1) Develop a Java application that plays a "guess the number" game as described below.

a) Your application first gets a random number in the range 1-1000 inclusive (you might want to use Math.random or the Random class). 

b) The application then displays the following prompt (probably via a JLabel):

I have a number between 1 and 1000. Can you guess my number?
Please enter your first guess.

Post a textbox for the user to enter a number and post a message telling the user to hit 'Enter' after entering a guess in a textbox (probably using a JTextField). 

c) Input the user's guess in the code for a previously-registered event-handler method (consider using the event-handling approach discussed in the text, or the actionPerformed method of class based on the ActionListener interface, which will require some additional research outside the text).

d) For the first guess color the entire background red, meaning that they are getting warmer (you might want to use the setBackground method for a container). If this is the second or later guess, and they are further from the correct number than the last guess, then color the entire background blue. If they get the correct number then color the background some other color than red or blue.

e) If the user guessed the number correctly, respond with their number, post a congratulatory message, get a new random number, and display a JButton to start a new game. Otherwise, to help the user close in on the correct number, post a message, with their guessed number, whether they are "TOO HIGH" or "TOO LOW" from the correct number, and whether they are "WARMER" or "COLDER" (this should match the background color). Also report the guess number of the next guess (e.g. "Enter guess number nnn"). You might want to use a concatenated string in JLabel for these incorrect guess messages. 

f) The process is repeated each game until the user guesses the correct number. Be sure that you erase obsolete status messages.

You must run your program for a scenario where the number is not guessed correctly for at least 4 (four) tries (it can be more). A game where you guess the correct number on the fourth try is acceptable. You must show all user inputs and program outputs for this scenario, not just a sample.

Your submitted output must include the appropriate red or blue background after each guess. 

You must include at least one "warmer" and one "cooler" result.