4 into 3: min fragment 1   [v1-66-g4e22cc3]
  Cut up 4 sticks of length 3 like this:
    1 x (3)
    3 x (2 + 1)
  Reassemble as 3 sticks of length 4 like this:
    1 x (3 + 1)
    1 x (2 + 2)
    1 x (2 + 1 + 1)