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