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MathNet 2026 — Part 01 Question 33

Math Olympiad Vault · MathNet 2026 — Part 01

Question 33

Guilherme wrote a number in each house on a board $8 \times 8$ so that the sum of the numbers of the neighboring houses of each house on the board is equal to 1. Calculate the sum of all the numbers written by William. Note: Two houses are neighbors if they have a common side.