#include<bits/stdc++.h>

using namespace std;

int main(){
	int a,b;
	while(cin>>a>>b){
		int s=1;
		int g=0;
		int d=a+b;
		while(d >= 1){
		d=d/10;
		g=g+1;
	}
	printf("%d\n",g);
	}
}

### Prompt

In Cpp, your task is to solve 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<bits/stdc++.h>

using namespace std;

int main(){
	int a,b;
	while(cin>>a>>b){
		int s=1;
		int g=0;
		int d=a+b;
		while(d >= 1){
		d=d/10;
		g=g+1;
	}
	printf("%d\n",g);
	}
}

```