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