Write and implement a recursive version of the binary search algorithm. Also, write a version of the sequential search algorithm that can be applied to sorted lists. Add this operation to the class orderedArrayListType for array-based lists. Moreover, write a test program to test your algorithm.
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- Implement a recursive function void deleteMax() on the IntList class (provided). The function will delete from the IntList the IntNode containing the largest value. If there are multiple nodes containing this largest value, only delete the 1st one. Be careful not to cause any memory leaks or dangling pointers. You may NOT use any kind of loop (must use recursion). You may NOT use global or static variables. You may NOT use any standard library functions. Ex: list: 5->7->1->16->4->16->3 list.deleteMax(); list: 5->7->1->4->16->3 IntList.h #ifndef __INTLIST_H__#define __INTLIST_H__ #include <ostream> using namespace std; struct IntNode {int value;IntNode *next;IntNode(int value) : value(value), next(nullptr) {}}; class IntList { private:IntNode *head; public: /* Initializes an empty list.*/IntList() : head(nullptr) {} /* Inserts a data value to the front of the list.*/void push_front(int val) {if (!head) {head = new IntNode(val);} else {IntNode…Write a recursive function that finds the minimum value in an ArrayList. Your function signature should be public static int findMinimum(ArrayList<Integer>) One way to think of finding a minimum recursively is to think “the minimum number is either the last element in the ArrayList, or the minimum value in the rest of the ArrayList”. For example, if you have the ArrayList [1, 3, 2, 567, 23, 45, 9], the minimum value in this ArrayList is either 9 or the minimum value in [1, 3, 2, 567, 23, 45] Hint:The trick is to remove the last element each time to make the ArrayList a little shorter. import java.util.*; public class RecursiveMin{public static void main(String[] args){Scanner input = new Scanner(System.in);ArrayList<Integer> numbers = new ArrayList<Integer>();while (true){System.out.println("Please enter numbers. Enter -1 to quit: ");int number = input.nextInt();if (number == -1){break;}else {numbers.add(number);}} int minimum =…Write a recursive function that finds the minimum value in an ArrayList. Your function signature should be public static int findMinimum(ArrayList<Integer>) One way to think of finding a minimum recursively is to think “the minimum number is either the last element in the ArrayList, or the minimum value in the rest of the ArrayList”. For example, if you have the ArrayList [1, 3, 2, 567, 23, 45, 9], the minimum value in this ArrayList is either 9 or the minimum value in [1, 3, 2, 567, 23, 45] ================================================ import java.util.*; public class RecursiveMin{public static void main(String[] args){Scanner input = new Scanner(System.in);ArrayList<Integer> numbers = new ArrayList<Integer>();while (true){System.out.println("Please enter numbers. Enter -1 to quit: ");int number = input.nextInt();if (number == -1){break;}else {numbers.add(number);}} int minimum = findMinimum(numbers);System.out.println("Minimum: " + minimum);}public static int…
- Suppose that intArray is an array of integers, and length specifies the number of elements in intArray. Also, suppose that low and high are two integers such that 0 <= low < length, 0 <= high < length, and low < high. That is, low and high are two indices in intArray. Write a recursive definition that reverses the elements in intArray between low and high.Use the right loop for the right assignment, using all the follow- ing loops: for, while without hasNext(), while with hasNext() and do-while. So I cannot use array. it has to be done in java.(a) Write a method public static void insert(int[] a, int n, int x) that inserts x in order among the first n elements of a, assuming these elements are arranged in ascending order. Do NOT use arraylists. x is the last element in a. n does not include x. (b) Using the insert method from Part (a), write a recursive implementation of Insertion Sort.
- You are given an array-like data structure Listy which lacks a size method. It does, however, have an elementAt ( i) method that returns the element at index i in 0( 1) time. If i is beyond the bounds of the data structure, it returns -1. (For this reason, the data structure only supports positive integers.) Given a Listy which contains sorted, positive integers, find the index at which an element x occurs. If x occurs multiple times, you may return any index. Write code with explanationDesign and implement an insertSorted() method for the MyArrayList class. The method should receive a single object and insert it in its correct position. You can assume that the calling array is already in a sorted order. The calling array is therefore updated. Follow the three step method for designing the method. Develop the java code for the method. Create a test program to test the method thoroughly using the Integer wrapper class.Implement a list of employees using a dynamic array of strings.Your solution should include functions for printing list, inserting and removingemployees, and sorting lists (use Bubble sort in C++ language).Keep list of employees sorted within the list after insertion.See the following example:How many employees do you expect to have?5 (Carriage Return)Menu :1 . Print full list of employees2 . Insert new employee3 . Remove employee from list0 . Exit2 (Carriage Return)Input name of new employee : MikeMenu :1 . Print full list of employees2 . Insert new employee3 . Remove employee from list0 . Exit1(Carriage Return)1 . MaryMenu :1 . Print full list of employees2 . Insert new employee3 . Remove employee from list0 . Exit
- It is not desirable to use a static array like aux[] in library software since numerous clients may be using the class at once. Give a Merge implementation that doesn't depend on a static array. Do not localise aux[] to combine()Hint: Pass the auxiliary array to the recursive sort() function as an argument.Write a java method to search for an element in an array using a linear search. Many list processing tasks, including searching, can be done recursively. The base case typically involves doing something with a limited number of elements in the list (say the first element), then the recursive step involves doing the task on the rest of the list. Think about how linear search can be viewed recursively; if you are looking for an item in a list starting at index i:o ¬If i exceeds the last index in the list, the item is not found (return -1).o ¬If the item is at list[i], return i.o ¬If the is not at list[i], do a linear search starting at index i+1Implement quicksort in a JAVA programming language. The first version will use the first element of the array as the pivot. Please help me with a Java code , It needs to take the input from a file of 100 data elements. Can someone please help me with this coding problem. I have the data set file , but I cannot upload it in here. Kindly help me with the code.