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 sc = new Scanner(System.in);
		int a, b;
		while(sc.hasNextInt()) {
			a = sc.nextInt();
			b = sc.nextInt();
			System.out.println(numOfDigit(a+b));
		}
		sc.close();
	}
	
	static int numOfDigit(int n) {
		return (int) Math.log10(n) + 1;
	}
}