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2,2,4,22,3,5,22,2,4,22,3,5,22,3,4,23,2,5,23,2,5,23,3,4,23,2,5,23,3,4,23,3,5,23,2,4,23,2,4,24,2,5,23,2,4,24,2,5,24,2,5,25,2,4,25,2,4,25,3,5,25,2,4,25,3,5,25,3,4,24,3,5,24,3,5,25,3,4,24,3,5,25,3,4,25,3,4,24,2,4,24,3,4,25,3,4,24,2,4,25,3,4,25,2,5,26,3,4,26,3,4,26,2,5,26,3,4,26,2,5,26,2,4,23,3,5,23,3,5,23,4,4,23,3,5,23,4,4,23,4,4,24,4,5,24,4,5,24,3,4,24,4,5,24,3,4,24,3,5,25,4,4,25,4,4,25,3,5,25,4,4,25,3,5,25,3,5,25,3,4,25,3,4,26,3,5,25,3,4,26,3,5,26,3,4,23,4,5,23,4,5,23,5,4,23,4,5,23,5,4,23,5,4,24,5,5,24,5,5,24,4,4,24,5,5,24,4,4,24,4,5,25,5,4,25,5,4,25,4,5,25,5,4,25,4,5,25,4,5,22,5,4,22,5,4,23,5,5,22,5,4,23,5,5,23,5,4,24,6,5,24,6,5,24,5,4,24,6,5,24,5,4,24,5,4,25,5,5,25,5,5,25,6,4,25,5,5,25,6,4,25,6,4,21,7,5,21,7,5,22,7,4,21,7,5,22,7,4,22,7,5,21,7,5,21,6,5,22,6,5,21,7,5,22,6,5,22,7,4,23,7,5,23,7,5,24,7,4,23,7,5,24,7,4,24,7,5,24,6,4,24,6,4,25,6,5,24,6,4,25,6,5,25,6,5,24,7,5,24,6,5,25,6,5,24,7,5,25,6,5,25,7,4,6,8,5,6,8,5,7,8,4,6,8,5,7,8,4,7,8,4,7,8,5,7,8,5,8,8,4,7,8,5,8,8,4,8,8,5,22,8,4,22,8,4,22,7,5,22,8,4,22,7,5,22,7,5,23,7,4,23,7,4,23,8,5,23,7,4,23,8,5,23,8,5,8,9,4,8,9,4,8,8,5,8,9,4,8,8,5,8,8,5,22,9,4,22,9,4,22,8,5,22,9,4,22,8,5,22,8,5,23,8,4,23,8,4,23,9,5,23,8,4,23,9,5,23,9,5,22,9,5,22,8,5,23,8,5,22,9,5,23,8,5,23,9,4,24,8,5,24,8,5,24,9,4,24,8,5,24,9,4,24,9,5,6,9,4,6,9,4,6,10,5,6,9,4,6,10,5,6,10,4,8,9,5,8,9,5,8,10,4,8,9,5,8,10,4,8,10,4,8,10,5,8,10,5,9,10,4,8,10,5,9,10,4,9,10,4,21,9,5,21,9,5,21,10,4,21,9,5,21,10,4,21,10,5,21,9,4,21,9,4,22,9,5,21,9,4,22,9,5,22,9,4,21,10,5,21,10,5,22,10,4,21,10,5,22,10,4,22,10,5,21,10,5,21,9,5,22,9,5,21,10,5,22,9,5,22,10,5,22,10,5,22,9,5,23,9,5,22,10,5,23,9,5,23,10,5,23,9,4,23,9,4,24,9,5,23,9,4,24,9,5,24,9,4,6,11,5,6,11,5,6,10,4,6,11,5,6,10,4,6,10,4,22,10,5,22,10,5,22,11,4,22,10,5,22,11,4,22,11,5,22,11,5,22,10,5,23,10,5,22,11,5,23,10,5,23,11,4,6,12,5,6,12,5,6,11,4,6,12,5,6,11,4,6,11,5,8,14,4,8,14,4,8,15,5,8,14,4,8,15,5,8,15,5,7,14,4,7,14,4,8,14,5,7,14,4,8,14,5,8,14,5,8,15,4,8,15,4,8,16,5,8,15,4,8,16,5,8,16,4,9,15,5,9,15,5,9,16,4,9,15,5,9,16,4,9,16,4,9,15,4,9,16,4,10,16,4,9,15,4,10,16,4,10,15,5,19,15,4,19,15,4,20,15,5,19,15,4,20,15,5,20,15,4,19,15,4,19,16,4,20,16,4,19,15,4,20,16,4,20,15,5,8,16,4,8,16,4,9,16,5,8,16,4,9,16,5,9,16,6,5,1,5,5,1,5,5,2,6,5,1,5,5,2,6,5,2,5,22,1,5,22,2,5,23,2,5,22,1,5,23,2,5,23,1,5,23,1,5,23,2,5,24,2,5,23,1,5,24,2,5,24,1,6,5,2,5,5,2,5,6,2,6,5,2,5,6,2,6,6,2,6,5,3,6,5,2,6,6,2,6,5,3,6,6,2,6,6,3,5,22,2,5,22,3,5,23,3,5,22,2,5,23,3,5,23,2,5,25,2,5,25,3,5,26,3,5,25,2,5,26,3,5,26,2,5,22,3,5,22,4,5,23,4,5,22,3,5,23,4,5,23,3,5,24,4,6,24,4,6,25,4,5,24,4,6,25,4,5,25,4,5,24,3,5,24,4,5,25,4,5,24,3,5,25,4,5,25,3,6,22,5,6,22,4,6,23,4,6,22,5,6,23,4,6,23,5,5,22,4,5,22,5,5,23,5,5,22,4,5,23,5,5,23,4,5,24,5,6,24,5,6,24,4,5,24,5,6,24,4,5,24,4,5,25,4,6,25,4,6,25,5,5,25,4,6,25,5,5,25,5,5,21,6,6,21,6,6,22,6,5,21,6,6,22,6,5,22,6,6,22,6,6,22,5,6,23,5,6,22,6,6,23,5,6,23,6,6,24,5,5,24,5,5,24,6,6,24,5,5,24,6,6,24,6,6,25,6,5,25,6,5,25,5,6,25,6,5,25,5,6,25,5,6,22,7,5,22,7,5,22,6,6,22,7,5,22,6,6,22,6,6,22,7,6,22,6,6,23,6,6,22,7,6,23,6,6,23,7,6,24,6,5,24,6,5,24,7,6,24,6,5,24,7,6,24,7,6,25,7,5,25,7,5,25,6,6,25,7,5,25,6,6,25,6,5,6,8,6,6,8,6,7,8,5,6,8,6,7,8,5,7,8,5,7,8,6,7,8,6,8,8,5,7,8,6,8,8,5,8,8,6,22,8,5,22,8,5,22,7,6,22,8,5,22,7,6,22,7,5,22,8,6,22,8,6,23,8,5,22,8,6,23,8,5,23,8,6,22,8,6,22,7,6,23,7,6,22,8,6,23,7,6,23,8,6,24,7,5,24,7,5,24,8,6,24,7,5,24,8,6,24,8,5,23,7,5,23,8,5,24,8,5,23,7,5,24,8,5,24,7,5,25,7,6,25,7,6,25,8,5,25,7,6,25,8,5,25,8,6,6,8,5,6,8,5,6,9,6,6,8,5,6,9,6,6,9,6,8,9,5,8,9,5,8,8,6,8,9,5,8,8,6,8,8,5,23,8,6,23,8,6,23,9,5,23,8,6,23,9,5,23,9,5,23,8,5,23,9,5,24,9,5,23,8,5,24,9,5,24,8,6,24,8,5,24,8,5,25,8,6,24,8,5,25,8,6,25,8,6,6,9,5,6,9,5,6,10,6,6,9,5,6,10,6,6,10,5,8,9,6,8,9,6,8,10,5,8,9,6,8,10,5,8,10,5,8,10,6,8,10,6,9,10,5,8,10,6,9,10,5,9,10,5,23,9,6,23,9,6,23,10,5,23,9,6,23,10,5,23,10,5,23,10,6,23,10,6,23,11,5,23,10,6,23,11,5,23,11,5,23,11,6,23,11,6,23,12,5,23,11,6,23,12,5,23,12,5,7,13,6,7,13,6,7,12,5,7,13,6,7,12,5,7,12,6,6,12,5,6,12,5,7,12,6,6,12,5,7,12,6,7,12,5,8,15,6,8,15,6,8,14,5,8,15,6,8,14,5,8,14,6,7,14,5,7,14,5,8,14,6,7,14,5,8,14,6,8,14,5,9,14,6,9,14,6,9,15,5,9,14,6,9,15,5,9,15,5,19,14,5,19,15,5,20,15,5,19,14,5,20,15,5,20,14,5,8,16,6,8,16,6,8,15,5,8,16,6,8,15,5,8,15,5,9,15,6,9,15,6,9,16,5,9,15,6,9,16,5,9,16,6,8,16,5,8,16,5,9,16,6,8,16,5,9,16,6,9,16,7,6,1,6,6,1,6,6,0,7,6,1,6,6,0,7,6,0,7,6,2,6,6,2,6,6,1,7,6,2,6,6,1,7,6,1,7,5,2,6,5,2,6,5,3,7,5,2,6,5,3,7,5,3,6,6,2,7,6,2,7,6,3,6,6,2,7,6,3,6,6,3,6,22,4,7,22,4,7,23,4,6,22,4,7,23,4,6,23,4,6,24,4,6,24,5,6,25,5,6,24,4,6,25,5,6,25,4,6,6,8,7,6,8,7,7,8,6,6,8,7,7,8,6,7,8,6,24,7,6,24,8,6,25,8,6,24,7,6,25,8,6,25,7,7,7,9,6,7,9,6,7,8,7,7,9,6,7,8,7,7,8,6,7,9,7,7,9,7,8,9,6,7,9,7,8,9,6,8,9,6,7,8,6,7,9,6,8,9,6,7,8,6,8,9,6,8,8,6,6,10,7,6,10,7,6,9,6,6,10,7,6,9,6,6,9,6,8,9,7,8,9,7,8,10,6,8,9,7,8,10,6,8,10,6,8,10,7,8,10,7,9,10,6,8,10,7,9,10,6,9,10,6,9,10,7,9,10,7,9,11,6,9,10,7,9,11,6,9,11,6,19,11,6,19,12,6,20,12,6,19,11,6,20,12,6,20,11,7,20,11,6,20,11,6,21,11,7,20,11,6,21,11,7,21,11,6,20,11,6,20,12,6,21,12,6,20,11,6,21,12,6,21,11,7,21,11,6,21,11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