30 into 19 best min fragment found: 15/2
  Cut up 30 sticks of length 19 like this:
    2 x (19/2 + 19/2)
    4 x (9 + 10)
    4 x (17/2 + 21/2)
    4 x (8 + 11)
    16 x (15/2 + 23/2)
  Reassemble as 19 sticks of length 30 like this:
    4 x (9 + 19/2 + 23/2)
    4 x (17/2 + 10 + 23/2)
    4 x (8 + 21/2 + 23/2)
    4 x (15/2 + 11 + 23/2)
    3 x (15/2 + 15/2 + 15/2 + 15/2)