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#include <iostream>
using namespace std;
typedef enum Color
{
RED,
BLACK,
}Color;
template<typename Type>
struct RbNode
{
Color color;
Type data;
RbNode<Type> *parent;
RbNode<Type> *left;
RbNode<Type> *right;
RbNode(Type d=Type()):left(NULL),right(NULL),parent(NULL),data(d),color(RED){}
};
template<typename Type>
class RbTree
{
public:
RbTree()
{
Root = NULL;
Nul = NULL;
Start = BuyNode();
Start->color = BLACK;
}
void Insert(Type ar[],int n)
{
for(int i=0;i<n;i++)
{
_Insert(Root,ar[i]);
}
}
private:
bool _Insert(RbNode<Type> *p,int val)
{
RbNode<Type> *pr = NULL;
while(p!=NULL)
{
if(p->data == val)return false;
pr = p;
if(p->data > val)p=p->left;
else p=p->right;
}
if(pr==NULL)
{
Root = BuyNode(val);
p = Root;
}
else
p = BuyNode(val);
if(pr!=NULL)
{
if(pr->data>val)
pr->left = p;
else
pr->right = p;
p->parent = pr;
}
Init_Set(Root,p);
Root->color = BLACK;
}
RbNode<Type>* BuyNode(Type d=Type())
{
RbNode<Type> *s = new RbNode<Type>(d);
return s;
}
bool Init_Set(RbNode<Type> *&t,RbNode<Type> *&p)
{
p->color = RED;
if(p->parent!=Nul && p->parent->color == RED)
{
if(p->parent->parent->left==p->parent)
{
if(p->parent->left==p)
{
RbNode<Type> *s = p->parent->parent->right;
if(s!=Nul && s->color==RED)
{
p->parent->color = BLACK;
s->color = BLACK;
p=s->parent;
Init_Set(Root,p);
}
else
{
p->parent->color = BLACK;
p->parent->parent->color=RED;
p = p->parent->parent;
StateR(Root,p);
}
}
else
{
RbNode<Type> *s = p->parent->parent->right;
if(s!=Nul && s->color==RED)
{
p->parent->color = BLACK;
s->color = BLACK;
p=s->parent;
Init_Set(Root,p);
}
else
{
p = p->parent;
StateL(Root,p);
Init_Set(Root,p->left);
}
}
}
else
{
if(p->parent->right==p)// \ s
{
RbNode<Type> *s = p->parent->parent->left;
if(s!=Nul && s->color == RED)
{
p->parent->color = BLACK;
s->color = BLACK;
p = s->parent;
Init_Set(Root,p);
}
else
{
p->parent->color = BLACK;
p->parent->parent->color=RED;
p=p->parent->parent;
StateL(Root,p);
}
}
else
{
RbNode<Type> *s = p->parent->parent->left;
if(s!=Nul && s->color==RED)
{
p->parent->color = BLACK;
s->color = BLACK;
p=s->parent;
Init_Set(Root,p);
}
else
{
p = p->parent;
StateR(Root,p);
Init_Set(Root,p->right);
}
}
}
}
}
void StateL(RbNode<Type> *&t,RbNode<Type> *&p)
{
int flogs = 0;
RbNode<Type> *q = p->right;
RbNode<Type> *save = p->parent;
if(p==t){
flogs++;
}
p->right = q->left;
if(q->left)
q->left->parent = p;
q->left = p;
p->parent = q;
if(save)
{
if(save->left==p)
save->left=q;
else
save->right=q;
q->parent=save;
}
p = q;
if(flogs==1)
{Root = p;Root->parent=Start;}
}
void StateR(RbNode<Type> *&t,RbNode<Type> *&p)
{
int flogs = 0;
RbNode<Type> *q = p->left;
if(t==p)
flogs++;
RbNode<Type> *save = p->parent;
p->left = q->right;
if(q->right!=NULL)
q->right->parent = p;
q->right = p;
p->parent = q;
if(save!=NULL)
if(save->left==p)
{
save->left = q;
}
else
{
save->right=q;
}
q->parent = save;
p = q;
if(flogs==1){Root = p;Root->parent=Start;}
}
public:
void Printf()
{
Printf(Root);
}
void Remove(Type val)
{
Remove(Root,val);
}
private:
void Remove(RbNode<Type> *t,Type val)
{
RbNode<Type> *p = t;
RbNode<Type> *pr = NULL;
while(p!=NULL)
{
if(p->data == val)break;
if(p->data>val)p=p->left;
else p=p->right;
}
if(p==NULL)return ;
else
{
// t = p;
if(p->left!=NULL && p->right!=NULL)
{
pr = p->right;
while(pr->left!=NULL)pr=pr->left;
t->data = pr->data;
p = pr;
}
pr = p->parent;
if(t->left==p)
{
RbNode<Type> *s = p->right;
t->left = s;
if(s!=NULL)
{
s->parent = NULL;
s->parent = t;
}
if(p->color==BLACK)
{
if(s!=Nul && s->color==RED)
{
s->color=BLACK;
}
else if(s!=Nul && s->color==BLACK)
{
Remove_Set(Root,s);
}
}
else
{
RbNode<Type> *s = p->right;
t->left = s;
if(s!=NULL)
{
s->parent = NULL;
s->parent = t;
}
if(p->color==BLACK)
{
if(s!=Nul && s->color==RED)
{
s->color = BLACK;
}
else if(s!=Nul && s->color==BLACK)
{
Remove_Set(Root,s);
}
}
}
}
}
Root->color = BLACK;
delete p;p=NULL;
}
void Remove_Set(RbNode<Type> *&t,RbNode<Type> *p)
{
RbNode<Type> *s = p->parent->right;
while(p!=Start && p->color!=RED)
{
if(s!=NULL)
{
if(s->color==RED)
{
s->parent->color = RED;
s->color = BLACK;
s=s->parent;
StateL(Root,s);
}
else if(s->color==BLACK)
{
if(s->left!=NULL && s->right!=NULL)
{
if(s->left->color==BLACK && s->left->right->color==BLACK)
{
s->color = RED;
s->parent->color = BLACK;
p = s->parent;
}
else if(s->right->color==BLACK && s->left->color==RED)
{
StateR(Root,s);
}
else if(s->right->color==RED && s->color==BLACK)
{
s=s->parent;
StateL(Root,s);
p = s;
}
}
}
}
}
}
void Printf(RbNode<Type> *&t)
{
if(t==NULL)return ;
else
{
Printf(t->left);
cout<<t->data<<":"<<t->color<<"\t";
Printf(t->right);
}
}
RbNode<Type> *Start;
RbNode<Type> *Root;
RbNode<Type> *Nul;
};
int main()
{
int a[]={0,2,3,1,5,10,15,7,8};
RbTree<int> rb;
rb.Insert(a,9);
rb.Remove(5);
rb.Printf();
return 0;
}