#include<iostream>

int main(){
	int a,b;
	while(std::cin>>a>>b){
		int c=a+b,sum=1;
		while(c/10!=0){
			sum++;
			c/=10;
		}
		std::cout<<sum<<std::endl;
	}
	return 0;
}
### Prompt

Construct a Cpp code solution to the problem outlined:

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>

int main(){
	int a,b;
	while(std::cin>>a>>b){
		int c=a+b,sum=1;
		while(c/10!=0){
			sum++;
			c/=10;
		}
		std::cout<<sum<<std::endl;
	}
	return 0;
}
```