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.StringTokenizer;
import java.io.*;

public class Main{
	public static void main(String[] args) throws IOException{
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		try{
			String input = br.readLine();
			StringTokenizer token;
			while(input != null){
				token = new StringTokenizer(input);
				int num = Integer.parseInt(token.nextToken()) + Integer.parseInt(token.nextToken());
				
				System.out.println((int)Math.log10(num) + 1);
				input = br.readLine();
			}
		}catch(Exception ex){
			System.exit(0);
		}
	}
}