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