diff --git a/algorithms-miscellaneous-1/pom.xml b/algorithms-miscellaneous-1/pom.xml index fe670963c0..30130208f8 100644 --- a/algorithms-miscellaneous-1/pom.xml +++ b/algorithms-miscellaneous-1/pom.xml @@ -39,6 +39,11 @@ ${org.assertj.core.version} test + + com.github.dpaukov + combinatoricslib3 + 3.3.0 + @@ -77,7 +82,7 @@ 3.6.1 3.9.0 1.11 - 25.1-jre + 27.0.1-jre \ No newline at end of file diff --git a/algorithms-miscellaneous-1/src/main/java/com/baeldung/algorithms/combination/ApacheCommonsCombinationGenerator.java b/algorithms-miscellaneous-1/src/main/java/com/baeldung/algorithms/combination/ApacheCommonsCombinationGenerator.java new file mode 100644 index 0000000000..40142ce940 --- /dev/null +++ b/algorithms-miscellaneous-1/src/main/java/com/baeldung/algorithms/combination/ApacheCommonsCombinationGenerator.java @@ -0,0 +1,29 @@ +package com.baeldung.algorithms.combination; + +import java.util.Arrays; +import java.util.Iterator; + +import org.apache.commons.math3.util.CombinatoricsUtils; + +public class ApacheCommonsCombinationGenerator { + + private static final int N = 6; + private static final int R = 3; + + /** + * Print all combinations of r elements from a set + * @param n - number of elements in set + * @param r - number of elements in selection + */ + public static void generate(int n, int r) { + Iterator iterator = CombinatoricsUtils.combinationsIterator(n, r); + while (iterator.hasNext()) { + final int[] combination = iterator.next(); + System.out.println(Arrays.toString(combination)); + } + } + + public static void main(String[] args) { + generate(N, R); + } +} \ No newline at end of file diff --git a/algorithms-miscellaneous-1/src/main/java/com/baeldung/algorithms/combination/CombinatoricsLibCombinationGenerator.java b/algorithms-miscellaneous-1/src/main/java/com/baeldung/algorithms/combination/CombinatoricsLibCombinationGenerator.java new file mode 100644 index 0000000000..0afdeefb8b --- /dev/null +++ b/algorithms-miscellaneous-1/src/main/java/com/baeldung/algorithms/combination/CombinatoricsLibCombinationGenerator.java @@ -0,0 +1,13 @@ +package com.baeldung.algorithms.combination; + +import org.paukov.combinatorics3.Generator; + +public class CombinatoricsLibCombinationGenerator { + + public static void main(String[] args) { + Generator.combination(0, 1, 2, 3, 4, 5) + .simple(3) + .stream() + .forEach(System.out::println); + } +} diff --git a/algorithms-miscellaneous-1/src/main/java/com/baeldung/algorithms/combination/GuavaCombinationsGenerator.java b/algorithms-miscellaneous-1/src/main/java/com/baeldung/algorithms/combination/GuavaCombinationsGenerator.java new file mode 100644 index 0000000000..d2783881ba --- /dev/null +++ b/algorithms-miscellaneous-1/src/main/java/com/baeldung/algorithms/combination/GuavaCombinationsGenerator.java @@ -0,0 +1,17 @@ +package com.baeldung.algorithms.combination; + +import java.util.Arrays; +import java.util.Set; + +import com.google.common.collect.ImmutableSet; +import com.google.common.collect.Sets; + +public class GuavaCombinationsGenerator { + + public static void main(String[] args) { + + Set> combinations = Sets.combinations(ImmutableSet.of(0, 1, 2, 3, 4, 5), 3); + System.out.println(combinations.size()); + System.out.println(Arrays.toString(combinations.toArray())); + } +} diff --git a/algorithms-miscellaneous-1/src/main/java/com/baeldung/algorithms/combination/IterativeCombinationGenerator.java b/algorithms-miscellaneous-1/src/main/java/com/baeldung/algorithms/combination/IterativeCombinationGenerator.java new file mode 100644 index 0000000000..676d2f41e3 --- /dev/null +++ b/algorithms-miscellaneous-1/src/main/java/com/baeldung/algorithms/combination/IterativeCombinationGenerator.java @@ -0,0 +1,52 @@ +package com.baeldung.algorithms.combination; + +import java.util.ArrayList; +import java.util.Arrays; +import java.util.List; + +public class IterativeCombinationGenerator { + + private static final int N = 5; + private static final int R = 2; + + /** + * Generate all combinations of r elements from a set + * @param n the number of elements in input set + * @param r the number of elements in a combination + * @return the list containing all combinations + */ + public List generate(int n, int r) { + List combinations = new ArrayList<>(); + int[] combination = new int[r]; + + // initialize with lowest lexicographic combination + for (int i = 0; i < r; i++) { + combination[i] = i; + } + + while (combination[r - 1] < n) { + combinations.add(combination.clone()); + + // generate next combination in lexicographic order + int t = r - 1; + while (t != 0 && combination[t] == n - r + t) { + t--; + } + combination[t]++; + for (int i = t + 1; i < r; i++) { + combination[i] = combination[i - 1] + 1; + } + } + + return combinations; + } + + public static void main(String[] args) { + IterativeCombinationGenerator generator = new IterativeCombinationGenerator(); + List combinations = generator.generate(N, R); + System.out.println(combinations.size()); + for (int[] combination : combinations) { + System.out.println(Arrays.toString(combination)); + } + } +} diff --git a/algorithms-miscellaneous-1/src/main/java/com/baeldung/algorithms/combination/SelectionRecursiveCombinationGenerator.java b/algorithms-miscellaneous-1/src/main/java/com/baeldung/algorithms/combination/SelectionRecursiveCombinationGenerator.java new file mode 100644 index 0000000000..52305b8c2f --- /dev/null +++ b/algorithms-miscellaneous-1/src/main/java/com/baeldung/algorithms/combination/SelectionRecursiveCombinationGenerator.java @@ -0,0 +1,53 @@ +package com.baeldung.algorithms.combination; + +import java.util.ArrayList; +import java.util.Arrays; +import java.util.List; + +public class SelectionRecursiveCombinationGenerator { + + private static final int N = 6; + private static final int R = 3; + + /** + * Generate all combinations of r elements from a set + * @param n - number of elements in input set + * @param r - number of elements to be chosen + * @return the list containing all combinations + */ + public List generate(int n, int r) { + List combinations = new ArrayList<>(); + helper(combinations, new int[r], 0, n - 1, 0); + return combinations; + } + + /** + * Choose elements from set by recursing over elements selected + * @param combinations - List to store generated combinations + * @param data - current combination + * @param start - starting element of remaining set + * @param end - last element of remaining set + * @param index - number of elements chosen so far. + */ + private void helper(List combinations, int data[], int start, int end, int index) { + if (index == data.length) { + int[] combination = data.clone(); + combinations.add(combination); + } else { + int max = Math.min(end, end + 1 - data.length + index); + for (int i = start; i <= max; i++) { + data[index] = i; + helper(combinations, data, i + 1, end, index + 1); + } + } + } + + public static void main(String[] args) { + SelectionRecursiveCombinationGenerator generator = new SelectionRecursiveCombinationGenerator(); + List combinations = generator.generate(N, R); + for (int[] combination : combinations) { + System.out.println(Arrays.toString(combination)); + } + System.out.printf("generated %d combinations of %d items from %d ", combinations.size(), R, N); + } +} diff --git a/algorithms-miscellaneous-1/src/main/java/com/baeldung/algorithms/combination/SetRecursiveCombinationGenerator.java b/algorithms-miscellaneous-1/src/main/java/com/baeldung/algorithms/combination/SetRecursiveCombinationGenerator.java new file mode 100644 index 0000000000..a73447b31d --- /dev/null +++ b/algorithms-miscellaneous-1/src/main/java/com/baeldung/algorithms/combination/SetRecursiveCombinationGenerator.java @@ -0,0 +1,50 @@ +package com.baeldung.algorithms.combination; + +import java.util.ArrayList; +import java.util.Arrays; +import java.util.List; + +public class SetRecursiveCombinationGenerator { + + private static final int N = 5; + private static final int R = 2; + + /** + * Generate all combinations of r elements from a set + * @param n - number of elements in set + * @param r - number of elements in selection + * @return the list containing all combinations + */ + public List generate(int n, int r) { + List combinations = new ArrayList<>(); + helper(combinations, new int[r], 0, n-1, 0); + return combinations; + } + + /** + * @param combinations - List to contain the generated combinations + * @param data - List of elements in the selection + * @param start - index of the starting element in the remaining set + * @param end - index of the last element in the set + * @param index - number of elements selected so far + */ + private void helper(List combinations, int data[], int start, int end, int index) { + if (index == data.length) { + int[] combination = data.clone(); + combinations.add(combination); + } else if (start <= end) { + data[index] = start; + helper(combinations, data, start + 1, end, index + 1); + helper(combinations, data, start + 1, end, index); + } + } + + public static void main(String[] args) { + SetRecursiveCombinationGenerator generator = new SetRecursiveCombinationGenerator(); + List combinations = generator.generate(N, R); + for (int[] combination : combinations) { + System.out.println(Arrays.toString(combination)); + } + System.out.printf("generated %d combinations of %d items from %d ", combinations.size(), R, N); + } +} diff --git a/algorithms-miscellaneous-1/src/test/java/com/baeldung/algorithms/combination/CombinationUnitTest.java b/algorithms-miscellaneous-1/src/test/java/com/baeldung/algorithms/combination/CombinationUnitTest.java new file mode 100644 index 0000000000..987b6ddae6 --- /dev/null +++ b/algorithms-miscellaneous-1/src/test/java/com/baeldung/algorithms/combination/CombinationUnitTest.java @@ -0,0 +1,35 @@ +package com.baeldung.algorithms.combination; + +import static org.junit.jupiter.api.Assertions.assertEquals; + +import java.util.List; + +import org.junit.Test; + +public class CombinationUnitTest { + + private static final int N = 5; + private static final int R = 3; + private static final int nCr = 10; + + @Test + public void givenSetAndSelectionSize_whenCalculatedUsingSetRecursiveAlgorithm_thenExpectedCount() { + SetRecursiveCombinationGenerator generator = new SetRecursiveCombinationGenerator(); + List selection = generator.generate(N, R); + assertEquals(nCr, selection.size()); + } + + @Test + public void givenSetAndSelectionSize_whenCalculatedUsingSelectionRecursiveAlgorithm_thenExpectedCount() { + SelectionRecursiveCombinationGenerator generator = new SelectionRecursiveCombinationGenerator(); + List selection = generator.generate(N, R); + assertEquals(nCr, selection.size()); + } + + @Test + public void givenSetAndSelectionSize_whenCalculatedUsingIterativeAlgorithm_thenExpectedCount() { + IterativeCombinationGenerator generator = new IterativeCombinationGenerator(); + List selection = generator.generate(N, R); + assertEquals(nCr, selection.size()); + } +}