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3,1,2,3,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,6,7,8,1,2,3,4,5,1,2,3,1,2,1,2,3,4,1,2,3,4,5,1,2,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,4,1,2,3,1,2,3,4,5,6,1,2,3,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,1,2,3,1,2,3,4,5,6,1,2,1,2,3,1,2,1,2,3,1,2,1,2,3,4,5,1,2,1,2,3,4,1,2,3,4,5,6,1,2,1,2,3,4,5,1,2,3,4,1,2,3,4,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,1,2,3,1,2,3,4,5,6,7,1,2,3,4,1,2,3,4,5,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,6,7,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,1,2,1,2,3,4,5,1,2,3,1,2,3,1,2,3,1,2,3,4,5,1,2,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,6,7,1,2,3,1,2,3,1,2,3,1,2,3,4,5,1,2,1,2,3,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,1,2,3,4,1,2,3,4,5,6,1,2,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,6,7,8,1,2,3,4,5,6,7,8,9,1,2,3,4,1,2,1,2,3,4,1,2,3,1,2,3,4,1,2,3,4,5,6,1,2,3,1,2,3,4,5,6,1,2,3,4,5,1,2,3,1,2,3,1,2,3,4,5,1,2,1,2,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,1,2,3,4,5,6,7,8,1,2,3,1,2,1,2,3,4,1,2,3,4,1,2,3,1,2,3,4,5,1,2,3,4,1,2,3,4,5,1,2,3,4,1,2,3,4,5,6,7,8,1,2,3,4,5,1,2,3,4,1,2,3,4,5,6,7,8,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,6,7,8,1,2,1,2,3,4,1,2,3,4,1,2,3,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,1,2,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,1,2,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,6,1,2,1,2,1,2,3,4,5,6,1,2,1,2,1,2,3,4,1,2,1,2,3,4,5,1,2,3,4,5,6,7,1,2,3,4,5,6,1,2,3,4,5,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,4,5,1,2,3,1,2,3,1,2,3,4,5,6,1,2,3,4,1,2,1,2,3,4,5,1,2,3,4,1,2,3,1,2,3,4,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,1,2,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,7,8,9,1,2,3,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,1,2,1,2,1,2,3,4,5,1,2,1,2,3,4,5,1,2,3,4,1,2,3,1,2,3,1,2,3,4,5,1,2,1,2,3,1,2,3,4,1,2,3,1,2,3,4,5,1,2,3,1,2,3,4,1,2,3,4,1,2,3,4,5,1,2,1,2,3,4,1,2,3,4,1,2,3,1,2,3,4,5,6,7,8,1,2,3,4,5,1,2,3,4,5,1,2,1,2,3,4,1,2,3,4,1,2,3,4,5,1,2,3,4,5,1,2,1,2,3,4,1,2,3,4,1,2,3,4,5,6,7,8,1,2,3,4,1,2,3,1,2,3,4,5,6,7,8,1,2,3,4,5,6,1,2,3,4,5,6,7,1,2,3,4,1,2,3,4,1,2,3,4,5,6,7,1,2,3,4,1,2,3,4,5,6,1,2,3,1,2,3,4,5,6,7,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,1,2,1,2,3,4,1,2,3,4,5,1,2,1,2,3,4,5,6,7,1,2,3,1,2,3,4,5,6,1,2,3,4,1,2,3,4,1,2,3,4,5,6,7,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,1,2,3,4,1,2,1,2,3,4,5,6,1,2,1,2,3,4,5,1,2,3,4,5,6,7,8,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,6,7,1,2,3,4,5,1,2,3,4,5,6,7,8,1,2,3,4,5,6,7,1,2,3,4,5,1,2,1,2,3,4,1,2,3,4,1,2,3,4,5,1,2,3,1,2,3,4,1,2,3,4,5,6,7,8,1,2,3,4,5,6,7,1,2,3,4,5,1,2,3,4,5,6,1,2,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,1,2,1,2,3,1,2,3,4,5,1,2,3,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,1,2,1,2,3,1,2,3,4,5,1,2,3,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,1,2,1,2,3,4,5,6,1,2,3,4,5,1,2,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,1,2,1,2,3,4,5,6,1,2,3,4,5,1,2,1,2,3,4,5,1,2,1,2,3,1,2,3,4,5,1,2,3,4,1,2,3,4,5,1,2,1,2,3,4,1,2,3,4,5,6,1,2,3,1,2,3,4,5,6,7,8,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,1,2,3,4,1,2,3,4,1,2,3,4,5,1,2,3,4,1,2,3,1,2,3,4,5,1,2,3,4,5,6,7,8,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,6,1,2,3,1,2,3,1,2,3,1,2,3,4,5,1,2,3,4,1,2,3,4,5,6,1,2,1,2,3,4,5,6,1,2,3,1,2,3,4,5,6,1,2,3,1,2,3,4,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,1,2,3,4,1,2,1,2,3,1,2,1,2,3,4,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,1,2,3,1,2,1,2,3,4,5,1,2,3,4,5,6,7,1,2,3,1,2,1,2,3,1,2,3,4,5,1,2,3,1,2,3,4,1,2,3,1,2,3,4,1,2,1,2,3,4,5,1,2,3,4,5,6,1,2,3,1,2,3,4,1,2,1,2,3,4,5,1,2,3,4,5,6,1,2,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,1,2,3,4,5,6,7,1,2,3,4,5,6,1,2,1,2,3,1,2,3,4,1,2,1,2,3,4,5,1,2,3,1,2,3,4,5,1,2,3,4,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,6,7,1,2,3,4,5,1,2,3,4,5,1,2,3,1,2,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,1,2,1,2,3,4,5,6,7,8,1,2,3,4,5,1,2,3,4,1,2,3,4,5,1,2,3,4,5,1,2,3,1,2,1,2,3,1,2,3,4,5,6,7,8,1,2,3,1,2,3,4,5,6,1,2,1,2,3,4,5,1,2,3,1,2,3,4,5,6,7,1,2,3,4,5,6,1,2,3,4,1,2,3,4,5,1,2,1,2,3,4,1,2,3,4,1,2,3,4,1,2,1,2,3,4,5,6,7,8,1,2,3,1,2,3,4,1,2,3,4,1,2,3,4,5,6,1,2,3,4,1,2,3,1,2,3,1,2,3,4,5,1,2,3,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,1,2,3,4,1,2,3,1,2,3,4,5,6,7,1,2,1,2,3,4,5,1,2,3,4,5,6,7,1,2,1,2,1,2,1,2,3,4,5,6,1,2,3,4,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,1,2,3,4,1,2,3,4,5,1,2,3,4,1,2,3,1,2,3,4,5,1,2,3,1,2,1,2,3,4,1,2,3,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,5,6,7,1,2,3,4,1,2,3,4,5,6,1,2,3,1,2,3,4,5,6,1,2,3,4,1,2,3,1,2,3,4,1,2,3,4,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,1,2,1,2,3,1,2,1,2,3,4,1,2,3,4,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,4,1,2,3,1,2,3,4,1,2,3,1,2,3,4,5,1,2,1,2,3,4,1,2,3,1,2,3,4,5,1,2,1,2,3,4,1,2,3,4,1,2,3,1,2,3,4,5,1,2,3,1,2,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,1,2,1,2,1,2,3,4,5,6,7,8,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,1,2,3,4,5,1,2,3,1,2,3,4,5,1,2,1,2,3,4,1,2,1,2,1,2,3,4,5,6,1,2,3,4,5,6,7,1,2,1,2,3,4,5,1,2,3,1,2,1,2,3,4,1,2,3,1,2,3,1,2,3,4,1,2,3,4,5,6,7,1,2,3,4,5,6,7,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,6,1,2,3,4,5,6,7,8,1,2,3,4,5,6,1,2,3,1,2,1,2,3,4,5,1,2,3,4,5,6,7,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,6,7,8,1,2,3,4,1,2,3,4,5,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,1,2,3,4,5,1,2,3,4,1,2,3,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,1,2,1,2,3,1,2,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,5,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3,3,4,4,4,5,5,6,6,6,6,7,7,7,8,8,8,9,9,9,10,10,10,10,11,11,11,12,12,12,12,12,13,13,14,14,14,15,15,16,16,17,17,17,18,18,18,19,19,19,19,20,20,21,21,21,21,22,22,23,23,23,23,23,23,23,23,1,1,1,2,2,3,3,3,4,4,4,4,5,5,6,6,7,7,7,7,7,8,8,9,9,9,10,10,11,11,12,12,12,13,13,13,13,14,14,14,14,15,15,16,16,16,16,16,16,16,17,17,17,18,18,19,19,19,19,19,19,19,19,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,5,5,5,6,6,6,6,6,6,7,7,7,7,8,8,8,8,9,9,9,10,10,10,11,11,11,12,12,12,12,13,13,13,13,13,13,13,14,14,15,15,15,15,15,16,16,16,17,17,17,17,18,18,18,18,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,5,5,5,5,5,5,6,6,6,6,7,7,8,8,8,9,9,9,9,9,9,10,10,10,11,11,11,12,12,12,12,13,13,14,14,14,15,15,15,15,16,16,16,16,16,17,17,18,18,18,18,18,18,18,19,19,19,19,19,19,19,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,5,5,5,6,6,6,6,6,7,7,7,7,7,7,8,8,8,8,9,9,10,10,10,11,11,12,12,12,12,13,13,13,13,14,14,15,15,15,15,16,16,16,17,17,17,17,17,17,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,5,5,5,5,6,6,7,7,7,7,8,8,8,9,9,9,10,10,10,10,11,11,11,11,11,12,12,12,12,13,13,13,13,13,13,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,5,5,5,5,5,6,6,6,6,7,7,7,7,8,8,8,8,8,8,9,9,9,9,9,10,10,10,10,10,10,11,11,11,11,11,11,12,12,12,13,13,13,14,14,14,14,14,15,15,15,16,16,16,16,16,16,17,17,17,17,17,17,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,5,5,5,5,5,6,6,6,7,7,7,8,8,8,8,8,8,9,9,9,9,9,9,9,10,10,11,11,11,11,12,12,12,13,13,13,14,14,15,15,15,15,15,15,15,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,5,5,5,6,6,6,6,6,6,6,7,7,7,7,8,8,8,9,9,9,10,10,10,10,11,11,11,11,12,12,12,12,12,12,12,13,13,13,14,14,14,14,15,15,15,16,16,16,16,16,16,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,5,5,6,6,7,7,7,7,7,7,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,5,5,5,6,6,6,6,6,7,7,8,8,9,9,9,9,10,10,10,11,11,12,12,12,12,13,13,13,13,13,13,13,13,14,14,15,15,15,16,16,16,17,17,17,18,18,18,18,18,18,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,5,5,6,6,6,6,6,7,7,8,8,8,8,8,9,9,9,9,9,9,9,10,10,10,11,11,11,11,12,12,12,12,12,13,13,13,14,14,14,14,14,14,15,15,15,15,16,16,17,17,17,18,18,18,19,19,20,20,20,21,21,21,21,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,5,5,5,5,6,6,6,6,6,6,7,7,7,7,7,7,8,8,8,9,9,9,9,9,10,10,10,11,11,11,11,11,11,11,11,12,12,13,13,13,13,14,14,14,14,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,5,5,5,5,6,6,6,6,6,7,7,7,7,8,8,8,8,8,8,8,9,9,9,10,10,11,11,11,11,12,12,12,12,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,5,5,5,5,6,6,6,6,7,7,7,7,7,7,7,8,8,8,9,9,10,10,10,10,11,11,11,11,11,12,12,12,12,13,13,13,14,14,14,14,15,15,15,15,16,16,16,17,17,17,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,5,5,5,6,6,6,6,6,7,7,7,7,7,7,8,8,8,8,9,9,10,10,10,11,11,12,12,12,12,13,13,13,13,14,14,15,15,15,15,15,15,16,16,17,17,17,17,17,18,18,18,18,18,18,18,18,18,19,19,19,19,20,20,20,20,20,20,20,20,20,21,21,22,22,22,22,22,23,23,23,23,24,24,25,25,25,26,26,26,26,27,27,27,27,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,5,5,5,5,6,6,6,6,6,7,7,7,8,8,8,8,9,9,9,9,9,9,9,10,10,11,11,11,11,12,12,13,13,13,13,14,14,14,14,14,14,14,15,15,15,15,15,16,16,16,17,17,18,18,18,19,19,19,19,19,19,20,20,20,20,21,21,21,21,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,5,5,5,6,6,6,7,7,7,7,8,8,9,9,9,10,10,10,10,10,10,10,11,11,11,12,12,12,12,13,13,13,14,14,14,14,14,14,15,15,16,16,16,16,17,17,18,18,18,18,18,19,19,19,20,20,20,20,20,20,20,20,21,21,21,22,22,22,22,22,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,5,5,5,6,6,6,6,7,7,7,7,7,7,8,8,8,8,9,9,10,10,10,11,11,11,11,12,12,12,13,13,13,13,13,13,14,14,14,14,15,15,15,15,15,15,15,16,16,16,16,17,17,17,17,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,5,5,5,5,5,6,6,6,6,6,7,7,7,7,8,8,8,9,9,9,10,10,10,11,11,11,11,11,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,5,5,5,5,5,6,6,6,6,6,6,7,7,7,7,7,7,8,8,8,9,9,9,9,9,10,10,10,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,5,5,5,5,5,6,6,6,6,6,6,7,7,7,7,7,7,8,8,8,9,9,9,9,9,10,10,10,11,11,11,12,12,12,13,13,13,13,13,14,14,15,15,15,16,16,17,17,17,17,17,18,18,18,18,18,18,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,5,5,5,5,5,5,5,6,6,7,7,7,7,7,7,8,8,8,8,8,8,1,1,1,2,2,3,3,3,3,3,4,4,4,4,5,5,5,6,6,7,7,7,7,7,8,8,8,8,8,9,9,9,9,10,10,10,11,11,11,11,12,12,12,12,12,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,5,5,5,5,5,5,5,6,6,6,6,6,7,7,7,7,7,8,8,8,9,9,9,9,10,10,10,11,11,11,12,12,13,13,13,14,14,14,14,15,15,15,15,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,5,5,5,6,6,6,6,7,7,7,7,7,8,8,8,8,8,9,9,9,9,10,10,10,10,11,11,11,11,11,12,12,13,13,13,14,14,14,15,15,15,15,15,15,16,16,16,17,17,17,18,18,18,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,5,5,5,5,5,5,6,6,6,7,7,7,7,8,8,8,8,8,9,9,9,9,9,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,5,5,5,5,6,6,6,6,6,7,7,7,7,8,8,8,8,9,9,10,10,10,10,11,11,11,11,12,12,12,12,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,5,5,5,5,6,6,6,6,7,7,7,7,8,8,8,8,8,8,8,9,9,9,9,9,10,10,10,11,11,11,11,11,12,12,12,13,13,13,13,14,14,14,14,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,5,5,5,5,5,6,6,6,6,6,6,7,7,7,7,7,7,8,8,8,8,8,8,8,9,9,10,10,10,11,11,11,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,5,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,5,5,5,6,6,7,7,7,8,8,8,9,9,9,10,10,10,10,10,11,11,11,11,11,11,12,12,12,12,13,13,13,14,14,14,14,14,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,5,5,5,6,6,6,7,7,7,7,8,8,8,9,9,9,9,10,10,10,10,11,11,11,11,12,12,12,13,13,13,13,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,5,5,5,6,6,6,7,7,7,7,7,8,8,8,8,8,8,9,9,9,9,9,9,9,10,10,10,11,11,11,11,11,12,12,12,12,12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1,2,2,3,3,3,3,3,3,4,4,4,5,5,5,6,6,6,6,7,7,7,7,7,8,8,8,8,9,9,9,9,9,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,5,5,5,5,6,6,6,6,6,6,7,7,8,8,9,9,9,10,10,11,11,11,11,11,12,12,12,12,12,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,5,5,5,5,5,6,6,6,6,6,6,6,7,7,7,7,8,8,8,8,9,9,10,10,10,10,10,10,11,11,11,11,11,12,12,12,13,13,13,13,13,1,1,1,2,2,3,3,4,4,4,4,4,4,5,5,5,5,6,6,7,7,7,7,7,8,8,8,9,9,9,10,10,10,10,10,10,11,11,11,11,11,11,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,5,5,5,6,6,6,7,7,7,7,8,8,8,8,8,8,9,9,9,9,9,10,10,11,11,11,11,11,12,12,12,12,12,13,13,13,14,14,14,14,14,14,1,1,1,2,2,2,2,3,3,3,3,3,4,4,5,5,5,5,5,6,6,7,7,7,8,8,9,9,9,9,9,10,10,10,11,11,11,11,11,12,12,12,12,12,12,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,5,5,5,6,6,6,6,6,6,6,7,7,7,7,8,8,8,9,9,9,9,9,10,10,11,11,12,12,12,12,13,13,13,13,13,13,14,14,14,14,14,1,1,1,2,2,2,3,3,3,3,4,4,4,4,5,5,5,5,5,5,6,6,7,7,7,7,7,7,8,8,8,9,9,9,9,9,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,5,5,6,6,6,6,7,7,7,7,7,8,8,8,8,8,8,8,8,9,9,9,10,10,10,10,11,11,11,11,11,11,11,11,12,12,12,13,13,13,13,13,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,5,5,5,5,6,6,6,6,7,7,7,7,7,7,8,8,8,8,9,9,9,10,10,10,10,11,11,11,12,12,12,12,12,1,1,2,2,3,3,3,3,4,4,4,5,5,5,5,5,5,6,6,6,6,6,7,7,7,7,8,8,8,9,9,10,10,10,10,11,11,11,11,11,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,5,5,5,5,5,6,6,7,7,7,8,8,8,9,9,9,10,10,10,10,10,10,11,11,12,12,12,12,12,13,13,13,14,14,14,14,14,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,5,5,5,5,5,5,6,6,6,6,7,7,8,8,9,9,9,10,10,11,11,12,12,12,12,12,13,13,13,13,13,1,1,1,2,2,2,2,3,3,4,4,4,5,5,6,6,6,6,7,7,7,8,8,8,8,9,9,9,9,9,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,5,5,5,5,5,6,6,6,7,7,8,8,8,8,8,9,9,9,9,10,10,10,10,11,11,11,11,11,11,11,12,12,13,13,13,13,13,14,14,14,14,14,15,15,15,16,16,16,17,17,17,17,17,18,18,18,18,19,19,19,19,19,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,5,5,5,5,6,6,6,6,6,6,6,7,7,8,8,9,9,9,10,10,10,10,11,11,11,11,12,12,12,12,12,13,13,13,14,14,14,14,14,1,1,1,1,1,1,2,2,3,3,3,3,4,4,5,5,5,6,6,6,6,7,7,7,8,8,9,9,9,9,9,10,10,10,10,10,10,1,1,2,2,2,2,3,3,4,4,4,5,5,6,6,6,6,7,7,7,7,8,8,8,8,8,9,9,9,9,9,9,9,10,10,10,10,10,10,11,11,11,11,11,11,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,5,5,5,5,6,6,6,6,6,7,7,7,7,8,8,9,9,9,9,10,10,10,10,10,11,11,11,11,11,11,11,11,11,12,12,12,12,12,1,1,2,2,2,2,3,3,4,4,4,5,5,6,6,6,6,7,7,8,8,8,8,9,9,10,10,10,10,10,10,11,11,11,12,12,12,12,13,13,13,13,13,14,14,14,15,15,15,15,16,16,16,16,16,17,17,17,17,17,18,18,18,18,18,19,19,20,20,20,20,20,21,21,21,22,22,23,23,23,24,24,24,25,25,25,25,26,26,26,26,26,1,1,1,2,2,2,3,3,3,3,3,4,4,5,5,5,5,5,5,6,6,7,7,7,7,7,8,8,8,8,8,9,9,9,10,10,11,11,11,11,11,12,12,12,12,13,13,13,13,14,14,14,14,15,15,15,15,15,1,1,2,2,3,3,3,4,4,5,5,5,5,5,6,6,6,6,6,6,7,7,7,7,7,8,8,8,8,8,8,8,9,9,9,9,9,9,10,10,10,10,10,11,11,12,12,12,12,12,12,13,13,13,13,14,14,14,14,14,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,5,5,5,5,6,6,6,6,6,6,7,7,7,8,8,8,9,9,9,9,9,9,10,10,10,10,10,11,11,11,11,11,1,1,1,2,2,2,3,3,3,3,4,4,4,5,5,5,5,5,5,6,6,6,7,7,7,7,8,8,8,9,9,9,10,10,10,11,11,11,11,11,11,12,12,13,13,13,13,14,14,14,14,14,14,14,15,15,15,16,16,16,16,16,16,16,17,17,17,18,18,18,18,18,18,19,19,19,19,20,20,20,20,20,21,21,21,21,22,22,22,22,22,22,23,23,23,23,24,24,24,24,25,25,25,26,26,26,26,26,26,27,27,27,27,27,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,5,5,5,5,5,5,5,5,6,6,6,6,6,6,7,7,7,7,8,8,8,9,9,9,9,9,10,10,10,10,10,10,11,11,11,11,12,12,12,12,12,12,12,12,13,13,13,13,14,14,14,14,14,1,1,1,1,2,2,2,2,3,3,4,4,4,4,5,5,5,5,6,6,6,7,7,7,7,7,7,7,8,8,8,8,8,8,9,9,9,9,10,10,10,11,11,12,12,12,12,13,13,13,13,13,14,14,14,14,15,15,15,16,16,16,16,17,17,18,18,18,19,19,19,20,20,20,20,21,21,21,21,21,21,21,21,22,22,22,23,23,23,23,23,1,1,2,2,3,3,3,3,4,4,4,4,4,4,5,5,5,5,5,6,6,6,6,7,7,7,8,8,8,9,9,9,9,9,9,9,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,13,13,13,13,13,13,13,14,14,14,14,14,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,5,5,5,5,5,6,6,6,6,6,7,7,7,7,8,8,8,9,9,9,9,9,9,10,10,11,11,11,11,11,12,12,12,12,13,13,14,14,14,14,14,15,15,15,16,16,16,16,16,17,17,17,17,17,17,18,18,18,18,18,18,1,1,1,2,2,2,3,3,3,3,4,4,5,5,5,5,6,6,6,6,6,6,7,7,7,8,8,9,9,9,9,9,9,9,10,10,10,10,10,10,11,11,11,11,11,12,12,12,12,13,13,13,13,13,14,14,14,14,14,14,14,15,15,15,15,15,15,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,5,5,5,5,5,6,6,6,6,6,6,6,6,7,7,7,8,8,8,9,9,9,9,9,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,5,5,5,5,5,5,6,6,6,6,6,6,7,7,7,7,7,8,8,8,8,9,9,9,10,10,10,11,11,11,11,11,11,11,12,12,12,12,13,13,13,14,14,14,14,14,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,5,5,5,6,6,6,6,6,6,6,7,7,7,8,8,8,8,8,9,9,9,9,9,9,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,5,5,5,5,5,6,6,6,7,7,7,8,8,8,8,8,8,8,9,9,9,9,9,9,1,1,2,2,2,2,2,2,3,3,4,4,5,5,6,6,6,6,6,6,7,7,8,8,8,8,8,9,9,9,9,9,10,10,10,10,10,11,11,12,12,12,12,13,13,13,14,14,14,14,15,15,15,15,15,16,16,16,16,16,17,17,17,17,17,17,17,18,18,18,18,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,5,5,5,6,6,6,7,7,7,7,8,8,8,8,8,8,8,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,5,5,5,5,5,1,1,2,2,2,2,2,3,3,3,3,4,4,5,5,5,5,5,6,6,6,6,6,6,6,7,7,7,8,8,9,9,9,9,9,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,13,13,13,14,14,14,14,15,15,15,15,15,15,16,16,16,17,17,17,17,17,18,18,18,19,19,19,19,19,20,20,20,21,21,21,22,22,22,22,22,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,5,5,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3,4,4,4,4,5,5,5,6,6,6,6,7,7,7,7,7,7,7,8,8,8,8,8,8,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,5,5,5,5,5,5,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,5,5,6,6,6,6,7,7,8,8,8,9,9,9,9,9,10,10,10,10,11,11,11,12,12,12,12,12,12,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,5,5,5,5,5,5,6,6,6,7,7,7,7,8,8,8,8,8,8,9,9,9,9,10,10,10,10,10,10,11,11,11,11,12,12,12,12,12,12,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,5,5,5,5,5,6,6,6,6,7,7,7,7,7,7,7,8,8,8,8,8,8,9,9,9,9,10,10,10,10,10,11,11,11,11,12,12,12,12,12,13,13,13,13,13,13,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,5,5,5,5,5,5,6,6,7,7,7,7,8,8,8,8,8,8,8,8,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,5,5,5,5,5,5,5,6,6,6,6,7,7,7,8,8,8,8,8,9,9,9,9,10,10,10,11,11,11,12,12,12,12,12,12,13,13,14,14,14,14,15,15,15,15,15,15,15,16,16,16,16,16,16,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,5,5,6,6,6,7,7,7,8,8,8,9,9,9,9,9,9,9,9,9,10,10,10,10,11,11,11,11,12,12,12,13,13,13,13,13,13,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,5,5,5,5,5,5,6,6,6,6,6,6,7,7,7,8,8,9,9,9,9,9,9,10,10,10,10,10,10,1,1,1,2,2,2,2,2,3,3,4,4,4,4,5,5,5,6,6,6,6,6,7,7,8,8,8,9,9,10,10,10,10,11,11,12,12,12,12,12,13,13,13,13,14,14,14,14,15,15,15,15,16,16,16,16,1,1,1,2,2,2,2,3,3,3,3,4,4,4,5,5,6,6,6,6,6,6,7,7,7,8,8,8,8,8,9,9,10,10,10,11,11,12,12,12,12,13,13,13,13,14,14,14,14,15,15,15,15,16,16,16,16,17,17,17,17,17,17,18,18,18,18,19,19,19,20,20,20,20,21,21,22,22,22,23,23,23,24,24,24,24,24,24,24,25,25,25,25,25,26,26,27,27,27,27,28,28,28,29,29,29,30,30,30,30,30,31,31,31,31,32,32,32,32,32,33,33,33,34,34,34,35,35,35,36,36,36,37,37,37,38,38,38,38,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,5,5,5,5,6,6,6,6,6,6,7,7,8,8,8,8,9,9,10,10,10,10,10,11,11,12,12,12,12,12,12,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,5,5,5,5,6,6,6,6,7,7,7,7,8,8,9,9,9,9,9,9,9,10,10,10,10,10,11,11,12,12,12,12,12,13,13,13,13,14,14,14,14,14,14,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,5,5,6,6,6,7,7,7,7,8,8,8,8,9,9,9,9,10,10,11,11,11,12,12,12,12,12,12,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,5,5,5,5,6,6,6,6,7,7,7,7,7,8,8,8,9,9,9,9,9,10,10,11,11,11,11,11,11,12,12,12,13,13,13,14,14,14,15,15,15,15,16,16,17,17,17,17,17,17,18,18,18,18,19,19,20,20,20,21,21,21,21,22,22,22,22,23,23,23,23,23,23,24,24,25,25,25,25,25,25,26,26,26,27,27,28,28,28,28,28,28,28,28,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,5,5,5,5,5,6,6,6,6,6,7,7,8,8,8,8,8,8,9,9,9,9,10,10,10,10,11,11,12,12,12,12,12,12,13,13,13,13,13,13,13,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,6,6,6,7,7,7,7,7,7,8,8,8,8,9,9,9,9,9,9,9,9,10,10,10,10,11,11,11,11,11,12,12,12,12,12,12,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,5,5,5,6,6,6,7,7,7,7,7,7,8,8,8,9,9,9,9,10,10,11,11,11,11,12,12,12,13,13,13,13,13,13,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,5,5,5,6,6,6,6,6,6,7,7,8,8,8,8,8,9,9,9,10,10,10,10,10,10,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,5,5,5,5,5,6,6,7,7,7,7,7,7,8,8,8,8,8,9,9,10,10,10,10,10,11,11,11,11,12,12,12,12,13,13,13,13,14,14,14,14,14,14,14,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,5,5,5,6,6,7,7,7,7,7,7,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,5,5,5,5,5,6,6,6,7,7,7,7,7,7,7,8,8,8,8,8,8,9,9,9,9,9,9,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,5,5,6,6,7,7,8,8,8,9,9,9,9,9,10,10,10,10,11,11,11,11,11,11,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,5,5,5,5,5,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,5,5,5,5,5,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,5,5,5,5,5,5,6,6,6,6,6,6,6,7,7,7,7,7,8,8,8,8,8,8,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,5,5,6,6,6,7,7,7,7,7,7,8,8,9,9,9,9,10,10,10,11,11,11,11,11,11,1,1,1,2,2,2,3,3,3,3,4,4,4,4,5,5,5,6,6,7,7,7,7,7,8,8,8,8,8,8,9,9,9,10,10,10,11,11,12,12,12,12,12,12,13,13,13,13,14,14,14,14,15,15,15,15,15,15,15,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,5,5,5,5,5,5,5,6,6,7,7,7,7,7,7,7,7,1,1,1,1,1,1,1,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,5,5,5,6,6,6,6,6,6,6,6,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,5,5,5,6,6,6,6,6,7,7,7,7,7,8,8,8,8,8,9,9,9,9,9,10,10,10,11,11,11,12,12,12,12,12,12,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,5,5,5,5,5,6,6,6,7,7,8,8,8,8,8,8,9,9,9,10,10,10,10,10,10,10,11,11,12,12,12,12,12,13,13,13,14,14,14,14,15,15,16,16,16,17,17,17,18,18,19,19,19,19,19,19,20,20,20,20,20,21,21,21,21,21,22,22,23,23,23,23,24,24,25,25,26,26,26,27,27,27,27,27,27,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,5,5,5,5,6,6,6,6,6,6,7,7,7,7,7,7,8,8,8,8,9,9,9,10,10,10,10,11,11,11,11,12,12,12,13,13,13,13,13,13,13,14,14,14,14,14,15,15,15,15,15,16,16,17,17,17,17,18,18,19,19,19,19,19,19,20,20,21,21,21,21,21,21,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,5,5,5,5,6,6,6,6,6,7,7,7,7,7,8,8,8,8,8,8,8,9,9,9,9,9,10,10,10,10,10,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,5,5,5,5,6,6,6,6,6,7,7,7,7,7,8,8,8,8,8,8,8,9,9,9,9,9,10,10,10,10,10,11,11,11,11,11,12,12,13,13,13,13,14,14,14,14,14,15,15,16,16,16,16,16,16,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,5,5,5,5,6,6,6,6,6,6,7,7,7,8,8,8,8,9,9,9,9,9,9,10,10,10,10,11,11,11,12,12,12,13,13,13,13,13,14,14,14,14,14,15,15,16,16,16,16,17,17,17,17,17,18,18,18,18,19,19,19,20,20,20,20,20,20,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,5,5,5,5,5,6,6,6,7,7,7,7,7,7,8,8,9,9,9,9,9,9,10,10,10,10,10,10,11,11,11,11,11,12,12,13,13,13,13,14,14,15,15,15,15,15,16,16,16,16,16,16,16,17,17,18,18,18,18,19,19,19,19,19,19,10,10,10,10,10,10,11,11,11,11,11,12,12,13,13,13,13,14,14,15,15,15,15,15,16,16,16,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