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.util.StringTokenizer;
 
/*
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 * and open the template in the editor.
 */
 
/**
 *
 * @author wijebandara
 */
public class Main {
     public static void main(String[] args) {
        java.io.BufferedReader in = new java.io.BufferedReader(new java.io.InputStreamReader(System.in));
        {
            try {
                String s =in.readLine();
                StringTokenizer st;
                while(s!=null)
                {
                    st = new StringTokenizer(s);
                    int p =Integer.parseInt(st.nextToken()) + Integer.parseInt(st.nextToken()) ;
                     
                    System.out.println((int)Math.log10(p)+1);
                    s =in.readLine();
                }
            } catch (Exception ex) {
                System.exit(0);
            }
             
             
        }
     }
}