[Codeforces-888C] - K-Dominant Character

C. K-Dominant Character

time limit per test

2 seconds

memory limit per test

256 megabytes

input

standard input

output

standard output

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.

Examples

input

Copy

abacaba

output

Copy

2

input

Copy

zzzzz

output

Copy

1

input

Copy

abcde

output

Copy

3

#include <iostream>
#include <stdio.h>
#include <algorithm>
using namespace std;

int main(){
    string str;
    while(cin>>str){
        getchar();
//        cout<<" len = "<<str.length()<<endl;
        int ans = 1e6;
        for(int i='a';i<='z';i++){
            int k = 0, t = 1;
            for(int j=0;j<str.length();j++){
                    
                if(str[j]==i)
                    t=1;
                else 
                    t++;
                k = max(k,t);
            }
//            cout<<" k = "<<k<<endl; 
            ans = min(k,ans);
        }
        cout<<ans<<endl;
    }
}