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