USE JAVA Write the merge sort method recursively. use recursive method to perform merge sort.
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USE JAVA
Write the merge sort method recursively. use recursive method to perform merge
sort.
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- // MergeSortTest.java// Sorting an array with merge sort.import java.security.SecureRandom;import java.util.Arrays; public class MergeSortTest { // calls recursive sortArray method to begin merge sorting public static void mergeSort(int[] data) { sortArray(data, 0, data.length - 1); // sort entire array } // splits array, sorts subarrays and merges subarrays into sorted array private static void sortArray(int[] data, int low, int high) { // test base case; size of array equals 1 if ((high - low) >= 1) { // if not base case int middle1 = (low + high) / 2; // calculate middle of array int middle2 = middle1 + 1; // calculate next element over // split array in half; sort each half (recursive calls) sortArray(data, low, middle1); // first half of array sortArray(data, middle2, high); // second half of array // merge two sorted arrays after split calls…(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.Alert dont submit AI generated answer.
- Complete largest_at_position with the help of longest_chain. Can't use recursion, or any importsSuppose the following array were passed in to a mergesort algorithm: 42 39 87 21 56 93 43 35 and Draw what the array looks like after the first recursive call completes, then after the second recursive call (immediately before the final call to merge).fill out the python code
- Java: Write a program to find the number of comparison using sequentialSearch and binarySearch algorithms using an array of 1200 elements. Use a random number generator to fill list by using a sorting algorithm to sort list and search list for the binary search algorithm to search list. Use the sequential search algorithm to search list and print the number of comparisons. If the item is found in the list, print its position. public class SearchSortAlgorithms<T> implements SearchSortADT<T>{private int comparisons;public int noOfComparisons(){return comparisons;}public void initializeNoOfComparisons(){comparisons = 0; }public int seqSearch(T[] list, int start, int length, T searchItem){int loc;boolean found = false;for (loc = start; loc < length; loc++){if (list[loc].equals(searchItem)){found = true;break;}}if (found)return loc;elsereturn -1;}public int binarySearch(T[] list, int start, int length, T searchItem){int first = start;int last = length - 1;int mid = -1;boolean…A merge sort is used to sort an array of 1000 test scores in descending order. Which of the following statements is true?a) The sort is fastest if the original test scores are sorted from smallest to largestb) The sort is fastest if the original test scores are in completely sorted order.c) The sort is fastest if the original test scores are sorted from largest to smallest.d) The sort is the same, no matter what the order of the original elements.Write the details algorithm and convert into java code for the solution of the following problem In this assignment, you are given a following table. You implement the table as an ADT by following methods. 1- Array based implementation 2- Reference based implementation 3- Binary search tree-based implementation You implement following TABLE ADT operations a) Insert a new item into a table b) Delete the item with a given search key from a table c) Retrieve the item with a given search key from a table City Country Population Athens Greece 2,500,000 Barcelona Spain 1,800,000 Cairo Egypt 9,500,000 London England 9,400,000 New York U.S.A. 7,300,000 Paris France 2,200,000 Rome Italy 2,800,000 Toronto Canada 3,200,000 Venice Italy 300,000