MathDB
2023 numbers from {-1,0,12} Puerto Rico TST 2023.1.3

Source:

March 23, 2024
combinatoricsalgebra

Problem Statement

You have a list of 20232023 numbers, where each one can be āˆ’1-1, 00, 11 or 22. The sum of all numbers is 1919 and the sum of their squares is 9999. What are the minimum and maximum values of the sum of the cubes of those 20232023 numbers?