From 135fb08224046de3d607391c89e37287b6f9e41a Mon Sep 17 00:00:00 2001 From: Hardik Pawar <97388607+Hardvan@users.noreply.github.com> Date: Sat, 26 Oct 2024 00:53:20 +0530 Subject: [PATCH] Add `EgyptianFraction` algorithm (#5804) --- DIRECTORY.md | 9 +++++ .../greedyalgorithms/EgyptianFraction.java | 35 +++++++++++++++++++ .../EgyptianFractionTest.java | 22 ++++++++++++ 3 files changed, 66 insertions(+) create mode 100644 src/main/java/com/thealgorithms/greedyalgorithms/EgyptianFraction.java create mode 100644 src/test/java/com/thealgorithms/greedyalgorithms/EgyptianFractionTest.java diff --git a/DIRECTORY.md b/DIRECTORY.md index 744e16db8..98fbec625 100644 --- a/DIRECTORY.md +++ b/DIRECTORY.md @@ -321,6 +321,7 @@ * [BinaryAddition](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/greedyalgorithms/BinaryAddition.java) * [CoinChange](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/greedyalgorithms/CoinChange.java) * [DigitSeparation](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/greedyalgorithms/DigitSeparation.java) + * [EgyptianFraction](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/greedyalgorithms/EgyptianFraction.java) * [FractionalKnapsack](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/greedyalgorithms/FractionalKnapsack.java) * [GaleShapley](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/greedyalgorithms/GaleShapley.java) * [JobSequencing](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/greedyalgorithms/JobSequencing.java) @@ -351,6 +352,7 @@ * [BinaryPow](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/maths/BinaryPow.java) * [BinomialCoefficient](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/maths/BinomialCoefficient.java) * [Ceil](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/maths/Ceil.java) + * [ChineseRemainderTheorem](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/maths/ChineseRemainderTheorem.java) * [CircularConvolutionFFT](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/maths/CircularConvolutionFFT.java) * [CollatzConjecture](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/maths/CollatzConjecture.java) * [Combinations](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/maths/Combinations.java) @@ -568,6 +570,8 @@ * [TernarySearch](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/searches/TernarySearch.java) * [UnionFind](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/searches/UnionFind.java) * [UpperBound](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/searches/UpperBound.java) + * slidingwindow + * [MaxSumKSizeSubarray](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/slidingwindow/MaxSumKSizeSubarray.java) * sorts * [AdaptiveMergeSort](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/sorts/AdaptiveMergeSort.java) * [BeadSort](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/sorts/BeadSort.java) @@ -826,6 +830,7 @@ * [HashMapCuckooHashingTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/datastructures/hashmap/HashMapCuckooHashingTest.java) * heaps * [FibonacciHeapTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/datastructures/heaps/FibonacciHeapTest.java) + * [GenericHeapTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/datastructures/heaps/GenericHeapTest.java) * [LeftistHeapTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/datastructures/heaps/LeftistHeapTest.java) * lists * [CircleLinkedListTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/datastructures/lists/CircleLinkedListTest.java) @@ -942,6 +947,7 @@ * [BinaryAdditionTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/greedyalgorithms/BinaryAdditionTest.java) * [CoinChangeTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/greedyalgorithms/CoinChangeTest.java) * [DigitSeparationTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/greedyalgorithms/DigitSeparationTest.java) + * [EgyptianFractionTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/greedyalgorithms/EgyptianFractionTest.java) * [FractionalKnapsackTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/greedyalgorithms/FractionalKnapsackTest.java) * [GaleShapleyTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/greedyalgorithms/GaleShapleyTest.java) * [JobSequencingTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/greedyalgorithms/JobSequencingTest.java) @@ -969,6 +975,7 @@ * [BinaryPowTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/maths/BinaryPowTest.java) * [BinomialCoefficientTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/maths/BinomialCoefficientTest.java) * [CeilTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/maths/CeilTest.java) + * [ChineseRemainderTheoremTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/maths/ChineseRemainderTheoremTest.java) * [CollatzConjectureTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/maths/CollatzConjectureTest.java) * [CombinationsTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/maths/CombinationsTest.java) * [ConvolutionFFTTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/maths/ConvolutionFFTTest.java) @@ -1155,6 +1162,8 @@ * [TestSearchInARowAndColWiseSortedMatrix](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/searches/TestSearchInARowAndColWiseSortedMatrix.java) * [UnionFindTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/searches/UnionFindTest.java) * [UpperBoundTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/searches/UpperBoundTest.java) + * slidingwindow + * [MaxSumKSizeSubarrayTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/slidingwindow/MaxSumKSizeSubarrayTest.java) * sorts * [AdaptiveMergeSortTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/sorts/AdaptiveMergeSortTest.java) * [BeadSortTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/sorts/BeadSortTest.java) diff --git a/src/main/java/com/thealgorithms/greedyalgorithms/EgyptianFraction.java b/src/main/java/com/thealgorithms/greedyalgorithms/EgyptianFraction.java new file mode 100644 index 000000000..35cbfe876 --- /dev/null +++ b/src/main/java/com/thealgorithms/greedyalgorithms/EgyptianFraction.java @@ -0,0 +1,35 @@ +package com.thealgorithms.greedyalgorithms; + +import java.util.ArrayList; +import java.util.List; + +/** + * Class to represent a fraction as a sum of unique unit fractions. + * Example: + * 2/3 = 1/2 + 1/6 + * 3/10 = 1/4 + 1/20 + * + * @author Hardvan + */ +public final class EgyptianFraction { + private EgyptianFraction() { + } + + /** + * Calculates the Egyptian Fraction representation of a given fraction. + * + * @param numerator the numerator of the fraction + * @param denominator the denominator of the fraction + * @return List of unit fractions represented as strings "1/x" + */ + public static List getEgyptianFraction(int numerator, int denominator) { + List result = new ArrayList<>(); + while (numerator != 0) { + int x = (int) Math.ceil((double) denominator / numerator); + result.add("1/" + x); + numerator = numerator * x - denominator; + denominator = denominator * x; + } + return result; + } +} diff --git a/src/test/java/com/thealgorithms/greedyalgorithms/EgyptianFractionTest.java b/src/test/java/com/thealgorithms/greedyalgorithms/EgyptianFractionTest.java new file mode 100644 index 000000000..1d34876de --- /dev/null +++ b/src/test/java/com/thealgorithms/greedyalgorithms/EgyptianFractionTest.java @@ -0,0 +1,22 @@ +package com.thealgorithms.greedyalgorithms; + +import static org.junit.jupiter.api.Assertions.assertEquals; + +import java.util.List; +import java.util.stream.Stream; +import org.junit.jupiter.params.ParameterizedTest; +import org.junit.jupiter.params.provider.Arguments; +import org.junit.jupiter.params.provider.MethodSource; + +public class EgyptianFractionTest { + + @ParameterizedTest + @MethodSource("fractionProvider") + public void testGetEgyptianFraction(int numerator, int denominator, List expected) { + assertEquals(expected, EgyptianFraction.getEgyptianFraction(numerator, denominator)); + } + + private static Stream fractionProvider() { + return Stream.of(Arguments.of(2, 3, List.of("1/2", "1/6")), Arguments.of(3, 10, List.of("1/4", "1/20")), Arguments.of(1, 3, List.of("1/3")), Arguments.of(1, 2, List.of("1/2")), Arguments.of(4, 13, List.of("1/4", "1/18", "1/468"))); + } +}