27 into 26 best min fragment found: 9
  Cut up 27 sticks of length 26 like this:
    3 x (13 + 13)
    6 x (12 + 14)
    6 x (11 + 15)
    6 x (10 + 16)
    6 x (9 + 17)
  Reassemble as 26 sticks of length 27 like this:
    6 x (13 + 14)
    6 x (12 + 15)
    6 x (11 + 16)
    6 x (10 + 17)
    2 x (9 + 9 + 9)