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