The cookie conundrum has finally been solved - or so it seems. Three friends, Andy, Bea, and Celine, were left with a jar of ten cookies, each determined to get as many as possible without ending up with the most or least. Sounds like a simple game, but logic soon sets in.
In order for all three friends to walk away happy, no one can be left with the maximum number of cookies while also being at the lower end of the spectrum. This means that if Andy takes too many, he'll fall foul of condition 2 - having as many cookies as possible shouldn't mean having the most. Bea has a clever plan to avoid this: by taking all the remaining cookies when she can.
Andy's thought process is a bit more complicated. He doesn't want to take too few cookies, because that would make him the loser. However, he also can't take too many - or else he'll be left with the most, which isn't desirable either. So Andy takes four cookies and leaves Bea to do her thing.
As for Bea, she knows exactly what she's doing. If she only took a few cookies, Celine would end up with the least number, which is unacceptable. However, if Bea takes all the remaining cookies, then everyone walks away happy, each with an equal amount of cookies. It's a clever move, but does it work?
Luckily for our friends, yes, it does. Andy gets four, Bea gets six, and Celine is left with none. Not the most generous solution, perhaps, but one that satisfies both conditions.
Now, can you solve it yourself? Or are you as smart as Mr. Spock himself?
In order for all three friends to walk away happy, no one can be left with the maximum number of cookies while also being at the lower end of the spectrum. This means that if Andy takes too many, he'll fall foul of condition 2 - having as many cookies as possible shouldn't mean having the most. Bea has a clever plan to avoid this: by taking all the remaining cookies when she can.
Andy's thought process is a bit more complicated. He doesn't want to take too few cookies, because that would make him the loser. However, he also can't take too many - or else he'll be left with the most, which isn't desirable either. So Andy takes four cookies and leaves Bea to do her thing.
As for Bea, she knows exactly what she's doing. If she only took a few cookies, Celine would end up with the least number, which is unacceptable. However, if Bea takes all the remaining cookies, then everyone walks away happy, each with an equal amount of cookies. It's a clever move, but does it work?
Luckily for our friends, yes, it does. Andy gets four, Bea gets six, and Celine is left with none. Not the most generous solution, perhaps, but one that satisfies both conditions.
Now, can you solve it yourself? Or are you as smart as Mr. Spock himself?