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;

class Main {
	public static void main(String[] args){
		try(Scanner sc = new Scanner(System.in)){
			while(sc.hasNextInt()){
				int a=Integer.parseInt(sc.next());
				int b=Integer.parseInt(sc.next());
				int digit = 1;
				int n=0;
				while((a+b)>=digit){
					digit=digit*10;
					n++;
				}
				System.out.println(n);
				
			}
		}
	}
}