Only one solution?
If we label the birds 1 through 6 from left to right, and the bags of gnomes A through E, why does the game consider the following solution to be wrong?
(Enclosed in spoiler tags, just in case.)
Bird 1 has both legs tied to bag A,
Bird 2 has both legs tied to bag B,
Bird 3 has both legs tied to bag C,
Bird 4 has both legs tied to bag D,
Birds 5 and 6 each have both legs tied to bag E.
This solution does not violate any of the specified limitations:
1) Weight limits per bird
- The mallards (birds 3 and 4) respectively carry 1.5 and 2 gnomes per leg.
- The owl (bird 6) carries the weight of 1.5 gnome per leg.
- The bluebirds (1, 2 and 5) respectively carry 0.5, 1 and 1 gnome per leg.
2) Birds may team up on heavy loads
3) Weight is distributed evenly between legs
- This is evidently the case for birds 1 through 4, which carry only a single bag each.
- This is also the case for birds 5 and 6, of which all four legs are tied to the same bag.
4) Lines can't cross
- Each of birds 1 through 4 is located almost directly above the bag it carries.
- Birds 5 and 6 are separated enough horizontally so that their four lines do not cross.
It appears that none of the constraints given by the game are violated by the solution, yet the game does consider the solution wrong (and adds the statement that 'there is only one possible solution'). What gives?
(Note: I've already found the 'correct' solution, but would still like to know why this particular one is rejected.)
Last edited by Ramshackle; 07/04/2010 at 05:33 am.