18 into 14 best min fragment found: 5
  Cut up 18 sticks of length 14 like this:
    6 x (6 + 8)
    12 x (5 + 9)
  Reassemble as 14 sticks of length 18 like this:
    6 x (9 + 9)
    2 x (6 + 6 + 6)
    6 x (5 + 5 + 8)