Treap37分求调,壶关!!!
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Treap37分求调,壶关!!!
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Makerlike楼主2023/11/24 22:49
#include<iostream>
#include<cstdio>
#include<cstring>
#include<algorithm>
using namespace std;
const int N=1e5+10;
const int INF=1e8;
int n;
struct Treap{
	int l,r;
	int key,val;
	int cnt,size;
}tr[N];
int root,idx;
void pushup(int p){
	tr[p].size=tr[tr[p].l].size+tr[tr[p].r].size+tr[p].cnt;
}
int get_treap(int key){
	tr[++idx].key=key;
	tr[idx].val=rand();
	tr[idx].cnt=tr[idx].size=1;
	return idx;
}
void zig(int &p){//右旋 
	int q=tr[p].l;
	tr[p].l=tr[q].r;
	tr[q].r=p;
	p=q;
	pushup(tr[p].r);
	pushup(p);
}
void zag(int &p){//左旋 
	int q=tr[p].r;
	tr[p].r=tr[q].l;
	tr[q].l=p;
	p=q;
	pushup(tr[p].l);
	pushup(p);
}
void build(){
	get_treap(-INF);
	get_treap(INF);
	root=1;
	tr[1].r=2;
	pushup(root);
	if(tr[1].val<tr[2].val)
		zag(root);
}
void insert(int &p,int key){
	if(!p)
		p=get_treap(key);
	else if(tr[p].key==key)
		tr[p].cnt++;
	else if(tr[p].key>key){
		insert(tr[p].l,key);
		if(tr[tr[p].l].val>tr[p].val)
			zig(p);
	}
	else{
		insert(tr[p].r,key);
		if(tr[tr[p].r].val>tr[p].val)
			zag(p);
	}
	pushup(p);
}
void remove(int &p,int key){
	if(!p)
		return;
	if(tr[p].key==key){
		if(tr[p].cnt>1)
			tr[p].cnt--;
		else if(tr[p].l||tr[p].r){
			if(!tr[p].r||tr[tr[p].l].val>tr[tr[p].r].val){
				zig(p);
				remove(tr[p].r,key);
			}
			else{
				zag(p);
				remove(tr[p].l,key);
			}
		}
		else
			p=0;
	}
	else if(tr[p].key>key)
		remove(tr[p].l,key);
	else
		remove(tr[p].l,key);
	pushup(p);
}
int get_rank_by_key(int p,int key){
	if(!p)
		return 1;
	if(tr[p].key==key)
		return tr[tr[p].l].size+1;
	if(tr[p].key>key)
		return get_rank_by_key(tr[p].l,key);
	return tr[tr[p].l].size+tr[p].cnt+get_rank_by_key(tr[p].r,key);
}
int get_key_by_rank(int p,int rank){
	if(!p)
		return INF;
	if(tr[tr[p].l].size>=rank)
		return get_key_by_rank(tr[p].l,rank);
	if(tr[tr[p].l].size+tr[p].cnt>=rank)
		return tr[p].key;
	return get_key_by_rank(tr[p].r,rank-tr[tr[p].l].size-tr[p].cnt);
}
int get_prev(int p,int key){
	if(!p)
		return -INF;
	if(tr[p].key>=key)
		return get_prev(tr[p].l,key);
	return max(tr[p].key,get_prev(tr[p].r,key));
}
int get_nxt(int p,int key){
	if(!p)
		return INF;
	if(tr[p].key<=key)
		return get_nxt(tr[p].r,key);
	return min(tr[p].key,get_nxt(tr[p].l,key));
}
signed main(){
	scanf("%d",&n);
	build();
	for(int i=1;i<=n;i++){
		int opt,x;
		scanf("%d %d",&opt,&x);
		if(opt==1)
			insert(root,x);
		else if(opt==2)
			remove(root,x);
		else if(opt==3)
			printf("%d\n",get_rank_by_key(root,x)-1);
		else if(opt==4)
			printf("%d\n",get_key_by_rank(root,x+1));
		else if(opt==5)
			printf("%d\n",get_prev(root,x));
		else if(opt==6)
			printf("%d\n",get_nxt(root,x));
	}
	return 0;
}
2023/11/24 22:49
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