#include <stdio.h>
int main()
{
	int a, b;
	while (scanf("%d%d",&a,&b)!= EOF)
	{
		int i = 0;
		a = a + b;
		while (a>0)
		{
			a = a / 10;
			i++;

		}
		printf("%d\n", i);
	}
}
### Prompt

Your task is to create 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()
{
	int a, b;
	while (scanf("%d%d",&a,&b)!= EOF)
	{
		int i = 0;
		a = a + b;
		while (a>0)
		{
			a = a / 10;
			i++;

		}
		printf("%d\n", i);
	}
}
```