16 into 13 best min fragment found: 14/3
  Cut up 16 sticks of length 13 like this:
    2 x (19/3 + 20/3)
    6 x (16/3 + 23/3)
    2 x (5 + 8)
    6 x (14/3 + 25/3)
  Reassemble as 13 sticks of length 16 like this:
    1 x (8 + 8)
    6 x (23/3 + 25/3)
    2 x (16/3 + 16/3 + 16/3)
    2 x (14/3 + 5 + 19/3)
    2 x (14/3 + 14/3 + 20/3)