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