There are six busybodies in town who like to share information. Whenever one of them calls another, by the end of the conversation they both know everything that the other one knew beforehand. One day, each of the six picks up a juicy piece of gossip. What is the minimum number of phone calls required before all six of them know all six of these tidbits?
From Derrick Niederman's Hard-to-Solve Math Puzzles.
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