[1,2,2,3,2,3,4,2,3,4,4,5,2,3,4,4,5,4,5,6,2,3,4,4, 5,4,5,6,4,5,6,6,7,2,3,4,4,5,4,5,6,4,5,6,6,7,4,5,6, 6,7,6,7,8,2,3,4,4,5,4,5,6,4,5,6,6,7,4,5,6,6,7,6,7, 8,4,5,6,6,7,6,7,8,6,7,8,8,9,2,3,4,4,5,4,5,6,4,5,6, 6,7,4,5,6,6]