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