12 into 5 best min fragment found: 2
  Cut up 12 sticks of length 5 like this:
    12 x (2 + 3)
  Reassemble as 5 sticks of length 12 like this:
    1 x (3 + 3 + 3 + 3)
    4 x (2 + 2 + 2 + 3 + 3)