Question 8
Tim wants to place 1600 points inside a unit square such that there is at least one point inside every rectangle of area $\frac1{200}$ and with sides parallel to those of the square. Is it possible to do it? If your answer is yes, please give an example and show that it works. If your answer is no, please prove it is impossible.
Paper instruction: Give a full solution, subject to the example-or-proof instructions in the question.
Paper instruction: Give a full solution, subject to the example-or-proof instructions in the question.