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