[0,1,2,1,2,1,0,1,2,1,0,1,0,1,2,2,3,2,1,2,1,2,3,3, 2,3,4,4,5,5,5,5,6,5,4,5,4,5,6,6,5,6,7,7,8,8,8,8,7, 8,9,9,10,10,10,10,11,11,11,11,11,11,11,11,12,11, 10,11,10,11,12,12,11,12,13,13,14,14,14,14,13,14, 15,15,16,16,16]