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