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