16 into 7 best min fragment found: 3
  Cut up 16 sticks of length 7 like this:
    4 x (7)
    12 x (3 + 4)
  Reassemble as 7 sticks of length 16 like this:
    3 x (4 + 4 + 4 + 4)
    4 x (3 + 3 + 3 + 7)