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