,1,1,1,0,0,2,2,0,1,0,1,0,0,0,2,0,0,0,0,1,0,1,0,0,0,1,2,2,1,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,2,1,1,0,2,0,0,0,0,0,1,1,2,0,2,0,1,1,1,0,0,0,0,1,0,1,1,1,2,1,0,1,0,1,1,0,1,0,1,1,1,2,1,1,0,0,0,1,0,0,2,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,2,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,2,0,0,0,0,2,1,1,0,1,0,0,0,0,2,0,1,0,0,1,1,1,2,0,0,0,2,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,2,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,1,2,1,0,0,1,0,0,1,0,1,1,0,1,1,1,1,2,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0 0,0,1,1,0,0,0,1,0,2,2,1,0,0,1,1,0,0,0,0,0,0,2,0,0,1,2,1,0,0,0,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,2,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,2,2,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,2,0,1,1,1,0,0,0,0,2,0,1,2,0,1,0,2,2,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,1,1,1,1,0,0,0,2,0,0,0,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,2,1,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0,1,2,0,1,0,1,0,0,1,0,1,1,0,0,0,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,1,2,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,2,2,1,0,0,0,1,0,0,2,0,1,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,2,0,0,0,2,0,0,1,0,1,2,1,1,0,1,0,1,0,0,2,0,0,1,1,0,0,0,0,1,0,0,2,1,0,0,1,1,0,0,0,0,0,2,2,0,0,1,1,0,1,0,0,2,1,1,0,2,1,0,0,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,2,0,1,1,0,0,0,0,1,1,0,2,0,0,0,2,1,2,0,1,0,0,2,0,0,0,0,0,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,2,0,1,0,0,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,1,2,0,0,0,0,0,0,1,0,0,1,0,0,1,1,1,1,0,0,1,1,2,0,0,0,0,2,0,0,0,0,0,0,2,1,2,0,0,2,0,0,2,1,1,1,0,0,1,1,0,1,0,2,0,2,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,2,1,1,1,0,2,1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0,1,1,2,0,2,1,1,0,0,1,0,0,0,0,2,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,2,1,0,1,0,0,0,2,0,2,0,0,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,1,2,2,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,2,1,1,0,0,0,2,1,1,0,0,0,0,0,0,0,0,1,0,2,1,0,0,1,0,0,0,0,2,2,0,1,0,1,0,0,0,0,0,0,2,1,1,2,1,1,2,0,1,1,1,0,1,2,2,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,2,2,1,0,1,0,0,0,2,0,2,1,0,1,2,2,0,2,1,1,0,0,0,1,0,0,1,0,1,2,2,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,1,0,1,1,1,2,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,2,0,0,0,0,1,2,1,1,1,0,1,0,1,0,1,0,0,1,1,1,2,0,0,1,0,0,1,0,1,0,0,0,1,2,1,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0 1,0,0,1,2,0,0,0,2,0,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,2,0,2,0,1,1,0,1,0,1,0,2,1,1,0,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,0,0,2,1,1,1,0,2,0,1,1,1,1,0,0,0,0,0,1,2,1,0,1,1,0,1,1,0,0,2,1,0,0,1,0,0,1,1,1,1,2,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,2,0,1,1,1,1,2,0,0,0,0,1,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,2,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,2,0,1,0,0,0,0,0,0,1,0,1,2,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,1,2,0,0,0,0,0,1,1,0,2,0,2,1,1,1,1,0,0,0,2,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,1,2,0,1,1,0,0,0,2,0,1,0,1,1,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,0,1,1,1,2,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,2,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,2,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,2,0,2,2,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,2,1,1,1,0,0,1,0,0,0,1,0,2,0,1,1,0,0,1,0,0,0,2,0,0,1,0,1,0,2,0,1,0,1,0,2,1,0,0,0,0,1,1,1,2,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,2,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0,2,0,1,0,1,0,1,0,0,0,1,2,0,0,2,1,0,2,1,1,1,0,2,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0,1,0,2,1,0,0,0,0,0,2,1,0,0,0,0,1,1,0,1,2,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,1,2,1,0,0,2,1,1,1,0,1,1,0,0,2,0,1,1,1,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,2,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,1,0,0,0,1,0,1,2,1,0,0,0,0,1,1,0,1,1,1,0,2,2,1,1,0,0,0,0,0,0,1,1,1,1,2,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0,1,1,1,0,1,1,0,0,1,1,2,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,2,0,0,2,0,0,1,0,0,1,0,0,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,2,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,2,2,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,1,0,2,0,1,0,2,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,2,0,0,1,0,0,0,2,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0 0,0,0,1,1,0,0,0,0,2,1,0,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,2,1,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,1,2,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,1,0,1,1,2,0,0,0,1,0,0,0,0,1,2,0,2,0,0,0,1,0,0,0,0,1,1,2,0,1,0,0,2,1,0,0,0,1,0,1,0,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,2,1,1,1,1,0,0,0,0,2,0,0,1,1,0,0,0,2,0,0,2,1,2,1,0,0,1,0,1,0,0,0,0,0,0,2,2,1,1,0,1,0,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,1,0,1,1,1,0,0,0,1,1,2,0,1,0,1,1,1,0,0,2,1,0,0,1,1,2,0,1,0,1,0,0,0,2,2,1,0,0,0,1,0,0,1,0,0,0,2,1,0,0,0,1,0,0,1,2,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,1,1,1,1,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,2,0,1,1,0,1,0,0,0,2,1,0,0,0,1,1,1,0,1,1,1,2,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,1,2,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,2,0,2,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,2,1,0,1,1,1,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,1,1,1,0,0,1,0,1,0,0,2,1,2,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,2,0,1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,1,2,0,0,0,1,2,2,0,0,1,0,0,1,0,0,1,0,0,0,1,0,2,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,2,1,1,1,0,0,2,1,0,0,1,2,0,0,1,0,1,2,0,0,2,0,1,2,0,0,0,2,0,1,0,1,0,0,0,1,0,0,2,0,0,2,1,0,1,1,0,0,0,0,0,0,1,1,1,2,0,0,1,0,2,2,1,2,2,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,2,0,0,0,0,0,2,2,1,1,1,0,0,0,1,1,1,1,1,2,0,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,1,2,0,1,1,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,2,1,0,0,0,0,1,1,0,0,2,1,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,2,1,0,0,0,1,1,0,0,1,0,2,0,0,1,0,0,0,1,1,1,1,0,1,0,2,2,1,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,2,1,2,0,1,1,2,0,0,0,1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,0,1,0,2,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,1,2,0,0,0,1,0,2,0,0,0,0,0,1,0,1,1,0,0,2,0,0,1,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,1,2,0,1,1,0,1,0,1,0,0,1,2,0,0,0,0,0,0,2,2,0,0,0 2,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,2,0,1,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,1,1,0,1,1,2,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,1,2,0,0,2,0,0,1,0,1,0,0,0,1,0,1,0,2,2,0,0,1,0,0,0,0,0,2,2,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,2,0,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,1,0,0,0,2,0,0,1,0,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,2,0,2,1,1,0,0,1,1,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,1,0,2,0,0,1,2,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0,1,2,0,2,1,0,0,2,1,0,0,1,1,0,0,1,1,1,0,0,2,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,2,0,0,2,1,2,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0,2,1,0,0,0,1,0,0,0,1,2,0,0,0,0,0,1,0,0,1,1,0,2,0,1,0,1,0,0,1,0,0,0,0,2,2,0,0,0,0,1,0,0,1,0,1,1,0,1,0,2,0,1,2,0,2,0,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,2,0,0,1,0,2,2,1,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,2,2,0,0,1,1,0,2,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,1,1,2,0,0,0,0,0,0,0,1,0,1,1,2,0,1,0,1,0,0,1,1,0,1,0,0,1,0,2,2,1,0,1,0,0,0,2,0,0,0,1,0,0,2,0,0,0,0,0,0,1,0,1,1,1,2,1,1,0,1,0,1,1,0,1,1,0,2,1,1,0,1,1,0,0,2,1,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,1,2,2,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,2,0,1,0,2,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,1,2,1,2,0,1,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,2,0,2,1,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,1,1,2,1,0,0,0,0,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,2,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,2,1,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0,0,2,2,0,1,0,0,0,0,0,1,1,1,0,2,1,1,0,0,0,0,1,0,1,1,1,0,0,1,2,0,0,0,0,0,0,1,1,0,1,1,1,2,0,0,0,1,1,0,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,2,1,1,0,1,0,1,0,0,0,1,0,0,2,1,2,0,1,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,2,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,2,0,0,0,1,0,1,0,1,0,0,1,0,0,0,1,1,1,0,0,2,0 1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,2,0,1,1,0,0,0,2,0,0,0,1,0,1,1,0,1,1,2,0,0,0,1,1,1,1,1,1,0,1,0,0,0,2,1,2,2,0,0,0,1,0,0,0,2,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,2,0,0,0,0,1,0,0,2,0,0,2,1,1,0,1,0,0,1,1,0,0,0,2,1,1,0,1,1,1,1,0,1,0,0,0,2,1,0,1,1,1,0,2,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,2,0,1,0,1,1,0,2,0,1,1,0,2,0,0,1,1,1,0,0,2,2,0,0,1,0,0,1,2,1,0,0,0,0,0,0,1,1,1,0,0,0,0,2,0,1,0,1,1,0,1,1,0,0,2,0,0,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,2,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,1,2,0,0,1,0,2,0,1,1,1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,2,0,1,1,0,1,1,0,1,2,1,0,2,1,0,1,2,0,0,0,0,1,1,1,1,0,0,2,0,2,1,0,1,0,1,0,0,2,0,0,0,0,2,1,0,0,1,2,0,0,1,2,1,0,0,2,2,1,0,1,0,0,0,1,2,0,1,1,0,1,0,0,1,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,2,2,0,0,1,0,0,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0,1,2,0,0,1,0,1,0,0,0,1,2,1,1,1,1,1,0,0,1,1,0,1,0,2,1,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,1,1,1,0,0,1,1,1,2,0,0,2,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,0,2,1,1,0,0,0,1,2,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0,2,0,0,0,1,0,2,1,0,0,0,1,1,2,0,1,0,0,0,0,1,0,0,1,1,0,0,0,2,2,1,1,0,2,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,2,0,1,0,1,0,0,0,1,1,2,0,1,0,0,0,2,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,1,1,2,0,1,1,1,1,0,0,0,1,0,1,2,0,1,0,0,1,0,0,1,2,0,0,0,1,1,0,1,2,0,1,0,1,0,0,0,2,0,0,1,1,0,0,0,0,2,0,0,0,2,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0,2,1,2,1,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,2,0,0,1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0,1,1,1,2,2,2,1,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0,1,2,0,1,0,0,0,0,0,0,1,2,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,2,1,0,2,0,2,1,0,0,1,1,1,0,0,2,1,1,0,1,0,2,0,0,0,0,0,0,0,1,0,2,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,1,0,1,0,0,0,0,1,0,0,1,0,0,1,1,2,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,2,0,1,0,0,1,0,1,0,0,0,0,0,0,0,2,0,1,0,0,0,0,2,0,0,0,0 1,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,1,0,1,0,2,1,0,0,1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,1,2,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,2,1,2,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,1,2,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,2,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,0,2,1,2,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,2,0,1,2,1,2,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,1,1,1,0,2,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,2,1,2,1,0,1,0,1,1,2,0,2,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,1,1,1,0,2,0,1,0,2,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,2,0,2,1,0,0,1,1,0,0,0,1,0,1,0,0,1,0,2,1,1,1,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,1,1,0,0,0,0,2,1,0,2,0,2,1,0,1,0,2,0,0,0,2,0,0,0,1,0,0,0,0,0,1,2,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,2,1,0,2,0,1,1,1,0,1,0,0,1,1,0,2,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0,1,1,0,2,1,1,0,0,0,0,0,1,1,1,0,1,0,2,0,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,2,0,1,0,0,0,0,2,0,0,0,0,0,0,2,2,0,0,1,1,1,0,2,1,0,0,0,2,0,1,0,1,0,2,0,0,2,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,2,0,0,2,0,1,0,0,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,1,0,2,1,0,0,1,1,0,0,1,2,0,0,0,0,0,1,1,0,1,1,1,1,0,0,0,1,0,1,0,2,0,1,0,1,1,1,1,1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,2,0,0,2,2,0,1,0,1,0,2,0,1,0,0,0,1,0,0,0,0,2,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,2,1,1,0,1,1,0,2,0,1,0,0,0,1,1,2,0,0,1,0,0,0,2,0,1,0,0,0,0,2,0,0,1,1,1,1,0,0,0,0,0,0,1,1,0,2,0,0,1,0,2,2,2,1,1,0,0,1,0,0,2,1,1,2,0,0,0,1,2,0,1,1,0,2,1,0,1,1,1,0,0,1,2,1,2,1,1,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,1,2,2,1,1,0,1,2,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,2,1,1,1,0,0,0,1,1,0,0,1,0,1,0,2,0,1,0,2,0,0,1,0,1,0,0,1,2,0,1,0,0,1,0,2,1,1,0,0,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,1,0,2,1,0,0,0,1,0,0,1,2,0,1,0,0,0,0,1,0,0,2,1,0,0,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0 2,1,2,1,0,1,0,0,2,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,2,0,1,1,0,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,0,0,0,0,1,2,2,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,2,0,0,0,1,1,1,1,0,1,1,0,1,0,0,2,0,1,2,1,0,0,0,1,0,1,0,1,1,1,0,1,2,1,0,2,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,1,0,1,1,0,0,2,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,2,1,2,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,2,1,0,1,1,1,0,1,1,1,2,0,1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,1,1,0,2,1,1,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,2,1,1,1,0,0,1,0,1,2,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,1,0,2,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,1,1,0,1,0,1,1,0,2,2,1,1,0,0,0,0,1,0,0,0,1,1,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,2,0,0,0,1,1,1,0,1,2,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,1,1,2,0,1,0,0,1,1,0,0,1,1,0,0,1,2,0,0,0,0,0,2,0,0,0,1,2,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,2,0,0,0,1,0,1,1,1,0,1,0,0,0,0,2,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,1,1,1,2,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,2,2,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,1,1,2,0,0,1,1,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,2,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,2,0,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,2,1,2,1,1,0,0,1,1,0,1,1,2,0,1,0,2,0,0,1,2,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,2,0,1,1,2,1,0,2,0,1,1,2,0,0,0,0,0,1,0,0,2,1,0,0,0,0,2,0,0,1,0,0,1,0,0,0,1,2,1,0,0,0,1,2,0,0,1,0,1,1,1,0,0,1,0,2,0,2,0,0,0,0,0,2,1,1,0,0,0,0,0,1,2,1,1,2,1,0,2,2,0,1,0,0,1,2,2,0,0,0,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,1,0,1,0,2,0,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,2,0,2,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,2,1,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0,2,0,0,1,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,2,1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,1,2,0,1,0,2,0,0,2,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0 1,0,0,1,0,0,1,1,0,0,1,2,0,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,2,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,1,1,0,1,0,1,1,2,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0,2,1,0,2,0,0,1,0,1,1,0,2,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,2,2,1,0,0,0,0,0,0,1,0,1,0,2,2,0,0,0,1,1,1,2,0,0,0,0,0,0,1,1,0,1,2,0,2,0,2,0,0,0,0,1,0,0,1,0,0,2,0,1,1,0,2,0,0,2,1,0,1,1,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,1,1,2,1,1,0,0,0,0,0,1,1,0,2,1,2,0,2,0,1,1,1,1,1,0,1,0,0,1,2,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,2,0,0,0,1,1,1,1,1,2,0,1,0,0,0,0,0,0,1,0,0,2,1,0,0,1,0,0,1,0,1,0,0,1,2,2,0,0,0,2,0,1,0,0,1,0,0,1,0,0,0,0,1,1,0,1,1,1,0,1,0,2,1,1,2,1,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,2,1,0,0,1,0,2,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,1,0,1,1,0,2,2,0,1,0,2,0,1,1,0,0,0,0,0,1,0,2,1,1,0,1,0,2,0,0,0,2,0,0,1,0,0,0,1,0,2,2,0,0,0,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,2,1,0,1,2,1,1,0,1,0,0,0,0,0,0,1,1,0,0,1,2,0,1,0,0,1,1,1,0,0,2,0,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,1,1,1,0,0,0,0,1,1,2,2,0,1,0,2,0,2,1,2,1,2,1,0,0,2,0,0,0,1,0,2,1,0,1,2,0,0,2,0,0,1,1,1,1,1,1,2,1,0,0,0,1,0,0,0,2,0,0,0,0,1,1,1,0,0,0,1,1,2,0,2,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,1,2,1,0,1,1,0,2,1,0,0,0,0,1,0,2,1,1,0,2,0,1,0,1,1,1,0,1,1,2,1,1,0,0,0,0,0,0,1,1,0,1,1,1,1,0,1,1,2,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,2,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,1,0,2,0,1,2,1,0,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,1,0,0,2,1,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,2,1,1,0,0,0,1,1,1,0,0,1,0,0,0,1,2,1,0,0,1,2,1,0,1,0,0,0,1,0,1,0,2,0,2,0,1,0,0,0,1,1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,2,0,0,0,0,1,0,0,1,0,0,1,2,0,0,1,1,1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,1,1,2,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,2,0,1,0,1,1,1,0,2,0,0,1,1,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,1,2,0,0 1,0,1,0,0,1,1,1,0,1,2,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,2,0,0,0,0,0,1,0,0,0,1,1,2,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,1,2,0,0,0,0,1,1,0,1,0,1,1,1,0,0,2,1,0,1,0,0,0,0,1,2,0,0,1,1,0,0,1,1,2,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,0,1,0,2,0,1,2,0,1,2,0,0,0,0,0,2,0,0,1,0,0,0,1,0,1,0,1,0,1,2,0,0,1,1,2,1,0,0,0,2,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,2,0,1,1,0,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,0,1,1,0,2,1,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,1,1,0,2,1,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,2,0,1,0,1,0,0,0,1,1,2,1,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,2,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0,1,2,0,0,0,0,1,0,1,1,1,1,0,0,1,2,0,0,1,0,1,2,0,0,0,0,0,1,0,0,2,1,0,0,0,1,1,2,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,2,1,0,1,0,0,1,1,0,1,0,0,1,2,0,1,0,1,0,2,1,1,1,0,1,0,1,0,2,0,1,0,0,0,1,1,0,0,2,2,0,0,1,1,0,1,1,0,0,0,2,1,0,0,1,1,0,1,0,1,0,0,0,1,0,2,0,0,0,0,1,2,0,0,2,0,1,0,0,1,2,0,0,1,0,1,0,0,0,0,0,0,0,1,2,1,0,1,1,0,0,0,0,0,1,1,1,0,0,1,1,1,2,2,1,0,1,0,1,0,0,2,0,0,1,0,1,0,0,0,1,0,0,0,2,1,1,0,1,0,0,1,0,2,1,0,0,0,1,2,1,0,1,0,0,1,1,0,2,1,1,0,1,2,0,0,2,0,0,1,0,0,0,2,0,0,0,1,1,0,0,2,1,0,1,1,1,1,1,0,1,2,0,1,1,1,2,1,1,0,1,1,0,0,1,1,1,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,1,1,0,1,0,1,2,0,1,2,1,1,0,0,1,1,0,1,0,0,1,0,1,0,2,0,0,0,0,0,2,0,0,1,0,1,0,1,0,0,2,0,0,0,1,1,1,0,0,1,0,0,0,0,0,1,1,1,2,0,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,2,2,1,1,0,2,0,2,0,2,1,1,0,1,1,0,0,2,2,0,0,1,1,0,2,2,0,0,2,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,2,0,0,0,0,1,1,0,0,0,1,0,0,1,0,2,1,0,2,1,2,1,1,1,0,1,0,0,1,1,2,1,1,0,0,1,1,2,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,2,1,0,1,1,0,1,0,1,0,1,1,1,0,1,1,1,1,1,0,0,0,2,0,1,1,1,0,1,0,0,1,1,2,1,0,0,1,0,1,0,1,0,0,2,0,0,0,0,1,2,0,1,0,1,0,1,1,1,0,1,0,0,2,0,2,0,0,0,1,0,0,1,0,0,0,0,0,2,0,1,0,1,0,0,0,0,2,1,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,0,2,0,0,0,0,2,0,1,0,0,1,1,0,0,0 1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,2,0,0,0,1,0,1,0,1,0,0,0,2,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,2,0,2,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,2,0,1,0,0,1,2,0,1,1,0,0,2,0,0,2,1,1,1,1,1,0,1,1,0,1,0,0,0,2,0,1,1,0,1,1,0,1,0,1,0,0,2,1,1,1,1,0,0,0,0,0,2,1,1,0,0,1,2,0,2,0,0,0,1,0,0,0,2,0,0,1,0,2,0,1,0,2,0,1,2,1,0,0,1,2,0,1,0,0,0,0,1,0,0,1,1,0,2,0,1,1,2,2,0,0,0,0,1,0,1,1,0,2,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,0,2,0,0,1,0,1,1,0,0,2,0,1,2,0,0,1,0,2,0,1,0,0,2,1,1,1,1,0,0,0,2,1,1,1,0,0,0,1,0,0,0,1,0,0,2,0,1,0,1,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,1,1,1,2,1,1,0,0,0,0,2,1,1,1,2,0,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,1,2,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,2,1,0,0,1,0,0,1,0,0,0,0,2,2,2,1,0,1,0,2,0,0,0,0,1,1,0,1,2,1,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,1,0,0,1,2,0,0,0,2,0,1,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,2,0,0,0,2,1,0,1,1,1,1,1,2,0,1,0,0,0,0,1,2,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,2,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0,2,0,0,0,0,1,1,0,1,1,2,0,0,0,0,0,1,1,0,1,0,0,1,1,2,0,0,2,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,1,1,0,0,1,1,0,0,2,1,0,1,2,0,1,1,0,0,2,1,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,1,2,2,1,0,1,0,0,1,0,0,0,2,0,0,1,0,0,0,1,0,1,2,1,1,1,1,1,0,0,0,1,0,2,0,1,1,0,0,0,2,1,1,0,0,0,2,0,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,1,1,0,1,2,0,0,1,2,0,1,0,0,0,2,1,0,0,2,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,1,2,0,0,0,2,2,1,1,0,1,0,0,0,2,1,1,2,1,0,1,0,2,1,0,0,0,0,1,0,0,1,2,1,0,0,0,1,0,0,1,2,1,0,0,1,2,0,0,2,0,1,0,2,1,1,2,0,2,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0,1,0,0,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,2,0,0,0,1,1,0,1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,2,0,2,1,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,2,0,0,0,0,2,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,2,0,1,1,0,1,0,0,0,0,0,2,2,0,0,0 0,0,0,2,2,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,2,1,0,1,1,1,0,1,1,0,1,2,1,1,0,1,0,0,0,0,0,0,0,0,0,0,2,2,1,0,0,0,0,0,1,0,1,1,0,2,0,1,2,0,1,1,0,0,0,1,0,2,0,1,1,1,2,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,2,1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,1,1,1,0,1,0,1,0,1,2,0,1,1,0,1,0,0,1,0,1,2,2,0,0,1,0,1,1,0,1,1,1,2,1,0,0,0,1,1,2,1,1,0,0,0,0,0,0,0,1,1,2,0,1,2,0,1,0,1,2,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,2,0,0,2,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,2,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,1,0,2,0,1,0,0,1,0,2,1,1,1,1,0,0,2,1,1,2,0,1,0,0,1,0,0,0,0,1,1,1,0,1,1,1,0,1,0,0,0,0,2,0,1,1,1,0,0,0,0,2,0,0,0,0,0,0,2,1,1,0,0,0,2,1,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,2,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,2,0,0,1,0,1,1,1,0,0,0,0,0,1,0,1,0,2,0,1,0,1,0,2,0,0,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,1,1,1,2,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,0,0,2,0,2,0,0,0,1,2,0,0,1,0,0,0,1,0,2,0,0,0,1,0,1,2,0,0,0,1,0,0,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,1,0,2,0,1,0,1,2,1,1,0,0,1,2,2,0,0,2,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,2,1,1,0,0,0,0,0,0,1,1,1,0,1,1,0,1,0,0,2,0,1,0,0,2,0,0,1,0,0,1,0,1,1,0,2,1,0,0,0,1,0,1,0,2,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,2,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,2,1,1,0,0,0,1,0,0,1,0,2,1,2,2,2,0,0,0,0,1,0,1,2,0,0,0,0,0,0,1,1,0,0,2,0,0,1,0,0,1,1,1,0,1,0,1,2,1,2,1,2,1,1,0,0,1,0,2,2,2,1,1,0,1,0,0,2,0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,2,0,0,0,0,0,0,2,0,1,1,0,0,0,0,1,0,2,0,1,2,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,2,0,2,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,2,1,0,2,0,0,2,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,2,0,0,1,0,1,2,2,0,0,0 0,0,0,1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,2,0,0,2,0,0,0,1,1,0,1,2,0,0,1,2,1,1,0,1,2,1,2,0,0,0,1,2,2,0,0,0,2,0,2,0,1,0,0,0,0,1,0,1,1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,2,2,1,1,1,0,2,0,1,0,0,0,2,0,1,0,0,2,0,0,1,1,0,1,0,0,1,0,1,1,1,2,0,1,0,1,0,1,1,0,0,1,0,0,1,2,0,2,0,2,0,0,0,0,0,0,1,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,2,0,0,2,0,0,1,0,1,0,1,0,0,2,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,2,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0,2,1,1,0,1,1,0,1,1,0,0,0,2,1,0,0,2,0,0,0,2,1,1,0,1,0,0,0,2,2,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,2,2,1,1,0,0,1,0,0,1,0,0,0,0,2,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,2,2,0,0,2,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,1,1,1,2,1,0,0,0,1,0,1,1,0,0,1,1,2,1,1,0,1,1,2,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,2,0,1,1,1,2,2,1,0,0,1,1,2,1,0,1,0,1,0,0,2,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,2,0,1,0,2,0,1,0,0,1,0,0,1,1,2,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,2,0,0,1,1,0,1,1,1,1,0,0,2,1,0,0,0,1,1,1,1,2,0,0,0,0,2,2,0,0,1,1,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,2,1,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,1,2,1,0,0,2,2,0,0,0,0,1,0,1,0,2,1,0,0,2,2,1,1,0,1,1,0,2,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,2,1,0,0,0,0,0,0,2,1,1,1,0,1,2,2,0,1,0,2,0,0,0,0,0,2,1,0,1,2,0,0,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,2,1,2,2,1,1,1,0,0,1,1,0,2,1,1,1,0,0,2,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,0,0,1,2,0,2,1,0,0,0,2,1,0,0,2,0,0,0,0,0,0,0,0,2,0,0,1,2,1,0,0,1,0,0,0,2,1,1,0,0,2,2,0,1,0,0,1,0,0,2,0,0,0,0,1,2,0,1,0,2,1,0,0,1,2,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,2,0,0,0,2,1,2,0,1,0,0,1,0,0,2,1,1,0,0,0,0,0,1,1,1,0,0,2,0,0,2,0,0,1,0,0,0,0,0,2,0,0,0,0 1,0,2,0,0,0,1,0,0,1,2,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,2,1,1,1,2,0,2,0,1,0,1,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,2,0,0,1,0,0,1,2,0,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,1,1,1,0,0,0,2,0,1,2,0,1,0,0,2,2,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,2,0,2,2,0,0,1,0,0,1,1,1,0,0,1,2,0,1,0,2,2,0,1,2,1,0,1,0,0,0,2,0,1,1,0,0,0,2,1,0,1,1,0,1,0,0,0,2,1,1,0,1,0,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,2,0,1,2,0,1,1,1,0,0,2,1,2,0,0,0,0,0,0,2,0,0,0,0,2,1,1,0,1,1,0,1,1,0,0,0,0,2,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,1,1,2,1,0,0,0,0,2,1,1,0,0,0,1,2,0,2,0,1,1,0,1,0,2,0,1,1,0,2,0,0,1,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,2,1,0,0,2,1,0,2,0,1,0,0,0,0,2,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,2,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,2,1,0,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,2,0,0,0,1,1,0,2,0,0,0,0,1,1,2,0,0,1,1,2,0,2,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,2,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,1,1,2,0,1,0,0,0,0,1,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,2,1,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,2,1,2,1,0,0,0,1,0,1,1,1,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,2,0,1,1,1,1,1,0,0,0,0,0,1,0,2,0,0,2,0,2,1,1,1,1,0,0,0,1,2,1,1,1,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,2,0,0,1,1,0,0,0,0,0,1,0,0,0,2,0,1,1,1,0,0,0,0,1,2,1,1,2,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,2,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,2,2,0,1,2,0,0,0,0,0,0,0,0,0,1,1,2,0,1,0,1,1,0,0,0,1,1,0,1,1,0,2,2,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,2,1,0,1,0,0,1,2,1,0,0,0,0,0,1,0,1,0,0,1,2,0,1,0,1,0,0,0,1,1,1,2,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,1,1,2,1,1,0,1,1,0,0,2,0,0,0,1,0,0,0,0,0,2,1,0,0,1,0,1,1,0,0,0,0,1,2,0,0,0,1,0,0,1,1,1,0,1,0,2,0,0,0,1,1,2,0,1,0,0,0,1,1,0,1,0,1,2,0,1,1,0,1,0,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0,2,1,0,0,1,0,1,0,2,1,0,1,0,0,0,2,1,1,0,0,1,0,1,0,1,0,0,2,0,0,2,0,0,1,1,2,0,1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0 1,0,2,2,2,0,0,0,0,1,1,0,0,0,1,1,1,1,1,0,0,0,1,0,2,1,1,0,0,0,1,0,0,0,2,0,2,0,0,0,2,1,1,0,2,1,0,1,1,0,2,1,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,2,0,0,2,1,1,0,2,1,0,0,0,1,1,1,1,0,0,1,0,0,2,2,0,0,0,2,1,0,0,0,1,0,0,1,1,1,0,2,1,2,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,0,1,1,2,0,0,0,0,1,0,1,1,2,1,0,1,0,0,0,2,2,0,0,1,0,0,0,0,0,1,0,1,0,2,0,2,0,1,1,0,1,0,1,1,1,1,0,0,2,0,0,1,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,2,0,1,2,0,1,2,1,1,0,0,0,0,0,1,1,0,1,2,0,1,1,1,0,2,1,0,0,0,1,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,2,0,0,0,2,1,1,0,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0,1,2,1,1,0,0,0,0,2,1,0,0,0,1,1,1,0,0,0,0,1,2,0,0,1,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,2,0,2,2,1,2,0,1,0,0,0,1,0,0,1,1,0,0,1,1,1,2,0,1,2,2,1,0,0,1,0,0,2,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,2,0,1,1,1,2,1,0,1,0,2,0,1,1,0,0,1,1,1,0,1,0,0,0,1,2,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,2,0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,1,2,1,0,1,1,1,1,2,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,2,1,1,0,1,0,1,0,0,2,1,0,2,0,0,0,1,1,2,0,0,1,0,0,2,1,1,0,0,0,0,2,2,0,1,1,1,1,1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,2,1,0,1,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,2,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0,2,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,2,1,1,1,2,1,1,2,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,2,2,1,0,1,0,0,0,1,0,0,0,1,0,2,0,0,1,0,1,0,0,0,2,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,1,2,0,1,0,0,0,0,2,1,0,0,0,0,0,1,2,1,0,0,1,0,2,1,0,1,0,0,1,0,2,0,0,0,0,0,1,1,1,1,0,0,1,1,0,1,1,0,2,0,1,1,0,1,0,0,0,2,0,0,0,0,1,1,2,1,1,0,0,2,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,2,0,1,2,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,0,2,1,0,0,0,1,1,0,0,0,1,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,2,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,0,0,1,0,1,2,0,1,0,0,0,0,0,1,0,0,2,1,1,1,1,1,1,1,0,0,1,1,1,1,2,1,0,1,0,0,0,0,1,0,0,0,0 1,0,0,0,0,0,0,0,0,2,1,0,0,1,1,1,0,2,1,0,0,0,0,0,1,0,2,1,0,1,0,0,1,0,1,0,0,0,0,0,2,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,2,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,2,1,1,0,1,1,0,0,0,2,0,1,0,0,1,0,1,2,1,0,0,0,0,2,0,1,1,0,0,0,0,1,0,1,1,1,0,2,0,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0,2,0,0,1,0,0,0,0,2,0,0,0,1,0,2,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,2,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,2,2,0,1,1,0,0,2,1,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,2,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,2,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,1,1,0,1,2,0,0,2,0,0,0,0,0,1,1,2,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,2,1,0,0,0,0,1,1,1,2,1,1,1,1,1,0,1,0,1,2,0,2,0,1,0,0,0,1,0,1,0,0,1,0,2,0,0,0,0,0,0,0,1,1,0,2,0,0,0,1,1,2,2,1,1,2,0,1,1,1,0,1,0,0,2,0,1,0,1,0,2,0,0,1,2,0,1,1,0,0,0,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,2,0,0,1,0,0,2,0,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,2,0,1,0,1,0,1,1,0,1,0,2,0,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,1,1,1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,1,0,1,2,2,2,2,0,0,1,0,2,1,0,0,0,0,0,2,0,0,0,1,2,0,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,1,0,1,0,2,0,0,1,1,0,0,2,1,1,2,2,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,1,1,0,1,2,0,2,1,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,2,1,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,2,0,0,2,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,2,0,0,1,0,1,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,2,0,1,0,0,0,2,0,0,2,0,1,1,0,1,2,2,0,0,0,0,1,0,0,1,2,1,2,1,2,0,2,1,2,1,0,0,0,0,2,0,2,0,1,0,2,0,1,0,0,0,0,0,0,0,1,1,0,0,2,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,2,1,1,0,1,1,0,2,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0,0,0,0,2,1,0,1,1,0,2,1,1,0,1,1,0,0,2,1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,2,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0 1,0,0,0,0,0,0,2,1,0,2,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,2,0,0,0,1,1,1,2,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,2,0,0,1,0,2,0,0,0,1,0,0,1,2,0,1,1,0,0,0,2,1,1,0,0,0,0,0,1,2,1,1,1,0,0,1,0,0,1,0,2,2,1,0,1,1,1,2,2,1,0,1,1,0,0,0,2,0,0,2,0,0,0,0,1,0,0,0,1,0,0,1,1,2,1,1,1,0,0,0,0,2,0,2,1,0,0,0,1,0,0,1,0,0,2,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,1,1,0,0,1,0,0,0,0,0,1,2,0,0,1,0,0,0,0,1,1,1,0,2,0,1,2,0,0,1,2,1,1,0,1,1,1,0,0,0,2,1,0,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,2,0,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,1,0,0,0,1,1,2,0,2,1,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,1,2,1,1,0,1,2,0,1,1,0,0,1,1,0,1,1,0,0,0,2,0,0,1,2,0,2,0,1,1,0,0,0,0,0,1,1,2,0,1,1,0,1,0,0,0,0,2,1,0,0,0,1,1,0,1,0,2,0,1,2,0,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,2,1,0,1,2,0,0,0,0,0,2,0,1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,2,0,1,2,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,2,2,1,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,1,1,1,0,1,0,0,1,2,1,1,0,1,0,1,1,0,2,0,2,0,1,2,0,1,1,0,1,2,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,2,1,0,2,1,0,0,0,0,2,1,2,1,1,1,0,0,0,1,1,0,0,0,2,1,1,0,2,0,0,1,0,0,0,0,2,2,0,1,0,1,0,0,0,1,0,0,0,0,0,0,2,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,2,0,1,1,0,0,1,1,2,2,1,2,0,2,1,1,0,0,1,1,0,1,0,1,0,1,0,0,2,1,0,1,0,1,0,1,2,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,0,1,1,0,2,2,1,0,1,0,0,0,0,0,1,1,1,0,2,0,1,0,0,1,0,2,1,1,2,2,0,1,0,1,0,2,1,0,0,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,1,1,2,2,0,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,2,1,0,1,0,1,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,2,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,2,0,0,2,0,1,1,0,1,2,0,0,1,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0