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