MathCastle
Proof Writing & Problem SolvingEasy

Proof Writing & Problem Solving · Easy problem

Each cell of a 3×33 \times 3 grid holds −1-1, 00 or 11. The 3 row sums, 3 column sums and 2 diagonal sums make 8 sums, and a pigeonhole proof shows two of them are equal. How many possible values for a sum does the proof use as boxes?

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