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