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)

/* Volume0 0002 Digit Number */
import java.util.Scanner;

class Main{
	public static void main(String[] args){

		Scanner stdIn = new Scanner(System.in);

		while( stdIn.hasNext()){
			System.out.println( (int)Math.log10(stdIn.nextInt()+stdIn.nextInt())+1 );
		}

	}
}