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, n1, n2=10, i, digit=1;

    while(scanf(" %d %d", &a, &b)){
        n1 = a + b;

        for(i=0; i<=n1; i++){
            if(i >= n2){
                digit++;
                n2 *= 10;
            }
        }
        printf("%d\n", digit);
        digit = 1;
        n2 = 10;
    }

    return 0;
}