[0,0,1,1,2,1,2,2,2,2,3,3,3,2,3,2,4,4,2,3,4,3,4,5, 4,3,5,3,4,6,3,5,6,2,5,6,5,5,7,4,5,8,5,4,9,4,5,7,3, 6,8,5,6,8,6,7,10,6,6,12,4,5,10,3,7,9,6,5,8,7,8,11, 6,5,12,4,8,11,5,8,10,5,6,13,9,6,11,7,7,14,6,8,13, 5,8,11,7,9]