[0,0,0,0,1,1,1,1,2,2,2,1,3,1,4,2,1,4,2,2,4,2,3,2, 4,3,4,4,2,2,2,1,5,3,4,3,3,2,3,4,2,2,4,2,4,4,1,5,3, 2,6,4,1,5,6,3,3,5,1,5,5,2,7,5,3,4,4,3,4,6,3,4,6,4, 5,6,3,7,4,2,6,1,3,5,9,3,3,7,4,3,7,1,6,5,5,5,6,3,6, 7]