22 into 16 best min fragment found: 16/3
  Cut up 22 sticks of length 16 like this:
    2 x (8 + 8)
    4 x (22/3 + 26/3)
    4 x (20/3 + 28/3)
    4 x (6 + 10)
    8 x (16/3 + 16/3 + 16/3)
  Reassemble as 16 sticks of length 22 like this:
    4 x (16/3 + 8 + 26/3)
    4 x (16/3 + 22/3 + 28/3)
    4 x (16/3 + 20/3 + 10)
    4 x (16/3 + 16/3 + 16/3 + 6)