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