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.*;

class Main {
	public static void main (String [] args){
		ansPrint();	
	}

	static int digits(int n){
		return Integer.toString(n).length();
	}

	static void ansPrint(){
		Scanner sc = new Scanner(System.in);
		int a, b, sum;
		while(sc.hasNextInt()){
			a = sc.nextInt();
			b = sc.nextInt();
			sum = a + b;
			System.out.println(digits(sum));
		}
	}
}