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