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