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