Question 176
Define a hook to be a figure made up of six unit squares as shown in the diagram or any of the figures obtained by applying rotations and reflections to this figure.
Determine all $m \times n$ rectangles that can be covered with hooks so that
* the rectangle is covered without gaps and without overlaps;
* no part of a hook covers area outside the rectangle.
Determine all $m \times n$ rectangles that can be covered with hooks so that
* the rectangle is covered without gaps and without overlaps;
* no part of a hook covers area outside the rectangle.