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(void) {
    int na, nb, count = 0;
    int added;
   
    while(1) {
        if(scanf("%d %d", &na, &nb) != EOF) {
            
        added = na + nb;

        while(added > 0) {
            added /= 10;
        
            count++;
        }
        
        printf("%d\n", count);
        count = 0;
            
        }
    }
    
    return(0);
}