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