自己总结的一个平衡树Treap模版,自己测试了一下,感觉没什么错误,但总感觉有bug,请大家指教一下,下面是自己测试时写的测试用的代码,请无视
#include <stdio.h>
#include <string.h>
#include <stdlib.h>
#include <iostream>
#include <algorithm>
using namespace std;
typedef long long ll;
const int inf=0x3f3f3f3f;
const int maxn=100010;
struct Treap_Node{
Treap_Node *left,*right;
int value,fix;//fix为修正值,是随机产生的,保证二叉树不会退化的重要环节
};
Treap_Node *root;
void Treap_Print(Treap_Node *P){//从小到大输出
if(P){
Treap_Print(P->left);
printf("%d\n",P->value);
Treap_Print(P->right);
}
}
void Treap_Left_Rotate(Treap_Node *&a){//左旋之后仍不改变二叉树性质
Treap_Node *b=a->right;
a->right=b->left;
b->left=a;
a=b;
}
void Treap_Right_Rotate(Treap_Node *&a){//右旋之后仍不改变二叉树性质
Treap_Node *b=a->left;
a->left=b->right;
b->right=a;
a=b;
}
int Treap_Find(Treap_Node *P,int value){//查找有没有value这个数
if(!P) return 0;
if(P->value==value) return 1;
else if(value<P->value) return Treap_Find(P->left,value);
else return Treap_Find(P->right,value);
}
void Treap_Insert(Treap_Node *&P,int value){//插入一个数
if(!P){
P=new Treap_Node;
P->left=P->right=NULL;//左右儿子均为空
P->value=value;
P->fix=rand();
}
else if(value<=P->value){
Treap_Insert(P->left,value);
if(P->left->fix<P->fix)
Treap_Right_Rotate(P);
}
else{
Treap_Insert(P->right,value);
if(P->right->fix<P->fix)
Treap_Left_Rotate(P);
}
}
void Treap_Delete(Treap_Node *&P,int value){//删除一个数
if(value==P->value){
if(!P->right||!P->left){//只有一个节点直接删除
Treap_Node *t=P;
if(!P->right) P=P->left;
else P=P->right;
delete t;
}else{
if(P->left->fix<P->right->fix){//左儿子修正值较小,右旋
Treap_Right_Rotate(P);
Treap_Delete(P->right,value);
}else{//右儿子修正值较小,左旋
Treap_Left_Rotate(P);
Treap_Delete(P->left,value);
}
}
}else if(value<P->value) Treap_Delete(P->left,value);
else Treap_Delete(P->right,value);
}
int main(){
int m,a;
char ch;
while(scanf("%d",&m)!=-1){
root=NULL;
Treap_Insert(root,2);
Treap_Insert(root,3);
Treap_Insert(root,1);
Treap_Print(root);
while(m--){
getchar();
scanf("%c",&ch);
if(ch=='F'){
scanf("%d",&a);
int t=Treap_Find(root,a);
if(t) printf("Found\n");
else printf("Not Found\n");
}else if(ch=='I'){
scanf("%d",&a);
Treap_Insert(root,a);
}else if(ch=='P'){
Treap_Print(root);
}else if(ch=='D'){
scanf("%d",&a);
Treap_Delete(root,a);
}
}
}
return 0;
}