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 stdin = new Scanner(System.in);

	while(stdin.hasNextInt()){
	    int i = stdin.nextInt() + stdin.nextInt();
	    int count = 0;
	    while(i != 0){
		count++;
		i /= 10;
	    }
	    System.out.println(count);
	}
    }
}