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