25 into 16 best min fragment found: 25/4
  Cut up 25 sticks of length 16 like this:
    1 x (8 + 8)
    2 x (31/4 + 33/4)
    2 x (15/2 + 17/2)
    2 x (29/4 + 35/4)
    2 x (7 + 9)
    2 x (27/4 + 37/4)
    2 x (13/2 + 19/2)
    12 x (25/4 + 39/4)
  Reassemble as 16 sticks of length 25 like this:
    2 x (15/2 + 31/4 + 39/4)
    2 x (29/4 + 8 + 39/4)
    2 x (7 + 33/4 + 39/4)
    2 x (27/4 + 17/2 + 39/4)
    2 x (13/2 + 35/4 + 39/4)
    2 x (25/4 + 37/4 + 19/2)
    2 x (25/4 + 9 + 39/4)
    2 x (25/4 + 25/4 + 25/4 + 25/4)