27 into 17 best min fragment found: 27/4
  Cut up 27 sticks of length 17 like this:
    1 x (17/2 + 17/2)
    2 x (33/4 + 35/4)
    2 x (8 + 9)
    2 x (31/4 + 37/4)
    2 x (15/2 + 19/2)
    2 x (29/4 + 39/4)
    2 x (7 + 10)
    14 x (27/4 + 41/4)
  Reassemble as 17 sticks of length 27 like this:
    2 x (33/4 + 17/2 + 41/4)
    2 x (8 + 35/4 + 41/4)
    2 x (31/4 + 9 + 41/4)
    2 x (15/2 + 37/4 + 41/4)
    2 x (29/4 + 19/2 + 41/4)
    2 x (7 + 39/4 + 41/4)
    2 x (27/4 + 10 + 41/4)
    3 x (27/4 + 27/4 + 27/4 + 27/4)