[0,1,1,2,2,2,2,3,2,2,4,5,3,1,5,7,1,3,4,4,3,2,5,3, 6,6,1,6,8,6,6,4,7,7,3,5,5,6,6,5,5,3,7,8,7,7,8,8,6, 4,8,8,5,3,8,8,5,15,6,8,3,9,5,6,7,9,4,6,8,9,5,4,7, 8,7,6,10,9,9,8,6,6,9,9,7,12,5,10,7,7,5,3,8,10,7,5, 9,7,4,5]