22 into 14 best min fragment found: 11/2
  Cut up 22 sticks of length 14 like this:
    2 x (7 + 7)
    4 x (13/2 + 15/2)
    4 x (6 + 8)
    12 x (11/2 + 17/2)
  Reassemble as 14 sticks of length 22 like this:
    4 x (13/2 + 7 + 17/2)
    4 x (6 + 15/2 + 17/2)
    4 x (11/2 + 8 + 17/2)
    2 x (11/2 + 11/2 + 11/2 + 11/2)