Skip to content / Đến nội dung
ThichHocToan.com

MathNet 2007-part-01 — 187 problems (EN–VI) Question 95

Math Olympiad Vault · MathNet 2007-part-01 — 187 problems (EN–VI)

Question 95

Let $m \gt 1$ and $n \gt 1$ be odd integers. Distinct real numbers are written in the cells of a table of $m$ rows and $n$ columns. A number is called *good* if:
1. it is the largest in its row (column);
2. it is the middle number of its column (row).
What is the maximal number of good numbers?