# Trying Figure Get Code Work Question Download File Implementing Algorithm Given Unordered Q24891622

Been trying to figure out to get this code to work!Question:

Download this file in which you will be implementing analgorithm which, given an unordered List, takes onlyO(n) time to return it’s nthsmallest element. The easiest (and most natural) way to implementthis algorithm is to use recursion. To receive credit, youmust implement the following (recursive) algorithm:

Integer getItemInOrder(al, left, right, sizeRanking) { pivotIndex ⇐ partialOrder(al, left, right) // Partially order the elements between left and right // The pivot is in its final sorted position if sizeRanking = pivotIndex return the element in al at index sizeRanking // Solution found! else if sizeRanking < pivotIndex return getItemInOrder(al, left, pivotIndex – 1, sizeRanking) // The pivot was too large, so recurse with the smaller values else return getItemInOrder(al, pivotIndex + 1, right, sizeRanking) // The pivot was too small, so recurse with larger values end if

Complete the upper getItemInOrder method so that itstarts the recursion (serves as the public method hiding therecursion).

Code Given:

package edu.buffalo.cse116;import java.util.ArrayList;public class OrderedItem { /** * Finds the item at the given ranking (from smallest to largest) in the array list WITHOUT sorting the data. This * process is best done using recursion. * * @param al The ArrayList of unordered data from which we will select the nth largest * @param sizeRanking Ranking of the item to be selected. When {@code sizeRanking} is 0, the method needs to return * the smallest item in {@code al}; if {@code sizeRanking} is {@code al.size() – 1}, the largest item is * returned. * @return The {@code sizeRanking}-th smallest item from the array list. */ public static int getItemInOrder(ArrayList<Integer> al, int sizeRanking) { // You can just assume that sizeRanking is between 0 and al.size()-1 (inclusive) } /** * Finds the item at the given ranking (from smallest to largest) in the array list WITHOUT sorting the data. It will * do this by only considering the ArrayList elements at the indices between left and right. Each recursion halves the * number of elements under consideration. * * @param al ArrayList of unordered data to be examined * @param left First index of data which is in consideration * @param right Last index of data which is in consideration * @param sizeRanking Ranking of the item to be selected. When {@code sizeRanking} is 0, the method needs to return * the smallest item in {@code al}; if {@code sizeRanking} is {@code al.size() – 1}, the largest item is * returned. * @return The {@code sizeRanking}-th smallest item from the array list. */ private static int getItemInOrder(ArrayList<Integer> al, int left, int right, int sizeRanking) { // You can just assume that sizeRanking is between 0 and al.size()-1 (inclusive) } /** * This is a helper method which partially orders the array list into left and right parts. The left part of the array * list will contain all of the values smaller than the element initially midway through the range between left and * right. The right part of the array list will contain all of the larger elements. * * @param al ArrayList of data which will be partitioned * @param left Leftmost index to be included in the partition * @param right Rightmost index to be included in the partition * @return The index at which the element originally at pivotIdx ends up. */ private static int partialOrder(ArrayList<Integer> al, int left, int right) { int pivotIdx = (left + right) / 2; int pivot = al.get(pivotIdx); al.set(pivotIdx, al.get(right)); al.set(right, pivot); int storeIdx = left; for (int i = left; i < right; i++ ) { if (al.get(i) < pivot) { int temp = al.get(storeIdx); al.set(storeIdx, al.get(i)); al.set(i, temp); storeIdx += 1; } } al.set(right, al.get(storeIdx)); al.set(storeIdx, pivot); return storeIdx; }}

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