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){
		Scanner in = new Scanner(System.in);
		int a, b, sum;
		int digit = 1;
		while(in.hasNextInt()){
			a = in.nextInt();
			if(in.hasNextInt()){
				b = in.nextInt();
			}else{
				break;
			}
			sum = a+b;
			while(sum>=10){
				sum /= 10;
				digit++;
			}
			System.out.println(digit);
			digit = 1;
		}
    }
}