#include <iostream>

int main(){
	int a, b ,i ,n ;
	while(std::cin>>a>>b){
	i=1;
	for(n=1;a+b>=i*10;n++){
	i=i*10;
	}
	std::cout<<n<<std::endl;
}
return 0;
}
### Prompt

Generate a Cpp solution 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>

int main(){
	int a, b ,i ,n ;
	while(std::cin>>a>>b){
	i=1;
	for(n=1;a+b>=i*10;n++){
	i=i*10;
	}
	std::cout<<n<<std::endl;
}
return 0;
}
```