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2,1,2,3,4,5,6,7,8,1,2,3,1,2,3,1,2,3,4,5,6,7,1,2,1,2,3,1,2,3,1,2,3,1,2,3,4,1,2,1,2,3,4,1,2,3,4,5,1,2,3,1,2,3,1,2,1,2,3,4,5,6,7,8,9,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,6,1,2,3,1,2,3,4,5,1,2,3,4,5,6,7,1,2,1,2,3,4,5,1,2,1,2,3,1,2,3,4,1,2,3,1,2,3,4,1,2,3,4,1,2,3,1,2,3,1,2,1,2,3,4,5,1,2,3,4,1,2,1,2,3,4,5,6,1,2,3,1,2,3,4,5,1,2,3,4,5,6,7,1,2,3,4,1,2,3,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,6,1,2,3,1,2,3,4,5,6,7,1,2,1,2,3,4,1,2,3,4,1,2,3,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,6,7,8,1,2,3,1,2,3,4,5,6,7,8,1,2,3,1,2,3,4,5,6,1,2,3,4,1,2,3,4,1,2,3,1,2,3,4,5,1,2,3,1,2,3,4,5,1,2,3,4,5,1,2,3,1,2,3,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,1,2,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,6,1,2,1,2,3,4,5,6,7,8,1,2,1,2,3,4,5,6,7,1,2,3,4,5,1,2,3,1,2,3,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,6,7,8,9,1,2,3,1,2,3,4,5,6,7,8,1,2,3,1,2,3,4,5,6,7,8,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,1,2,3,1,2,3,1,2,3,4,1,2,3,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,6,1,2,1,2,3,4,5,6,7,1,2,3,4,5,6,7,1,2,3,4,5,1,2,1,2,1,2,3,4,1,2,3,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,1,2,3,1,2,1,2,3,4,5,6,7,8,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,6,7,8,1,2,3,1,2,3,4,5,6,7,8,1,2,3,4,5,6,7,8,1,2,3,4,5,1,2,3,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,1,2,3,1,2,3,1,2,3,4,5,1,2,1,2,3,4,1,2,3,4,5,1,2,3,1,2,3,4,1,2,3,1,2,3,1,2,3,4,5,1,2,3,4,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,1,2,3,4,1,2,3,4,5,1,2,3,1,2,3,4,1,2,3,4,1,2,3,4,5,1,2,3,1,2,3,4,1,2,3,1,2,1,2,3,4,5,6,1,2,3,1,2,3,1,2,1,2,3,1,2,3,1,2,3,1,2,3,1,2,3,4,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,1,2,3,1,2,3,1,2,1,2,3,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,1,2,3,4,5,1,2,3,1,2,3,4,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,1,2,3,1,2,1,2,3,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,6,7,8,1,2,3,4,1,2,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,5,1,2,3,4,5,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,5,1,2,3,4,1,2,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,6,1,2,3,1,2,3,4,5,1,2,1,2,3,4,1,2,3,4,1,2,3,4,5,6,7,1,2,3,1,2,3,4,5,6,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,1,2,3,1,2,3,4,5,1,2,3,1,2,3,4,5,6,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,1,2,3,1,2,3,4,5,1,2,3,4,5,6,1,2,3,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,1,2,3,4,1,2,3,4,5,1,2,3,4,5,1,2,3,4,1,2,3,4,1,2,1,2,3,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,7,1,2,1,2,3,4,1,2,3,1,2,3,1,2,3,4,5,6,1,2,3,4,5,1,2,1,2,3,4,5,1,2,3,4,5,6,7,8,1,2,1,2,3,4,5,6,7,8,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,7,8,9,10,1,2,1,2,3,4,1,2,3,4,1,2,3,4,5,6,7,1,2,3,4,5,6,7,1,2,3,1,2,3,4,1,2,3,4,5,6,7,8,9,1,2,3,4,5,6,7,1,2,3,4,5,6,7,1,2,3,1,2,3,4,5,6,7,8,1,2,3,4,1,2,3,4,1,2,3,1,2,3,4,1,2,3,4,5,6,1,2,3,4,1,2,3,4,1,2,3,4,5,6,7,8,9,1,2,3,1,2,3,4,5,6,7,8,1,2,3,4,1,2,3,4,5,1,2,3,4,5,1,2,3,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,1,2,3,4,1,2,3,4,5,1,2,3,4,5,1,2,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,6,7,8,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,1,2,3,4,5,6,7,8,1,2,1,2,3,4,5,1,2,3,4,5,1,2,3,1,2,3,1,2,3,1,2,3,4,1,2,3,4,1,2,3,4,5,6,7,8,1,2,3,4,1,2,3,4,5,6,7,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,1,2,3,4,5,1,2,3,1,2,3,4,5,6,7,8,9,10,1,2,1,2,3,4,5,6,1,2,3,4,5,6,7,1,2,3,4,5,6,7,1,2,1,2,3,4,5,6,7,8,1,2,3,4,1,2,3,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,6,7,1,2,3,1,2,3,4,1,2,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,5,1,2,3,1,2,3,4,5,1,2,1,2,3,4,1,2,3,4,1,2,3,1,2,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,1,2,3,4,1,2,3,1,2,3,4,1,2,1,2,3,4,1,2,3,4,5,6,1,2,3,1,2,3,4,1,2,3,4,5,6,1,2,1,2,3,4,5,1,2,3,4,5,1,2,3,1,2,3,1,2,3,4,1,2,3,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,5,1,2,3,4,5,1,2,3,4,1,2,3,4,5,1,2,1,2,3,4,5,1,2,3,4,1,2,3,4,5,1,2,3,4,1,2,1,2,3,4,5,6,1,2,1,2,3,4,5,6,1,2,1,2,3,4,1,2,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,1,2,1,2,3,4,5,6,7,8,1,2,3,4,5,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,4,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,1,2,3,4,1,2,3,1,2,3,4,5,6,7,8,1,2,3,4,5,6,7,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,7,8,1,2,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,1,2,3,4,1,2,1,2,3,4,5,1,2,3,4,5,6,7,1,2,3,1,2,3,4,5,6,7,8,1,2,3,4,5,1,2,3,4,5,6,7,8,1,2,1,2,3,4,5,1,2,3,4,5,1,2,1,2,3,4,5,6,1,2,1,2,3,4,5,6,7,1,2,3,4,5,6,7,8,1,2,3,4,5,6,7,1,2,3,4,5,1,2,3,4,1,2,3,4,1,2,3,1,2,3,4,1,2,3,4,5,1,2,1,2,3,1,2,3,1,2,3,1,2,1,2,3,1,2,1,2,3,4,1,2,3,4,1,2,1,2,3,4,5,1,2,3,4,5,6,7,1,2,3,4,5,1,2,3,4,5,1,2,1,2,3,4,1,2,3,1,2,3,4,5,6,7,8,1,2,3,4,5,1,2,3,4,5,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,6,7,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,6,7,8,1,2,3,4,5,6,7,1,2,3,4,5,6,1,2,1,2,3,4,5,6,1,2,3,4,1,2,3,1,2,3,4,5,6,7,8,1,2,3,4,5,1,2,3,4,5,6,1,2,3,1,2,3,4,5,1,2,1,2,3,4,5,6,1,2,3,4,5,1,2,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,6,1,2,3,1,2,3,4,5,6,1,2,3,4,5,6,1,2,1,2,3,4,1,2,1,2,1,2,3,4,5,1,2,3,4,1,2,3,4,1,2,3,4,5,1,2,3,4,5,1,2,3,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,1,2,3,1,2,3,4,5,1,2,3,1,2,3,4,1,2,3,4,1,2,3,1,2,3,1,2,3,4,5,6,7,8,1,2,3,4,5,1,2,3,4,5,6,7,1,2,3,4,1,2,1,2,3,4,1,2,3,1,2,3,4,5,1,2,3,4,5,1,2,3,1,2,3,4,5,1,2,1,2,3,4,5,1,2,3,4,5,6,7,1,2,3,4,5,6,1,2,1,2,3,4,1,2,1,2,3,1,2,1,2,3,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,6,7,1,2,1,2,3,4,5,1,2,3,1,2,3,4,5,6,7,1,2,1,2,3,4,1,2,3,1,2,3,4,1,2,1,2,3,4,5,6,1,2,1,2,1,2,3,4,1,2,1,2,3,4,5,1,2,3,4,1,2,3,4,1,2,3,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,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6,6,7,7,7,7,7,7,8,8,8,8,8,9,9,9,9,10,10,11,11,11,11,11,12,12,13,13,13,13,13,13,13,13,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,5,5,5,5,5,5,5,6,6,7,7,7,7,7,7,7,8,8,9,9,10,10,11,11,11,12,12,12,12,13,13,13,13,13,13,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,5,5,6,6,6,6,6,7,7,8,8,8,8,8,8,8,8,9,9,9,10,10,10,10,10,10,11,11,11,12,12,13,13,13,14,14,14,14,14,14,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,5,5,5,6,6,6,7,7,7,7,7,8,8,8,8,8,9,9,9,9,10,10,10,10,11,11,11,12,12,12,12,13,13,13,13,13,14,14,14,14,14,14,15,15,16,16,16,16,16,16,16,17,17,17,17,18,18,18,18,18,18,18,18,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,5,5,5,6,6,6,6,7,7,7,7,8,8,8,8,8,8,9,9,9,10,10,11,11,11,11,11,11,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,5,5,5,5,6,6,6,7,7,7,7,7,7,8,8,8,8,8,8,8,9,9,9,10,10,10,11,11,11,11,11,11,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,5,5,5,5,5,5,5,6,6,6,7,7,7,7,8,8,8,9,9,9,9,10,10,10,11,11,11,12,12,12,12,12,13,13,13,14,14,15,15,15,15,16,16,16,16,16,17,17,17,18,18,18,18,19,19,19,20,20,20,20,20,20,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,5,5,5,5,5,5,5,6,6,6,6,6,7,7,7,7,7,8,8,8,8,8,8,8,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,5,5,5,6,6,7,7,7,7,7,7,8,8,8,8,8,8,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,5,5,5,5,5,5,6,6,7,7,7,7,7,7,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,5,5,6,6,6,7,7,7,7,8,8,9,9,9,9,9,9,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,5,5,6,6,6,6,7,7,7,7,7,7,7,7,8,8,8,8,9,9,9,9,10,10,10,11,11,11,11,11,11,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,5,5,5,5,5,5,1,1,1,2,2,2,3,3,3,3,4,4,4,4,5,5,5,5,5,5,5,5,6,6,7,7,7,7,8,8,8,8,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,5,5,5,6,6,7,7,7,7,7,7,7,7,1,1,1,2,2,3,3,3,3,4,4,5,5,5,5,5,5,5,6,6,6,6,6,6,7,7,7,7,8,8,8,8,8,9,9,9,9,10,10,10,11,11,11,11,12,12,13,13,13,13,13,13,13,13,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,5,5,6,6,6,6,6,7,7,7,7,7,7,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,5,5,5,6,6,6,6,6,7,7,7,7,8,8,8,8,8,8,1,1,1,1,1,2,2,3,3,3,4,4,4,4,5,5,5,5,5,5,5,5,6,6,6,7,7,7,8,8,8,8,8,8,8,8,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,5,5,5,5,6,6,7,7,7,7,7,7,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,5,5,5,5,6,6,6,6,6,7,7,7,7,7,8,8,8,8,8,8,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,5,5,5,5,6,6,6,6,6,6,6,7,7,8,8,8,8,8,9,9,9,9,9,9,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,5,5,5,5,6,6,6,6,7,7,7,7,7,7,7,7,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,5,5,5,6,6,6,6,7,7,8,8,8,8,8,8,9,9,9,9,9,9,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,5,5,5,5,6,6,7,7,8,8,8,8,8,8,9,9,9,9,10,10,10,11,11,11,11,11,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,5,5,6,6,6,7,7,7,7,8,8,8,8,9,9,9,9,9,9,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,5,5,6,6,6,6,7,7,7,7,7,7,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,5,5,5,5,5,5,6,6,6,7,7,7,7,7,7,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,5,5,5,5,6,6,6,6,6,6,7,7,7,7,8,8,8,8,8,8,8,8,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,5,5,5,5,5,6,6,6,6,7,7,7,7,7,8,8,8,8,8,8,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,5,5,5,5,5,5,5,6,6,6,6,6,7,7,7,8,8,8,8,8,8,9,9,9,9,9,10,10,10,10,10,10,11,11,11,11,11,11,12,12,12,12,12,12,13,13,13,13,13,13,14,14,14,15,15,15,15,15,15,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,5,5,5,5,5,5,5,6,6,7,7,7,7,7,7,8,8,8,8,9,9,9,9,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,13,13,13,13,13,14,14,14,15,15,15,16,16,16,16,16,16,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,5,5,6,6,6,6,6,6,6,6,1,1,1,1,1,2,2,3,3,3,3,4,4,5,5,5,6,6,6,6,6,6,6,6,7,7,8,8,8,8,8,8,8,9,9,9,9,9,10,10,11,11,11,11,11,12,12,12,12,12,12,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,5,5,5,5,5,6,6,6,6,6,6,6,6,7,7,7,7,8,8,8,8,8,9,9,9,10,10,10,11,11,11,11,11,11,11,11,11,12,12,12,12,12,12,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,5,5,6,6,6,6,6,7,7,8,8,8,8,9,9,9,10,10,10,11,11,11,11,11,12,12,12,12,13,13,13,13,13,13,14,14,14,14,14,14,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,5,5,5,5,6,6,6,6,6,7,7,7,7,7,7,8,8,9,9,9,9,10,10,10,10,10,10,11,11,11,11,11,12,12,12,12,12,12,13,13,13,13,14,14,14,14,14,14,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,5,5,5,5,5,5,5,6,6,7,7,7,7,7,8,8,8,9,9,9,9,10,10,10,10,10,10,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,5,5,5,5,5,6,6,6,7,7,7,7,7,8,8,8,8,9,9,9,9,9,9,10,10,10,10,11,11,11,11,12,12,12,13,13,13,14,14,14,14,14,14,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,5,5,6,6,6,6,6,6,6,7,7,7,7,8,8,8,9,9,9,10,10,10,10,11,11,11,12,12,12,12,12,12,1,1,1,1,1,2,2,3,3,3,3,4,4,4,5,5,5,6,6,6,6,7,7,7,7,8,8,8,8,9,9,9,9,10,10,10,10,10,10,10,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,5,5,6,6,7,7,8,8,8,8,8,8,8,8,9,9,9,9,10,10,10,10,10,10,11,11,11,11,12,12,12,12,13,13,14,14,14,14,14,15,15,15,15,15,16,16,16,16,16,16,16,16,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,5,5,6,6,7,7,7,7,7,7,7,7,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,5,5,6,6,6,6,6,6,6,6,1,1,1,2,2,2,2,2,3,3,4,4,4,5,5,5,5,5,5,6,6,6,7,7,8,8,9,9,9,9,10,10,10,10,11,11,11,11,11,12,12,13,13,13,13,13,13,13,14,14,15,15,16,16,16,16,17,17,17,18,18,18,19,19,19,19,19,19,20,20,20,21,21,21,22,22,23,23,23,23,23,23,23,23,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,5,5,5,5,6,6,6,6,6,7,7,7,7,8,8,8,8,8,8,8,8,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,5,5,6,6,7,7,7,7,7,8,8,8,8,9,9,9,9,10,10,10,11,11,11,11,11,11,11,1,1,1,1,1,1,1,1,2,2,3,3,3,3,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