#include <iostream>

using namespace std;

int main(){
	
	int a,b;
	int  s,k;
	
	while(cin>>a>>b){
	s=a+b;
		k=0;
	while(s!=0){
	s=s/10;
	k++;
	}
		cout<<k<<endl;
	}
	}
### Prompt

Please create a solution in Cpp to the following problem:

Write a program which computes the digit number of sum of two integers a and b.

Constraints

* 0 ≤ a, b ≤ 1,000,000
* The number of datasets ≤ 200

Input

There are several test cases. Each test case consists of two non-negative integers a and b which are separeted by a space in a line. The input terminates with EOF.

Output

Print the number of digits of a + b for each data set.

Example

Input

5 7
1 99
1000 999


Output

2
3
4

### Response

```cpp
#include <iostream>

using namespace std;

int main(){
	
	int a,b;
	int  s,k;
	
	while(cin>>a>>b){
	s=a+b;
		k=0;
	while(s!=0){
	s=s/10;
	k++;
	}
		cout<<k<<endl;
	}
	}
```