19 into 13 best min fragment found: 13/3
  Cut up 19 sticks of length 13 like this:
    1 x (58/9 + 59/9)
    1 x (19/3 + 20/3)
    1 x (56/9 + 61/9)
    1 x (55/9 + 62/9)
    1 x (6 + 7)
    1 x (53/9 + 64/9)
    4 x (52/9 + 65/9)
    1 x (17/3 + 22/3)
    7 x (50/9 + 67/9)
    1 x (13/3 + 13/3 + 13/3)
  Reassemble as 13 sticks of length 19 like this:
    2 x (52/9 + 52/9 + 67/9)
    1 x (17/3 + 53/9 + 67/9)
    1 x (50/9 + 20/3 + 61/9)
    1 x (50/9 + 59/9 + 62/9)
    1 x (50/9 + 58/9 + 7)
    1 x (50/9 + 19/3 + 64/9)
    1 x (50/9 + 56/9 + 65/9)
    1 x (50/9 + 55/9 + 22/3)
    1 x (50/9 + 6 + 67/9)
    3 x (13/3 + 65/9 + 67/9)