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