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