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