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;

class Main{
	public static void main(String[] a){
		Scanner scanner = new Scanner(System.in);
		String input = scanner.nextLine();
		scanner.close();
		
		char[] c = input.toCharArray();
			
		int count = 0;
			
		for (int i = 0; i < c.length; i++) {
			int num = Character.getNumericValue(c[i]);
			if (i < c.length && num > 0) {
				count += 1;
			}
		}
		System.out.println(count);
	}
}