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