[0,1,2,2,3,2,3,3,4,3,3,3,4,3,4,4,5,4,4,3,4,3,4,4, 5,4,4,4,5,4,5,5,6,5,5,4,5,4,4,4,5,4,4,4,5,4,5,5,6, 5,5,4,5,4,5,5,6,5,5,5,6,5,6,6,7,6,6,5,6,5,5,5,6,5, 5,4,5,4,5,5,6,5,5,4,5,4,5,5,6,5,5,5,6,5,6,6,7,6,6, 5,6,5,5,5,6,5,5,5,6,5,6,6,7,6,6,5,6,5,6,6,7]