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