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