Problem:
Digit Number

Write a program which computes the digit number of sum of two integers a and b.

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.

Constraints

0 ≤ a, b ≤ 1,000,000

The number of datasets ≤ 200

Output

Print the number of digits of a + b for each data set.

Sample Input

5 7
1 99
1000 999

Output for the Sample Input

2
3
4

Solution in C (judge verdict: Wrong Answer)

#include <stdio.h>
int main()
{
    int n;
    scanf("%d",&n);
    int i, a, b,d=0, c;
    for(i=1;i<=n;i++)
    {
        scanf("%d %d",&a,&b);
        c=a+b;
        while(c>0)
        {
            d++;
            c=c/10;

        }
        printf("%d\n",d);
        d=0;
    }
    return 0;
}