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There are N secret agents each know a different piece of
secret information. They can telephone each other and
exchange all the information they know. After the telephone
call, they both know anything that either of them knew
before the call.
What are the minimum number of telephone calls needed so
that all of the them know everything?
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Answer Posted / max
The minimum number of calls required are: (n-1)+(n-2) = 2n-3
First agent needs to call n-1 agents to get all the
information. At the end of his last call i.e. (n-1)'th call,
the first and the n'th agent know all the information.
Now, if the first agent calls the remaining (n-2) agents,
all the information is shared between all agents.
It would not matter if the number of agents were even or odd.
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