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: WA: Presentation Error)

import java.io.*;

class Main{
	public static void main(String[] args) throws IOException{
		InputStreamReader isr = new InputStreamReader(System.in);
		BufferedReader br = new BufferedReader(isr);
		String line = null;
		while ((line = br.readLine()) != null){
			String[] strary = line.split(" ");
			int num1 = Integer.parseInt(strary[0]);
			int num2 = Integer.parseInt(strary[1]);
			System.out.println(String.valueOf(num1+num2).length()+"\n");
		}
		br.close();
	}
}