[0,1,1,1,2,1,2,2,2,2,3,3,3,2,3,2,4,4,2,3,4,3,4,5, 4,3,5,3,4,6,3,5,6,2,4,6,4,4,7,4,5,8,5,4,9,4,4,7,2, 5,7,4,5,8,5,6,9,5,5,11,4,5,8,3,5,7,5,4,7,6,6,8,5, 4,9,3,6,8,4,7,9,4,5,11,7,5,8]