Understand the problem
Source of the problem
Start with hints
Instead of reflecting the ray and keeping the rectangle fixed, reflect the rectangle and keep the ray fixed.
Following hint 1, you will get a grid of rectangles and a straight line representing the path of light. If this straight line passes through one of the reflections of the opposite vertex, then in our original representation it has to pass through the opposite vertex. Similarly, if it passes through one of the reflections of the centre then in the original representation, it has to pass through the centre.
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