12 into 11 best min fragment found: 4
  Cut up 12 sticks of length 11 like this:
    6 x (5 + 6)
    6 x (4 + 7)
  Reassemble as 11 sticks of length 12 like this:
    3 x (6 + 6)
    6 x (5 + 7)
    2 x (4 + 4 + 4)