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: Wrong Answer)

import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;

public class Main {
  public static void main(String[] args) {
    BufferedReader input = new BufferedReader(new InputStreamReader(System.in));

    try {
      while (input.ready()) {
        String[] dataset = input.readLine().split(" ");
        int sum = Integer.valueOf(dataset[0]) + Integer.valueOf(dataset[1]);
        System.out.println(sum /10 +1);
      }
    } catch (IOException e) {
      e.printStackTrace();
    }
  }
}