A 4x4 grid is drawn so that it has 16 unit squares. A diagonal within a unit square is a straight line with endpoints at opposite corners of the square - see the image for an example. You are required to draw such diagonals in such a way that none of them have a point in common; that is, two diagonals cannot overlap and they cannot touch at an endpoint.

What is the maximum number of such diagonals of unit squares that can be drawn within this 4x4 grid?

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