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6,9,7,5,7,6,6,6,4,4,3,8,8,3,11,1,10,7,9,0,6,4,2,3,3,5,3,5,5,7,3,5,8,2,1,7,3,5,5,5,6,4,4,4,5,6,13,11,5,8,9,8,11,6,7,7,10,7,7,3,7,6,5,4,6,4,6,7,2,5,3,3,2,2,2,2,5,2,8,2,3,7,8,1,4,4,5,3,4,7,5,6,2,7,5,5,3,8,5,6,7,6,5,6,5,7,5,10,6,7,6,9,11,9,7,8,7,8,4,14,6,6,5,4,3,2,7,3,5,2,0,3,2,8,4,6,2,6,6,5,8,6,5,8,13,4,5,5,3,6,10,2,4,4,3,3,7,8,8,6,3,8,2,2,6,12,9,8,10,10,11,7,2,6,3,7,4,3,5,3,2,2,1,1,1,6,3,4,2,2,2,4,5,5,1,5,4,2,6,7,7,3,8,5,5,7,5,11,6,8,9,8,8,4,7,11,9,5,6,7,7,6,11,5,5,2,5,3,2,7,5,6,4,3,4,1,8,5,8,5,8,9,11,6,3,7,6,6,10,6,3,8,11,2,6,4,8,6,7,14,8,8,8,8,10,7,5,12,13,12,4,9,8,9,3,3,4,2,4,0,3,3,1,3,2,6,3,1,5,3,3,2,6,4,4,4,2,1,1,8,7,7,2,2,6,13,8,3,12,6,6,10,11,7,10,10,8,10,9,7,6,6,7,6,5,3,3,1,5,3,7,5,4,1,5,6,4,5,4,3,9,6,9,7,1,5,4,5,8,7,9,7,5,6,7,6,5,5,6,5,3,7,11,7,12,8,6,10,6,4,8,7,7,6,11,9,4,3,6,1,0,1,2,3,2,4,3,5,1,4,2,0,3,1,1,3,4,3,2,4,6,8,3,2,8,3,7,2,3,3,6,8,4,0,6,8,8,11,12,7,7,10,11,9,3,8,16,2,0,1,3,0,4,4,5,0,6,2,2,3,3,0,3,4,2,5,6,4,9,8,13,5,5,7,8,9,7,7,7,4,5,13,5,2,9,10,7,10,9,7,10,7,5,4,9,15,7,6,3,2,1,4,6,2,4,4,3,6,2,5,3,4,2,0,1,5,2,3,6,6,8,5,6,4,2,10,5,6,2,3,5,6,6,2,3,9,1,10,3,6,12,5,8,7,7,9,11,7,2,2,1,3,4,3,3,1,8,10,5,5,6,2,0,3,3,2,5,5,4,6,6,8,3,6,7,6,9,2,4,9,11,3,10,11,3,6,8,2,8,10,5,12,10,8,7,5,5,8,9,9,1,2,4,1,0,2,6,1,1,0,1,1,1,3,5,5,1,3,3,6,1,5,5,2,4,2,3,2,3,7,3,6,6,7,8,6,3,6,2,6,8,7,4,6,8,12,10,13,6,2,7,4,0,1,2,2,9,0,5,2,3,6,0,4,8,3,3,3,7,5,5,9,6,7,3,5,9,5,10,3,12,4,10,6,4,8,5,5,9,4,6,11,11,8,8,12,17,13,13,9,12,16,1,4,1,2,2,1,0,0,2,3,2,2,2,3,0,3,2,6,1,1,4,5,4,0,2,3,3,1,2,4,1,7,4,8,4,5,2,6,2,6,3,8,3,9,8,9,11,5,6,7,10,2,4,1,2,2,2,4,1,3,1,5,1,1,2,4,2,5,6,2,5,5,7,7,6,2,4,4,11,6,6,2,7,13,5,3,5,10,8,9,7,2,12,13,10,5,6,8,9,9,9,10,1,3,0,1,0,0,1,2,2,2,1,0,1,1,0,2,1,1,1,5,1,2,2,3,3,1,2,0,2,3,5,6,3,5,1,5,4,2,5,7,5,5,8,6,8,13,9,8,7,7,7,2,3,1,1,1,2,1,1,1,3,0,2,3,4,3,2,5,3,3,4,4,4,5,6,6,6,2,5,9,9,9,7,8,4,7,6,11,8,6,6,8,6,13,9,11,15,7,7,10,6,13,0,2,0,1,1,0,1,3,1,1,1,3,3,0,0,0,0,2,1,2,2,2,1,4,2,1,2,2,2,4,1,3,3,4,5,3,3,2,4,7,5,2,2,2,10,6,4,5,8,7,3,1,2,1,0,1,1,3,2,1,3,3,2,2,1,3,1,0,3,2,2,6,2,6,4,1,5,5,5,4,11,6,12,6,7,7,6,6,6,6,4,8,4,9,9,6,10,14,12,11,10,11,0,0,0,0,0,1,0,2,1,3,0,1,0,3,2,1,0,0,2,1,3,2,3,2,1,2,0,3,2,2,1,2,2,4,1,4,5,3,4,6,2,2,3,5,3,4,2,8,6,6,4,0,0,1,2,1,1,1,0,1,3,1,3,1,3,4,2,1,5,4,2,4,3,3,7,5,7,5,2,8,6,6,8,4,8,7,3,9,7,4,6,9,3,12,9,9,9,10,8,18,13,8,0,0,0,0,1,2,2,0,0,0,1,3,2,0,1,2,0,0,0,3,0,1,1,1,1,1,1,1,3,2,4,2,1,1,3,3,3,2,2,1,2,5,4,6,5,7,6,5,8,10,8,1,0,2,0,1,0,1,0,4,1,2,1,1,2,2,9,1,3,1,3,4,2,2,3,2,6,4,5,1,7,5,3,4,2,3,6,3,3,9,7,7,4,7,6,10,10,8,5,16,18,12,1,0,0,1,0,0,1,0,0,1,2,0,1,0,1,0,1,2,0,1,0,2,1,0,0,2,0,1,0,1,1,1,2,3,0,3,2,3,1,4,6,1,1,3,5,2,6,3,2,3,1,0,0,2,1,0,3,2,1,2,0,0,2,1,0,4,3,4,1,2,2,4,3,1,0,4,4,3,2,2,6,3,3,3,4,6,3,4,5,7,12,2,6,6,7,5,5,10,4,11,9,12,0,0,0,1,0,0,0,0,2,0,1,1,0,1,1,0,0,2,0,0,1,0,0,1,0,0,0,2,2,1,2,2,3,0,0,1,3,4,0,1,3,0,1,0,3,1,1,6,3,6,4,1,1,0,0,0,0,0,0,0,0,2,0,1,2,0,0,1,0,0,1,2,1,1,2,5,5,3,5,2,0,3,2,0,1,6,4,4,9,5,5,6,3,2,4,7,5,7,6,9,7,14,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,2,0,4,0,2,2,2,0,2,2,2,1,1,2,1,2,2,5,1,5,0,3,2,2,1,0,0,0,0,0,0,0,1,0,0,2,0,1,3,1,2,2,0,2,3,1,3,1,3,3,3,3,3,0,2,3,2,7,8,1,1,2,2,5,2,1,7,3,8,5,3,2,6,12,8,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,2,1,1,0,0,0,1,0,0,0,1,1,0,0,2,0,0,1,3,0,2,0,2,1,0,2,1,1,1,2,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,2,1,3,0,0,0,1,1,1,2,3,2,2,0,2,3,3,2,3,2,6,0,4,2,7,4,4,5,9,4,5,2,6,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0,1,3,0,1,1,1,0,0,2,1,2,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,1,1,2,3,1,2,2,4,2,2,0,1,2,2,2,2,2,3,4,5,3,1,5,1,3,2,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,3,0,2,0,1,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,2,0,0,1,0,1,0,0,0,0,2,0,0,0,2,0,1,2,3,2,0,3,1,1,2,1,3,3,2,4,2,4,1,3,3,5,6,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,0,2,1,1,1,0,2,0,2,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,1,1,1,2,0,0,3,0,2,1,3,2,0,2,2,3,0,1,4,2,5,4,6,7,6,6,4,4,6,9,5,8,9,127,138,138,123,120,118,124,159,157,151,148,181,143,140,140,185,128,135,157,165,159,175,148,162,162,184,175,179,167,173,167,182,167,195,175,184,175,189,176,192,190,198,198,188,226,188,200,231,204,219,234,102,93,91,106,94,110,99,111,115,108,128,104,111,122,117,133,127,165,146,156,165,147,166,169,156,177,151,175,167,206,157,186,163,187,176,157,203,206,186,194,204,178,224,194,233,237,214,210,253,245,279,45,49,47,54,41,41,25,39,33,25,30,28,29,26,31,22,32,30,21,24,23,31,23,19,22,28,30,23,23,10,19,16,23,20,12,14,13,13,19,8,17,13,15,8,17,19,10,13,15,17,12,40,26,21,27,25,23,15,17,20,24,14,23,11,28,19,16,21,20,18,22,15,20,25,18,18,20,17,16,12,7,10,11,11,3,13,14,11,19,16,11,11,9,13,10,8,13,6,14,9,18,10,7,6,3,0,3,0,2,3,3,5,1,10,5,5,5,3,3,8,3,5,6,5,5,6,4,1,7,4,4,4,3,1,2,3,4,1,2,3,2,1,4,5,2,5,2,5,1,2,0,1,2,3,0,2,3,2,3,9,2,3,2,3,5,5,0,2,6,3,4,2,2,1,1,9,7,3,3,0,4,6,3,5,2,1,3,3,1,3,1,3,2,1,2,1,4,2,4,1,1,2,3,1,4,4,2,0,1,4,1,1,1,2,0,4,2,0,1,1,0,2,1,1,2,1,1,1,0,0,0,0,5,1,2,0,0,1,0,0,0,2,1,1,0,3,1,2,0,0,3,0,1,0,1,2,1,1,0,0,2,1,1,1,0,3,0,1,1,3,0,0,1,1,3,0,0,0,2,1,2,1,1,1,1,0,3,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