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: Wrong Answer)

import java.io.*;
import java.util.*;
public class Main{
 public static void main(String args[])throws IOException{
  BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
  String str=br.readLine();
  while(str!=null){
   StringTokenizer st=new StringTokenizer(str);
   int i=Integer.parseInt(st.nextToken());
   int j=Integer.parseInt(st.nextToken());
   System.out.println(String.valueOf(i*j).length());
   str=br.readLine();
  }
 }
}