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