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SMO 2026 Junior Round 1 Question 8

SMO · SMO 2026 Junior Round 1

Question 8

The following is a $3\times3$ grid with three cells filled in with three positive integers $1,221$ and $m$. Find the value of $m$ such that it is possible to fill in the remaining six empty cells with six distinct positive integers different from $1,221$ and $m$ such that the sums of the positive integers in every row, every column and every diagonal are the same.

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