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

class Main {
	public static void main(String[] a) throws IOException {
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		int sum;
		String str[];
		while (!br.ready()) {
			try {
				str = br.readLine().split(" ");
				sum = Integer.parseInt(str[0]) + Integer.parseInt(str[1]);
				System.out.println(Integer.toString(sum).length());
			} catch (NumberFormatException e) {
				return;
			}
		}
	}
}