Programming Challenges 491 10. Lottery Application Write a Lottery class that simulates a lottery. The class should have an array of five integers named lottery umbers. The constructor should use the Random class (from the Java API to generate a random number in the range of 0 through 9 for each element in the array. The class should also have a method that accepts an array of five integers that represent a per- son's lottery picks. The method is to compare the corresponding elements in the two arrays and return the number of digits that match. For example, the following shows the lotteryliunbere array and the user's array with sample numbers stored in each. There are two matching digits (elements 2 and 4). lotterytumbers array: User's array: In addition, the class should have a method that returns a copy of the lotterylunbers array Demonstrate the class in a program that asks the user to enter five numbers. The program should display the number of digits that match the randomly generated lottery numbers. If all of the digits match, display a message proclaiming the user a grand prize winner. 11. Array Operations