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