19 into 5 best min fragment found: 16/7
  Cut up 19 sticks of length 5 like this:
    2 x (17/7 + 18/7)
    17 x (16/7 + 19/7)
  Reassemble as 5 sticks of length 19 like this:
    2 x (19/7 + 19/7 + 19/7 + 19/7 + 19/7 + 19/7 + 19/7)
    1 x (16/7 + 16/7 + 16/7 + 16/7 + 16/7 + 17/7 + 17/7 + 19/7)
    2 x (16/7 + 16/7 + 16/7 + 16/7 + 16/7 + 16/7 + 18/7 + 19/7)