#include<bits_stdc++.h>
#define max 50
using namespace std;
typedef struct bstnode//BST结构
{
int data;
bstnode *lc;
bstnode *rc;
}bt,*bst;
typedef struct avltnode//AVL
{
int data;
int bf;//balance factor
avltnode *lc;
avltnode *rc;
}*avltt;
void rightrotate(avltt *p)//right rotate
{
avltt l=(*p)->lc;//l指向p的左子树
(*p)->lc=l->rc;//l的右子树挂接为p的左子树
l->rc=(*p);
*p=l;
}
void leftrotate(avltt *p)//left rotate
{
avltt r=(*p)->rc;
(*p)->rc=r->lc;
r->lc=(*p);
*p=r;
}
void leftbalance(avltt *t)//left balance
{
avltt l,r;
l=(*t)->lc;
switch(l->bf)
{
case 1:
(*t)->bf=l->bf=0;
rightrotate(t);
break;
case -1:
r = l->rc; //rd指向T的左孩子的右子树的根结点
switch(r->bf) //修改T及其左孩子的平衡因子
{
case 1:
(*t)->bf = -1;
l->bf = 0;
break;
case 0:
(*t)->bf = l->bf = 0;
break;
case -1:
(*t)->bf = 0;
l->bf = 1;
break;
}
r->bf = 0;
leftrotate(&(*t)->lc);
rightrotate(t);
break;
}
}
void rightbalance(avltt *t)//right balance
{
avltt lc,rd;
lc= (*t)->rc;
switch (lc->bf)
{
case -1:
(*t)->bf = lc->bf = 0;
leftrotate(t);
break;
case 1:
rd = lc->lc;
switch(rd->bf)
{
case 1:
(*t)->bf = 0;
lc->bf = -1;
break;
case 0:
(*t)->bf = lc->bf = 0;
break;
case -1:
(*t)->bf = 0;
lc->bf = 1;
break;
}
rd->bf = 0;
rightrotate(&(*t)->rc);
leftrotate(t);
break;
}
}
int insertavl(avltt *T,int e,bool *taller)//insert AVL
{
if ((*T)==NULL)
{
(*T)=(avltt)malloc(sizeof(avltnode));
(*T)->bf = 0;
(*T)->data = e;
(*T)->lc = NULL;
(*T)->rc = NULL;
*taller = true;
}
else if (e == (*T)->data)
{
*taller = false;
return 0;
}
else if (e < (*T)->data)
{
if(!insertavl(&(*T)->lc,e,taller))
return 0;
if(*taller)
{
switch ((*T)->bf)
{
case 1:
leftbalance(T);
*taller = false;
break;
case 0:
(*T)->bf = 1;
*taller = true;
break;
case -1:
(*T)->bf = 0;
*taller = false;
break;
}
}
}
else
{
if(!insertavl(&(*T)->rc,e,taller))
return 0;
if (*taller)
{
switch ((*T)->bf)
{
case 1:
(*T)->bf = 0;
*taller = false;
break;
case 0:
(*T)->bf = -1;
*taller = true;
break;
case -1:
rightbalance(T);
*taller = false;
break;
}
}
}
return 1;
}
int searcht(bst t,int k)//search BST
{
if(!t)
{
cout<<"false"<<endl;
//*p=f;
return 0;
}
else if(k==t->data)
{
cout<<"find"<<endl;
//*p=t;
return 1;
}
else if(k<t->data)
searcht(t->lc,k);
else
searcht(t->rc,k);
}
int search2(bst t,bst f,int k,bst *p)
{
if(!t)
{
*p=f;return 0;
}
else if (k==t->data)
{
*p=t;
return 1;
}
else if(k<t->data)
{
return search2(t->lc,t,k,p);
}
else
{
return search2(t->rc,t,k,p);
}
}
void insertt(bst *t,int k)//insert BST
{
bst p,s;
if(!search2(*t,NULL,k,&p))//can‘t find
{
s=(bst)malloc(sizeof(bstnode));
s->data=k;
s->lc=s->rc=NULL;
if(!p)
*t=s;
else if(k<p->data)
p->lc=s;
else
p->rc=s;
}
else
cout<<k<<"已存在"<<endl;
}
void deletee(bst *p)//删除、重接
{
bst q,s;
if((*p)->rc==NULL)
{
q=(*p);(*p)=(*p)->lc;
free(q);
}
else if((*p)->lc==NULL)
{
q=*p;*p=(*p)->rc;
free(q);
}
else
{
q=*p;s=(*p)->lc;
while(s->rc)
{
q=s;
s=s->rc;
}
(*p)->data=s->data;
if(q!=*p)
q->rc=s->lc;
else
q->lc=s->lc;
free(s);
}
}
void deletet(bst *t,int k)//delete BST
{
if(k==(*t)->data)
deletee(t);
else if(k<(*t)->data)
deletet(&(*t)->lc,k);
else
deletet(&(*t)->rc,k);
}
void displaybst(bst t)//pre-order BST
{
if(t)
{
cout<<t->data<<" ";
displaybst(t->lc);
displaybst(t->rc);
}
}
void displayavlt(avltt t)//pre-order AVL
{
if(t)
{
cout<<t->data<<" ";
displayavlt(t->lc);
displayavlt(t->rc);
}
}
int main ()
{
int i,c=0;
int a[max];
bst t=NULL,p;
avltt avlt=NULL;
bool taller;
cout<<"产生随机数为:"<<endl;
for(i=0;i<max;i++)
{
a[i]=(rand()%100);
cout<<a[i]<<" ";
if((i+1)%10==0)cout<<endl;
}
for(i=0;i<max;i++)//build BST
insertt(&t,a[i]);
cout<<"binary sort tree:"<<endl;
displaybst(t);
for(i=0;i<max;i++)//build AVL tree
insertavl(&avlt,a[i],&taller);
cout<<endl<<"AVL tree:"<<endl;
displayavlt(avlt);
int k;
for(c;c!=4;)
{
cout<<endl<<"请选择BST操作（1：search,2:insert,3:delete,4:qiut）"<<endl;
cin>>c;
if(c==4)break;
switch(c)
{
case 1:
cout<<"请输入查找值:"<<endl;cin>>k;searcht(t,k);break;
case 2:
cout<<"请输入插入值:"<<endl;cin>>k;insertt(&t,k);
cout<<"插入后为:"<<endl;displaybst(t);break;
case 3:
cout<<"请输入删除值:"<<endl;cin>>k;deletet(&t,k);
cout<<"删除后为:"<<endl;displaybst(t);break;
}
}
return 0;
}