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Change project structure to a Maven Java project + Refactor (#2816)
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src/main/java/com/thealgorithms/searches/TernarySearch.java
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src/main/java/com/thealgorithms/searches/TernarySearch.java
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package com.thealgorithms.searches;
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import static java.lang.String.format;
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import java.util.Arrays;
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import java.util.Random;
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import java.util.stream.Stream;
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import com.thealgorithms.devutils.searches.SearchAlgorithm;
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/**
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* A ternary search algorithm is a technique in computer science for finding the
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* minimum or maximum of a unimodal function The algorithm determines either
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* that the minimum or maximum cannot be in the first third of the domain or
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* that it cannot be in the last third of the domain, then repeats on the
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* remaining third.
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*
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* <p>
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* Worst-case performance Θ(log3(N)) Best-case performance O(1) Average
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* performance Θ(log3(N)) Worst-case space complexity O(1)
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*
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* @author Podshivalov Nikita (https://github.com/nikitap492)
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* @see SearchAlgorithm
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* @see IterativeBinarySearch
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*/
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public class TernarySearch implements SearchAlgorithm {
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/**
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* @param arr The **Sorted** array in which we will search the element.
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* @param value The value that we want to search for.
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* @return The index of the element if found. Else returns -1.
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*/
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@Override
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public <T extends Comparable<T>> int find(T[] arr, T value) {
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return ternarySearch(arr, value, 0, arr.length - 1);
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}
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/**
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* @param arr The **Sorted** array in which we will search the element.
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* @param key The value that we want to search for.
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* @param start The starting index from which we will start Searching.
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* @param end The ending index till which we will Search.
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* @return Returns the index of the Element if found. Else returns -1.
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*/
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private <T extends Comparable<T>> int ternarySearch(T[] arr, T key, int start, int end) {
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if (start > end) {
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return -1;
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}
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/* First boundary: add 1/3 of length to start */
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int mid1 = start + (end - start) / 3;
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/* Second boundary: add 2/3 of length to start */
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int mid2 = start + 2 * (end - start) / 3;
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if (key.compareTo(arr[mid1]) == 0) {
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return mid1;
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} else if (key.compareTo(arr[mid2]) == 0) {
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return mid2;
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} /* Search the first (1/3) rd part of the array.*/ else if (key.compareTo(arr[mid1]) < 0) {
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return ternarySearch(arr, key, start, --mid1);
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} /* Search 3rd (1/3)rd part of the array */ else if (key.compareTo(arr[mid2]) > 0) {
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return ternarySearch(arr, key, ++mid2, end);
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} /* Search middle (1/3)rd part of the array */ else {
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return ternarySearch(arr, key, mid1, mid2);
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}
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}
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public static void main(String[] args) {
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// just generate data
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Random r = new Random();
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int size = 100;
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int maxElement = 100000;
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Integer[] integers
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= Stream.generate(() -> r.nextInt(maxElement)).limit(size).sorted().toArray(Integer[]::new);
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// the element that should be found
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Integer shouldBeFound = integers[r.nextInt(size - 1)];
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TernarySearch search = new TernarySearch();
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int atIndex = search.find(integers, shouldBeFound);
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System.out.println(
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format(
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"Should be found: %d. Found %d at index %d. An array length %d",
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shouldBeFound, integers[atIndex], atIndex, size));
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int toCheck = Arrays.binarySearch(integers, shouldBeFound);
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System.out.println(
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format(
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"Found by system method at an index: %d. Is equal: %b", toCheck, toCheck == atIndex));
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}
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}
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