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: Accepted)

import java.util.Scanner;

public class Main {
	public static void main(String[] args) {
		try(Scanner scanner = new Scanner(System.in)){
			while(scanner.hasNext()){
				int result = digitNumber(scanner.nextInt(), scanner.nextInt());
				System.out.println(result);
			}
		}
	}
	
	public static int digitNumber(int a, int b){
		return (""+(a+b)).length();
	}
}