refactor: BoyerMoore
(#5395)
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/* this Code is the illustration of Boyer moore's voting algorithm to
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find the majority element is an array that appears more than n/2 times in an array
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where "n" is the length of the array.
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For more information on the algorithm refer
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https://en.wikipedia.org/wiki/Boyer%E2%80%93Moore_majority_vote_algorithm
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*/
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package com.thealgorithms.others;
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import java.util.Optional;
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/**
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* Utility class implementing Boyer-Moore's Voting Algorithm to find the majority element
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* in an array. The majority element is defined as the element that appears more than n/2 times
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* in the array, where n is the length of the array.
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*
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* For more information on the algorithm, refer to:
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* https://en.wikipedia.org/wiki/Boyer%E2%80%93Moore_majority_vote_algorithm
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*/
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public final class BoyerMoore {
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private BoyerMoore() {
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}
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public static Optional<Integer> findMajor(final int[] a) {
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final var candidate = findCandidate(a);
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final var count = countOccurrences(candidate, a);
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if (isMajority(count, a.length)) {
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/**
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* Finds the majority element in the given array if it exists.
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*
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* @param array the input array
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* @return an Optional containing the majority element if it exists, otherwise an empty Optional
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*/
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public static Optional<Integer> findMajorityElement(int[] array) {
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if (array == null || array.length == 0) {
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return Optional.empty();
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}
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int candidate = findCandidate(array);
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int count = countOccurrences(candidate, array);
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if (isMajority(count, array.length)) {
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return Optional.of(candidate);
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}
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return Optional.empty();
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}
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private static int findCandidate(final int[] a) {
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/**
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* Identifies the potential majority candidate using Boyer-Moore's Voting Algorithm.
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*
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* @param array the input array
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* @return the candidate for the majority element
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*/
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private static int findCandidate(final int[] array) {
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int count = 0;
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int candidate = -1;
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for (final var k : a) {
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for (int value : array) {
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if (count == 0) {
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candidate = k;
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count = 1;
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} else {
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if (k == candidate) {
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count++;
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} else {
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count--;
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}
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candidate = value;
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}
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count += (value == candidate) ? 1 : -1;
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}
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return candidate;
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}
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private static int countOccurrences(final int candidate, final int[] a) {
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/**
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* Counts the occurrences of the candidate element in the array.
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*
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* @param candidate the candidate element
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* @param array the input array
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* @return the number of times the candidate appears in the array
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*/
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private static int countOccurrences(final int candidate, final int[] array) {
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int count = 0;
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for (final var j : a) {
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if (j == candidate) {
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for (int value : array) {
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if (value == candidate) {
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count++;
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}
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}
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return count;
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}
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private static boolean isMajority(final int count, final int totalCount) {
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/**
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* Determines if the count of the candidate element is more than n/2, where n is the length of the array.
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*
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* @param count the number of occurrences of the candidate
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* @param totalCount the total number of elements in the array
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* @return true if the candidate is the majority element, false otherwise
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*/
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private static boolean isMajority(int count, int totalCount) {
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return 2 * count > totalCount;
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}
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}
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@ -11,7 +11,7 @@ public class BoyerMooreTest {
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@ParameterizedTest
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@MethodSource("inputStreamWithExistingMajority")
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void checkWhenMajorityExists(int expected, int[] input) {
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Assertions.assertEquals(expected, BoyerMoore.findMajor(input).get());
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Assertions.assertEquals(expected, BoyerMoore.findMajorityElement(input).get());
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}
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private static Stream<Arguments> inputStreamWithExistingMajority() {
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@ -21,7 +21,7 @@ public class BoyerMooreTest {
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@ParameterizedTest
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@MethodSource("inputStreamWithoutMajority")
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void checkWhenMajorityExists(int[] input) {
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Assertions.assertFalse(BoyerMoore.findMajor(input).isPresent());
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Assertions.assertFalse(BoyerMoore.findMajorityElement(input).isPresent());
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}
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private static Stream<Arguments> inputStreamWithoutMajority() {
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