On Problem 3 of International Mathematical Olympiad 2024

The article is dedicated to solving Problem 3 from the International Mathematical Olympiad (IMO) 2024. The wording looks deceptively easy, but the problem turned out to be quite difficult for many of the participants, including the Bulgarian contestants. We interpret the process as an infinite path in a directed graph, which allows us to more easily prove the key claims.

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Publication Details

Journal
Mathematics and Informatics
Published
2024-12-30
DOI
https://doi.org/10.53656/math2024-6-1-ont
Primary Topic
Mathematics Education and Pedagogy
Type
article
Field-Weighted Citation Impact
0.00
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article

On Problem 3 of International Mathematical Olympiad 2024

Dragomir Grozev
Mathematics and Informatics
Mathematics Education and Pedagogy
article

On Problem 3 of International Mathematical Olympiad 2024

Dragomir Grozev
article en

Abstract

The article is dedicated to solving Problem 3 from the International Mathematical Olympiad (IMO) 2024. The wording looks deceptively easy, but the problem turned out to be quite difficult for many of the participants, including the Bulgarian contestants. We interpret the process as an infinite path in a directed graph, which allows us to more easily prove the key claims.

Mathematics and InformaticsVol. 67(6)
Openalex Percentile: Top 51%
Mathematics Education and Pedagogy
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On Problem 3 of International Mathematical Olympiad 2024 — Dragomir Grozev · Mathematics and Informatics (2024) | TGRS Research Map | TGRS