MathDB
2023 Iran MO 2nd round P4

Source: 2023 Iran MO

May 17, 2023
combinatorics

Problem Statement

4. A positive integer n is given.Find the smallest kk such that we can fill a 3k3*k gird with non-negative integers such that: \newline ii) Sum of the numbers in each column is nn. iiii) Each of the numbers 0,1,,n0,1,\dots,n appears at least once in each row.