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A table is filled with integers as shown below<br>ODD EVEN ODD<br>EVEN ODD EVEN<br>ODD EVEN ODD
The first and third rows (and columns) contain two odd numbers and one even number, so their sums are even. The second row and second column contain one odd number and two even numbers, so their sums are odd. So the sum of the second row or second column is odd.
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