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