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);
		int a = scanner.nextInt();
		int b = scanner.nextInt();
		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);
	}
}