Patryn of Elvenshae said:
Don't all these solutions depend on there being an even mix of red and green flames?
I mean, if *I* were an Evil necromancer, I'd make 'em all red just to screw with 'em.
EDIT:
And then, of course, I'd kill them all anyway. I keep my Evil Overlords' Handbook next to my bedside.
not quite. The solution is actually to yell out the the ODD number of colors (sorry for the confusion), because the 1st person always sees an odd number of people.
Example 1 (all one color):
-Player A sees 9 RED flames. So he says "RED". (remember, his own color is random, so he has a 50/50 chance of living).
-Player B sees 8 RED in front of him, so he knows his flame is the 9th one (odd), so he shouts RED. The moment he does that, RED now becomes EVEN.
-Player C sees 7 Red in front of him, and it was originally ODD, But he knows player B shouted RED, so there should be an even number of red in total, therefore HE is the 8th red, so he shouts RED... etc
Example 2 (mixed):
-Player A sees 2 RED flames and 7 GREEN, so he shouts "GREEN", because GREEN is ODD.
--Assume player B sees 1 RED and 7 GREEN in front of him. Well, Green is ODD, which is still truee from his point of view, therefore he knows his is RED.
--Assume player B sees 2 RED and 6 GREEN in front of him. Well, Green is ODD, but he does not see an odd number, so he knows that he is GREEN.
Mathematically it is sound. Remember, play A
always sees an odd number of players. So one of the colors
must be odd.
Conclusion:
-It sucks to be player A
~Le