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