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)

import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;

public class Main {
	public static void main(String[] a) throws IOException {
		InputStreamReader is = new InputStreamReader(System.in);
		BufferedReader br = new BufferedReader(is);
		String str;
		while ((str = br.readLine()) !=null) {

			String num_str[] = new String[2];
			num_str = str.split(" ");
			int sum = Integer.parseInt(num_str[0]) + Integer.parseInt(num_str[1]);
			System.out.println(Integer.toString(sum).length());
		}
	}
}