6,11,2,2,3,0,3,1,4,6,1,1,2,3,5,3,2,4,5
6,8,1,2,0,2,1,4,1,1,1,3,3,2,4,5
100,148,0,1,1,1,2,1,1,2,1,2,1,1,2,1,3,1,4,2,1,4,1,3,1,1,2,3,5,3,3,6,7,2,1,3,1,8,1,9,1,8,1,4,1,10,2,11,10,2,1,4,1,12,1,10,2,4,13,2,14,15,1,3,3,3,4,16,1,3,1,8,1,17,1,12,2,3,17,1,1,1,3,1,1,1,1,1,8,1,18,2,3,10,2,1,19,2,3,4,3,5,20,12,1,14,3,3,12,21,1,14,1,8,1,22,1,1,2,2,4,2,10,17,1,7,1,23,1,8,2,3,23,1,4,1,19,2,3,24,1,8,3,2,5,8,2,13,25,2,19,25,3,6,17,26,1,25,2,3,27,1,28,1,6,2,1,29,2,1,9,2,3,15,3,3,19,30,1,23,1,19,1,19,2,31,32,2,3,22,1,4,1,9,1,1,1,33,1,3,1,4,1,22,1,4,3,4,22,21,2,34,35,3,3,19,17,1,4,1,4,1,4,1,19,2,3,7,1,36,1,3,2,2,37,2,38,39,1,4,1,25,1,10,1,18,3,13,22,40
500,773,0,1,1,1,1,1,2,2,1,3,1,3,2,2,3,1,1,1,3,2,2,3,1,4,2,1,3,2,3,4,1,5,1,1,2,3,6,1,7,2,8,3,1,6,2,1,7,1,3,1,1,1,3,4,3,7,5,9,1,1,3,1,3,5,1,1,1,3,1,6,2,4,10,2,9,11,1,9,1,8,1,9,1,9,2,12,13,2,3,7,1,12,1,6,2,14,15,1,16,1,13,1,12,1,17,2,18,19,2,7,20,3,8,3,21,1,3,1,4,2,4,6,3,9,22,23,1,1,2,1,24,1,14,1,6,3,17,14,18,1,3,2,3,23,1,25,1,3,2,3,26,4,1,3,4,20,1,8,1,2,1,27,2,21,28,1,29,2,14,15,2,1,24,2,17,24,1,8,1,18,2,30,21,1,4,1,31,2,7,6,1,1,2,3,26,1,23,1,20,1,22,1,4,3,7,9,24,1,32,1,20,1,9,3,33,34,35,3,3,13,36,1,37,2,9,38,1,39,2,40,38,1,1,1,34,1,41,2,3,7,1,16,1,42,3,3,43,36,1,44,1,1,2,2,38,2,23,28,1,38,2,23,44,2,3,35,1,3,1,34,1,24,1,45,1,25,1,28,1,21,2,2,46,2,18,47,2,1,3,1,11,2,48,11,1,33,1,24,3,17,20,49,1,11,2,9,50,2,1,16,2,3,45,1,28,1,51,2,52,34,2,24,53,4,1,2,3,54,5,3,6,9,23,55,3,54,56,49,1,52,1,3,1,11,1,3,3,1,4,38,3,8,6,38,1,1,1,13,2,9,57,2,33,58,1,24,2,42,59,1,60,1,61,2,1,40,1,4,3,62,49,63,1,31,1,64,1,65,3,3,9,66,2,10,9,1,65,1,67,1,31,1,63,2,68,55,2,17,69,2,16,28,1,52,2,1,28,3,25,53,70,1,69,2,25,71,1,3,1,40,2,72,73,2,9,74,5,1,17,9,23,55,1,63,1,75,1,3,2,73,76,1,77,3,1,20,78,1,76,1,6,1,67,1,54,2,79,80,2,3,25,2,81,32,1,12,1,2,1,82,2,24,47,1,21,1,83,1,84,4,20,36,53,85,1,31,3,1,9,86,1,16,1,7,1,69,2,8,20,1,71,4,1,87,88,85,1,71,1,49,3,89,41,67,1,90,1,91,3,2,92,55,1,3,2,93,94,1,95,1,24,1,93,2,53,63,1,28,2,56,96,1,97,1,88,1,9,3,98,99,100,1,101,1,102,1,103,1,75,2,104,105,3,62,106,107,1,106,1,38,2,72,94,1,88,1,45,2,91,82,1,41,2,15,85,1,4,3,14,108,109,1,110,1,16,1,6,2,25,111,1,51,1,112,1,9,1,24,4,24,35,62,83,1,4,1,14,3,113,114,98,1,59,2,67,105,1,115,1,13,1,36,1,49,1,103,1,93,1,1,1,46,1,116,1,28,2,34,117,1,87,1,3,1,113,3,53,118,119,1,120,1,11,2,23,56,2,31,121,1,69,1,1,1,28,2,1,36,1,28,2,13,122,1,123,1,71,1,124,1,71,2,106,125,1,103,2,1,126,1,127,2,14,72,3,6,67,128,2,24,129,3,15,67,130,1,131,1,45,1,132,2,16,133,2,3,41,1,98,2,17,32,2,28,134,1,45,1,41,1,135,2,59,136,1,91,1,111,1,137,2,118,138,1,8,3,139,103,111,1,56,1,7,1,10,3,1,3,9,1,34,2,5,9,1,49,1,140,1,38,1,141,4,23,36,93,85,1,18,2,142,83,2,103,143,1,85,1,63,2,23,73,1,144,1,67,1,1,1,2,1,1,2,3,132,1,85,2,6,145,2,146,147,1,9,2,7,148,1,149,2,37,54,1,150,2,3,16,3,39,50,103,3,4,151,152,1,91,1,20,1,103,1,153,1,145,1,52,2,9,77,3,1,154,16,2,3,9,1,97,1,73,1,155,1,17,1,34,1,81,3,10,98,105,3,53,131,140,1,3,1,23,2,143,156,2,9,27,1,157,1,158,1,1,3,3,104,78,1,159,4,6,16,105,160,1,9,2,161,148,2,62,97,3,108,45,141,2,17,37,2,18,162,1,67,1,103,3,4,15,91,3,3,28,37,2,1,5,2,163,164,1,93,1,165,1,49,1,99,1,166,1,40,1,167,2,91,168,2,55,169,1,55,3,2,69,170,2,171,88,2,58,172,1,105,2,6,173,3,3,174,161,1,8,1,11,1,9,2,7,104,1,9,1,121,1,46,1,57,1,17,1,52,3,53,56,175,1,146,1,176,1,20,2,57,177,1,3,2,25,150,1,146,3,20,59,178,3,39,105,179,3,10,180,39,1,16,1,75,1,169,1,3,2,9,54,1,55,3,4,78,157,1,181,1,83,1,98,2,16,146,1,20,1,67,1,3,2,32,112,1,21,1,28,2,182,175,3,22,173,85,1,183,1,184,1,185,1,186,1,187,1,9,1,28,2,1,34,1,163,2,188,189,1,21,2,15,190,1,191,1,115,3,4,69,192,3,60,193,166,1,144,1,6,2,159,162,1,165,1,20,1,194,1,17,1,16,1,169,1,80,2,28,76,1,179,1,103,1,35,3,6,32,159,2,135,195,1,103,1,106,2,196,197,1,109,2,8,3,3,1,167,198,1,21,1,105,4,8,3,139,111,3,199,200,201,1,202,3,10,60,186,2,83,203,2,3,25,1,77,1,4,1,2,3,1,11,204,1,205,2,29,38,3,36,62,206,1,55,1,207,2,208,209,1,210,2,9,211,2,109,147,1,185,1,4,1,212,2,112,213,1,6,1,73,2,13,214,1,215,2,3,87
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