#include <bits/stdc++.h>
#define rep(i,n) for (int i=0; i<(n); ++i)
using namespace std;
using ll=long long;
int main(){
    string s;
    cin>>s;
    int n=s.size();
    int ans=n;
    rep(i,n){
        if(s[i]==s[i+1]){
            ans--;
            i+=2;
        }
    }
    cout<<ans<<endl;
}

### Prompt

Create a solution in Cpp for the following problem:

Given is a string S consisting of lowercase English letters. Find the maximum positive integer K that satisfies the following condition:

* There exists a partition of S into K non-empty strings S=S_1S_2...S_K such that S_i \neq S_{i+1} (1 \leq i \leq K-1).



Here S_1S_2...S_K represents the concatenation of S_1,S_2,...,S_K in this order.

Constraints

* 1 \leq |S| \leq 2 \times 10^5
* S consists of lowercase English letters.

Input

Input is given from Standard Input in the following format:


S


Output

Print the maximum positive integer K that satisfies the condition.

Examples

Input

aabbaa


Output

4


Input

aaaccacabaababc


Output

12

### Response

```cpp
#include <bits/stdc++.h>
#define rep(i,n) for (int i=0; i<(n); ++i)
using namespace std;
using ll=long long;
int main(){
    string s;
    cin>>s;
    int n=s.size();
    int ans=n;
    rep(i,n){
        if(s[i]==s[i+1]){
            ans--;
            i+=2;
        }
    }
    cout<<ans<<endl;
}

```