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>
#include <stdlib.h>

int main () {
    int i, n = 0;
    int data[1000];

    while(1) {
        if ( scanf("%d %d", &data[n], &data[n+1]) == EOF )
            break;
        n += 2;
    }

    for ( i = 0; i < n; i += 2 ) {
        int sum = data[i] + data[i+1];
        int digit = 0;
        while( sum >= 10 ) {
            // sum /= 10;
            digit++;
        }

        printf("%d\n", digit);
    }
    return 1;
}