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