16 into 15 best min fragment found: 5
  Cut up 16 sticks of length 15 like this:
    3 x (29/4 + 31/4)
    3 x (27/4 + 33/4)
    3 x (25/4 + 35/4)
    3 x (23/4 + 37/4)
    3 x (21/4 + 39/4)
    1 x (5 + 5 + 5)
  Reassemble as 15 sticks of length 16 like this:
    3 x (31/4 + 33/4)
    3 x (29/4 + 35/4)
    3 x (27/4 + 37/4)
    3 x (25/4 + 39/4)
    3 x (5 + 21/4 + 23/4)