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