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 C# (judge verdict: Accepted)

using System;

class main {
  static void Main(){
    string str;
    while(true){
      str = Console.ReadLine();
      if(str == null) break;
      string[] strs = str.Split();
      Console.WriteLine(
        (
          Convert.ToInt32(strs[0]) + Convert.ToInt32(strs[1])
        ).ToString().Length
      );
    }
  }
}