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.*;
import java.lang.*;
import java.math.*;

class Main {

	Scanner sc = new Scanner(System.in);

	void run() {
		
		int x = sc.nextInt() + sc.nextInt();
		
		int count = 0;
		
		do{
			x /= 10;
			count++;
		} while ( x != 0);
		
		
		System.out.println(count);
		return;

	}

	public static void main(String[] args) {
		new Main().run();
	}
}