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