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