Difference between revisions of "2023 USAMO Problems/Problem 5"
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Revision as of 21:37, 2 April 2023
Problem
Let be an integer. We say that an arrangement of the numbers , , , in a table is row-valid if the numbers in each row can be permuted to form an arithmetic progression, and column-valid if the numbers in each column can be permuted to form an arithmetic progression. For what values of is it possible to transform any row-valid arrangement into a column-valid arrangement by permuting the numbers in each row?