#include <bits/stdc++.h>
using namespace std;
char st[200010];
int main() {
	scanf("%s", st);
	int n = strlen(st);
	string s = "", pre = "";
	int ans = 0;
	for(int i = 0; i < n; ++ i) {
		s += st[i];
		if(s != pre) {
			pre = s;
			s = "";
			++ ans;
		}
	}
	printf("%d\n", ans);
}
### Prompt

Please create a solution in CPP to 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;
char st[200010];
int main() {
	scanf("%s", st);
	int n = strlen(st);
	string s = "", pre = "";
	int ans = 0;
	for(int i = 0; i < n; ++ i) {
		s += st[i];
		if(s != pre) {
			pre = s;
			s = "";
			++ ans;
		}
	}
	printf("%d\n", ans);
}
```