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