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