23 into 19 best min fragment found: 27/4
  Cut up 23 sticks of length 19 like this:
    1 x (19/2 + 19/2)
    6 x (33/4 + 43/4)
    2 x (8 + 11)
    2 x (31/4 + 45/4)
    2 x (15/2 + 23/2)
    2 x (29/4 + 47/4)
    2 x (7 + 12)
    6 x (27/4 + 49/4)
  Reassemble as 19 sticks of length 23 like this:
    1 x (23/2 + 23/2)
    2 x (45/4 + 47/4)
    2 x (11 + 12)
    6 x (43/4 + 49/4)
    2 x (29/4 + 15/2 + 33/4)
    2 x (7 + 31/4 + 33/4)
    2 x (27/4 + 8 + 33/4)
    2 x (27/4 + 27/4 + 19/2)