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MathNet 2007-part-01 — 187 problems (EN–VI) Question 54

Math Olympiad Vault · MathNet 2007-part-01 — 187 problems (EN–VI)

Question 54

Four mayors decide to build a circular highway passing by their cities; however, the four cities do not lie on a single circle. They hire a company to prepare a project for building the circular highway equidistant from the four cities. What is the largest number of geographically distinct projects that the company could have prepared?