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MathNet 2023-part-04 — 191 problems (EN–VI) Question 174

Math Olympiad Vault · MathNet 2023-part-04 — 191 problems (EN–VI)

Question 174

Consider a $4 \times 4$ array of pairwise distinct positive integers such that on each column, respectively row, one of the numbers is equal to the sum of the other three. Determine the least possible value of the largest number such an array may contain.