BAEL-2504 Combinations

Initial Combinations code.

algorithms-miscellaneous-1/pom.xml

@@ -39,6 +39,11 @@
             <version>${org.assertj.core.version}</version>
             <scope>test</scope>
         </dependency>
+        <dependency>
+            <groupId>com.github.dpaukov</groupId>
+            <artifactId>combinatoricslib3</artifactId>
+            <version>3.3.0</version>
+         </dependency>
     </dependencies>
 
     <build>

algorithms-miscellaneous-1/src/main/java/com/baeldung/algorithms/combination/ApacheCommonsCombinationGenerator.java

@@ -0,0 +1,17 @@
+package com.baeldung.algorithms.combination;
+
+import java.util.Arrays;
+import java.util.Iterator;
+
+import org.apache.commons.math3.util.CombinatoricsUtils;
+
+public class ApacheCommonsCombinationGenerator {
+
+    public static void main(String[] args) {
+        Iterator<int[]> iterator = CombinatoricsUtils.combinationsIterator(5, 3);
+        while (iterator.hasNext()) {
+            final int[] combination = iterator.next();
+            System.out.println(Arrays.toString(combination));
+        }
+    }
+}

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);
+    }
+}

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<Set<Integer>> combinations = Sets.combinations(ImmutableSet.of(0, 1, 2, 3, 4, 5), 3);
+        System.out.println(combinations.size());
+        System.out.println(Arrays.toString(combinations.toArray()));
+    }
+}

algorithms-miscellaneous-1/src/main/java/com/baeldung/algorithms/combination/IterativeCombinationGenerator.java

@@ -0,0 +1,45 @@
+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;
+
+    public List<int[]> generate(int n, int r) {
+        List<int[]> combinations = new ArrayList<>();
+        int[] combination = new int[r];
+
+        for (int i = 0; i < r; i++) {
+            combination[i] = i;
+        }
+
+        while (combination[r - 1] < n) {
+            combinations.add(combination.clone());
+
+            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<int[]> combinations = generator.generate(N, R);
+        System.out.println(combinations.size());
+        for (int[] combination : combinations) {
+            System.out.println(Arrays.toString(combination));
+        }
+    }
+
+}

algorithms-miscellaneous-1/src/main/java/com/baeldung/algorithms/combination/SelectionRecursiveCombinationGenerator.java

@@ -0,0 +1,39 @@
+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;
+
+    public List<int[]> generate(int n, int r) {
+        List<int[]> combinations = new ArrayList<>();
+        helper(combinations, new int[r], 0, n - 1, 0);
+        return combinations;
+    }
+
+    private void helper(List<int[]> 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<int[]> combinations = generator.generate(N, R);
+        System.out.println(combinations.size());
+        for (int[] combination : combinations) {
+            System.out.println(Arrays.toString(combination));
+        }
+    }
+}

algorithms-miscellaneous-1/src/main/java/com/baeldung/algorithms/combination/SetRecursiveCombinationGenerator.java

@@ -0,0 +1,38 @@
+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 = 6;
+    private static final int R = 3;
+
+    public List<int[]> generate(int n, int r) {
+        List<int[]> combinations = new ArrayList<>();
+        helper(combinations, new int[r], 0, n - 1, 0, r);
+        return combinations;
+    }
+
+    private void helper(List<int[]> combinations, int data[], int start, int end, int index, int r) {
+        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, r);
+            helper(combinations, data, start + 1, end, index, r);
+        }
+    }
+
+    public static void main(String[] args) {
+        SetRecursiveCombinationGenerator generator = new SetRecursiveCombinationGenerator();
+        List<int[]> combinations = generator.generate(N, R);
+        System.out.println(combinations.size());
+        for (int[] combination : combinations) {
+            System.out.println(Arrays.toString(combination));
+        }
+    }
+}

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<int[]> selection = generator.generate(N, R);
+        assertEquals(nCr, selection.size());
+    }
+
+    @Test
+    public void givenSetAndSelectionSize_whenCalculatedUsingSelectionRecursiveAlgorithm_thenExpectedCount() {
+        SelectionRecursiveCombinationGenerator generator = new SelectionRecursiveCombinationGenerator();
+        List<int[]> selection = generator.generate(N, R);
+        assertEquals(nCr, selection.size());
+    }
+    
+    @Test
+    public void givenSetAndSelectionSize_whenCalculatedUsingIterativeAlgorithm_thenExpectedCount() {
+        IterativeCombinationGenerator generator = new IterativeCombinationGenerator();
+        List<int[]> selection = generator.generate(N, R);
+        assertEquals(nCr, selection.size());
+    }
+}