[1,2,1,3,1,3,2,4,2,4,2,4,1,5,2,6,2,6,2,6,2,6,2,6, 3,5,4,6,3,7,4,8,4,8,4,8,4,8,4,8,4,8,4,8,4,8,4,8,3, 9,2,8,1,9,2,10,3,9,4,10,3,11,4,12,4,12,4,12,4,12, 4,12,4,12,4,12,4,12,4,12,4,12,4,12,4,12,4,12,4,12, 4,12,4,12,4]