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