#include<stdio.h>
int main(void)
{
	int i,a,x,b,c;
	while((scanf("%d%d",&a,&b))!=EOF){
		c=0;
		x=a+b;
		while(x!=0){
			x=x/10;
			c++;
		}
		printf("%d\n",c);
	}
}
### Prompt

Your challenge is to write 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<stdio.h>
int main(void)
{
	int i,a,x,b,c;
	while((scanf("%d%d",&a,&b))!=EOF){
		c=0;
		x=a+b;
		while(x!=0){
			x=x/10;
			c++;
		}
		printf("%d\n",c);
	}
}
```