30 into 13 best min fragment found: 11/2
  Cut up 30 sticks of length 13 like this:
    2 x (13/2 + 13/2)
    4 x (6 + 7)
    24 x (11/2 + 15/2)
  Reassemble as 13 sticks of length 30 like this:
    5 x (15/2 + 15/2 + 15/2 + 15/2)
    4 x (11/2 + 11/2 + 11/2 + 13/2 + 7)
    4 x (11/2 + 11/2 + 11/2 + 6 + 15/2)