Problem:
Score : 500 points

Problem Statement

You are given a string S consisting of 0 and 1.
Find the maximum integer K not greater than |S| such that we can turn all the characters of S into 0 by repeating the following operation some number of times.

Choose a contiguous segment [l,r] in S whose length is at least K (that is, r-l+1\geq K must be satisfied). For each integer i such that l\leq i\leq r, do the following: if S_i is 0, replace it with 1; if S_i is 1, replace it with 0.

Constraints

1\leq |S|\leq 10^5

S_i(1\leq i\leq N) is either 0 or 1.

Input

Input is given from Standard Input in the following format:

S

Output

Print the maximum integer K such that we can turn all the characters of S into 0 by repeating the operation some number of times.

Sample Input 1

010

Sample Output 1

2

We can turn all the characters of S into 0 by the following operations:

Perform the operation on the segment S[1,3] with length 3. S is now 101.

Perform the operation on the segment S[1,2] with length 2. S is now 011.

Perform the operation on the segment S[2,3] with length 2. S is now 000.

Sample Input 2

100000000

Sample Output 2

8

Sample Input 3

00001111

Sample Output 3

4

Solution in C++14 (GCC 5.4.1) (judge verdict: Wrong Answer)

//#define _GLIBCXX_DEBUG
#include <bits/stdc++.h>
typedef int64_t int64;
typedef uint32_t uint;
typedef uint64_t uint64;
using namespace std;

//---

template <typename T>
inline void print(const T& rhs){ std::cout<<" = "<<rhs<<std::endl; }
template <typename T>
inline void print(const std::vector<T>& rhs){
    std::cout<<" = [ ";
    for(uint i=0; i<rhs.size(); ++i){ std::cout<<rhs[i]<<' '; }
    std::cout<<"]"<<std::endl;
}
template <typename T>
inline void print(const std::vector<std::vector<T>>& rhs){
    std::cout<<" = "<<std::endl;
    std::cout<<"[[ ";
    for(uint p=0; p<rhs.size(); ++p){
        if(p!=0){ std::cout<<" [ "; }
        for(uint q=0; q<rhs[p].size(); ++q){
            std::cout<<rhs[p][q]<<' ';
        }
        if(p!=rhs.size()-1){ std::cout<<"]"<<std::endl; }
    }
    std::cout<<"]]"<<std::endl;
}
template <typename TL, typename TR>
inline void print(const std::vector<std::pair<TR,TL>>& rhs){
    std::cout<<" = [";
    uint i=0;
    for(; i<rhs.size()-1; ++i){ std::cout<<"[f: "<<rhs[i].first<<", s: "<<rhs[i].second<<"], "; }
    std::cout<<"[f: "<<rhs[i].first<<", s: "<<rhs[i].second<<"]]" << endl;
}
#define printn(var) {printf("%s", #var);print(var);}
#define printn_all(var) {printf("%s(%d): ", __func__, __LINE__);printf("%s", #var);print(var);}

//---

int main(){
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    
    string s; cin >> s;
    
    int num0=0, num1=0;
    for(uint i=0; i<s.size(); ++i){
        if(s[i]=='0'){ ++num0; }else{ ++num1; }
    }
    cout << max(num0, num1) << endl;
    
    return 0;
}