19 into 15 best min fragment found: 21/4
  Cut up 19 sticks of length 15 like this:
    1 x (15/2 + 15/2)
    2 x (7 + 8)
    2 x (27/4 + 33/4)
    6 x (23/4 + 37/4)
    2 x (11/2 + 19/2)
    6 x (21/4 + 39/4)
  Reassemble as 15 sticks of length 19 like this:
    1 x (19/2 + 19/2)
    6 x (37/4 + 39/4)
    2 x (23/4 + 23/4 + 15/2)
    2 x (21/4 + 27/4 + 7)
    2 x (21/4 + 23/4 + 8)
    2 x (21/4 + 11/2 + 33/4)