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