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