30 into 17 best min fragment found: 7
  Cut up 30 sticks of length 17 like this:
    6 x (8 + 9)
    24 x (7 + 10)
  Reassemble as 17 sticks of length 30 like this:
    8 x (10 + 10 + 10)
    3 x (7 + 7 + 8 + 8)
    6 x (7 + 7 + 7 + 9)