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