diff --git a/src/main/java/com/thealgorithms/datastructures/trees/ThreadedBinaryTree.java b/src/main/java/com/thealgorithms/datastructures/trees/ThreadedBinaryTree.java new file mode 100644 index 000000000000..fd8876cecb70 --- /dev/null +++ b/src/main/java/com/thealgorithms/datastructures/trees/ThreadedBinaryTree.java @@ -0,0 +1,145 @@ +/* + * TheAlgorithms (https://github.com/TheAlgorithms/Java) + * Author: Shewale41 + * This file is licensed under the MIT License. + */ + +package com.thealgorithms.datastructures.trees; + +import java.util.ArrayList; +import java.util.List; + +/** + * Threaded binary tree implementation that supports insertion and + * in-order traversal without recursion or stack by using threads. + * + *
In this implementation, a node's null left/right pointers are used
+ * to point to the in-order predecessor/successor respectively. Two flags
+ * indicate whether left/right pointers are real children or threads.
+ *
+ * @see Wikipedia:
+ * Threaded binary tree
+ */
+public final class ThreadedBinaryTree {
+
+ private Node root;
+
+ private static final class Node {
+ int value;
+ Node left;
+ Node right;
+ boolean leftIsThread;
+ boolean rightIsThread;
+
+ Node(int value) {
+ this.value = value;
+ this.left = null;
+ this.right = null;
+ this.leftIsThread = false;
+ this.rightIsThread = false;
+ }
+ }
+
+ public ThreadedBinaryTree() {
+ this.root = null;
+ }
+
+ /**
+ * Inserts a value into the threaded binary tree. Duplicate values are inserted
+ * to the right subtree (consistent deterministic rule).
+ *
+ * @param value the integer value to insert
+ */
+ public void insert(int value) {
+ Node newNode = new Node(value);
+ if (root == null) {
+ root = newNode;
+ return;
+ }
+
+ Node current = root;
+ Node parent = null;
+
+ while (true) {
+ parent = current;
+ if (value < current.value) {
+ if (!current.leftIsThread && current.left != null) {
+ current = current.left;
+ } else {
+ break;
+ }
+ } else { // value >= current.value
+ if (!current.rightIsThread && current.right != null) {
+ current = current.right;
+ } else {
+ break;
+ }
+ }
+ }
+
+ if (value < parent.value) {
+ // attach newNode as left child
+ newNode.left = parent.left;
+ newNode.leftIsThread = parent.leftIsThread;
+ newNode.right = parent;
+ newNode.rightIsThread = true;
+
+ parent.left = newNode;
+ parent.leftIsThread = false;
+ } else {
+ // attach newNode as right child
+ newNode.right = parent.right;
+ newNode.rightIsThread = parent.rightIsThread;
+ newNode.left = parent;
+ newNode.leftIsThread = true;
+
+ parent.right = newNode;
+ parent.rightIsThread = false;
+ }
+ }
+
+ /**
+ * Returns the in-order traversal of the tree as a list of integers.
+ * Traversal is done without recursion or an explicit stack by following threads.
+ *
+ * @return list containing the in-order sequence of node values
+ */
+ public List