List of positive integers
Source: AIME II 2024 problem 2
February 8, 2024
AMCAIMEAIME II
Problem Statement
A list of positive integers has the following properties:
- The sum of the items in the list is .
- The unique mode of the list is .
- The median of the list is a positive integer that does not appear in the list itself.Find the sum of the squares of all the items in the list.