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MathNet 2012 Question 95

Math Olympiad Vault · MathNet 2012

Question 95

Is it possible to fill in a table $7 \times 7$ with $24$ ones and $25$ zeros so that:
1) for each cell containing one, sum of numbers in neighbour cells equals one,
2) for each cell containing zero, sum of numbers in neighbour cells does not equal one?
(Two cells are neighbours if they have a common side.)