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10,8,8,10,9,8,7,10,12,11,10,8,11,10,9,8,10,8,8,13,6,7,8,6,6,9,6,6,6,6,6,8,1,5,9,7,13,7,8,6,10,10,8,13,8,9,7,7,9,8,8,7,7,8,10,10,8,10,8,12,9,11,8,11,6,3,6,8,9,6,9,10,9,5,9,8,6,5,9,2,6,9,4,3,4,4,4,6,7,6,4,6,6,3,3,6,5,4,1,4,2,3,5,4,3,3,2,1,4,5,4,2,4,1,7,5,2,3,9,4,5,4,3,3,3,3,4,5,3,5,3,1,3,5,1,2,1,3,0,0,3,2,2,4,4,0,0,1,0,1,1,1,3,4,1,4,6,2,1,3,4,3,2,2,3,4,2,4,2,3,2,2,1,3,1,2,2,5,4,1,4,3,2,2,6,3,3,1,4,4,2,1,3,3,3,1,3,3,1,3,1,5,1,1,2,0,3,5,2,6,2,3,7,4,7,10,8,9,11,8,8,9,11,10,10,10,12,10,7,13,9,13,11,9,8,12,9,10,13,9,9,10,11,10,12,11,11,9,10,10,8,12,10,10,10,8,7,10,10,10,9,9,10,11,7,7,8,7,10,8,5,8,9,9,6,7,6,9,10,6,7,10,9,8,11,10,10,8,8,10,8,7,8,8,7,8,10,8,10,8,10,7,8,10,10,8,7,8,12,7,9,9,9,7,9,8,7,9,5,6,8,10,10,10,10,9,7,9,5,9,8,6,5,7,10,7,5,7,8,8,7,9,10,6,10,8,7,8,9,10,7,8,9,10,8,9,3,6,3,7,4,5,5,5,5,10,5,7,5,9,7,6,7,6,7,4,5,7,6,4,5,4,5,9,8,14,7,12,11,9,7,5,6,6,7,6,9,7,8,5,8,5,9,7,7,10,8,8,7,7,8,9,8,7,9,8,7,8,7,7,7,9,7,9,8,8,8,5,4,6,6,6,4,3,7,5,3,9,4,8,9,5,6,7,8,7,8,6,5,6,6,7,6,9,7,7,6,8,7,9,6,6,11,8,7,6,7,7,6,7,5,6,6,5,6,4,2,4,6,2,3,6,3,5,10,4,3,5,2,4,6,4,7,8,2,10,11,9,8,9,9,8,6,7,12,7,10,8,8,6,10,10,9,9,8,7,6,8,9,8,9,8,10,4,6,6,8,7,7,10,10,6,6,10,9,9,5,11,11,8,6,9,7,8,6,5,8,9,9,8,8,10,11,8,6,8,4,7,6,6,7,7,10,7,8,6,8,9,4,8,6,5,7,5,7,8,10,6,6,8,6,9,8,6,7,6,8,6,6,9,7,9,7,8,6,7,8,4,8,7,8,10,8,10,9,5,8,8,10,9,8,9,6,9,9,6,9,6,10,6,7,7,8,7,10,4,8,4,5,8,6,12,9,8,9,8,9,6,7,8,8,8,9,10,6,7,8,6,8,7,6,10,8,9,7,7,10,9,10,9,10,7,7,9,7,8,8,7,6,6,8,6,8,7,6,8,8,10,5,5,10,5,7,4,7,6,7,8,9,7,5,6,7,4,7,7,6,6,7,3,6,4,3,5,5,7,4,6,6,3,8,4,5,6,5,9,5,4,6,5,4,5,4,6,7,5,6,5,5,5,8,4,6,6,7,7,7,5,5,7,4,7,7,5,6,4,5,7,5,6,7,6,4,5,4,5,8,5,7,4,6,4,4,5,7,7,9,7,7,3,6,6,4,6,5,8,7,5,9,6,6,6,7,5,7,5,5,7,7,6,7,8,5,6,8,6,8,8,4,6,5,4,6,5,7,5,5,5,6,5,4,5,5,6,5,5,9,4,8,7,6,5,5,6,4,5,5,6,6,7,5,7,5,9,8,5,6,5,6,4,5,8,6,7,5,5,7,4,8,7,5,7,5,6,8,5,6,6,7,8,7,7,5,8,9,6,8,9,6,7,6,7,9,6,6,7,7,7,4,8,6,8,8,6,4,6,7,8,8,8,8,8,7,8,6,6,6,7,8,7,3,8,9,6,5,4,7,6,7,6,8,8,8,6,6,7,8,8,7,7,7,4,9,6,8,6,6,9,8,9,7,9,9,8,7,10,7,9,8,9,8,6,9,8,8,7,7,7,6,6,6,3,7,6,6,7,6,9,7,9,7,4,8,10,9,9,6,8,9,8,7,9,6,7,9,7,6,8,5,8,8,7,8,11,8,7,9,7,8,7,10,9,9,8,9,9,5,5,6,7,8,6,7,6,7,7,7,7,6,8,7,7,10,7,6,6,9,9,7,9,9,6,7,7,6,7,9,2,6,7,7,7,6,8,10,8,6,7,9,8,8,7,7,6,7,8,8,8,6,8,9,8,8,7,7,6,8,8,7,6,6,7,6,7,7,8,5,7,3,7,7,5,6,5,6,5,6,6,7,8,7,6,7,7,6,9,6,8,8,8,6,7,7,8,7,8,8,5,11,8,7,7,6,7,8,7,9,7,9,9,7,8,7,9,8,9,6,9,9,7,9,8,9,7,10,9,6,8,7,10,8,8,10,7,8,10,8,7,9,9,10,7,1,6,8,10,7,9,8,9,8,8,8,7,7,7,7,8,8,5,9,5,8,8,6,7,6,7,5,8,6,7,8,6,7,6,6,6,7,6,6,7,8,7,6,7,8,7,8,7,8,8,9,8,7,9,8,8,7,6,6,8,11,8,7,8,7,7,8,6,9,6,6,7,7,8,9,9,6,7,8,7,7,8,7,4,5,7,8,8,8,6,6,7,7,6,9,5,7,8,5,6,9,9,7,7,8,7,11,7,8,7,7,9,7,7,6,6,9,7,10,9,6,9,6,9,8,9,9,9,10,8,7,10,7,7,8,8,9,8,8,8,8,10,7,7,7,8,6,6,7,7,3,9,8,9,10,9,7,9,7,7,7,7,8,8,8,11,7,6,5,6,7,7,4,8,6,5,3,6,5,3,4,4,5,5,4,5,8,5,5,5,5,5,5,5,5,7,6,6,8,6,7,9,8,5,6,7,5,7,7,6,6,6,6,7,8,10,10,6,6,8,7,8,6,8,8,9,6,8,7,7,7,6,5,9,7,8,8,9,9,7,8,7,7,9,10,6,9,7,7,6,9,9,5,7,6,8,8,8,6,8,9,7,8,7,6,8,8,9,7,8,7,8,6,8,5,8,11,7,8,8,6,9,5,8,7,6,8,7,6,8,8,5,7,5,3,5,5,3,2,4,3,4,2,3,4,5,2,3,4,4,5,4,5,4,5,2,3,3,4,3,2,3,2,3,2,4,0,3,2,2,2,1,3,3,5,4,4,5,7,2,5,3,4,6,4,2,3,3,3,5,3,4,6,3,3,5,3,5,6,6,7,4,5,5,7,5,5,7,5,3,7,4,6,3,5,4,6,5,7,4,5,5,3,8,6,9,5,5,5,6,2,6,6,7,5,8,6,6,6,7,6,4,4,6,1,8,5,5,3,4,4,4,3,6,5,7,5,8,8,6,5,6,5,8,4,4,4,8,5,5,3,4,5,3,4,4,2,4,2,3,3,7,2,3,6,3,3,4,4,4,4,3,6,4,6,6,6,3,3,2,9,3,3,6,7,8,5,3,6,7,5,4,5,5,5,4,5,2,4,3,4,4,3,6,6,6,3,2,5,5,2,4,3,6,5,3,3,4,4,2,2,3,5,7,5,4,8,6,5,5,6,5,6,5,7,5,3,5,5,6,4,5,7,3,6,7,4,4,7,6,8,7,6,6,6,7,6,6,4,3,6,4,5,3,6,6,5,5,3,5,5,2,4,3,3,3,2,2,5,3,4,7,6,5,5,5,5,6,5,4,6,4,3,6,5,4,5,6,6,6,4,7,5,4,6,5,5,6,5,7,6,5,5,5,5,5,5,5,5,3,6,3,3,4,6,4,4,6,4,4,4,4,4,6,5,6,5,6,6,4,7,5,6,5,4,4,6,7,5,8,6,4,5,5,7,4,4,5,5,6,5,5,4,3,5,5,5,6,5,4,5,4,4,4,4,5,4,6,5,5,5,5,8,5,6,7,5,6,8,6,6,6,10,7,6,6,9,6,7,7,6,6,7,4,8,6,6,6,6,7,5,5,4,5,5,4,6,5,6,4,1,3,6,5,6,4,4,3,1,5,5,6,6,7,7,6,3,5,5,5,6,7,5,4,6,5,4,6,3,4,2,4,3,1,3,5,7,5,4,5,5,4,4,7,5,6,7,6,5,5,6,6,5,5,5,8,5,4,6,4,3,5,5,6,3,3,5,5,6,4,4,3,4,3,5,5,5,4,5,5,5,5,6,5,7,5,5,5,5,5,5,5,5,5,4,7,6,5,6,4,7,3,4,5,6,3,7,6,6,6,6,8,7,7,3,5,4,7,4,4,4,7,5,5,3,6,5,7,5,3,3,7,6,7,6,5,5,5,6,6,5,9,4,8,6,5,4,8,6,7,7,7,7,6,6,6,6,6,6,4,7,5,4,8,3,6,6,4,5,4,3,5,5,4,7,5,7,6,7,4,7,6,5,5,6,5,6,6,5,7,4,5,7,6,5,6,7,5,4,8,7,5,5,5,10,5,8,6,5,7,6,6,4,6,6,6,5,4,9,5,5,6,7,6,5,5,6,6,3,6,7,5,5,7,7,6,7,5,7,7,5,6,5,8,3,4,6,7,5,5,4,6,4,6,4,5,3,6,5,5,5,7,4,5,6,1,7,4,6,6,6,6,8,4,4,5,4,5,3,7,6,5,5,6,6,4,4,8,4,6,4,4,4,5,3,3,4,6,3,4,5,4,4,3,6,4,5,4,4,4,3,3,7,3,5,3,3,2,5,3,4,3,3,5,4,4,5,3,5,4,4,3,5,2,9,7,4,4,6,5,8,4,5,5,3,5,6,2,7,3,2,3,3,4,4,6,3,4,8,5,5,5,3,2,4,4,3,4,2,5,5,5,4,5,7,7,3,5,4,3,2,6,4,5,6,6,3,4,5,7,5,4,6,2,4,1,3,2,3,2,2,2,3,2,1,3,1,2,3,2,4,5,5,5,3,4,3,7,4,5,3,1,3,1,6,3,3,1,1,3,2,4,4,5,2,4,3,4,3,3,1,3,5,3,1,3,1,2,3,5,2,6,3,2,5,4,3,4,5,4,3,5,3,4,5,4,6,4,4,3,5,5,6,5,4,3,4,4,2,4,2,1,2,2,2,3,4,3,3,4,1,1,2,1,1,1,1,2,1,1,3,6,2,1,3,3,2,4,4,3,2,2,3,1,4,6,3,5,3,2,3,2,3,4,3,2,1,3,2,4,2,4,5,2,3,5,3,3,3,3,2,3,3,4,2,5,4,2,2,2,2,5,4,4,2,1,5,1,3,2,4,3,3,3,3,5,4,3,7,5,6,4,4,3,6,4,2,4,2,3,5,3,1,2,4,2,3,2,5,5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3,2,2,2,2,3,1,5,2,5,3,5,3,2,2,3,2,2,2,2,4,5,3,3,2,4,6,2,2,4,3,2,2,3,3,3,3,4,2,4,4,3,2,4,3,2,3,2,15,12,13,11,12,11,13,10,17,8,10,16,16,10,16,8,4,10,12,5,11,11,9,13,16,13,17,14,17,15,12,14,11,16,17,10,16,2,10,11,5,11,10,4,9,19,17,14,9,14,10,3,10,6,7,11,11,16,7,10,13,11,13,15,11,15,17,16,16,12,20,14,16,9,14,11,10,9,15,11,9,13,5,10,13,5,10,13,11,15,7,17,12,5,10,17,11,11,10,9,3,3,2,3,3,3,4,4,3,3,3,2,3,3,3,4,3,3,3,3,3,3,3,3,3,4,4,3,3,6,3,3,4,4,3,3,2,3,2,3,3,3,3,3,4,4,3,3,2,4,3,2,3,3,2,2,3,2,3,3,1,5,3,2,3,4,2,2,3,2,0,0,1,1,0,0,0,0,1,1,1,1,4,3,3,3,2,2,3,3,2,3,2,3,3,2,2,2,3,2,3,2,3,3,3,5,3,3,2,3,3,3,2,3,3,2,3,3,3,3,3,3,2,2,2,3,2,2,3,1,4,3,3,2,3,3,3,3,2,3,4,2,3,2,2,2,3,2,3,2,2,2,2,2,2,2,3,3,2,3,2,4,2,2,2,2,2,2,3,2,2,2,1,2,3,3,2,3,3,3,3,1,3,4,2,2,4,3,3,2,3,2,2,5,2,3,3,2,3,2,2,3,2,2,2,3,2,2,2,2,2,3,3,3,2,3,3,4,3,3,2,2,3,2,3,3,2,3,3,3,3,3,3,3,3,4,3,3,3,3,4,3,3,3,2,3,2,3,3,3,3,3,3,2,2,2,3,3,3,4,3,2,4,3,3,3,3,2,3,5,3,3,2,3,3,2,3,3,3,3,3,3,3,3,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,2,3,2,3,4,2,2,3,3,4,3,4,2,2,2,5,3,3,2,3,2,2,2,2,2,3,2,3,2,2,2,2,2,3,2,2,2,2,2,3,2,3,3,3,3,2,3,3,3,3,3,2,4,2,3,3,2,3,2,2,3,3,2,3,2,3,2,3,2,3,4,2,2,2,3,3,4,3,3,4,3,2,3,4,3,3,3,2,2,2,2,3,3,3,3,3,1,2,3,3,2,3,2,3,3,3,3,3,3,4,2,3,3,3,2,3,3,3,3,3,2,4,2,3,3,3,3,3,3,2,3,2,3,3,3,3,2,4,2,3,3,3,2,3,3,3,5,2,2,3,4,2,3,3,2,2,3,2,3,3,3,3,2,3,3,3,3,3,3,3,2,2,2,2,2,2,4,3,3,3,3,3,3,2,2,3,3,2,3,2,2,3,3,4,3,4,3,3,3,2,3,2,3,3,3,3,3,3,2,3,5,3,3,3,3,3,2,2,3,3,3,3,4,4,4,5,2,3,3,3,4,3,3,3,4,3,2,4,4,4,4,3,4,6,3,4,4,5,4,3,3,4,3,4,3,5,4,4,4,4,4,4,4,4,4,4,3,4,4,4,3,3,4,5,4,3,4,4,3,4,3,3,3,3,3,4,5,3,3,3,4,4,3,2,4,3,4,4,4,3,3,3,2,3,3,3,3,3,4,3,3,4,3,3,3,5,3,2,3,3,3,4,4,4,3,4,5,4,4,3,3,3,3,3,3,4,3,4,5,4,4,5,4,4,5,3,6,3,4,4,3,4,3,4,4,4,3,4,2,2,2,5,3,4,3,3,3,3,4,3,4,4,2,2,2,3,2,3,3,2,2,2,2,3,3,3,2,3,3,3,3,4,3,4,3,4,3,5,3,3,4,3,3,3,4,4,4,4,4,4,4,3,4,4,4,3,4,4,4,4,4,4,3,3,4,5,4,4,3,4,3,3,4,3,3,3,3,4,3,3,3,3,4,4,3,4,2,2,3,3,4,2,4,4,4,3,3,2,4,3,2,4,3,3,3,4,3,3,1,3,5,4,4,4,3,3,3,4,4,3,5,4,3,3,3,2,3,3,4,4,5,5,4,4,4,4,3,4,5,4,4,2,4,3,4,5,4,4,3,3,3,4,4,4,4,4,4,4,4,5,3,3,4,5,3,4,4,3,4,4,4,4,2,3,3,4,3,4,4,4,3,4,4,4,4,4,3,4,4,4,4,4,4,4,5,4,3,4,4,4,4,4,4,4,4,4,4,4,4,4,3,4,4,4,4,4,4,3,4,2,4,4,4,4,5,4,4,4,4,4,3,4,3,3,3,4,3,4,3,3,3,4,3,3,3,4,4,3,3,3,3,3,3,3,4,3,3,3,3,3,3,3,3,3,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,3,4,4,3,4,3,3,4,4,3,4,4,3,4,3,3,3,3,4,4,3,3,4,4,3,4,3,2,3,5,2,4,4,4,4,4,4,4,2,2,3,3,2,3,2,3,3,2,3,2,3,4,2,3,4,3,2,5,4,4,4,3,4,4,4,4,4,3,4,4,4,5,4,3,4,2,3,4,4,4,3,4,4,4,4,3,2,3,3,3,3,3,3,4,3,4,4,4,4,5,5,6,6,6,5,6,6,6,6,5,5,7,5,5,5,5,4,3,4,6,5,4,6,5,5,5,5,4,5,5,5,6,5,3,5,5,4,5,4,3,5,5,5,4,6,4,4,4,4,4,5,5,5,5,6,5,5,5,5,5,5,3,4,5,4,4,5,5,5,5,5,5,4,4,6,3,5,4,4,3,5,5,4,4,4,4,3,3,3,3,2,3,5,3,5,4,3,5,5,4,5,5,5,7,4,5,6,4,4,5,5,5,6,4,3,2,3,3,3,3,3,3,4,3,3,2,3,5,5,5,5,4,4,2,6,5,5,5,5,5,5,5,5,5,5,5,6,3,5,5,5,4,5,5,3,4,4,4,4,4,4,5,4,4,3,4,3,4,3,3,3,4,4,4,4,4,4,4,4,4,3,3,3,4,3,3,3,4,5,4,4,4,2,4,4,3,4,5,5,4,2,3,4,3,3,4,5,5,3,5,4,3,3,2,2,3,4,3,3,4,5,4,5,4,4,4,5,3,4,4,4,5,5,4,4,4,4,6,6,6,6,6,5,6,6,5,4,5,5,5,6,7,6,7,5,5,6,4,4,6,6,6,4,5,6,5,6,6,5,6,5,5,6,6,5,6,6,6,5,5,5,5,5,5,5,5,5,4,4,6,4,4,6,6,5,5,5,5,4,6,5,5,4,4,3,7,5,6,5,5,5,4,5,6,5,6,6,6,5,5,6,6,6,6,6,7,5,8,6,7,7,7,5,5,6,7,7,7,6,5,6,7,9,10,6,9,6,7,9,8,7,7,7,6,5,7,9,10,8,7,6,6,7,9,8,7,5,5,5,6,7,7,6,5,7,8,5,5,7,6,6,6,9,8,6,6,7,8,7,7,7,6,8,7,5,8,8,7,7,7,8,8,6,6,7,7,8,7,7,7,7,7,8,6,7,7,7,7,6,7,7,6,6,6,6,5,6,6,8,5,4,5,6,4,4,5,6,5,7,6,5,5,5,5,5,6,4,5,5,6,5,5,5,12,4,6,6,5,5,6,5,5,5,4,6,5,4,5,3,6,6,5,6,5,5,5,9,8,8,9,10,6,8,6,7,7,5,8,7,7,6,6,6,7,7,7,7,7,5,8,7,7,7,6,7,7,6,6,6,6,7,6,7,7,6,7,7,8,7,7,7,6,7,7,8,6,6,6,6,5,6,6,8,7,8,6,8,6,7,6,7,7,7,6,4,6,7,7,7,7,6,8,7,5,8,7,7,7,7,7,7,6,7,7,7,7,7,9,8,7,7,6,8,8,7,5,8,4,5,4,7,7,6,6,8,7,7,6,8,9,7,9,8,8,9,8,7,6,9,8,9,8,9,8,8,6,9,9,7,7,7,8,9,8,7,7,11,9,15,7,7,9,7,7,8,8,7,8,6,8,7,7,8,7,7,7,8,9,9,9,10,9,9,10,9,10,8,10,11,8,8,7,8,8,9,8,8,8,8,7,8,10,7,6,8,8,9,8,7,8,9,8,7,6,6,7,8,8,6,9,7,8,7,8,9,7,8,7,8,8,9,5,6,4,6,6,7,6,7,9,8,6,7,8,9,9,7,6,6,7,6,5,5,5,5,4,5,5,4,5,4,4,5,4,5,5,6,5,5,5,6,7,6,8,9,8,6,7,8,8,6,5,6,8,8,7,6,7,6,7,7,7,7,7,6,9,7,13,7,7,8,6,10,9,8,8,8,8,7,7,7,7,7,6,6,6,6,4,6,6,5,4,6,6,5,5,8,7,8,7,7,6,8,8,8,8,7,8,7,9,6,7,5,6,7,7,7,7,6,7,7,4,6,6,6,7,6,8,7,7,7,7,6,6,7,7,7,6,7,6,6,6,6,6,6,8,5,5,6,7,6,7,6,7,7,7,6,4,7,8,7,6,7,8,8,9,7,6,6,7,5,5,6,8,7,8,7,7,8,7,8,6,8,7,7,8,6,6,5,6,5,5,6,4,6,6,7,7,8,8,8,7,4,9,8,8,7,8,7,8,8,7,7,7,6,8,8,8,7,7,7,8,7,8,7,7,6,7,6,7,7,6,5,4,7,6,6,6,7,5,4,4,6,4,7,6,6,6,7,5,5,6,5,5,4,4,4,5,4,4,4,5,5,5,5,5,5,4,5,6,5,5,5,6,6,5,5,6,6,6,5,6,7,7,6,6,12,3,4,7,5,6,6,5,5,7,6,6,6,8,8,6,8,8,8,8,8,7,8,8,5,9,8,8,8,8,9,7,8,14,7,7,6,8,5,7,5,7,5,7,6,6,7,6,7,6,6,6,6,6,6,5,5,7,7,7,7,7,7,5,7,6,6,5,7,7,8,7,7,7,7,7,8,6,6,7,7,7,7,7,7,8,6,5,6,7,7,7,7,7,7,7,7,5,6,8,7,7,8,8,7,7,7,7,6,8,8,7,8,8,7,4,5,5,5,5,5,5,5,6,4,8,5,7,7,6,6,6,7,6,6,7,6,8,8,7,5,6,8,6,8,7,9,7,5,8,7,8,6,7,8,7,8,9,8,9,8,7,7,9,7,8,8,8,6,7,7,8,9,7,8,8,8,7,8,8,8,8,8,8,7,7,7,8,10,9,10,8,12,10,10,11,12,9,9,10,12,12,11,10,9,10,10,12,9,9,10,12,10,12,9,7,10,10,11,13,11,13,11,13,12,11,14,10,11,11,10,8,7,12,9,10,10,8,7,11,11,7,7,10,11,9,9,12,10,7,11,11,9,10,11,9,12,11,11,10,11,9,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