25 into 22 best min fragment found: 23/3
  Cut up 25 sticks of length 22 like this:
    1 x (11 + 11)
    6 x (32/3 + 34/3)
    2 x (29/3 + 37/3)
    2 x (28/3 + 38/3)
    6 x (25/3 + 41/3)
    2 x (8 + 14)
    6 x (23/3 + 43/3)
  Reassemble as 22 sticks of length 25 like this:
    2 x (37/3 + 38/3)
    6 x (34/3 + 41/3)
    2 x (11 + 14)
    6 x (32/3 + 43/3)
    2 x (25/3 + 25/3 + 25/3)
    2 x (23/3 + 8 + 28/3)
    2 x (23/3 + 23/3 + 29/3)