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- #include "BST.h"
- #include <cassert>
- #include <iostream>
- #include <string>
- #include <queue>
- #include "json.hpp"
- BSTNode::BSTNode(int key) :
- key_(key),
- parent_(std::weak_ptr<BSTNode>()),
- left_(nullptr),
- right_(nullptr) {}
- BSTNode::BSTNode(int key, std::weak_ptr<BSTNode> parent) :
- key_(key),
- parent_(parent),
- left_(nullptr),
- right_(nullptr) {}
- bool BSTNode::IsLeaf() const {
- return left_ == nullptr && right_ == nullptr;
- }
- bool BSTNode::HasLeftChild() const {
- return left_ != nullptr;
- }
- bool BSTNode::HasRightChild() const {
- return right_ != nullptr;
- }
- void BSTNode::DeleteChild(std::shared_ptr<BSTNode> v) {
- if (left_ == v) {
- left_ = nullptr;
- } else if (right_ == v) {
- right_ = nullptr;
- } else {
- std::cerr << "BSTNode::DeleteChild Error: non-child passed as argument\n";
- exit(EXIT_FAILURE);
- }
- }
- void BSTNode::ReplaceChild(std::shared_ptr<BSTNode> v, std::shared_ptr<BSTNode> u) {
- if (left_ == u || right_ == u) {
- std::cerr << "BSTNode::ReplaceChild Error: child passed as replacement\n";
- }
- if (left_ == v) {
- left_ = u;
- u->parent_ = v->parent_;
- } else if (right_ == v) {
- right_ = u;
- u->parent_ = v->parent_;
- } else {
- std::cerr << "BSTNode::ReplaceChild Error: non-child passed as argument\n";
- exit(EXIT_FAILURE);
- }
- }
- BST::BST() : root_(nullptr), size_(0) {}
- void BST::Insert(int key) {
- if (root_ == nullptr) {
- root_ = std::make_shared<BSTNode>(key);
- size_++;
- return;
- }
- std::shared_ptr<BSTNode> currentNode = root_, lastNode = nullptr;
- while (currentNode != nullptr) {
- lastNode = currentNode;
- currentNode = (key < currentNode->key_) ?
- currentNode->left_ : currentNode->right_;
- }
- if (key < lastNode->key_) {
- lastNode->left_ = std::make_shared<BSTNode>(key, lastNode);
- } else {
- lastNode->right_ = std::make_shared<BSTNode>(key, lastNode);
- }
- size_++;
- }
- bool BST::Delete(int key) {
- std::shared_ptr<BSTNode> currentNode = root_;
- while (currentNode != nullptr) {
- if (currentNode->key_ == key) {
- if (currentNode->IsLeaf()) {
- DeleteLeaf(currentNode);
- } else if (currentNode->left_ == nullptr) {
- assert(currentNode->right_ != nullptr);
- std::shared_ptr<BSTNode> parent = currentNode->parent_.lock();
- parent->ReplaceChild(currentNode, currentNode->right_);
- size_--; assert(size_ >= 0);
- } else if (currentNode->right_ == nullptr) {
- assert(currentNode->left_ != nullptr);
- std::shared_ptr<BSTNode> parent = currentNode->parent_.lock();
- parent->ReplaceChild(currentNode, currentNode->left_);
- size_--; assert(size_ >= 0);
- } else {
- currentNode->key_ = DeleteMin(currentNode);
- }
- }
- currentNode = (key < currentNode->key_) ?
- currentNode->left_ : currentNode->right_;
- }
- return false;
- }
- int BST::DeleteMin() {
- return DeleteMin(root_);
- }
- void BST::DeleteLeaf(std::shared_ptr<BSTNode> currentNode) {
- std::shared_ptr<BSTNode> parent = currentNode->parent_.lock();
- if (parent == nullptr) {
- // Delete root
- root_ = nullptr;
- size_--; assert(size_ == 0);
- } else {
- if (parent->right_ == currentNode) {
- parent->right_ = nullptr;
- } else if (parent->left_ == currentNode) {
- parent->left_ = nullptr;
- } else {
- std::cerr << "BST::DeleteLeaf Error: inconsistent state\n";
- }
- size_--; assert(size_ >= 0);
- }
- }
- int BST::DeleteMin(std::shared_ptr<BSTNode> currentNode) {
- std::shared_ptr<BSTNode> lastNode = nullptr;
- while (currentNode != nullptr) {
- lastNode = currentNode;
- currentNode = currentNode->left_;
- }
- int result = lastNode->key_;
- std::shared_ptr<BSTNode> parent = lastNode->parent_.lock();
- if (parent == nullptr) {
- // lastNode is root
- if (lastNode->right_ != nullptr) {
- root_ = lastNode->right_;
- lastNode->right_->parent_.reset();
- } else {
- root_ = nullptr;
- }
- } else {
- // lastNode under the root
- if (lastNode->right_ != nullptr) {
- parent->left_ = lastNode->right_;
- lastNode->right_->parent_ = parent;
- } else {
- parent->left_ = nullptr;
- }
- }
- size_--; assert(size_ >= 0);
- return result;
- }
- size_t BST::size() const {
- return size_;
- }
- bool BST::empty() const {
- return size_ == 0;
- }
- bool BST::Find(int key) const {
- std::shared_ptr<BSTNode> currentNode = root_;
- while (currentNode != nullptr) {
- if (currentNode->key_ == key) {
- return true;
- }
- currentNode = (key < currentNode->key_) ?
- currentNode->left_ : currentNode->right_;
- }
- return false;
- }
- std::string BST::JSON() const {
- nlohmann::json result;
- std::queue< std::shared_ptr<BSTNode> > nodes;
- if (root_ != nullptr) {
- result["root"] = root_->key_;
- nodes.push(root_);
- while (!nodes.empty()) {
- auto v = nodes.front();
- nodes.pop();
- std::string key = std::to_string(v->key_);
- if (v->left_ != nullptr) {
- result[key]["left"] = v->left_->key_;
- nodes.push(v->left_);
- }
- if (v->right_ != nullptr) {
- result[key]["right"] = v->right_->key_;
- nodes.push(v->right_);
- }
- if (v->parent_.lock() != nullptr) {
- result[key]["parent"] = v->parent_.lock()->key_;
- } else {
- result[key]["root"] = true;
- }
- }
- }
- result["size"] = size_;
- return result.dump(2) + "\n";
- }
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