29 into 21 best min fragment found: 7
  Cut up 29 sticks of length 21 like this:
    6 x (10 + 11)
    6 x (9 + 12)
    6 x (8 + 13)
    11 x (7 + 7 + 7)
  Reassemble as 21 sticks of length 29 like this:
    3 x (7 + 11 + 11)
    6 x (7 + 10 + 12)
    6 x (7 + 9 + 13)
    6 x (7 + 7 + 7 + 8)