POJ 2761 依然是平衡树

题目大意:


先给定一大堆数字,(下标从1开始!!! 我当从0了,WA掉了2次!)


然后给定区间[L, R]问[L,R]区间内,第K大的数字是谁。


先预先读取所有区间,把区间排序。 然后保证平衡树内只有区间内的元素…… 然后每次直接把区间内的元素问题解决掉……时间复杂度略高nlogn而且n特别大,跑了5秒多


2761 Accepted 4124K 5157MS G++ 3421B
依旧是ZKW模板的SPLAY


#include <cstring>
#include <cstdio>
#include <algorithm>
using namespace std;

const int max_n = 100005; 
const int maxint = 0x7fffffff;

struct node
{
	node *c[2];
	int key, size;
	node ()
	{
		key = size = 0;
		c[0] = c[1] = this;	
	}
	node (int KEY_, node *c0, node *c1)
	{
		key = KEY_;	
		c[0] = c0;
		c[1] = c1;
	}
	node* rz(){return size = c[0] -> size + c[1] -> size + 1, this;}
}Tnull, *null = &Tnull;


struct splay
{
	node *root;
	splay()
	{
		root = (new node(*null)) -> rz();
		root -> key = maxint;	
	}
	void zig(int d)
	{
		node *t = root -> c[d];	
		root ->c[d] = null -> c[d];
		null -> c[d] = root;
		root = t;
	}

	void zigzig(int d)
	{
		node *t = root -> c[d] -> c[d];
		root -> c[d] -> c[d] = null -> c[d];	
		null -> c[d] = root -> c[d];
		root -> c[d] = null -> c[d] -> c[!d];
		null -> c[d] -> c[!d] = root -> rz();
		root = t;
	}

	void finish(int d)
	{
		node *t = null -> c[d], *p = root -> c[!d];
		while (t != null)	
		{
			t = null -> c[d] -> c[d];	
			null -> c[d] -> c[d] = p;	
			p = null -> c[d] -> rz();
			null -> c[d] = t;	
		}
		root -> c[!d] = p;	
	}

	void select(int k)
	{
		int t;	
		while (1)
		{
			bool d = k > (t = root -> c[0] -> size);
			if (k == t || root -> c[d] == null)	break;
			if (d)	k -= t + 1;	
			bool dd = k > (t = root -> c[d] -> c[0] -> size);
			if (k == t || root -> c[d] -> c[dd] == null)	{zig(d); break;}
			if (dd)	k-= t+ 1;
			d != dd? zig(d), zig(dd) : zigzig(d);
		}
		finish(0), finish(1);
		root -> rz();
	}

	void search(int x)
	{
		while (1)	
		{
			bool d = x > root -> key;
			if (root -> c[d] == null)	break;
			bool dd = x > root -> c[d] -> key;
			if (root -> c[d] -> c[dd] == null){zig(d); break;}	
			d != dd ? zig(d), zig(dd) : zigzig(d);
		}
		finish(0), finish(1);
		root -> rz();
		if (x > root -> key)	select(root -> c[0] -> size + 1);
	}
	void ins(int x)
	{
		search(x);	
		node *oldroot = root;
		root = new node(x, oldroot -> c[0], oldroot);
		oldroot -> c[0] = null;
		oldroot -> rz();
		root -> rz();
	}
	void del(int x)
	{
		search(x);	
		node *oldroot = root;
		root = root -> c[1];
		select(0);
		root -> c[0] = oldroot -> c[0];
		root -> rz();
		delete oldroot;		
	}
	int sel(int k){return select(k -1), root -> key;}
	int ran(int x){return search(x), root -> c[0] -> size + 1;}
}sp;

struct question
{
	int L, R;
	int k;
	int ans;
	int wz;
}a[50005];
int save[max_n];

bool operator < (question A, question B)
{
	if (A.L == B.L)	return A.R < B.R;
	return A.L < B.L;
}
int n, q;

void init()
{
	scanf("%d%d", &n, &q);
	for (int i = 1; i <= n; ++ i)	scanf("%d", &save[i]);
	for (int i = 0; i != q; ++ i)	
	{
		scanf("%d%d%d", &a[i].L, &a[i].R, &a[i].k);
		a[i].wz = i;
	}
	sort(a, a + q);
}

int output[50005];
void doit()
{
	int just_L, just_R, now_L, now_R;
	just_L = a[0].L;	just_R = a[0].L - 1;
	for (int i = 0; i != q; ++ i)
	{
		now_L = a[i].L;	now_R = a[i].R;	
		for (int j = just_L; j != now_L; ++ j)	sp.del(save[j]);
		for (int j = just_R + 1; j <= now_R; ++ j)	sp.ins(save[j]);
		if (now_R < just_R)	for (int j = now_R + 1; j <= just_R; ++ j)	sp.del(save[j]);	
		output[a[i].wz] = sp.sel(a[i].k);
		just_L = now_L;
		just_R = now_R;
	}
	for (int i = 0; i != q; ++ i)	printf("%d\n",output[i]);
}


int main()
{
	init();
	doit();
	return 0;	
}


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