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