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,i,j;
    int count;
    int max_data = 200;
    
    for(i=1;i<=max_data;i++){
        a=-1;
        b=-1;
        count=0;
        scanf("%d %d",&a,&b);
        
        if(a<0||b<0){
            break;
        }
        c=a+b;
        while(d>=0){
            d=c/10;
            count++;
        }
    }
}