18 into 16 best min fragment found: 6
  Cut up 18 sticks of length 16 like this:
    6 x (8 + 8)
    12 x (6 + 10)
  Reassemble as 16 sticks of length 18 like this:
    12 x (8 + 10)
    4 x (6 + 6 + 6)