Uniformity
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## Algorithms, Graph Representation, Graphs

Problem
Editorial
Analytics

You are given a string that contains only three characters $a$, $b$, and $c$. You can change at the most $k$ characters in the string. The uniformity index of a string is defined by the maximum length of the substring that contains the same character. Your task is to determine the maximum uniformity index than can be achieved.

Input format

• First line: Two integers $n$ and $k$ where $n$ denotes the size of the string and $k$ as specified in the question
• Second line: A string of length $n$

Output format
Print a single integer denoting the maximum uniformity that can be achieved.

Constraints
$1 \le N \le 10^6\\ 0 \le K \le N$
The string $s$ contains only characters $a$, $b$, and $c$.

SAMPLE INPUT
8 1
aabaacaa
SAMPLE OUTPUT
5
Explanation

The array can be changed to $aaaaacaa$ or $aabaaaaa$.

Time Limit: 1.0 sec(s) for each input file.
Memory Limit: 256 MB
Source Limit: 1024 KB

## This Problem was Asked in

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