23 into 22 best min fragment found: 15/2
  Cut up 23 sticks of length 22 like this:
    1 x (11 + 11)
    4 x (21/2 + 23/2)
    2 x (10 + 12)
    4 x (19/2 + 25/2)
    2 x (9 + 13)
    4 x (17/2 + 27/2)
    2 x (8 + 14)
    4 x (15/2 + 29/2)
  Reassemble as 22 sticks of length 23 like this:
    2 x (23/2 + 23/2)
    2 x (11 + 12)
    4 x (21/2 + 25/2)
    2 x (10 + 13)
    4 x (19/2 + 27/2)
    2 x (9 + 14)
    4 x (17/2 + 29/2)
    2 x (15/2 + 15/2 + 8)