Paradoxica
-insert title here-
I'm surprised there wasn't one already. Rules as per other marathons, this one is for those problems that are more logical than mathematical.
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Isn't it just one?
Question: The king has ordered 1,000,000 bottles of wine, but has been told that exactly one is poisoned. To figure out which one is poisoned, he is given access to mice.
He can give any bottle he wants to any mouse, and can do it more than once (so a mouse can have more than one bottle, and one bottle may be shared as much as he wants).
Given that he must give the mice the allocated wine simultaneously, was is the least amount of mice needed to determine the poisoned bottle?
Note that you can't have stages since the mice have to have the wine all SIMULTANEOUSLY.
Is the answer: 20??Note that you can't have stages since the mice have to have the wine all SIMULTANEOUSLY.
Wow, is it really possible to do that with only 20 mice?Is the answer: 20??
YepIs the answer: 20??
Ah ok, good .Feeling a bit lazy to write out my method now, maybe wil later, unless someone else posts their solution and is similar to mine.
Yep these were exactly my method.
Bob has 2, Charlie has 4?
Correct.Bob has 2, Charlie has 4?
O' woe is me,
Two terms combined,
Those yews are ours,
Beginning and end, intertwined.
Begging for amnesty,
They flow,
In a sea of decay,
But Never giving up Hope,
In what remains.
DUVCOPLOZUM