非旋转Treap——普通平衡树

扔板跑……

 1 #include<bits/stdc++.h>
 2 #define N 100010
 3 #define mp make_pair
 4 using namespace std;
 5 typedef pair<int,int> par;
 6 int n,x,rt;
 7 struct Treap_Without_rotate{
 8     int ls[N],rs[N],rnd[N],val[N],size[N],cnt;
 9     inline void pushup(int x){size[x]=size[ls[x]]+size[rs[x]]+1;}
10     par split(int k,int x){
11         if(!x)return mp(0,k);int l=ls[k],r=rs[k];
12         if(x==size[l]){ls[k]=0;pushup(k);return mp(l,k);}
13         if(x==size[l]+1){rs[k]=0;pushup(k);return mp(k,r);}
14         if(x<size[l]){
15             par tmp=split(l,x);
16             ls[k]=tmp.second;pushup(k);return mp(tmp.first,k);
17         }
18         par tmp=split(r,x-size[l]-1);
19         rs[k]=tmp.first;pushup(k);return mp(k,tmp.second);
20     }
21     int merge(int x,int y){
22         if(x==0||y==0)return x+y;
23         if(rnd[x]<rnd[y]){rs[x]=merge(rs[x],y);pushup(x);return x;}
24         else{ls[y]=merge(x,ls[y]);pushup(y);return y;}
25     }
26     int queryrank(int x,int k){
27         int ans=0,tmp=(int)1e9;
28         while(k){
29             if(x==val[k])tmp=min(tmp,ans+size[ls[k]]+1);
30             if(x>val[k])ans+=size[ls[k]]+1,k=rs[k];
31             else k=ls[k];
32         }
33         return tmp==(int)1e9?ans:tmp;
34     }
35     int find(int x,int k){
36         for(;;){
37             if(size[ls[k]]==x-1)return val[k];
38             if(size[ls[k]]>x-1)k=ls[k];
39             else x=x-size[ls[k]]-1,k=rs[k];
40         }
41     }
42     int querypre(int x,int k){
43         int ans=-(int)1e9;
44         while(k){
45             if(val[k]<x)ans=max(ans,val[k]),k=rs[k];
46             else k=ls[k];
47         }return ans;
48     }
49     int querysub(int x,int k){
50         int ans=(int)1e9;
51         while(k){
52             if(val[k]>x)ans=min(ans,val[k]),k=ls[k];
53             else k=rs[k];
54         }return ans;
55     }
56     void ins(int x){
57         int k=queryrank(x,rt);par tmp=split(rt,k);
58         val[++cnt]=x;rnd[cnt]=rand();size[cnt]=1;
59         rt=merge(tmp.first,cnt);rt=merge(rt,tmp.second);
60     }
61     void del(int x){
62         int k=queryrank(x,rt);par t1=split(rt,k),t2=split(t1.first,k-1);
63         rt=merge(t2.first,t1.second);
64     }
65 }T;
66 inline int read(){
67     int f=1,x=0;char ch;
68     do{ch=getchar();if(ch=='-')f=-1;}while(ch<'0'||ch>'9');
69     do{x=x*10+ch-'0';ch=getchar();}while(ch>='0'&&ch<='9');
70     return f*x;
71 }
72 int main(){
73     n=read();srand(19260817);
74     for(int i=1;i<=n;i++){
75         int opt=read(),x=read();
76         if(opt==1)T.ins(x);
77         if(opt==2)T.del(x);
78         if(opt==3)printf("%d\n",T.queryrank(x,rt));
79         if(opt==4)printf("%d\n",T.find(x,rt));
80         if(opt==5)printf("%d\n",T.querypre(x,rt));
81         if(opt==6)printf("%d\n",T.querysub(x,rt));
82     }
83     return 0;
84 }

 

posted @ 2017-05-19 09:19  zcysky  阅读(685)  评论(0)  编辑  收藏  举报