27 into 25 best min fragment found: 17/2
  Cut up 27 sticks of length 25 like this:
    3 x (25/2 + 25/2)
    3 x (12 + 13)
    3 x (11 + 14)
    6 x (21/2 + 29/2)
    3 x (10 + 15)
    3 x (9 + 16)
    6 x (17/2 + 33/2)
  Reassemble as 25 sticks of length 27 like this:
    3 x (13 + 14)
    6 x (25/2 + 29/2)
    3 x (12 + 15)
    3 x (11 + 16)
    6 x (21/2 + 33/2)
    1 x (9 + 9 + 9)
    3 x (17/2 + 17/2 + 10)