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.*;
import java.io.*;

public class Main {
  private static int a, b;
  public static void main(String[] args) {
    Scanner stdIn = new Scanner(System.in);
    List<String> numst = new ArrayList<String>();
    while (stdIn.hasNextInt()) {
      a = stdIn.nextInt();
      b = stdIn.nextInt();
      numst.add(String.valueOf(a+b));
    }
    for (String  sum: numst) {
      System.out.println(sum.length());
    }
  }
}