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