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 JAVA (judge verdict: Accepted)

import java.io.*;
public class Main {
    public static void main(String[] args)throws IOException{
        BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
        String s;
        try{
            while((s=br.readLine())!=null){
                String[] str=s.split(" ");
                int n=Integer.parseInt(str[0])+Integer.parseInt(str[1]);
                System.out.println(Integer.toString(n).length());
            }
            br.close();
        }catch(Exception e){
        }
    }
}