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