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