30 into 16 best min fragment found: 6
  Cut up 30 sticks of length 16 like this:
    6 x (8 + 8)
    24 x (6 + 10)
  Reassemble as 16 sticks of length 30 like this:
    4 x (10 + 10 + 10)
    12 x (6 + 6 + 8 + 10)