The problem of the week will return in the Spring 25 semester. We thank everyone who participated this Fall. For the winter break, we suggest reviewing all the problems from the Fall and working on the additional problems posted at the bottom of the provided solutions.

• Problem 7 Solved by Prof. Vladislav Kargin.

• Problem 6 We have not received any solutions.

• Problem 5 Solved by Prof. Vladislav Kargin and Dr. Mathew Wolak.

• Problem 4 Solved by Levi Axelrod and Dr. Mathew Wolak.

• Problem 3 We have not received any solutions.

• Problem 2 Solution submitted by Levi Axelrod and Surajit Rajagopal.

• Problem 1 Solved by Sasha Aksenchuk, Prof. Vladislav Kargin, Josiah Moltz, and Mithun Padinhare Veettil.