Long Enough Plateaus X77133

Given a sequence of integers, a plateau is a subsequence of consecutive identical numbers. For example, in 1 2 2 2 1 4 we have a plateau of length 3 formed by 2’s, and the rest of the plateaus have length 1. Your task is to write a program that checks for long enough plateaus.

Input

First comes an integer $n\geq 1$; then, starting in the next line, a sequence of integers follows, possibly spanning several lines in an unpredictable manner.

Output

If there are $n$ or more consecutive occurrences of the same number, say $i$, the answer should be "A plateau of $i$’s of length at least $n$ occurs.", with the right values of $i$ and $n$ inserted appropriately: $i$ must be such that the plateau of $n$ occurrences of $i$ is the first plateau of that length. Otherwise, the answer should be "No plateau of length $n$ occurs." Don’t forget the period at the end of these sentences.