"N0","N1","N2","N3","N4","N5","N6","N7","N8","N9","N10","N11","N12","N13","N14","N15","N16","P1","P2","P3","class"
0,1,1,2,1,0,0,1,1,0,1,1,1,0,1,1,0,0,1,0,1
0,1,0,0,0,0,0,1,0,1,1,0,1,0,1,1,1,1,0,1,1
1,0,0,0,0,1,0,1,1,0,0,1,0,0,2,0,1,1,0,1,1
1,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1
1,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,1,0,1,1
2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,1,0,0,1
1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,1
1,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,1
2,0,0,0,1,0,0,0,0,0,1,1,0,0,2,0,0,0,1,0,1
2,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1
1,1,0,1,1,1,0,0,0,0,2,1,1,0,1,2,0,1,0,0,1
1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1
0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,1,2,0,1,1
0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,1
0,1,1,1,0,1,0,2,0,0,1,0,1,0,0,0,1,1,0,1,1
2,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,1,1
0,2,0,1,1,0,0,1,0,0,0,1,0,0,0,1,2,1,0,1,1
1,1,1,1,0,1,1,0,0,0,0,2,0,0,0,1,0,0,1,1,1
1,0,2,0,0,1,0,2,0,0,1,0,0,1,1,0,2,0,0,0,1
0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1
1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0,1
0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,1,0,1,0,1
0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,1
1,1,0,1,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1
0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,2,0,0,0,1
1,2,0,0,0,0,0,1,0,0,1,0,0,1,2,1,1,0,0,1,1
0,1,0,0,2,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1
0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,1,0,1,1
2,2,0,0,1,1,1,0,0,0,0,0,0,1,1,1,0,1,1,0,1
0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,1
1,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,2,0,1,1,1
2,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,1
0,0,0,0,0,0,0,2,1,0,1,1,0,0,1,1,1,1,1,0,1
2,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,1
1,2,1,1,0,0,0,2,1,1,1,2,0,0,0,0,2,1,0,0,1
2,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,1,0,0,0,1
1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,2,1,1,0,1
1,0,0,1,0,1,0,0,0,0,1,0,0,0,2,1,0,1,0,0,1
0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1
1,0,0,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1
1,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1
2,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1
1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1
1,1,0,0,1,0,0,1,0,0,1,0,1,0,2,1,0,0,0,0,1
1,1,1,0,0,0,0,0,0,0,2,2,0,1,1,0,1,1,1,0,1
2,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,2,1,1,0,1
2,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1
0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1
0,1,0,1,0,0,1,0,1,2,0,1,0,0,0,1,0,0,0,0,1
1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,2,1,1
1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,2,0,0,0,0,1
0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1
0,1,0,0,1,1,0,2,1,0,0,0,1,0,0,0,1,0,0,1,1
1,0,1,1,0,0,0,2,1,1,0,0,0,0,1,1,0,0,0,1,1
2,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,1
1,1,2,0,1,0,0,1,1,0,1,0,0,2,0,1,1,0,0,0,1
1,0,1,0,0,0,1,0,0,0,0,1,0,0,2,0,0,0,0,0,1
0,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,1
0,1,1,0,2,0,0,1,1,0,0,1,0,0,1,0,2,0,0,1,1
1,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1
0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1
2,0,0,1,0,0,0,0,1,0,1,1,0,0,2,0,0,0,0,0,1
2,0,0,0,0,0,0,1,1,0,0,0,0,0,2,1,2,1,2,1,1
1,1,1,0,2,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1
2,0,0,0,0,1,0,1,0,0,1,1,0,0,2,0,1,1,0,1,1
0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,2,0,0,0,1
2,2,0,0,0,0,0,1,0,0,1,0,1,0,1,0,2,1,0,1,1
1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1
1,1,1,0,2,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1
0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,2,0,0,0,1
2,2,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1
0,1,0,1,0,0,0,1,1,0,1,2,0,0,1,1,1,0,1,0,1
1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,1,1,1
0,1,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,1,1,1
1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1
0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,2,0,0,0,1
1,0,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,1
1,0,0,1,1,0,1,2,0,1,0,0,1,0,0,1,1,0,0,1,1
1,1,1,0,0,0,0,2,0,0,1,0,0,0,1,0,2,0,1,0,1
2,0,0,0,1,0,0,1,0,1,1,2,0,0,1,1,2,0,1,1,1
1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1
0,2,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1
2,1,0,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,2,1
0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1
2,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,1
1,0,1,0,0,0,0,0,0,1,0,1,0,0,2,1,1,1,0,0,1
2,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1
0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,1
1,0,0,0,0,0,1,0,0,0,0,0,2,1,1,0,1,0,1,1,1
2,1,1,1,0,1,1,2,0,0,0,0,0,0,0,0,1,1,1,0,1
2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1
1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,2,1,0,2,1,1
0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,1,0,1
1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,1
1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,1
2,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,1
2,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,1,0,1,0,1
0,1,1,1,0,0,0,0,0,1,1,2,0,0,1,0,0,1,0,0,1
0,1,0,0,1,0,1,1,1,1,0,2,1,0,0,0,1,0,0,0,1
2,0,1,0,1,0,1,2,0,0,1,0,0,0,1,2,1,0,0,0,1
1,0,0,1,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,0,1
1,1,1,0,1,0,1,2,1,0,2,0,0,1,1,1,0,1,0,0,1
0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1,2,1,0,0,1
1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1
0,1,1,0,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,1
1,1,0,0,0,1,0,0,0,0,2,1,1,0,1,1,0,0,0,0,1
1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1
1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,0,1
1,0,2,0,0,0,0,2,0,0,0,1,0,0,0,1,1,1,0,0,1
2,1,0,1,1,0,0,2,0,1,0,1,0,1,0,0,0,0,0,0,1
1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,2,0,1,0,1
2,1,0,0,0,0,0,1,1,1,0,0,0,0,1,1,1,0,1,1,1
0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1
0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,1,1,1
0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1
2,0,0,0,0,0,1,2,0,0,0,1,0,1,0,1,0,0,0,2,1
1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,2,0,0,0,1
1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,1
2,0,0,0,0,0,0,1,0,0,1,1,0,0,2,1,0,1,0,0,1
1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,2,0,1,1,1
2,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,1
1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1
2,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1
2,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1
1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1
0,1,0,1,0,1,0,2,1,0,0,1,0,0,1,0,0,0,0,0,1
0,1,0,1,1,0,0,1,0,0,1,2,0,0,0,1,0,0,1,1,1
2,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,1
0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,1
2,1,0,1,1,0,0,1,0,1,2,2,1,1,0,0,0,0,2,1,1
2,0,0,0,2,0,0,0,0,0,1,0,0,0,2,1,1,0,1,0,1
1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1
1,1,1,0,1,1,0,1,1,0,0,2,0,0,1,1,2,0,0,0,1
1,0,1,0,0,0,0,0,2,0,0,0,0,1,1,1,1,1,1,0,1
0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1
0,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,1,0,1,1
1,2,1,0,0,1,0,1,0,0,0,0,0,1,0,2,1,1,0,1,1
2,1,1,0,1,1,0,1,0,1,1,1,0,0,1,1,1,1,0,0,1
1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,2,2,0,0,0,1
0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1
0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,1,1,0,1
1,1,0,0,0,0,0,0,0,0,1,1,0,0,2,1,2,1,1,0,1
2,2,1,0,1,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,1
0,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1
1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,2,0,1
2,1,0,0,1,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,1
1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,1
0,2,1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,1,0,1,1
1,1,1,0,1,0,0,1,0,2,1,1,0,0,0,0,2,0,0,0,1
1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,1
1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1
1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,1
2,1,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,1,0,1,1
1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,1
0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,2,0,1,1,0,1
1,1,1,1,0,1,0,2,1,0,0,1,0,0,0,0,2,0,1,1,1
1,2,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,1
1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1
0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,2,0,2,0,1
1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1
1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,1,0,1
0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,2,0,1
1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,1,1
0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,2,1,0,1,1,1
0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1
2,1,0,0,0,0,0,2,0,0,0,1,1,0,0,0,1,0,0,0,1
2,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,1,0,1,1,1
0,0,0,0,1,1,0,1,0,1,1,1,0,0,2,0,2,0,1,1,1
2,1,0,0,1,0,0,0,0,0,2,1,0,0,1,0,0,0,1,1,1
1,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,0,1
0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,1,2,1,0,1
2,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,1
0,0,0,1,1,1,0,1,0,0,0,1,0,0,2,1,1,1,0,1,1
1,0,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,1,1,1
1,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,1
2,1,1,1,1,0,0,0,0,0,0,0,1,0,1,1,2,1,0,1,1
1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1
0,0,1,0,0,0,1,0,0,0,1,1,0,0,2,1,0,0,1,1,1
1,0,1,1,0,0,0,1,0,2,0,0,0,0,1,1,1,0,1,1,1
1,1,0,0,1,0,1,2,0,0,1,0,0,0,0,1,2,0,0,0,1
0,1,0,0,1,0,1,2,0,1,0,0,0,0,1,0,0,0,1,0,1
2,0,1,0,1,0,0,0,0,0,1,0,1,0,2,0,1,0,0,1,1
0,2,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1
1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1
1,1,1,0,0,1,2,1,0,0,0,0,0,0,0,0,1,1,0,0,1
0,2,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,1,0,1
0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,0,1,2,1
0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,0,0,1,1,1
2,1,1,0,0,0,0,2,0,0,1,0,0,0,2,1,1,0,0,0,1
1,0,0,0,1,0,1,1,0,0,2,0,1,1,0,0,1,0,0,0,1
0,1,0,0,0,0,0,0,1,0,2,1,0,0,1,1,1,0,0,1,1
2,0,1,0,1,0,0,1,0,1,2,0,0,0,1,0,0,1,0,1,1
2,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1
1,0,0,0,1,1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,1
0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1
0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,2,0,0,1
0,1,2,0,0,0,0,1,0,0,1,0,0,0,0,2,0,1,1,0,1
1,1,0,0,2,1,0,1,1,0,1,0,0,0,1,1,2,0,0,0,1
1,1,0,0,1,0,0,2,1,1,0,0,1,0,2,1,2,1,2,0,1
1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1
1,1,1,0,0,0,0,1,0,1,1,1,0,0,1,1,1,2,0,0,1
0,1,0,0,0,0,0,2,1,0,0,0,0,0,1,2,1,1,1,0,1
2,0,0,0,2,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1
1,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1
1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,2,0,0,0,1
1,0,0,0,2,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1
1,2,1,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,1,1
1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1
1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1
2,2,0,0,1,0,0,0,0,1,1,1,1,1,1,0,1,1,0,1,1
1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,1
0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,1,1,2,0,1,1
2,1,0,0,1,0,0,0,0,0,0,0,0,0,1,2,1,1,1,0,1
0,1,1,0,0,0,0,2,0,0,2,0,0,0,1,1,1,0,1,0,1
0,1,0,2,0,0,0,0,0,0,0,0,0,0,2,1,1,0,2,0,1
1,1,1,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,1,1,1
1,1,0,0,0,0,0,1,0,1,2,0,0,0,2,1,1,0,0,0,1
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1
1,0,0,0,0,1,1,1,0,0,1,0,0,0,2,1,2,0,0,0,1
2,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,2,1,2,1,1
1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,1
1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1
1,2,2,0,0,1,0,2,0,1,0,0,0,0,2,0,2,1,0,0,1
0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1
1,0,1,1,0,0,0,1,1,0,0,2,0,0,0,1,2,1,0,1,1
1,2,1,0,0,0,2,2,0,0,0,0,0,0,1,0,0,0,1,0,1
1,1,0,0,1,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,1
0,1,1,1,0,0,0,1,0,0,0,1,1,0,1,0,2,1,0,0,1
1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1
2,1,1,0,0,0,0,2,0,0,0,1,0,0,2,1,1,0,0,0,1
2,0,0,0,1,0,1,0,1,0,1,0,0,0,2,1,0,0,0,0,1
1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1,1,1
1,0,2,1,2,0,0,0,0,0,1,1,0,0,1,0,0,1,0,1,1
2,0,0,0,1,0,1,0,0,1,1,1,1,0,0,1,0,1,1,0,1
1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1
0,1,2,2,1,1,0,1,0,1,0,0,1,0,1,1,1,1,1,0,1
1,1,2,0,0,0,0,1,0,0,0,0,0,0,1,1,0,2,0,1,1
1,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,2,0,0,0,1
1,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,1,1,0,2,1
2,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,1
1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,1
1,1,1,0,0,0,0,2,1,0,1,1,0,0,1,1,0,1,0,1,1
0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,1,1
1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1
1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1
1,0,1,1,0,0,0,2,0,0,0,0,0,0,2,0,2,2,0,0,1
0,1,1,1,0,0,0,2,0,2,1,2,0,0,0,2,1,0,1,1,1
2,2,1,0,0,1,0,2,0,1,1,1,0,0,0,0,1,1,1,0,1
0,0,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1
1,2,1,0,2,1,0,2,0,0,0,1,0,0,0,1,0,0,1,0,1
1,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1
1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1
0,1,0,0,0,0,0,0,1,2,0,0,0,0,1,0,1,0,0,1,1
1,1,0,1,1,0,0,1,0,0,1,1,1,1,1,1,2,0,1,0,1
1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0,1
0,1,2,0,0,0,0,1,1,0,2,0,0,0,0,0,0,0,1,1,1
1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,1,1,1
1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,1,0,1
1,0,0,0,0,0,0,1,1,0,0,0,0,0,2,1,1,2,1,0,1
1,0,1,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,1
2,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1
0,0,1,0,0,0,0,0,1,1,2,0,0,1,0,1,1,0,0,0,1
1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,1
1,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1
0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,1,1,1,0,0,1
1,1,0,0,2,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,1
1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1
1,0,2,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1
1,0,1,0,0,0,0,2,0,0,0,1,0,0,1,0,1,1,0,1,1
0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1
1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,1
0,0,1,0,1,0,0,0,1,0,2,0,0,0,0,1,0,0,1,0,1
2,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1
1,0,1,0,0,0,0,2,1,1,0,0,0,0,0,0,2,0,0,1,1
0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,1,0,1,0,1
0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,1
0,0,0,0,1,0,0,2,0,0,0,0,0,0,1,0,1,0,2,0,1
2,2,0,1,0,0,1,1,0,0,0,2,0,0,1,0,0,0,1,1,1
0,0,0,0,1,0,1,2,1,0,0,0,0,0,0,0,0,1,0,1,1
1,0,1,1,2,0,1,1,1,0,0,0,1,0,1,1,2,1,1,0,1
1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,1,1
1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,2,2,0,1,1
1,0,0,0,0,0,1,0,1,0,2,0,0,0,0,2,0,0,0,0,1
1,0,1,0,0,1,0,1,2,1,1,0,0,0,1,0,1,1,0,0,1
0,1,0,1,1,0,1,0,1,0,2,1,0,0,1,1,0,1,0,0,1
2,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,1
1,0,1,0,2,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1
0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1
0,0,1,0,1,0,0,0,1,0,0,1,0,0,2,1,1,0,1,1,1
2,1,0,1,0,2,0,2,0,0,0,0,0,0,1,0,1,0,0,0,1
2,0,0,0,0,0,0,0,2,0,0,0,0,0,2,1,0,1,0,1,1
2,0,1,0,0,0,0,1,2,0,1,1,0,0,0,1,1,1,0,1,1
1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,1,1
2,1,1,0,0,0,0,1,0,2,0,0,0,0,1,1,1,0,0,0,1
1,1,0,0,0,0,0,2,1,0,0,1,0,0,1,1,1,1,0,0,1
0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1
1,0,1,1,0,0,0,2,1,0,1,0,0,0,0,0,1,0,1,0,1
1,2,0,0,0,0,0,0,2,0,2,0,0,0,1,2,1,0,0,1,1
1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,2,1,2,2,1
0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,2,0,1,0,0,1
2,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1
0,0,2,0,1,0,1,0,0,0,0,0,0,0,1,1,2,0,1,1,1
1,1,0,0,0,0,0,0,0,1,1,0,1,0,2,0,1,0,0,0,1
0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1
1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,2,1
1,1,1,2,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0,1
1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,1,0,1
0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,2,1,0,0,1
1,0,0,1,1,0,0,2,0,0,1,1,0,1,1,1,1,1,1,0,1
2,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0,1
2,1,0,0,2,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1
1,0,0,1,0,1,1,2,0,0,1,1,0,1,1,0,2,0,2,0,1
1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,2,0,0,0,0,1
1,0,1,0,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,1
0,1,2,1,1,0,1,1,0,0,1,0,0,0,2,1,2,0,1,0,1
0,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,1,1
0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,1,1,1,0,1,1
0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,1,0,1,1
2,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,2,0,0,1,1
2,0,0,1,1,0,0,1,1,0,1,0,1,0,2,0,2,1,0,1,1
2,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,1
1,1,0,0,1,0,0,2,0,0,0,0,0,0,1,2,1,0,0,0,1
0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,1,1
1,1,0,0,1,1,0,0,1,1,2,0,0,0,1,0,2,0,1,1,1
1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1
2,1,1,0,0,0,0,2,1,1,0,2,0,0,0,0,0,0,2,1,1
0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1
1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,2,1
1,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,1,1,1,0,1
2,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,1
1,1,0,1,0,1,1,1,0,0,2,2,0,0,1,0,1,0,0,0,1
1,1,1,1,1,0,0,0,1,1,0,1,0,0,2,1,1,0,1,0,1
1,0,1,0,0,1,0,1,0,1,2,1,0,0,1,1,0,0,0,1,1
1,1,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1
0,0,0,2,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1
1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1
1,0,2,0,0,0,0,0,0,0,1,0,0,1,2,0,1,1,0,0,1
1,1,1,0,0,1,0,2,0,0,0,0,0,0,2,0,0,0,0,1,1
2,0,1,0,1,0,0,1,0,0,0,0,1,0,1,1,2,1,0,1,1
1,0,0,1,0,0,0,2,0,0,0,0,0,0,1,1,1,0,0,0,1
0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,1,1
1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,1
0,0,0,1,0,0,0,2,0,0,1,0,1,0,2,0,1,0,1,2,1
1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1
0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1
1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1
0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,1
1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1
1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,2,0,0,0,1
0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0,1,1
1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1
0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1
0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,1,0,1
2,1,0,0,0,0,0,1,1,0,1,0,0,0,1,2,0,0,0,0,1
0,0,0,0,2,0,0,1,0,1,1,1,0,0,1,2,0,0,1,0,1
2,1,1,0,0,2,0,1,0,0,0,1,0,0,0,0,2,1,1,0,1
1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,2,0,1,0,1
1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1
1,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,1
2,0,0,1,1,1,0,1,0,0,1,0,0,0,2,0,2,0,0,0,1
0,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0,1,1,1
1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1
1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,1,1,0,0,1
0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,2,1,0,1
0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,1,1,0,1,1,1
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1
0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,1,0,0,1,0,1
1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,2,1,0,1,1,1
1,2,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,1,0,0,1
0,0,2,0,0,1,0,2,0,0,1,1,0,0,0,1,1,0,0,1,1
2,0,1,0,1,0,0,2,0,0,1,0,0,0,0,1,1,0,0,0,1
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1
0,0,0,1,1,0,0,1,1,1,2,0,0,0,1,0,0,0,0,0,1
0,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,1
0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1
2,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,2,1,0,1,1
2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1
0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1
1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,1
0,1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,1,1,1
0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,2,1,0,1,1,1
0,1,1,1,1,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0,1
0,0,2,0,0,0,1,0,0,0,1,1,0,0,0,0,2,1,1,0,1
1,1,0,1,0,0,1,2,0,1,0,0,0,0,1,1,1,0,0,1,1
1,1,0,0,0,0,0,1,0,0,2,1,0,0,2,0,0,0,1,1,1
1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1
0,2,0,0,1,0,2,0,1,0,1,0,0,0,0,0,0,1,0,1,1
1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,1
2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,1
1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,1,0,1,1
0,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,1,1
2,1,0,0,2,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1
1,1,0,0,1,0,0,2,1,0,1,0,0,1,0,1,1,0,1,0,1
0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1
1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,0,1
1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1
1,0,0,0,0,0,1,0,2,0,0,0,1,1,0,0,1,0,1,0,1
1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,1
0,0,0,0,1,0,0,0,1,1,2,0,0,0,0,0,1,0,1,1,1
0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1
1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1
1,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0,1,1
1,0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,1,1,1,0,1
2,1,1,0,1,0,0,0,0,2,1,0,1,0,0,0,0,1,0,1,1
0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1
1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1
1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,2,0,0,0,1
1,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1
1,1,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,1
1,1,1,0,1,0,0,1,0,0,1,1,0,0,2,1,2,0,0,0,1
0,2,0,1,0,0,0,2,1,1,1,1,1,0,2,1,1,0,0,0,1
0,1,0,0,0,0,0,2,0,0,1,0,0,0,0,2,1,0,0,0,1
2,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,2,0,1
2,0,0,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0,2,0,1
0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,2,0,1,1,1
1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,1
0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,1,1,0,1
0,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,1,1
0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,1,0,0,0,1
1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,1,2,2,1,0,1
0,1,2,0,0,0,0,0,0,0,0,1,0,0,1,2,1,1,1,0,1
1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1
1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,1,2,0,1,1
0,0,2,1,0,0,0,0,0,0,1,0,1,0,0,2,1,0,1,0,1
1,1,0,0,0,0,0,2,0,0,1,1,0,0,0,1,1,0,0,0,1
1,1,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0,0,0,0,1
1,0,0,1,1,0,0,0,0,2,1,1,0,0,1,1,1,0,0,0,1
0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,1
1,1,0,1,2,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1
2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1
1,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,2,0,1,1,1
1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,1
0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,2,0,0,0,1
2,1,1,0,1,0,0,2,0,0,1,0,0,0,1,0,1,1,1,0,1
2,1,2,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1
2,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,2,1,2,0,1
0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1
1,2,2,1,1,0,0,2,0,0,2,0,0,0,0,1,1,0,0,0,1
0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,1,1
2,0,2,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1
1,2,0,0,0,1,0,1,0,0,0,0,1,0,2,0,1,1,0,0,1
0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,1,1,1
1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1
1,0,2,0,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1
1,1,0,0,0,0,0,1,1,0,0,2,0,0,0,1,0,1,0,1,1
1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1
0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1
1,1,0,0,0,0,0,1,2,0,0,0,0,0,2,2,1,0,0,0,1
0,2,0,0,2,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,1
1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,1,1
1,1,0,0,0,0,0,2,0,0,2,1,0,0,1,0,1,0,0,0,1
0,2,0,1,1,0,0,0,0,1,0,0,0,0,2,0,1,0,0,1,1
1,1,0,0,1,0,0,1,1,0,0,1,0,0,0,2,0,0,0,0,1
2,0,1,1,0,0,0,0,0,1,0,1,0,0,0,2,1,0,2,0,1
1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,2,1
1,0,1,0,0,0,2,1,1,0,1,0,0,0,0,0,0,1,0,0,1
1,0,0,0,1,0,0,0,2,1,0,0,0,0,2,1,1,1,2,1,1
1,0,1,0,2,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1
2,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,1,1
2,1,0,0,1,0,0,0,1,0,0,0,0,0,0,2,2,0,1,0,1
2,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1
1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,1,1,0,1
1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,1
1,1,1,0,2,1,0,2,0,0,0,0,0,0,2,0,1,0,1,1,1
1,1,0,0,0,0,0,2,0,0,0,0,0,0,1,1,1,1,1,0,1
0,1,0,0,0,1,0,0,0,2,1,0,0,0,1,0,2,2,1,0,1
0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1
0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0,2,1,0,1,1
1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1
1,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1
2,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1
0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,2,2,0,1,0,1
1,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,1,0,1
1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,1
2,0,0,1,0,0,0,0,1,0,0,0,0,1,2,2,1,1,0,0,1
1,0,0,0,0,1,0,1,0,0,1,1,0,0,1,2,1,0,0,0,1
2,0,2,0,1,0,1,0,1,1,0,1,0,0,2,0,1,0,0,0,1
1,0,0,0,1,0,0,2,1,0,1,0,0,0,0,0,0,0,1,0,1
1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,1
1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,2,1,0,1
1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1
0,0,0,0,1,0,0,0,1,0,1,2,0,0,0,1,1,0,1,0,1
1,0,0,0,0,0,2,1,0,0,1,0,0,0,1,1,0,1,1,0,1
0,1,1,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,1
1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,2,1,1
1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,0,1
1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,1,1
1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,2,1
0,2,1,1,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1
1,0,1,0,2,1,0,1,1,0,1,0,0,0,1,2,0,1,1,0,1
2,2,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,1,1,1
1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1
2,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,2,0,1,0,1
0,0,1,0,0,0,0,1,1,0,2,1,0,0,0,1,2,1,0,1,1
0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1
1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1
1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1
1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1
0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,2,1,0,0,0,1
2,1,0,0,1,0,0,0,1,0,1,0,0,0,2,2,0,0,0,0,1
2,2,1,1,1,1,0,2,1,0,0,0,1,0,0,2,2,0,1,1,1
1,2,1,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,1
1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,1
2,1,0,0,0,0,0,1,0,1,0,0,0,0,0,2,1,1,0,1,1
0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,1,1,1,0,1,1
0,1,1,1,1,0,0,1,0,2,0,0,0,0,0,2,1,0,1,0,1
0,2,0,1,0,1,0,0,0,0,1,2,0,0,0,0,0,1,1,0,1
1,2,0,0,0,1,0,0,0,0,2,0,0,0,0,2,2,0,1,1,1
0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,2,1
1,1,1,0,0,0,0,2,0,1,1,1,0,0,0,1,2,0,1,0,1
1,1,0,0,1,0,1,1,0,0,1,1,2,0,2,0,0,0,0,0,1
1,1,1,0,0,0,1,1,2,0,1,1,0,1,0,0,1,1,2,0,1
0,0,1,0,1,0,0,1,0,1,2,0,0,0,1,1,1,0,0,0,1
1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1
1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1
1,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,1,0,1
0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,1,0,0,0,1,1
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1
1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1
2,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1
1,1,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1
1,0,1,0,0,0,0,2,0,0,0,0,0,0,1,2,1,0,0,0,1
1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,1,1
1,2,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,2,0,1,1
1,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,1
2,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,2,1
0,1,0,0,1,0,0,2,0,1,1,1,0,0,0,1,1,0,0,1,1
2,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,1
1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,1,0,1
1,1,0,0,0,0,0,1,1,0,2,0,0,0,2,0,0,0,2,1,1
1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1
1,0,0,0,0,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1
1,1,1,0,2,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1
1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,1
1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,2,1,0,0,1
1,2,0,0,0,0,0,1,0,1,0,0,0,0,0,1,2,0,0,2,1
2,2,1,0,1,0,0,0,1,0,1,0,0,0,0,2,1,0,0,0,1
1,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,1
1,1,1,0,1,0,0,0,1,1,0,0,0,0,2,1,0,0,1,0,1
0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,2,1,0,2,0,1
1,1,2,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1
2,0,0,0,0,0,0,2,1,0,1,1,0,0,1,0,0,0,0,0,1
1,0,0,0,1,0,0,1,1,0,0,0,0,0,2,0,2,0,1,0,1
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1
1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1
0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1
0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1
0,0,0,1,2,1,0,1,0,1,2,1,0,1,0,2,1,0,0,1,1
1,1,0,0,2,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1
0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1
2,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,1,1,1
0,1,0,0,0,0,0,0,1,0,1,1,0,0,2,0,1,0,0,0,1
0,2,0,1,0,0,0,1,0,0,2,1,0,0,1,0,1,0,0,0,1
2,1,1,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1
1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1
2,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,2,2,1,2,1
1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,1,1
1,1,0,1,0,0,0,2,1,0,0,1,0,0,0,1,2,0,0,0,1
1,0,0,0,1,0,0,0,0,1,1,1,0,1,0,1,2,0,0,0,1
0,2,0,0,0,0,0,0,0,1,1,0,1,0,2,0,0,0,0,0,1
0,2,1,0,0,0,1,1,0,0,0,0,0,0,1,1,1,2,0,0,1
1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1
0,0,0,0,1,1,0,2,0,0,1,0,1,1,0,1,1,0,0,0,1
1,0,0,0,0,0,1,0,0,0,2,1,0,0,0,1,0,0,0,0,1
2,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,1
2,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,1,1
0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,1,1,1,0,1
1,0,1,0,0,1,0,2,1,0,0,1,0,0,0,1,2,0,0,1,1
0,0,0,0,1,1,0,2,1,0,1,0,0,1,1,1,1,1,0,1,1
2,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1
2,1,1,0,0,0,0,2,1,0,0,0,1,0,2,0,0,2,0,1,1
2,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,2,1,1
0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1
2,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1
0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,1,0,1
0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1
1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1
1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,2,1
1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1
1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1
1,2,0,0,1,0,0,2,0,0,2,1,0,0,1,2,1,0,0,1,1
1,1,1,0,0,0,0,2,0,0,0,2,0,1,1,1,1,0,1,1,1
1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1,1,1
0,0,1,1,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,1,1
1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,1,1
0,1,1,0,0,0,0,1,1,0,1,1,0,0,1,1,1,0,0,0,1
0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,1,2,0,2,0,1
1,1,1,0,0,0,0,0,1,1,2,1,0,0,0,1,0,0,1,0,1
2,2,0,0,0,0,0,1,0,1,0,1,0,1,1,2,2,0,0,1,1
1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1
2,1,0,1,1,1,1,2,0,0,1,1,0,0,1,0,0,0,0,2,1
1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1
1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,1
1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,2,0,0,1
2,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,2,1
2,0,1,0,1,0,0,1,2,0,2,1,0,0,1,0,1,0,0,0,1
1,0,0,2,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1
2,1,0,0,0,0,0,2,0,0,2,0,0,0,1,1,1,2,0,1,1
1,2,1,1,0,0,0,2,1,0,1,0,0,1,1,2,1,1,0,0,1
0,1,0,1,0,1,0,2,0,0,1,0,0,0,1,1,2,0,0,1,1
1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1
1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,1
1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1
1,1,2,0,1,0,0,2,0,0,1,0,0,0,1,0,1,1,1,0,1
1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,2,1,0,1,1
2,1,2,0,1,0,0,1,1,0,0,0,0,0,2,0,1,0,0,2,1
1,2,1,0,0,0,0,1,0,0,0,0,0,0,1,1,1,2,0,0,1
1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,1
1,1,0,1,2,0,0,0,1,0,0,1,0,1,0,0,2,0,0,1,1
2,1,0,0,1,1,0,1,0,0,1,0,0,0,0,2,1,1,0,2,1
0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,2,0,1,0,1
0,1,1,0,2,0,0,2,0,1,1,0,0,0,0,0,1,1,0,0,1
1,1,1,0,2,0,0,0,1,0,0,0,1,0,2,0,2,0,0,0,1
0,1,0,0,0,0,0,2,1,0,0,0,0,0,1,2,0,0,0,1,1
1,2,1,1,1,0,1,1,0,1,0,0,0,0,1,1,2,2,0,1,1
2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1
1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1
1,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1
1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1
1,1,0,0,1,0,0,0,0,1,0,2,0,1,1,2,1,0,0,0,1
0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,2,1
1,2,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,1
2,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,1
1,0,0,0,1,1,0,1,0,0,1,1,1,0,1,0,1,1,0,0,1
1,0,0,2,1,1,0,0,1,0,2,1,0,0,1,0,0,2,0,0,1
0,0,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,1,0,1
1,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,2,1,1,0,1
1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,2,1,1,1,0,1
0,0,0,1,0,0,0,2,0,0,1,0,0,0,1,1,0,1,0,1,1
1,0,0,0,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0,1
1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,1
0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1
1,1,0,2,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1
0,1,1,1,0,0,1,1,0,0,0,0,0,0,2,0,1,2,1,2,1
0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,1
2,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,1,1,0,0,1
1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1
1,2,0,0,0,0,0,1,0,0,1,0,0,0,1,1,1,0,0,0,1
1,2,1,0,1,0,0,1,0,0,0,1,0,0,0,2,1,0,1,0,1
0,2,2,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,2,1
2,1,1,0,2,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,1
0,0,0,2,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,1,1
1,1,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1
0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,1,1
1,2,1,0,1,0,0,1,1,0,2,0,0,0,2,1,1,0,0,0,1
2,2,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1
0,0,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1
1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,1
2,1,0,1,1,0,0,2,0,1,0,1,1,0,0,1,0,0,2,0,1
2,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1
1,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,0,1,1
0,0,0,0,2,0,1,0,1,0,0,0,0,0,1,0,1,2,0,1,1
1,0,1,0,1,1,0,0,0,1,2,0,0,0,2,1,1,0,1,1,1
1,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1
0,2,1,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,1,1,1
1,0,0,0,1,0,0,2,0,0,0,1,0,0,1,0,0,0,1,0,1
0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1
1,1,0,0,2,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1
1,1,0,1,0,0,0,0,1,1,0,0,0,1,1,1,1,0,0,1,1
1,1,0,0,0,0,0,1,0,0,1,0,0,0,2,0,1,0,1,0,1
2,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,2,0,1,1
1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1
2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,2,0,1
0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1
0,0,0,0,2,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,1
0,1,1,0,0,0,0,1,0,1,2,1,0,0,2,0,2,2,0,1,1
1,0,0,0,0,0,0,2,1,1,1,0,0,0,0,1,1,0,0,1,1
1,0,1,0,1,1,0,2,0,1,0,1,0,0,0,0,0,0,1,1,1
2,1,0,2,1,0,0,0,1,0,0,0,0,0,0,2,1,1,1,0,1
2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,1
0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1
1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,1
1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,2,1
1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,2,0,1
2,1,1,0,1,0,0,0,2,0,0,1,0,1,1,0,2,0,0,0,1
1,0,1,1,1,2,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1
2,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,1,1
1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,1
0,2,0,1,0,0,1,1,2,0,0,2,0,0,1,0,1,1,1,0,1
2,1,0,0,0,0,1,0,1,1,0,0,0,0,2,0,0,0,0,0,1
1,0,1,1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,1,1,1
0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,1
0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1
1,0,1,0,0,0,1,0,1,1,0,0,0,0,2,1,1,2,1,0,1
1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,1
2,1,1,1,1,0,0,1,0,0,1,1,0,2,0,0,0,0,0,1,1
1,1,1,0,2,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,1
1,0,0,0,1,1,0,0,0,0,2,1,0,1,0,1,0,1,0,0,1
1,2,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,2,0,0,1
1,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1
2,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,1,0,0,1
0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,2,0,1,1
0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1
1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,2,0,0,0,1
1,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0,1
2,1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1
1,1,1,0,1,0,0,0,0,0,2,0,0,1,2,1,1,0,1,1,1
0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,2,0,1
0,2,1,0,1,2,0,0,0,0,0,0,0,0,1,1,2,1,1,0,1
0,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,1,1,1
1,1,0,0,0,1,0,1,0,1,1,0,2,0,1,0,1,0,1,0,1
0,1,0,0,2,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1
2,2,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,1,1,1
1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,2,0,1,1,1
1,1,0,0,0,0,0,2,0,1,1,0,0,0,1,1,0,0,0,1,1
2,1,1,0,1,0,0,1,1,0,2,2,0,0,1,1,0,0,0,0,1
2,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1
1,0,0,1,1,0,0,2,1,0,2,0,0,0,0,1,1,0,0,0,1
2,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1
1,1,2,0,0,0,1,1,0,0,0,0,0,1,1,1,0,1,0,1,1
1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,2,1,0,0,0,1
1,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,1,0,1,1
1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,1
1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1
0,1,1,0,0,0,0,1,0,0,2,0,0,0,0,1,1,0,0,1,1
2,1,1,0,1,0,0,1,0,0,1,0,0,0,2,1,0,0,0,0,1
0,1,0,0,1,2,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1
0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,1,1
2,2,1,2,1,1,0,1,0,0,1,0,1,0,0,0,0,1,0,1,1
1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,1,2,0,0,1,1
2,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1
0,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0,2,1,0,1
0,0,0,0,1,0,1,1,1,0,1,1,0,0,1,1,1,2,0,1,1
1,0,0,0,2,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1
1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,2,0,0,0,1
0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1
0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,2,1
0,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,2,0,0,0,1
2,0,1,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,1
0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0,1,1
0,0,0,0,0,0,1,2,0,0,0,1,0,0,1,0,1,1,0,0,1
2,0,0,0,2,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1
0,1,1,0,0,0,0,0,1,0,2,1,0,0,2,1,1,0,0,0,1
1,1,1,1,0,0,0,2,1,1,1,0,0,0,0,1,1,0,0,1,1
1,1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1
1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1
1,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,1
1,1,0,0,0,0,1,0,0,1,1,0,0,0,2,0,0,0,0,1,1
1,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1
0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1
2,0,0,0,1,0,0,2,1,2,0,0,0,0,0,0,1,1,0,1,1
0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,1,0,1
0,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,1,0,1
0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1
2,0,0,0,1,0,0,0,0,0,1,0,0,0,1,2,0,1,1,0,1
2,1,0,0,0,2,0,0,0,0,0,0,0,0,2,1,0,0,1,1,1
2,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1
0,1,0,0,2,0,0,1,0,0,0,0,0,0,1,2,0,0,1,1,1
0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1
1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,1
2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1
1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1
1,1,0,1,0,0,0,1,0,1,0,0,1,0,0,1,1,1,0,0,1
1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0,2,0,2,0,1
2,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,1,2,2,1
1,1,2,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1
0,2,0,0,0,0,2,0,0,0,1,0,1,0,0,1,0,1,0,1,1
0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,1
2,1,1,0,0,1,0,0,0,1,0,2,0,0,2,1,0,2,2,0,1
2,1,1,1,1,0,0,1,1,0,1,0,0,0,0,2,0,0,0,0,1
1,1,1,0,0,0,0,1,1,0,1,0,0,0,2,0,1,1,0,1,1
1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,2,0,0,0,1
1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1
1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1
2,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,1
1,0,0,0,1,0,0,2,0,0,1,0,0,1,2,0,1,0,0,0,1
0,1,0,0,1,0,0,1,1,1,0,0,0,0,1,1,1,0,1,1,1
1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,2,1,0,0,1
2,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1
1,1,1,0,0,0,0,2,1,0,0,1,0,0,0,1,2,0,0,0,1
1,2,0,0,1,0,0,2,1,0,2,1,0,0,0,0,1,0,2,0,1
0,0,0,1,1,0,0,1,2,0,0,0,0,0,0,0,1,0,1,0,1
0,2,0,1,1,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1
2,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1
2,1,1,0,1,1,0,1,0,0,1,0,0,1,1,2,0,0,0,1,1
1,2,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1
1,1,1,0,0,0,0,1,0,1,0,0,0,0,2,2,0,1,0,1,1
0,0,0,1,1,2,0,1,0,0,1,0,0,0,1,1,0,0,1,0,1
1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0,1,1
2,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,2,1,0,1,1
1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0,1
1,0,1,0,2,0,2,1,1,0,1,0,0,0,1,1,1,0,0,0,1
0,1,1,0,1,0,0,0,1,1,0,1,0,1,0,1,0,1,1,2,1
1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,1
0,1,0,0,2,0,0,1,0,0,2,0,0,0,0,0,1,1,1,0,1
1,0,1,0,1,0,0,1,0,0,1,0,0,0,2,1,2,0,1,0,1
1,0,1,0,1,1,0,1,0,0,0,1,0,0,1,1,2,0,1,2,1
1,0,1,0,0,1,1,1,0,0,1,0,0,0,2,1,1,0,1,2,1
1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,1
0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1
0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1
2,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,2,1,1,0,1
0,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,2,1
0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1
1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,1
2,0,1,1,1,0,0,2,1,0,0,0,0,1,2,0,0,0,0,0,1
2,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,1
1,0,0,0,1,1,1,2,0,0,0,0,0,0,0,1,1,0,0,1,0
1,0,1,1,2,0,0,2,0,1,0,0,0,0,1,0,0,0,0,1,0
2,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,1,0
2,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,2,0
2,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0
2,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,0
0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,1,0,0,1,2,0
1,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,2,0,2,0,0
0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0
1,1,0,0,0,1,0,0,1,0,2,0,0,0,1,0,0,0,0,2,0
1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0
2,0,1,0,0,0,0,0,2,1,0,1,0,0,0,0,2,2,0,0,0
2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0
2,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0
1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0
2,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0
1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,1,0
1,0,0,0,0,0,0,2,0,0,0,1,1,0,1,0,2,2,0,0,0
2,2,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0
1,0,1,0,1,0,0,0,1,1,0,1,1,0,1,0,2,1,1,1,0
1,0,1,0,0,0,0,0,1,0,2,0,0,1,0,0,2,0,0,1,0
2,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0
1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0
1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0
2,0,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0
2,1,0,0,0,0,0,1,0,0,0,1,0,0,2,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,1,1,0
0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,1,0,0,1,0,0
2,1,0,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0
1,0,1,0,0,0,0,0,0,1,2,1,0,0,0,1,0,0,0,1,0
2,1,0,0,1,0,0,1,1,1,2,0,0,0,0,0,1,0,1,0,0
2,1,0,0,0,1,1,1,0,0,1,1,0,0,0,0,1,0,0,1,0
0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,2,0
2,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0
2,2,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0
0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0
2,1,2,1,0,0,0,1,1,1,1,0,0,0,1,1,1,1,1,1,0
1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0
2,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,1,1,1,1,0
1,1,1,0,1,0,1,1,0,1,2,1,0,1,1,0,0,0,1,0,0
2,0,0,0,1,1,1,1,0,0,1,0,0,1,1,0,2,0,0,1,0
1,1,0,1,0,0,1,1,0,0,0,0,0,0,2,0,1,2,1,1,0
1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,2,0,0,0
1,1,1,0,2,1,0,0,1,1,1,0,0,0,0,2,1,0,0,0,0
2,0,0,1,0,0,0,2,2,0,1,1,0,0,0,2,1,0,1,0,0
1,2,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0
1,0,0,0,0,2,0,0,1,0,1,0,0,0,0,0,1,1,1,1,0
1,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,2,1,1,0
1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0
2,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,2,1,1,1,0
2,1,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,1,1,0
0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,2,1,0,0,1,0
2,1,0,0,0,0,1,0,0,0,1,2,0,0,1,0,0,0,0,0,0
2,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
2,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0
1,1,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,2,0,0
2,1,1,0,1,0,0,0,0,0,0,0,1,1,0,1,1,1,0,0,0
1,1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,2,0,0,0,0
0,1,0,0,0,0,0,2,1,1,2,0,1,0,1,1,1,1,0,0,0
2,1,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0
2,0,0,0,1,0,0,1,1,0,1,1,0,0,1,1,1,1,0,0,0
0,2,1,0,1,0,0,0,0,0,0,2,0,0,0,2,1,0,1,0,0
1,0,1,0,0,1,0,2,0,0,1,0,0,0,1,0,1,0,0,1,0
2,0,0,0,1,1,1,2,1,0,1,0,0,0,0,0,1,0,0,0,0
0,0,2,1,0,2,1,0,0,1,2,2,0,0,1,0,0,1,0,0,0
2,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,2,1,0,0,0
2,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0
0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0,0
1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,2,0,1,0
1,0,0,0,0,0,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0
2,1,0,0,0,1,1,1,0,0,0,1,0,0,1,2,1,0,1,0,0
1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,1,2,0,0,0,0
1,2,1,0,1,2,0,1,0,0,1,1,1,0,0,0,2,1,1,1,0
0,1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,2,0,0,1,0
1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0
1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,2,0,0
2,0,1,1,1,2,0,0,0,1,1,0,0,0,0,0,1,2,0,0,0
1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,1,2,0
0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,1,0
0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,1,0
0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,1,1,0,1,0,0
0,1,0,1,1,1,0,2,0,0,0,0,0,0,0,0,2,0,1,0,0
1,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0
0,1,0,0,0,1,1,1,0,0,1,2,0,0,0,0,0,0,1,0,0
1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0
2,1,1,0,1,0,0,0,0,1,1,1,0,0,1,1,2,0,1,0,0
0,2,1,0,1,0,1,2,0,0,0,0,0,0,2,2,2,2,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0
0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0
1,1,0,0,0,0,0,1,0,0,1,2,0,1,0,2,1,0,1,0,0
0,0,2,0,0,1,0,1,0,0,0,0,0,0,1,0,2,0,0,1,0
0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,2,0,0,2,1,2,0,0,1,0
0,1,0,1,1,0,0,1,2,1,0,1,0,0,1,0,2,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,1,0
1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,1,0
2,0,1,0,1,0,0,0,0,0,0,0,0,1,2,1,1,1,1,1,0
1,0,0,1,1,0,1,2,0,1,1,0,0,0,1,0,0,0,1,0,0
1,1,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,1,0,0,0
0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0
1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,2,0,0,1,0
0,0,1,0,0,0,0,2,1,0,2,0,0,0,0,1,2,2,1,1,0
2,1,1,0,1,0,0,2,0,0,0,0,0,0,0,1,1,0,1,0,0
1,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,0,1,0
0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,2,1,1,1,0
1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,2,0,0
0,0,0,1,1,2,0,0,0,0,0,2,0,0,0,0,2,0,2,1,0
1,0,0,0,2,0,0,2,0,0,1,0,0,0,1,0,2,0,0,1,0
2,1,0,1,1,0,0,2,0,1,1,2,0,0,0,1,1,0,1,0,0
1,0,1,0,1,0,0,2,0,0,0,1,0,0,1,0,1,1,1,1,0
2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,2,1,0,0,0
2,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0
1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0
1,0,1,0,1,0,0,1,1,0,2,0,0,0,0,0,0,1,0,0,0
0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,1,1,0
2,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,2,0
0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,2,0
1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,1,1,1,1,0
0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,2,1,2,1,1,0
1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0
0,0,1,1,0,0,0,0,0,1,0,1,1,0,2,0,0,0,2,1,0
0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0
0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0
1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0
0,0,1,0,0,2,0,2,0,1,0,1,0,0,1,1,0,1,0,0,0
1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,2,0,1,0,0
1,2,2,1,0,0,0,2,0,1,0,1,0,0,0,1,1,0,1,0,0
1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,1,1,1,0
1,1,1,0,1,1,0,2,0,0,2,0,0,0,0,0,1,0,0,0,0
2,1,2,0,0,0,0,2,0,0,0,0,2,0,0,1,1,1,1,2,0
1,0,2,0,1,0,0,2,1,0,2,0,0,0,0,0,1,1,1,1,0
1,1,0,0,1,0,0,1,2,1,1,2,0,0,0,2,2,0,1,0,0
0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0
2,1,0,0,0,0,0,1,0,1,2,0,0,0,0,1,0,1,1,1,0
0,2,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0
2,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,1,1,0,0,0
0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0
1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,1,1,2,0,0
0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0
1,0,0,0,0,0,0,2,1,0,0,0,0,1,1,1,1,1,0,0,0
1,2,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0
2,1,2,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0
1,0,0,1,1,0,0,2,0,0,1,1,0,0,2,1,1,0,1,0,0
1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0
1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,2,1,0,1,0
0,0,1,0,0,0,0,2,0,0,1,1,0,0,1,1,0,1,2,0,0
1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0
0,2,0,0,0,0,0,0,0,0,1,0,0,0,1,1,2,1,0,0,0
1,0,1,2,0,0,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0
2,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0
1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,1,1,0,0,0
1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0
1,0,2,0,1,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0
2,0,2,0,0,0,0,1,1,1,0,0,0,0,1,1,2,0,2,0,0
1,2,0,0,0,1,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0
1,1,0,0,2,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0
0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0
1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0,2,0,0
0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0
1,0,0,0,0,1,1,0,0,0,1,0,0,0,2,0,0,0,0,1,0
0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,2,0,2,1,0
0,2,0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0
1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,2,1,2,0,0
1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,2,0,1,1,0
0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0
1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0
0,0,0,0,1,0,0,1,0,1,1,2,0,0,1,1,1,1,0,0,0
1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,2,1,0,0,0
0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0
1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,2,1,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0
0,0,1,0,2,0,0,1,1,0,1,0,0,0,1,0,2,0,0,0,0
1,0,0,1,1,0,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0
0,0,0,0,0,0,1,0,0,1,2,1,0,0,0,0,1,0,0,0,0
1,0,1,0,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0
2,0,1,0,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,0,0
2,2,0,1,0,0,0,0,0,0,0,2,0,0,0,2,1,1,0,0,0
2,2,1,0,0,1,0,2,0,1,1,1,0,1,0,1,1,0,1,0,0
0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0
1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0
1,0,1,0,0,0,1,1,2,0,0,0,0,0,1,2,0,1,1,1,0
1,0,1,1,1,0,1,1,1,1,2,0,0,0,0,1,1,0,0,0,0
1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0
1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,2,1,0,0,0
2,0,0,0,1,0,0,1,0,0,0,1,2,0,0,1,2,2,1,1,0
1,0,2,0,1,0,1,2,0,1,1,0,0,0,1,0,1,0,1,0,0
1,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0
1,2,1,0,1,1,0,0,0,0,2,0,1,0,1,0,0,2,0,0,0
0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,2,1,2,0,0,0
1,0,0,1,0,0,0,2,1,1,0,0,1,0,1,0,1,0,0,0,0
0,0,0,0,0,0,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0
0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,2,2,1,1,0
1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0
0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0
2,2,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,1,1,0
2,2,1,1,1,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0
1,1,1,0,1,0,0,0,0,0,1,1,0,0,1,1,2,0,1,0,0
1,1,0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,1,0,0
1,0,1,0,1,1,0,1,0,2,0,0,0,0,0,2,1,1,1,1,0
1,1,0,1,1,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0
2,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0
1,0,1,0,0,2,0,1,2,0,1,1,0,0,1,0,1,1,1,1,0
0,0,2,0,0,0,0,1,0,0,1,0,0,0,1,1,1,1,1,1,0
1,2,1,1,0,0,0,0,0,1,2,1,0,0,1,0,1,1,1,1,0
0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0
1,1,0,0,0,0,0,2,1,1,0,0,1,0,1,0,0,0,0,1,0
1,0,1,0,1,0,0,1,2,1,1,0,1,0,0,1,0,1,0,0,0
1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0
1,1,1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0
0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,2,1,0,0,0
0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0
2,0,1,0,1,0,0,1,0,1,0,0,0,0,2,0,1,0,0,0,0
1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0
2,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0
2,2,1,0,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0
1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0
2,1,0,0,1,0,0,2,1,0,0,0,1,1,0,0,1,0,1,0,0
2,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0
1,0,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0
1,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0
0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,2,0
1,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0
1,1,0,0,0,1,0,2,1,0,1,0,0,0,1,0,1,0,0,0,0
1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0
1,1,0,0,2,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0
0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0
1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0
0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0
1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,1,0,1,0,0
0,1,0,0,0,0,0,0,2,0,1,0,0,0,1,1,1,0,1,0,0
1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0
1,1,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0
1,0,1,0,1,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0
0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0
1,0,1,1,1,0,0,0,0,0,1,0,0,0,1,1,1,2,0,0,0
0,0,0,0,0,2,0,1,0,0,0,0,1,0,1,2,2,2,0,0,0
0,0,1,0,2,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0
2,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,2,0
1,1,0,1,0,0,0,1,0,1,1,2,0,0,2,0,1,0,0,0,0
1,0,0,0,0,0,0,1,1,1,0,2,0,0,0,1,0,0,0,1,0
1,2,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,1,1,1,0
1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0
2,2,0,0,1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,0
2,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0
1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0
2,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,1,0,0
2,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,2,1,0,0,0
2,0,1,0,2,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0
1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0
2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,1,0
0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0
1,1,1,1,0,0,0,0,1,0,1,0,0,0,1,2,1,0,0,1,0
0,1,0,1,0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0
2,0,0,0,0,0,0,2,0,0,1,0,0,0,1,2,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0
1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,1,2,1,0,0,0
1,0,0,0,0,0,0,2,1,0,1,0,0,0,0,1,1,1,0,0,0
1,1,0,0,0,0,0,2,1,0,1,0,0,0,1,1,0,1,0,0,0
2,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,2,0,0,0,0
1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,0
1,1,1,0,1,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0
1,2,0,2,0,0,0,1,1,0,1,2,0,0,2,1,1,1,2,0,0
1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0
2,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,0
2,0,0,2,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0
0,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,2,1,1,1,0,0,0,0,0,1,0
2,1,0,0,0,1,0,2,0,0,0,0,0,0,0,1,2,0,1,0,0
0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0
0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0
1,0,0,0,0,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0
0,0,0,0,0,0,0,1,0,1,0,1,1,1,1,0,2,1,0,0,0
1,1,1,1,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0
2,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,2,1,0,0,0
1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0
2,0,0,1,0,0,0,2,0,0,1,0,0,0,0,1,2,1,0,0,0
0,2,0,0,0,0,0,0,0,0,0,1,0,0,2,0,1,0,1,0,0
1,1,0,0,1,0,0,1,2,0,2,2,1,0,0,0,1,0,2,0,0
2,0,1,0,1,0,0,0,2,0,2,0,0,0,1,0,2,1,0,1,0
2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,1,1,1,0
1,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,2,0,0,0
2,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0
1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,1,2,0,0
2,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0
1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,1,0,0,0
2,2,1,0,1,0,0,0,0,0,1,1,1,0,0,0,2,1,2,0,0
1,1,0,0,1,0,0,2,0,1,1,1,1,0,1,0,1,0,1,0,0
0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,2,2,1,1,0
0,1,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,1,1,0,0
2,1,2,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0
1,1,0,0,2,0,1,2,0,0,2,0,0,0,1,1,0,1,0,0,0
0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0
1,2,0,0,2,0,0,2,0,1,0,2,0,0,2,0,0,1,0,0,0
1,0,0,1,1,0,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0
1,2,0,0,0,0,0,2,1,0,0,0,1,0,0,0,2,0,1,0,0
1,1,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0
1,2,2,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0
2,0,0,0,1,1,1,2,0,0,0,1,0,0,0,1,0,0,0,0,0
1,1,1,0,0,0,0,1,0,1,1,1,0,0,1,2,1,0,1,0,0
2,1,0,1,0,0,0,1,0,0,2,0,0,0,1,0,0,0,1,0,0
1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0
2,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0
2,0,2,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0
0,0,1,1,0,0,0,1,0,1,0,1,0,0,1,0,1,1,1,0,0
1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,2,1,1,1,0
2,1,1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0
1,1,1,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0
0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0
1,0,0,1,0,2,0,2,0,0,1,1,0,0,2,0,1,0,1,0,0
1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0
1,1,0,0,1,1,0,2,1,0,1,0,0,0,2,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,1,1,1,0
0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,1,0
0,0,0,0,2,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0
1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0
2,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0
2,2,0,0,1,1,0,2,0,0,1,2,1,2,1,0,0,1,1,1,0
0,1,1,0,0,0,0,2,0,0,1,0,1,0,1,0,2,0,1,0,0
1,1,1,0,1,1,1,1,1,2,1,0,0,0,1,1,2,0,2,1,0
1,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0
1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,0,1,0,0,0
0,0,1,0,1,1,0,0,0,0,1,1,0,0,2,1,1,0,0,1,0
1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,1,0,0,0
2,1,1,0,1,0,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0
1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,0,0
1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0
1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0
2,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0
0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0
1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0
2,0,0,0,0,1,1,1,0,0,0,0,0,0,2,2,0,1,0,0,0
1,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0
2,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0
0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,1,0
0,1,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,2,0,0
1,0,0,1,0,0,0,0,0,1,0,0,0,0,2,1,2,0,0,0,0
1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0
0,1,0,0,1,0,1,2,0,0,1,1,0,0,0,0,0,0,1,0,0
1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,2,1,1,0
0,2,1,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0
1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0
0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,1,1,0,0,0
0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0
2,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,1,0
2,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0
1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0
1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0
1,2,1,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,0
1,0,1,0,1,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0
2,1,2,0,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0
1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,1,0,0
1,0,0,1,0,1,0,1,0,1,0,0,0,0,1,1,1,0,1,0,0
0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,2,0,1,0,0,0
1,0,0,0,0,0,0,0,0,1,1,2,0,0,1,0,1,0,0,2,0
0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0
1,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,0,1,0,0,0
1,2,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0
1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0
0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0
0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0
1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,2,2,0,1,0,0
1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0
2,1,1,1,1,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0
1,0,1,0,2,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0
1,2,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0
2,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0
1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,2,1,0,0,0
2,0,0,0,2,0,0,1,0,1,1,1,0,0,0,2,1,0,0,0,0
1,0,0,0,0,1,0,2,0,1,1,0,0,0,1,1,0,0,1,0,0
1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0
1,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,1,2,0,0,0
2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0
1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,2,1,1,1,1,0
0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,2,1,0,0,0,0
1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0
2,1,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0
1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,1,1,0
2,1,0,1,1,0,0,1,0,1,2,0,0,0,1,0,2,0,1,0,0
1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,1,0
2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0
1,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,0,0,1,0
2,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0
2,2,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0
0,1,0,0,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,1,0
1,1,1,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,0,0
1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0
1,2,1,0,0,0,1,1,1,1,0,1,0,0,1,2,2,0,0,0,0
1,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0
0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,2,0,1,2,0
2,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,0
0,1,0,2,1,0,0,1,0,0,0,0,0,0,1,1,1,1,0,2,0
1,2,0,1,2,1,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0
2,1,1,0,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,1,0
0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,1,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0
1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0
1,1,0,0,0,0,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0
1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0
2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,2,0,1,0,0
0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,2,0,0,1,0
0,0,1,1,2,1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0
2,1,0,0,1,0,0,2,1,0,0,1,1,0,1,0,0,1,0,0,0
1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,2,1,0,1,0,0
2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
1,0,1,0,0,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0
0,0,1,0,0,1,0,1,0,0,0,1,0,0,1,2,1,0,1,0,0
1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0
2,0,0,0,0,1,0,2,0,0,2,1,0,1,0,1,0,0,0,0,0
1,0,0,0,0,1,1,2,0,0,0,0,0,0,1,1,0,0,0,1,0
2,1,0,1,1,0,0,1,1,0,1,0,0,0,1,1,2,0,1,0,0
1,1,0,1,1,0,0,2,1,0,1,0,1,0,0,0,1,1,1,1,0
1,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,2,2,0,0,0
0,1,0,0,0,2,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0
1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0
1,1,0,0,1,2,0,2,1,0,0,0,0,0,0,2,0,0,0,0,0
2,1,0,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,1,2,0
2,1,2,0,1,0,0,1,1,1,0,0,0,0,2,0,1,0,0,0,0
2,0,0,0,0,1,0,1,0,0,0,0,0,0,1,2,0,0,1,0,0
2,0,2,0,0,0,0,1,0,0,0,0,0,0,0,2,0,1,2,0,0
0,2,0,0,2,0,0,0,0,1,1,0,0,0,1,1,1,0,0,1,0
1,2,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0
0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0
1,0,1,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,0,0,0
1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0
1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0
1,1,1,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0
2,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,2,0,1,0,0
1,1,0,0,0,0,0,0,0,0,0,2,0,0,2,0,1,0,1,0,0
1,1,0,0,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0
0,1,0,0,1,0,0,1,1,0,1,0,1,0,2,0,1,1,1,1,0
2,2,0,0,1,0,0,0,0,0,0,2,0,0,0,1,2,0,0,0,0
1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0
2,1,0,0,1,0,0,0,0,0,0,1,0,0,2,1,2,0,1,0,0
1,0,0,0,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0
1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,2,1,1,1,1,0
1,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,2,0
1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,2,1,0,0,0
1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,1,1,0
2,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0
0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0
2,2,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0
1,1,1,0,1,2,0,2,2,0,0,0,0,0,2,2,1,0,1,0,0
1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0
0,1,1,0,2,0,0,2,0,0,1,0,0,0,0,0,1,0,1,0,0
0,2,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0
2,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0
2,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,2,0,0,0
1,2,2,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0
1,2,1,1,0,0,0,0,0,0,2,1,0,0,0,1,1,1,1,0,0
0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,1,0,0
0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,2,0
1,1,0,1,1,0,0,1,0,1,1,1,0,1,1,2,1,0,0,1,0
1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0
1,1,0,1,0,0,0,2,0,1,0,0,0,0,0,1,1,0,0,1,0
1,1,1,2,1,0,0,2,0,1,1,0,0,0,1,0,1,0,2,0,0
1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0
2,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,1,1,0,0,0
1,1,0,0,1,0,0,2,1,1,1,0,0,0,1,0,0,0,0,0,0
1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0
1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0
1,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0
1,0,0,0,0,0,0,2,1,0,0,0,0,0,2,1,1,0,0,1,0
2,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0
0,0,0,0,1,0,0,0,0,0,1,0,0,0,2,2,2,1,0,0,0
1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0
1,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0
2,1,0,0,1,0,0,1,0,0,1,0,0,1,1,2,2,0,1,0,0
0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0
1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,1,1,1,0
0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,2,1,2,1,1,0
1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,1,0,2,1,0,0,0,0,0,1,0,0,0,0
2,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0
1,2,0,0,1,0,0,2,0,1,1,0,0,0,0,1,0,0,1,0,0
1,1,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0
0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0
0,1,0,0,0,1,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0
0,0,1,0,1,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0
1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,2,1,1,0,0,0
2,2,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0
1,0,0,0,0,1,1,1,0,1,1,1,0,0,0,2,0,0,0,0,0
1,2,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,2,1,0,0
0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0
0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0
1,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,1,0,2,0,0,2,1,0,0,1,1,0,0,0,0
2,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0
0,0,0,0,1,0,0,2,0,1,1,2,0,0,1,2,0,0,1,0,0
2,1,2,1,0,0,0,0,0,0,0,1,0,0,0,1,1,1,1,1,0
1,1,0,1,0,1,0,1,1,0,1,1,0,0,1,1,1,1,0,0,0
0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,2,1,1,0
1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0
1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,1,2,0,1,0,0
2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,2,1,0
2,1,0,0,2,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0
0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0
1,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,2,1,0,2,0
1,0,0,0,0,0,0,1,1,0,1,0,0,0,2,0,0,0,1,2,0
0,0,0,0,1,0,0,1,0,0,2,0,1,0,0,2,0,0,1,2,0
1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0
1,0,1,0,2,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0
0,1,2,0,1,0,0,0,0,0,2,2,0,0,1,1,0,0,0,1,0
2,1,1,0,0,0,0,0,1,0,0,1,0,0,1,1,2,0,0,0,0
1,1,0,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0
1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,2,1,1,1,1,0
1,1,1,0,0,0,0,0,1,0,1,2,0,0,1,0,0,0,1,0,0
1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0
1,0,1,1,1,0,2,1,0,1,0,0,0,0,1,1,1,0,0,1,0
1,2,0,0,0,0,0,2,0,0,0,0,0,0,1,1,1,0,2,0,0
0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0
2,1,1,0,0,0,0,1,0,0,1,0,0,0,2,1,0,0,1,0,0
1,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,0
1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0
0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0
0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0
0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0
0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0
2,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,1,0
1,1,0,0,1,0,0,0,0,1,1,1,1,0,0,1,2,0,0,1,0
0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0
2,1,0,0,1,0,0,1,1,0,0,0,0,0,0,2,1,0,1,0,0
1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0
1,1,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,1,1,0
0,0,1,0,1,1,0,1,0,2,1,1,0,0,0,0,1,1,0,0,0
1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,0
0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0
1,0,0,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0
1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0
0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,2,0,0,0
1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0
2,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,1,0
1,0,0,0,0,1,1,1,0,0,1,0,0,0,1,1,2,2,0,0,0
0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0
2,2,2,0,1,0,1,1,0,1,0,0,0,0,2,0,1,0,1,0,0
2,1,0,0,1,0,0,1,0,1,0,0,0,1,1,0,1,2,1,1,0
2,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0
1,1,0,0,0,1,0,1,0,0,1,1,1,0,1,1,1,0,0,0,0
1,2,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0
1,1,0,0,1,0,1,1,1,1,2,1,0,0,0,1,1,0,0,0,0
2,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,1,1,0,0,0
1,2,1,0,1,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0
1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0,1,1,0,0,0
1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0
2,0,0,0,0,0,0,2,1,1,1,0,0,0,0,1,0,0,1,0,0
2,1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0
2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0
2,2,0,0,1,0,0,0,0,0,2,0,0,0,1,0,2,1,1,1,0
0,2,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,1,1,2,0
2,2,1,0,1,0,0,1,0,1,0,1,0,0,1,2,1,0,0,1,0
1,0,0,0,0,0,0,0,0,1,2,0,0,0,1,1,1,1,1,1,0
0,1,1,1,0,0,0,1,0,0,0,2,0,0,1,2,2,1,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0
1,0,1,0,1,0,1,0,2,0,0,0,0,0,1,0,1,0,0,0,0
1,1,0,1,1,0,0,1,1,0,0,0,0,0,0,2,1,1,0,0,0
1,2,0,0,2,0,1,1,0,0,0,1,0,0,2,0,0,1,0,2,0
2,0,2,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,1,0
1,1,1,0,2,0,0,1,0,0,0,1,0,0,1,1,1,0,0,2,0
0,1,1,0,0,0,1,1,1,0,1,0,0,1,1,2,0,0,1,0,0
2,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,1,0,2,1,0
0,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0
0,1,0,0,1,0,0,2,0,1,0,0,0,0,0,0,1,1,0,0,0
0,2,1,0,0,0,0,0,0,0,2,0,0,0,0,1,2,0,1,0,0
0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,2,1,0,1,0,0
1,1,0,0,0,0,1,1,1,2,2,2,0,1,0,0,0,1,0,0,0
2,1,2,0,1,0,0,2,0,1,0,0,0,0,1,1,1,0,1,0,0
0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0
1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0
0,1,1,0,1,0,0,2,0,1,0,1,0,0,0,0,1,0,0,0,0
1,1,0,0,1,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,1,0,0,0,1,1,1,0,0,1,1,0,0,1,0,0
2,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0
0,0,0,0,1,0,0,2,1,0,1,1,0,0,0,1,0,0,0,0,0
1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,1,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0
1,1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0
0,0,2,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0
1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,1,1,0
2,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0
0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0
1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,2,1,2,0,0,0
2,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0
1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0
0,1,0,0,1,0,0,1,1,0,1,1,0,0,1,2,1,0,0,0,0
2,2,1,0,1,0,0,1,1,0,1,0,0,0,0,1,2,0,1,0,0
0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,2,1,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0
1,1,0,0,0,0,1,2,1,0,0,0,0,0,1,0,0,0,0,1,0
0,1,0,1,0,1,0,1,0,0,1,0,0,0,1,2,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,1,0,0
1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,1,1,1,0
2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0
2,1,0,1,1,1,0,2,0,0,1,0,0,0,0,0,2,0,1,0,0
1,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0
1,0,0,0,0,1,0,0,0,1,2,0,0,0,1,0,1,0,1,0,0
0,2,2,1,0,0,0,1,0,0,0,0,0,0,1,2,1,0,0,0,0
1,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,1,1,0
1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,1,1,1,0
0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,2,1,0,1,0,0
0,1,0,1,2,0,0,2,0,0,0,1,0,0,1,2,0,1,0,0,0
2,1,0,1,0,0,0,1,0,0,2,1,0,0,2,1,1,0,2,1,0
2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0
1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0
2,0,0,0,2,0,0,0,0,1,1,0,0,0,1,1,1,0,1,0,0
0,2,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,2,0,0,1,0
0,0,0,0,1,0,0,1,0,0,0,1,0,0,2,2,1,0,0,1,0
2,2,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,2,0,0
0,1,0,0,1,0,0,2,1,0,2,0,0,0,0,1,0,0,0,0,0
1,2,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0
1,2,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0
0,1,0,2,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0
2,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0
0,0,1,0,1,1,0,1,0,0,2,0,0,0,1,0,0,1,0,0,0
0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0
2,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,0
1,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,0
1,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0
1,1,1,0,0,0,0,1,0,1,0,1,0,0,2,1,1,1,1,1,0
2,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,2,1,1,1,0
0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,2,0,0,0,1,0
0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,2,0,0,0,0,0
0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0
0,2,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,1,0,0,0
1,0,0,1,0,1,1,2,0,0,1,0,0,0,2,0,1,1,0,0,0
2,0,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0
0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0
2,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,2,1,0,0,0
1,0,1,0,0,1,0,0,0,0,0,2,0,0,1,0,2,0,0,1,0
0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0
0,1,1,0,0,1,0,2,0,0,1,0,0,0,2,2,2,0,2,1,0
1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0
2,1,0,1,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0
2,1,2,1,1,1,0,2,0,0,0,0,0,0,1,1,0,2,0,0,0
0,1,1,0,2,0,1,1,0,0,0,0,0,0,1,0,2,0,0,0,0
2,1,1,1,1,0,0,2,0,0,0,0,0,0,0,1,0,0,1,0,0
2,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,1,1,0
2,1,2,0,1,1,1,0,0,0,0,0,0,1,2,0,1,0,0,1,0
1,0,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0
1,0,1,2,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0
0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0
2,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0
1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0
1,1,0,1,1,0,0,2,0,1,0,1,0,1,0,0,0,0,0,0,0
2,1,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0
0,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,2,0,1,0,0
1,1,0,0,0,0,0,2,0,0,1,0,0,0,0,0,2,0,0,0,0
1,1,0,0,1,0,0,0,0,1,1,2,0,0,1,1,0,0,0,0,0
1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,2,1,0,2,1,0
1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0
1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0
1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0
0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,2,1,0,0,0
0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0
1,1,1,0,0,0,0,1,1,0,0,1,0,0,2,0,0,1,0,0,0
2,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0,2,0,0,0,0
2,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,2,0
1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,2,2,0,0,0,0
1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0,2,0,0,0,0
1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,0,0
1,0,1,0,1,0,0,2,0,0,0,0,0,1,0,1,1,1,0,0,0
0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0
1,2,1,0,1,0,0,0,0,0,1,2,0,1,2,1,0,0,1,0,0
2,0,1,1,1,0,0,0,0,0,1,1,0,0,0,1,2,1,1,1,0
2,0,0,0,1,0,0,1,1,0,2,0,0,0,0,0,0,1,0,0,0
1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,1,1,1,0,0,0
1,0,2,0,0,0,0,1,1,1,0,1,0,1,1,0,0,1,1,1,0
1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0
0,0,0,0,0,1,0,2,1,0,0,1,0,0,0,0,1,1,1,1,0
0,1,0,1,1,0,0,1,0,0,1,1,0,1,2,0,2,1,0,0,0
1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0
2,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,2,0,1,0,0
1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0,0
0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,1,0,1,0,0,0
2,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0
0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,1,0,1,0,0
1,0,0,1,2,0,0,2,0,0,0,1,0,0,1,1,0,0,2,1,0
0,1,0,0,0,0,0,1,2,0,0,2,0,0,0,0,0,1,1,1,0
2,0,2,0,0,1,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0
1,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,1,1,1,1,0
1,0,0,0,0,0,1,1,1,0,0,0,1,1,0,1,0,2,0,0,0
1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0
0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,2,2,0,0,0,0
1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,2,1,0
1,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0
0,1,0,0,2,0,0,1,1,1,0,1,0,0,0,0,2,1,0,0,0
1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0
1,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0
0,0,1,0,2,0,0,0,0,1,1,0,0,0,1,1,1,0,1,0,0
2,0,0,0,2,1,0,1,0,1,2,0,0,0,0,0,1,0,1,0,0
2,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0
1,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0
0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,2,0,1,1,1,0
1,1,1,0,1,0,0,2,0,1,0,0,0,0,0,2,0,0,1,0,0
1,1,0,0,0,0,0,0,0,0,1,1,0,2,0,0,2,2,0,2,0
2,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0
0,0,0,1,1,0,1,0,0,0,1,0,0,0,2,0,0,0,0,1,0
2,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0
0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0
0,1,0,0,1,0,0,1,1,0,2,2,0,0,0,1,1,1,0,0,0
1,0,0,0,0,0,0,1,2,0,1,0,0,0,0,0,1,0,0,0,0
2,0,0,0,1,0,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0
1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0
0,1,1,0,0,0,1,2,0,0,0,0,0,0,0,1,0,2,1,0,0
2,2,1,0,0,0,0,1,1,1,0,0,0,0,1,1,1,0,0,1,0
1,1,0,0,1,0,0,0,1,0,2,0,1,0,1,1,1,0,0,0,0
2,1,2,1,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,0
0,0,1,1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0
1,0,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0
1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0
2,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0
0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,2,1,1,0,0,0
2,0,2,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,0,1,0,2,0,0,2,0,0,2,0,0,0,1,0
1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0
1,1,0,0,1,0,0,1,2,0,1,0,0,0,1,2,1,0,2,0,0
1,0,0,1,1,0,0,0,0,2,0,1,0,0,1,2,2,1,1,1,0
0,1,0,0,0,0,0,2,0,1,2,0,0,1,1,0,0,1,0,0,0
2,1,1,0,1,1,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0
1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,1,2,0,0,0,0
1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0
1,0,1,0,1,1,0,2,0,1,1,0,0,0,1,1,0,1,0,2,0
0,0,1,0,0,1,0,1,1,0,0,1,0,0,2,1,1,1,1,1,0
1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0
0,0,1,1,0,0,0,2,0,1,0,0,0,0,2,2,1,0,1,0,0
1,1,1,0,1,2,0,1,1,1,0,0,0,0,0,1,1,1,1,1,0
2,0,1,1,0,0,0,1,0,1,1,0,1,0,0,2,2,0,1,0,0
2,1,0,1,0,0,0,2,1,0,1,0,0,0,2,0,1,0,0,0,0
0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0
1,0,0,0,0,1,0,1,1,0,1,0,0,0,2,0,1,0,1,0,0
1,1,0,0,0,1,1,0,0,1,0,0,0,0,2,0,0,0,0,2,0
2,1,1,0,0,0,0,0,0,0,0,2,0,0,0,2,0,1,2,0,0
2,0,0,0,0,1,0,2,1,0,1,0,1,0,0,0,2,0,1,0,0
0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0
1,0,1,1,1,0,0,0,0,2,0,0,0,1,0,2,0,0,1,0,0
1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0
2,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0
2,0,0,0,1,0,0,2,0,0,0,1,0,0,1,0,2,0,1,0,0
2,0,0,0,0,0,0,2,0,2,2,0,0,0,2,1,1,0,2,1,0
2,1,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0
0,0,0,1,2,0,0,1,1,0,0,0,0,0,0,1,1,1,1,1,0
2,2,0,0,0,0,0,2,0,1,2,0,0,0,0,1,1,0,1,0,0
2,1,0,0,1,1,1,2,1,0,1,0,0,0,1,1,0,0,0,0,0
0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0
0,0,0,0,1,0,0,2,1,1,0,0,0,0,2,1,2,0,0,0,0
1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0
1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0
0,0,0,1,1,0,0,2,0,0,0,0,0,0,0,1,1,0,0,1,0
0,1,0,0,1,0,0,1,1,0,0,1,1,0,2,1,0,1,1,1,0
1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,2,0,0,0,0,0
1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0
1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,2,0
1,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0
1,0,1,1,2,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0
1,1,0,1,0,1,0,1,0,0,0,1,1,0,1,1,2,1,1,0,0
1,0,0,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,0
1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0
0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,2,1,1,1,0
0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0
2,1,2,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0
1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0
2,1,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0
2,0,1,0,0,1,0,0,0,1,1,1,0,0,2,1,1,0,0,0,0
2,2,1,0,0,1,0,1,0,1,1,0,0,0,0,2,0,0,0,0,0
1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0
1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0
0,0,1,0,0,0,1,2,0,1,0,0,0,1,1,0,1,0,0,0,0
1,0,0,0,1,0,0,2,1,0,1,1,0,0,1,0,1,1,0,0,0
1,0,0,1,0,1,0,1,0,1,1,1,0,1,2,0,0,0,0,1,0
1,1,0,0,0,1,1,1,0,0,1,0,0,0,0,2,0,0,1,0,0
1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0
1,2,1,0,1,0,0,2,1,2,0,0,0,0,1,1,1,1,1,1,0
1,0,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0
1,0,0,0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0
0,1,1,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,0
1,1,0,1,0,0,0,0,1,0,1,0,0,0,2,1,0,0,0,0,0
0,0,0,1,1,0,0,1,0,0,2,1,0,0,0,1,1,0,0,1,0
2,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0
1,1,0,0,2,0,1,1,0,0,0,0,0,0,0,0,2,0,1,0,0
1,1,1,0,0,0,1,2,0,1,0,0,0,0,1,1,2,0,0,1,0
1,1,0,1,1,2,0,0,1,1,0,0,0,0,2,0,2,1,0,0,0
0,0,0,0,1,0,0,2,0,1,0,0,0,1,1,2,0,2,0,1,0
2,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,2,0,1,0,0
1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0
0,0,0,0,1,0,1,0,0,1,2,0,0,0,0,1,1,0,0,1,0
1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,1,0,0
2,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,1,0,0,2,0
1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,2,2,0,0,0,0
1,1,1,1,2,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0