#include"iostream"
using namespace std;
int main()
{
	long a,b;
	while(cin>>a>>b)
	{
		a=a+b;
		int i=0;
		while(a)
		{
			a=a/10;
			i+=1;
		}
		cout<<i<<endl;
	}
	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"iostream"
using namespace std;
int main()
{
	long a,b;
	while(cin>>a>>b)
	{
		a=a+b;
		int i=0;
		while(a)
		{
			a=a/10;
			i+=1;
		}
		cout<<i<<endl;
	}
	return 0;
}
```