22 into 7 best min fragment found: 22/7
  Cut up 22 sticks of length 7 like this:
    1 x (73/21 + 74/21)
    1 x (71/21 + 76/21)
    1 x (10/3 + 11/3)
    1 x (68/21 + 79/21)
    1 x (67/21 + 80/21)
    17 x (22/7 + 27/7)
  Reassemble as 7 sticks of length 22 like this:
    1 x (68/21 + 10/3 + 27/7 + 27/7 + 27/7 + 27/7)
    1 x (67/21 + 71/21 + 27/7 + 27/7 + 27/7 + 27/7)
    1 x (22/7 + 76/21 + 11/3 + 27/7 + 27/7 + 27/7)
    1 x (22/7 + 74/21 + 79/21 + 27/7 + 27/7 + 27/7)
    1 x (22/7 + 73/21 + 80/21 + 27/7 + 27/7 + 27/7)
    2 x (22/7 + 22/7 + 22/7 + 22/7 + 22/7 + 22/7 + 22/7)