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