[0,1,1,2,1,3,1,3,2,4,1,4,1,4,2,4,1,5,1,5,3,5,1,5, 2,5,3,5,1,6,1,5,2,6,2,6,1,6,3,6,1,7,1,6,4,6,1,6,2, 7,2,6,1,7,3,6,4,7,1,7,1,6,4,6,2,7,1,7,3,7,1,7,1,7, 3,7,2,8,1,7,4,8,1,8,4,7,2,7,1,8,2,7,3,7,2,7,1,7,4, 8,1,8,1,7,5,8]