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