19 into 6 best min fragment found: 19/7
  Cut up 19 sticks of length 6 like this:
    1 x (3 + 3)
    2 x (20/7 + 22/7)
    16 x (19/7 + 23/7)
  Reassemble as 6 sticks of length 19 like this:
    2 x (20/7 + 3 + 23/7 + 23/7 + 23/7 + 23/7)
    2 x (19/7 + 22/7 + 23/7 + 23/7 + 23/7 + 23/7)
    2 x (19/7 + 19/7 + 19/7 + 19/7 + 19/7 + 19/7 + 19/7)