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