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<iostream>
using namespace std;
int main(){
    int a,b,work;
    int count = 1;
    while(cin >> a >> b){
        work = a + b;
        while(work != 0){
            if(work / 10 != 0){
                 count++;
            }else{
                cout << count << endl;
            }
            count = 1;
        }
    }
    return 0;
}