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6,1,5,0,4,2,0,1,6,9,7,1,3,2,1,9,4,3,4,4,2,0,0,3,1,0,0,2,3,2,2,0,1,3,1,1,1,0,3,3,4,4,0,2,3,2,2,2,1,0,0,3,1,2,2,2,0,0,3,0,0,1,1,3,4,3,2,2,2,2,0,2,1,0,1,4,0,0,0,2,0,2,3,0,1,2,3,2,4,0,4,1,1,0,5,1,1,2,3,1,2,3,4,1,1,0,1,1,1,1,4,1,5,5,1,2,2,3,1,5,3,1,3,7,1,1,2,1,3,3,5,0,6,1,1,1,1,3,5,1,1,4,1,2,2,3,0,1,0,3,3,1,1,1,0,1,1,3,2,0,1,3,3,4,4,3,2,2,5,1,5,4,5,3,4,0,0,3,1,1,0,3,0,3,2,1,1,0,3,3,0,0,0,4,4,0,3,0,1,3,3,3,0,3,1,2,1,2,0,3,3,3,1,2,4,1,3,1,3,1,1,1,0,0,3,2,1,3,1,3,1,4,1,2,6,3,2,4,1,0,0,4,3,0,1,3,2,0,0,4,6,7,0,1,5,1,4,2,0,0,0,0,0,0,2,1,1,0,1,1,1,1,1,1,2,2,1,2,1,1,3,3,4,3,4,2,1,4,3,4,3,2,4,4,4,3,4,1,2,2,0,4,5,4,0,3,4,4,5,6,2,6,1,3,2,1,4,5,1,2,7,4,6,2,0,10,9,0,4,3,3,3,4,7,3,5,5,7,9,3,6,8,11,2,1,1,1,3,5,2,1,0,1,1,0,2,1,4,1,2,3,3,6,0,3,3,0,3,3,1,2,1,2,1,1,1,0,3,1,3,0,7,6,0,0,7,5,3,4,5,1,6,0,1,1,0,3,0,0,3,11,3,5,1,4,5,12,7,5,8,1,4,4,6,3,4,6,6,9,6,6,10,5,8,8,8,10,8,7,6,3,4,8,0,2,2,1,0,1,1,0,2,3,0,0,0,0,8,2,1,1,1,3,2,4,0,0,3,4,2,3,4,6,3,5,3,1,3,2,2,2,3,1,3,7,3,2,3,0,0,3,3,2,3,0,0,1,1,5,6,5,10,4,3,1,3,6,3,4,5,1,4,0,4,6,9,1,0,6,7,3,7,5,1,3,0,4,7,3,1,3,3,4,3,2,2,2,4,5,2,8,6,3,6,4,11,13,0,2,2,2,0,2,1,1,2,1,4,3,1,0,3,4,0,1,1,3,3,0,4,1,1,1,4,2,4,2,1,0,3,1,1,3,3,0,0,1,2,2,3,2,2,1,4,4,2,1,0,1,2,2,3,4,1,0,2,2,3,1,3,1,4,1,2,3,2,7,4,2,4,0,1,1,4,2,1,0,5,0,4,1,2,2,1,1,0,2,7,2,3,1,0,1,3,3,2,0,3,2,1,0,4,1,6,3,5,5,4,0,3,0,1,1,1,2,2,1,1,3,3,1,1,0,2,2,1,1,1,1,1,1,2,3,1,2,1,0,1,2,0,1,3,0,0,3,3,2,1,1,2,3,1,2,0,4,4,2,4,1,0,3,1,3,2,2,3,7,5,10,9,3,3,0,1,3,1,2,1,0,0,0,0,0,2,0,1,0,1,0,2,1,1,2,3,2,1,3,2,3,1,2,0,3,0,1,2,1,1,0,2,2,0,0,3,7,0,1,0,0,3,0,1,0,0,2,2,2,3,4,4,5,2,5,4,2,3,1,3,0,4,4,1,4,2,0,4,0,3,2,3,4,1,0,1,2,3,0,1,2,0,3,3,0,0,4,1,2,1,0,2,4,0,2,0,0,1,1,0,3,2,0,1,0,4,4,1,2,0,3,0,0,0,2,1,3,1,0,0,1,2,1,3,2,1,1,1,0,3,1,2,1,3,3,3,1,3,1,2,1,1,4,3,0,4,3,3,0,1,0,1,4,3,2,2,0,3,3,1,1,4,0,1,3,5,0,2,1,2,0,2,4,5,1,0,3,1,2,4,3,4,5,3,2,2,3,4,4,3,4,3,1,1,3,2,1,0,0,3,4,3,0,3,1,2,3,0,0,4,0,3,1,2,1,1,0,0,3,1,2,2,0,3,3,1,0,1,2,3,1,0,1,2,2,0,8,0,0,11,1,1,1,3,1,0,2,0,0,0,0,6,0,1,2,5,10,8,6,2,6,7,2,0,5,6,1,1,5,3,7,2,0,2,6,0,1,1,0,1,0,2,3,4,6,0,1,0,2,1,3,2,3,2,2,1,1,0,0,0,2,2,1,0,2,3,1,3,3,3,0,1,3,3,0,4,0,5,2,1,2,1,2,1,1,4,2,0,1,3,2,3,4,2,1,0,4,2,4,0,3,3,2,2,3,0,4,4,2,1,2,2,1,2,2,0,0,3,2,5,2,1,2,0,1,1,2,2,5,4,5,2,3,4,2,2,3,3,4,1,1,4,0,1,1,2,3,2,4,5,2,2,4,4,1,4,5,3,1,3,0,4,4,4,1,4,1,4,2,2,4,1,0,0,1,2,0,1,1,4,0,0,1,0,3,2,4,3,2,2,1,3,3,3,1,1,0,3,4,3,0,2,1,2,3,1,0,2,6,2,6,8,2,2,2,5,6,2,2,1,4,5,1,3,6,1,4,1,7,8,9,4,8,8,12,10,5,9,8,3,9,3,4,9,6,0,3,5,5,0,3,7,3,3,1,3,2,5,5,4,8,8,7,10,6,0,0,0,0,1,4,2,3,4,0,2,2,1,4,2,2,4,3,1,0,0,2,0,2,0,3,0,1,1,2,0,3,3,2,3,0,2,2,0,1,0,1,2,2,2,1,2,2,3,2,0,3,1,1,1,1,1,2,2,2,1,2,2,2,2,4,2,2,1,2,2,2,1,2,1,2,3,1,4,3,2,1,4,3,0,4,3,3,3,2,5,5,1,2,1,2,3,3,1,3,3,1,3,4,3,1,1,2,2,3,4,2,1,6,6,4,4,1,1,2,4,2,0,2,2,1,1,3,5,0,1,4,0,0,1,1,1,2,2,0,1,3,1,0,1,3,2,1,2,0,1,1,3,4,2,3,3,2,3,3,2,0,1,3,2,4,3,5,3,2,2,2,1,4,3,2,1,4,5,3,3,0,2,4,5,1,4,2,3,4,3,3,5,4,3,3,0,3,1,3,1,3,5,4,2,5,2,1,3,3,4,5,3,3,1,1,2,3,2,3,3,4,5,1,5,2,3,2,5,4,6,2,3,5,4,3,4,3,3,4,3,1,2,5,2,0,2,6,3,3,2,4,4,5,4,3,4,0,4,4,1,2,3,4,1,2,4,5,0,3,3,2,3,2,3,0,3,1,3,0,5,3,4,1,1,4,5,3,0,4,0,1,1,1,1,1,0,2,2,1,2,2,3,0,1,4,0,3,3,4,2,0,4,2,6,3,1,6,3,6,3,1,6,3,1,6,1,9,2,4,0,0,5,7,1,2,2,11,4,2,6,11,2,0,2,1,5,11,11,3,7,11,4,1,0,1,2,2,0,0,2,1,4,0,3,3,1,0,4,2,3,0,0,0,2,2,1,1,0,2,2,2,0,1,0,0,0,0,2,3,0,0,5,5,2,2,1,0,1,4,5,3,2,0,2,3,1,1,0,3,2,3,1,2,4,1,3,4,2,2,1,1,2,4,4,1,1,0,3,0,0,2,0,1,1,3,2,4,1,2,3,3,2,3,1,2,0,4,0,1,4,8,6,0,0,1,0,3,2,1,3,4,5,4,4,0,1,7,4,2,8,3,4,0,2,0,4,5,4,6,0,5,1,3,0,2,1,4,7,1,1,0,1,3,3,0,1,3,2,0,2,0,0,0,4,2,5,3,1,4,5,1,3,1,2,0,2,3,4,0,1,3,2,3,4,0,5,3,2,1,1,5,0,2,3,1,3,5,0,1,5,1,2,5,2,5,2,0,0,2,4,0,4,7,2,1,3,2,6,2,4,3,2,4,5,3,2,6,8,2,6,4,4,4,5,3,4,5,5,0,8,3,4,5,4,3,3,3,1,2,4,0,4,5,2,0,1,1,0,3,1,3,2,2,7,3,4,2,2,4,4,0,3,4,2,3,2,1,0,2,1,2,2,4,1,2,2,2,1,4,5,0,1,0,5,2,4,3,2,2,4,3,3,4,5,0,4,4,4,4,0,1,4,5,1,1,5,3,3,3,0,0,0,0,3,3,1,0,2,1,4,2,3,1,3,4,0,2,0,4,0,1,1,0,1,0,3,1,1,2,2,2,3,1,1,3,0,1,4,1,1,2,1,2,1,1,2,2,1,0,0,1,0,0,1,1,1,0,2,2,1,3,1,3,2,3,3,1,1,3,2,0,0,2,0,1,1,1,1,0,1,0,1,0,2,0,2,1,1,0,1,0,1,0,1,0,1,1,1,0,2,3,0,2,1,0,2,2,2,3,0,3,3,0,1,2,1,0,3,3,1,0,0,2,1,4,2,0,1,0,2,2,0,3,3,1,1,1,3,4,3,3,2,1,2,1,3,1,1,3,1,0,2,1,0,1,1,0,1,0,0,2,0,0,3,1,2,2,3,1,0,1,1,2,2,1,3,4,1,0,2,2,2,1,3,5,3,4,4,3,5,4,1,0,3,0,0,4,1,1,2,4,1,0,1,1,2,1,3,1,4,1,3,1,2,2,5,1,2,3,1,0,0,1,1,3,0,0,3,0,1,0,0,0,3,1,2,2,3,1,3,2,2,3,2,4,1,1,3,3,1,2,1,4,2,1,2,2,1,0,2,0,1,0,3,1,2,11,3,11,3,2,10,12,2,1,0,5,6,0,4,6,6,5,6,7,9,0,3,12,11,9,2,0,3,3,0,2,1,2,1,4,3,2,2,0,0,3,0,0,2,3,2,2,0,3,0,0,0,3,1,3,0,0,1,1,2,2,0,3,3,1,0,3,2,1,3,0,3,2,1,2,1,2,3,0,0,0,0,1,3,2,2,1,2,2,2,1,0,1,0,1,2,1,2,1,1,1,3,0,0,0,3,2,1,2,4,3,0,1,3,0,3,1,0,0,3,0,3,2,1,0,2,6,0,0,1,3,3,2,0,3,2,1,0,1,1,0,0,3,1,0,2,1,0,1,2,1,2,2,1,2,2,1,3,2,0,1,1,5,3,3,2,5,3,3,1,2,3,1,0,2,2,4,1,4,4,3,1,3,1,2,2,3,1,1,1,3,3,3,3,3,4,2,1,3,2,2,1,3,3,1,1,1,0,2,0,0,3,3,3,3,2,2,2,3,0,0,1,0,1,0,3,1,0,0,0,0,3,1,1,0,1,1,0,4,1,1,2,2,0,1,2,1,1,0,1,1,1,0,2,2,3,2,0,0,3,1,2,1,3,0,1,0,1,0,2,0,1,3,1,2,1,3,3,0,3,1,1,0,3,0,2,1,1,2,0,2,2,3,2,1,2,0,1,1,2,2,1,3,2,0,3,2,3,5,2,1,3,2,2,1,2,3,1,3,1,2,2,0,3,1,4,0,2,2,3,0,3,2,1,1,2,1,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3,6,3,1,7,3,1,3,1,2,1,0,0,3,3,3,0,4,1,1,0,1,1,0,3,2,1,3,7,3,8,2,2,3,1,4,7,1,0,1,0,2,0,3,2,3,2,6,2,2,2,5,4,3,5,2,5,3,6,2,8,6,7,1,0,7,1,4,4,2,1,11,8,1,1,3,12,4,12,0,2,3,7,3,6,6,7,10,12,5,2,1,3,1,1,2,3,3,1,2,1,1,3,0,3,0,1,3,0,2,3,0,0,0,0,3,1,1,1,0,8,5,1,9,5,9,5,12,9,8,10,1,0,3,1,1,4,3,1,3,7,7,8,5,8,7,5,8,7,2,8,11,9,5,5,3,8,8,0,1,1,0,4,0,1,2,6,1,0,1,3,3,3,5,0,3,0,1,2,2,2,4,2,9,0,0,1,0,3,5,3,7,3,8,5,3,4,6,2,2,1,8,2,1,0,1,7,0,2,2,1,3,1,3,1,6,5,5,2,7,3,4,1,4,5,2,2,7,6,10,14,0,1,2,2,1,4,3,0,3,0,3,1,1,2,3,0,1,0,1,0,6,0,2,5,0,0,3,0,4,1,1,2,0,1,4,2,5,0,1,3,0,1,0,0,1,1,3,3,5,2,1,3,2,2,5,3,0,1,3,0,5,0,2,1,0,0,0,1,6,2,2,3,0,2,0,2,3,0,2,3,3,2,2,2,0,3,3,3,1,11,4,3,5,5,13,2,5,9,6,9,4,1,8,0,1,0,0,0,1,2,3,0,0,0,0,3,1,0,0,2,3,3,3,1,2,0,1,5,0,3,1,0,1,3,1,3,4,3,6,1,5,5,5,1,1,0,1,1,0,3,3,1,0,3,2,3,0,2,1,1,5,2,1,1,2,2,1,1,0,0,2,1,0,1,1,1,1,2,3,2,0,5,4,0,2,4,2,0,0,2,2,1,2,2,1,2,3,1,5,2,2,3,5,0,5,3,1,1,3,1,2,4,5,1,5,2,0,2,2,4,4,2,2,3,1,0,3,4,2,3,4,0,2,2,5,2,2,2,5,4,1,3,0,2,3,3,0,5,0,2,1,0,4,3,3,1,1,2,3,0,5,3,12,11,0,11,5,7,3,0,2,0,1,5,0,1,0,3,0,0,2,2,0,0,1,2,1,2,0,4,0,0,0,1,6,2,2,1,4,1,0,0,0,0,3,3,0,1,2,0,1,1,2,2,1,1,1,2,1,2,1,1,3,3,4,5,3,2,2,2,2,1,1,3,1,4,1,0,1,3,4,3,3,2,0,3,1,5,0,4,5,4,4,4,4,3,5,4,1,5,0,4,4,0,2,1,4,2,4,2,1,4,2,1,3,3,3,3,0,3,3,2,0,1,1,0,0,1,2,2,1,1,1,1,3,5,1,0,2,2,1,1,1,1,1,2,0,1,3,1,3,0,2,0,0,1,3,4,6,0,9,1,7,8,3,7,6,5,6,10,4,1,2,1,2,2,1,3,1,3,6,5,7,1,0,1,3,2,3,2,0,0,1,2,3,2,1,2,1,3,3,3,1,3,3,2,3,2,0,1,1,3,3,1,3,2,2,2,0,2,0,0,0,2,2,1,2,0,0,3,2,3,3,0,1,3,0,3,5,1,0,0,1,2,1,3,2,2,3,1,2,2,3,1,2,2,1,3,2,5,5,0,0,4,5,0,0,1,0,0,2,0,2,0,1,2,1,4,4,0,1,0,1,1,4,0,1,2,1,1,1,2,3,2,1,0,3,1,0,2,2,1,3,4,3,1,4,2,5,1,2,2,4,5,0,4,2,3,3,2,1,4,3,5,2,3,1,0,4,2,4,3,3,2,6,2,3,0,4,5,2,2,1,3,1,4,4,1,4,4,2,2,4,4,1,3,3,5,5,1,4,0,5,5,0,5,1,2,1,5,4,5,1,5,6,4,3,1,2,1,2,4,3,2,4,3,4,5,1,3,4,2,3,4,1,5,5,1,3,3,3,3,1,5,5,2,4,4,5,3,5,4,4,4,2,0,0,1,0,3,1,3,2,0,0,3,3,3,2,4,4,1,2,4,6,6,2,5,1,6,5,10,2,5,6,1,3,4,2,3,3,11,7,8,10,2,3,12,11,4,6,2,2,1,2,1,2,1,1,1,2,2,2,2,1,3,3,1,3,3,2,0,5,1,3,1,1,3,2,1,2,4,0,0,0,1,0,1,1,1,1,1,1,2,1,2,0,1,1,1,3,3,5,0,1,1,2,4,4,2,4,3,3,3,3,4,2,2,4,0,2,4,4,3,3,4,2,0,3,1,1,2,1,0,1,2,2,3,2,1,1,3,8,0,0,2,1,0,2,0,4,3,3,2,3,6,4,0,1,1,3,0,4,1,1,2,0,1,2,2,5,4,0,3,0,0,0,0,1,2,3,4,1,3,1,4,5,2,0,4,3,2,2,5,1,3,4,4,3,1,1,0,2,0,3,7,5,1,2,3,1,3,3,1,1,3,5,4,5,4,4,7,2,2,4,5,4,2,3,1,3,6,7,5,6,3,0,1,2,4,5,5,4,4,6,4,2,4,1,3,3,1,3,4,4,4,5,1,2,2,3,2,1,1,3,3,3,6,2,6,0,2,0,3,2,4,3,4,4,3,4,2,5,3,0,1,4,1,0,0,2,0,3,2,0,0,2,2,2,1,0,2,0,1,2,5,1,1,0,0,1,0,2,1,3,1,0,1,3,2,2,2,3,2,3,0,2,3,2,0,1,3,1,2,1,2,1,2,2,1,0,0,1,0,0,0,0,1,0,1,0,2,2,3,1,1,0,3,2,3,1,3,2,1,1,5,2,0,3,0,0,3,3,1,3,0,2,3,0,2,1,0,0,1,2,2,3,3,2,0,1,0,0,0,2,1,3,2,0,1,1,3,3,3,1,1,0,2,3,3,3,3,1,1,2,3,2,2,2,2,0,4,3,0,3,0,3,3,2,1,1,1,3,1,3,2,1,3,0,5,3,0,2,3,3,1,1,5,1,3,1,2,0,1,1,3,2,4,2,1,2,4,1,4,10,3,2,5,1,4,2,5,3,10,3,11,2,8,10,2,13,1,2,1,2,3,0,3,2,2,2,2,1,1,3,3,3,1,1,1,3,2,1,2,3,1,0,3,1,1,2,2,0,1,1,3,2,1,0,3,1,2,3,2,0,1,3,1,0,2,3,3,2,1,5,3,2,1,2,1,1,0,3,3,0,2,3,0,3,2,1,2,3,1,2,1,0,0,3,1,1,2,3,2,0,0,0,1,3,0,1,3,1,4,2,0,3,0,4,1,1,1,1,2,0,1,2,1,1,1,1,3,2,3,1,2,2,3,1,4,3,2,1,3,3,3,2,4,2,2,1,3,1,5,4,1,1,1,0,0,0,3,1,4,1,1,2,1,4,0,3,1,2,1,1,3,1,3,3,2,2,1,0,0,2,2,2,1,0,0,0,1,1,1,1,2,2,3,1,2,1,3,2,2,2,0,0,2,3,1,3,1,2,0,0,0,1,3,0,1,1,0,1,2,1,1,2,1,3,2,0,1,1,1,2,2,3,1,0,3,1,3,1,1,2,1,0,2,1,3,3,2,3,0,2,1,3,0,2,2,1,0,3,0,1,2,3,0,2,3,3,3,0,3,2,3,1,1,2,2,4,0,4,0,0,3,2,2,3,3,3,2,2,1,1,1,0,2,0,0,2,1,3,1,2,2,2,1,0,3,0,2,3,1,1,2,0,1,2,3,3,3,1,3,2,3,3,1,2,0,2,0,2,3,4,3,0,1,3,0,0,3,0,3,2,2,1,0,0,3,1,2,2,3,2,3,1,0,2,2,2,0,1,3,2,1,8,3,2,0,7,4,4,9,9,2,7,2,7,1,6,6,2,10,7,4,7,9,10,3,1,1,2,0,4,1,1,1,3,1,1,1,1,2,2,4,2,2,3,0,3,4,2,0,0,2,1,1,0,0,0,1,3,3,3,2,0,3,2,4,2,3,3,4,1,2,2,3,2,2,3,2,3,1,4,0,0,1,0,1,3,2,0,2,0,3,3,3,3,1,0,3,0,1,2,0,3,0,3,1,0,2,0,0,1,0,1,3,2,3,2,3,2,1,5,3,1,4,2,2,0,4,3,5,0,4,3,5,1,0,3,5,2,3,2,3,3,5,2,0,2,0,1,0,0,0,1,1,1,0,1,3,3,3,2,3,4,2,2,2,2,2,2,6,2,0,3,3,1,5,2,1,0,1,1,1,2,0,1,2,1,0,0,2,3,7,3,2,3,1,3,0,2,2,2,0,6,3,0,3,1,0,0,0,1,1,0,0,0,3,2,1,1,1,2,2,5,1,5,0,3,0,5,5,1,3,9,3,8,3,4,2,2,2,0,6,3,9,10,3,1,1,3,0,1,1,1,2,2,1,2,1,3,2,2,1,4,3,0,3,1,3,1,1,3,2,3,5,1,3,2,6,4,5,5,7,1,6,3,5,4,2,3,5,0,2,0,9,1,9,2,2,10,0,7,4,10,2,3,2,5,2,6,1,0,1,7,6,9,6,12,12,1,0,1,1,4,1,3,2,3,1,3,1,1,0,1,2,3,6,3,0,1,5,4,1,0,3,2,2,3,3,4,8,7,3,6,7,0,2,0,2,0,3,2,0,5,3,2,2,3,0,0,0,6,0,2,5,6,1,1,3,1,4,2,5,5,0,5,5,3,5,6,7,9,9,4,6,2,2,1,1,1,2,2,1,2,3,1,1,2,3,4,0,3,1,0,3,2,0,2,3,2,3,2,2,9,1,1,1,2,2,6,4,2,1,0,5,3,5,3,4,4,1,3,1,3,3,4,3,1,6,7,1,8,5,3,2,3,7,2,1,4,3,7,3,6,1,1,2,3,3,1,3,1,1,2,4,0,5,3,8,10,8,14,5,0,2,3,0,2,2,1,2,0,3,1,1,3,1,1,1,1,1,1,3,0,5,1,2,2,4,3,2,2,3,1,1,1,1,0,1,2,2,3,0,1,2,1,0,0,5,1,4,1,3,2,2,4,4,0,5,2,2,1,1,3,0,4,1,0,5,0,5,0,2,2,2,0,5,2,5,2,6,3,2,1,0,1,1,2,1,5,2,2,6,3,1,5,4,3,4,2,1,1,1,3,1,1,0,1,1,0,1,0,0,0,1,1,2,0,0,0,3,1,3,4,2,3,2,3,1,1,2,2,2,1,2,0,1,2,4,5,3,3,12,0,3,8,7,8,2,1,1,5,8,6,1,5,1,9,2,1,3,1,2,0,2,2,1,0,0,2,2,3,3,2,3,0,1,5,2,1,1,2,2,4,2,3,0,2,1,2,6,0,1,3,2,3,2,1,0,3,2,5,4,3,0,1,5,4,0,2,2,1,1,5,0,1,0,2,1,1,0,3,0,2,2,3,2,1,1,0,0,0,0,2,1,0,1,2,1,0,0,3,2,1,3,0,0,0,0,1,1,0,0,2,3,1,1,3,3,3,1,2,0,4,2,3,1,3,2,4,1,1,0,0,4,1,5,3,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3,3,1,1,2,3,2,2,0,2,0,3,2,3,4,6,0,0,3,1,2,0,0,4,2,0,3,1,1,1,2,2,3,1,1,1,0,2,1,3,2,2,1,0,1,3,5,1,1,3,3,1,1,2,1,4,2,2,3,3,0,1,2,0,2,3,3,2,0,1,2,4,2,1,0,4,1,3,1,2,0,0,0,2,1,1,0,2,2,0,4,3,0,3,3,1,0,2,1,2,1,2,3,4,1,2,3,0,3,2,2,2,0,1,1,2,3,3,2,2,1,1,0,3,3,3,2,3,2,0,1,3,0,2,3,1,3,3,1,1,1,0,1,3,3,0,3,3,2,1,0,0,1,2,2,1,1,0,2,3,3,0,1,3,0,0,2,2,2,3,1,2,1,2,1,2,2,2,1,0,2,1,1,0,3,3,1,1,3,1,2,0,1,0,1,1,2,1,0,1,0,1,3,2,1,2,1,1,2,3,0,2,2,3,2,2,1,2,2,3,4,2,2,1,4,3,3,2,0,2,3,0,2,2,2,2,0,3,4,4,2,2,0,3,4,2,0,1,2,0,1,0,0,2,1,0,1,0,0,1,1,1,2,2,1,0,0,1,0,0,1,3,1,3,2,0,1,2,1,1,3,1,1,2,2,1,1,0,2,1,3,1,3,1,0,2,4,2,3,2,2,2,3,2,1,0,1,0,0,1,2,2,1,0,2,2,3,3,1,3,0,3,3,3,1,4,8,3,5,2,1,2,6,8,5,1,1,4,1,3,3,3,2,2,4,4,4,5,4,4,3,3,6,5,7,7,8,8,6,8,7,6,2,11,6,2,0,0,1,2,0,0,1,0,3,3,0,2,2,2,2,4,2,2,3,1,1,1,4,1,3,1,0,2,1,1,4,1,1,1,0,1,4,1,0,0,2,3,2,0,3,0,3,4,2,2,2,1,2,2,0,1,0,4,3,2,2,2,0,1,0,0,0,0,0,0,1,3,0,3,1,3,0,2,0,1,1,2,2,3,2,3,2,3,1,3,2,2,2,3,1,0,1,0,2,4,2,2,0,0,5,3,1,3,0,0,1,2,1,0,1,4,5,5,2,2,4,3,1,4,3,2,1,2,4,1,0,5,1,2,2,4,1,1,2,1,2,2,2,0,0,3,0,0,2,0,1,2,2,4,2,3,5,3,2,4,7,8,0,0,3,2,1,0,3,1,0,1,1,0,2,3,1,1,0,1,1,1,2,3,2,0,3,1,3,2,2,0,0,0,0,2,0,0,1,2,0,1,2,1,4,6,1,1,2,2,1,8,3,6,3,2,4,1,1,4,1,2,1,3,3,4,2,3,2,2,4,4,2,3,5,4,5,5,4,3,1,3,3,7,7,0,7,4,7,6,0,3,2,9,3,9,8,2,1,8,4,1,1,1,3,2,4,3,3,4,5,3,2,5,12,3,10,0,2,0,2,4,1,3,2,2,2,2,2,5,2,3,2,2,2,1,4,0,5,2,2,4,1,2,3,2,1,8,2,2,0,1,3,0,2,13,4,1,5,0,4,2,2,6,9,0,0,9,8,4,8,2,3,1,4,0,5,0,2,5,2,4,2,3,5,6,5,7,5,3,2,3,2,2,2,3,3,4,1,1,5,2,9,3,1,9,9,5,11,8,7,4,6,8,9,9,2,5,5,4,3,5,0,1,0,0,1,3,2,1,2,1,0,6,1,2,2,3,0,2,3,1,1,1,2,2,0,2,1,1,2,2,4,3,5,1,1,8,1,5,1,3,8,1,7,5,1,1,7,7,6,2,7,1,4,4,2,0,1,2,2,3,1,2,1,2,3,2,2,3,1,4,4,2,7,3,2,2,1,7,2,3,5,14,11,13,3,6,3,0,1,2,4,0,3,1,3,3,0,0,1,1,2,2,1,4,3,1,2,3,3,4,0,0,4,2,0,2,3,0,2,4,0,3,0,0,1,2,3,1,1,5,1,2,2,0,2,1,2,2,2,1,2,0,4,1,1,1,3,2,5,0,3,2,0,2,0,3,3,3,5,0,1,4,2,1,0,3,1,4,0,3,2,1,6,5,2,4,1,4,3,6,4,2,2,1,3,2,3,4,1,2,3,2,4,3,2,2,0,1,3,3,0,0,2,1,2,1,0,3,2,3,3,0,1,0,1,1,2,0,1,0,3,3,1,1,1,2,3,2,2,3,2,2,1,1,0,2,2,1,2,1,2,11,1,2,1,3,3,2,2,5,5,1,5,2,7,5,4,4,1,3,3,1,2,2,5,1,1,11,3,8,6,1,3,10,7,1,9,7,1,2,0,2,1,2,0,2,0,3,2,0,2,3,0,3,1,1,2,0,2,1,2,0,2,3,3,1,3,3,1,0,0,0,0,1,2,2,1,3,3,3,3,2,3,0,3,3,3,2,4,2,3,2,2,4,3,5,4,3,2,6,1,4,2,2,3,1,3,5,2,0,2,0,0,2,2,2,3,2,0,0,3,2,1,1,1,2,2,2,2,0,2,2,3,0,1,1,0,1,4,2,0,0,0,0,2,2,2,2,1,0,2,3,3,0,1,1,4,0,3,4,1,1,3,2,0,4,4,1,2,3,4,1,2,4,4,3,4,3,4,2,1,1,4,0,1,4,2,0,4,5,3,1,3,1,2,4,3,2,4,3,1,0,1,3,1,3,1,6,4,5,2,2,3,2,2,1,3,1,0,3,4,5,1,3,4,1,2,1,1,5,6,0,3,1,3,4,1,3,0,1,2,3,1,1,3,2,0,4,5,0,2,3,2,3,4,0,0,1,0,3,2,0,2,7,1,2,2,6,2,2,2,1,1,5,5,8,1,3,0,0,6,0,1,4,2,1,2,0,3,1,5,0,7,4,1,0,6,1,2,3,2,3,3,2,0,0,1,3,0,1,0,3,4,0,0,5,0,0,3,2,2,3,1,0,3,1,0,1,2,1,0,1,2,1,2,2,0,2,2,0,2,4,1,1,3,2,0,4,4,3,2,3,1,1,3,4,1,0,5,2,3,2,4,0,1,1,1,4,4,0,1,4,0,2,2,2,1,4,3,3,1,3,0,3,4,1,3,3,1,4,2,5,4,2,4,0,2,1,1,1,4,3,4,1,0,0,1,7,4,4,1,0,0,1,0,4,1,4,2,2,2,4,0,0,6,3,3,3,6,2,2,2,3,2,1,4,4,1,2,2,1,2,1,2,1,2,1,4,2,0,3,1,3,3,3,2,3,1,1,3,1,2,4,2,0,7,4,7,0,2,5,2,1,6,1,4,0,2,0,2,0,1,0,6,3,8,5,2,9,1,10,3,3,2,5,5,6,8,6,6,3,6,8,8,6,9,0,0,0,4,6,3,8,1,11,3,11,0,10,7,4,2,2,3,2,1,3,4,5,0,5,0,4,2,6,8,8,3,1,1,2,1,1,4,0,0,1,1,1,2,1,0,0,3,3,3,0,0,2,0,0,2,1,0,2,0,1,0,0,3,0,1,1,0,2,1,2,2,1,5,2,3,4,1,1,1,3,2,0,0,3,0,3,0,1,0,1,2,2,2,1,3,2,0,3,0,0,0,2,0,3,1,4,5,2,5,5,0,0,0,1,0,0,1,1,3,1,1,4,0,2,3,1,4,2,4,2,3,4,4,1,1,2,5,4,4,4,4,5,4,5,4,3,3,1,2,0,4,5,1,0,3,1,3,5,0,1,0,1,1,0,0,4,0,1,2,1,1,3,5,1,4,2,0,1,0,2,2,4,2,3,4,1,0,2,1,5,1,3,2,2,4,3,0,0,5,4,0,3,4,5,4,3,4,4,4,4,3,3,1,1,3,1,5,3,0,5,1,1,3,3,1,3,4,0,5,4,4,3,2,3,4,2,3,1,1,3,4,3,2,2,3,1,1,1,4,3,0,2,0,2,4,5,2,0,5,0,2,4,5,3,3,3,1,2,0,4,2,2,1,2,3,4,2,3,4,4,2,2,2,4,4,4,1,2,2,2,1,3,2,1,3,2,4,3,4,5,1,1,0,1,1,3,2,1,4,3,3,2,1,1,3,1,1,4,1,1,7,0,3,2,6,5,2,3,11,7,0,5,2,2,1,1,2,6,1,10,3,7,4,9,9,3,11,7,1,15,7,14,13,2,6,7,2,1,1,3,0,4,4,2,0,0,0,2,1,2,2,3,3,3,3,2,2,3,3,5,2,2,0,1,2,3,4,2,3,0,1,3,2,0,0,2,0,0,3,1,1,1,1,2,1,1,1,3,1,0,1,2,2,3,3,3,3,1,1,2,1,3,2,2,3,3,4,2,4,2,3,2,4,4,4,1,4,1,5,2,1,1,3,4,4,2,2,4,1,6,3,5,7,5,2,5,1,0,2,1,2,0,1,2,7,1,5,2,1,4,1,1,0,3,1,0,1,1,4,3,0,3,5,3,6,1,5,3,3,2,4,0,0,1,3,0,6,2,2,2,4,1,3,5,1,0,2,3,5,3,0,1,4,3,3,6,4,1,3,2,5,4,2,5,3,6,1,3,8,2,0,2,3,2,4,4,4,3,3,4,4,2,3,3,2,7,3,3,8,5,6,0,4,1,1,5,0,5,2,1,3,2,4,6,1,0,7,2,3,2,7,2,2,5,0,0,1,2,3,0,1,4,1,1,4,2,3,0,3,4,4,1,1,4,1,4,1,2,7,3,3,4,1,4,3,0,2,0,0,1,0,1,0,1,0,0,0,1,0,3,1,3,3,1,1,2,1,2,1,2,2,1,2,0,3,3,1,2,0,1,2,1,0,3,1,1,3,1,0,2,0,2,0,1,2,1,1,0,1,1,0,3,2,2,2,1,1,1,1,3,2,2,3,2,3,1,1,2,1,2,2,0,3,3,1,1,2,2,2,2,0,2,3,3,3,1,0,3,0,5,2,0,1,1,0,2,0,5,2,3,0,1,0,0,1,0,1,0,3,3,0,3,2,2,0,2,2,2,2,0,2,2,3,0,0,3,0,3,2,2,1,2,4,4,2,0,3,1,2,0,3,1,3,1,3,0,3,3,2,1,1,0,1,3,1,3,0,3,2,1,2,3,1,2,4,1,1,2,3,1,2,1,1,1,3,2,3,0,1,0,1,3,2,3,3,3,2,2,1,1,1,1,3,1,1,2,0,2,1,0,0,1,1,5,3,1,1,2,2,1,0,1,2,1,1,4,1,1,0,0,2,1,2,0,2,3,0,1,4,3,3,2,7,2,7,0,8,3,1,5,8,0,3,8,6,6,11,2,2,12,12,1,2,3,0,0,3,2,0,2,2,3,4,1,2,1,2,4,2,0,5,1,1,1,0,4,0,0,0,0,3,1,2,0,0,0,0,1,1,2,0,2,1,1,2,3,0,2,2,0,0,3,0,0,0,0,1,1,1,2,1,0,3,0,0,0,3,1,0,3,2,1,3,0,0,0,2,3,3,1,1,1,2,1,4,3,3,2,1,2,1,3,2,4,3,2,2,3,2,3,0,3,2,3,3,0,1,2,3,2,3,0,7,1,0,1,3,1,3,2,0,4,2,4,1,4,5,0,8,1,3,2,1,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10,9,13,12,1,5,7,11,13,5,6,9,1,1,2,4,1,2,1,4,3,4,3,4,3,4,6,1,0,1,1,1,4,2,3,3,1,0,1,2,2,4,1,2,3,1,2,1,3,2,2,2,1,3,3,3,2,2,2,1,3,2,0,2,4,0,1,0,2,1,1,4,1,0,1,3,0,1,2,3,0,1,1,1,2,2,2,2,3,2,2,0,1,3,2,4,3,3,2,3,1,1,2,0,2,2,0,0,0,4,2,3,4,0,4,3,2,4,4,5,3,3,2,5,0,0,3,5,0,0,0,0,0,1,1,1,1,3,0,0,3,4,1,0,1,0,6,0,2,1,5,2,1,0,4,3,5,2,0,1,2,3,1,4,4,2,3,3,2,4,4,5,2,2,1,5,3,2,4,4,4,1,2,4,1,5,2,3,2,2,0,4,4,4,2,3,4,3,4,4,3,3,3,0,6,3,3,1,1,1,4,3,3,4,4,3,5,3,3,3,2,4,3,3,5,2,4,4,5,4,2,1,4,1,0,2,5,1,2,2,4,0,4,4,4,1,2,3,1,6,1,4,5,3,2,2,1,5,4,3,5,2,0,0,2,3,1,3,0,2,3,1,3,4,1,1,1,3,4,12,3,5,0,4,1,0,7,9,1,4,3,2,3,8,2,3,4,3,8,3,2,0,7,1,9,1,9,11,6,7,2,9,6,1,12,4,7,2,12,11,8,3,3,0,0,0,2,1,0,1,0,0,0,0,0,1,4,2,1,3,3,2,0,4,3,0,3,3,0,0,3,0,3,6,1,3,3,1,1,2,3,4,2,1,4,1,4,1,4,1,2,3,3,3,4,2,3,4,6,1,5,2,5,6,1,0,2,6,2,1,0,1,1,5,0,3,0,5,4,3,8,3,6,1,0,0,6,1,0,2,0,7,5,0,3,3,4,1,3,3,7,1,5,1,1,4,0,3,0,5,0,0,3,1,3,1,1,4,6,5,0,1,0,1,1,3,3,4,1,1,2,1,4,4,2,4,5,3,3,4,5,1,4,5,4,0,1,2,3,2,2,4,2,2,3,5,5,3,4,7,2,4,4,1,6,2,1,7,2,0,0,4,2,3,0,3,4,4,4,4,4,1,4,4,1,0,3,0,1,3,1,2,3,3,0,0,1,1,2,1,5,4,8,2,1,1,2,3,1,1,4,7,2,1,4,4,3,2,1,1,2,4,1,5,4,4,2,3,0,3,1,0,3,4,3,1,2,2,2,2,2,1,1,1,1,2,1,2,2,1,2,1,1,4,3,0,2,0,1,1,0,3,0,0,3,0,0,2,3,1,3,0,0,0,2,2,3,1,3,2,0,3,2,2,0,0,0,3,0,1,5,1,2,2,1,3,0,0,1,0,0,2,0,2,3,2,2,3,2,2,2,0,2,2,3,1,3,2,1,2,3,1,2,3,2,3,0,3,1,2,2,2,2,0,3,3,0,1,1,0,3,2,1,1,1,2,1,2,1,3,1,0,1,1,2,3,0,1,2,2,1,1,1,2,2,4,3,2,4,4,3,2,2,3,3,0,3,1,1,0,2,4,0,2,1,1,4,1,0,4,3,3,2,4,0,2,0,1,2,4,3,1,1,0,0,3,0,3,0,0,2,2,0,2,4,2,1,3,2,1,2,2,3,0,2,0,2,3,1,0,2,4,4,0,3,5,1,2,2,2,1,0,1,3,0,1,5,11,3,6,2,2,5,2,6,3,2,6,10,12,11,12,1,4,2,4,3,1,1,2,4,3,1,3,0,0,3,1,4,2,0,1,3,1,0,2,1,4,3,0,0,0,2,0,1,3,1,9,0,1,0,1,1,0,0,0,0,1,0,0,2,0,1,2,0,1,1,3,0,0,3,0,3,3,3,2,1,10,0,1,3,4,3,0,3,1,5,0,0,2,0,1,2,1,3,3,0,1,4,2,1,1,3,1,4,1,3,2,2,4,1,2,3,2,1,1,0,0,5,2,0,4,0,1,3,3,5,2,6,3,4,0,2,4,0,1,1,2,2,4,2,1,1,2,1,1,3,1,2,1,0,3,2,2,0,3,3,3,3,1,2,1,2,3,3,2,0,1,0,0,3,0,1,1,3,0,0,2,1,1,1,1,2,2,0,1,3,3,1,1,0,2,2,2,1,2,0,4,2,2,3,3,3,1,0,2,1,2,1,1,3,2,1,2,2,1,2,0,3,3,1,0,0,0,0,1,1,1,3,0,1,1,1,0,3,3,1,0,3,0,1,0,4,1,3,3,0,2,2,1,2,3,2,0,2,1,1,3,2,0,0,3,3,1,1,3,3,3,3,4,2,2,3,1,3,0,4,2,1,1,1,3,2,0,1,0,2,2,3,3,1,3,1,1,2,3,2,2,3,3,3,2,2,3,3,3,3,1,2,1,0,1,1,3,0,1,0,0,0,1,2,0,0,2,1,3,1,2,1,1,2,2,2,3,0,3,0,1,3,2,1,3,2,2,2,3,2,1,3,1,2,2,0,3,3,0,1,0,4,2,0,1,1,0,3,2,2,0,3,2,3,4,3,3,1,1,8,1,1,0,1,1,7,4,3,2,0,0,0,4,5,3,3,7,3,6,9,0,6,6,8,6,5,4,3,0,4,0,0,2,2,4,1,1,2,1,3,3,4,1,1,3,0,3,2,3,2,0,2,3,1,3,1,3,2,1,0,4,0,2,1,0,2,2,1,3,3,3,2,2,0,0,1,0,3,3,1,2,1,1,1,3,3,3,2,1,1,3,4,1,2,5,2,1,2,3,0,1,2,0,3,3,0,2,2,2,5,2,5,2,7,4,2,1,5,3,4,2,4,5,3,2,5,2,5,2,1,4,0,3,1,0,5,2,4,2,1,0,3,0,1,1,2,1,2,2,3,3,0,1,1,1,3,0,0,2,0,0,3,7,2,0,6,2,1,1,6,13,1,4,3,5,0,0,1,2,0,0,1,0,0,0,0,1,1,0,3,1,2,1,2,1,1,0,0,3,3,2,0,0,3,2,3,1,3,3,3,3,8,1,2,2,0,2,0,3,1,1,4,3,1,3,6,4,3,0,1,7,10,1,1,11,11,4,5,3,10,8,12,2,0,2,1,1,0,1,1,1,1,1,0,1,0,3,2,4,1,1,1,0,3,1,4,0,2,0,1,0,3,2,1,1,4,0,2,2,3,6,4,4,1,6,1,3,1,3,1,2,1,7,0,0,1,6,1,6,4,6,2,4,2,6,6,7,2,7,7,8,5,3,5,5,11,5,7,5,4,9,1,9,10,9,1,7,5,9,8,6,15,13,7,1,0,3,2,0,2,2,1,1,2,1,0,1,0,0,1,3,3,0,3,4,0,1,3,1,1,3,3,0,5,0,4,3,0,4,0,2,0,4,4,4,7,6,1,3,2,3,2,1,4,4,3,3,10,8,3,2,6,7,3,3,1,2,10,5,5,4,1,3,0,2,1,4,0,0,1,1,3,5,2,3,1,3,4,2,16,10,2,0,2,0,3,3,4,0,0,4,3,2,0,0,1,1,4,3,2,5,2,4,2,0,2,4,2,3,3,3,3,2,1,5,3,1,0,2,2,2,2,3,0,1,3,3,3,3,2,3,2,4,1,3,3,5,2,3,4,5,3,4,2,4,0,1,1,0,4,4,2,3,2,3,4,2,3,3,3,0,1,0,3,5,3,2,2,5,0,3,4,0,2,4,4,3,5,1,2,1,2,3,0,0,4,2,3,5,2,0,0,1,2,0,0,1,3,3,1,4,2,3,2,1,1,3,3,3,2,0,2,2,3,3,12,4,7,7,1,1,7,3,12,8,6,7,2,2,1,0,3,4,5,7,2,12,11,2,11,2,5,9,1,2,0,1,2,0,2,2,2,2,0,2,0,0,4,0,2,0,2,1,1,1,0,3,1,1,2,2,2,1,6,2,5,2,3,2,2,1,3,1,2,0,4,0,4,4,5,2,0,0,2,0,0,0,2,0,2,1,2,0,1,3,3,3,2,1,2,1,3,0,0,3,4,1,1,0,0,1,2,0,2,0,4,1,2,0,2,2,4,1,2,1,0,0,1,2,2,3,1,4,3,4,6,2,2,4,6,6,2,2,1,2,1,6,2,3,1,5,2,5,3,2,1,2,5,5,3,4,4,3,2,4,4,2,4,5,3,4,0,4,3,0,0,1,1,2,2,1,1,3,3,0,2,4,1,3,3,1,2,4,1,0,2,0,3,0,7,2,0,0,2,2,0,2,4,0,5,5,11,12,3,1,2,1,3,3,2,5,4,1,5,0,6,5,3,1,7,3,6,1,0,1,0,5,1,1,0,2,1,0,0,1,0,0,1,0,1,1,3,2,3,3,3,3,1,3,2,3,0,3,2,1,0,0,1,0,1,1,2,3,0,3,2,3,1,1,3,5,1,1,3,1,1,1,1,4,0,1,4,4,2,0,1,0,1,1,2,5,1,1,0,0,0,1,2,1,3,1,1,3,1,2,4,2,4,2,2,1,1,1,3,4,2,4,1,2,4,4,1,0,2,4,2,0,1,3,2,4,2,4,3,1,1,3,0,5,1,0,0,2,4,1,2,0,0,5,3,5,5,4,0,1,1,3,4,1,1,1,1,2,0,2,2,3,0,1,1,0,1,2,1,1,4,1,3,2,3,3,2,4,3,3,7,0,5,0,0,3,2,2,1,6,4,0,5,6,3,4,4,1,5,0,1,6,7,8,3,12,2,6,2,1,4,2,5,6,3,2,6,2,3,8,5,1,0,4,9,11,5,4,6,0,6,2,7,11,2,10,10,12,7,9,5,1,8,1,0,3,2,2,4,3,0,1,5,2,5,4,1,1,3,5,3,3,0,1,2,2,0,2,4,2,2,3,0,2,1,0,4,1,3,3,2,3,1,2,2,2,1,0,2,1,0,3,3,4,0,2,1,1,3,3,0,2,3,2,3,1,3,0,4,2,3,0,3,1,2,2,0,2,0,1,3,4,3,3,0,1,2,3,2,4,4,3,1,0,4,5,5,3,3,3,4,5,3,5,0,3,2,4,1,5,5,4,1,4,1,1,0,5,5,2,5,0,0,1,0,3,1,4,1,0,1,2,1,1,1,3,5,1,0,1,1,3,3,1,0,5,3,3,1,1,2,2,2,0,3,3,2,2,4,4,4,2,1,3,0,3,4,3,1,4,4,3,3,3,3,1,4,4,3,5,5,2,2,0,3,3,4,5,3,4,5,4,5,1,3,4,2,5,2,4,2,3,3,1,3,3,4,3,4,4,3,1,3,2,5,5,4,3,1,1,5,2,1,1,0,3,1,3,2,1,5,4,2,4,5,0,2,2,1,0,0,0,2,1,2,1,0,0,5,3,2,1,4,4,6,2,2,1,1,2,0,5,1,6,12,0,2,12,2,12,1,2,1,0,0,4,0,0,0,7,4,5,7,7,9,6,8,8,10,12,12,4,11,8,7,7,6,7,1,5,1,4,2,4,2,2,2,2,0,3,3,1,4,3,2,2,1,2,0,2,0,6,5,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5,2,0,2,4,1,1,1,5,1,2,3,10,6,2,2,5,8,10,11,1,1,0,0,7,13,2,8,10,2,12,4,7,10,3,1,3,1,1,3,3,3,0,0,2,3,2,1,2,7,4,0,2,0,1,0,1,4,0,1,0,1,3,2,2,2,4,1,0,1,0,1,3,0,1,3,1,3,2,1,1,3,1,1,3,1,2,3,3,0,3,3,1,3,2,2,0,2,0,3,1,2,6,2,8,4,2,1,2,3,2,0,1,2,2,3,2,2,1,3,1,1,2,3,3,1,1,4,2,0,1,2,5,3,5,2,0,1,2,1,1,1,0,1,2,1,2,2,3,3,0,0,2,0,1,0,1,3,0,1,0,0,1,1,2,2,1,2,1,0,2,3,0,3,1,1,1,2,1,3,3,1,2,3,3,2,2,0,2,0,1,0,1,1,0,3,2,1,0,0,3,2,1,0,2,3,0,2,2,2,0,2,4,0,1,1,2,1,2,0,1,3,3,2,2,1,1,3,2,4,3,0,3,1,3,1,0,2,3,3,2,0,2,2,3,4,1,3,0,3,0,3,1,2,2,4,0,3,1,1,2,2,3,3,0,3,4,4,3,3,2,4,1,0,4,1,3,0,2,3,1,0,2,3,1,2,3,3,2,3,3,4,1,3,0,2,2,2,1,2,1,0,0,3,1,0,3,3,0,3,1,1,2,2,0,2,1,0,0,0,1,2,0,2,3,1,1,2,1,1,1,1,3,1,3,3,2,1,1,2,1,3,1,1,2,1,3,2,3,2,2,2,2,2,1,2,3,3,2,1,2,1,2,2,3,1,1,2,2,3,1,3,1,2,3,1,3,0,4,0,1,5,2,3,1,4,1,8,1,2,5,2,2,2,0,3,0,2,1,2,0,0,1,3,2,3,4,0,4,3,0,1,0,0,1,2,1,1,3,3,3,2,0,1,0,3,1,1,1,1,4,3,3,5,1,0,4,3,1,1,2,5,2,2,2,1,3,1,1,2,3,2,3,4,3,2,4,2,1,3,3,1,2,0,3,0,3,1,0,1,2,1,2,1,1,3,4,5,4,6,3,7,1,0,1,4,1,1,3,0,0,3,2,1,2,2,2,1,0,4,2,1,3,0,3,2,2,0,6,0,5,0,5,2,2,3,2,2,1,3,0,0,3,0,3,1,0,1,2,1,3,3,1,3,1,3,2,0,1,0,0,0,7,1,4,1,3,6,2,8,1,0,5,3,2,3,2,1,3,1,7,3,0,2,3,1,5,8,7,10,2,1,1,4,0,2,0,1,1,0,1,2,1,5,0,2,3,3,3,6,0,0,12,1,3,4,0,3,3,3,3,8,4,6,6,4,3,0,1,3,5,1,3,3,1,7,6,3,0,3,5,4,1,6,3,6,8,1,0,5,9,5,3,8,6,8,4,7,7,2,3,7,1,1,2,1,3,0,0,3,3,3,3,1,0,1,0,1,0,2,2,3,0,0,2,3,3,4,1,2,2,4,4,4,5,4,8,1,4,7,1,2,1,1,0,3,2,1,3,0,4,2,7,6,6,3,3,1,3,3,4,0,3,3,0,10,1,5,4,2,2,3,0,3,3,3,4,2,2,3,2,3,3,0,3,1,1,1,9,11,9,12,10,10,15,1,0,1,0,0,0,2,0,2,3,2,0,2,3,4,1,1,1,2,1,3,2,0,4,1,0,0,3,3,2,0,0,4,1,4,2,2,3,2,1,2,2,4,3,4,4,3,1,2,4,2,2,2,4,2,0,0,7,0,3,4,0,5,6,2,2,3,3,3,1,3,5,3,1,1,4,2,3,2,4,1,2,3,2,3,3,3,1,4,2,3,4,4,5,4,5,4,1,1,0,0,2,1,1,1,3,2,2,2,2,2,2,0,2,4,7,9,8,1,6,6,2,0,2,7,3,7,1,5,11,9,3,4,0,12,13,9,8,7,10,10,9,2,1,1,1,0,1,3,4,2,2,1,2,1,1,0,3,3,1,3,0,3,2,0,1,3,4,2,3,1,0,5,3,5,1,1,2,1,5,1,2,2,1,4,4,2,3,2,3,3,5,3,3,2,5,0,1,0,3,1,0,2,3,2,3,3,2,0,3,3,3,0,1,3,3,1,0,0,1,2,0,2,0,2,1,3,1,0,3,1,0,3,0,0,0,2,2,3,3,2,1,0,1,3,1,5,3,1,2,2,1,4,2,0,2,3,1,4,4,4,1,0,3,3,1,0,0,5,1,2,1,3,1,2,0,1,3,3,1,2,0,0,1,3,2,3,1,4,1,0,0,3,3,2,2,1,0,1,0,8,1,3,2,2,0,1,1,4,4,1,2,0,3,4,7,3,2,3,1,1,1,4,4,1,0,3,2,3,2,2,2,2,4,2,0,0,1,2,0,1,1,1,0,0,3,1,5,3,3,2,3,0,1,2,3,2,1,2,1,3,0,1,1,2,2,5,2,0,4,0,2,0,2,5,2,1,1,2,0,6,2,5,0,3,3,2,2,1,3,4,3,3,2,3,1,2,4,2,1,3,2,4,4,4,3,4,4,2,2,0,4,4,3,6,5,2,0,2,4,0,0,4,0,3,0,3,1,2,4,3,3,3,6,3,3,3,1,2,5,2,2,1,2,0,1,1,2,0,2,3,1,2,5,5,5,3,4,0,2,3,2,2,0,4,5,3,3,0,6,1,5,3,12,1,2,1,0,6,8,2,8,3,4,4,3,0,2,4,0,1,4,3,4,4,5,8,1,7,8,11,6,2,5,7,10,4,5,9,0,0,1,1,3,2,2,0,1,1,3,4,0,0,3,0,0,0,4,1,2,0,1,0,3,1,1,1,3,3,3,3,3,1,1,0,1,3,0,0,2,1,0,3,0,2,2,2,1,3,3,2,1,4,2,2,1,3,2,4,2,0,3,2,1,0,1,3,0,0,4,2,0,3,2,3,3,2,1,3,3,1,0,5,0,0,3,0,1,2,5,1,1,1,2,0,3,1,4,0,4,0,1,4,2,1,4,4,0,2,5,1,2,0,4,1,1,0,0,2,1,5,0,0,0,4,4,0,0,3,1,4,1,3,1,4,3,3,5,4,5,4,2,5,2,2,3,3,5,5,3,2,3,4,4,1,3,5,3,1,4,2,5,3,5,4,5,2,2,3,4,2,1,3,3,3,4,5,4,2,3,4,4,4,5,4,4,1,1,2,1,0,4,5,4,4,4,0,1,3,2,3,4,4,5,3,3,4,3,1,1,4,2,4,1,5,0,0,4,1,0,0,1,1,1,1,3,1,2,1,2,2,1,3,1,0,4,2,4,1,3,3,3,1,9,1,3,2,4,0,8,2,3,1,4,2,3,7,11,12,9,10,8,4,13,13,1,3,3,0,11,9,1,2,2,1,3,2,0,0,2,1,3,2,1,5,4,2,3,5,2,2,3,1,2,3,3,1,4,1,3,4,4,3,3,3,5,1,2,1,3,4,3,2,3,3,2,7,7,6,0,1,0,2,2,6,1,1,1,1,1,6,0,1,6,6,0,0,4,1,0,2,0,0,0,1,4,2,2,0,2,0,5,5,2,2,1,0,2,1,3,1,0,1,2,4,2,4,1,4,1,1,5,7,0,0,3,3,5,4,4,3,3,1,6,5,3,2,4,7,4,5,3,6,4,2,8,4,4,1,2,4,3,1,1,2,4,6,6,3,4,2,2,2,0,4,3,4,5,3,3,2,4,1,4,5,4,0,4,1,1,2,4,3,2,3,2,4,4,2,1,1,1,4,2,3,3,2,1,2,2,2,4,4,2,3,5,0,7,2,3,3,3,0,1,3,3,3,4,3,0,4,4,3,5,4,1,4,2,2,5,2,3,1,1,0,4,0,3,0,0,0,2,1,3,0,1,2,1,3,2,1,0,2,1,4,3,2,1,1,3,4,0,3,3,2,2,3,3,3,3,2,2,3,1,3,1,0,1,1,0,2,2,0,1,3,2,3,2,3,1,0,1,1,2,3,0,0,2,0,0,2,2,0,0,0,0,0,1,2,3,0,0,3,3,0,0,1,1,1,0,3,3,3,2,1,1,1,0,0,0,1,0,1,0,0,2,2,0,2,3,0,2,1,1,0,0,2,2,2,4,2,2,2,1,2,0,3,1,2,2,4,0,3,2,4,1,2,2,1,3,1,0,4,2,2,3,3,1,2,2,2,1,4,0,0,2,0,2,2,1,1,0,2,3,3,2,2,4,2,0,0,0,2,0,3,1,2,0,2,0,0,3,3,3,3,2,5,3,6,4,3,1,2,2,0,1,6,2,0,7,0,0,1,1,4,6,2,0,8,6,0,1,10,10,0,0,2,2,9,7,12,4,2,1,1,4,4,1,1,0,0,2,2,0,2,1,1,0,1,4,2,1,3,0,0,5,0,0,3,0,2,0,3,2,2,0,4,0,0,0,1,2,3,3,2,0,2,2,2,1,2,3,3,1,0,1,3,3,3,5,0,3,2,3,3,2,2,3,1,3,2,2,2,3,0,3,0,0,1,2,3,2,0,2,0,2,1,2,0,2,0,1,3,3,0,2,3,3,8,1,2,3,2,4,5,1,3,1,2,4,5,1,3,3,2,3,0,3,3,2,0,1,2,2,0,1,1,1,2,2,1,3,4,0,0,1,3,4,0,1,1,1,1,0,1,0,2,1,0,0,1,0,1,2,3,0,0,2,3,0,3,3,3,3,3,2,2,3,0,1,2,2,1,3,3,2,3,2,3,4,0,3,3,0,3,2,1,2,2,3,3,1,2,2,3,3,0,1,2,0,1,0,1,0,0,2,0,3,2,1,2,3,3,1,0,1,1,1,0,3,0,3,1,1,3,0,0,1,2,3,3,1,3,1,2,3,0,1,2,1,1,1,2,2,1,3,2,2,3,3,4,1,3,0,1,3,2,3,1,2,0,0,0,0,1,1,1,1,0,0,2,3,1,0,2,2,2,3,2,3,3,1,0,3,2,0,2,1,1,2,2,2,0,2,0,2,1,3,3,3,2,4,3,1,2,3,0,0,0,0,2,0,0,1,1,4,3,2,4,2,3,1,3,1,0,5,3,3,5,6,7,1,1,7,0,0,8,1,2,6,9,3,4,0,0,1,0,3,0,4,1,2,3,2,2,1,0,0,1,1,2,1,1,0,1,3,3,1,3,0,1,3,4,4,1,1,0,3,0,3,3,2,2,3,0,2,2,1,2,3,0,1,3,2,1,2,3,3,0,1,1,2,0,4,2,3,3,0,1,1,3,1,2,3,2,2,1,1,1,2,0,3,0,4,2,2,2,1,3,3,0,2,2,5,7,3,4,0,1,1,3,3,5,1,1,1,1,2,5,1,2,4,3,2,0,1,3,2,1,1,3,1,3,5,0,2,0,0,1,1,2,1,1,0,2,0,1,1,4,2,2,0,3,2,2,1,2,1,3,0,3,7,2,3,1,1,2,2,3,0,2,4,0,1,1,5,7,6,8,7,11,0,0,1,1,1,1,3,0,1,0,1,3,1,3,3,1,2,1,0,2,3,1,3,2,0,0,4,1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3,7,3,1,1,2,1,2,1,8,7,0,2,5,0,0,5,4,2,2,2,9,1,3,1,3,3,7,1,1,4,5,3,7,1,10,2,0,1,3,5,0,1,2,2,1,2,1,2,2,0,0,2,4,2,2,5,2,1,1,2,5,2,4,4,0,0,3,1,2,2,1,2,0,1,1,1,1,2,0,0,4,1,1,1,0,2,1,8,4,0,0,0,0,0,0,8,2,2,2,10,10,0,3,1,11,2,1,0,0,1,4,1,2,3,1,0,5,3,2,1,1,3,0,7,10,5,9,11,8,3,5,1,7,6,2,6,3,2,3,7,10,12,8,9,7,2,5,9,11,2,9,1,0,1,1,2,3,3,2,2,1,1,1,2,2,2,1,1,1,1,0,2,1,0,1,1,3,0,1,1,0,0,1,2,3,2,1,2,3,5,0,3,4,4,6,2,5,7,5,3,0,2,2,3,3,2,0,3,7,4,3,7,1,5,0,3,4,6,5,1,3,2,4,2,9,5,4,2,1,0,5,4,3,7,3,3,2,1,6,1,3,2,2,1,3,4,0,3,5,2,1,2,0,2,7,5,1,3,8,3,3,5,7,6,11,12,13,13,10,16,7,3,3,1,2,1,1,3,0,5,2,3,1,7,3,1,2,1,3,4,1,0,2,3,0,1,1,6,0,0,3,0,4,1,0,2,6,2,2,3,1,0,0,2,4,1,1,3,2,2,2,3,2,1,3,2,2,4,4,3,1,1,2,2,1,6,3,2,4,4,2,0,0,5,2,2,2,4,3,6,2,7,1,1,2,3,5,0,4,2,4,3,6,2,6,5,2,2,0,1,1,1,4,2,2,0,1,1,1,1,3,4,5,0,2,3,2,2,3,2,2,3,4,2,2,5,3,3,1,1,4,4,6,5,1,3,4,1,1,0,0,2,1,1,3,2,2,1,0,1,3,0,3,3,3,0,0,0,2,7,0,3,1,3,1,1,4,1,4,5,2,4,11,0,1,6,12,0,1,2,7,12,1,0,3,2,8,5,3,4,9,5,4,3,4,9,11,9,11,9,8,2,1,0,3,2,1,1,2,2,1,2,2,1,3,1,1,2,0,2,3,3,1,1,0,2,3,3,3,1,3,2,3,1,1,5,0,2,2,1,8,6,1,0,1,5,4,4,2,3,2,4,6,6,1,5,2,2,0,2,0,2,2,1,0,1,2,0,2,1,2,4,0,0,1,3,1,2,1,1,3,1,1,2,1,0,1,0,1,2,1,1,4,1,3,2,4,1,1,0,0,1,0,0,2,1,2,0,3,4,4,1,2,0,3,3,1,1,0,1,1,4,4,4,1,2,4,0,3,3,1,4,0,1,4,0,0,3,4,1,2,4,1,2,0,4,3,0,3,1,5,1,2,2,4,3,2,1,2,1,1,1,0,2,3,1,0,0,0,0,1,4,2,2,1,2,2,2,1,0,7,8,3,11,6,0,1,12,3,4,0,1,3,4,0,5,3,1,2,8,0,5,2,4,6,5,3,1,0,3,2,0,0,0,3,0,2,3,1,2,2,1,0,2,2,4,5,0,0,1,3,0,0,2,1,1,0,0,1,0,4,2,1,2,2,1,2,3,1,1,3,2,1,3,0,3,3,0,1,3,3,2,2,0,1,1,2,2,0,2,1,0,1,3,3,4,1,1,6,0,2,1,3,1,3,0,5,2,3,1,5,2,0,5,4,2,5,3,0,2,2,1,4,1,3,1,4,3,4,1,0,4,5,4,1,1,3,2,3,4,3,0,0,0,0,2,1,0,0,1,2,4,0,3,1,5,3,1,4,1,1,4,3,6,0,2,0,3,3,2,0,2,3,1,5,1,1,2,4,4,1,0,3,4,2,9,2,0,2,2,9,1,0,0,2,1,1,3,5,4,1,3,3,0,1,3,10,3,6,2,0,8,5,4,2,4,0,1,7,6,2,0,2,6,7,5,2,12,6,7,0,0,2,1,1,5,0,2,2,1,2,4,3,4,0,5,3,3,7,2,1,1,4,1,3,3,1,2,2,0,1,1,1,3,0,1,1,1,2,3,0,2,1,0,3,1,3,3,3,0,0,1,3,2,2,2,3,3,3,2,2,0,3,2,2,0,3,1,2,0,2,4,0,2,1,1,0,2,3,1,1,1,2,0,1,0,3,3,2,0,4,0,1,1,3,5,2,5,4,0,2,3,0,2,4,3,2,2,3,3,4,1,1,4,0,1,5,0,0,4,0,0,4,1,3,4,2,2,4,0,1,2,1,4,2,2,1,0,2,0,1,3,3,2,0,3,2,1,2,1,2,1,3,5,2,4,4,2,1,4,1,1,4,2,2,1,0,0,1,3,4,4,0,2,1,4,3,2,3,3,2,0,1,2,5,2,3,3,1,2,2,2,4,3,3,1,4,3,2,3,5,2,0,0,1,4,3,2,4,3,2,3,4,1,3,4,4,3,0,3,5,3,4,2,3,3,3,2,2,3,4,3,2,6,2,5,3,4,2,5,4,4,1,3,3,3,2,1,0,4,3,2,1,3,3,0,0,4,2,5,4,3,5,4,0,3,1,1,1,1,5,1,1,0,2,3,1,3,3,2,4,4,5,4,3,1,2,4,1,1,4,3,3,0,1,5,0,4,3,4,5,4,3,4,2,2,4,5,5,4,0,3,0,3,1,0,2,0,4,3,2,1,1,0,0,3,3,2,3,4,1,0,0,2,4,1,2,0,6,2,1,6,3,1,4,13,2,3,3,8,0,0,9,3,0,4,12,12,4,0,2,14,2,1,3,3,2,6,4,2,2,6,4,8,0,3,4,6,3,3,3,10,5,6,9,2,11,7,8,13,14,2,1,1,3,4,9,3,13,9,5,0,0,4,0,0,4,1,2,4,2,2,4,3,0,5,3,4,2,4,2,5,4,4,4,3,1,1,1,5,3,4,3,3,3,0,4,3,4,3,0,1,1,0,3,4,2,4,1,4,1,1,5,4,4,1,0,1,1,0,4,7,6,1,1,3,0,4,0,3,2,2,4,3,3,4,4,1,1,2,1,3,0,1,3,0,3,4,4,1,1,5,2,2,0,2,4,0,1,0,1,2,4,1,0,4,2,2,1,1,0,4,2,1,1,0,4,0,0,1,0,4,5,2,1,0,0,3,2,3,3,3,3,2,4,1,4,3,6,0,5,4,6,0,4,0,3,1,4,4,6,3,1,2,5,0,1,1,1,4,1,2,1,0,2,0,0,2,5,5,2,3,4,3,4,3,3,8,5,4,3,6,4,1,7,0,0,6,0,2,3,4,3,2,4,0,0,2,3,3,5,2,4,2,0,1,0,0,1,2,0,1,1,3,0,0,4,1,1,2,5,3,1,0,2,3,1,1,6,4,2,3,2,4,3,7,3,3,6,2,3,2,3,4,5,1,3,2,1,2,3,3,2,1,3,4,1,2,1,3,0,4,1,1,2,1,4,4,4,4,3,2,1,3,0,0,1,2,1,1,0,2,2,2,3,2,3,4,0,1,3,3,0,0,2,4,1,4,1,3,1,2,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0,3,1,2,1,3,1,2,1,2,1,0,1,3,0,1,2,2,0,3,2,3,2,0,2,0,1,0,1,4,2,0,1,3,0,2,2,0,3,1,0,1,2,1,1,4,2,0,0,0,0,1,1,3,2,0,3,1,1,2,0,1,1,1,3,0,2,0,1,2,1,1,3,2,2,1,1,3,1,2,3,3,0,2,2,2,1,1,1,2,0,3,4,0,0,1,3,1,0,0,1,0,0,0,1,0,2,1,2,3,1,0,0,4,2,3,4,1,2,4,4,1,0,2,0,0,1,2,4,3,0,2,4,2,0,2,3,3,3,3,1,2,0,3,4,1,2,0,2,0,0,2,3,2,0,1,2,1,3,5,1,0,2,0,2,1,1,2,1,3,2,1,2,0,3,3,1,0,0,2,1,1,4,2,2,2,1,0,3,2,2,3,1,0,3,1,0,1,3,0,0,0,1,1,0,2,1,3,2,0,2,1,1,1,2,1,1,2,0,2,0,2,3,5,1,6,2,3,3,1,0,2,1,5,3,1,5,0,5,3,1,2,2,4,1,0,1,3,1,0,3,1,2,0,4,2,1,4,3,0,1,3,2,3,2,1,3,10,10,4,5,12,0,7,7,2,9,7,12,0,2,1,2,1,4,0,0,3,4,2,0,1,3,2,2,4,0,2,1,2,3,5,2,2,6,2,0,0,0,1,1,1,1,1,1,0,1,0,0,0,1,1,2,3,1,1,3,3,2,2,2,1,4,4,2,3,0,0,1,0,4,1,3,1,3,0,1,0,0,7,0,2,1,3,1,3,4,0,1,1,0,0,0,4,2,1,3,1,2,1,2,1,4,2,3,1,2,2,2,1,1,4,2,1,1,3,3,1,3,1,2,1,2,4,0,3,3,1,0,1,1,3,1,2,2,2,1,1,1,2,4,2,0,3,3,1,2,3,1,0,1,1,4,0,0,0,2,2,2,2,1,3,1,2,1,2,0,1,1,3,1,3,3,3,3,2,3,3,0,1,2,1,3,3,1,3,3,3,1,3,3,3,2,3,0,2,3,0,2,2,3,2,3,1,1,3,0,1,3,0,3,1,0,1,2,1,1,1,1,3,1,3,2,3,2,1,1,1,2,3,3,4,3,2,0,1,0,3,1,2,1,4,1,1,2,1,3,3,2,1,3,3,2,1,1,3,2,1,1,1,3,0,0,3,3,3,3,3,0,4,2,3,3,1,3,2,2,2,1,2,0,2,1,4,2,1,1,3,1,0,1,2,4,3,4,2,2,4,3,4,4,1,4,1,2,3,2,3,0,2,1,0,4,3,2,1,2,0,0,1,1,0,1,2,0,3,1,0,2,1,3,3,3,0,0,3,3,3,0,0,2,0,0,1,3,2,3,1,3,3,1,1,2,2,2,0,1,3,0,2,3,3,4,3,1,2,2,3,1,3,2,2,1,4,2,2,8,3,2,1,3,0,1,3,8,2,6,4,8,8,7,4,0,1,1,1,1,4,2,4,2,2,4,2,4,0,1,4,0,3,0,3,1,2,0,0,3,3,1,0,1,1,1,1,0,1,2,3,3,0,1,3,1,3,0,1,1,3,0,2,2,2,0,0,0,3,2,1,1,3,1,4,3,1,1,1,4,2,0,2,1,0,2,1,0,0,0,3,1,1,0,3,3,1,2,3,0,1,0,2,0,0,1,1,1,1,2,1,1,2,3,0,1,0,0,2,4,4,2,3,0,6,1,1,6,6,1,2,1,7,3,1,0,5,2,5,2,0,5,3,1,0,3,3,0,3,3,4,3,1,1,0,1,1,2,1,0,4,6,1,0,1,0,0,0,0,2,1,3,1,4,0,3,1,1,2,2,0,1,4,0,3,1,2,0,0,0,4,5,4,0,3,2,3,1,7,6,3,3,10,3,3,0,1,3,3,2,2,2,12,0,1,0,2,0,0,1,0,0,1,0,2,2,1,2,3,3,3,0,0,1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3,0,2,1,4,3,4,1,3,0,4,1,2,1,0,1,2,1,0,1,3,1,2,5,0,4,2,0,1,2,4,2,1,4,2,2,3,7,2,1,0,3,0,1,1,12,2,2,1,4,0,1,1,3,1,0,1,2,0,1,2,7,6,0,6,7,6,5,12,2,0,9,5,2,2,1,6,4,2,1,7,3,2,2,3,3,3,2,3,0,0,3,1,2,1,3,0,0,0,2,6,0,0,1,4,4,2,2,0,2,0,0,2,0,2,0,3,2,1,3,1,2,0,0,1,2,3,2,4,0,4,2,1,2,4,4,4,0,4,1,0,2,1,2,0,1,2,2,1,1,3,2,0,0,1,2,1,3,1,1,2,3,1,2,5,2,3,2,0,2,0,2,1,3,3,0,2,0,3,4,2,1,2,3,0,0,2,1,1,2,0,4,4,3,2,0,4,3,4,1,5,2,5,0,4,1,3,2,1,3,4,2,4,1,3,1,4,2,1,0,0,2,2,2,2,4,2,2,4,1,3,5,4,0,3,2,3,0,5,3,0,5,4,3,0,2,3,3,0,1,3,4,1,5,4,3,1,2,2,5,2,1,5,3,2,2,1,0,1,4,4,2,5,2,2,2,4,3,3,4,2,2,3,1,3,5,4,5,4,1,0,0,4,2,1,1,1,4,2,4,2,4,3,1,0,1,1,5,2,2,1,2,1,2,1,1,4,2,5,3,3,4,1,1,2,0,3,3,2,3,1,0,5,3,1,4,0,4,4,4,3,3,1,5,5,2,1,5,4,4,4,5,1,2,4,4,0,3,5,5,5,4,2,0,2,1,4,2,4,0,0,3,5,1,1,2,1,2,2,5,1,1,4,2,1,4,5,2,1,1,4,4,4,3,3,1,1,4,1,4,1,1,3,1,0,1,3,4,3,2,3,4,3,2,0,3,1,9,11,10,12,10,11,3,3,2,1,4,4,2,4,0,0,0,3,2,1,1,2,1,0,1,0,2,0,2,6,14,9,7,7,2,8,8,3,4,6,1,8,12,8,12,9,3,1,9,0,1,4,7,3,3,1,5,9,1,6,6,5,4,1,5,3,3,3,0,0,3,1,3,2,2,2,4,4,0,5,3,2,0,4,0,3,2,4,0,0,1,4,1,3,1,2,2,2,2,5,3,0,1,1,5,5,4,4,0,2,6,6,2,7,5,1,0,4,2,1,4,2,2,0,0,2,3,0,1,0,0,5,0,0,2,0,4,2,3,2,2,1,4,0,0,0,2,1,4,1,2,3,3,0,5,2,6,5,2,3,7,7,8,7,1,8,5,3,1,2,0,3,8,7,6,2,6,1,6,3,2,6,0,6,5,1,7,0,2,5,3,5,1,2,0,0,4,4,5,3,1,5,5,4,0,4,1,4,0,5,3,4,1,3,1,0,3,2,4,1,0,0,5,1,1,2,4,0,0,3,2,1,1,3,2,3,3,4,1,0,4,2,3,4,0,0,4,1,1,4,2,2,0,4,2,1,2,1,5,3,7,1,7,4,6,3,1,1,1,2,2,5,2,8,2,5,0,5,1,2,5,0,1,5,0,2,5,1,1,1,1,2,0,5,2,0,4,3,1,0,1,5,7,6,0,5,5,2,2,2,1,4,0,3,2,4,5,2,1,2,1,3,5,2,2,2,1,0,1,0,1,2,1,0,3,4,1,1,2,2,0,0,1,1,1,0,1,0,2,0,0,1,0,2,4,4,3,3,0,1,3,3,1,3,3,1,1,0,1,1,1,2,1,4,2,1,4,3,0,0,0,1,2,1,3,2,1,1,2,2,1,0,1,2,0,2,3,0,1,2,2,2,1,2,3,1,1,1,3,0,2,1,0,1,0,0,0,0,2,1,3,0,3,2,1,1,3,3,4,1,1,0,0,1,0,1,0,0,1,0,3,1,2,1,0,1,3,1,2,3,2,1,4,3,0,0,1,2,0,0,2,1,3,3,2,2,2,3,0,2,1,4,1,5,4,5,2,2,1,2,0,0,0,0,3,0,4,3,4,4,1,1,3,0,2,3,2,1,1,1,1,2,0,3,0,2,1,2,3,2,3,4,1,4,1,1,2,1,2,2,1,3,2,0,0,0,0,0,0,0,1,1,1,1,4,3,1,4,3,1,3,3,0,1,2,1,2,0,2,2,1,3,0,1,1,3,2,0,1,6,0,3,5,1,6,5,1,2,0,2,2,2,2,11,6,4,0,1,2,12,1,9,5,3,4,5,1,7,3,4,1,2,0,3,3,0,1,3,3,4,2,0,2,1,0,3,1,0,2,3,2,1,1,0,0,0,2,0,0,2,3,0,0,2,1,1,4,0,0,3,0,1,1,2,2,3,1,3,0,1,1,1,0,0,3,1,3,1,3,1,3,0,1,0,2,3,0,3,3,2,3,2,0,1,4,2,0,1,0,3,2,3,3,1,3,0,3,1,3,2,0,3,3,2,1,0,1,1,0,0,3,0,4,0,1,3,0,2,0,3,0,4,3,2,2,2,1,2,1,0,2,3,2,0,0,0,1,1,1,0,0,1,3,0,3,0,2,2,2,1,2,2,2,1,1,3,0,1,3,3,2,2,2,2,2,3,2,0,3,4,0,4,1,0,3,1,3,3,2,2,2,2,1,3,3,3,2,0,1,0,0,1,2,1,2,1,1,0,3,1,0,1,0,1,0,2,1,2,2,1,1,3,0,1,2,2,3,3,2,3,3,3,4,2,2,3,1,1,2,2,0,0,0,2,0,0,1,1,0,2,2,3,1,7,2,1,0,2,0,1,1,3,3,0,0,3,1,4,3,1,2,1,0,3,2,3,1,1,1,3,0,1,3,1,2,3,0,1,3,1,2,1,1,2,3,1,1,0,2,3,3,1,0,1,3,3,1,2,0,0,2,2,0,3,7,0,1,6,2,1,3,4,1,0,6,2,5,1,0,5,1,1,4,5,7,2,5,4,4,1,2,0,2,2,1,0,2,3,1,2,1,1,1,1,2,1,1,2,3,0,1,2,1,0,5,1,4,0,2,1,0,2,0,0,1,3,4,3,0,3,2,1,2,1,3,0,1,3,2,3,2,0,0,3,1,6,1,6,1,2,3,0,2,2,3,0,4,0,0,4,1,2,2,0,1,2,2,0,4,0,3,2,1,1,2,4,0,0,1,1,2,4,2,1,0,3,1,0,2,0,4,2,2,1,1,1,4,2,2,3,0,2,5,5,4,1,3,1,1,3,6,0,3,4,3,4,0,2,3,0,0,0,1,1,3,1,3,1,3,1,0,0,2,5,7,0,4,0,0,2,9,0,9,8,2,1,2,2,2,3,4,1,6,1,1,7,6,2,0,9,2,6,1,6,3,2,0,1,2,1,1,0,0,2,0,0,3,0,3,1,3,2,2,2,1,3,0,7,2,1,1,3,2,1,0,3,0,5,2,3,0,1,1,0,2,0,0,6,1,2,0,6,2,0,6,3,0,4,5,3,4,1,2,5,3,3,1,4,1,0,2,4,0,0,1,2,1,2,0,3,8,1,0,0,3,2,2,2,1,2,2,3,3,0,4,0,2,1,4,3,0,3,3,2,3,3,2,3,4,2,10,2,8,6,4,2,0,3,0,7,6,3,5,9,4,15,0,0,5,6,4,1,0,10,1,1,4,3,9,0,4,2,3,3,0,2,3,2,2,4,4,4,2,7,4,4,5,7,1,4,3,1,3,3,6,5,6,9,1,5,7,5,6,3,6,3,2,1,4,3,3,1,2,2,2,4,6,7,7,0,1,2,4,0,3,3,2,4,3,3,4,2,1,0,3,4,1,3,0,1,2,5,0,0,0,5,1,4,1,1,0,4,3,2,4,0,2,0,3,3,2,7,6,3,5,4,5,7,2,8,5,0,4,6,1,1,4,8,2,1,0,2,2,5,4,3,3,3,5,5,2,4,0,1,2,1,4,3,6,2,3,3,1,0,0,1,3,4,4,2,0,6,4,9,3,0,3,1,1,8,0,1,2,0,3,3,1,3,2,0,2,5,4,0,3,2,1,5,3,4,4,5,15,14,1,5,1,1,15,8,1,5,0,7,2,2,1,2,1,0,0,2,0,0,2,0,0,0,2,2,3,0,1,0,0,0,1,1,1,3,1,0,0,3,3,4,4,3,2,5,0,5,2,0,1,1,1,1,4,0,0,3,3,4,1,3,3,3,2,0,0,1,0,6,1,7,2,0,3,3,3,1,1,1,0,1,4,2,2,2,0,2,0,2,2,2,2,4,1,0,2,2,1,2,1,1,8,2,1,2,1,1,1,3,2,2,1,1,2,1,0,9,3,1,12,8,8,5,8,13,4,10,11,9,0,3,2,4,0,1,2,2,0,10,4,5,11,3,5,1,3,6,3,2,0,4,1,1,3,0,0,0,5,2,3,0,2,1,2,3,4,2,4,2,2,2,2,4,6,2,6,3,5,6,5,6,2,3,3,3,1,3,4,2,5,0,3,0,1,2,2,2,2,1,4,3,3,2,0,0,0,3,0,6,0,4,1,1,2,2,2,1,1,2,1,2,0,1,3,4,0,1,1,3,0,1,2,0,1,1,2,4,5,1,0,0,2,1,1,1,2,0,3,1,1,3,0,0,0,2,1,2,1,1,2,1,1,1,2,3,1,2,2,3,1,2,1,1,2,0,0,0,1,4,3,2,1,4,2,2,0,1,5,4,4,5,0,3,2,2,4,1,1,2,5,2,0,1,0,1,2,1,2,2,0,1,4,2,0,2,0,2,2,3,0,1,2,0,1,1,0,3,3,3,0,1,1,2,1,0,0,3,3,0,1,2,0,1,1,1,0,3,3,2,3,2,1,0,7,1,1,0,1,2,2,3,0,5,2,2,1,3,2,2,5,2,2,1,2,1,3,4,4,4,1,5,1,1,3,0,2,1,3,0,1,4,4,2,0,1,2,1,3,0,2,1,2,1,0,2,2,3,0,1,1,2,4,0,0,2,0,4,0,0,0,3,1,2,1,1,1,5,3,2,1,0,2,3,0,0,3,0,1,0,1,0,0,0,0,3,3,1,2,1,5,0,1,4,1,1,4,4,2,4,2,1,1,0,0,3,0,3,3,3,0,4,3,1,4,2,1,2,2,4,2,1,3,1,5,4,3,2,1,1,2,1,0,0,0,2,1,3,4,2,0,1,6,5,6,0,1,6,1,1,3,3,2,1,0,0,1,1,4,0,3,0,0,3,0,0,2,2,2,2,3,2,4,2,2,2,0,0,1,4,1,2,1,2,1,2,1,2,3,2,3,4,9,3,3,0,0,3,6,2,13,2,3,1,4,2,3,4,3,3,1,2,8,4,6,1,4,1,3,6,2,3,2,4,2,7,3,1,3,0,3,2,1,0,2,1,1,1,2,2,0,5,1,1,2,1,4,0,1,3,6,7,7,2,4,2,2,6,2,3,3,2,1,0,0,1,0,1,2,2,3,2,0,3,0,0,0,1,0,1,1,1,1,1,2,1,2,0,0,4,1,3,1,3,1,3,4,2,2,2,1,2,4,1,1,1,3,2,2,0,3,1,1,2,1,2,3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2,1,4,2,2,0,1,2,6,3,5,2,4,0,1,3,2,1,0,0,2,2,3,4,3,1,1,3,1,1,3,2,3,2,2,0,0,0,3,4,7,3,3,1,0,3,0,3,1,2,0,2,3,1,1,6,0,1,1,3,11,4,1,4,5,4,1,2,3,0,2,7,1,2,3,6,1,5,3,0,0,1,5,3,3,1,3,1,1,4,2,7,3,2,0,3,4,2,2,2,3,1,0,0,1,1,0,5,2,1,2,0,1,1,0,2,0,1,1,4,3,0,0,3,4,3,2,3,4,2,1,3,4,0,3,3,2,0,0,5,1,3,2,0,4,0,1,3,2,1,3,1,4,1,1,4,1,0,1,1,1,4,2,4,3,4,0,5,1,1,4,0,0,4,0,2,1,3,1,1,2,0,2,0,3,2,2,5,5,1,5,2,1,4,2,3,3,3,3,4,4,2,3,1,5,3,5,3,2,1,1,2,1,1,2,1,1,2,8,1,3,1,0,3,1,1,0,1,1,2,3,4,2,3,6,3,1,5,0,2,3,6,2,2,2,8,0,0,12,3,2,5,3,5,4,8,6,0,1,2,2,3,2,4,4,3,0,1,2,0,3,1,4,2,1,1,3,4,3,2,1,2,1,3,2,2,2,3,1,3,0,3,0,3,3,2,3,4,1,2,2,2,3,0,0,4,3,1,0,1,0,3,5,2,0,2,1,1,0,1,3,4,2,1,3,2,3,0,1,2,5,0,1,5,5,5,3,0,4,3,5,4,2,2,5,4,3,2,4,0,3,3,4,3,0,2,1,5,3,2,2,1,3,1,3,0,2,2,1,3,0,4,3,2,1,0,3,2,4,4,4,2,5,3,4,3,4,5,1,3,4,1,5,4,1,5,1,3,3,5,3,1,3,5,4,2,5,4,4,4,3,4,0,1,3,5,3,5,5,0,3,0,4,4,4,4,2,0,2,4,5,4,2,2,1,2,0,4,1,3,0,1,0,1,0,1,1,1,1,1,1,1,1,2,3,2,2,2,2,3,1,1,0,6,4,0,3,2,2,2,3,13,5,2,0,6,1,3,0,0,6,8,5,2,4,1,3,4,6,1,5,3,1,2,3,2,1,2,5,2,3,4,0,3,3,0,4,3,4,4,0,2,4,6,3,4,3,3,3,3,3,1,4,2,4,4,2,2,4,1,3,0,1,1,2,2,1,3,3,0,0,2,1,4,4,5,0,8,3,4,0,5,4,5,4,1,0,4,4,1,3,3,2,3,4,5,1,0,1,2,2,1,1,4,2,4,1,4,5,1,4,3,2,0,3,4,2,3,5,8,6,2,4,4,7,5,7,1,5,0,1,2,1,3,6,2,4,7,5,5,0,2,0,5,2,0,0,2,3,3,1,3,3,3,6,3,5,7,3,4,1,3,1,1,1,2,2,3,0,1,2,1,3,0,0,2,2,2,1,0,4,4,3,1,3,0,4,3,0,0,6,1,4,3,3,6,6,6,4,3,6,5,2,4,6,4,6,7,5,3,3,2,3,3,1,2,4,4,1,4,2,1,3,3,2,2,0,1,0,0,2,0,3,0,0,4,3,2,2,2,3,0,0,1,0,0,3,3,3,1,1,2,3,3,4,1,0,0,1,0,0,2,0,4,3,1,2,1,3,1,3,0,1,2,2,1,3,0,3,1,1,1,1,1,3,1,1,0,2,0,4,2,2,1,4,4,3,3,0,2,1,1,3,1,3,3,0,0,3,1,2,1,1,2,3,2,0,2,3,0,2,4,4,2,0,2,2,0,1,2,1,3,3,1,3,2,2,1,0,3,2,1,4,3,4,2,2,1,0,1,0,3,0,1,3,2,1,0,1,1,3,1,2,4,2,0,1,4,2,2,2,1,2,3,1,2,1,1,1,2,2,3,1,1,2,3,1,3,1,2,2,0,1,0,3,1,1,0,1,1,0,0,3,0,2,3,0,2,0,2,9,9,6,2,2,2,1,2,3,5,5,2,1,1,2,3,0,5,4,0,0,4,9,6,4,2,2,2,2,2,1,4,8,0,0,2,0,5,1,1,1,0,0,1,2,0,8,4,2,2,0,3,0,3,1,2,1,1,2,1,3,2,1,4,0,2,1,4,0,3,3,3,0,0,2,3,2,2,2,2,1,2,2,2,1,2,3,0,1,0,0,1,4,3,3,3,1,3,0,2,0,4,1,2,2,7,1,1,3,3,3,2,3,1,2,1,4,1,3,3,0,2,1,2,0,2,0,5,2,3,2,5,2,3,1,0,1,3,3,1,1,3,1,1,3,3,2,4,3,2,1,2,1,1,2,3,2,4,0,2,3,4,2,1,0,2,3,1,1,0,3,0,3,1,1,2,3,3,4,1,3,2,1,3,1,1,4,1,3,1,0,0,2,1,1,0,1,2,3,1,0,1,0,2,4,4,2,2,2,0,1,1,2,1,4,1,1,3,1,3,0,3,2,1,3,2,2,3,1,1,0,3,1,3,3,0,1,1,2,1,0,2,0,0,4,3,0,3,1,3,0,0,1,3,3,0,1,0,3,4,2,0,0,3,1,1,1,2,0,1,1,0,2,0,4,1,0,0,0,0,1,0,3,2,1,1,4,0,4,3,2,1,2,1,2,3,2,3,1,3,0,1,1,0,2,3,0,3,1,3,2,3,0,1,0,0,4,0,0,2,0,0,0,0,3,3,1,0,3,4,1,2,0,1,1,2,3,1,2,2,3,3,3,3,4,4,2,1,0,0,3,0,1,2,1,0,3,0,1,0,0,2,5,3,2,3,1,1,1,3,1,0,0,4,0,1,2,3,1,3,0,1,0,1,0,0,1,2,3,1,4,5,0,3,0,3,3,2,0,1,3,2,4,1,2,1,0,4,2,0,1,1,1,2,2,1,9,7,3,4,2,4,7,3,6,7,4,8,3,2,2,1,9,6,5,2,3,0,1,3,3,2,2,0,3,3,2,0,2,4,3,4,1,1,2,1,4,1,0,3,1,1,0,2,0,1,2,1,0,1,3,1,2,2,1,3,4,2,2,0,2,3,2,2,0,0,2,3,2,3,0,3,3,1,3,4,0,4,3,3,0,2,3,1,7,8,4,2,2,0,3,3,1,4,2,1,5,2,2,4,0,5,2,2,1,2,0,1,2,2,1,0,2,1,6,3,0,1,0,3,3,1,3,0,1,6,4,0,1,4,2,1,0,0,1,2,1,1,0,1,0,3,2,2,0,1,1,3,2,1,0,4,3,0,2,2,1,1,2,2,2,3,3,2,3,3,5,1,7,1,1,3,0,2,6,6,0,1,5,1,3,4,4,3,2,5,0,1,1,3,3,1,3,1,3,4,0,3,3,1,2,2,1,2,0,2,1,2,0,3,1,2,5,4,7,1,3,1,2,2,4,2,1,1,1,2,3,4,1,3,2,1,1,2,2,7,3,4,2,2,3,9,3,5,3,4,2,2,2,1,3,4,0,6,1,3,1,1,4,0,1,3,5,3,7,3,0,2,2,0,0,1,1,2,0,5,3,2,3,2,5,3,4,1,1,0,2,4,2,1,3,8,1,3,4,8,5,2,4,4,3,3,1,1,4,6,2,8,3,5,8,3,8,1,0,2,3,1,1,1,3,2,4,1,1,2,1,5,3,1,8,5,4,1,6,6,3,2,0,0,1,4,5,4,1,2,1,0,2,3,4,3,0,4,1,4,3,0,0,3,1,2,2,6,3,2,3,1,0,4,0,2,2,2,1,1,4,3,0,4,3,2,0,3,0,3,2,0,4,4,0,4,4,0,2,0,1,0,2,4,1,0,7,2,0,1,10,4,2,1,2,2,0,5,2,0,1,1,3,1,8,1,6,1,12,4,5,3,12,6,2,1,1,1,0,6,2,1,6,1,8,12,1,1,2,0,1,2,3,1,1,0,0,2,3,0,2,2,2,3,1,0,0,5,4,1,3,1,1,2,0,0,1,0,0,6,2,2,3,2,6,4,5,0,1,1,3,0,2,2,0,1,3,1,0,0,0,2,0,1,1,5,5,5,1,0,2,3,1,5,3,4,0,2,1,2,2,2,2,4,0,1,1,3,1,1,2,1,3,3,3,3,0,1,1,3,2,4,2,3,1,0,1,1,2,2,1,3,4,1,4,2,4,4,3,6,0,3,3,5,2,3,1,3,1,3,1,2,2,5,4,4,0,1,1,1,2,0,1,3,1,1,3,2,3,1,2,0,4,3,1,0,2,0,1,0,1,0,5,0,2,0,3,3,2,0,4,1,0,6,1,0,4,3,5,2,1,2,1,3,0,0,2,1,2,3,2,2,0,3,0,4,3,3,0,1,0,1,3,1,0,3,3,2,1,1,1,0,2,0,2,4,4,1,3,0,0,2,0,3,2,0,1,1,0,1,0,2,0,6,3,4,4,4,5,5,0,3,3,2,2,1,0,3,1,5,1,2,1,5,1,4,3,3,3,2,2,0,1,1,0,2,2,2,3,1,0,5,6,0,1,0,2,1,1,3,1,2,3,2,4,3,0,2,0,2,0,1,2,3,3,2,0,1,0,5,1,2,1,1,0,5,0,4,3,11,4,0,7,1,0,2,1,4,3,0,2,2,7,2,1,0,1,1,2,3,0,1,1,3,1,0,0,0,0,0,3,4,1,2,1,1,3,3,2,0,2,1,0,1,1,0,0,3,1,2,1,1,2,3,0,0,3,0,0,2,2,2,0,2,2,2,2,1,1,3,3,3,2,2,4,0,0,2,0,5,5,3,1,2,1,4,3,2,2,0,3,5,4,3,2,4,4,5,3,2,0,1,3,4,4,1,4,4,2,1,2,4,3,5,2,3,2,3,5,3,3,5,0,5,1,0,3,3,2,5,4,0,4,3,5,5,3,1,1,4,5,3,1,4,1,5,1,4,3,3,2,2,0,1,2,4,0,4,3,4,4,1,1,1,2,3,1,8,1,5,1,5,6,4,3,2,6,2,4,3,1,3,3,7,9,8,1,1,4,4,2,0,2,4,1,5,5,1,0,4,4,10,10,11,8,0,2,2,3,7,2,0,4,6,0,5,2,0,3,3,3,3,1,1,1,4,1,5,1,3,1,5,3,1,4,0,0,4,2,3,4,2,0,6,1,0,2,2,4,4,0,2,2,5,5,4,2,7,4,3,3,2,1,1,2,3,4,4,0,0,0,0,1,3,0,3,2,0,3,4,0,4,2,4,4,1,3,2,4,3,1,3,2,1,5,2,5,0,2,4,1,0,4,0,4,1,6,3,4,0,4,5,0,1,3,3,5,1,3,3,3,4,0,3,4,6,0,3,2,5,5,4,4,0,0,0,1,0,2,4,2,5,0,2,5,1,1,1,1,0,1,1,3,3,2,1,3,4,4,1,2,2,1,1,2,3,0,1,1,2,2,4,2,7,5,6,5,5,0,0,3,3,3,4,3,5,3,2,1,2,2,2,4,0,3,4,0,1,1,1,0,3,7,3,7,2,1,1,0,0,0,3,0,0,1,0,0,0,2,1,3,3,0,2,3,3,4,0,3,3,1,0,1,1,1,1,1,1,3,2,2,3,1,2,2,3,0,3,4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2,2,1,1,2,1,3,3,2,5,5,1,0,2,1,2,1,0,3,0,4,4,2,5,1,3,0,0,1,2,1,0,3,2,1,1,5,1,7,4,8,4,6,5,5,8,12,1,1,2,0,4,6,3,0,3,4,3,0,0,0,1,2,0,1,2,1,1,4,5,0,3,3,1,0,2,1,2,2,1,2,1,1,2,4,3,0,3,3,3,2,2,2,2,3,3,1,3,2,1,3,3,1,0,5,5,4,1,3,1,2,4,1,2,3,3,2,3,1,0,2,5,4,3,0,0,2,0,4,1,4,2,5,1,0,1,3,2,1,4,2,3,3,2,2,3,4,5,4,2,4,1,5,2,3,1,1,0,1,5,4,1,5,1,1,4,2,2,0,2,4,1,5,0,3,2,4,4,0,3,1,1,4,2,3,5,3,3,3,4,5,5,3,4,4,2,3,4,4,2,5,2,0,4,4,5,1,3,2,3,3,3,3,4,1,4,4,3,4,4,3,4,2,2,2,4,4,3,4,0,0,2,2,0,4,0,2,1,3,2,1,1,3,1,2,2,4,4,3,3,3,5,6,8,4,2,4,6,13,8,10,0,1,7,0,0,2,4,4,7,11,5,3,1,10,3,10,5,1,3,4,4,1,4,4,0,0,0,1,0,2,4,3,3,0,1,1,1,3,0,2,2,4,3,6,6,7,3,2,3,0,1,5,0,0,5,3,4,1,2,3,1,1,2,3,2,4,0,0,2,2,2,3,3,1,5,0,0,0,2,0,4,5,2,5,5,5,8,6,0,6,4,4,0,2,3,0,4,0,0,4,5,0,1,4,0,3,0,0,4,0,1,4,1,0,4,3,5,2,3,0,5,0,2,4,0,3,3,5,3,0,2,3,1,3,0,4,5,4,7,1,1,4,3,1,4,6,2,4,8,6,2,5,1,2,2,7,4,4,3,3,5,1,3,4,3,4,3,4,1,3,4,2,2,3,3,3,1,1,2,0,5,0,1,5,4,2,1,3,4,2,1,2,5,3,1,5,5,2,1,0,4,1,3,3,3,0,2,1,4,2,2,1,4,2,0,4,1,2,5,6,2,7,8,2,5,4,7,4,5,0,5,3,1,4,2,2,4,3,4,0,1,0,4,3,4,0,3,1,1,0,3,1,0,2,1,1,4,1,3,3,1,2,1,2,1,1,1,1,0,1,1,2,2,2,4,3,2,0,0,3,0,3,1,2,3,2,0,2,0,0,1,0,0,2,3,0,1,1,0,3,2,2,3,0,1,0,3,2,1,1,2,3,1,3,1,0,1,1,1,5,2,4,1,3,0,1,2,0,1,0,1,0,0,1,0,2,1,1,3,2,1,1,0,2,1,3,3,0,3,2,1,3,1,2,3,0,2,2,4,2,3,2,2,3,1,0,1,3,3,2,1,2,3,5,5,1,5,2,2,4,0,3,0,1,0,0,0,0,2,1,1,1,1,1,1,2,3,1,3,3,2,0,4,4,1,2,3,3,4,0,1,4,3,1,1,1,3,0,2,3,2,5,0,1,1,1,1,2,1,2,2,2,0,0,3,0,0,0,0,2,1,1,0,3,1,2,1,1,1,3,4,4,2,1,2,2,2,3,3,2,2,1,3,2,3,1,1,3,0,0,0,2,1,0,1,0,1,0,2,4,0,2,3,1,2,5,4,2,5,7,2,5,5,6,1,9,8,8,7,12,10,3,0,3,0,1,2,2,1,0,2,1,2,3,1,0,2,4,2,0,1,1,2,1,0,0,0,2,3,3,3,1,2,3,1,3,0,0,1,1,3,0,2,0,3,0,1,1,0,0,2,0,1,2,0,0,0,2,1,1,0,1,4,2,0,0,2,2,1,4,3,2,3,2,3,0,3,1,1,1,3,4,3,3,3,5,1,2,6,1,4,3,4,3,5,5,0,1,1,1,2,8,3,3,0,0,0,0,0,0,3,2,2,0,0,4,1,0,3,2,1,4,0,1,1,2,7,0,2,1,3,2,1,2,1,3,3,2,4,1,0,3,3,3,1,3,3,0,3,2,0,2,2,0,0,0,1,3,2,3,2,3,3,2,3,3,2,3,2,2,0,0,1,0,0,0,1,0,0,0,0,3,1,3,2,0,3,0,3,1,1,1,2,3,1,2,1,1,1,1,2,1,1,1,3,2,3,1,0,1,0,0,1,0,3,3,0,1,1,1,1,0,2,2,1,2,1,1,1,1,2,0,2,0,0,2,0,3,3,0,0,0,2,0,0,0,1,1,1,1,1,2,2,2,3,1,1,0,2,3,1,3,1,2,2,3,3,2,4,1,3,0,2,3,1,3,4,1,1,3,2,0,2,2,2,2,1,1,1,2,4,4,3,3,0,1,3,0,0,1,0,3,3,0,2,2,1,2,4,1,2,0,3,4,3,3,4,2,4,1,2,3,1,3,1,3,2,3,0,1,1,2,2,0,1,3,1,1,1,0,1,3,1,0,3,3,4,3,2,0,1,3,2,0,1,4,2,3,3,2,3,3,2,2,2,2,3,3,1,0,2,0,2,1,1,0,3,3,2,1,1,2,9,4,1,5,6,7,6,0,2,1,3,1,6,4,3,4,1,4,0,6,7,3,3,0,2,2,0,1,0,1,0,2,3,3,4,0,1,0,1,1,0,1,4,2,0,1,1,3,1,1,2,2,1,2,3,1,3,1,2,2,1,3,2,1,0,4,3,1,1,1,3,4,2,2,2,2,0,3,4,0,3,0,0,1,0,2,2,3,0,2,3,0,0,2,0,1,0,2,3,3,2,3,1,0,2,0,3,4,2,4,0,3,2,0,2,1,0,1,0,4,1,1,2,0,4,3,3,0,4,2,1,0,1,3,3,2,3,2,1,0,3,1,0,0,0,2,1,0,2,3,1,0,0,1,0,2,2,0,2,3,5,2,6,2,1,2,4,3,6,6,5,5,1,0,0,2,1,2,0,2,2,0,1,2,2,0,1,2,1,3,2,3,3,3,3,3,3,1,0,0,2,1,0,3,1,0,0,3,0,1,2,3,0,2,1,0,2,1,0,2,2,1,4,3,3,0,1,3,2,7,1,7,4,0,1,2,3,4,1,4,4,5,4,3,4,1,2,1,1,1,1,3,5,1,0,0,2,2,3,2,1,1,1,0,2,1,1,0,1,0,2,4,1,1,1,2,1,0,1,0,0,3,2,2,1,6,2,3,1,1,2,3,2,1,0,7,5,12,1,6,1,2,1,3,2,2,2,0,1,3,3,0,2,2,3,0,5,6,1,3,3,0,1,1,4,5,4,1,8,11,7,5,11,4,7,3,0,1,3,1,3,2,0,7,4,0,7,7,2,5,6,8,10,1,7,0,0,1,1,2,4,2,2,2,3,4,4,5,2,0,1,0,0,1,1,3,0,1,2,2,1,1,4,2,1,0,2,4,3,3,4,1,1,0,2,2,2,2,4,6,3,5,5,5,3,5,3,4,3,10,0,1,2,0,0,0,1,0,3,1,2,4,1,2,4,3,3,1,6,3,2,3,5,3,2,7,4,4,7,2,4,0,1,4,0,3,2,5,5,1,2,1,2,2,0,2,0,4,4,4,4,6,2,1,3,0,5,4,7,7,2,3,15,3,3,2,3,6,1,1,2,0,0,0,3,0,3,1,0,0,1,3,1,1,2,2,3,3,5,1,5,3,3,1,3,3,2,1,1,0,1,1,3,2,2,2,4,1,1,1,3,1,2,0,6,2,5,3,3,2,2,1,2,3,2,3,4,3,0,2,0,1,2,0,4,3,1,3,3,5,3,1,0,4,0,1,4,1,5,3,1,0,0,1,3,0,0,1,0,2,3,0,1,3,3,3,2,3,2,2,3,3,0,4,3,3,3,2,1,3,4,3,3,1,1,0,2,2,6,3,6,2,3,3,3,8,1,1,0,1,0,0,0,0,1,0,0,2,1,3,3,1,1,0,1,1,2,3,2,0,2,2,0,0,2,0,0,1,1,2,1,2,3,1,1,2,2,2,1,3,0,1,2,2,2,3,5,0,1,2,4,0,3,0,3,0,4,1,0,3,0,1,2,3,2,2,2,3,2,1,1,1,3,1,3,0,0,0,1,0,0,3,0,1,2,1,3,0,2,2,0,3,0,0,2,1,2,1,2,4,3,3,3,0,2,0,1,2,2,2,3,2,3,1,3,4,3,5,4,4,2,4,0,4,3,1,0,0,0,0,4,0,1,1,4,3,2,1,0,0,0,1,1,0,1,3,0,0,3,3,0,3,0,5,2,3,4,1,0,1,0,0,3,4,3,4,3,1,1,4,2,2,0,3,0,1,1,3,7,3,1,3,1,4,4,0,7,5,2,4,1,7,6,0,6,6,3,2,3,6,4,0,0,1,2,3,4,0,3,4,4,1,0,0,2,0,6,6,4,2,2,7,1,3,1,2,2,3,3,3,6,6,5,1,3,0,0,0,0,1,3,0,4,0,3,1,4,5,1,2,0,0,0,0,3,3,0,0,2,2,2,1,3,3,0,3,2,2,0,1,0,1,3,0,1,0,2,2,0,1,0,1,3,5,1,0,3,1,0,2,2,2,5,3,4,4,0,0,0,0,1,3,3,0,4,0,3,0,2,0,1,4,0,0,0,2,3,1,0,3,2,2,1,0,2,1,2,2,4,1,0,2,5,1,3,2,0,4,2,3,2,1,4,2,4,1,1,2,4,5,1,1,3,4,4,0,0,4,3,0,1,0,0,0,2,1,2,1,0,1,0,1,3,0,0,4,2,1,2,2,2,1,1,0,2,2,1,3,3,1,3,1,3,1,1,1,4,4,2,0,0,2,4,0,2,1,0,2,7,5,4,3,6,4,3,5,7,2,1,4,2,9,9,2,2,2,2,3,3,3,2,7,1,0,1,3,0,1,0,3,1,0,1,2,3,3,2,0,1,2,0,2,1,0,1,2,3,3,2,0,1,1,3,2,2,1,1,2,4,2,1,3,1,2,0,0,1,3,4,3,2,0,3,3,2,2,1,2,1,3,0,0,1,3,2,2,4,3,4,1,4,4,3,5,4,4,4,5,2,0,1,2,4,6,2,0,3,1,2,0,0,1,4,2,5,2,5,1,1,1,1,3,2,4,3,3,3,4,2,3,1,1,3,4,3,3,2,1,5,3,1,2,4,3,1,3,2,2,2,5,2,4,3,4,2,0,1,1,0,1,0,1,2,2,1,4,4,3,3,5,5,3,4,5,3,0,2,4,3,3,2,0,0,0,0,0,2,1,2,0,4,1,0,0,2,5,1,2,3,2,0,1,3,1,8,1,4,6,9,1,6,7,1,4,2,2,0,4,1,7,5,7,8,5,9,6,4,5,6,9,9,12,2,2,2,4,2,3,1,6,5,0,1,0,0,0,3,1,0,3,0,2,6,1,1,1,5,3,3,2,1,5,3,2,2,3,1,1,1,3,2,2,3,3,4,4,5,1,2,1,2,2,0,2,3,2,2,2,5,2,2,2,0,1,2,1,4,3,5,5,2,5,2,1,5,1,5,4,5,1,3,2,3,5,8,4,3,4,6,4,3,3,4,0,3,2,3,1,0,2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2,2,1,2,2,3,3,4,4,5,2,3,6,5,2,0,4,3,0,2,2,3,4,2,1,1,3,1,4,1,5,1,2,3,5,2,3,8,1,5,7,15,16,3,2,5,3,2,1,1,2,0,3,1,2,1,3,2,3,3,3,0,2,3,1,3,5,3,1,4,1,3,1,0,2,3,2,1,5,2,4,3,3,2,0,0,1,0,6,0,4,3,2,1,0,2,5,2,2,5,2,4,1,2,1,3,1,4,3,3,3,1,1,0,0,3,1,0,3,0,0,4,1,2,3,2,3,3,2,2,3,1,0,1,1,3,3,0,4,0,2,1,3,3,1,3,1,1,0,2,3,2,3,0,1,1,0,1,3,2,1,2,3,0,3,1,2,6,2,7,4,3,1,6,4,9,0,0,4,1,1,0,2,3,1,0,1,0,0,2,2,1,1,2,2,2,0,1,3,3,1,2,1,1,1,3,1,0,2,1,1,0,1,3,1,3,3,3,3,4,2,3,2,1,0,2,2,4,0,3,2,0,4,0,3,3,3,3,3,1,3,3,3,0,2,4,3,3,1,1,6,0,3,2,0,0,1,0,2,0,1,2,0,3,3,0,3,2,3,3,3,1,2,1,5,2,1,5,2,1,1,2,1,1,2,3,1,5,3,0,4,0,3,0,3,5,3,5,1,2,1,4,1,1,1,3,3,2,5,0,0,1,1,0,0,1,0,0,3,2,1,1,1,0,1,0,2,2,3,3,2,4,1,2,3,1,2,0,3,3,1,1,3,6,11,1,0,1,2,2,1,5,1,1,7,2,2,7,6,3,0,2,0,2,1,3,3,3,2,0,2,2,5,1,5,2,2,3,7,5,6,1,2,2,0,1,1,0,0,2,2,2,1,2,2,0,1,3,4,1,1,3,3,5,2,0,2,0,1,1,0,0,0,1,0,1,1,2,1,1,2,1,0,1,0,4,1,2,1,0,0,1,1,1,0,2,2,1,0,3,2,1,3,3,2,1,2,5,4,1,2,4,2,4,1,5,3,4,4,1,1,3,6,1,4,3,6,4,5,0,2,0,3,2,5,2,0,0,4,0,4,1,0,1,2,3,3,1,4,2,3,4,3,0,1,1,0,0,3,0,3,1,4,2,4,3,2,1,2,1,1,3,2,1,5,4,5,4,1,3,1,2,3,2,2,3,1,1,4,3,2,4,0,2,4,1,1,1,0,0,4,1,3,5,4,4,5,3,1,3,2,4,1,3,3,3,3,3,2,3,2,1,2,0,0,5,2,4,1,3,0,5,1,3,3,4,2,6,9,2,0,0,5,2,2,2,2,5,1,1,1,1,2,4,0,0,2,1,2,5,8,6,7,5,0,3,1,7,2,0,8,3,1,3,12,1,2,2,2,2,1,2,1,4,3,2,3,3,2,1,7,4,3,1,0,3,0,1,0,0,1,2,0,3,4,0,3,1,3,3,3,3,1,1,0,1,2,0,2,3,2,1,3,1,3,2,2,0,1,2,0,4,2,4,3,1,2,1,2,3,0,0,2,2,2,0,1,1,3,2,3,1,3,1,0,1,4,4,3,2,1,3,0,1,0,1,2,0,0,3,4,4,4,0,1,3,2,4,1,1,2,3,3,1,0,2,2,3,3,0,2,1,4,2,4,3,2,3,1,2,1,4,4,3,4,4,2,2,3,3,4,5,2,2,3,3,2,3,4,3,2,5,1,2,1,2,3,4,4,3,3,5,2,3,5,2,4,5,3,0,5,3,3,1,5,2,4,0,4,4,1,4,1,0,2,2,0,0,1,3,1,1,1,1,0,1,2,2,2,4,1,4,3,6,6,6,1,3,3,5,7,5,5,2,6,1,2,2,3,3,8,5,1,2,6,1,1,9,11,4,1,9,5,13,13,2,4,7,2,7,1,5,8,3,6,2,5,4,0,2,3,3,6,3,2,0,0,0,2,5,1,1,0,3,4,0,2,2,1,1,2,3,2,4,1,0,4,5,2,6,3,4,5,0,3,1,0,1,3,0,4,0,1,2,4,2,3,4,3,2,5,2,1,2,3,3,3,2,3,2,4,5,7,7,8,8,1,3,2,1,1,1,1,2,7,8,8,3,2,2,2,2,2,4,4,0,2,2,0,0,0,0,0,3,1,4,3,3,4,2,4,4,2,0,4,2,5,4,0,4,3,4,2,2,3,4,2,2,2,5,0,7,3,5,2,5,5,2,5,5,4,4,6,3,6,1,0,2,3,8,6,7,3,2,2,2,7,5,1,2,5,4,4,4,7,5,1,0,2,4,3,3,3,3,0,0,2,2,0,0,0,0,2,2,5,0,1,3,4,2,2,1,1,0,0,1,4,1,2,1,4,6,0,4,4,4,2,3,3,6,3,3,2,0,4,0,0,2,3,1,2,1,4,4,5,3,1,1,1,2,3,4,0,4,2,1,4,2,3,3,3,2,3,0,4,1,4,0,0,3,2,2,2,0,3,3,1,2,1,0,0,2,2,2,1,0,3,1,3,3,2,1,2,0,3,2,3,0,1,1,3,0,2,3,4,4,5,0,0,3,2,3,2,0,1,0,1,2,0,0,3,1,0,1,1,2,1,1,1,3,1,0,1,2,1,3,4,0,1,1,0,0,2,1,1,1,1,2,1,0,3,2,1,1,3,1,1,2,1,0,2,0,0,1,0,1,1,2,1,0,2,1,0,0,1,1,3,3,3,2,2,3,3,0,1,3,1,2,2,3,2,5,2,3,3,1,2,3,2,4,5,3,4,0,1,2,0,0,1,0,1,0,1,0,0,1,0,2,1,0,2,1,0,3,3,1,1,2,2,2,0,1,1,1,2,1,2,3,3,2,4,2,5,5,4,1,1,3,1,2,1,0,2,2,0,1,2,2,0,3,3,0,2,0,3,3,1,2,4,1,3,2,1,0,1,3,0,0,3,0,3,2,1,0,0,4,2,1,2,3,0,7,0,2,8,6,6,9,12,9,7,2,0,1,5,2,0,3,1,2,0,2,1,0,2,1,0,0,0,3,0,1,1,3,3,3,4,1,0,1,0,1,1,1,2,1,3,1,1,0,0,0,3,0,1,2,1,2,1,0,1,0,1,2,3,3,1,1,3,3,3,1,3,0,1,3,0,2,0,2,1,3,1,4,0,0,4,1,6,2,2,1,0,0,0,1,0,1,0,0,1,0,4,4,0,1,4,7,0,2,2,1,2,3,0,2,5,1,1,0,2,3,3,3,3,4,3,1,1,2,1,3,1,3,2,3,2,4,0,1,0,3,2,2,2,0,2,2,2,4,1,3,2,2,1,3,1,3,3,1,2,2,1,0,1,2,3,1,0,2,3,3,3,0,0,1,0,2,1,1,2,0,1,2,2,2,1,0,3,2,4,4,0,3,0,1,3,1,2,3,1,0,1,0,2,1,1,1,2,3,1,1,1,0,0,2,2,0,3,3,1,2,2,2,3,1,1,1,1,0,0,1,1,1,1,0,2,3,1,0,0,2,3,0,3,1,2,3,1,0,3,1,1,3,1,0,2,1,2,3,4,0,3,3,2,1,1,3,4,4,3,1,3,4,4,2,4,2,2,3,2,4,2,3,1,5,1,1,0,1,0,4,4,2,3,0,2,1,1,1,3,2,1,3,3,2,3,3,2,3,3,1,2,3,3,4,4,3,3,3,1,1,1,0,3,1,3,3,0,0,0,0,1,3,0,1,2,0,1,3,0,0,3,0,3,2,2,0,1,0,0,3,2,0,0,1,0,2,3,1,1,2,3,2,2,2,3,1,4,3,1,2,0,2,1,0,2,0,1,1,1,2,1,2,3,3,3,2,1,0,2,0,1,3,3,0,1,0,5,1,3,3,5,3,8,1,1,3,0,0,1,1,3,2,0,1,0,1,2,1,2,1,0,3,2,2,2,0,1,2,0,0,1,2,2,1,2,1,0,4,3,1,3,1,1,1,0,1,4,3,4,0,1,1,0,3,1,2,1,1,0,4,3,2,4,1,2,4,2,1,1,4,1,3,2,4,5,1,2,2,0,0,2,3,1,4,2,0,1,2,1,4,3,1,7,3,2,4,1,2,0,1,2,2,0,2,0,2,0,0,0,2,2,1,1,1,0,1,2,0,2,2,0,0,2,3,0,4,3,2,3,2,4,10,1,0,0,3,4,2,2,0,2,0,1,0,1,3,0,1,2,0,3,3,0,1,1,1,1,1,0,1,1,0,0,1,3,4,0,0,1,2,2,3,3,3,3,0,0,2,2,0,0,2,3,1,0,0,1,1,2,1,0,2,2,1,3,1,1,2,2,1,2,4,7,0,2,3,2,2,8,7,0,0,3,2,2,2,2,4,3,3,1,1,1,1,2,1,1,0,2,2,2,3,1,1,2,1,0,1,2,0,3,0,1,1,2,3,2,0,11,0,11,0,4,4,3,2,1,3,3,6,0,3,9,2,1,7,7,5,7,9,3,13,6,11,7,8,3,1,6,1,5,2,5,3,1,2,8,3,3,9,5,0,3,1,0,3,3,3,3,0,1,1,0,1,2,1,3,3,0,1,1,0,1,2,3,3,2,0,3,4,1,1,8,5,3,8,6,9,1,1,1,3,1,5,1,2,2,2,4,2,7,0,2,6,3,7,4,1,2,0,4,2,6,2,2,0,3,4,3,3,0,3,6,2,7,2,3,3,7,2,9,12,11,13,1,0,0,0,1,0,2,3,1,2,3,0,4,2,1,4,0,1,2,1,0,4,1,3,2,6,2,2,2,2,3,1,1,1,0,2,0,0,0,0,1,3,4,2,1,1,4,1,3,2,1,7,4,2,3,1,3,2,5,4,2,4,2,3,3,5,1,0,2,0,3,4,3,2,2,3,0,3,0,0,3,1,0,0,3,1,0,3,3,2,5,1,5,1,2,3,3,2,4,9,6,9,0,7,3,0,4,0,1,0,0,0,2,2,1,0,1,1,1,2,1,3,2,1,2,2,0,3,1,3,1,1,3,2,1,3,2,5,2,3,3,4,2,0,1,2,2,4,5,1,3,0,3,2,2,0,0,3,3,2,1,3,4,4,4,0,0,3,1,2,3,1,0,2,1,0,3,0,1,1,2,1,0,3,4,2,0,1,1,3,2,2,4,2,0,1,5,4,1,0,0,1,0,3,5,4,3,2,3,4,4,2,1,2,4,0,4,3,5,5,5,0,3,1,1,1,4,2,0,2,2,1,1,0,1,1,2,2,0,2,3,12,3,0,1,3,1,5,0,2,1,1,1,1,7,2,1,11,2,3,3,1,1,3,1,1,1,2,3,1,5,6,3,6,0,4,1,1,0,1,6,5,0,2,1,0,2,2,1,2,1,6,3,0,3,0,2,3,3,1,1,0,2,1,4,1,0,0,0,1,0,1,3,0,0,4,1,3,3,1,0,3,4,2,2,2,1,1,0,2,1,0,2,3,2,3,1,1,1,3,0,0,2,2,2,2,1,2,1,0,5,3,1,1,4,4,1,4,5,1,1,2,3,0,3,4,5,4,1,0,3,5,1,2,4,3,4,0,2,3,4,2,4,3,4,4,0,1,1,0,3,3,3,3,2,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5,2,4,2,2,5,5,3,3,0,1,1,1,2,2,3,3,5,3,3,3,1,3,1,2,0,6,5,0,1,2,0,3,0,3,5,6,6,12,2,8,4,2,12,8,2,0,1,5,1,1,5,1,1,3,3,0,2,3,3,3,4,3,3,3,3,3,5,1,0,1,1,1,1,2,3,3,3,4,2,3,3,0,1,4,0,3,2,5,3,5,6,0,0,0,2,1,5,0,0,5,4,0,2,3,5,0,3,3,1,2,3,5,4,4,2,6,2,1,7,6,3,2,5,5,3,4,2,5,1,1,1,0,5,3,4,4,3,1,0,4,1,3,4,2,7,2,2,3,1,5,5,6,1,0,1,1,0,3,1,0,1,0,2,2,2,1,3,3,3,2,3,1,3,2,1,1,3,3,0,0,0,0,2,1,1,1,1,1,1,1,1,2,1,1,2,0,3,3,3,0,0,1,0,2,0,1,2,2,1,1,4,2,1,1,1,4,4,2,2,4,1,2,3,1,2,0,0,1,2,1,3,3,1,1,0,0,0,1,3,2,2,1,0,1,1,1,0,1,0,0,2,0,3,2,1,3,2,3,1,1,3,3,2,1,2,2,1,4,1,0,5,0,0,1,1,2,10,12,13,1,0,3,2,6,7,6,4,2,3,9,9,10,0,5,1,0,0,2,3,3,3,2,1,2,1,3,1,4,3,3,2,0,3,0,1,2,1,0,2,0,1,3,0,3,3,3,3,1,2,3,1,2,0,3,3,1,0,1,1,3,2,2,0,1,2,1,3,2,2,0,3,3,8,1,0,3,2,3,3,1,0,4,4,1,1,1,1,2,2,3,0,0,4,1,3,1,3,2,5,1,3,1,3,3,3,4,3,2,2,1,4,3,4,4,1,0,2,0,0,1,3,2,2,3,1,1,2,0,0,0,0,3,1,1,0,3,0,3,1,3,2,1,3,3,1,2,0,1,3,2,0,1,1,0,0,3,1,1,1,1,0,2,3,1,1,3,1,3,3,3,0,0,0,3,0,0,0,2,2,3,3,4,4,1,3,4,4,1,1,2,0,0,2,2,2,1,0,0,2,3,2,3,3,2,2,1,0,1,0,4,0,1,1,0,0,1,3,0,0,0,2,1,0,1,1,4,0,2,0,2,3,2,2,0,2,2,1,3,2,3,0,0,3,1,1,2,2,4,4,1,2,4,3,0,2,0,1,1,3,2,1,3,2,2,2,3,2,1,4,4,3,1,3,8,0,3,3,5,6,2,1,1,1,4,5,6,6,2,1,0,0,1,3,2,1,3,3,1,0,0,2,4,2,0,0,3,0,0,0,2,2,3,3,0,3,2,0,1,2,3,2,2,0,2,2,0,1,3,3,2,2,4,1,1,1,3,2,4,2,2,3,0,2,0,4,3,1,0,3,6,6,1,4,5,3,0,3,2,4,1,1,1,4,4,4,3,4,3,3,1,3,0,2,1,2,2,2,3,2,2,1,1,1,1,1,1,3,3,2,0,2,4,2,1,2,5,3,9,10,2,6,2,1,6,0,2,3,3,2,3,1,2,0,1,0,1,1,3,1,3,2,3,1,1,3,3,1,0,3,4,0,2,1,0,3,1,1,1,0,2,1,2,1,3,3,1,2,1,2,6,4,0,8,2,2,0,1,1,2,3,4,5,3,6,9,1,0,0,2,2,4,4,1,1,3,1,2,2,1,2,2,1,0,1,4,1,3,2,2,1,4,1,6,5,3,3,2,2,3,1,5,4,0,5,5,6,6,4,8,6,1,6,1,3,1,6,1,4,3,2,9,3,9,3,4,0,0,1,0,0,1,2,2,2,3,2,3,4,1,6,1,2,4,4,6,9,5,5,3,0,1,2,0,3,5,1,2,0,9,7,4,5,7,8,1,1,1,1,1,6,3,2,2,1,4,1,1,3,5,6,0,2,2,1,1,3,4,5,15,6,2,2,2,1,0,7,3,0,4,1,1,0,4,3,3,1,3,2,3,2,4,2,2,1,3,6,2,3,4,5,0,1,3,0,0,1,2,3,1,3,1,4,5,1,2,4,4,1,6,2,4,3,1,3,0,3,2,3,1,3,3,5,1,5,1,3,4,3,1,0,2,2,2,2,3,3,3,2,3,0,0,1,1,2,1,2,2,0,1,2,3,1,0,1,3,1,1,2,2,0,1,2,1,2,1,1,2,1,7,0,2,3,0,0,0,0,3,2,0,0,1,2,3,3,6,3,7,5,12,3,3,2,2,8,3,4,2,1,0,1,2,0,1,0,2,1,3,3,2,3,2,1,1,2,0,2,1,2,3,1,5,2,4,1,5,0,3,5,0,2,1,0,0,4,1,0,2,2,3,3,2,1,0,1,4,5,3,1,3,1,3,3,3,1,1,1,1,1,5,1,1,1,3,2,3,3,1,0,1,1,0,1,2,2,4,1,1,2,4,2,2,3,1,3,2,5,2,1,0,3,0,2,1,2,3,0,0,2,2,3,0,1,4,3,1,3,3,0,1,7,5,6,4,7,0,3,1,1,5,6,0,4,2,0,2,2,1,1,2,1,3,3,2,3,0,1,1,3,2,4,0,2,2,0,1,4,0,2,1,1,1,3,3,1,1,0,2,3,1,1,1,2,1,1,1,1,0,2,0,1,0,3,2,1,2,1,2,2,1,2,2,1,4,0,5,2,1,3,3,2,1,1,0,0,1,2,2,0,0,2,1,3,3,4,2,3,4,0,0,3,2,4,2,3,0,3,3,0,2,3,0,4,1,3,2,3,0,3,3,1,1,2,2,1,1,1,2,4,0,0,2,1,2,3,4,1,0,1,3,3,0,3,3,3,2,5,3,4,5,5,6,2,10,0,5,2,6,8,1,12,6,5,0,1,3,3,1,1,2,4,3,2,4,3,6,0,0,1,1,1,0,0,3,0,3,4,1,1,0,1,2,2,1,1,1,2,0,2,4,1,3,2,3,2,3,2,2,3,0,3,3,3,3,3,1,1,3,3,4,3,3,3,0,1,5,3,5,2,2,5,5,2,0,0,2,0,1,3,0,1,0,2,1,5,0,3,1,2,4,2,0,3,3,3,1,2,4,5,4,4,4,3,5,4,3,5,3,5,2,3,2,2,5,4,5,3,4,3,0,4,2,4,4,2,5,4,3,2,5,5,4,5,4,4,5,1,2,4,2,1,4,2,4,3,4,4,5,1,4,2,2,2,1,2,2,3,3,3,10,2,5,1,4,2,0,6,5,7,2,2,1,9,2,8,9,0,2,11,8,6,0,2,1,2,5,4,1,1,4,0,3,0,1,1,2,2,1,0,1,4,3,3,1,4,5,0,1,3,3,1,0,4,4,3,4,3,1,4,4,4,2,1,1,3,4,4,3,1,2,4,1,1,1,4,4,7,2,4,5,8,4,4,6,7,0,1,0,3,3,3,5,0,0,0,3,0,0,3,4,2,1,3,0,1,1,2,1,3,5,0,2,2,3,1,5,3,2,7,2,6,7,3,6,4,6,7,5,3,6,2,6,4,1,7,2,4,6,1,4,5,3,4,1,3,3,3,0,2,0,1,1,2,0,1,3,3,1,5,2,3,4,4,2,2,5,2,2,3,3,3,4,4,4,4,3,1,4,1,4,6,7,6,5,3,2,3,2,1,3,1,0,4,1,1,1,3,0,3,0,3,1,1,2,0,2,3,2,0,0,2,4,3,3,0,4,2,3,0,0,2,2,1,3,0,2,2,2,0,0,0,0,1,0,0,1,1,1,0,1,0,3,3,2,2,2,0,1,1,2,0,0,0,0,0,4,2,3,1,1,2,2,3,2,3,2,3,4,1,3,3,2,2,0,0,1,1,0,2,0,1,1,0,0,2,2,1,2,2,2,3,2,2,0,1,1,0,0,1,0,1,1,2,2,1,2,0,1,2,2,2,3,4,1,1,0,0,1,0,1,1,5,3,3,11,10,10,10,6,3,3,7,0,3,7,3,3,9,13,2,4,2,1,2,2,2,1,2,3,3,1,2,0,0,1,3,3,3,1,4,4,5,1,0,2,0,0,4,1,1,3,0,0,1,3,0,0,1,4,1,0,3,2,1,3,1,0,1,1,1,1,0,1,1,3,3,1,1,1,1,3,1,3,3,1,1,2,0,0,1,2,2,2,2,3,1,1,3,1,2,1,0,1,1,3,2,1,3,5,3,4,4,4,3,0,0,0,0,0,3,0,0,1,0,2,3,3,1,1,0,3,4,1,1,1,1,3,1,1,2,1,3,2,3,1,3,5,1,0,0,0,1,2,2,1,2,0,2,2,2,3,4,1,2,1,1,0,0,0,1,2,0,1,1,1,1,3,1,3,0,0,1,1,2,2,1,3,1,0,3,1,0,2,2,3,2,2,3,0,2,4,2,0,3,3,0,1,1,0,3,0,1,2,2,3,2,2,2,0,1,1,4,2,0,2,0,2,1,3,0,3,2,2,0,0,2,1,0,2,3,2,0,0,1,2,1,2,0,3,3,4,2,3,3,2,2,3,3,4,4,1,3,2,1,0,2,1,3,2,3,2,1,3,2,1,2,3,2,5,4,2,2,0,2,1,1,0,0,2,1,1,2,1,1,3,1,1,2,0,0,1,0,0,1,3,0,1,1,3,2,0,2,2,2,2,3,2,2,3,0,2,0,0,1,2,0,1,2,1,2,2,4,6,5,1,4,0,6,8,1,3,4,3,1,3,5,3,3,6,2,0,5,2,3,3,0,0,1,2,2,3,0,3,1,0,0,2,1,0,1,2,1,4,2,0,2,1,1,0,2,1,4,3,1,2,0,3,2,5,3,1,3,2,1,0,4,2,2,1,1,3,2,2,3,0,2,0,0,4,1,3,1,4,0,3,2,2,0,1,2,2,5,0,1,2,1,3,2,4,3,2,6,3,2,1,2,2,3,2,3,1,3,3,2,0,3,1,2,3,0,3,2,0,1,6,0,0,3,3,3,1,0,2,3,1,1,0,0,2,3,1,2,3,0,3,2,2,2,1,0,2,0,3,0,1,3,1,2,1,1,4,1,1,1,2,0,1,7,2,3,2,2,1,9,4,2,3,4,0,5,1,3,0,0,1,3,2,0,3,1,3,3,2,0,3,1,4,2,3,2,3,1,1,11,8,5,3,3,2,0,7,4,5,1,11,1,3,5,0,3,0,0,0,7,5,4,0,5,8,2,0,0,6,3,5,3,4,12,6,6,2,3,6,1,7,3,1,5,1,1,6,2,6,4,1,3,2,3,1,0,3,4,1,3,1,3,2,2,2,3,1,0,1,2,0,2,1,0,2,2,4,6,6,5,5,2,1,1,0,5,6,3,4,1,4,1,5,7,6,0,4,1,4,4,0,3,5,2,5,3,2,2,1,0,2,0,0,1,0,2,1,1,3,3,7,2,2,4,1,1,1,0,4,4,1,1,1,2,3,3,1,1,2,2,2,1,2,2,5,4,2,1,0,2,1,0,1,2,3,1,7,1,0,0,0,2,1,3,2,1,1,1,3,5,3,3,2,2,2,0,1,1,3,1,3,2,3,0,3,1,3,3,1,3,1,3,11,2,1,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4,3,1,1,3,4,3,3,2,3,3,5,2,3,2,0,1,0,6,2,1,1,2,0,2,3,1,1,4,1,4,3,3,4,4,3,2,3,4,2,2,4,1,5,4,1,2,2,2,0,4,3,4,4,4,4,4,4,0,0,2,0,0,0,2,0,1,0,2,3,3,1,4,2,3,0,5,4,2,3,1,0,6,6,2,3,1,0,1,2,1,0,10,3,4,8,10,2,7,6,1,2,8,6,4,1,5,5,5,6,2,4,0,1,1,4,1,1,2,1,1,5,2,1,3,3,5,2,2,4,0,1,1,1,0,5,2,2,2,0,5,3,2,5,3,3,3,1,3,5,5,1,0,4,0,4,4,1,0,0,0,2,3,2,4,1,1,1,1,3,4,2,0,2,2,1,3,2,3,4,1,2,4,2,3,1,4,3,6,3,4,1,4,7,3,2,3,4,7,7,7,5,3,3,6,4,4,3,5,3,3,7,6,6,5,2,8,4,4,4,3,4,4,1,0,0,0,0,1,1,4,2,2,3,0,2,3,1,4,4,5,2,1,3,1,1,3,5,0,4,1,4,2,4,2,2,4,4,4,2,5,4,2,6,0,0,3,2,3,2,0,4,4,2,3,0,2,0,1,0,1,0,3,0,0,0,2,1,1,1,1,0,0,1,1,2,3,2,1,3,3,0,1,2,2,4,0,2,2,2,0,1,1,3,3,3,0,2,2,3,4,4,0,0,0,0,0,0,0,0,0,1,0,3,2,3,2,0,1,2,3,0,2,0,1,2,3,2,2,0,1,0,1,1,0,1,4,1,3,1,2,4,2,1,1,1,2,1,2,1,2,1,1,1,3,3,2,1,1,3,0,2,1,1,0,4,1,2,2,1,2,2,1,3,2,1,2,5,1,2,4,5,0,2,3,1,3,2,0,1,1,0,2,1,2,0,3,0,1,2,3,1,1,3,2,2,3,2,4,2,1,3,0,5,4,2,1,2,4,4,1,2,5,0,8,5,2,7,3,5,7,10,8,1,2,0,6,8,6,3,4,3,10,11,9,8,9,9,8,12,6,3,4,3,3,2,0,3,3,0,3,1,1,1,0,2,2,3,0,2,0,3,1,1,0,0,0,1,0,2,0,2,3,0,2,0,2,0,1,2,3,1,3,2,0,1,2,1,2,3,3,1,2,2,2,2,2,2,1,3,3,3,2,3,4,3,1,1,4,1,0,3,1,2,3,0,0,0,2,1,0,0,1,4,0,3,3,1,1,1,1,1,2,1,0,4,4,1,4,3,3,3,1,0,0,1,3,1,2,2,2,2,3,1,0,0,3,3,2,1,0,0,0,0,1,3,2,0,2,4,2,1,2,2,1,0,0,1,3,2,0,0,3,2,2,0,3,1,3,0,1,3,3,3,0,2,2,0,2,3,0,1,1,2,0,2,2,3,3,3,2,1,2,0,0,2,1,2,2,1,0,1,0,3,1,0,2,3,2,2,1,0,2,2,2,1,4,1,2,1,1,3,2,1,2,2,2,3,4,3,3,3,1,4,3,2,1,3,1,1,1,0,3,2,0,1,2,3,2,2,1,1,4,1,2,1,3,3,0,0,3,0,2,3,2,3,1,1,1,1,1,0,3,4,2,1,1,3,1,2,1,1,2,2,0,3,1,3,3,0,4,0,3,2,2,3,1,1,3,3,2,2,6,6,7,0,0,0,2,0,1,2,3,0,1,3,1,2,2,1,3,3,1,4,9,2,4,1,9,6,3,1,5,6,4,5,1,3,1,8,7,0,3,2,0,1,2,0,1,1,2,1,0,0,2,1,0,3,3,1,1,0,0,1,1,3,1,1,3,3,3,1,0,1,1,4,3,2,2,1,2,1,1,3,1,0,2,2,1,0,3,2,3,3,1,3,0,3,1,3,1,1,3,0,2,2,2,2,0,0,4,3,2,2,3,1,5,3,1,0,2,3,0,1,1,0,3,4,1,0,0,0,1,3,2,3,0,6,8,4,7,2,1,5,3,7,0,4,3,1,0,2,1,2,6,0,0,0,0,0,0,3,1,1,3,1,0,1,1,2,3,5,2,5,4,2,1,1,5,3,1,3,2,2,6,3,3,2,4,1,1,0,4,7,0,1,0,0,1,2,0,2,3,0,1,2,1,1,1,2,2,3,2,2,3,3,0,3,2,0,1,0,1,0,1,0,2,3,0,1,0,5,5,6,1,2,5,0,2,9,1,1,5,6,5,2,5,5,0,2,4,4,1,1,0,1,4,0,2,0,0,2,4,3,2,3,0,2,1,1,1,0,2,1,2,3,4,3,3,6,2,1,8,9,10,0,1,0,2,1,3,2,3,6,7,3,4,4,5,0,3,4,5,7,4,2,1,7,9,5,11,2,2,1,4,1,3,1,4,4,5,7,1,1,1,1,1,0,3,1,3,4,0,1,1,0,1,1,1,2,3,3,3,0,4,2,6,1,0,5,7,1,2,4,4,4,6,5,7,1,4,2,4,0,2,3,2,1,2,3,3,2,9,1,3,9,6,0,2,0,4,3,2,1,4,3,1,3,2,1,2,1,3,6,2,2,4,6,13,10,12,4,3,4,10,7,1,2,0,3,2,3,0,0,1,1,1,2,1,0,3,0,3,4,1,5,3,2,1,2,3,4,2,3,1,0,0,1,2,1,3,2,3,4,2,2,3,1,1,1,1,0,3,4,0,6,0,4,1,5,1,1,4,3,3,4,3,2,1,2,2,1,0,2,0,0,1,3,1,4,2,4,3,0,1,0,2,3,0,3,1,3,3,1,4,6,2,3,0,3,3,3,6,0,3,3,1,1,3,0,3,1,3,4,6,3,6,9,9,0,2,1,3,0,3,2,3,1,2,3,2,0,1,2,3,1,2,3,1,1,0,2,2,2,0,3,4,1,0,0,1,3,3,1,0,1,3,2,0,2,1,0,2,2,3,2,0,2,4,1,5,1,0,3,2,0,4,2,4,5,0,0,1,3,2,3,0,2,0,1,2,1,0,2,2,3,0,1,1,2,3,2,1,1,1,0,1,1,1,1,2,0,1,0,2,1,2,2,0,1,1,3,1,2,3,3,3,0,0,0,2,2,2,3,3,2,2,2,2,3,0,1,0,4,0,5,1,2,1,2,2,2,0,3,4,4,3,2,3,2,2,3,1,2,1,2,1,2,3,3,0,1,0,0,3,3,0,1,3,3,1,1,4,1,1,2,1,1,1,1,0,0,2,2,0,1,2,0,4,3,2,1,3,0,1,2,1,6,11,7,3,2,3,4,4,0,3,3,3,6,0,2,4,6,1,1,4,2,0,0,4,0,0,0,0,1,1,0,0,3,6,0,1,2,1,1,2,1,2,3,3,1,2,2,0,1,0,1,0,0,2,2,2,2,2,1,2,3,3,1,2,2,3,1,1,0,1,3,1,3,3,1,4,3,0,1,2,3,2,0,3,3,2,2,1,1,2,5,1,3,2,2,2,2,0,1,4,3,3,3,2,3,2,4,4,4,3,2,1,2,2,2,3,0,2,2,5,2,2,4,4,2,2,2,4,3,0,2,5,5,1,3,3,1,5,3,2,3,3,2,1,2,5,4,2,4,2,4,5,4,6,3,1,3,4,3,5,6,5,2,5,3,4,3,1,3,4,5,2,3,1,2,3,2,4,2,0,5,0,4,2,2,2,0,1,4,1,1,1,1,3,0,0,3,5,0,1,3,2,1,1,2,2,1,0,1,2,6,0,6,1,1,1,3,1,1,0,2,4,4,3,3,6,12,12,2,7,3,5,3,4,4,2,7,3,6,3,1,3,1,2,2,2,3,3,4,4,6,4,0,2,1,0,0,0,1,2,0,2,0,3,3,1,2,1,4,1,2,3,2,4,4,0,1,3,1,3,2,2,1,2,4,1,2,1,4,1,0,1,2,4,0,1,0,1,1,3,1,2,0,1,3,3,5,1,4,1,1,0,4,3,1,3,1,1,4,1,1,2,0,1,0,1,3,2,0,1,5,3,3,4,4,3,2,3,4,3,1,2,3,3,4,2,4,3,5,4,4,3,5,5,0,4,1,5,5,3,3,3,2,2,1,4,4,5,2,5,1,1,4,3,4,4,2,3,5,2,4,2,4,0,3,3,0,2,1,3,2,1,2,1,0,1,3,1,1,3,3,5,0,3,3,4,4,4,3,1,2,4,4,5,3,3,5,3,4,4,2,3,1,0,1,3,3,3,2,3,4,5,2,3,2,1,1,2,2,2,1,1,0,0,0,3,2,4,3,3,1,6,0,5,7,9,2,1,5,1,0,0,4,0,4,5,2,3,5,2,8,7,9,10,6,11,4,8,0,5,2,1,7,7,9,0,1,2,2,3,3,1,5,2,4,1,5,0,3,1,4,2,1,2,2,5,2,1,0,0,0,1,0,0,2,4,4,0,1,4,3,4,4,4,2,4,1,4,2,1,0,4,2,2,6,0,0,4,6,4,2,1,0,0,0,3,0,0,1,0,0,5,3,5,0,3,4,4,0,3,4,2,4,3,4,3,3,1,3,4,3,3,3,5,7,1,2,7,3,3,1,3,6,5,1,8,8,7,3,3,7,4,0,3,4,1,4,2,4,5,3,1,2,4,2,2,3,1,1,3,2,0,1,1,5,1,1,0,0,0,2,3,4,2,1,1,3,3,5,1,1,2,4,1,3,7,1,2,1,2,1,4,4,5,5,3,2,5,4,5,1,3,3,1,5,3,3,4,4,2,1,2,0,0,1,1,3,4,4,4,1,4,3,0,3,3,3,2,1,1,1,0,0,3,1,4,1,0,1,2,1,3,3,2,1,3,4,3,0,2,1,0,2,3,3,4,2,1,1,0,2,1,4,2,1,0,1,0,1,2,1,3,1,3,2,0,3,3,2,1,1,1,0,1,2,3,3,3,3,2,0,3,1,0,1,2,0,1,1,0,1,3,1,2,0,3,0,2,2,2,1,3,1,0,2,3,0,4,3,0,2,4,4,0,3,2,1,1,3,1,1,3,1,0,1,0,4,2,1,3,1,1,1,2,2,1,1,1,4,3,2,1,3,4,3,2,1,3,2,2,2,4,2,0,1,1,1,1,2,2,2,3,3,2,4,0,2,2,0,2,1,0,1,2,0,2,2,0,1,3,0,0,2,1,1,0,1,3,3,4,4,4,4,3,5,3,7,0,6,2,0,0,2,5,2,2,1,4,3,0,2,2,1,0,1,0,1,3,1,0,6,9,2,3,3,11,4,5,9,11,1,0,1,3,6,7,0,0,1,4,5,1,1,4,5,7,4,6,8,8,9,11,12,8,1,2,2,3,3,4,0,2,2,2,2,3,2,1,2,0,1,3,0,2,2,1,0,3,0,0,1,0,3,2,0,2,1,3,0,2,0,2,2,1,2,2,2,3,4,1,2,2,2,4,3,2,2,1,2,1,0,3,3,3,1,3,2,1,1,4,1,3,1,3,3,1,4,1,0,2,3,3,3,4,6,3,4,1,3,0,1,0,0,2,3,1,0,2,4,0,3,2,4,0,1,2,2,4,1,3,1,2,3,2,2,3,0,3,1,2,1,4,2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3,2,2,3,1,1,2,1,1,2,1,0,1,3,0,2,3,0,2,2,1,3,2,2,2,3,1,3,2,5,5,5,5,2,3,0,1,7,8,6,4,3,4,5,4,2,7,9,2,2,3,0,2,0,3,1,0,1,3,1,0,1,2,0,3,4,1,0,2,3,2,3,2,0,1,1,3,4,1,3,1,1,0,1,0,1,4,0,3,1,2,2,2,1,2,1,2,2,2,2,5,0,3,0,1,2,2,3,1,3,0,1,0,1,4,3,2,2,3,1,3,4,4,4,5,1,3,0,0,0,0,3,2,2,0,0,2,1,0,2,3,3,3,7,6,5,1,2,0,4,3,3,3,2,1,0,0,3,2,1,2,1,0,1,1,0,1,1,3,0,2,0,1,5,5,5,3,8,0,3,5,9,10,0,3,4,3,2,1,0,2,2,3,0,0,0,1,0,1,0,3,2,3,1,1,2,3,1,3,3,3,1,3,4,3,4,3,0,2,0,0,2,3,3,0,0,1,3,2,2,1,1,2,0,4,1,3,3,2,4,6,2,1,2,2,3,4,4,8,0,4,3,2,5,2,3,1,3,5,2,0,0,3,0,0,1,4,2,2,5,2,0,3,2,3,0,3,3,2,3,1,3,4,1,1,5,9,2,2,2,4,4,12,12,0,4,3,0,0,2,2,0,1,2,3,3,7,4,1,2,4,1,3,5,8,4,8,10,6,0,4,5,3,6,7,3,6,3,7,6,1,3,1,3,3,1,3,1,0,2,0,1,1,16,2,2,4,4,4,1,1,4,6,2,5,7,8,4,8,0,0,1,0,2,0,4,6,2,3,3,5,4,5,3,4,0,0,4,1,2,0,3,1,2,1,2,1,1,2,2,1,5,3,1,6,3,3,2,4,4,10,7,6,3,15,13,1,1,0,2,0,3,0,0,5,0,5,3,4,5,2,0,4,3,3,2,0,3,3,0,1,3,3,0,0,1,2,2,4,1,1,4,1,2,1,0,1,6,1,4,4,5,4,6,2,3,3,2,4,3,0,1,1,3,2,2,6,2,1,2,2,3,1,4,3,0,0,1,0,0,3,0,1,1,2,3,3,3,1,1,2,1,1,0,3,0,1,2,1,3,1,0,0,4,3,1,2,2,5,6,6,6,4,1,5,6,9,11,0,3,0,2,0,1,3,1,1,0,1,0,0,0,2,2,0,1,1,3,1,1,0,3,3,3,1,0,0,0,2,3,5,2,2,3,0,3,3,2,1,1,2,5,6,2,3,1,0,3,1,2,1,2,1,3,2,3,2,1,0,2,0,3,0,2,3,0,3,0,3,0,1,1,0,1,3,1,1,1,0,2,1,2,1,2,2,2,3,1,0,1,4,4,2,3,4,1,5,1,2,3,1,1,3,3,2,3,3,3,4,2,0,0,3,5,2,3,3,3,1,1,1,3,0,1,1,4,0,3,1,0,1,1,0,2,0,2,1,1,2,2,1,0,2,0,1,1,1,0,0,0,3,0,0,1,2,1,3,3,2,11,1,1,2,2,2,1,1,3,4,0,2,0,2,1,3,2,3,2,6,2,0,6,0,1,1,0,2,2,5,1,3,0,3,5,3,0,5,3,0,0,2,0,2,0,1,1,3,1,3,3,1,2,1,0,2,0,6,2,1,0,0,0,0,1,2,1,2,3,0,3,1,1,2,0,2,4,1,0,2,3,4,2,2,1,1,3,3,1,2,1,0,0,0,5,2,2,1,3,2,1,5,2,4,1,3,6,4,4,4,2,1,4,1,2,4,3,0,2,2,2,2,4,2,3,2,0,2,4,0,5,0,3,0,1,3,3,3,2,4,1,3,0,3,2,5,2,1,1,0,3,1,5,2,1,4,1,3,3,0,2,2,3,0,1,3,1,0,1,2,3,1,5,2,5,0,4,4,2,2,4,2,1,4,4,2,4,4,3,2,0,3,1,3,0,0,0,3,1,4,3,1,3,4,2,0,4,5,8,7,9,5,6,5,2,1,1,3,4,3,6,4,7,11,7,1,1,2,2,1,2,2,1,0,3,6,2,2,0,1,1,0,0,0,0,0,1,3,1,1,1,0,1,1,2,1,1,3,1,3,3,2,4,0,0,1,2,3,3,1,1,2,2,3,2,1,1,2,3,4,1,2,1,3,2,0,3,1,1,2,1,3,3,2,1,0,3,0,2,2,4,3,1,1,3,2,0,4,0,4,3,4,3,2,2,0,3,4,2,5,3,2,1,0,0,2,2,2,4,5,4,4,1,1,4,5,1,2,1,1,4,2,3,3,2,3,2,3,2,4,2,3,1,0,3,0,4,5,2,0,5,4,2,2,4,4,5,5,4,2,1,3,3,4,4,1,1,1,5,1,1,4,4,1,4,3,4,4,2,4,3,2,4,4,5,0,0,3,1,1,0,0,0,3,2,2,1,3,2,2,3,5,3,4,5,5,2,3,5,5,4,5,4,0,1,5,5,0,3,4,1,1,3,3,3,5,2,3,2,0,2,1,1,0,1,2,0,2,2,1,0,1,1,1,3,3,1,7,1,3,4,3,3,9,2,8,12,0,0,1,2,6,2,5,3,0,4,7,7,6,10,13,4,3,5,1,8,4,5,9,5,9,11,5,0,3,1,3,3,2,3,1,0,3,4,3,2,2,1,3,3,3,3,4,5,2,1,0,1,5,0,4,3,1,2,2,1,0,2,2,4,3,2,4,4,3,3,2,2,2,1,4,5,6,2,4,6,6,7,1,0,3,0,0,0,0,1,5,2,4,0,0,1,0,2,2,1,0,2,0,4,1,0,3,0,3,1,0,1,4,0,2,2,2,4,1,4,2,3,5,4,4,2,5,2,4,4,4,1,3,3,2,4,4,7,6,7,7,6,2,4,2,8,1,2,4,3,1,4,4,5,2,1,2,3,3,4,3,4,4,4,3,4,3,2,0,1,0,1,1,0,1,1,0,2,1,0,1,0,3,3,5,1,3,2,4,1,0,4,2,3,3,3,5,4,3,3,3,5,3,3,1,5,2,3,4,4,3,3,4,2,0,2,1,2,4,2,4,3,0,0,4,3,3,1,1,2,0,0,1,3,0,1,0,0,4,0,2,4,1,2,1,1,0,1,0,2,1,3,3,0,1,0,1,0,5,2,3,4,4,0,1,1,2,1,0,2,2,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,3,2,1,2,1,1,0,0,0,0,1,0,3,0,0,0,1,1,1,0,0,1,0,2,2,2,0,0,1,2,1,2,1,0,3,3,1,3,3,2,3,2,1,1,3,0,2,2,2,1,2,0,3,0,1,2,1,1,2,2,0,2,1,0,0,2,3,1,0,3,0,1,2,4,3,1,0,2,2,3,4,3,3,1,1,2,3,2,3,2,1,3,0,1,1,0,3,2,5,0,2,0,2,3,3,3,2,0,0,2,2,1,3,2,1,3,2,1,1,1,3,3,1,1,0,1,3,3,5,5,4,2,1,1,0,0,2,1,0,0,1,4,2,2,4,1,1,1,4,1,1,3,11,1,9,7,11,2,1,2,8,0,6,5,1,0,3,2,3,2,2,3,1,3,2,2,4,1,1,1,3,4,0,0,0,1,0,0,0,2,0,0,2,3,0,0,3,2,3,1,2,3,0,0,1,2,3,2,3,3,1,3,2,2,3,2,3,2,3,2,0,3,0,3,2,1,2,3,4,3,2,3,3,2,7,7,1,5,0,1,3,1,0,2,4,3,3,4,1,1,1,2,0,0,1,0,2,2,2,1,3,1,0,5,5,0,3,2,1,2,3,3,3,1,4,1,3,2,2,2,2,3,3,3,2,3,2,3,3,3,1,2,0,3,2,2,2,3,0,0,3,0,0,1,0,1,2,2,0,1,0,2,1,2,3,2,2,3,2,1,2,2,0,1,3,3,2,1,2,1,3,2,2,3,0,3,0,0,0,0,2,1,3,3,2,3,2,0,3,3,1,1,2,3,3,1,0,3,1,0,0,3,2,1,0,1,3,1,1,0,1,2,0,1,2,3,3,1,2,0,3,3,2,2,1,3,3,2,2,3,0,1,0,2,1,2,0,2,3,1,2,2,2,3,1,3,3,3,1,1,2,2,0,1,1,3,0,2,0,2,3,2,0,2,3,1,1,1,3,1,3,2,1,0,1,2,0,0,0,2,0,2,2,3,2,5,8,8,4,6,2,0,0,0,4,1,2,1,0,0,1,1,2,2,1,2,0,2,0,2,3,3,2,1,1,5,2,0,1,3,0,0,2,1,3,0,0,0,2,2,1,4,1,1,0,1,4,1,0,3,2,0,2,5,3,5,1,1,3,3,0,3,4,3,1,4,1,6,7,2,0,2,1,2,3,3,1,2,2,3,4,1,2,4,2,4,7,8,0,2,1,2,0,6,4,4,3,6,1,5,0,0,13,0,0,2,0,2,1,0,0,2,1,3,1,3,2,0,2,1,2,0,0,0,1,2,0,5,5,0,2,0,0,2,1,1,2,1,0,1,1,2,0,4,1,3,5,11,7,0,1,3,1,4,0,1,0,1,6,10,3,3,5,0,0,3,3,0,3,4,6,11,2,0,3,0,3,1,3,5,6,0,4,5,1,2,3,4,3,1,1,2,4,1,9,8,1,2,1,3,2,0,2,3,1,3,2,5,1,2,3,4,1,2,1,3,3,3,3,3,1,1,0,1,0,1,2,0,1,0,3,0,1,0,2,4,3,4,2,0,3,4,3,1,2,2,1,2,2,7,1,3,4,3,3,4,1,4,2,1,3,3,1,3,0,0,2,0,2,0,2,0,0,0,1,0,1,3,1,3,2,1,1,3,1,4,0,2,0,1,3,2,2,3,1,0,1,0,0,0,1,3,1,5,1,4,4,0,3,1,2,2,3,2,1,3,0,1,1,1,1,0,1,0,0,0,4,3,3,3,3,3,2,1,0,1,2,1,3,0,1,4,2,2,4,3,3,1,2,2,4,0,3,1,0,4,4,0,3,2,3,1,1,2,3,1,3,1,3,3,3,4,5,4,1,4,0,2,4,0,1,2,4,8,1,3,1,0,2,4,0,2,3,1,2,2,0,0,3,1,1,3,8,2,2,3,0,4,3,1,4,5,2,0,3,5,0,2,1,2,3,3,1,0,0,0,1,1,0,0,1,3,4,0,2,1,2,1,2,1,3,1,1,2,3,2,2,1,2,5,0,4,1,2,4,1,1,0,3,3,2,4,5,3,3,5,4,4,2,3,0,3,1,2,3,3,1,2,1,0,0,3,0,1,3,0,1,3,1,2,2,2,2,4,0,3,1,2,5,2,2,2,0,4,8,8,6,7,0,3,2,3,2,6,13,3,2,1,0,3,3,4,4,1,5,2,0,0,3,0,0,2,1,2,2,0,0,1,1,0,2,3,2,0,0,1,2,3,3,2,1,3,2,4,2,1,4,4,0,1,2,0,0,1,2,0,2,2,4,4,3,2,1,2,1,1,2,2,3,5,2,5,3,2,2,2,4,1,5,3,1,1,4,0,4,2,1,2,3,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3,13,13,13,13,8,8,13,5,8,8,13,13,13,13,8,8,8,8,8,8,5,13,13,5,5,5,8,8,13,13,13,13,13,5,8,5,8,13,5,5,8,13,8,13,13,13,5,5,8,13,13,13,5,13,13,8,13,13,8,8,5,13,8,13,5,8,5,13,5,13,13,5,5,13,13,5,13,13,8,13,13,13,13,13,8,13,13,13,13,13,13,13,13,13,13,5,13,13,13,13,13,13,13,13,13,13,13,13,5,13,13,13,13,13,13,13,5,13,13,13,13,13,13,13,13,13,13,17,17,5,5,17,5,5,17,17,5,5,5,5,5,5,5,5,5,5,5,5,8,8,8,8,8,8,8,8,8,8,13,13,8,13,13,13,17,8,5,5,5,8,8,17,8,8,5,8,5,17,17,8,13,8,13,14,8,5,5,13,5,8,8,8,8,8,10,8,8,8,8,10,8,10,8,8,8,8,8,8,5,8,13,8,5,13,13,13,5,5,8,13,13,8,13,8,13,8,13,5,8,5,8,3,8,8,8,8,3,8,13,5,5,3,5,5,5,5,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,13,8,13,10,13,13,8,8,8,13,8,13,10,13,10,8,8,8,13,8,8,8,13,8,13,8,5,8,8,13,8,8,8,8,13,5,8,8,13,13,13,10,8,5,8,5,8,8,13,8,8,8,8,5,13,8,8,8,10,8,5,13,13,5,8,13,13,13,5,5,8,5,13,8,8,13,5,13,8,13,8,13,13,5,5,8,8,8,8,13,13,8,8,13,8,5,5,8,13,8,13,8,13,13,5,5,5,13,13,8,5,8,8,13,5,5,13,13,8,5,8,3,8,8,5,5,8,8,13,5,5,5,5,5,5,5,5,13,13,13,13,5,5,13,8,13,5,13,13,13,3,13,5,5,3,3,3,13,13,3,5,13,13,5,13,13,5,5,5,8,13,13,5,13,3,3,3,13,13,3,13,5,7,13,13,16,12,5,12,5,5,16,16,12,12,8,8,12,12,16,16,5,8,16,8,5,8,5,5,8,8,7,8,5,5,7,7,7,8,12,5,5,8,8,5,8,8,12,8,8,8,8,8,12,8,8,8,8,12,8,8,12,8,16,8,8,16,16,8,16,16,8,16,8,16,8,5,16,8,8,8,8,16,8,8,8,8,8,8,8,8,8,8,12,8,8,8,8,8,8,8,8,8,8,8,8,8,8,5,5,5,8,8,8,8,5,8,5,8,5,5,5,5,5,8,8,8,8,5,5,5,5,8,7,5,4,3,4,7,5,5,3,7,3,7,4,4,7,4,7,7,4,3,7,11,17,5,17,17,5,17,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,12,12,5,5,5,5,5,5,5,5,8,8,8,8,16,16,17,8,8,8,17,8,2,8,8,8,5,8,8,8,5,8,5,8,8,5,8,5,8,8,8,8,8,8,5,8,8,7,5,4,5,8,5,5,12,12,5,5,12,12,12,12,5,12,5,8,8,8,8,16,16,8,16,16,16,12,12,10,8,10,13,8,12,12,8,16,8,10,12,12,8,12,8,8,8,8,8,10,8,8,12,8,10,13,12,8,8,13,8,8,8,13,8,8,8,8,8,8,8,8,8,13,16,8,8,13,8,5,5,8,8,8,5,8,5,8,8,8,13,13,8,5,13,5,13,5,5,13,5,5,5,5,13,5,5,5,13,5,5,13,5,8,5,5,5,8,5,5,5,13,5,5,5,8,5,5,13,5,5,5,5,5,13,7,5,5,3,13,7,3,3,7,3,3,3,3,3,3,8,8,8,16,16,12,8,16,8,8,8,16,12,8,8,12,16,12,12,12,12,12,12,12,8,12,12,12,8,16,8,8,12,16,8,16,8,8,16,8,8,12,16,8,16,16,8,8,16,13,16,8,12,16,12,16,16,8,8,16,8,16,16,8,13,8,8,8,8,16,16,8,8,8,8,12,8,12,12,8,8,8,8,8,8,8,12,8,8,8,8,4,8,8,8,12,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,5,8,8,8,8,8,8,8,8,8,8,8,5,5,5,8,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,13,5,5,7,7,7,5,7,11,4,3,5,5,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,8,12,12,8,12,8,5,17,5,5,5,8,2,8,5,8,8,4,8,8,8,8,8,8,8,4,2,8,2,5,5,4,5,5,5,5,5,5,12,5,16,5,12,12,5,5,5,12,12,5,5,12,12,12,12,5,12,12,8,12,12,12,12,5,12,5,12,12,16,12,12,5,5,12,5,12,12,5,12,12,12,12,12,12,12,12,16,16,12,12,12,12,12,12,12,12,16,12,12,12,12,12,16,12,12,12,12,12,8,8,12,4,5,4,8,5,5,5,17,13,5,8,8,17,4,13,13,17,17,17,8,17,8,8,7,13,8,13,8,13,8,17,5,8,7,17,5,5,4,8,8,7,5,3,7,3,3,5,2,7,3,5,5,16,5,16,12,12,16,12,16,16,16,16,8,16,8,8,8,16,8,8,8,16,8,8,8,8,5,8,13,5,8,5,5,5,7,4,7,5,5,8,16,5,12,16,16,16,5,8,12,8,12,12,12,12,8,8,5,12,8,12,16,12,8,8,10,12,8,13,8,8,12,8,13,10,8,8,8,8,8,8,12,8,8,5,5,8,5,5,8,13,13,7,13,13,3,7,13,13,7,3,13,13,7,3,5,13,13,13,3,3,5,17,17,5,5,5,5,17,5,5,17,5,5,12,5,17,17,5,5,5,5,5,12,5,5,5,5,5,17,5,12,12,5,5,5,12,12,8,8,8,8,17,8,8,8,17,8,8,17,8,17,8,8,8,8,8,5,8,8,17,5,8,8,8,13,5,8,8,8,5,8,5,8,8,5,5,5,8,5,5,8,5,5,5,5,5,5,5,5,5,8,5,8,8,8,8,8,8,8,16,8,8,8,8,13,16,8,16,16,8,13,16,8,8,13,8,13,8,8,8,8,8,10,13,8,8,10,8,8,8,8,8,8,8,13,8,8,8,13,13,8,8,8,10,13,8,8,8,8,8,5,8,5,8,13,8,5,8,13,5,5,13,5,13,8,5,5,13,13,8,5,5,5,5,8,5,5,5,3,13,5,7,5,7,7,3,16,5,8,8,17,17,17,5,8,5,5,5,5,8,19,19,20,20,19,19,20,8,8,8,8,8,8,8,8,10,10,8,8,5,8,13,8,13,8,8,8,8,8,8,13,8,13,8,8,8,8,8,8,8,8,8,5,8,5,8,8,8,8,8,8,8,8,8,8,5,8,8,8,8,8,8,8,8,8,8,5,5,8,8,8,5,8,8,5,8,5,8,5,8,5,8,8,8,13,8,5,5,8,8,5,13,5,8,5,13,8,5,5,5,5,13,13,5,5,5,5,13,8,5,13,5,5,5,5,5,5,5,5,5,5,13,5,5,5,8,5,5,13,5,3,7,3,7,12,12,12,12,12,12,8,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,8,12,12,12,12,4,8,8,8,5,5,4,4,8,4,4,8,8,8,4,4,8,8,8,8,7,8,7,8,8,7,9,7,5,5,5,5,5,17,17,17,17,17,17,17,17,17,17,17,5,5,8,12,17,12,12,5,12,12,5,12,5,8,12,16,12,5,8,8,16,16,8,12,12,12,12,16,8,8,8,12,12,12,17,8,12,12,8,5,8,17,8,7,8,8,5,3,5,8,5,5,5,12,12,16,12,12,12,5,16,5,12,16,12,12,5,8,8,8,8,16,8,16,8,16,12,16,16,16,8,8,12,8,10,12,12,8,16,10,16,16,12,8,13,10,12,12,8,8,8,8,8,8,8,10,8,8,8,8,8,8,8,8,8,8,8,8,5,8,8,8,5,5,13,5,5,5,8,5,5,5,5,8,8,8,5,5,13,5,3,5,8,8,13,8,13,8,8,13,5,3,4,3,8,5,7,13,5,7,7,7,4,7,12,12,12,12,12,12,8,12,8,12,12,12,12,12,8,17,12,8,5,8,5,5,5,8,5,5,5,7,7,5,7,7,5,3,7,5,5,5,8,5,5,5,5,8,5,5,5,5,5,5,8,16,12,8,8,8,8,12,8,8,8,8,8,8,8,17,8,8,8,8,8,8,8,8,8,10,8,13,8,8,8,10,8,5,8,5,5,13,5,5,5,4,13,13,8,8,10,5,8,8,13,13,8,13,5,8,5,5,8,5,13,8,13,13,13,8,5,5,5,5,8,13,5,5,5,8,8,8,3,8,5,5,5,8,8,8,5,5,5,13,4,13,5,5,13,5,9,4,4,9,13,8,7,3,5,3,7,3,7,3,3,3,3,8,5,5,3,3,7,7,7,5,5,5,17,5,5,17,5,17,5,5,5,5,5,5,5,5,5,5,5,5,12,5,12,12,8,8,8,16,8,12,8,12,8,8,8,8,13,13,8,8,8,8,8,8,8,8,8,5,17,5,8,8,8,8,13,5,8,5,13,8,13,8,13,13,8,13,8,13,13,13,13,13,3,8,7,13,13,5,5,5,5,5,5,5,5,5,5,5,5,17,17,17,17,17,17,8,12,8,8,8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