it would take c days to take off all the hats

On Aug 18, 3:51 pm, "pg@manit" <[email protected]> wrote:
> A bunch of men are on an island. A genie comes down and gathers
> everyone together and places a magical hat on some people’s heads
> (i.e., at least one person has a hat). The hat is magical: it can be
> seen by other people, but not by the wearer of the hat himself. To
> remove the hat, those (and only those who have a hat) must dunk
> themselves underwater at exactly midnight. If there are n people and c
> hats, how long does it take the men to remove the hats? The men cannot
> tell each other (in any way) that they have a hat.
> FOLLOW UP
> Prove that your solution is correct.

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