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5,7,8,10,7,8,9,8,8,9,9,8,8,10,9,9,8,9,8,8,10,7,7,11,6,11,9,11,11,12,9,10,15,8,12,12,11,7,7,11,6,8,7,7,10,7,7,8,7,6,6,10,11,5,9,8,10,7,8,7,11,6,8,6,11,6,7,8,9,7,5,6,5,6,6,6,8,5,5,7,7,4,5,6,5,5,7,4,8,5,6,5,5,6,4,7,5,6,5,6,5,5,6,6,6,6,8,6,4,6,6,6,6,8,5,3,6,7,5,5,5,5,5,5,6,5,8,6,7,4,6,6,7,6,5,6,5,7,4,6,6,4,6,5,4,6,6,6,7,5,7,5,4,6,6,7,7,5,5,6,5,5,8,7,8,6,6,5,7,5,5,7,6,5,4,7,6,8,5,6,8,5,6,7,7,6,4,9,7,7,5,7,6,6,7,9,7,8,7,7,5,5,6,8,5,5,8,9,5,9,7,7,6,6,6,8,6,7,7,8,4,5,6,5,6,5,6,8,8,6,6,7,6,5,5,7,6,4,10,7,5,4,7,6,4,3,5,5,5,6,5,6,6,7,4,7,5,4,4,4,5,5,4,6,5,6,6,4,6,6,3,5,5,4,4,4,6,6,7,5,4,5,5,5,5,8,5,5,8,4,4,6,5,3,8,3,2,4,3,3,7,0,3,5,4,9,3,5,4,6,6,4,7,4,4,2,3,3,3,4,3,3,4,5,6,5,5,5,7,5,9,4,7,3,1,4,2,4,4,6,7,6,3,8,6,4,3,9,2,6,8,4,2,2,3,4,5,5,4,3,4,5,2,2,5,5,4,1,3,2,3,5,3,2,3,2,1,3,5,4,2,2,1,5,5,1,1,4,3,2,2,1,2,2,2,2,4,2,2,1,0,2,2,1,2,1,1,0,0,3,2,2,4,4,0,0,1,0,1,1,1,3,4,1,4,6,2,1,4,4,3,2,2,3,4,2,4,2,3,2,2,1,3,1,2,2,5,4,1,4,3,2,2,6,3,3,1,3,4,2,1,3,3,3,1,3,3,1,3,1,5,1,1,2,0,3,5,2,6,2,3,7,4,6,7,5,5,6,5,4,5,7,6,0,0,7,5,4,6,4,8,6,5,4,5,4,0,0,4,6,5,6,4,6,5,5,5,5,4,4,5,4,4,6,3,3,5,4,4,4,3,4,5,4,3,3,5,5,4,3,3,4,4,3,5,3,4,4,3,4,5,4,4,5,6,6,4,4,4,5,4,3,4,4,4,5,5,7,6,5,3,4,5,4,4,3,4,6,4,6,4,5,4,3,5,3,5,5,4,4,6,6,5,6,4,4,4,3,4,4,4,2,3,6,4,4,4,4,5,4,5,5,4,5,4,0,0,4,0,0,0,0,0,0,0,2,5,2,5,4,4,3,3,2,7,3,4,3,6,4,3,5,4,5,2,3,6,4,3,3,2,3,4,4,8,4,9,7,4,3,3,3,2,4,3,5,4,3,3,5,3,6,4,4,7,5,4,4,4,4,5,4,5,5,4,4,3,3,4,4,5,4,7,5,5,6,5,3,3,5,5,3,2,5,4,3,8,2,5,5,3,4,3,4,3,0,0,0,0,0,0,0,4,4,4,3,5,4,4,0,0,6,0,0,0,0,0,3,5,3,3,4,2,4,2,2,2,3,2,2,5,2,3,9,2,2,4,1,3,5,4,0,0,2,7,6,5,5,4,6,5,3,0,0,0,0,6,0,0,0,0,0,0,0,5,4,5,5,4,5,4,0,0,5,5,4,5,3,6,6,3,3,6,7,4,2,7,7,4,4,5,4,4,3,3,4,5,5,5,4,6,6,4,3,5,4,5,4,3,3,3,6,4,5,3,5,5,3,4,4,3,4,3,4,5,7,4,3,5,4,7,4,4,4,3,6,3,4,6,3,5,4,6,4,5,6,3,6,4,3,7,5,6,6,2,6,5,7,6,6,6,3,6,6,3,7,3,7,3,5,4,4,4,7,3,5,1,2,6,3,8,6,5,6,6,6,4,4,4,5,6,6,7,3,4,5,3,4,3,3,7,4,6,4,4,7,7,0,0,0,0,0,0,4,6,5,3,3,3,4,2,5,5,3,4,6,7,4,4,8,3,6,3,5,4,5,6,7,5,3,4,6,3,6,7,5,5,6,2,5,3,3,4,4,5,3,5,5,2,7,3,4,5,4,8,4,3,5,4,3,5,3,5,6,5,5,4,3,4,6,3,5,4,5,5,6,4,4,6,3,5,6,4,5,4,4,6,4,5,7,6,4,4,4,4,7,5,6,3,5,3,3,3,5,5,8,6,6,3,5,5,3,5,4,6,5,3,7,5,4,4,5,3,5,3,3,5,5,4,6,6,3,4,6,4,6,6,3,4,3,3,3,3,5,3,3,3,4,3,3,3,3,4,3,3,7,3,6,5,4,3,4,4,2,3,3,4,4,5,3,5,4,7,6,3,5,3,5,2,0,0,0,0,0,3,5,3,6,5,3,5,3,4,6,3,5,4,5,6,4,5,3,5,6,4,4,6,4,4,3,5,6,0,0,5,4,6,2,5,3,5,5,4,3,3,4,5,5,6,5,5,5,5,3,4,3,5,5,5,2,0,0,0,2,1,4,4,4,4,5,5,6,3,3,5,5,5,4,5,4,3,6,3,5,3,4,6,5,6,4,6,6,5,4,7,4,6,5,6,5,4,6,5,6,5,5,5,4,4,5,2,5,2,5,5,4,6,4,6,5,2,5,7,5,5,5,5,7,4,4,6,3,4,6,4,3,6,3,5,6,3,4,8,5,3,6,4,4,4,7,5,5,4,5,5,3,3,3,3,4,3,4,3,4,4,3,3,3,4,4,3,6,3,3,2,6,5,3,5,5,2,4,3,3,3,5,2,3,3,3,3,3,4,6,4,3,3,5,4,4,3,3,3,3,4,4,4,3,3,5,4,4,4,3,3,4,4,4,3,2,3,4,3,3,4,3,4,2,4,4,2,3,2,3,2,3,3,3,4,3,3,3,3,3,4,3,4,3,4,3,3,4,3,3,4,4,2,6,4,3,3,3,3,4,3,4,3,5,5,3,3,3,6,3,4,3,4,4,3,5,4,4,3,3,4,2,4,3,4,4,3,4,3,4,6,3,3,4,6,5,3,2,4,4,6,2,5,4,6,5,6,5,4,5,4,5,6,6,4,5,4,4,5,4,4,4,4,3,5,4,4,6,4,5,4,5,3,5,4,4,4,4,4,3,4,5,4,5,4,6,5,6,4,3,5,5,5,4,3,2,4,7,5,4,4,3,4,5,4,6,4,3,4,4,5,5,5,3,5,5,5,3,4,5,1,3,4,6,5,5,5,4,4,4,4,5,3,4,6,4,3,6,5,3,4,5,3,8,4,0,0,4,5,3,4,3,2,4,3,6,5,3,6,3,7,5,5,5,6,6,4,3,6,4,4,4,6,6,5,4,4,5,7,4,4,4,4,4,4,6,5,3,6,4,5,6,6,3,5,4,4,4,4,5,5,5,8,4,3,3,4,4,4,1,5,5,3,1,5,3,2,3,3,2,2,2,2,4,2,2,3,2,2,2,3,2,4,2,2,4,3,3,5,3,2,3,3,3,4,4,2,3,2,2,2,3,5,5,3,1,3,2,3,2,3,3,4,1,3,2,3,1,1,1,4,2,3,3,4,4,2,3,3,2,4,5,1,4,2,2,2,3,5,1,2,1,3,4,3,2,3,4,2,3,2,1,3,4,4,2,3,2,2,2,3,2,3,6,2,3,3,3,4,2,3,3,2,3,2,2,3,3,2,3,1,0,1,1,1,0,1,1,1,0,0,1,2,0,1,2,1,1,2,2,1,1,0,1,1,2,2,0,1,0,1,0,1,0,1,0,0,1,0,0,1,1,1,1,2,3,0,2,0,1,2,1,0,1,1,1,1,0,1,3,1,2,2,2,3,4,4,4,4,4,3,4,3,4,4,3,1,4,2,3,3,3,3,4,2,5,2,4,4,2,5,3,5,4,2,3,3,1,3,4,4,2,4,3,2,4,4,3,2,2,6,1,6,3,4,2,3,3,2,2,4,3,3,5,5,4,4,5,5,4,4,2,3,2,5,3,3,1,2,3,2,2,3,1,4,2,2,3,5,2,2,5,0,0,4,3,3,2,1,5,4,6,4,2,1,1,2,5,1,3,4,5,5,2,1,5,5,3,3,3,0,0,2,5,1,4,2,3,3,3,3,4,4,3,3,3,3,2,3,3,3,4,3,2,0,0,0,0,0,3,4,3,3,4,4,3,3,3,3,4,3,5,4,2,3,3,4,3,2,4,2,4,4,3,2,5,3,5,4,3,3,3,4,4,3,4,3,3,2,2,3,4,3,4,5,2,3,3,2,2,1,1,1,1,1,3,1,2,6,4,3,3,3,3,4,3,2,4,2,1,4,3,2,2,4,3,4,2,5,3,2,4,2,3,3,2,4,3,2,3,2,2,2,2,2,2,1,3,2,2,2,3,2,2,2,2,2,2,2,2,2,2,2,2,3,3,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,2,3,2,2,3,3,1,0,1,3,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,2,2,0,0,0,3,1,1,0,2,2,0,1,3,4,2,2,2,2,2,2,5,2,2,4,3,3,3,3,2,2,2,3,4,2,1,2,1,2,2,3,3,0,0,2,2,0,0,2,1,2,2,2,0,0,3,3,3,2,2,3,3,3,3,3,3,3,3,3,4,3,3,2,4,4,3,2,2,3,2,2,2,3,1,3,2,2,2,1,3,5,3,1,1,1,2,3,3,2,6,3,3,1,4,2,4,3,1,0,4,4,4,3,3,2,2,3,2,2,5,1,3,3,1,2,4,2,3,4,4,5,4,3,3,3,2,2,1,4,1,2,5,2,3,3,1,2,1,0,3,2,1,3,3,2,3,2,2,3,3,2,1,2,3,2,2,2,2,1,2,3,3,2,3,5,2,1,5,3,2,2,2,5,2,4,3,2,3,2,3,2,4,2,2,3,1,6,2,2,4,3,2,2,3,3,3,2,3,3,2,1,2,3,3,3,3,3,4,2,2,2,5,2,2,3,3,2,2,2,3,2,3,3,4,2,5,3,3,3,3,2,3,5,0,5,3,3,3,2,5,5,3,3,4,2,3,2,4,4,4,3,3,3,3,2,6,2,4,3,3,3,4,2,2,2,4,3,2,3,3,3,3,3,2,4,3,3,2,3,2,5,3,4,2,2,2,4,2,3,2,2,3,3,3,4,2,3,4,3,2,3,2,7,5,3,4,3,4,7,3,4,4,2,4,5,2,4,2,2,1,2,2,3,4,4,2,7,4,3,4,1,1,3,1,2,3,2,4,4,4,4,4,4,5,2,3,2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