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