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