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