22 into 17 best min fragment found: 6
  Cut up 22 sticks of length 17 like this:
    2 x (8 + 9)
    6 x (7 + 10)
    14 x (6 + 11)
  Reassemble as 17 sticks of length 22 like this:
    7 x (11 + 11)
    2 x (7 + 7 + 8)
    2 x (6 + 7 + 9)
    6 x (6 + 6 + 10)