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, b, c;
		int count;

		a = scanner.nextInt();
		b = scanner.nextInt();
		c = a + b;
		count = 1;
		while (scanner.hasNext()) {
			while (10 <= c) {
				c /= 10;
				count++;
			}
			System.out.println(count);
			a = scanner.nextInt();
			b = scanner.nextInt();
			c = a + b;
			count = 1;
		}
	}
}