Amazing Numbers Java Program

Welcome to the "Amazing Numbers" Java program readme! This program allows you to explore various properties of natural numbers, helping you discover interesting patterns and characteristics.

Overview

This Java program lets you interactively explore properties of natural numbers. You can perform the following actions using the program:

1. Enter a natural number to know its properties.
2. Enter two natural numbers to obtain the properties of a list of consecutive numbers:
   • The first parameter represents a starting number.
   • The second parameter indicates how many consecutive numbers should be processed.
3. Enter two natural numbers and specify properties to search for.
   • A property preceded by a minus sign ("-") must not be present in the numbers.
4. You can separate the parameters with a single space.
5. Enter 0 to exit the program.

Getting Started

1. Compile the Java program:

   javac Main.java

2. Run the program:

   java Main

Instructions

1. Upon running the program, you'll be presented with a list of supported requests and instructions.
2. Enter your request according to the guidelines provided.
3. The program will process your request and provide relevant information about the numbers.

Example Usages

1. Single Number Properties:

   • Enter a single natural number, and the program will display various properties of that number.

2. List of Consecutive Numbers:

   • Enter two natural numbers separated by a space. The first number is the starting point, and the second number indicates how many consecutive numbers should be processed. The program will display properties for each of these numbers.

3. Searching for Properties:

   • Enter two natural numbers followed by specific properties you're interested in. The program will provide numbers that match those properties.

Properties

The program provides information about the following properties of a number:

• even: Checks if the number is even.
• odd: Checks if the number is odd.
• buzz: Checks if the number is divisible by 7 or ends with 7.
• duck: Checks if the number contains the digit 0.
• palindromic: Checks if the number reads the same forwards and backwards.
• gapful: Checks if the number is "gapful," meaning it's divisible by a two-digit concatenation of its first and last digits.
• spy: Checks if the sum of the digits is equal to the product of the digits.
• square: Checks if the number is a perfect square.
• sunny: Checks if the number is followed by a perfect square.
• jumping: Checks if the digits alternate in an increasing or decreasing pattern.
• happy: Checks if the number is a "happy" number, meaning the sum of the squares of its digits eventually leads to 1.
• sad: The opposite of a happy number.

Exiting the Program

To exit the program, simply enter 0. The program will display a goodbye message and terminate.

Note

• The program uses regular expressions to validate input, so please follow the instructions precisely.
• The program employs recursion to check for "happy" and "sad" numbers.

Feel free to experiment and discover interesting properties of numbers using this "Amazing Numbers" Java program!