#include<stdio.h>


int main(){
	int i,j;
	while(scanf("%d %d",&i,&j)!=EOF){;
		int count=0;
		i=i+j;
		while(i>0){
			i=i/10;
			count++;
		}
		printf("%d\n",count);
	}
	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<stdio.h>


int main(){
	int i,j;
	while(scanf("%d %d",&i,&j)!=EOF){;
		int count=0;
		i=i+j;
		while(i>0){
			i=i/10;
			count++;
		}
		printf("%d\n",count);
	}
	return 0;
}
```