Consider a \( n \times n \) grid of \( n^2 \) points. What is the minimum number of straight lines that are needed to cover all \(n^2 \) points if you were using a pen that could not be removed from the page?
Treat the points as a 0-dimensional object. They do not have length or width.
Treat the lines as a 1-dimensional object. They do not have width.