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