Luogu2343 宝石管理系统（平衡树）

平衡树维护总第K大；插入

#include <iostream>

#include <cstdio>

#include <cstring>

#include <algorithm>

#include <cmath>

#define R(a,b,c) for(register int  a = (b); a <= (c); ++ a)

#define nR(a,b,c) for(register int  a = (b); a >= (c); -- a)

#define Max(a,b) ((a) > (b) ? (a) : (b))

#define Min(a,b) ((a) < (b) ? (a) : (b))

#define Fill(a,b) memset(a, b, sizeof(a))

#define Abs(a) ((a) < 0 ? -(a) : (a))

#define Swap(a,b) a^=b^=a^=b

#define ll long long

#define ON_DEBUG

#ifdef ON_DEBUG

#define D_e_Line printf("\n\n----------\n\n")

#define D_e(x)  cout << #x << " = " << x << endl

#define Pause() system("pause")

#define FileOpen() freopen("in.txt","r",stdin);

#else

#define D_e_Line ;

#define D_e(x)  ;

#define Pause() ;

#define FileOpen() ;

#endif

struct ios{

    template<typename ATP>ios& operator >> (ATP &x){

        x = 0; int f = 1; char c;

        for(c = getchar(); c < '0' || c > '9'; c = getchar()) if(c == '-')  f = -1;

        while(c >= '0' && c <= '9') x = x * 10 + (c ^ '0'), c = getchar();

        x*= f;

        return *this;

    }

}io;

using namespace std;

const int N = 100007;

struct Treap{

	int ch[2], fa, tot, val, siz;

}t[N << 2];

int treeIndex, root;

inline void Pushup(int rt){

	t[rt].siz = t[t[rt].ch[0]].siz + t[t[rt].ch[1]].siz + t[rt].tot;

}

inline int Ident(int x){

	return t[t[x].fa].ch[1] == x;

}

inline void Rotate(int x){

	int y = t[x].fa, z = t[y].fa, k = Ident(x);

	t[z].ch[Ident(y)] = x, t[x].fa = z;

	t[y].ch[k] = t[x].ch[k ^ 1], t[t[x].ch[k ^ 1]].fa = y;

	t[x].ch[k ^ 1] = y, t[y].fa = x;

	Pushup(y), Pushup(x);

}

inline void Splay(int x, int pos){

	while(t[x].fa != pos){

		int y = t[x].fa, z = t[y].fa;

		if(z != pos){

			Ident(x) == Ident(y) ? Rotate(y) : Rotate(x);

		}

		Rotate(x);

	}

	if(!pos) root = x;

}

inline void Insert(int x){

	int u = root, fa = 0;

	while(u && t[u].val != x){

		fa = u;

		u = t[u].ch[x > t[u].val];

	}

	if(u){

		++t[u].tot;

	}

	else{

		u = ++treeIndex;

		t[u].val = x;

		t[u].ch[0] = t[u].ch[1] = 0;

		t[u].tot = t[u].siz = 1;

		t[u].fa = fa;

		if(fa) t[fa].ch[x > t[fa].val] = u;

	}

	Splay(u, 0);

}

inline int Kth(int x){

	int u = root;

	if(t[u].siz < x) return 0;

	while(1){

		int v = t[u].ch[1];

		if(t[v].siz + t[u].tot < x){

			x -= t[v].siz + t[u].tot;

			u = t[u].ch[0];

		}

		else if(t[v].siz >= x){

			u = v;

		}

		else{

			return t[u].val;

		}

	}

}

int main(){

//FileOpen();

	int n, m;

	io >> n >> m;

	Insert(2147483647);

	Insert(-2147483647);

	R(i,1,n){

		int x;

		io >> x;

		Insert(x);

	}

	while(m--){

		int opt, x;

		io >> opt >> x;

		if(opt == 1){

			printf("%d\n", Kth(x + 1));

		}

		else{

			Insert(x);

		}

	}

	return 0;

}

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