The problem of the week will return in the Fall 2025 semester. We thank everyone who participated this Spring. For the Summer, we suggest reviewing problems from past semesters and working on the additional problems posted at the bottom of the provided solutions.

• Problem 7 We did not receive any solutions.

• Problem 6 Solution submitted by Emily (Qingyue) Liu, Josiah Moltz, and Andrew Zhou (a high school senior from Cincinnati, OH).

• Problem 5 Solution submitted by David Biddle, Raisha Chowdhury, Robert Kroplewski, Emily (Qingyue) Liu, Josiah Moltz.

• Problem 4 Solution submitted by Josiah Moltz and Dr Mathew Wolak.

• Problem 3 Solved by Ashton Keith (Purdue University), Josiah Moltz, and Dr Mathew Wolak.

• Problem 2 Solved by Josiah Moltz and Dr Mathew Wolak.

• Problem 1 Solution submitted by David Biddle, ChatGPT via Prof. Vladislav Kargin, Colin McCann jointly with Michael Mancuso, Maxwell Meyers, Ethan Tong.