27 into 23 best min fragment found: 23/3
  Cut up 27 sticks of length 23 like this:
    2 x (34/3 + 35/3)
    2 x (11 + 12)
    2 x (32/3 + 37/3)
    2 x (31/3 + 38/3)
    2 x (10 + 13)
    2 x (29/3 + 40/3)
    2 x (28/3 + 41/3)
    2 x (9 + 14)
    2 x (26/3 + 43/3)
    2 x (25/3 + 44/3)
    2 x (8 + 15)
    5 x (23/3 + 23/3 + 23/3)
  Reassemble as 23 sticks of length 27 like this:
    2 x (40/3 + 41/3)
    2 x (13 + 14)
    2 x (38/3 + 43/3)
    2 x (37/3 + 44/3)
    2 x (12 + 15)
    1 x (23/3 + 29/3 + 29/3)
    2 x (23/3 + 28/3 + 10)
    2 x (23/3 + 9 + 31/3)
    2 x (23/3 + 26/3 + 32/3)
    2 x (23/3 + 25/3 + 11)
    2 x (23/3 + 8 + 34/3)
    2 x (23/3 + 23/3 + 35/3)