Question 7
On a gridded board of $10$ rows by $500$ columns, starting with the lower left square and following the model suggested by the figure, Joaquín painted $2006$ squares black.

Then Agustina painted the squares that had two or more neighboring black squares blue. How many squares did Agustina paint?
Note: Two squares are neighbors if they have a common side.

Then Agustina painted the squares that had two or more neighboring black squares blue. How many squares did Agustina paint?
Note: Two squares are neighbors if they have a common side.