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