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 digit(int n);

int main(void)
{
    int i,n,sum[200];

    for(i=0;i<200;i++){
        int a,b;
        char c;

        scanf("%d %d%c",&a,&b,&c);
        sum[i]=a+b;

        if(c!='\n'){
            n=i;
            break;
        }
    }

    for(i=0;i<=n;i++){
        printf("%d\n",digit(sum[i]));
    }

    return 0;
}

int digit(int n)
{
    int digit=0;

    while(n>=0){
        n=(int)(n/10);
        digit++;
    }

    return digit;
}