CodeForces-Zuhair and Strings（思维+枚举）

最新推荐文章于 2021-01-20 00:57:52 发布

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本文介绍了一种算法，用于在一个给定长度的字符串中找到最大的非负整数级别，该级别表示可以找到的非交叠子串数量，这些子串长度相同且由单一字符组成。通过枚举所有可能的字符并计算满足条件的子串，最终确定字符串的级别。

Given a string ss of length nn and integer kk (1≤k≤n1≤k≤n). The string ss has a level xx, if xx is largest non-negative integer, such that it's possible to find in ss:

xx non-intersecting (non-overlapping) substrings of length kk,
all characters of these xx substrings are the same (i.e. each substring contains only one distinct character and this character is the same for all the substrings).

A substring is a sequence of consecutive (adjacent) characters, it is defined by two integers ii and jj (1≤i≤j≤n1≤i≤j≤n), denoted as s[i…j]s[i…j] = "sisi+1…sjsisi+1…sj".

For example, if k=2k=2, then:

the string "aabb" has level 11 (you can select substring "aa"),
the strings "zzzz" and "zzbzz" has level 22 (you can select two non-intersecting substrings "zz" in each of them),
the strings "abed" and "aca" have level 00 (you can't find at least one substring of the length k=2k=2 containing the only distinct character).

Zuhair gave you the integer kk and the string ss of length nn. You need to find xx, the level of the string ss.

Input

The first line contains two integers nn and kk (1≤k≤n≤2⋅1051≤k≤n≤2⋅105) — the length of the string and the value of kk.

The second line contains the string ss of length nn consisting only of lowercase Latin letters.

Output

Print a single integer xx — the level of the string.

Examples

Input

8 2
aaacaabb

Output

Input

2 1
ab

Output

Input

4 2
abab

Output

Note

In the first example, we can select 22 non-intersecting substrings consisting of letter 'a': "(aa)ac(aa)bb", so the level is 22.

In the second example, we can select either substring "a" or "b" to get the answer 11.

思路：从'a'-'z'枚举即可

代码：

#include<cstring>
#include<algorithm>
#include<cstdio>
#include<iostream>

using namespace std;
char a[200005];

int main()
{
	
	int n,k;
	cin>>n>>k;
	getchar();
	scanf("%s",a);
	int len=strlen(a);
	int maxn=0;
	for(char  t='a';t<='z';t++)
	{
		
		
		int sum=0;
		int ss=0;
		for(int j=0;j<len;j++)
		{
			if(a[j]!=t)
			{
				sum+=ss/k;
				ss=0;
			}
			else
			{
				ss++;
			}
		}
		sum+=ss/k;
		maxn=max(sum,maxn);
	}
	cout<<maxn<<endl;
	
	
	return 0;
}