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