James老师的演示代码(链表实现)有一点瑕疵,自己做了点修正,同时也可作为树篇的复习材料。
/
树是节点的有限集合。
parent ancestor
child descendant
度degree:当前节点的直接孩子数目。
leaf:终端节点
root:非终端节点
深度depth
节点深度 1,2,3。。。
树的深度
森林
二叉树:所有节点的度都小于等于2
二叉树的遍历:根据访问根的顺序:前序、中序、后序。
/
/
二叉树数组实现:
左孩子下标 = 父节点下标2 + 1;
右孩子下标 = 父节点下标2 + 2;
父节点下标 = (孩子节点下标 - 1) / 2;
/
各位学友,各自加油。代码如下:
Tree.h
#ifndef TREE_H
#define TREE_H
#include "Node.h"
class Tree {
public:
Tree();
~Tree();
Node* searchNode(int index);
bool addNode(int index, bool isLeft, Node *pNode);
bool deleteNode(int index, Node *pNode);
void preOrderTraversal() const;
void InOrderTraversal() const;
void postOrderTraversal() const;
private:
Node *pRoot;
};
#endif
Tree.cpp
#include "Tree.h"
#include <iostream>
using namespace std;
Tree::Tree() {
pRoot = new Node;
}
Tree::~Tree() {
pRoot->deleteNode();
}
Node* Tree::searchNode(int index) {
return pRoot->searchNode(index); //这是Node中的函数
}
bool Tree::addNode(int index, bool isLeft, Node *pNode) {
Node *tmp = searchNode(index);
if (NULL == tmp) return false;
Node *node = new Node;
node->index = pNode->index;
node->data = pNode->data;
node->pParent = tmp;
if (isLeft) {
if (tmp->pLeft != NULL) return false;
tmp->pLeft = node;
}
else {
if (tmp->pRight != NULL) return false;
tmp->pRight = node;
}
return true;
}
bool Tree::deleteNode(int index, Node *pNode) {
Node *tmp = searchNode(index);
if (NULL == tmp) return false;
if (NULL != pNode) {
pNode->index = tmp->index;
pNode->data = tmp->data;
}
tmp->deleteNode();
return true;
}
void Tree::preOrderTraversal() const {
pRoot->preOrderTraversal();
}
void Tree::InOrderTraversal() const {
pRoot->InOrderTraversal();
}
void Tree::postOrderTraversal() const {
pRoot->postOrderTraversal();
}
Node.h
#pragma once
class Node {
public:
Node(int index = 0, int data = 0);
Node* searchNode(int index);
void deleteNode();
void preOrderTraversal() const;
void InOrderTraversal() const;
void postOrderTraversal() const;
public:
int index;
int data;
Node *pLeft;
Node *pRight;
Node *pParent;
};
Node.cpp
#include "Node.h"
#include <iostream>
using namespace std;
Node::Node(int index, int data) {
this->index = index;
this->data = data;
pLeft = pRight = pParent = NULL;
}
void Node::deleteNode() {
if (pLeft != NULL)
pLeft->deleteNode();
if (pRight != NULL)
pRight->deleteNode();
if (pParent != NULL) {
if (pParent->pLeft == this)
pParent->pLeft = NULL;
else
pParent->pRight = NULL;
}
delete this;
}
Node* Node::searchNode(int index) {
if (this->index == index) return this;
if (pLeft != NULL) {
if (pLeft->index == index) return pLeft;
Node *tmp = pLeft->searchNode(index);
if (NULL != tmp) return tmp;
}
if (pRight != NULL) {
if (pRight->index == index) return pRight;
Node *tmp = pRight->searchNode(index);
if (NULL != tmp) return tmp;
}
return NULL;
}
void Node::preOrderTraversal() const {
cout << index << " " << data << endl;
if (pLeft != NULL)
pLeft->preOrderTraversal();
if (pRight != NULL)
pRight->preOrderTraversal();
}
void Node::InOrderTraversal() const {
if (pLeft != NULL)
pLeft->InOrderTraversal();
cout << index << " " << data << endl;
if (pRight != NULL)
pRight->InOrderTraversal();
}
void Node::postOrderTraversal() const {
if (pLeft != NULL)
pLeft->postOrderTraversal();
if (pRight != NULL)
pRight->postOrderTraversal();
cout << index << " " << data << endl;
}
demo.cpp
#include "Tree.h"
#include <iostream>
using namespace std;
int main(void) {
Tree *tree = new Tree;
Node *node1 = new Node(1, 5);
Node *node2 = new Node(2, 8);
Node *node3 = new Node(3, 2);
Node *node4 = new Node(4, 6);
Node *node5 = new Node(5, 9);
Node *node6 = new Node(6, 7);
tree->addNode(0, true, node1);
tree->addNode(0, false, node2);
tree->addNode(1, true, node3);
tree->addNode(1, false, node4);
tree->addNode(2, true, node5);
tree->addNode(2, false, node6);
tree->deleteNode(1, NULL);
tree->preOrderTraversal();
cout << endl;
tree->InOrderTraversal();
cout << endl;
tree->postOrderTraversal();
delete tree;
system("pause");
return 0;
}
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