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,c;
    int tem=0;
    int ten;
    
    while(scanf("%d",&a) != " "){
        scanf("%d %d",&a,&b);
        c = a+b;
        for(ten=1;ten<=100000;ten*=10){
            if(c/ten != 0){
                tem+=1;
            }else{
                break;
            }
        }
        printf("%d\n",tem);
        tem=0;
    }
 
   return 0;
}