binary search tree

Binary Search Tree

题目描述:

用C++语言构造搜索二叉树。包括基本的功能;先序遍历,中序遍历,后序遍历,取最大值,取最小值,插入,删除,查找。

代码如下:

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using namespace std;
template <typename T>
class TreeNode{
public:
TreeNode* left;
TreeNode* right;
T value;
TreeNode(T key): value(key), left(NULL), right(NULL){};
TreeNode(T key, TreeNode* l, TreeNode* r): value(key), left(l), right(r){};
};
template <typename T>
class BSTree{
public:
BSTree() = default;
BSTree(TreeNode<T>* node): root(node) {};
~BSTree(){};
void ();
void inOrder();
void postOrder();
void insert(T value);
// void insert(TreeNode* node);
void search(T value);
// void del(T value);
bool empty();
TreeNode<T>* getMin();
TreeNode<T>* getMax();
private:
TreeNode<T>* root;
void (TreeNode<T>* const node) const;
void inOrder(TreeNode<T>* const node) const;
void postOrder(TreeNode<T>* const node) const;
void search(TreeNode<T>* node, T key);
TreeNode<T>* getMin(TreeNode<T>* const node);
TreeNode<T>* getMax(TreeNode<T>* const node);
bool empty(TreeNode<T>* node);
void insert(TreeNode<T>* node, T value);
};
template <typename T>
void BSTree<T>::preOrder(TreeNode<T>* const node) const {
if (node) {
cout << node->value << endl;
preOrder(node->left);
preOrder(node->right);
}else{
return;
}
}
template <typename T>
void BSTree<T>::preOrder() {
preOrder(root);
}
template <typename T>
void BSTree<T>::inOrder(TreeNode<T>* const node) const {
if (node){
inOrder(node->left);
cout << node->value << endl;
inOrder(node->right);
}else{
return;
}
}
template <typename T>
void BSTree<T>::inOrder() {
inOrder(root);
}
template <typename T>
void BSTree<T>::postOrder(TreeNode<T>* const node) const {
if (node){
postOrder(node->left);
postOrder(node->right);
cout << node->value << endl;
}else{
return;
}
}
template <typename T>
void BSTree<T>::postOrder() {
postOrder(root);
}
template <typename T>
void BSTree<T>::search(TreeNode<T> * node, T value) {
if (!node) {
if (value == node->value) {
cout << "the value is in this tree" << endl;
return;
}
if (value > node->value)
search(node->right, value);
if (value < node->value)
search(node->left, value);
}
return;
}
template <typename T>
void BSTree<T>::search(T value) {
search(root, value);
}
template <typename T>
TreeNode<T>* BSTree<T>::getMin(TreeNode<T> *const node) {
TreeNode<T>* tmp = node;
while(tmp->left){
tmp = tmp->left;
}
return tmp;
}
template <typename T>
TreeNode<T>* BSTree<T>::getMin() {
getMin(root);
}
template <typename T>
TreeNode<T>* BSTree<T>::getMax(TreeNode<T> *const node) {
TreeNode<T>* tmp = node;
while(tmp->right){
tmp = tmp->right;
}
return tmp;
}
template <typename T>
TreeNode<T>* BSTree<T>::getMax() {
getMax(root);
}
template <typename T>
bool BSTree<T>::empty(TreeNode<T>* node){
return node == NULL;
}
template <typename T>
bool BSTree<T>::empty(){
return empty(root);
}
template <typename T>
void BSTree<T>::insert(TreeNode<T>* node, T value) {
if (node == NULL){
TreeNode<T>* tmp = new TreeNode<T>(value);
node = tmp;
}
if (node->value > value){
if (node->left == NULL){
TreeNode<T>* tmp = new TreeNode<T>(value);
node->left = tmp;
}else{
insert(node->left, value);
}
}else{
if (node->right == NULL){
TreeNode<T>* tmp = new TreeNode<T>(value);
node->right = tmp;
}else{
insert(node->right, value);
}
}
}
template <typename T>
void BSTree<T>::insert(T value) {
insert(root, value);
}