Read all the instructions carefully and write this program in java. I am a very begineer in java. Please donot use break statements in this program and please add comments so i can understand your code

This problem is based on chapter 10 information. You have N mailboxes in a row. I want you to make this number entered by the user. These mailboxes will be represented in an array. Each mailbox has only two states open or closed. So make this an array of Boolean, true = closed, false = open. Start with all mailboxes closed. In a loop, begin with mailbox #2 (remember this is index 1 in the list) and open it and every 2^nd mailbox. Now starting with mailbox 3, and continuing every 3^rd mailbox we will open it if it is closed and close it if it is opened. Go to the fourth and reverse the status of every fourth mailbox the same way. Continue opening and closing mailboxes every 5^th, every 6^th, etc until we get to where we are starting at mailbox N (the last one). Report all the mailboxes that are closed after we finish our procedure. Do not report the open ones. You should see a recognizable pattern with the few that remain closed. (I should be able to test any integer value and have it work correctly.)

Sketch it out first to see what should happen.

If user enters 5:

Initial state: closed closed closed closed closed (all closed)

Every 2^nd: closed open closed open closed (all divisible by 2 get reversed)

Every 3^rd: closed open open open closed (all divisible by 3 get reversed)

Every 4^th: closed open open closed closed (all divisible by 4 get reversed)

Every 5^th: closed open open closed open (all divisible by 5 get reversed, 1 and 4 are still closed)

Output Example (User input is marked with >>>. Everything else is what you print to the screen.)

This program will close and open mailboxes in a fixed pattern. How many mailboxes would you like to see?

>>> 5

The following mailboxes are still closed at the end of the program: 1 4