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.util.Scanner;

public class Main {
  public static void main(String[] args){
	Scanner s = new Scanner(System.in);
	int a , b , sum , valLen;

	while(s.hasNext()){
		String line = s.nextLine();
		String[] array = line.split(" ",0);
		a = Integer.parseInt(array[0]);
		b = Integer.parseInt(array[1]);
		sum = a + b;
		valLen = String.valueOf( sum ).length();
		System.out.println(valLen);
	}
  }
}