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What is 3rd Olympiad Metropolises Day 1 Problems about?

The document presents three mathematical problems from the 3rd Olympiad of Metropolises. Problem 1 involves solving a system of equations, Problem 2 concerns a geometric configuration with a circumscribed quadrilateral, and Problem 3 deals with properties of prime numbers and congruences. Each problem is attributed to different authors and requires advanced mathematical reasoning to solve.

Author

choirock1982

Language

EN