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5,2,8,6,2,9,6,2,8,5,2,9,6,2,9,5,2,9,6,3,9,6,3,10,6,2,9,6,3,10,6,2,10,6,2,9,5,2,9,6,2,10,6,2,9,5,2,10,6,2,10,5,3,7,6,2,7,6,2,7,7,3,7,6,2,7,7,3,7,7,3,10,7,2,10,7,2,10,6,3,10,7,2,10,6,3,10,6,2,7,8,3,7,8,3,7,7,2,7,8,3,7,7,2,7,7,2,10,7,3,10,7,3,10,8,2,10,7,3,10,8,2,10,8,3,7,8,2,7,8,2,7,9,3,7,8,2,7,9,3,7,9,2,9,8,3,9,8,3,9,9,2,9,8,3,9,9,2,9,9,3,9,8,2,9,8,2,10,8,3,9,8,2,10,8,3,10,8,2,9,8,2,9,9,2,10,9,2,9,8,2,10,9,2,10,8,3,7,9,2,7,9,2,8,9,3,7,9,2,8,9,3,8,9,3,8,9,2,8,9,2,9,9,3,8,9,2,9,9,3,9,9,2,5,20,3,5,20,3,6,20,2,5,20,3,6,20,2,6,20,2,6,20,3,6,20,3,7,20,2,6,20,3,7,20,2,7,20,2,7,20,3,7,20,3,8,20,2,7,20,3,8,20,2,8,20,3,5,20,2,5,20,2,5,21,3,5,20,2,5,21,3,5,21,3,8,21,2,8,21,2,8,20,3,8,21,2,8,20,3,8,20,3,8,22,2,8,22,2,8,21,3,8,22,2,8,21,3,8,21,2,5,23,3,5,23,3,5,22,2,5,23,3,5,22,2,5,22,2,8,22,3,8,22,3,8,23,2,8,22,3,8,23,2,8,23,3,5,23,2,5,23,2,6,23,3,5,23,2,6,23,3,6,23,3,6,23,2,6,23,2,7,23,3,6,23,2,7,23,3,7,23,3,7,23,2,7,23,2,8,23,3,7,23,2,8,23,3,8,23,3,7,6,4,7,6,4,8,6,3,7,6,4,8,6,3,8,6,3,8,6,4,8,6,4,9,6,3,8,6,4,9,6,3,9,6,4,7,6,3,7,6,3,7,7,4,7,6,3,7,7,4,7,7,3,7,9,4,7,9,4,7,8,3,7,9,4,7,8,3,7,8,4,7,9,3,7,9,3,8,9,4,7,9,3,8,9,4,8,9,4,8,9,3,8,9,3,9,9,4,8,9,3,9,9,4,9,9,3,5,20,4,5,20,4,6,20,3,5,20,4,6,20,3,6,20,3,7,20,4,7,20,4,8,20,3,7,20,4,8,20,3,8,20,3,5,21,4,5,21,4,5,20,3,5,21,4,5,20,3,5,20,4,8,21,3,8,21,3,8,20,4,8,21,3,8,20,4,8,20,4,5,21,3,5,21,3,5,22,4,5,21,3,5,22,4,5,22,3,8,21,4,8,21,4,8,22,3,8,21,4,8,22,3,8,22,4,7,23,3,7,23,3,7,22,4,7,23,3,7,22,4,7,22,4,7,22,3,7,22,3,8,22,4,7,22,3,8,22,4,8,22,4,7,23,4,7,22,4,8,22,4,7,23,4,8,22,4,8,23,3,7,22,3,7,23,3,8,23,3,7,22,3,8,23,3,8,22,4,5,23,3,5,23,3,6,23,4,5,23,3,6,23,4,6,23,4,6,23,3,6,23,3,7,23,4,6,23,3,7,23,4,7,23,4,7,6,5,7,6,5,8,6,4,7,6,5,8,6,4,8,6,4,8,6,5,8,6,5,9,6,4,8,6,5,9,6,4,9,6,4,9,6,5,9,6,5,10,6,4,9,6,5,10,6,4,10,6,5,10,7,4,10,7,4,10,6,5,10,7,4,10,6,5,10,6,4,10,7,5,10,7,5,10,8,4,10,7,5,10,8,4,10,8,4,7,9,5,7,9,5,7,8,4,7,9,5,7,8,4,7,8,5,10,9,4,10,9,4,10,8,5,10,9,4,10,8,5,10,8,5,7,9,4,7,9,4,8,9,5,7,9,4,8,9,5,8,9,5,8,9,4,8,9,4,9,9,5,8,9,4,9,9,5,9,9,5,9,9,4,9,9,4,10,9,5,9,9,4,10,9,5,10,9,4,5,20,5,5,20,5,6,20,4,5,20,5,6,20,4,6,20,4,6,20,5,6,20,5,7,20,4,6,20,5,7,20,4,7,20,4,7,20,5,7,20,5,8,20,4,7,20,5,8,20,4,8,20,4,5,21,5,5,21,5,5,20,4,5,21,5,5,20,4,5,20,5,8,21,4,8,21,4,8,20,5,8,21,4,8,20,5,8,20,4,8,21,5,8,21,5,8,22,4,8,21,5,8,22,4,8,22,4,5,23,5,5,23,5,5,22,4,5,23,5,5,22,4,5,22,5,8,23,4,8,23,4,8,22,5,8,23,4,8,22,5,8,22,5,5,23,4,5,23,4,6,23,5,5,23,4,6,23,5,6,23,5,6,23,4,6,23,4,7,23,5,6,23,4,7,23,5,7,23,5,7,23,4,7,23,4,8,23,5,7,23,4,8,23,5,8,23,6,14,1,6,14,0,6,15,0,6,14,1,6,15,0,6,15,1,6,15,1,6,15,0,6,16,0,6,15,1,6,16,0,6,16,1,6,16,1,6,16,0,6,17,0,6,16,1,6,17,0,6,17,1,6,14,2,6,14,1,6,15,1,6,14,2,6,15,1,6,15,2,6,15,2,6,15,1,6,16,1,6,15,2,6,16,1,6,16,2,6,14,3,6,14,2,6,15,2,6,14,3,6,15,2,6,15,3,6,15,3,6,15,2,6,16,2,6,15,3,6,16,2,6,16,3,6,16,3,6,16,2,6,17,2,6,16,3,6,17,2,6,17,3,6,14,4,6,14,3,6,15,3,6,14,4,6,15,3,6,15,4,6,16,4,6,16,3,6,17,3,6,16,4,6,17,3,6,17,4,6,14,5,6,14,4,6,15,4,6,14,5,6,15,4,6,15,5,6,15,5,6,15,4,6,16,4,6,15,5,6,16,4,6,16,5,6,16,5,6,16,4,6,17,4,6,16,5,6,17,4,6,17,5,5,8,6,6,8,6,6,9,6,5,8,6,6,9,6,5,9,6,5,9,6,6,9,6,6,10,6,5,9,6,6,10,6,5,10,6,6,14,6,6,14,5,6,15,5,6,14,6,6,15,5,6,15,6,6,15,6,6,15,5,6,16,5,6,15,6,6,16,5,6,16,6,6,16,6,6,16,5,6,17,5,6,16,6,6,17,5,6,17,6,6,7,6,5,7,6,5,7,7,6,7,6,5,7,7,6,7,7,6,10,7,5,10,7,5,10,6,6,10,7,5,10,6,6,10,6,6,14,7,6,14,6,6,15,6,6,14,7,6,15,6,6,15,7,6,15,7,6,15,6,6,16,6,6,15,7,6,16,6,6,16,7,5,7,8,6,7,8,6,7,7,5,7,8,6,7,7,5,7,7,5,9,7,6,9,7,6,9,8,5,9,7,6,9,8,5,9,8,6,9,7,5,9,7,5,10,7,6,9,7,5,10,7,6,10,7,5,9,8,6,9,8,6,10,8,5,9,8,6,10,8,5,10,8,5,9,7,5,9,8,5,10,8,5,9,7,5,10,8,5,10,7,6,9,8,6,9,7,6,10,7,6,9,8,6,10,7,6,10,8,6,14,8,6,14,7,6,15,7,6,14,8,6,15,7,6,15,8,6,15,8,6,15,7,6,16,7,6,15,8,6,16,7,6,16,8,6,16,8,6,16,7,6,17,7,6,16,8,6,17,7,6,17,8,6,10,9,5,10,9,5,10,8,6,10,9,5,10,8,6,10,8,6,14,9,6,14,8,6,15,8,6,14,9,6,15,8,6,15,9,6,15,9,6,15,8,6,16,8,6,15,9,6,16,8,6,16,9,6,16,9,6,16,8,6,17,8,6,16,9,6,17,8,6,17,9,6,7,9,5,7,9,5,8,9,6,7,9,5,8,9,6,8,9,6,8,9,5,8,9,5,9,9,6,8,9,5,9,9,6,9,9,6,9,9,5,9,9,5,10,9,6,9,9,5,10,9,6,10,9,5,5,20,6,5,20,6,6,20,5,5,20,6,6,20,5,6,20,5,7,20,6,7,20,6,8,20,5,7,20,6,8,20,5,8,20,6,8,21,5,8,21,5,8,20,6,8,21,5,8,20,6,8,20,6,8,22,5,8,22,5,8,21,6,8,22,5,8,21,6,8,21,5,5,23,6,5,23,6,5,22,5,5,23,6,5,22,5,5,22,5,8,22,6,8,22,6,8,23,5,8,22,6,8,23,5,8,23,6,5,23,5,5,23,5,6,23,6,5,23,5,6,23,6,6,23,6,7,23,5,7,23,5,8,23,6,7,23,5,8,23,6,8,23,6,14,1,7,14,1,7,14,0,6,14,1,7,14,0,6,14,0,7,17,1,6,17,1,6,17,0,7,17,1,6,17,0,7,17,0,6,14,2,7,14,2,7,14,1,6,14,2,7,14,1,6,14,1,6,14,3,7,14,3,7,14,2,6,14,3,7,14,2,6,14,2,7,17,3,6,17,3,6,17,2,7,17,3,6,17,2,7,17,2,6,14,4,7,14,4,7,14,3,6,14,4,7,14,3,6,14,3,7,17,4,6,17,4,6,17,3,7,17,4,6,17,3,7,17,3,6,14,5,7,14,5,7,14,4,6,14,5,7,14,4,6,14,4,7,17,5,6,17,5,6,17,4,7,17,5,6,17,4,7,17,4,6,7,6,7,7,6,7,8,6,6,7,6,7,8,6,6,8,6,6,8,6,7,8,6,7,9,6,6,8,6,7,9,6,6,9,6,6,9,6,7,9,6,7,10,6,6,9,6,7,10,6,6,10,6,6,14,6,7,14,6,7,14,5,6,14,6,7,14,5,6,14,5,6,17,5,7,17,5,7,17,6,6,17,5,7,17,6,6,17,6,7,10,7,6,10,7,6,10,6,7,10,7,6,10,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