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