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.Scanner;
class Main{
    public static void main(String[] a){
		int num1[] = new int[200];
		int num2[] = new int[200];
		int i = 0;
		Scanner scanner = new Scanner(System.in);
		while(scanner.hasNext()){
			num1[i] = Integer.parseInt(scanner.next());
			num2[i] = Integer.parseInt(scanner.next());
			System.out.println(num1[i] + num2[i]);
			i++;
		}
		
		scanner.close();
    }
}