Determine the maximum number of distinct numbers the Gus list can contain.
Source: May Olimpiad 2019 Level 1 P3
March 9, 2021
number theory
Problem Statement
Gus has to make a list of positive integers, not necessarily distinct, such that each number is equal to the number of numbers in the list that are different from it. For example, if is a number from the list so the list contains numbers other than . Determine the maximum number of distinct numbers the Gus list can contain.