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,c,d;
    int i;

    while(1){
            scanf("%d %d",&a,&b);
    c = a + b;
        while(1){
            c = c / 10;
            i++;
            if(c < 10)break;
        }
    printf("%d\n",i);
    }
    return 0;

}