java programming

1. Input 10 integers from the keyboard and store them into an array, write a program to satisfy the following requirements: (10') (1). Provide a Mathematics Class which has 3 static methods: (5') I. Prototype: public static int add(int// array) Sum the items in an array, and the return keeps the result. II. Prototype: public static void sortArray(int// array, boolean flag) Sort the items in an array by the flag: if the flag is true, sort the array in an ascending order; if the flag is false, sort the array in a descending order. III. Prototype: public static void printArray(int// array, boolean flag) Print the items in an array by the flag: if the flag is true, print the items in the array in a positive sequence; if the flag is false, print the items in the array in a reverse order. (2). Output the data in the array in the reverse order; (1') (3). Sort the data in the array in the ascending order; (1') (4). Calculate the sum and the average of these integers. (1') (5). Requirements of (2) (4) must use the static methods defined in class Mathematics to demonstrate their functions. (2')