[0,0,1,1,2,2,2,1,3,3,1,3,3,4,3,5,4,2,5,4,4,4,4,3, 3,6,6,4,4,3,4,5,6,3,6,5,4,5,5,6,4,3,4,5,5,2,5,4,6, 4,6,6,3,7,5,7,6,4,7,6,5,5,7,5,4,5,8,6,7,6,8,6,7,9, 4,6,5,5,8,3,6,6,5,4,6,5,7,7,8]