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