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4,3,5,4,2,2,1,1,1,1,1,1,1,4,3,2,2,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,4,3,2,2,1,1,1,4,4,2,1,1,1,4,6,3,2,1,1,1,1,1,1,1,1,5,3,3,2,1,1,1,1,1,1,7,1,1,2,1,4,2,2,1,1,4,3,2,1,1,4,4,3,2,4,3,3,3,2,1,1,2,1,1,1,1,8,2,2,1,1,1,1,1,2,1,3,1,1,7,4,1,3,1,1,1,1,9,1,1,2,3,2,2,2,1,1,1,2,1,3,1,1,1,4,1,1,1,1,8,8,4,5,2,1,1,2,1,3,1,1,1,4,1,1,1,4,3,3,2,1,1,1,7,1,1,1,3,2,2,1,1,2,1,3,5,1,1,1,5,1,1,1,1,2,2,1,1,1,1,1,7,3,3,2,1,1,1,1,1,1,1,1,1,2,7,3,2,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,3,2,2,1,1,1,7,1,1,1,1,1,1,1,1,1,2,1,1,1,1,4,1,1,1,2,2,1,1,1,1,1,6,2,1,1,5,1,1,3,4,3,2,2,1,1,1,2,1,1,3,1,1,1,1,1,3,3,2,2,1,1,5,3,2,3,6,2,1,1,6,1,1,1,5,3,2,2,2,2,1,1,1,2,1,1,1,1,4,1,1,3,2,1,2,2,1,1,1,1,7,3,1,2,2,1,5,4,1,1,1,2,1,1,6,4,2,1,1,2,3,2,2,3,1,1,1,1,1,1,1,4,2,2,2,3,9,1,6,1,1,1,1,2,3,1,7,2,1,1,1,1,1,2,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,3,2,1,2,2,7,5,4,2,2,1,1,8,1,1,2,6,1,1,5,3,6,1,1,2,3,1,6,1,1,3,2,1,2,1,1,2,7,1,1,1,5,2,1,1,5,6,2,2,2,1,5,2,2,1,5,1,1,2,1,1,7,2,2,1,1,1,3,2,2,1,3,1,1,2,2,1,2,1,1,1,4,2,1,1,7,2,1,1,1,1,1,1,2,1,3,1,1,4,5,2,3,1,1,1,1,1,4,3,1,1,1,5,2,2,2,2,2,5,4,5,5,2,1,3,2,1,1,2,1,6,8,1,1,1,4,3,2,1,1,1,1,1,3,3,1,1,1,2,1,1,2,1,1,4,2,1,2,1,2,1,11,1,3,6,7,6,1,1,5,1,2,1,2,1,1,5,2,5,6,2,1,7,4,5,3,1,2,7,2,3,1,3,4,1,2,2,8,10,1,1,1,1,1,1,4,1,4,5,2,2,2,5,2,2,1,8,1,1,1,1,8,3,1,1,7,2,2,6,3,1,1,2,1,1,1,1,1,3,1,6,4,2,1,1,1,1,1,1,1,1,1,1,1,1,11,1,1,1,1,4,1,6,1,1,1,1,1,1,1,2,2,2,1,3,3,1,8,5,4,2,1,1,1,1,7,4,3,2,2,1,1,1,1,1,1,1,2,1,1,1,2,2,2,1,1,6,5,2,2,2,1,1,1,4,2,1,1,9,2,1,1,1,1,9,8,4,4,2,1,5,3,1,4,2,1,1,1,5,2,4,2,1,3,2,1,1,4,2,1,1,1,1,6,2,2,1,1,4,1,2,2,4,1,1,1,1,1,2,2,1,1,2,1,2,1,1,3,3,1,1,1,3,1,1,2,1,5,2,2,2,2,1,1,4,2,2,1,1,1,1,5,3,1,1,6,2,4,2,1,9,4,1,2,2,7,1,5,5,2,2,3,3,2,1,1,2,1,1,1,1,5,2,2,2,1,4,4,1,5,2,6,1,1,5,2,2,1,5,2,1,1,1,3,3,8,2,4,1,1,1,1,1,5,1,1,1,5,5,1,2,1,1,1,1,10,5,1,1,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1,2,1,1,1,3,2,4,1,1,1,1,4,1,1,1,1,3,2,2,1,1,1,1,4,1,1,1,1,1,4,2,1,5,1,1,3,3,1,1,1,6,3,2,2,1,1,1,7,2,1,1,4,3,3,1,1,4,1,1,1,7,6,7,5,4,6,2,1,6,2,2,1,4,2,1,1,1,1,1,4,5,2,2,1,1,1,1,2,2,1,1,4,2,1,1,1,1,1,1,1,1,1,2,1,1,1,1,4,2,1,1,1,1,1,1,1,1,1,1,1,1,1,7,5,2,2,1,1,1,1,1,1,1,2,2,8,3,5,2,1,2,1,1,5,3,7,1,2,2,6,1,3,8,3,1,6,3,5,1,4,2,1,1,1,1,10,2,5,4,3,1,1,1,4,2,5,1,1,1,1,1,6,7,2,5,1,3,2,2,2,1,1,4,3,1,5,3,1,9,6,2,2,1,1,4,2,5,1,1,1,1,1,1,1,2,2,1,5,2,8,3,1,1,1,1,1,1,1,8,1,3,3,1,1,4,8,6,2,8,1,1,1,3,1,1,1,6,2,2,5,1,1,1,3,3,1,1,1,1,2,1,4,1,1,4,1,8,2,10,2,7,1,1,3,3,1,1,2,1,1,2,1,1,4,5,5,2,5,2,1,1,8,2,2,5,11,2,1,1,2,4,2,5,1,4,1,1,1,2,1,1,4,9,2,1,1,1,4,7,1,2,1,1,5,1,1,1,1,1,7,3,2,5,1,4,4,1,2,3,1,3,1,5,2,2,2,1,2,1,3,1,2,1,2,2,2,7,4,2,1,4,6,1,1,1,1,3,4,2,2,1,1,1,1,9,4,1,7,4,3,3,1,1,1,1,2,2,4,2,1,3,2,2,2,1,1,1,7,2,1,3,2,1,1,2,2,3,1,1,4,2,1,1,1,1,1,1,4,3,3,5,1,2,1,2,1,3,7,1,1,8,5,1,1,1,4,4,1,7,2,2,1,1,1,1,1,4,1,3,3,2,1,1,1,1,5,4,2,1,1,1,3,1,1,6,2,1,1,8,1,2,6,2,1,2,2,1,1,1,3,5,3,1,3,2,2,2,1,1,1,1,1,1,1,1,1,1,1,5,3,1,1,3,1,4,6,4,1,3,5,2,1,1,4,1,1,1,3,1,6,4,3,1,1,8,4,1,1,4,1,7,2,7,1,1,1,1,3,4,1,1,1,1,1,3,1,1,1,5,1,1,1,1,3,1,9,3,1,1,8,2,2,3,1,1,11,2,1,8,4,1,2,1,3,2,2,2,7,6,1,1,1,1,1,1,10,4,1,1,1,1,1,1,1,1,7,5,1,4,2,1,6,1,1,1,1,5,1,1,1,1,2,1,2,1,1,1,8,3,2,2,1,1,10,5,3,1,1,2,1,8,2,1,1,1,1,1,4,1,4,4,2,1,1,6,6,3,2,2,2,1,5,4,1,4,2,1,1,1,1,1,1,1,1,8,5,2,1,1,1,2,1,1,8,3,1,2,2,4,1,8,3,2,2,2,2,2,1,1,1,4,5,3,2,1,1,5,4,2,1,1,4,3,1,1,11,1,2,2,1,1,2,1,4,6,5,3,4,2,2,1,1,1,1,1,1,1,1,3,3,2,2,1,1,1,1,10,4,4,3,1,4,1,1,1,1,1,3,1,1,1,1,5,2,2,4,3,2,1,1,1,1,1,6,2,1,8,1,1,2,2,1,1,1,6,2,2,1,1,7,1,1,6,1,1,1,4,4,2,2,1,1,8,2,1,1,1,1,1,1,5,6,2,2,2,1,3,2,1,3,1,3,3,1,5,4,2,1,1,1,2,2,2,2,6,3,1,1,1,2,2,1,2,1,3,2,2,3,1,2,7,5,2,2,1,1,3,2,2,2,1,8,1,1,8,5,1,7,1,5,2,1,1,5,2,4,1,3,4,1,1,1,1,1,2,1,1,1,1,5,3,2,2,4,2,2,1,5,1,1,1,1,5,2,1,1,1,1,1,2,1,1,6,1,4,6,2,1,1,1,1,3,2,5,2,1,1,4,1,1,1,1,1,1,5,3,2,2,2,1,1,1,1,1,1,3,3,2,1,1,1,1,1,1,1,1,1,1,4,2,3,3,1,1,2,2,1,1,1,1,1,1,2,1,1,1,2,7,5,2,1,1,4,3,2,1,1,1,3,2,1,1,1,1,8,1,1,1,1,7,3,4,1,6,2,8,3,3,2,2,1,1,4,3,2,1,8,5,3,1,6,2,1,1,6,2,1,1,1,6,1,1,1,3,3,3,3,2,1,3,3,1,1,1,3,1,1,1,4,1,1,2,3,1,3,4,4,6,1,1,1,8,2,1,1,1,2,2,1,4,3,1,1,1,5,1,1,4,1,1,8,1,5,5,1,1,5,4,2,1,6,2,1,1,1,2,8,1,1,3,3,5,2,6,2,1,1,5,1,1,4,1,1,5,1,4,1,3,1,5,1,3,1,1,1,3,1,6,2,1,7,6,1,1,1,3,2,1,2,1,2,1,1,1,1,2,2,1,1,1,1,3,1,1,5,5,2,3,1,5,4,1,8,4,2,1,1,5,1,3,2,1,1,3,1,1,1,1,7,2,1,1,2,3,2,2,4,4,2,1,1,1,1,1,1,1,6,4,2,2,2,1,1,1,1,1,3,2,1,1,7,1,1,1,1,6,1,1,1,3,2,1,1,5,5,1,1,1,1,8,2,1,1,1,4,2,2,1,4,1,1,1,1,3,4,4,6,3,2,1,1,3,6,3,3,1,1,1,1,1,1,4,1,7,1,3,1,3,3,5,3,1,5,3,4,1,1,5,6,4,1,1,1,10,8,2,1,1,1,3,1,3,6,3,2,2,1,1,1,8,2,2,1,1,1,5,2,1,6,6,5,1,4,2,2,1,3,2,1,1,8,1,1,1,2,1,1,5,2,1,1,1,1,2,1,1,5,1,1,1,1,1,2,1,5,7,7,6,2,1,1,1,1,1,2,1,1,1,2,3,5,1,1,2,5,5,4,2,1,3,4,2,8,3,1,1,3,5,2,1,1,2,1,1,1,6,1,4,2,2,1,1,1,1,2,4,1,1,1,1,5,1,1,7,1,3,3,3,8,1,1,6,1,5,1,1,1,2,1,2,4,3,1,1,1,1,1,7,1,4,2,1,1,4,1,1,1,1,3,1,4,2,2,4,1,1,1,1,1,2,2,1,1,1,3,1,8,3,1,1,1,5,2,1,5,1,7,1,1,1,3,1,4,7,1,6,1,1,1,1,3,5,2,1,1,1,4,1,5,5,2,1,1,1,2,2,3,1,1,1,4,2,1,1,1,1,1,2,1,1,1,1,1,1,1,2,1,1,1,4,4,2,1,1,3,1,1,1,1,1,1,5,1,1,1,1,4,3,1,1,1,1,6,2,3,3,1,1,2,2,1,1,1,3,2,1,1,3,1,1,2,1,1,5,3,2,1,1,7,3,1,1,5,3,3,1,1,1,4,2,8,1,2,1,2,1,1,1,1,2,2,1,1,1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