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.*;
/*
Main class for AOJ where there is no input.
*/
public class Main{
   public static void main(String[] args){
      Scanner sc = new Scanner(System.in);
      String str;
      String[] arr;
      
      while(sc.hasNext()){
         str = sc.nextLine();
         arr = str.split(" ");
         int a = Integer.parseInt(arr[0]);
         int b = Integer.parseInt(arr[1]);
      
         System.out.println((int)Math.log10(a+b)+1);
      }
   }//main
}//class