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.util.Scanner;

public class Main {
	public static void main(String[] args) {
		Scanner scanner = new Scanner(System.in);
			String[] s = scanner.nextLine().split(" ");
			int a = Integer.parseInt(s[0]);
			int b = Integer.parseInt(s[1]);
			int digitsOfA = 0;
			int digitsOfB = 0;
			if (a >= 0) {
				digitsOfA = Integer.valueOf(a).toString().length();
			}
			if (b >= 0) {
				digitsOfB = Integer.valueOf(b).toString().length();
			}
			int sumOfDigits = digitsOfA + digitsOfB;
			System.out.println(sumOfDigits);
		
	}
}