[1,2,2,2,2,3,2,3,3,3,4,3,2,4,4,4,4,3,5,4,4,6,4,3,6,3,4,7,4,5,6,3,5,7,6,5,7,5,5,9,5,4,10,4,5,7,4,6,9,6,6,9,7,7,11,6,6,12,4,5,10,4,7,10,6,5,9,8,8,11,6,5,13,5,8,11,6,8,10,6,6,14,9,6,12,7,7,15,7,8,13,5,8,12,8,9]