18 into 7 best min fragment found: 3
  Cut up 18 sticks of length 7 like this:
    18 x (3 + 4)
  Reassemble as 7 sticks of length 18 like this:
    6 x (3 + 3 + 4 + 4 + 4)
    1 x (3 + 3 + 3 + 3 + 3 + 3)