19 into 12 best min fragment found: 19/4
  Cut up 19 sticks of length 12 like this:
    2 x (12)
    1 x (6 + 6)
    2 x (23/4 + 25/4)
    2 x (11/2 + 13/2)
    2 x (21/4 + 27/4)
    2 x (5 + 7)
    8 x (19/4 + 29/4)
  Reassemble as 12 sticks of length 19 like this:
    2 x (7 + 12)
    2 x (23/4 + 6 + 29/4)
    2 x (11/2 + 25/4 + 29/4)
    2 x (21/4 + 13/2 + 29/4)
    2 x (5 + 27/4 + 29/4)
    2 x (19/4 + 19/4 + 19/4 + 19/4)