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