25 into 8 best min fragment found: 25/7
  Cut up 25 sticks of length 8 like this:
    1 x (4 + 4)
    4 x (26/7 + 30/7)
    20 x (25/7 + 31/7)
  Reassemble as 8 sticks of length 25 like this:
    2 x (25/7 + 4 + 30/7 + 30/7 + 31/7 + 31/7)
    4 x (25/7 + 26/7 + 31/7 + 31/7 + 31/7 + 31/7)
    2 x (25/7 + 25/7 + 25/7 + 25/7 + 25/7 + 25/7 + 25/7)