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3,3,10,3,4,10,2,3,10,3,4,10,2,4,10,2,4,10,3,4,10,3,5,10,2,4,10,3,5,10,2,5,10,2,5,12,3,5,12,3,5,13,2,5,12,3,5,13,2,5,13,2,5,13,3,5,13,3,5,14,2,5,13,3,5,14,2,5,14,2,1,25,3,1,25,3,2,25,2,1,25,3,2,25,2,2,25,3,1,25,3,1,24,3,2,24,3,1,25,3,2,24,3,2,25,2,2,25,3,2,25,3,2,26,2,2,25,3,2,26,2,2,26,2,2,29,3,2,29,3,2,30,2,2,29,3,2,30,2,2,30,2,2,30,3,2,30,3,2,31,2,2,30,3,2,31,2,2,31,3,7,1,4,7,1,4,7,2,3,7,1,4,7,2,3,7,2,3,7,2,4,7,2,4,8,2,3,7,2,4,8,2,3,8,2,3,7,1,3,7,2,3,8,2,3,7,1,3,8,2,3,8,1,3,8,2,4,8,2,4,8,3,3,8,2,4,8,3,3,8,3,3,8,2,3,8,3,3,9,3,3,8,2,3,9,3,3,9,2,3,40,3,4,40,3,4,40,2,3,40,3,4,40,2,3,40,2,3,44,2,4,44,2,4,44,3,3,44,2,4,44,3,3,44,3,3,8,3,4,8,3,4,8,4,3,8,3,4,8,4,3,8,4,3,8,3,3,8,4,3,9,4,3,8,3,3,9,4,3,9,3,3,42,5,4,42,5,4,42,4,3,42,5,4,42,4,3,42,4,4,41,4,3,41,4,3,42,4,4,41,4,3,42,4,4,42,4,4,41,5,4,41,4,4,42,4,4,41,5,4,42,4,4,42,5,3,7,5,4,7,5,4,7,6,3,7,5,4,7,6,3,7,6,3,5,6,4,5,6,4,5,7,3,5,6,4,5,7,3,5,7,4,5,6,3,5,6,3,6,6,4,5,6,3,6,6,4,6,6,4,5,7,4,5,6,4,6,6,4,5,7,4,6,6,4,6,7,4,6,6,3,6,6,3,7,6,4,6,6,3,7,6,4,7,6,3,4,10,4,4,10,4,5,10,3,4,10,4,5,10,3,5,10,3,2,13,4,2,13,4,2,12,3,2,13,4,2,12,3,2,12,3,5,13,4,5,13,4,5,14,3,5,13,4,5,14,3,5,14,4,3,14,3,3,14,3,4,14,4,3,14,3,4,14,4,4,14,3,2,27,4,2,27,4,2,28,3,2,27,4,2,28,3,2,28,3,2,28,4,2,28,4,2,29,3,2,28,4,2,29,3,2,29,4,4,0,5,4,0,5,4,1,4,4,0,5,4,1,4,4,1,4,4,1,5,4,1,5,5,1,4,4,1,5,5,1,4,5,1,4,4,0,4,4,1,4,5,1,4,4,0,4,5,1,4,5,0,4,5,0,4,5,1,4,6,1,4,5,0,4,6,1,4,6,0,4,41,1,5,41,1,5,41,0,4,41,1,5,41,0,4,41,0,4,40,1,5,40,1,5,41,1,4,40,1,5,41,1,4,41,1,4,40,0,4,40,1,4,41,1,4,40,0,4,41,1,4,41,0,4,42,0,5,42,0,5,42,1,4,42,0,5,42,1,4,42,1,4,42,1,5,42,1,5,43,1,4,42,1,5,43,1,4,43,1,4,42,0,4,42,1,4,43,1,4,42,0,4,43,1,4,43,0,4,43,1,5,43,1,5,44,1,4,43,1,5,44,1,4,44,1,4,5,1,5,5,1,5,5,2,4,5,1,5,5,2,4,5,2,4,5,2,5,5,2,5,6,2,4,5,2,5,6,2,4,6,2,4,5,1,4,5,2,4,6,2,4,5,1,4,6,2,4,6,1,4,44,1,5,44,1,5,44,2,4,44,1,5,44,2,4,44,2,4,7,2,5,7,2,5,7,3,4,7,2,5,7,3,4,7,3,4,7,2,4,7,3,4,8,3,4,7,2,4,8,3,4,8,2,4,40,3,5,40,3,5,40,2,4,40,3,5,40,2,4,40,2,4,7,3,5,7,3,5,7,4,4,7,3,5,7,4,4,7,4,4,7,3,4,7,4,4,8,4,4,7,3,4,8,4,4,8,3,4,7,4,5,7,4,5,7,5,4,7,4,5,7,5,4,7,5,4,7,5,5,7,5,5,7,6,4,7,5,5,7,6,4,7,6,4,6,6,5,6,6,5,6,7,4,6,6,5,6,7,4,6,7,5,6,6,4,6,6,4,7,6,5,6,6,4,7,6,5,7,6,5,6,7,5,6,6,5,7,6,5,6,7,5,7,6,5,7,7,5,5,7,4,5,7,4,6,7,5,5,7,4,6,7,5,6,7,5,5,8,5,5,7,5,6,7,5,5,8,5,6,7,5,6,8,4,3,11,5,3,11,5,4,11,4,3,11,5,4,11,4,4,11,4,3,10,4,3,11,4,4,11,4,3,10,4,4,11,4,4,10,4,4,11,5,4,11,5,5,11,4,4,11,5,5,11,4,5,11,4,4,10,4,4,11,4,5,11,4,4,10,4,5,11,4,5,10,4,2,12,5,2,12,5,2,11,4,2,12,5,2,11,4,2,11,4,4,13,5,4,13,5,4,14,4,4,13,5,4,14,4,4,14,5,4,13,4,4,13,4,5,13,5,4,13,4,5,13,5,5,13,4,4,13,4,4,14,4,5,14,4,4,13,4,5,14,4,5,13,5,3,14,4,3,14,4,4,14,5,3,14,4,4,14,5,4,14,5,43,1,6,43,1,6,44,1,5,43,1,6,44,1,5,44,1,5,6,2,6,6,2,6,6,3,5,6,2,6,6,3,5,6,3,5,6,2,5,6,3,5,7,3,5,6,2,5,7,3,5,7,2,5,41,3,6,41,3,6,41,2,5,41,3,6,41,2,5,41,2,5,40,2,5,40,3,5,41,3,5,40,2,5,41,3,5,41,2,5,6,3,6,6,3,6,6,4,5,6,3,6,6,4,5,6,4,5,6,3,5,6,4,5,7,4,5,6,3,5,7,4,5,7,3,5,41,4,6,41,4,6,41,3,5,41,4,6,41,3,5,41,3,5,40,3,5,40,4,5,41,4,5,40,3,5,41,4,5,41,3,5,6,4,6,6,4,6,6,5,5,6,4,6,6,5,5,6,5,5,6,5,6,6,5,6,7,5,5,6,5,6,7,5,5,7,5,5,6,4,5,6,5,5,7,5,5,6,4,5,7,5,5,7,4,5,41,5,6,41,5,6,41,4,5,41,5,6,41,4,5,41,4,5,7,5,6,7,5,6,7,6,5,7,5,6,7,6,5,7,6,6,41,5,5,41,5,5,42,5,6,41,5,5,42,5,6,42,5,5,7,6,6,7,6,6,7,7,5,7,6,6,7,7,5,7,7,5,6,7,6,6,7,6,6,8,5,6,7,6,6,8,5,6,8,6,6,7,5,6,7,5,7,7,6,6,7,5,7,7,6,7,7,6,6,8,6,6,7,6,7,7,6,6,8,6,7,7,6,7,8,6,3,14,5,3,14,5,4,14,6,3,14,5,4,14,6,4,14,6,3,15,6,3,14,6,4,14,6,3,15,6,4,14,6,4,15,7,27,0,6,27,0,6,28,0,7,27,0,6,28,0,7,28,0,7,28,0,6,28,0,6,29,0,7,28,0,6,29,0,7,29,0,7,28,1,7,28,0,7,29,0,7,28,1,7,29,0,7,29,1,6,43,1,7,43,1,7,44,1,6,43,1,7,44,1,6,44,1,6,41,3,7,41,3,7,41,2,6,41,3,7,41,2,6,41,2,6,41,4,7,41,4,7,41,3,6,41,4,7,41,3,6,41,3,6,42,5,7,42,5,7,42,4,6,42,5,7,42,4,6,42,4,7,41,4,6,41,4,6,42,4,7,41,4,6,42,4,7,42,4,6,41,4,6,41,5,6,42,5,6,41,4,6,42,5,6,42,4,6,7,5,7,7,5,7,7,6,6,7,5,7,7,6,6,7,6,7,42,5,6,42,5,6,43,5,7,42,5,6,43,5,7,43,5,6,7,6,7,7,6,7,7,7,6,7,6,7,7,7,6,7,7,6,7,7,7,7,7,7,7,8,6,7,7,7,7,8,6,7,8,6,6,8,7,6,8,7,6,9,6,6,8,7,6,9,6,6,9,7,6,8,6,6,8,6,7,8,7,6,8,6,7,8,7,7,8,7,4,9,6,4,9,6,5,9,7,4,9,6,5,9,7,5,9,7,5,9,6,5,9,6,6,9,7,5,9,6,6,9,7,6,9,7,1,10,6,1,10,6,2,10,7,1,10,6,2,10,7,2,10,6,1,11,7,1,11,7,2,11,6,1,11,7,2,11,6,2,11,6,3,11,7,3,11,7,4,11,6,3,11,7,4,11,6,4,11,6,5,12,7,5,12,7,5,13,6,5,12,7,5,13,6,5,13,6,4,14,7,4,14,7,4,15,6,4,14,7,4,15,6,4,15,7,4,14,6,4,14,6,5,14,7,4,14,6,5,14,7,5,14,7,2,15,6,2,15,6,3,15,7,2,15,6,3,15,7,3,15,7,28,1,8,28,1,8,28,0,7,28,1,8,28,0,7,28,0,8,27,0,7,27,0,7,28,0,8,27,0,7,28,0,8,28,0,7,29,0,8,29,0,8,29,1,7,29,0,8,29,1,7,29,1,8,29,0,7,29,0,7,30,0,8,29,0,7,30,0,8,30,0,8,29,1,8,29,0,8,30,0,8,29,1,8,30,0,8,30,1,7,42,1,8,42,1,8,43,1,7,42,1,8,43,1,7,43,1,7,43,1,8,43,1,8,44,1,7,43,1,8,44,1,7,44,1,7,2,2,8,2,2,8,3,2,7,2,2,8,3,2,7,3,2,7,2,1,7,2,2,7,3,2,7,2,1,7,3,2,7,3,1,8,28,1,7,28,1,7,29,1,8,28,1,7,29,1,8,29,1,8,28,2,8,28,1,8,29,1,8,28,2,8,29,1,8,29,2,8,29,2,8,29,1,8,30,1,8,29,2,8,30,1,8,30,2,7,42,2,8,42,2,8,42,1,7,42,2,8,42,1,7,42,1,7,3,2,8,3,2,8,3,3,7,3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