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