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BST_left_insertion_of_equal_elements.cpp
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147 lines (133 loc) · 3.05 KB
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//In this BST, equal elements will go in left-subtree
#include<iostream>
#include<stdlib.h>
using namespace std;
typedef struct tree{
struct tree* left;
struct tree* right;
struct tree* parent;
int info;
}node;
node* create(node* &root,int x){ //Used for both creation and insertion of BST
node* z=new node;
z->info=x;
z->left=z->right=z->parent=NULL;
node* current=new node;
current=root;
node* hero=new node;
hero=NULL;
while(current!=NULL){
hero=current;
if(z->info<=current->info)
current=current->left;
else
current=current->right;
}
if(hero==NULL)
root=z;
else if(z->info <= hero->info){
hero->left=z;
z->parent=hero;
}
else{
hero->right=z;
z->parent=hero;
}
return root;
}
/*void transplant(node* &root , node* &u , node* &v){ //Pushpendra's version of transplant()
if(u->parent==NULL){
root=v;
}
else if(u==u->parent->left && v!=NULL){
u->parent->left=v;
v->parent=u->parent;
}
else if(u==u->parent->left && v==NULL)
u->parent->left=v;
else if(u==u->parent->right && v!=NULL){
u->parent->right=v;
v->parent=u->parent;
}
else if(u==u->parent->right && v==NULL)
u->parent->right=v;
}*/
void transplant(node* &root , node* &u , node* &v){ //Cormen's version of transplant()
if(u->parent==NULL)
root=v;
else if(u==u->parent->left)
u->parent->left=v;
else if(u==u->parent->right)
u->parent->right=v;
if(v!=NULL)
v->parent=u->parent;
}
node* find_max(node* &root){
node* temp=root;
if(temp->right==NULL)
return temp;
else
return find_max(temp->right);
}
node* search(node* &root,int x){
node* temp=root;
while(temp!=NULL){
if(temp->info == x)
return temp;
else if(x < temp->info)
temp=temp->left;
else if(x > temp->info)
temp=temp->right;
}
cout<<"\nelement is not in Tree \n";
}
/*node* search(node* root,int x){ //Recursive search
node* temp=root;
if(x < temp->info)
return search(temp->left,x);
else if(x==temp->info)
return temp;
else if(x > temp->info)
return search(temp->right,x);
}*/
void del(node* &root,node* &p){
if(p->left==NULL && p->right!=NULL)
transplant(root,p,p->right);
else if(p->right==NULL && p->left!=NULL)
transplant(root,p,p->left);
else{
node* y=find_max(p->left);
if(y->parent!=p){
transplant(root,y,y->left);
y->left=p->left;
y->left->parent=y;
transplant(root,p,y);
y->right=p->right;
y->right->parent=y;
}
else{
transplant(root,p,y);
y->right=p->right;
y->right->parent=root;
}
}
}
void inorder(node* &p){
if(p!=NULL){
inorder(p->left);
cout<<p->info<<" ";
inorder(p->right);
}
}
int main(){
node* root=new node;
root=NULL;
for(int i=1;i<=10;i++)
root=create(root,i*i*i-7*i*i-i+7);
// root=create(root,i);
node* temp=search(root,0);
// node* temp=search(root,1);
del(root,temp); temp=search(root,0); del(root,temp);
inorder(root);
cout<<"\n"<<root->info;
}