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()
{
    int a, b, i, sum;
    while (scanf("$%d%d", a, b) != EOF)
    {
        sum = a + b;
        for (i = 0; sum != 0; i++)
            sum = sum / 10;
        printf("%d\n", i);
    }
    return 0;
}