[0,0,0,1,2,3,3,2,2,2,1,4,7,7,4,4,4,1,6,3,3,6,6,6, 1,8,15,15,8,8,8,1,10,3,3,10,10,10,1,12,7,7,12,12, 12,1,14,3,3,14,14,14,1,16,31,31,16,16,16,1,18,3,3, 18,18,18,1,20,7,7,20,20,20,1,22,3,3,22,22,22]