21 into 11 best min fragment found: 4
  Cut up 21 sticks of length 11 like this:
    6 x (5 + 6)
    9 x (100/21 + 131/21)
    6 x (4 + 7)
  Reassemble as 11 sticks of length 21 like this:
    2 x (7 + 7 + 7)
    3 x (100/21 + 5 + 5 + 131/21)
    6 x (4 + 100/21 + 6 + 131/21)