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.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;

class Main{
    public static void main(String[] a)throws IOException{
    	BufferedReader in = new BufferedReader(new InputStreamReader(System.in));
 		String str = null;
 		String[] strList = new String[2];

 		while((str = in.readLine()) != null){                    
            strList = str.split(" ");

            int sum = Integer.parseInt(strList[0])+Integer.parseInt(strList[1]);

            System.out.println(String.valueOf(sum).length());
	    }
    }
}