30 into 23 best min fragment found: 8
  Cut up 30 sticks of length 23 like this:
    6 x (10 + 13)
    6 x (9 + 14)
    18 x (8 + 15)
  Reassemble as 23 sticks of length 30 like this:
    9 x (15 + 15)
    2 x (10 + 10 + 10)
    6 x (8 + 9 + 13)
    6 x (8 + 8 + 14)