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