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