Write a complete JAVA program to do the following:

(a) Write a method called readData() which receives one parameter, an array of integers called vals, which is initially uninitialized. The method reads integers from an input file until it reaches EOF, storing the data values in the array vals. The method prints the data values read in and the count to an output file. The method returns the total number of data values read in.

(b) Write a method called countZeros() which receives two parameters, an integer n and an array vals. The method counts and returns how many of the first n elements of the vals array are 0.

For example, if the array holds 66 0 -4 0 4 31 with n = 6, it has two 0 values.

(c) Write a method called append() which reads in several new values into an array, appending them at the end of the array. As a result, it must change both the array and the value of n. The method receives the same two parameters as countZeros(). The method returns the new total number of data values stored within the array.

For example, Assume the array initially holds 66 0 -4 0 4 31 with n = 6; after the method call, the array might hold 66 0 -4 0 4 31 22 0 49 with n = 9. (Make sure that several new 0 values are added to the array.)

(d) Write a main program which calls these methods. First, the main program calls readData() to read a set of data into an array called numbers, which contains no more than 100 integers. The number of elements actually read is returned by the method and stored in a variable called size. Then the main program calls the method countZeros() to find how many of the size array elements are 0. The main program prints this value to the output file. Next, the main program calls append() to modify the numbers array and n. The append() method reads in new values from a file until input failure, adding the new values to the array and incrementing n. The new values in the array and new total count are printed (in either the main program or the method) to the output file. Finally, the main program calls the function countZeros() again to determine how many elements in the new array are 0 and prints the result to the output file.