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4,1,3,3,1,3,2,2,1,3,2,2,2,1,3,2,0,2,2,2,4,2,2,2,2,2,4,3,2,2,2,2,1,3,2,1,3,2,3,1,3,2,1,3,2,2,3,4,3,2,1,3,1,3,2,2,3,3,2,2,2,2,2,1,3,2,2,2,2,1,3,1,2,2,2,2,3,3,1,3,2,1,1,1,3,1,3,2,2,1,3,2,2,2,2,2,3,4,1,3,2,2,1,3,2,2,2,2,2,1,2,3,2,2,2,2,2,2,2,2,2,2,1,2,3,1,3,3,3,2,2,2,2,2,2,2,2,3,2,2,1,2,3,2,1,1,1,2,2,2,2,2,2,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,2,2,2,2,3,2,2,2,2,2,2,5,3,3,3,3,3,2,2,2,2,2,2,2,3,3,2,2,2,2,3,3,2,4,3,3,1,3,4,2,4,3,3,1,1,1,5,3,2,3,3,2,3,2,4,2,4,2,4,4,4,3,3,2,3,3,3,4,4,3,3,3,6,5,4,4,5,4,4,4,5,5,5,4,6,5,4,5,7,4,6,4,4,5,6,5,7,3,5,3,6,5,5,4,6,5,4,5,3,5,4,5,4,4,5,6,7,4,5,5,4,5,5,5,4,5,5,4,6,4,5,6,5,5,4,6,5,4,6,5,4,7,6,8,6,6,7,6,7,7,5,11,7,7,6,8,7,7,6,6,7,7,7,6,8,5,6,7,8,6,8,5,9,7,3,4,5,4,4,5,4,5,6,6,4,6,6,5,5,6,6,5,6,6,6,6,6,5,6,8,8,7,6,7,7,7,7,9,7,6,6,7,6,6,8,4,8,6,8,5,7,4,6,5,5,7,5,6,5,7,5,3,5,5,6,9,7,7,6,6,5,7,6,7,6,5,4,5,6,5,6,6,6,5,6,6,6,4,4,6,7,6,6,7,5,4,7,6,5,5,6,6,4,5,5,4,5,5,5,4,4,5,2,4,6,4,6,7,5,7,5,8,6,6,6,6,5,5,6,6,3,7,6,5,5,4,4,4,5,3,3,6,5,6,6,6,7,4,5,5,8,5,6,5,5,5,4,5,5,5,5,3,5,4,3,5,5,4,5,4,6,5,5,6,6,5,5,5,6,6,4,5,5,7,6,6,6,4,7,6,4,6,6,6,5,5,5,6,5,6,3,7,9,4,5,7,6,6,6,6,5,6,5,6,6,7,7,4,6,5,5,6,5,5,6,5,7,5,4,6,6,5,6,7,6,5,5,6,5,4,6,4,5,5,5,5,4,3,5,5,5,5,5,4,6,5,5,5,4,5,5,6,6,6,5,4,4,2,4,3,4,4,4,4,6,4,4,4,4,5,4,5,6,5,4,5,4,4,4,7,7,6,7,7,7,6,5,5,5,6,7,5,7,5,7,5,5,6,5,4,7,4,5,5,7,6,4,8,6,3,6,6,6,5,5,5,5,5,4,6,4,4,6,6,5,5,6,6,5,5,6,5,5,5,5,4,6,5,5,5,6,5,4,5,5,6,6,5,6,5,6,5,5,4,5,6,4,4,6,5,5,4,5,6,5,5,5,4,5,4,4,7,4,5,4,5,6,4,5,5,5,4,5,5,5,6,4,5,4,5,4,6,4,4,4,5,3,6,4,6,5,5,4,6,5,5,4,5,4,5,5,5,5,4,3,6,6,5,5,7,5,5,6,5,3,4,4,6,4,5,4,5,5,5,4,5,5,4,4,6,5,5,5,5,3,5,5,5,5,4,4,5,5,4,5,3,7,5,4,4,6,5,4,4,5,3,5,5,5,3,4,5,4,5,4,5,4,6,4,5,5,5,5,5,5,5,5,4,4,5,5,5,5,3,5,5,5,5,4,5,5,4,5,5,5,5,4,5,4,4,5,5,6,5,4,5,5,5,5,3,4,3,4,6,5,4,5,5,4,5,4,6,5,5,4,4,6,4,5,4,4,6,5,4,4,6,4,5,3,5,8,6,5,5,4,5,5,5,5,5,5,5,5,4,5,5,4,5,4,6,4,5,4,6,5,5,4,5,5,4,6,5,5,4,4,3,7,5,5,4,7,7,8,7,8,7,7,7,8,7,6,6,8,7,6,6,7,6,8,4,10,6,5,4,7,8,8,7,6,9,7,6,8,7,7,7,8,7,9,8,7,7,8,7,6,7,7,8,7,7,6,7,8,7,7,9,7,8,6,6,8,8,7,8,7,7,7,9,7,7,9,7,6,8,7,6,7,5,7,7,6,8,5,8,8,6,7,8,9,7,7,7,7,7,7,7,9,7,4,7,7,7,9,6,8,7,6,5,7,7,6,7,6,8,5,5,5,6,8,5,6,7,7,9,6,6,7,7,7,7,7,7,7,5,7,7,8,10,8,6,6,7,8,8,9,7,7,8,7,7,9,6,7,6,8,6,9,7,6,7,8,8,4,8,7,6,10,7,6,6,8,6,9,7,7,6,6,7,5,7,7,7,5,8,6,7,7,6,5,8,7,6,6,8,8,7,7,7,5,7,7,8,7,7,7,6,6,7,4,6,7,8,7,6,6,7,8,6,6,8,5,9,9,7,7,6,8,7,7,6,6,7,6,7,6,8,6,7,7,7,9,6,7,6,8,5,8,6,7,9,8,6,8,7,6,7,6,7,6,8,5,8,8,7,7,7,6,8,7,6,8,6,8,7,7,7,7,6,6,7,9,6,7,7,6,8,5,7,7,6,6,9,8,6,8,6,7,7,7,8,7,7,6,6,7,8,8,6,6,7,7,8,8,6,6,7,7,7,6,9,7,6,6,8,7,7,8,6,6,6,7,6,7,6,7,6,6,6,6,6,6,6,5,7,5,7,6,9,7,10,8,8,7,7,8,6,5,6,5,6,8,7,7,6,5,6,6,7,8,6,6,6,6,6,5,6,6,6,6,6,6,7,7,6,7,7,6,6,7,7,7,6,8,6,7,7,9,7,7,7,7,6,7,9,7,6,8,7,7,7,9,7,7,7,7,7,8,7,5,8,7,7,6,8,8,7,7,6,7,6,7,8,5,7,7,6,6,6,8,7,6,7,7,7,5,8,7,7,7,7,6,8,10,7,9,6,8,7,7,6,9,7,5,7,8,7,8,7,7,7,6,7,8,7,9,7,6,6,8,7,9,9,8,7,7,5,9,7,7,7,7,5,8,6,10,7,7,6,7,4,7,7,6,6,7,7,5,7,8,8,7,6,6,5,7,6,6,7,7,6,6,7,6,6,7,6,8,6,9,7,8,7,7,6,7,8,9,7,8,7,5,8,8,7,7,8,7,7,7,6,7,8,7,7,7,6,8,8,7,5,6,8,5,6,6,6,8,7,7,7,7,8,7,7,6,7,6,7,7,5,7,5,5,6,8,6,6,6,6,6,5,7,7,8,8,8,7,7,7,8,8,7,7,5,8,7,7,9,6,6,8,8,6,10,7,8,7,7,6,8,7,6,8,7,7,7,7,9,7,7,7,7,7,6,7,7,7,6,8,7,9,6,7,7,6,6,6,6,6,6,7,6,6,7,6,7,6,6,6,6,5,7,7,6,6,5,7,6,6,6,6,6,7,7,7,7,7,7,6,8,7,7,7,8,7,7,7,6,7,6,8,6,7,6,6,6,7,6,8,6,6,8,7,8,7,9,6,7,9,7,7,7,6,7,7,7,7,7,7,7,7,7,7,7,6,9,7,7,8,6,8,8,10,8,10,8,10,8,10,9,9,9,9,8,9,8,11,9,10,9,8,9,10,9,11,9,9,9,7,11,9,8,9,8,9,10,7,9,9,9,9,9,9,8,10,10,9,7,9,6,6,8,5,9,6,4,8,7,7,8,6,7,7,7,7,9,7,7,8,7,7,6,6,8,6,7,7,7,7,7,7,8,8,8,6,5,7,8,6,7,7,6,7,7,8,7,6,7,7,7,7,8,7,7,7,7,7,6,8,8,8,7,6,7,7,7,7,7,7,6,8,7,7,7,7,7,6,8,7,7,6,7,7,7,7,8,7,8,6,7,7,7,7,7,9,6,6,7,7,6,7,7,8,7,6,6,7,7,7,6,5,8,7,8,5,6,6,7,6,7,8,6,6,7,7,5,7,7,7,5,8,9,8,7,5,7,7,6,7,6,8,6,9,6,7,7,7,5,6,8,8,7,7,7,4,7,7,6,7,9,5,8,5,9,7,7,6,7,7,7,6,7,6,8,7,6,6,7,6,6,6,6,6,5,7,6,5,7,6,6,7,6,5,5,10,8,8,6,9,8,7,8,8,7,10,9,9,9,9,7,8,9,9,7,7,7,7,7,9,10,10,9,9,6,10,10,9,7,9,8,9,9,9,8,8,9,11,7,9,9,9,9,7,10,9,9,9,9,8,8,9,7,9,7,7,7,7,8,7,6,6,9,6,7,6,6,7,6,9,8,8,8,6,8,7,9,7,8,8,8,7,8,8,8,8,9,9,9,10,10,10,9,9,8,9,10,9,9,9,9,9,9,9,11,9,9,9,9,9,10,9,9,8,9,8,9,10,10,9,9,9,9,10,11,10,9,8,10,10,9,11,10,11,8,11,10,10,10,11,10,9,10,10,9,11,10,10,9,10,10,10,11,10,9,10,10,10,11,10,11,10,10,11,9,8,11,10,11,9,11,10,11,16,8,9,11,10,9,9,11,10,9,9,10,8,10,11,10,9,10,9,7,10,9,9,8,9,7,9,8,9,9,10,9,8,8,8,9,9,10,8,7,9,9,11,9,8,9,10,8,9,12,10,9,10,8,9,9,10,9,9,9,8,8,9,10,9,9,11,11,11,12,11,9,12,11,13,12,12,10,11,11,10,11,11,11,11,11,9,11,11,11,11,11,11,11,11,9,10,10,11,10,10,10,11,11,9,10,9,10,10,8,9,10,9,11,10,10,9,7,10,9,9,9,9,10,9,10,11,10,10,8,6,10,10,12,10,8,10,9,9,8,10,10,9,9,9,9,6,12,10,9,9,10,7,12,8,8,9,8,9,7,8,8,6,8,7,7,8,8,9,8,8,7,8,7,9,9,7,7,7,8,8,7,9,8,6,8,8,9,8,9,7,8,7,9,6,7,7,8,8,8,7,7,6,6,9,6,7,7,8,7,7,8,7,8,8,7,9,7,7,10,9,6,8,8,9,8,10,8,7,9,8,9,8,6,7,7,9,8,8,8,6,6,8,8,8,10,8,7,5,9,8,7,10,9,8,8,6,9,8,9,9,9,6,8,8,8,9,8,6,8,7,8,8,10,8,8,7,8,8,8,8,7,7,7,6,8,8,9,8,8,7,8,7,9,9,7,7,9,8,8,9,10,8,9,8,7,8,8,8,7,9,8,7,8,8,8,8,9,8,8,8,9,9,7,9,8,8,7,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