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 a,b,sum,k=1,count=0;
    while(1){
        scanf("%d %d",&a,&b);
        if(a==EOF||b==EOF)
            break;
        
        sum=a+b;
        k=1;
        count=0;
        while(1){
            if(sum/k==0)
                break;
            k=k*10;
            
            count++;
        }
        printf("%d\n",count);
        
    }
    
    return 0;
    
}