C++ BST stands for Binary Search Tree include insertion and print elements,search target key,find min,/max

//BSTNode.h
#include <iostream>
using namespace std;

class BSTNode
{
    public:
            int Key;
            BSTNode *Left;
            BSTNode *Right;
            BSTNode *Parent;
            BSTNode *root;
            BSTNode * Insert(BSTNode * node, int key);
            void Insert(int key);
            void PrintTreeInOrder(BSTNode *node);
            void PrintTree();
       BSTNode *Search(BSTNode *node,int targetValue);
void Search(int targetValue);
        int FindMin();

int FindMax();

};
//BSTNode.cpp
#include <BSTNode.h>

BSTNode *BSTNode::Insert(BSTNode *node,int keyValue)
{
    //IF  BST doesn't exist,create a new node as root or it's reached when there's no any child node
    //so we can insert a new node here
    if(node==NULL)
    {
        node=new BSTNode;
        node->Key=keyValue;
        node->Left=NULL;
        node->Right=NULL;
        node->Parent=NULL;
    }

    //If the given key is greater than node's key then go to right subtree
    else if(node->Key<keyValue)
    {
        node->Right=Insert(node->Right,keyValue);
        node->Right->Parent=node;
    }

    //If the given key is smaller than node's key then go to the left subtree
    else
    {
        node->Left=Insert(node->Left,keyValue);
        node->Left->Parent=node;
    }
    return node;
}

void BSTNode::Insert(int key)
{
    //Invoking Insert(BSTNode *node,int keyValue) function and passing root node and given key
    root=Insert(root,key);
}

void BSTNode::PrintTreeInOrder(BSTNode *node)
{
    //Stop printing if no node found
    if(node==NULL)
    {
        return;
    }

    //Get the smallest key first which is the left subtree
    PrintTreeInOrder(node->Left);

    //Print the key
    std::cout<<node->Key<<"\t";

    //Continue to the greates key which is in the right subtree
    PrintTreeInOrder(node->Right);
}

void BSTNode::PrintTree()
{
    PrintTreeInOrder(root);
    cout<<"\nFinished in PrintTree()"<<endl;
}

BSTNode *BSTNode::Search(BSTNode *node, int targetValue)
{
//The given target value is not found in BST
if (node == NULL)
{
return NULL;
}


//The given key is found
else if (node->Key == targetValue)
{
return node;
}


//The given key is greater than current node's key
else if (node->Key < targetValue)
{
return Search(node->Right, targetValue);
}


//The given key is smaller than current node's key
else
return Search(node->Left, targetValue);
}


void BSTNode::Search(int targetValue)
{
//Invoking Search() operation and passing root node
BSTNode *result = Search(root, targetValue);
if (result != NULL)
{
cout << "Found and resut.Key=" << result->Key << endl;
}
else
{
cout << "Not found " << targetValue << " in BSTNode" << endl;
}
}

int BSTNode::FindMin(BSTNode *node)
{
if (node == NULL)
{
return -1;
}
else if (node->Left == NULL)
{
return node->Key;
}
else
{
return FindMin(node->Left);
}
}

int BSTNode::FindMax(BSTNode *node)
{
if (node == NULL)
{
return -1;
}
else if (node->Right == NULL)
{
return node->Key;
}
else
{
return FindMax(node->Right);
}
}

int BSTNode::FindMin()
{
return FindMin(root);
}

int BSTNode::FindMax()
{
return FindMax(root);
}

 
//In main.cpp
#include <iostream>
#include <uuid/uuid.h>
#include <ctime>
#include <string.h>
#include <unistd.h>
#include <bits/stdc++.h>
#include <stack> 
#include <BSTNode.h>
#include <random>


void bst9();

int main()
{
    bst9();
    return 0;
}

void bst9()
{
    srand(time(NULL));
    BSTNode bst;
    for(int i=0;i<10;i++)
    {
        bst.Insert(rand()%1000000);
    }

    bst.PrintTree();
    cout<<"Finished in bst9()"<<endl;
}

Comile as below

g++ -g -std=c++2a -I. h1.cpp  BSTNode.cpp -o h1 -luuid

Run ./h1

Or get rid of reminder of 100000% when insert value into BST node 

Run  ./h1

The above two snapshots illustrates that the binary search tree is a sorted tree,the left is smallest,the root is middle,the right is the most biggest element in BST structure

#include <iostream>
#include <uuid/uuid.h>
#include <ctime>
#include <string.h>
#include "BSTNode.h"
#include <vector>
void BSTNodeSearch8();

int main()
{
    BSTNodeSearch8();
    return 0;
}

void BSTNodeSearch8()
{
    BSTNode bst;
    for(int i=0;i<100;i++)
    {
        bst.Insert(i*i*i);
    }

    bst.Search(98*98*98);
    bst.Search(981*98*98);
    cout<<"\nFinished in BSTNodeSearch8()"<<endl;
}

Compile via below command

g++ -g -std=c++2a -I. h1.cpp BSTNode.cpp -o h1 -luuid

Run ./h1

void BSTFindMin9();

int main()
{
    BSTFindMin9();
    return 0;
}

void BSTFindMin9()
{
    BSTNode bst;
    for(int i=0;i<100;i++)
    {
        bst.Insert(i*i*i);
    }

    bst.PrintTree();
    int min=bst.FindMin();
    cout<<"Min="<<min<<endl;
    int max=bst.FindMax();
    cout<<"Max="<<max<<endl;
}

Compile 

g++ -g -std=c++2a -I. h1.cpp BSTNode.cpp -o h1 -luuid

int BSTNode::Successor(BSTNode *node)
{
    //The sucessor is the minimum key value of right subtree
    if(node->Right!=NULL)
    {
        return FindMin(node->Right);
    }
    //If no any right subtree
    else
    {
        BSTNode *parentNode=node->Parent;
        BSTNode *currentNode=node;

        //If currentNode is not root and currentNode is its right children continue moving up
        while((parentNode!=NULL) && (currentNode==parentNode->Right))
        {
            currentNode=parentNode;
            parentNode=currentNode->Parent;
        }
        //If parentNode is not null then the key of parentNode is the successor of node
        return parentNode==NULL?-1:parentNode->Key;
    }
}

int BSTNode::Successor(int key)
{
    //Search the key's node first
    BSTNode *keyNode=Search(root,key);

    //Return the key.If the key is not found or successor is not found
    return keyNode==NULL?-1:Successor(keyNode);
}
void Successor10();

int main()
{
    Successor10();
    return 0;
}

void Successor10()
{
    BSTNode bst;
    for(int i=0;i<100;i++)
    {
        bst.Insert(i*i*i);
    }
    int successor=bst.Successor(98*98*98);
    cout<<"successor="<<successor<<endl;
cout<<"Finished in Successor10()"<<endl; }

Compile

g++ -g -std=c++2a -I. h1.cpp BSTNode.cpp -o h1 -luuid

Run ./h1

int BSTNode::Predecessor(BSTNode *node)
{
    //The predecessor is the maximum key value of subtree
    if(node->Left!=NULL)
    {
        return FindMax(node->Left);
    }

    //If no any left subtree
    else
    {
        BSTNode *parentNode=node->Parent;
        BSTNode *currentNode=node;

        //If currentNode is not root and current node is its left children continue moving up
        while((parentNode!=NULL)&&(currentNode==parentNode->Left))
        {
            currentNode=parentNode;
            parentNode=currentNode->Parent;
        }

        //If parentNode is not NULL then the key of parentNode is the predecessor of node
        return parentNode==NULL?-1:parentNode->Key;
    }
}

int BSTNode::Predecessor(int key)
{
    //Search the key's node first
    BSTNode *keyNode=Search(root,key);
    //Return the key
    //If the key is not found or predecessor is not found,return -1
    return keyNode==NULL?-1:Predecessor(keyNode);
}
void Predecessor11();

int main()
{
    Predecessor11();
    return 0;
}

void Predecessor11()
{
    BSTNode bst;
    for(int i=0;i<100;i++)
    {
        bst.Insert(i*i*i);
    }

    int predecessor=bst.Predecessor(98*98*98);
    cout<<"predecessor="<<predecessor<<endl;
    cout<<"Finished in Predecessor11()"<<endl;
}

Compile

g++ -g -std=c++2a -I. h1.cpp BSTNode.cpp -o h1 -luuid

Run ./h1

原文地址:https://www.cnblogs.com/Fred1987/p/15781460.html