[0,0,0,0,1,0,2,1,2,1,3,1,3,2,3,3,2,2,3,3,4,3,2,3, 3,3,4,4,3,3,3,5,4,5,4,5,2,4,4,5,4,5,3,5,5,5,2,6,3, 6,4,6,3,7,3,6,4,5,3,7,3,5,4,6,2,8,2,6,5,7,2,8,4,6, 7,7,4,9,2,7,4,5,4,9,3,9]