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Junior Regional Olympiad - FBH 2016 Grade 7 Problem 5

Source:

September 29, 2018
tablecombinatorics

Problem Statement

In table https://services.artofproblemsolving.com/download.php?id=YXR0YWNobWVudHMvZC9hLzBjNjFlZWFjM2ZlOTQzMTk2YTdkMzQ2MjJiYzYyMWFlN2Y0ZGZlLnBuZw==&rn=dGFibGljYWEucG5n
1010 numbers are circled, in every row and every column exactly one. Prove that among them, there are at least two equal