21 into 17 best min fragment found: 6
  Cut up 21 sticks of length 17 like this:
    3 x (8 + 9)
    9 x (7 + 10)
    9 x (6 + 11)
  Reassemble as 17 sticks of length 21 like this:
    9 x (10 + 11)
    2 x (7 + 7 + 7)
    3 x (6 + 7 + 8)
    3 x (6 + 6 + 9)