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