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9,3,6,19,4,6,19,3,5,19,3,5,20,3,6,20,3,5,19,3,6,20,3,6,19,3,4,22,4,4,22,4,4,23,3,4,22,4,4,23,3,4,23,3,4,22,3,4,23,3,5,23,3,4,22,3,5,23,3,5,22,4,3,23,3,3,23,3,4,23,4,3,23,3,4,23,4,4,23,3,27,31,4,27,31,4,28,31,3,27,31,4,28,31,3,28,31,3,28,31,4,28,31,4,29,31,3,28,31,4,29,31,3,29,31,4,27,31,3,27,31,3,27,32,4,27,31,3,27,32,4,27,32,3,26,31,3,26,32,3,27,32,3,26,31,3,27,32,3,27,31,3,29,31,4,29,31,4,29,32,3,29,31,4,29,32,3,29,32,3,29,32,4,29,32,4,30,32,3,29,32,4,30,32,3,30,32,3,29,31,3,29,32,3,30,32,3,29,31,3,30,32,3,30,31,3,30,32,4,30,32,4,31,32,3,30,32,4,31,32,3,31,32,5,4,0,4,4,0,4,4,1,5,4,0,4,4,1,5,4,1,5,4,1,4,4,1,4,4,2,5,4,1,4,4,2,5,4,2,5,5,2,4,5,2,4,5,3,5,5,2,4,5,3,5,5,3,5,4,2,4,4,2,4,5,2,5,4,2,4,5,2,5,5,2,5,4,3,5,4,2,5,5,2,5,4,3,5,5,2,5,5,3,4,7,2,5,7,2,5,7,3,4,7,2,5,7,3,4,7,3,5,5,3,4,5,3,4,6,3,5,5,3,4,6,3,5,6,3,5,5,4,5,5,3,5,6,3,5,5,4,5,6,3,5,6,4,5,6,3,4,6,3,4,7,3,5,6,3,4,7,3,5,7,3,5,4,5,5,4,4,5,5,4,5,4,5,5,5,4,5,5,5,5,4,6,5,4,5,5,5,5,5,4,6,5,5,5,5,5,6,5,4,7,5,4,6,5,5,6,5,4,7,5,5,6,5,5,7,5,4,8,5,4,7,5,5,7,5,4,8,5,5,7,5,5,8,5,5,8,5,5,7,5,6,7,5,5,8,5,6,7,5,6,8,4,3,9,4,3,10,4,4,10,4,3,9,4,4,10,4,4,9,4,4,9,4,4,10,4,5,10,4,4,9,4,5,10,4,5,9,4,2,10,5,2,10,5,2,11,4,2,10,5,2,11,4,2,11,4,2,10,4,2,11,4,3,11,4,2,10,4,3,11,4,3,10,4,4,10,4,4,11,4,5,11,4,4,10,4,5,11,4,5,10,5,5,19,4,5,19,4,5,18,5,5,19,4,5,18,5,5,18,4,5,18,4,5,19,4,6,19,4,5,18,4,6,19,4,6,18,4,3,22,5,3,22,5,3,23,4,3,22,5,3,23,4,3,23,4,3,22,4,3,23,4,4,23,4,3,22,4,4,23,4,4,22,5,2,23,4,2,23,4,3,23,5,2,23,4,3,23,5,3,23,4,27,31,4,27,32,4,28,32,4,27,31,4,28,32,4,28,31,4,28,32,5,28,32,5,29,32,4,28,32,5,29,32,4,29,32,4,28,31,4,28,32,4,29,32,4,28,31,4,29,32,4,29,31,4,29,32,5,29,32,5,30,32,4,29,32,5,30,32,4,30,32,6,4,0,5,4,0,5,4,1,6,4,0,5,4,1,6,4,1,6,4,1,5,4,1,5,4,2,6,4,1,5,4,2,6,4,2,6,7,2,5,7,2,5,7,1,6,7,2,5,7,1,6,7,1,6,4,2,5,4,2,5,4,3,6,4,2,5,4,3,6,4,3,5,5,4,6,5,4,6,5,3,5,5,4,6,5,3,5,5,3,6,4,3,5,4,3,5,5,3,6,4,3,5,5,3,6,5,3,5,4,4,6,4,4,6,5,4,5,4,4,6,5,4,5,5,4,6,4,4,6,4,3,6,5,3,6,4,4,6,5,3,6,5,4,5,6,3,6,6,3,6,6,4,5,6,3,6,6,4,5,6,4,6,6,3,5,6,3,5,7,3,6,6,3,5,7,3,6,7,3,6,6,4,6,6,3,6,7,3,6,6,4,6,7,3,6,7,4,5,4,5,6,4,5,6,4,4,5,4,5,6,4,4,5,4,4,5,6,4,6,6,4,6,6,5,5,6,4,6,6,5,5,6,5,5,4,6,6,4,6,6,4,5,5,4,6,6,4,5,5,4,5,6,6,6,5,6,6,5,6,5,6,6,6,5,6,5,6,6,5,5,4,7,6,4,7,6,4,6,5,4,7,6,4,6,5,4,6,6,6,7,5,6,7,5,6,6,6,6,7,5,6,6,6,6,6,5,4,8,6,4,8,6,4,7,5,4,8,6,4,7,5,4,7,5,6,7,6,6,7,6,6,8,5,6,7,6,6,8,5,6,8,6,4,8,5,4,8,5,5,8,6,4,8,5,5,8,6,5,8,6,4,9,6,4,8,6,5,8,6,4,9,6,5,8,6,5,9,6,5,8,5,5,8,5,6,8,6,5,8,5,6,8,6,6,8,6,5,9,6,5,8,6,6,8,6,5,9,6,6,8,6,6,9,5,2,19,6,2,19,6,2,20,5,2,19,6,2,20,5,2,20,6,2,19,5,2,19,5,3,19,6,2,19,5,3,19,6,3,19,5,2,19,5,2,20,5,3,20,5,2,19,5,3,20,5,3,19,6,2,21,5,2,21,5,2,20,6,2,21,5,2,20,6,2,20,5,2,20,5,2,21,5,3,21,5,2,20,5,3,21,5,3,20,5,2,21,6,2,21,6,2,22,5,2,21,6,2,22,5,2,22,5,2,21,5,2,22,5,3,22,5,2,21,5,3,22,5,3,21,5,1,30,6,1,30,6,1,31,5,1,30,6,1,31,5,1,31,6,4,1,7,4,1,7,4,0,6,4,1,7,4,0,6,4,0,7,4,1,6,4,1,6,4,2,7,4,1,6,4,2,7,4,2,6,7,1,7,7,1,7,7,2,6,7,1,7,7,2,6,7,2,6,4,3,7,4,3,7,4,2,6,4,3,7,4,2,6,4,2,6,7,2,7,7,2,7,7,3,6,7,2,7,7,3,6,7,3,7,4,3,6,4,3,6,4,4,7,4,3,6,4,4,7,4,4,7,7,4,6,7,4,6,7,3,7,7,4,6,7,3,7,7,3,7,4,4,6,4,4,6,4,5,7,4,4,6,4,5,7,4,5,7,6,5,6,6,5,6,6,4,7,6,5,6,6,4,7,6,4,7,6,4,6,6,4,6,7,4,7,6,4,6,7,4,7,7,4,6,4,6,7,4,6,7,4,5,6,4,6,7,4,5,6,4,5,6,4,7,7,4,7,7,4,6,6,4,7,7,4,6,6,4,6,6,6,6,7,6,6,7,6,7,6,6,6,7,6,7,6,6,7,6,4,8,7,4,8,7,4,7,6,4,8,7,4,7,6,4,7,6,6,7,7,6,7,7,6,8,6,6,7,7,6,8,6,6,8,7,4,8,6,4,8,6,4,9,7,4,8,6,4,9,7,4,9,7,6,9,6,6,9,6,6,8,7,6,9,6,6,8,7,6,8,7,4,9,6,4,9,6,5,9,7,4,9,6,5,9,7,5,9,7,5,9,6,5,9,6,6,9,7,5,9,6,6,9,7,6,9,6,1,22,6,1,23,6,2,23,6,1,22,6,2,23,6,2,22,8,4,0,7,4,0,7,4,1,8,4,0,7,4,1,8,4,1,8,7,1,7,7,1,7,7,0,8,7,1,7,7,0,8,7,0,8,4,1,7,4,1,7,4,2,8,4,1,7,4,2,8,4,2,8,7,2,7,7,2,7,7,1,8,7,2,7,7,1,8,7,1,8,4,2,7,4,2,7,4,3,8,4,2,7,4,3,8,4,3,8,4,3,7,4,3,7,4,4,8,4,3,7,4,4,8,4,4,7,7,3,8,7,3,8,7,4,7,7,3,8,7,4,7,7,4,8,4,4,7,4,4,7,4,5,8,4,4,7,4,5,8,4,5,8,6,5,7,6,5,7,6,4,8,6,5,7,6,4,8,6,4,8,6,4,7,6,4,7,7,4,8,6,4,7,7,4,8,7,4,8,4,5,7,4,5,7,4,6,8,4,5,7,4,6,8,4,6,8,6,6,7,6,6,7,6,5,8,6,6,7,6,5,8,6,5,8,4,6,7,4,6,7,4,7,8,4,6,7,4,7,8,4,7,8,6,7,7,6,7,7,6,6,8,6,7,7,6,6,8,6,6,7,4,8,8,4,8,8,4,7,7,4,8,8,4,7,7,4,7,7,6,7,8,6,7,8,6,8,7,6,7,8,6,8,7,6,8,7,4,9,8,4,9,8,4,8,7,4,9,8,4,8,7,4,8,8,6,9,7,6,9,7,6,8,8,6,9,7,6,8,8,6,8,8,4,9,7,4,9,7,5,9,8,4,9,7,5,9,8,5,9,8,5,9,7,5,9,7,6,9,8,5,9,7,6,9,8,6,9,8,4,1,9,4,1,9,4,0,8,4,1,9,4,0,8,4,0,9,7,1,8,7,1,8,7,0,9,7,1,8,7,0,9,7,0,9,4,1,8,4,1,8,4,2,9,4,1,8,4,2,9,4,2,8,7,1,9,7,1,9,7,2,8,7,1,9,7,2,8,7,2,9,57,2,9,57,1,9,58,1,9,57,2,9,58,1,9,58,2,9,4,2,8,4,2,8,4,3,9,4,2,8,4,3,9,4,3,9,7,3,8,7,3,8,7,2,9,7,3,8,7,2,9,7,2,8,4,4,9,4,4,9,4,3,8,4,4,9,4,3,8,4,3,8,4,5,9,4,5,9,4,4,8,4,5,9,4,4,8,4,4,9,6,5,8,6,5,8,6,4,9,6,5,8,6,4,9,6,4,8,4,6,9,4,6,9,4,5,8,4,6,9,4,5,8,4,5,9,6,6,8,6,6,8,6,5,9,6,6,8,6,5,9,6,5,8,4,7,9,4,7,9,4,6,8,4,7,9,4,6,8,4,6,8,6,6,9,6,6,9,6,7,8,6,6,9,6,7,8,6,7,9,4,7,8,4,7,8,4,8,9,4,7,8,4,8,9,4,8,8,6,7,9,6,7,9,6,8,8,6,7,9,6,8,8,6,8,9,4,8,8,4,8,8,4,9,9,4,8,8,4,9,9,4,9,9,6,9,8,6,9,8,6,8,9,6,9,8,6,8,9,6,8,9,4,9,8,4,9,8,5,9,9,4,9,8,5,9,9,5,9,10,4,0,9,4,0,9,4,1,10,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