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.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
public class Main {

  public static void main( String[] args ) throws IOException {
    BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
    String n = br.readLine();
    while (n != null) {
      String[] sp = n.split(" ");
      int result = 0;
      for (String str : sp) {
        try {
          result += Integer.parseInt(str);
        } catch (NumberFormatException ex) {
          result = 0;
        }
      }
      if (result == 0) {
        break;
      }
      System.out.println(String.valueOf(result).length());
      n = br.readLine();
    }
  }
}