The problem of the week will return in the Fall 2023 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 Solutions submitted by Aleksandr Aksenchuk, Prof. Vladislav Kargin, and Krishnaraj Sambath .

• Problem 6 Solved by Prof. Vladislav Kargin.

• Problem 5 No correct solution was received.

• Problem 4 Solution received from Prof. Vladislav Kargin, Ashton Keith, Krishnaraj Sambath, and Thomas Wu.

• Problem 3 Solved by Prof. Vladislav Kargin and by Prof. Anton Schick.

• Problem 2 No solutions were submitted.

• Problem 1 Solved by Ashton Keith.