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MathNet 2018-part-01 — 181 problems (EN–VI) Question 147

Math Olympiad Vault · MathNet 2018-part-01 — 181 problems (EN–VI)

Question 147

The sums of the three columns and of the three rows of the table are equal.

| 4 | 9 | 2 |
| :--- | :--- | :--- |
| 8 | 1 | 6 |
| 3 | 5 | 7 |

What is the smallest number of cells of the table that must be changed so that all six new sums are different from each other?