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[] arg) throws NumberFormatException, IOException {
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		int a, b;
		String line, str;
		String[] splitedLine;
		while ((line = br.readLine()) != null) {
			splitedLine = line.split(" ");
			a = Integer.parseInt(splitedLine[0]);
			b = Integer.parseInt(splitedLine[1]);
			str = String.valueOf(a + b);
			System.out.println(str);
		}
	}
}