Question 3
Define a “hook” to be a figure made up of six unit squares as shown below in the picture, or any of the figures obtained by applying rotations and reflections to this figure.
Determine all $m\times n$ rectangles that can be covered by hooks without gaps or overlaps, such that no part of a hook covers area outside the rectangle.
Determine all $m\times n$ rectangles that can be covered by hooks without gaps or overlaps, such that no part of a hook covers area outside the rectangle.