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.util.*;

class Main{
 public static void main(String[] args){
  Scanner s = new Scanner(System.in);

  int a,b;

 a=s.nextInt();
 b=s.nextInt();
 a=a+b;

 String c = String.valueOf(a);

 System.out.println(c.length());
 }
}