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.math.BigDecimal;
import java.util.Scanner;

public class Main{

	public static void main(String[] args) {

		Scanner stdin = new Scanner(System.in);

		int x = stdin.nextInt();
		int y = stdin.nextInt();

		int z = x + y;
		BigDecimal.valueOf(z).precision();
		


		System.out.println(BigDecimal.valueOf(z).precision());


	}

}