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