#include <iostream>

using namespace std;

int main(){

	int a,b,c;
	int i;

		while(cin>>a>>b){
			c = a+b;
				for(i=1;c>9;i++){
				c=c/10;
				}
			cout<<i<<endl;
		}

return 0;
}
### Prompt

Create a solution in Cpp for 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,c;
	int i;

		while(cin>>a>>b){
			c = a+b;
				for(i=1;c>9;i++){
				c=c/10;
				}
			cout<<i<<endl;
		}

return 0;
}
```