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