#include<stdio.h>

int main(){
	
	int a,b,c,t;
	
	while(scanf("%d",&a)!=EOF){
		scanf("%d",&b);
		c=a+b;
		
		for(t=1;c/10!=0;t++){
			c=c/10;
		}
		printf("%d\n",t);
		
	}
	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 a,b,c,t;
	
	while(scanf("%d",&a)!=EOF){
		scanf("%d",&b);
		c=a+b;
		
		for(t=1;c/10!=0;t++){
			c=c/10;
		}
		printf("%d\n",t);
		
	}
	return 0;
}
```