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: Time Limit Exceeded)

import java.io.*;

public class Main{
  public static void main(String[] args) throws Exception{
        BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
        String line=br.readLine();
        while(line!=null){
        	String[] array=line.split(" ");
        	int a=Integer.parseInt(array[0]);
        	int b=Integer.parseInt(array[1]);
        	System.out.println(String.valueOf(a+b).length());
        }
    }
}