You are given a string s consisting of lowercase Latin letters. Character c is called k-dominant iff each substring of s with length at least k contains this character c.

You have to find minimum k such that there exists at least one k-dominant character.

Input

The first line contains string s consisting of lowercase Latin letters (1 ≤ |s| ≤ 100000).

Output

Print one number — the minimum value of k such that there exists at least one k-dominant character.

Example

Input
abacaba
Output
2
Input
zzzzz
Output
1
Input
abcde
Output
3

自己用两重for循环写了一个代码,提交的时候TEL
#include<stdio.h>
#include<string.h>
#include<math.h>
#include<vector>
#include<algorithm> using namespace std; int main()
{
struct nood
{
char c;
bool b;
} a[]; char s[];
scanf("%s", &s);
int len = strlen(s);
for(int i = ; i < len; i++)
{
a[i].c = s[i];
a[i].b = true;
} int flag1 = ;
int flag2 = ;
int maxn = ;
int ans[]; for(int i = ; i < len; i++)
{
if(a[i].b == true)
{
for(int j = i+; j < len; j++)
{
if(a[i].c == a[j].c)
{
maxn = max(maxn ,j - i - flag2);
flag2 = j - i;
a[j].b = false;
}
}
}
ans[flag1++] = maxn;
} sort(ans, ans+flag1); bool judge = true;
for(int i = ; i < len; i++)
{
if(!a[i].b)
judge = false;
} if(judge)
printf("%d\n", len/ + );
else
printf("%d\n", ans[]); return ;
}

 AC代码

#include <vector>
#include <iostream>
#include <algorithm>
using namespace std; vector <int> T[];
vector <int> res[];
const int INF=0x3f3f3f3f; int main(){
int len,tmp,t,ans=INF;
string s;
cin>>s;
len=s.size();
for(int i=;i<;i++) T[i].push_back(-);//最前面的处理
for(int i=;i<len;i++){
tmp=s[i]-'a';
t=i-T[tmp].back();
T[tmp].push_back(i);
res[tmp].push_back(t);
}
for(int i=;i<;i++){
t=len-T[i].back();//最后面的处理
res[i].push_back(t);
sort(res[i].begin(),res[i].end());
}
for(int i=;i<;i++){
if(res[i].size()>){
ans=min(ans,res[i].back());
}
}
if(ans==INF) cout<<len/+<<endl;
else cout<<ans<<endl;
return ;
}

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