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MathNet 1992 — Part 01 Question 30

Math Olympiad Vault · MathNet 1992 — Part 01

Question 30

There is a finite number of towns in a country. They are connected by one direction roads. It is known that, for any two towns, one of them can be reached from the other one. Prove that there is a town such that all the remaining towns can be reached from it.