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: Time Limit Exceeded)

#include<stdio.h>
int main()
{
    long long int a,b;
    while(scanf("%lld %lld",&a,&b))
    {
        long long p=0,t=0;
        p=a+b;
        while(p!=0)
        {
            int n=p%10;
            p=p/10;
            t++;
        }
        printf("%lld\n",t);
    }
    return 0;
}