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