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2,2,20,1,2,21,2,2,20,1,2,20,1,2,22,2,2,22,2,2,21,1,2,22,2,2,21,1,2,21,1,2,23,2,2,23,2,2,22,1,2,23,2,2,22,1,2,22,1,2,24,2,2,24,2,2,23,1,2,24,2,2,23,1,2,23,1,2,25,2,2,25,2,2,24,1,2,25,2,2,24,1,2,24,1,2,26,2,2,26,2,2,25,1,2,26,2,2,25,1,2,25,1,2,27,2,2,27,2,2,26,1,2,27,2,2,26,1,2,26,1,2,28,2,2,28,2,2,27,1,2,28,2,2,27,1,2,27,1,2,29,2,2,29,2,2,28,1,2,29,2,2,28,1,2,28,1,2,30,2,2,30,2,2,29,1,2,30,2,2,29,1,2,29,1,2,31,2,2,31,2,2,30,1,2,31,2,2,30,1,2,30,1,2,32,2,2,32,2,2,31,1,2,32,2,2,31,1,2,31,2,3,1,3,3,1,3,3,0,2,3,1,3,3,0,2,3,0,2,3,2,3,3,2,3,3,1,2,3,2,3,3,1,2,3,1,2,3,3,3,3,3,3,3,2,2,3,3,3,3,2,2,3,2,2,3,4,3,3,4,3,3,3,2,3,4,3,3,3,2,3,3,2,3,5,3,3,5,3,3,4,2,3,5,3,3,4,2,3,4,2,3,6,3,3,6,3,3,5,2,3,6,3,3,5,2,3,5,2,3,7,3,3,7,3,3,6,2,3,7,3,3,6,2,3,6,2,3,8,3,3,8,3,3,7,2,3,8,3,3,7,2,3,7,2,3,9,3,3,9,3,3,8,2,3,9,3,3,8,2,3,8,2,3,10,3,3,10,3,3,9,2,3,10,3,3,9,2,3,9,2,2,10,3,2,10,3,3,10,2,2,10,3,3,10,2,3,10,2,2,9,2,2,10,2,3,10,2,2,9,2,3,10,2,3,9,2,2,11,3,2,11,3,2,10,2,2,11,3,2,10,2,2,10,2,2,12,3,2,12,3,2,11,2,2,12,3,2,11,2,2,11,2,2,13,3,2,13,3,2,12,2,2,13,3,2,12,2,2,12,2,2,14,3,2,14,3,2,13,2,2,14,3,2,13,2,2,13,2,2,15,3,2,15,3,2,14,2,2,15,3,2,14,2,2,14,2,2,16,3,2,16,3,2,15,2,2,16,3,2,15,2,2,15,2,2,17,3,2,17,3,2,16,2,2,17,3,2,16,2,2,16,2,2,18,3,2,18,3,2,17,2,2,18,3,2,17,2,2,17,2,2,19,3,2,19,3,2,18,2,2,19,3,2,18,2,2,18,2,2,20,3,2,20,3,2,19,2,2,20,3,2,19,2,2,19,2,2,21,3,2,21,3,2,20,2,2,21,3,2,20,2,2,20,2,2,22,3,2,22,3,2,21,2,2,22,3,2,21,2,2,21,2,2,23,3,2,23,3,2,22,2,2,23,3,2,22,2,2,22,2,2,24,3,2,24,3,2,23,2,2,24,3,2,23,2,2,23,2,2,25,3,2,25,3,2,24,2,2,25,3,2,24,2,2,24,2,2,26,3,2,26,3,2,25,2,2,26,3,2,25,2,2,25,2,2,27,3,2,27,3,2,26,2,2,27,3,2,26,2,2,26,2,2,28,3,2,28,3,2,27,2,2,28,3,2,27,2,2,27,2,2,29,3,2,29,3,2,28,2,2,29,3,2,28,2,2,28,2,2,30,3,2,30,3,2,29,2,2,30,3,2,29,2,2,29,2,2,31,3,2,31,3,2,30,2,2,31,3,2,30,2,2,30,2,2,32,3,2,32,3,2,31,2,2,32,3,2,31,2,2,31,3,3,1,4,3,1,4,3,0,3,3,1,4,3,0,3,3,0,3,3,2,4,3,2,4,3,1,3,3,2,4,3,1,3,3,1,3,3,3,4,3,3,4,3,2,3,3,3,4,3,2,3,3,2,3,3,4,4,3,4,4,3,3,3,3,4,4,3,3,3,3,3,3,3,5,4,3,5,4,3,4,3,3,5,4,3,4,3,3,4,3,3,6,4,3,6,4,3,5,3,3,6,4,3,5,3,3,5,3,3,7,4,3,7,4,3,6,3,3,7,4,3,6,3,3,6,3,3,8,4,3,8,4,3,7,3,3,8,4,3,7,3,3,7,3,3,9,4,3,9,4,3,8,3,3,9,4,3,8,3,3,8,3,3,10,4,3,10,4,3,9,3,3,10,4,3,9,3,3,9,3,3,11,4,3,11,4,3,10,3,3,11,4,3,10,3,3,10,3,2,10,3,2,11,3,3,11,3,2,10,3,3,11,3,3,10,3,3,12,4,3,12,4,3,11,3,3,12,4,3,11,3,3,11,3,2,11,3,2,12,3,3,12,3,2,11,3,3,12,3,3,11,3,3,13,4,3,13,4,3,12,3,3,13,4,3,12,3,3,12,3,2,13,4,2,13,4,3,13,3,2,13,4,3,13,3,3,13,3,2,12,3,2,13,3,3,13,3,2,12,3,3,13,3,3,12,3,2,14,4,2,14,4,2,13,3,2,14,4,2,13,3,2,13,3,2,15,4,2,15,4,2,14,3,2,15,4,2,14,3,2,14,3,2,16,4,2,16,4,2,15,3,2,16,4,2,15,3,2,15,3,2,17,4,2,17,4,2,16,3,2,17,4,2,16,3,2,16,3,2,18,4,2,18,4,2,17,3,2,18,4,2,17,3,2,17,3,2,19,4,2,19,4,2,18,3,2,19,4,2,18,3,2,18,3,2,20,4,2,20,4,2,19,3,2,20,4,2,19,3,2,19,3,2,21,4,2,21,4,2,20,3,2,21,4,2,20,3,2,20,3,2,22,4,2,22,4,2,21,3,2,22,4,2,21,3,2,21,3,2,23,4,2,23,4,2,22,3,2,23,4,2,22,3,2,22,3,2,24,4,2,24,4,2,23,3,2,24,4,2,23,3,2,23,3,2,25,4,2,25,4,2,24,3,2,25,4,2,24,3,2,24,3,2,26,4,2,26,4,2,25,3,2,26,4,2,25,3,2,25,3,2,27,4,2,27,4,2,26,3,2,27,4,2,26,3,2,26,3,2,28,4,2,28,4,2,27,3,2,28,4,2,27,3,2,27,3,2,29,4,2,29,4,2,28,3,2,29,4,2,28,3,2,28,3,2,30,4,2,30,4,2,29,3,2,30,4,2,29,3,2,29,3,2,31,4,2,31,4,2,30,3,2,31,4,2,30,3,2,30,3,2,32,4,2,32,4,2,31,3,2,32,4,2,31,3,2,31,4,3,1,5,3,1,5,3,0,4,3,1,5,3,0,4,3,0,4,3,2,5,3,2,5,3,1,4,3,2,5,3,1,4,3,1,4,3,3,5,3,3,5,3,2,4,3,3,5,3,2,4,3,2,4,3,4,5,3,4,5,3,3,4,3,4,5,3,3,4,3,3,4,3,5,5,3,5,5,3,4,4,3,5,5,3,4,4,3,4,4,3,6,5,3,6,5,3,5,4,3,6,5,3,5,4,3,5,4,3,7,5,3,7,5,3,6,4,3,7,5,3,6,4,3,6,4,3,8,5,3,8,5,3,7,4,3,8,5,3,7,4,3,7,4,3,9,5,3,9,5,3,8,4,3,9,5,3,8,4,3,8,4,3,10,5,3,10,5,3,9,4,3,10,5,3,9,4,3,9,4,3,11,5,3,11,5,3,10,4,3,11,5,3,10,4,3,10,4,3,12,5,3,12,5,3,11,4,3,12,5,3,11,4,3,11,4,3,13,5,3,13,5,3,12,4,3,13,5,3,12,4,3,12,4,3,14,5,3,14,5,3,13,4,3,14,5,3,13,4,3,13,4,2,13,4,2,14,4,3,14,4,2,13,4,3,14,4,3,13,4,3,15,5,3,15,5,3,14,4,3,15,5,3,14,4,3,14,4,2,15,5,2,15,5,3,15,4,2,15,5,3,15,4,3,15,4,2,14,4,2,15,4,3,15,4,2,14,4,3,15,4,3,14,4,2,16,5,2,16,5,2,15,4,2,16,5,2,15,4,2,15,4,2,17,5,2,17,5,2,16,4,2,17,5,2,16,4,2,16,4,2,18,5,2,18,5,2,17,4,2,18,5,2,17,4,2,17,4,2,19,5,2,19,5,2,18,4,2,19,5,2,18,4,2,18,4,2,20,5,2,20,5,2,19,4,2,20,5,2,19,4,2,19,4,2,21,5,2,21,5,2,20,4,2,21,5,2,20,4,2,20,4,2,22,5,2,22,5,2,21,4,2,22,5,2,21,4,2,21,4,2,23,5,2,23,5,2,22,4,2,23,5,2,22,4,2,22,4,2,24,5,2,24,5,2,23,4,2,24,5,2,23,4,2,23,4,2,25,5,2,25,5,2,24,4,2,25,5,2,24,4,2,24,4,2,26,5,2,26,5,2,25,4,2,26,5,2,25,4,2,25,4,2,27,5,2,27,5,2,26,4,2,27,5,2,26,4,2,26,4,2,28,5,2,28,5,2,27,4,2,28,5,2,27,4,2,27,4,2,29,5,2,29,5,2,28,4,2,29,5,2,28,4,2,28,4,2,30,5,2,30,5,2,29,4,2,30,5,2,29,4,2,29,4,2,31,5,2,31,5,2,30,4,2,31,5,2,30,4,2,30,4,2,32,5,2,32,5,2,31,4,2,32,5,2,31,4,2,31,5,3,1,6,3,1,6,3,0,5,3,1,6,3,0,5,3,0,5,3,2,6,3,2,6,3,1,5,3,2,6,3,1,5,3,1,5,3,3,6,3,3,6,3,2,5,3,3,6,3,2,5,3,2,5,3,4,6,3,4,6,3,3,5,3,4,6,3,3,5,3,3,5,3,5,6,3,5,6,3,4,5,3,5,6,3,4,5,3,4,5,3,6,6,3,6,6,3,5,5,3,6,6,3,5,5,3,5,5,3,7,6,3,7,6,3,6,5,3,7,6,3,6,5,3,6,5,3,8,6,3,8,6,3,7,5,3,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