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MathNet 2013 Question 50

Math Olympiad Vault · MathNet 2013

Question 50

The numbers from $1$ to $2013^{2}$ are written row by row into a table consisting of $2013 \times 2013$ cells. Afterwards, all columns and all rows containing at least one of the perfect squares $1, 4, 9, \ldots, 2013^{2}$ are simultaneously deleted.
How many cells remain?