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3,0,6,2,2,1,1,1,1,3,3,2,3,2,0,0,0,0,0,1,1,0,2,1,1,0,0,1,0,0,3,1,1,0,1,0,0,0,0,2,0,0,1,0,0,4,1,1,3,2,1,2,0,0,1,1,0,0,1,1,1,3,2,2,0,0,1,0,1,4,5,2,1,1,2,0,1,0,0,1,1,1,0,0,0,2,2,1,1,2,1,1,2,1,2,0,1,0,0,0,0,1,1,3,0,0,3,2,0,0,0,0,1,1,0,0,2,0,3,0,1,1,2,1,4,0,0,1,1,1,1,2,3,0,2,1,1,1,1,0,0,2,2,0,2,1,1,3,0,0,0,1,2,2,2,0,1,1,0,0,1,1,2,1,1,0,1,0,1,3,1,2,1,1,1,0,0,3,3,0,0,1,0,1,0,0,0,5,1,0,3,0,3,0,1,1,1,0,0,0,1,2,0,1,0,0,0,1,1,0,0,2,0,0,1,2,4,4,4,1,2,2,1,0,0,1,0,2,0,1,1,1,1,0,4,0,0,1,0,2,1,0,0,1,0,2,0,1,0,0,0,1,0,0,2,3,0,1,2,0,0,0,0,1,3,3,3,0,0,2,0,3,0,0,0,3,0,0,1,0,1,5,0,0,0,1,0,0,0,1,3,0,0,0,0,0,0,0,2,2,0,0,0,0,0,1,1,1,1,1,0,0,0,1,1,3,0,4,2,2,2,0,1,1,1,0,0,0,1,3,0,3,1,1,0,0,1,3,1,0,0,0,0,1,1,0,0,2,2,0,2,0,2,0,1,1,0,2,1,0,0,2,1,1,0,1,0,1,0,0,2,1,0,0,0,0,2,0,0,0,0,0,0,0,1,1,0,5,0,0,0,0,2,1,1,2,0,1,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,3,1,2,1,2,1,0,0,1,0,2,1,1,0,0,0,2,1,0,1,0,2,0,2,3,0,0,3,0,0,0,0,0,0,1,2,0,0,0,0,0,0,2,1,0,0,1,2,1,1,0,2,0,1,1,1,1,1,0,1,0,0,1,1,0,2,2,0,2,0,2,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,2,1,0,0,0,2,0,2,2,0,0,1,0,0,1,0,1,2,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,2,1,0,0,1,0,3,0,0,0,0,1,0,1,0,0,0,0,0,0,2,2,0,2,0,3,3,1,0,1,0,1,0,2,1,0,2,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,1,1,0,6,1,3,1,0,1,2,0,1,2,0,1,2,0,0,0,0,0,0,0,0,2,0,1,0,0,0,1,1,0,0,0,2,0,0,2,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,2,0,3,0,0,0,1,1,0,2,1,0,0,0,0,0,0,0,0,0,0,2,0,1,2,1,2,0,0,0,0,0,1,0,0,1,0,2,0,0,2,0,2,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,5,1,0,1,0,0,1,0,1,1,2,0,1,3,0,0,1,0,0,3,1,0,1,0,0,0,0,0,0,1,2,0,0,1,0,2,0,0,2,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,1,0,9,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,2,0,0,1,1,0,0,0,1,0,2,0,0,0,2,2,2,1,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,0,1,0,0,0,2,0,2,0,0,0,0,1,8,0,1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,2,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,3,0,0,3,0,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,1,0,1,1,2,0,1,0,0,0,1,1,7,2,0,0,1,3,2,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,3,3,0,0,0,0,2,2,2,1,1,0,0,1,0,2,0,1,1,0,0,3,1,5,1,2,0,1,0,2,0,1,2,1,0,0,0,1,1,0,1,0,0,0,0,1,0,3,0,1,0,1,2,0,0,1,0,1,1,0,0,0,0,2,1,1,1,1,1,2,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,1,0,2,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,2,2,0,0,0,1,2,0,2,0,0,0,0,0,0,0,0,2,0,1,0,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,2,0,1,0,0,0,0,0,0,0,0,1,2,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,3,1,1,1,0,0,1,0,1,0,0,2,0,0,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,2,2,0,0,0,1,1,0,0,0,0,0,1,1,1,1,0,0,0,1,3,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,2,2,1,1,1,0,0,1,1,1,2,2,0,2,0,3,2,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,1,0,0,1,0,2,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,1,0,1,1,0,1,2,0,0,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0,1,0,3,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,2,0,1,2,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,1,0,2,1,1,0,0,0,0,0,1,1,0,0,1,0,0,2,0,0,0,0,0,1,1,0,0,2,1,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,3,0,0,0,0,1,0,1,0,1,2,1,0,1,0,0,1,0,1,0,0,1,1,0,0,0,1,4,0,0,1,0,0,2,0,0,2,0,1,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,2,0,0,0,0,1,5,1,0,0,0,0,0,0,0,2,0,0,3,1,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,0,0,0,0,0,2,2,1,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,2,2,3,8,0,0,2,1,0,2,0,1,0,0,0,0,1,0,2,1,1,0,0,1,0,1,1,0,0,0,1,1,0,2,0,2,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,2,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,3,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,0,0,0,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,1,0,0,1,1,1,0,1,0,2,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,3,0,0,0,1,1,0,1,0,0,2,0,1,0,0,0,1,0,1,0,2,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,2,0,0,0,1,1,0,2,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,5,0,0,1,0,0,2,1,4,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,2,0,0,0,0,1,3,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0,0,1,3,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,1,0,0,5,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,1,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,1,0,1,1,0,1,1,0,0,0,2,2,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,2,0,1,0,0,0,1,0,1,2,0,0,1,1,0,1,0,0,0,2,0,0,1,0,0,1,1,1,0,0,0,1,2,0,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,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4,1,0,0,1,1,0,0,2,1,1,0,0,0,0,0,2,2,0,1,1,0,0,2,0,0,0,0,0,0,1,0,1,1,2,2,0,1,1,0,0,7,0,0,2,0,1,3,0,0,3,0,1,1,1,0,0,1,0,1,0,1,1,1,0,2,1,1,0,0,0,2,2,1,2,1,1,2,2,1,0,1,0,0,2,2,0,1,1,0,0,1,0,0,0,0,0,0,1,1,3,0,0,0,1,1,2,1,2,1,0,1,1,1,1,0,1,0,0,0,1,0,1,2,0,7,0,0,1,0,2,2,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,2,0,0,0,0,3,1,1,0,0,0,3,1,1,2,0,0,2,1,1,1,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,2,3,0,1,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,2,0,1,3,0,0,0,1,0,0,0,0,2,0,1,0,1,0,0,3,0,1,0,1,0,2,0,1,1,0,0,0,0,0,0,3,1,1,1,0,1,0,1,0,1,1,1,1,2,1,0,3,1,4,2,2,0,0,0,0,1,0,0,1,3,0,1,1,0,0,0,2,1,2,0,1,0,1,0,0,1,0,3,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,3,1,2,0,0,1,2,0,0,0,0,0,0,0,4,0,0,0,1,0,0,1,1,0,1,0,1,1,0,2,1,1,0,1,0,1,0,0,1,3,1,0,2,0,1,0,0,0,2,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,4,2,1,0,1,0,0,2,1,1,1,0,1,0,0,1,2,0,1,0,0,10,2,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,1,0,2,0,0,1,0,0,0,0,0,0,0,2,0,1,1,0,0,0,1,0,0,0,1,0,0,0,2,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,2,0,0,2,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,1,0,1,1,0,0,2,1,2,0,0,1,0,0,1,1,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,2,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1,2,0,0,0,0,1,1,0,2,0,0,0,0,0,0,0,3,1,1,0,0,0,0,0,0,3,0,0,0,1,2,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,3,1,0,1,0,1,1,1,0,1,1,0,0,1,2,1,0,0,0,0,1,0,1,8,2,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,2,0,0,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,1,2,2,8,1,1,0,1,0,1,1,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,4,0,0,0,0,2,1,1,1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,1,1,1,2,0,1,1,0,0,0,0,0,2,0,0,1,0,1,1,0,1,0,0,2,1,3,0,3,1,0,1,0,0,1,0,2,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,2,1,1,0,1,0,2,0,0,1,1,1,0,1,2,0,0,0,0,1,2,0,2,0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,2,0,2,0,0,0,0,4,0,0,0,0,1,0,1,0,1,0,0,2,1,1,0,0,0,0,0,0,0,0,1,2,0,1,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,0,0,1,0,2,0,0,0,1,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,2,0,1,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,2,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,3,0,0,1,0,2,1,1,0,0,0,1,1,2,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,3,0,0,0,0,0,0,1,0,1,2,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,1,1,1,2,0,0,0,0,0,7,0,0,0,1,0,0,0,0,0,1,0,2,0,1,0,0,1,0,0,0,0,0,2,0,1,1,0,1,1,0,0,0,0,1,0,0,2,0,1,0,2,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,4,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,8,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,1,0,1,0,0,0,2,1,0,1,0,1,0,1,0,0,0,0,2,4,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,2,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,5,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,10,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,1,0,1,0,0,2,0,1,0,0,0,1,0,0,0,0,1,0,1,1,1,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,10,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,2,2,0,1,0,0,0,1,0,0,1,2,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,2,0,0,0,2,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,3,0,0,0,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0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0,1,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,Morrison
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