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5,0,5,4,1,5,5,0,5,4,1,5,4,1,5,5,1,5,4,1,6,4,1,5,5,1,6,4,1,6,5,0,3,20,1,3,20,1,4,20,0,3,20,1,4,20,0,4,20,1,3,20,1,3,19,1,4,19,1,3,20,1,4,19,1,4,20,1,4,3,2,4,3,2,5,3,1,4,3,2,5,3,1,5,3,1,5,3,2,5,3,2,6,3,1,5,3,2,6,3,1,6,3,1,3,4,2,3,4,2,3,3,1,3,4,2,3,3,1,3,3,1,2,4,2,2,4,2,3,4,1,2,4,2,3,4,1,3,4,1,2,3,1,2,4,1,3,4,1,2,3,1,3,4,1,3,3,2,6,4,1,6,4,1,6,3,2,6,4,1,6,3,2,6,3,2,6,4,2,6,3,2,7,3,2,6,4,2,7,3,2,7,4,2,6,5,1,6,5,1,6,4,2,6,5,1,6,4,2,6,4,2,6,5,2,6,4,2,7,4,2,6,5,2,7,4,2,7,5,2,3,6,1,3,6,1,4,6,2,3,6,1,4,6,2,4,6,1,3,19,2,3,19,2,4,19,1,3,19,2,4,19,1,4,19,2,3,19,2,3,18,2,4,18,2,3,19,2,4,18,2,4,19,2,3,3,3,3,3,3,4,3,2,3,3,3,4,3,2,4,3,2,6,3,3,6,3,3,7,3,2,6,3,3,7,3,2,7,3,3,7,5,2,7,5,2,7,4,3,7,5,2,7,4,3,7,4,3,7,5,3,7,4,3,8,4,3,7,5,3,8,4,3,8,5,2,6,5,3,6,5,3,6,6,2,6,5,3,6,6,2,6,6,3,6,5,2,6,5,2,7,5,3,6,5,2,7,5,3,7,5,3,6,6,3,6,5,3,7,5,3,6,6,3,7,5,3,7,6,3,2,15,3,2,14,3,3,14,3,2,15,3,3,14,3,3,15,3,2,16,3,2,15,3,3,15,3,2,16,3,3,15,3,3,16,3,3,16,3,3,15,3,4,15,3,3,16,3,4,15,3,4,16,2,2,17,3,2,17,3,3,17,2,2,17,3,3,17,2,3,17,3,2,17,3,2,16,3,3,16,3,2,17,3,3,16,3,3,17,3,3,25,2,3,25,2,4,25,3,3,25,2,4,25,3,4,25,3,5,3,4,5,3,4,6,3,3,5,3,4,6,3,3,6,3,3,6,3,4,6,3,4,7,3,3,6,3,4,7,3,3,7,3,4,7,4,3,7,4,3,7,3,4,7,4,3,7,3,4,7,3,3,7,4,4,7,4,4,8,4,3,7,4,4,8,4,3,8,4,4,7,4,4,7,3,4,8,3,4,7,4,4,8,3,4,8,4,3,8,4,4,8,4,4,8,5,3,8,4,4,8,5,3,8,5,4,8,5,4,8,4,4,9,4,4,8,5,4,9,4,4,9,5,4,8,6,3,8,6,3,8,5,4,8,6,3,8,5,4,8,5,4,8,6,4,8,5,4,9,5,4,8,6,4,9,5,4,9,6,4,7,6,3,7,6,3,8,6,4,7,6,3,8,6,4,8,6,4,7,7,4,7,6,4,8,6,4,7,7,4,8,6,4,8,7,4,8,7,4,8,6,4,9,6,4,8,7,4,9,6,4,9,7,4,8,8,4,8,7,4,9,7,4,8,8,4,9,7,4,9,8,4,4,13,4,4,12,4,5,12,4,4,13,4,5,12,4,5,13,3,3,14,4,3,14,4,4,14,3,3,14,4,4,14,3,4,14,4,3,14,4,3,13,4,4,13,4,3,14,4,4,13,4,4,14,3,4,14,4,4,14,4,5,14,3,4,14,4,5,14,3,5,14,4,4,14,4,4,13,4,5,13,4,4,14,4,5,13,4,5,14,4,11,2,5,11,2,5,12,2,4,11,2,5,12,2,4,12,2,4,5,3,5,5,3,5,6,3,4,5,3,5,6,3,4,6,3,4,6,3,5,6,3,5,7,3,4,6,3,5,7,3,4,7,3,4,7,3,5,7,3,5,8,3,4,7,3,5,8,3,4,8,3,4,5,4,5,5,4,5,5,3,4,5,4,5,5,3,4,5,3,4,4,4,5,4,4,5,5,4,4,4,4,5,5,4,4,5,4,4,4,3,4,4,4,4,5,4,4,4,3,4,5,4,4,5,3,5,8,4,4,8,4,4,8,3,5,8,4,4,8,3,5,8,3,4,8,4,5,8,4,5,9,4,4,8,4,5,9,4,4,9,4,4,4,5,5,4,5,5,4,4,4,4,5,5,4,4,4,4,4,4,9,4,5,9,4,5,9,5,4,9,4,5,9,5,4,9,5,4,9,5,5,9,5,5,10,5,4,9,5,5,10,5,4,10,5,4,5,6,5,5,6,5,5,5,4,5,6,5,5,5,4,5,5,5,4,5,4,4,5,4,5,5,5,4,5,4,5,5,5,5,5,4,8,8,5,8,8,5,8,7,4,8,8,5,8,7,4,8,7,5,7,7,4,7,7,4,8,7,5,7,7,4,8,7,5,8,7,5,7,8,5,7,7,5,8,7,5,7,8,5,8,7,5,8,8,5,7,9,5,7,8,5,8,8,5,7,9,5,8,8,5,8,9,5,4,10,5,4,9,5,5,9,5,4,10,5,5,9,5,5,10,5,7,10,5,7,9,5,8,9,5,7,10,5,8,9,5,8,10,5,2,11,5,2,10,5,3,10,5,2,11,5,3,10,5,3,11,4,3,12,5,3,12,5,4,12,4,3,12,5,4,12,4,4,12,5,3,12,5,3,11,5,4,11,5,3,12,5,4,11,5,4,12,5,5,12,5,5,11,5,6,11,5,5,12,5,6,11,5,6,12,5,5,13,4,5,13,4,5,12,5,5,13,4,5,12,5,5,12,4,5,13,5,5,13,5,6,13,4,5,13,5,6,13,4,6,13,5,5,13,5,5,12,5,6,12,5,5,13,5,6,12,5,6,13,5,13,1,6,13,1,6,14,1,5,13,1,6,14,1,5,14,1,5,6,3,6,6,3,6,7,3,5,6,3,6,7,3,5,7,3,5,6,4,6,6,4,6,6,3,5,6,4,6,6,3,5,6,3,5,5,4,6,5,4,6,6,4,5,5,4,6,6,4,5,6,4,5,5,3,5,5,4,5,6,4,5,5,3,5,6,4,5,6,3,6,7,4,5,7,4,5,7,3,6,7,4,5,7,3,6,7,3,5,7,4,6,7,4,6,8,4,5,7,4,6,8,4,5,8,4,5,7,3,5,7,4,5,8,4,5,7,3,5,8,4,5,8,3,5,8,4,6,8,4,6,9,4,5,8,4,6,9,4,5,9,4,6,9,5,5,9,5,5,9,4,6,9,5,5,9,4,6,9,4,5,9,5,6,9,5,6,10,5,5,9,5,6,10,5,5,10,5,5,6,6,6,6,6,6,6,5,5,6,6,6,6,5,5,6,5,6,5,5,5,5,5,5,6,5,6,5,5,5,6,5,6,6,5,5,5,5,5,5,6,5,6,6,5,5,5,5,6,6,5,6,5,6,3,8,6,3,7,6,4,7,6,3,8,6,4,7,6,4,8,5,3,9,6,3,9,6,4,9,5,3,9,6,4,9,5,4,9,5,4,9,6,4,9,6,5,9,5,4,9,6,5,9,5,5,9,6,4,9,6,4,8,6,5,8,6,4,9,6,5,8,6,5,9,6,5,10,5,5,10,5,5,9,6,5,10,5,5,9,6,5,9,5,5,10,6,5,10,6,6,10,5,5,10,6,6,10,5,6,10,6,5,10,6,5,9,6,6,9,6,5,10,6,6,9,6,6,10,5,7,10,6,7,10,6,7,9,5,7,10,6,7,9,5,7,9,5,6,10,6,6,10,6,7,10,5,6,10,6,7,10,5,7,10,6,6,10,6,6,9,6,7,9,6,6,10,6,7,9,6,7,10,6,14,1,7,14,1,7,15,1,6,14,1,7,15,1,6,15,1,6,6,3,6,6,4,6,7,4,6,6,3,6,7,4,6,7,3,6,6,5,7,6,5,7,7,5,6,6,5,7,7,5,6,7,5,6,6,4,6,6,5,6,7,5,6,6,4,6,7,5,6,7,4,6,7,5,7,7,5,7,8,5,6,7,5,7,8,5,6,8,5,6,7,4,6,7,5,6,8,5,6,7,4,6,8,5,6,8,4,6,8,5,7,8,5,7,9,5,6,8,5,7,9,5,6,9,5,6,8,4,6,8,5,6,9,5,6,8,4,6,9,5,6,9,4,6,9,5,7,9,5,7,10,5,6,9,5,7,10,5,6,10,5,7,4,6,7,4,5,7,5,5,7,4,6,7,5,5,7,5,6,7,6,5,6,6,5,6,6,6,7,6,5,6,6,6,7,6,6,7,5,6,7,5,5,7,6,5,7,5,6,7,6,5,7,6,6,7,10,6,6,10,6,6,10,5,7,10,6,6,10,5,7,10,5,6,10,6,7,10,6,7,11,6,6,10,6,7,11,6,6,11,6,6,2,7,7,2,7,7,2,6,6,2,7,7,2,6,6,2,6,6,4,7,7,4,7,7,5,7,6,4,7,7,5,7,6,5,7,7,4,7,7,4,6,7,5,6,7,4,7,7,5,6,7,5,7,6,5,7,7,5,7,7,6,7,6,5,7,7,6,7,6,6,7,7,5,7,7,5,6,7,6,6,7,5,7,7,6,6,7,6,7,6,7,7,7,7,7,7,7,6,6,7,7,7,7,6,6,7,6,7,6,6,6,6,6,6,7,6,7,6,6,6,7,6,7,7,6,6,6,7,7,6,7,7,7,7,6,6,7,7,7,7,6,7,7,6,6,6,6,6,7,6,7,7,6,6,6,6,7,7,6,7,6,7,6,7,7,6,6,7,7,6,7,6,7,7,7,6,7,7,7,7,1,8,6,1,8,6,1,7,7,1,8,6,1,7,7,1,7,7,1,8,7,1,7,7,2,7,7,1,8,7,2,7,7,2,8,7,4,9,6,4,9,6,4,10,7,4,9,6,4,10,7,4,10,6,3,10,7,3,10,7,4,10,6,3,10,7,4,10,6,4,10,6,3,9,6,3,10,6,4,10,6,3,9,6,4,10,6,4,9,7,1,22,6,1,22,6,2,22,7,1,22,6,2,22,7,2,22,6,1,22,6,1,23,6,2,23,6,1,22,6,2,23,6,2,22,7,3,22,6,3,22,6,4,22,7,3,22,6,4,22,7,4,22,6,3,22,6,3,23,6,4,23,6,3,22,6,4,23,6,4,22,7,15,1,8,15,1,8,16,1,7,15,1,8,16,1,7,16,1,7,13,2,8,13,2,8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