#include<bits/stdc++.h>
using namespace std;
using ll=long long;

int main(){
  int i,j,cnt=0;
  string s;
  cin>>s;
  for(i=1;i<s.size();i++){
    if(s[i-1]==s[i]){
      cnt++;
      i+=2;
    }
  }
  cout<<s.size()-cnt;
}
### 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>
using namespace std;
using ll=long long;

int main(){
  int i,j,cnt=0;
  string s;
  cin>>s;
  for(i=1;i<s.size();i++){
    if(s[i-1]==s[i]){
      cnt++;
      i+=2;
    }
  }
  cout<<s.size()-cnt;
}
```