22 into 19 best min fragment found: 13/2
  Cut up 22 sticks of length 19 like this:
    4 x (19/2 + 19/2)
    4 x (9 + 10)
    2 x (8 + 11)
    4 x (7 + 12)
    8 x (13/2 + 25/2)
  Reassemble as 19 sticks of length 22 like this:
    1 x (11 + 11)
    4 x (10 + 12)
    8 x (19/2 + 25/2)
    2 x (7 + 7 + 8)
    4 x (13/2 + 13/2 + 9)