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