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) {
		print();
	}

	private static void print()  {
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));

		try {
			String str = br.readLine();
			String[] nums = str.split(" ", 0);

			int a = Integer.parseInt(nums[0]);
			int b = Integer.parseInt(nums[1]);

	        System.out.println(a+b);

		} catch (IOException e) {
			e.printStackTrace();
		}

	}

}