14 into 10 best min fragment found: 10/3
  Cut up 14 sticks of length 10 like this:
    4 x (14/3 + 16/3)
    4 x (4 + 6)
    6 x (10/3 + 10/3 + 10/3)
  Reassemble as 10 sticks of length 14 like this:
    2 x (10/3 + 16/3 + 16/3)
    4 x (10/3 + 14/3 + 6)
    4 x (10/3 + 10/3 + 10/3 + 4)