24 into 19 best min fragment found: 27/4
  Cut up 24 sticks of length 19 like this:
    2 x (19/2 + 19/2)
    4 x (17/2 + 21/2)
    8 x (29/4 + 47/4)
    2 x (7 + 12)
    8 x (27/4 + 49/4)
  Reassemble as 19 sticks of length 24 like this:
    1 x (12 + 12)
    8 x (47/4 + 49/4)
    4 x (29/4 + 29/4 + 19/2)
    2 x (7 + 17/2 + 17/2)
    4 x (27/4 + 27/4 + 21/2)