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.ArrayList;
import java.util.Scanner;

public class Main {

	public static void main(String[] args) {
		// TODO ?????????????????????????????????????????????
		Scanner s = new Scanner(System.in);
		int a,b;
		ArrayList<String> str = new ArrayList<String>();
		String[] result;
		
		for(int i = 0;i <3;i++)
		{
			str.add(s.nextLine());

		}
		
		for(int i = 0;i<3;i++)
		{
			result = str.get(i).split(" ");
			System.out.println(String.valueOf(Integer.parseInt(result[0])+Integer.parseInt(result[1])).length());
		}
		//for(int i =0;i<200;i++);


		


	}

}