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.*;

public class Main{
	private static final Scanner scan = new Scanner(System.in);

	public static void main(String[] args){
		List<Integer> list = new ArrayList<Integer>();
		while(scan.hasNext()){
			int a = scan.nextInt();
			int b = scan.nextInt();
			int c = a + b;
			String d = String.valueOf(c);
			int len = d.length();
			list.add(len);
		}

		for(int n : list){
			System.out.printf("%d\n", n);
		}
	}
}