0,0,1,0,0,0,0,0,826,329,2,0,0,0,0,2,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
0,0,3,0,0,0,1,0,1652,659,5,0,0,0,0,3,2,1,0,0,1,1,1,0,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0
0,0,4,0,0,0,1,0,2470,1014,9,0,0,0,0,3,3,2,0,0,1,1,1,1,1,0,1,1,0,0,1,3,1,0,0,2,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0
0,0,5,0,0,0,1,0,3298,1328,14,0,0,0,0,3,3,2,1,0,2,1,3,2,1,0,1,2,1,1,1,4,1,0,0,2,3,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0
0,0,6,0,0,0,1,0,4124,1666,17,0,0,0,0,4,4,3,2,1,2,1,3,2,1,0,1,2,2,1,3,4,1,0,0,2,3,2,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0
0,1,6,0,0,0,1,0,4962,2000,21,0,0,0,0,4,5,4,2,1,3,2,3,2,1,0,2,2,2,1,3,5,2,0,0,3,3,2,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0
0,2,6,0,0,0,1,0,5790,2332,24,0,0,0,0,6,6,6,2,2,3,2,4,2,2,0,3,2,2,1,3,5,2,0,0,3,3,2,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,0
0,3,6,0,0,0,1,0,6626,2665,29,0,0,0,0,7,6,6,2,4,4,3,5,3,2,0,3,2,2,1,3,5,2,0,0,3,3,2,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,0
0,3,7,0,0,0,1,0,7450,3016,32,0,0,1,0,7,7,7,2,4,4,3,5,5,2,0,3,3,2,2,3,5,2,0,0,4,3,2,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,0
0,3,8,0,0,0,1,0,8263,3368,35,0,0,1,1,7,8,8,3,4,4,4,5,5,2,2,3,3,2,2,3,5,2,2,0,4,3,2,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,0
0,3,9,0,0,0,1,0,9085,3715,39,0,0,1,2,7,8,8,3,5,6,5,7,5,2,2,3,3,4,2,3,5,2,2,0,4,3,2,2,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,0
0,3,9,0,0,0,1,0,9911,4065,43,0,0,1,3,7,9,9,3,6,6,5,8,6,2,2,3,4,5,2,3,5,2,2,0,4,3,2,2,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,0
0,3,9,0,0,0,1,0,10721,4424,48,0,0,1,3,7,9,9,3,7,7,6,9,6,3,2,3,4,5,2,4,5,2,2,1,4,3,2,2,0,0,1,0,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,0
0,3,10,0,0,0,1,0,11533,4779,51,0,0,1,3,8,11,10,4,7,7,6,9,7,3,3,3,4,5,2,4,5,2,3,1,5,3,2,2,0,0,1,0,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,0
0,4,10,0,0,0,1,0,12347,5139,55,0,0,1,3,8,11,10,4,7,8,8,11,8,3,3,3,6,5,2,4,5,2,3,1,5,3,2,2,0,0,1,0,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,0
0,4,11,0,0,0,1,0,13148,5488,58,0,0,1,3,9,12,11,6,7,10,9,11,8,4,3,5,6,5,2,4,5,2,4,1,5,3,2,2,0,0,1,0,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,0
0,4,13,0,0,0,1,0,13957,5847,61,0,0,1,4,9,12,11,7,8,11,10,11,9,4,3,5,6,5,2,5,6,2,4,1,6,4,2,2,0,0,1,0,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,0
0,4,14,0,0,0,1,0,14740,6191,63,0,0,1,5,9,13,12,7,8,11,12,11,9,4,3,7,8,6,2,9,8,2,4,1,6,5,2,2,0,1,2,0,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,0
0,4,15,0,0,0,1,0,15548,6545,67,0,0,1,5,10,14,15,7,8,11,12,11,10,4,4,7,8,6,2,9,8,2,5,1,7,5,2,2,0,1,2,0,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,0
0,4,16,0,0,0,1,0,16349,6903,70,0,0,1,5,10,15,16,8,9,11,12,12,10,4,5,7,8,6,4,9,8,2,6,1,7,5,2,2,0,1,2,0,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,3,0,0,0,0
0,4,17,0,0,0,1,0,17165,7254,73,0,0,1,6,10,15,18,8,10,11,12,13,10,5,5,7,8,6,4,9,8,2,8,2,7,6,2,2,0,1,2,0,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,3,0,0,0,0
0,5,17,0,0,0,1,0,17972,7614,77,0,0,1,7,10,16,19,8,10,12,12,14,10,5,5,8,8,7,4,10,8,3,8,2,7,7,2,2,0,1,2,0,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,3,0,0,0,0
0,5,17,0,0,0,1,0,18788,7957,81,0,0,1,7,10,17,20,9,10,13,13,14,10,6,5,8,9,7,4,10,9,3,8,2,7,7,2,2,0,2,3,0,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,3,0,0,0,0
0,6,18,0,0,0,1,0,19606,8316,83,0,0,1,7,11,17,21,10,11,13,13,14,10,7,6,9,9,7,4,10,9,4,8,2,7,7,2,2,0,2,3,0,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,3,0,0,0,0
0,7,18,0,0,0,1,0,20412,8677,86,0,0,1,7,12,17,21,12,11,15,15,14,11,7,6,10,9,7,4,10,9,4,8,2,7,7,2,2,0,2,3,0,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,3,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,3,0,0,0,0
0,7,19,0,0,0,1,0,21110,8986,89,0,0,1,7,12,19,23,12,11,15,15,17,13,9,7,11,10,7,4,10,10,4,15,8,9,10,2,2,1,4,9,0,2,3,2,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,3,1,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,3,0,0,0,0
0,8,19,0,0,0,1,0,21918,9352,93,0,0,1,7,13,20,24,13,11,15,15,18,13,9,7,11,11,7,4,10,11,4,15,8,9,11,2,2,1,4,9,0,2,3,2,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,3,1,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,3,0,0,0,0
0,9,19,0,0,0,1,0,22692,9692,96,0,0,1,7,14,22,25,13,12,16,16,18,14,10,9,11,12,8,4,10,14,4,16,9,11,12,2,2,3,4,9,0,2,3,2,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,3,1,0,0,0,1,1,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,3,0,0,0,0
0,10,19,0,0,0,1,0,23495,10047,100,0,0,1,7,16,22,25,13,14,16,16,19,15,10,9,11,13,8,4,10,15,4,16,9,12,12,2,2,3,4,9,0,2,3,2,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,3,1,0,0,0,1,1,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,4,0,0,0,0
0,10,20,0,0,0,1,0,24310,10406,104,0,0,1,8,16,23,26,13,15,16,16,19,15,10,11,12,13,8,4,10,15,4,16,9,12,12,2,2,3,5,9,0,2,3,2,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,3,1,0,0,0,1,1,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,4,0,0,0,0
0,11,20,0,0,0,1,0,25099,10761,107,0,0,1,9,17,23,26,14,15,17,17,19,17,11,11,13,15,8,4,10,15,4,16,9,13,12,2,2,3,6,9,0,2,4,3,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,3,1,0,0,0,1,1,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,4,0,0,0,0
0,12,21,0,0,0,1,0,25908,11120,110,0,0,1,11,17,24,27,14,16,18,17,19,17,11,11,13,15,8,5,10,15,4,17,9,14,12,2,2,3,6,9,1,2,4,3,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,3,1,0,0,0,1,1,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,4,0,0,0,0
0,12,22,0,0,0,1,0,26716,11471,113,0,0,1,12,17,24,27,14,16,20,17,20,17,11,11,13,15,8,5,10,16,4,18,9,14,12,2,2,3,6,9,1,2,4,3,1,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,3,1,0,0,0,1,1,2,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,4,0,0,0,0
0,12,23,0,0,0,1,0,27512,11817,117,0,0,1,12,18,25,28,14,17,20,19,21,17,11,11,14,15,8,5,10,17,4,18,9,15,12,2,2,3,6,9,1,2,4,3,1,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,3,1,0,0,0,1,1,2,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,5,0,0,0,0
0,12,25,0,0,0,1,1,28314,12170,120,0,0,1,12,18,25,30,14,17,21,19,22,18,12,11,14,16,8,5,10,17,4,18,11,15,12,2,2,3,6,9,1,2,4,3,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,3,1,0,0,0,1,1,2,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,5,0,0,0,0
0,12,26,0,0,0,1,1,29132,12518,124,0,0,1,13,18,25,30,14,18,22,20,22,19,13,11,14,17,8,5,11,17,4,18,12,15,12,3,2,3,6,9,1,2,4,3,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,3,1,0,0,0,1,1,2,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,5,0,0,0,0
0,12,27,0,0,0,1,1,29898,12861,127,0,0,1,16,20,25,30,15,19,22,20,22,19,14,13,15,17,8,7,11,18,4,18,12,17,13,3,2,5,7,10,1,2,6,3,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,3,1,0,0,0,1,1,2,0,0,2,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,5,0,0,0,0
0,12,28,0,0,0,1,1,30697,13220,131,0,0,1,16,21,26,31,15,19,23,20,23,19,14,14,15,18,8,7,11,19,4,19,12,17,13,3,2,5,7,10,1,2,6,3,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,3,1,0,0,0,1,1,2,0,0,2,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,6,0,0,0,0
0,12,29,0,0,0,1,1,31519,13572,134,0,0,1,16,21,26,33,15,19,25,20,24,19,14,14,15,19,8,7,11,20,4,19,12,17,13,3,3,5,7,10,1,2,6,3,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,3,1,0,0,0,1,1,2,0,0,2,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,6,0,0,0,0
0,13,30,0,0,0,1,1,32304,13919,136,0,0,1,17,22,26,33,16,21,26,20,25,19,14,16,15,19,8,7,12,24,4,19,12,18,15,4,4,5,7,10,1,2,7,3,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,3,1,0,0,0,1,1,2,0,0,2,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,6,0,0,0,0
0,14,30,0,0,0,1,1,33114,14276,139,0,0,2,17,22,26,33,16,22,27,21,25,19,14,16,15,19,8,8,12,25,4,19,12,20,15,4,4,5,7,10,1,2,7,4,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,3,1,0,0,0,1,1,2,0,0,2,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,6,0,0,0,0
0,14,31,0,0,0,1,1,33928,14637,143,0,0,2,17,22,28,35,16,22,27,21,25,20,14,16,16,20,8,8,12,26,4,19,12,20,15,4,4,5,7,10,1,2,7,4,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,3,1,0,0,0,1,1,2,0,0,2,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,6,0,0,0,0
0,15,31,0,0,0,1,1,34440,14859,145,0,0,2,18,22,28,36,16,24,27,22,26,20,14,17,16,21,8,8,12,26,4,19,12,20,15,4,4,5,8,10,1,2,7,4,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,3,1,0,0,0,2,1,2,0,0,2,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,6,0,0,0,0
0,15,31,0,0,0,1,1,34440,14859,145,0,0,2,18,22,28,36,16,24,27,22,26,20,14,17,16,21,8,8,12,26,4,19,12,20,15,4,4,5,8,10,1,2,7,4,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,3,1,0,0,0,2,1,2,0,0,2,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,6,0,0,0,0
0,15,31,0,0,0,1,1,34440,14859,145,0,0,2,18,22,28,36,16,24,27,22,26,20,14,17,16,21,8,8,12,26,4,19,12,20,15,4,4,5,8,10,1,2,7,4,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,3,1,0,0,0,2,1,2,0,0,2,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,6,0,0,0,0