Write a check() method that calls sort() for a given array and returns true if sort() puts the array in order and leaves the same set of objects in the array as were there initially, false otherwise. Do not assume that sort() is restricted to move data only with exch(). You may use Arrays.sort() and assume that it is correct.

Devise an algorithm that detects whether a given array is sorted into ascending order. Write a Java method thatimplements your algorithm. You can use your method to test whether a sort method has executed correctly. Ensure that your program has a test class

Now that we have written merge methods for merging two and three arrays at the same time, let’s write a merge method that can take any number of sorted arrays and merge them all into one sorted array. This method will take an array of integer arrays as input and return one integer array as output. The implementation of this method should not use calls to any other methods.       public static int[] mergeAll(int[][] arrays) {         return new int[] {-1};     }   *must be in this format and done in java please

Implement getArrayElmsInRange Method Details: getArrayElemsInRange public static int[] getArrayElemsInRange​(int[] array, int lower, int upper) Returns an array with values in the range defined by lower (inclusive) and upper (inclusive). Feel free to use the getCountInRange method during the implementation of this method (See below). Parameters: array - integer array lower - lower limit upper - upper limit Returns: array with values in the range or empty array Throws: java.lang.IllegalArgumentException - if array is null or lower is greater than upper. Any error message is fine (e.g., "Invalid parameters(s)") getCountInRange Method: class Main {             // this function will return the number elements in the given range             public static int getCountInRange(int[] array, int lower, int upper)             {                         int count = 0; // to count the numbers                         // this loop will count the numbers in the range                         for (int i…