Opening and Closing Accounts File Account.java (see previous exercise) contains a definition for a simple bank account class with methods to withdraw, deposit, get the balance and account number, and return a String representation. Note that the constructor for this class creates a random account number. Save this class to your directory and study it to see how it works. Then write the following additional code: 1. Suppose the bank wants to keep track of how many accounts exist. a. Declare a private static integer variable numAccounts to hold this value. Like all instance and static variables, it will be initialized (to 0, since its an int) automatically. b. Add code to the constructor to increment this variable every time an account is created. c. Add a static method getNumAccounts that returns the total number of accounts. Think about why this method should be static - its information is not related to any particular account. d. File TestAccounts1.java contains a simple program that creates the specified number of bank accounts then uses the getNumAccounts method to find how many accounts were created. Save it to your directory, then use it to test your modified Account class. 2. Add a method void close() to your Account class. This method should close the current account by appending CLOSED to the account name and setting the balance to 0. (The account number should remain unchanged.) Also decrement the total number of accounts. 3. Add a static method Account consolidate(Account acct1, Account acct2) to your Account class that creates a new account whose balance is the sum of the balances in acct1 and acct2 and closes acct1 and acct2. The new account should be returned. Two important rules of consolidation: Only accounts with the same name can be consolidated. The new account gets the name on the old accounts but a new account number. Two accounts with the same number cannot be consolidated. Otherwise this would be an easy way to double your money! Check these conditions before creating the new account. If either condition fails, do not create the new account or close the old ones; print a useful message and return null. 4. Write a test program that prompts for and reads in three names and creates an account with an initial balance of $ 100 for each. Print the three accounts, then close the first account and try to consolidate the second and third into a new account. Now print the accounts again, including the consolidated one if it was created.