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.*;

class Main{
	public static void main(String[] args){
		Scanner scanner = new Scanner(System.in);
		int[] kekka = new int[200];
		int count = 0;
	        while(scanner.hasNext()) {
        		int a = scanner.nextInt();
			int b = scanner.nextInt();
			kekka[count] =  String.valueOf( a+b ).length();
			count++;
        	}
		for(int i = count ; i == 0 ; i--){
			System.out.println(kekka[i]);
		}
    	}
}