Very good lists
Source: Mexico National Olympiad 2019 P4
November 12, 2019
combinatorics
Problem Statement
A list of positive integers is called good if the maximum element of the list appears exactly once. A sublist is a list formed by one or more consecutive elements of a list. For example, the list the sublist is good and is not. A list is very good if all its sublists are good. Find the minimum value of such that there exists a very good list of length with different values on it.