Rational and irrational numbers
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(Brazil National Olympiad 2020 P1, AoPS) Prove that there are positive integers \(a_1, a_2, \dots, a_{2020}\) such that \[ \frac{1}{a_1} + \frac{1}{2a_2} + \frac{1}{3a_3} + \dots + \frac{1}{2020 a_{2020}} = 1 . \]
Lecture notes for Math Olympiad (IOQM, RMO, INMO)
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