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.ArrayList;
import java.util.List;
import java.util.Scanner;
import java.util.StringTokenizer;

class Main {
	public static void main(String[] args) throws NumberFormatException, IOException {
		InputStreamReader isr = new InputStreamReader(System.in);
		BufferedReader br = new BufferedReader(isr);
		String line = null;
		List<Integer> results = new ArrayList<Integer>();
		
		while ((line = br.readLine()) != null) {
			StringTokenizer st = new StringTokenizer(line);
			if (!st.hasMoreTokens()) break;
			
			int a = Integer.parseInt(st.nextToken());
			int b = Integer.parseInt(st.nextToken());
			
			results.add(Integer.toString(a + b).length());
		}
		
		for (int x : results) {
			System.out.println(x);
		}
	}
}