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>
#define DATAMAX 200
#define DIGITMAX 7
int main(void) {
    long int a,b,sum;
    int i,j;
    int count;
    for(i=0;i<DATAMAX;i++){
        scanf("%ld %ld",&a,&b);
//        printf("%d,%d\n",a,b);
        if(a<0||b<0){  //データの終わりならプログラム終了
            break;
        }
        
        count=0;
        sum=a+b;
        for(i=0;i<DIGITMAX;i++){
            sum/=10;
            count++;
            if(sum==0){ // sumが1以下になれば
                printf("%d\n",count);
                break;
            }else{
            }
        }
    }
    
        return 0;
}