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