Binary Trees Template Examples and Implementation Guide

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Delve into the world of binary trees with detailed examples and a comprehensive guide on creating, manipulating, and removing nodes in binary tree structures. Learn the step-by-step process for implementing binary trees and efficiently managing tree nodes. Explore various scenarios for removing nodes from binary trees, including cases with one or two subtrees. Master the art of descending the tree and optimizing tree operations for a seamless data structure experience.

  • Binary Trees
  • Implementation
  • Examples
  • Removing Nodes
  • Descending

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  1. BINARY TREES: TEMPLATE EXAMPLES Overview Delroy A. Brinkerhoff

  2. BINARY TREES Create D Destroy Insert B F Search Remove A C E G

  3. IMPLEMENTING BINARY TREES template <class T> class Tree { private: T data; Tree<T>* left; Tree<T>* right; . . . };

  4. DESCENDING THE TREE root

  5. REMOVE (1) Slower than search or insert Three cases: A A top top No subtrees (is a leaf) One subtree B Two subtrees Case 1: No subtrees bottom Destroy the node Set the appropriate top subtree pointer to null

  6. REMOVE (2) Case 2: One subtree A A Set the appropriate top pointer to the bottom subtree top top Destroy the node B C bottom C

  7. REMOVE (3) Case 3: Two subtrees four phases F Find the removal node Find the successor (the next node) B H Go right A D G I Go left until left is null Copy the successor s data to the bottom E C Destroy the successor (case 1 or 2)

  8. REMOVE (3) Case 3: Two subtrees F Find the removal node Find the successor (the next node) B H Go right A D G I Go left until left is null Copy the successor s data to the bottom E C Destroy the successor (case 1 or 2)

  9. REMOVE (3) Case 3: Two subtrees F Find the removal node Find the successor (the next node) C H Go right A D G I Go left until left is null Copy the successor s data to the bottom E C Destroy the successor (case 1 or 2)

  10. REMOVE (3) Case 3: Two subtrees F Find the removal node Find the successor (the next node) C H Go right A D G I Go left until left is null Copy the successor s data to the bottom E Destroy the successor (case 1 or 2)

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