22 into 3: min fragment 10/7   [v1-66-g4e22cc3]
  Cut up 22 sticks of length 3 like this:
    4 x (3)
    18 x (11/7 + 10/7)
  Reassemble as 3 sticks of length 22 like this:
    1 x (3 + 3 + 3 + 11/7 + 10/7 + 10/7 + 10/7 + 10/7 + 10/7 + 10/7 + 10/7 + 10/7)
    1 x (3 + 11/7 + 11/7 + 11/7 + 10/7 + 10/7 + 10/7 + 10/7 + 10/7 + 10/7 + 10/7 + 10/7 + 10/7 + 10/7)
    1 x (11/7 + 11/7 + 11/7 + 11/7 + 11/7 + 11/7 + 11/7 + 11/7 + 11/7 + 11/7 + 11/7 + 11/7 + 11/7 + 11/7)