#include <cstdio>

int main()
{
int a,b;
while(scanf("%d%d",&a,&b)!=EOF){
int n = a+b;int ans=0;
while(n!=0){
ans++;
n=n/10;} 
printf("%d\n",ans);}
}
### Prompt

Construct a Cpp code solution to the problem outlined:

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 <cstdio>

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