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Added-> DisjointUnion Set by Size (#6514)
* Added-> DisjointUnion Set by Size * Add tests for DisjointSetUnionBySize --------- Co-authored-by: Deniz Altunkapan <93663085+DenizAltunkapan@users.noreply.github.com>
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package com.thealgorithms.datastructures.disjointsetunion;
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import static org.junit.jupiter.api.Assertions.assertEquals;
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import static org.junit.jupiter.api.Assertions.assertNotEquals;
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import static org.junit.jupiter.api.Assertions.assertNotNull;
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import org.junit.jupiter.api.Test;
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public class DisjointSetUnionBySizeTest {
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@Test
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public void testMakeSet() {
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DisjointSetUnionBySize<Integer> dsu = new DisjointSetUnionBySize<>();
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DisjointSetUnionBySize.Node<Integer> node = dsu.makeSet(1);
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assertNotNull(node);
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assertEquals(node, node.parent);
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assertEquals(1, node.size);
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}
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@Test
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public void testUnionFindSet() {
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DisjointSetUnionBySize<Integer> dsu = new DisjointSetUnionBySize<>();
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DisjointSetUnionBySize.Node<Integer> node1 = dsu.makeSet(1);
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DisjointSetUnionBySize.Node<Integer> node2 = dsu.makeSet(2);
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DisjointSetUnionBySize.Node<Integer> node3 = dsu.makeSet(3);
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DisjointSetUnionBySize.Node<Integer> node4 = dsu.makeSet(4);
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dsu.unionSets(node1, node2);
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dsu.unionSets(node3, node2);
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dsu.unionSets(node3, node4);
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dsu.unionSets(node1, node3);
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DisjointSetUnionBySize.Node<Integer> root1 = dsu.findSet(node1);
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DisjointSetUnionBySize.Node<Integer> root2 = dsu.findSet(node2);
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DisjointSetUnionBySize.Node<Integer> root3 = dsu.findSet(node3);
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DisjointSetUnionBySize.Node<Integer> root4 = dsu.findSet(node4);
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assertEquals(root1, root2);
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assertEquals(root1, root3);
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assertEquals(root1, root4);
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assertEquals(4, root1.size);
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}
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@Test
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public void testFindSetOnSingleNode() {
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DisjointSetUnionBySize<String> dsu = new DisjointSetUnionBySize<>();
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DisjointSetUnionBySize.Node<String> node = dsu.makeSet("A");
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assertEquals(node, dsu.findSet(node));
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}
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@Test
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public void testUnionAlreadyConnectedNodes() {
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DisjointSetUnionBySize<Integer> dsu = new DisjointSetUnionBySize<>();
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DisjointSetUnionBySize.Node<Integer> node1 = dsu.makeSet(1);
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DisjointSetUnionBySize.Node<Integer> node2 = dsu.makeSet(2);
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DisjointSetUnionBySize.Node<Integer> node3 = dsu.makeSet(3);
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dsu.unionSets(node1, node2);
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dsu.unionSets(node2, node3);
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// Union nodes that are already connected
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dsu.unionSets(node1, node3);
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// All should have the same root
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DisjointSetUnionBySize.Node<Integer> root = dsu.findSet(node1);
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assertEquals(root, dsu.findSet(node2));
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assertEquals(root, dsu.findSet(node3));
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assertEquals(3, root.size);
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}
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@Test
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public void testMultipleMakeSets() {
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DisjointSetUnionBySize<Integer> dsu = new DisjointSetUnionBySize<>();
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DisjointSetUnionBySize.Node<Integer> node1 = dsu.makeSet(1);
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DisjointSetUnionBySize.Node<Integer> node2 = dsu.makeSet(2);
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DisjointSetUnionBySize.Node<Integer> node3 = dsu.makeSet(3);
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assertNotEquals(node1, node2);
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assertNotEquals(node2, node3);
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assertNotEquals(node1, node3);
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assertEquals(node1, node1.parent);
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assertEquals(node2, node2.parent);
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assertEquals(node3, node3.parent);
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assertEquals(1, node1.size);
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assertEquals(1, node2.size);
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assertEquals(1, node3.size);
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}
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@Test
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public void testPathCompression() {
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DisjointSetUnionBySize<Integer> dsu = new DisjointSetUnionBySize<>();
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DisjointSetUnionBySize.Node<Integer> node1 = dsu.makeSet(1);
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DisjointSetUnionBySize.Node<Integer> node2 = dsu.makeSet(2);
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DisjointSetUnionBySize.Node<Integer> node3 = dsu.makeSet(3);
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dsu.unionSets(node1, node2);
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dsu.unionSets(node2, node3);
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// After findSet, path compression should update parent to root directly
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DisjointSetUnionBySize.Node<Integer> root = dsu.findSet(node3);
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assertEquals(root, node1);
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assertEquals(node1, node3.parent);
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assertEquals(3, root.size);
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}
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@Test
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public void testMultipleDisjointSets() {
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DisjointSetUnionBySize<Integer> dsu = new DisjointSetUnionBySize<>();
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DisjointSetUnionBySize.Node<Integer> node1 = dsu.makeSet(1);
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DisjointSetUnionBySize.Node<Integer> node2 = dsu.makeSet(2);
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DisjointSetUnionBySize.Node<Integer> node3 = dsu.makeSet(3);
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DisjointSetUnionBySize.Node<Integer> node4 = dsu.makeSet(4);
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DisjointSetUnionBySize.Node<Integer> node5 = dsu.makeSet(5);
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DisjointSetUnionBySize.Node<Integer> node6 = dsu.makeSet(6);
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// Create two separate components
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dsu.unionSets(node1, node2);
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dsu.unionSets(node2, node3);
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dsu.unionSets(node4, node5);
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dsu.unionSets(node5, node6);
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// Verify they are separate
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assertEquals(dsu.findSet(node1), dsu.findSet(node2));
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assertEquals(dsu.findSet(node2), dsu.findSet(node3));
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assertEquals(dsu.findSet(node4), dsu.findSet(node5));
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assertEquals(dsu.findSet(node5), dsu.findSet(node6));
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assertNotEquals(dsu.findSet(node1), dsu.findSet(node4));
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assertNotEquals(dsu.findSet(node3), dsu.findSet(node6));
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}
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@Test
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public void testEmptyValues() {
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DisjointSetUnionBySize<String> dsu = new DisjointSetUnionBySize<>();
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DisjointSetUnionBySize.Node<String> emptyNode = dsu.makeSet("");
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DisjointSetUnionBySize.Node<String> nullNode = dsu.makeSet(null);
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assertEquals(emptyNode, dsu.findSet(emptyNode));
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assertEquals(nullNode, dsu.findSet(nullNode));
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dsu.unionSets(emptyNode, nullNode);
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assertEquals(dsu.findSet(emptyNode), dsu.findSet(nullNode));
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}
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}
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