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