[0,1,2,1,1,2,1,1,2,1,1,2,2,2,3,4,4,4,3,3,4,3,3,4, 4,4,5,5,5,6,7,7,7,6,6,7,8,8,8,7,7,8,8,8,7,7,7,7,6, 6,7,6,6,7,6,6,7,7,7,7,7,7,7,6,6,7,7,7,8,9,9,9,9,9, 10,11,11,11,12,12,12,11,11,12,12,12,13,13,13]