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