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;
import java.util.Arrays;
import java.util.Collections;
import java.util.ArrayList;

public class Main {
	public static void main(String[] args) throws IOException {
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		
		String input = "";
		
		while((input = br.readLine()) != null){
			String[] arr = input.split(" ");
	
			int a = Integer.parseInt(arr[0]);
			int b = Integer.parseInt(arr[1]);
	
			int inputAngka = a + b;
	
			System.out.println(count(inputAngka));
		}

	}

	public static int count(int a) {
		if (a < 10) {
			return 1;
		} else {
			return 1 + count(a / 10);
		}
	}

}