[BZOJ2827]千山鸟飞绝

bzoj

sol

每个位置维护一棵平衡树，每次插入的时候更新答案即可。
至于位置离散的话，开了\(map\)不就好了么。。。

#include<cstdio>
#include<algorithm>
#include<map>
using namespace std;
int gi(){
	int x=0,w=1;char ch=getchar();
	while ((ch<'0'||ch>'9')&&ch!='-') ch=getchar();
	if (ch=='-') w=0,ch=getchar();
	while (ch>='0'&&ch<='9') x=(x<<3)+(x<<1)+ch-'0',ch=getchar();
	return w?x:-x;
}
#define pi pair<int,int>
#define mk make_pair
#define cmax(a,b) (a<b?a=b:a)
const int N = 4e5+5;
int n,m,w[N],val[N],pos[N],rt[N],tot,tj[N],sq[N],fa[N],ch[2][N],sz[N],tt[N],ts[N],S[N];
map<pi,int>M;
bool son(int x){
	return x==ch[1][fa[x]];
}
void pushup(int x){
	sz[x]=sz[ch[0][x]]+1+sz[ch[1][x]];
	val[x]=max(w[x],max(val[ch[0][x]],val[ch[1][x]]));
}
void cover(int x,int _t,int _s){
	cmax(tj[x],_t);cmax(sq[x],_s);
	cmax(tt[x],_t);cmax(ts[x],_s);
}
void pushdown(int x){
	if (ch[0][x]) cover(ch[0][x],tt[x],ts[x]);
	if (ch[1][x]) cover(ch[1][x],tt[x],ts[x]);
	tt[x]=ts[x]=0;
}
void rotate(int x){
	int y=fa[x],z=fa[y],c=son(x);
	ch[c][y]=ch[c^1][x];if (ch[c][y]) fa[ch[c][y]]=y;
	fa[x]=z;if (z) ch[son(y)][z]=x;
	ch[c^1][x]=y;fa[y]=x;pushup(y);
}
void splay(int x,int goal){
	S[S[0]=1]=x;
	for (int i=x;fa[i];i=fa[i]) S[++S[0]]=fa[i];
	while (S[0]) pushdown(S[S[0]--]);
	for (int y=fa[x];y!=goal;rotate(x),y=fa[x])
		if (fa[y]!=goal) son(x)^son(y)?rotate(x):rotate(y);
	pushup(x);if (!goal) rt[pos[x]]=x;
}
void insert(int y){
	if (!rt[pos[y]]) {rt[pos[y]]=y;pushup(y);return;}
	cover(rt[pos[y]],w[y],sz[rt[pos[y]]]);
	cmax(tj[y],val[rt[pos[y]]]);cmax(sq[y],sz[rt[pos[y]]]);
	int x=rt[pos[y]];
	while (233){
		pushdown(x);
		if (y<x)
			if (!ch[0][x]){
				fa[ch[0][x]=y]=x;splay(y,0);return;
			}else x=ch[0][x];
		else
			if (!ch[1][x]){
				fa[ch[1][x]=y]=x;splay(y,0);return;
			}else x=ch[1][x];
	}
}
int pre(int y){
	int x=ch[1][y];
	while (ch[0][x]) pushdown(x),x=ch[0][x];
	splay(x,y);return x;
}
void erase(int y){
	splay(y,0);
	if (!ch[1][y]) {fa[rt[pos[y]]=ch[0][y]]=0;ch[0][y]=0;return;}
	int x=pre(y);
	fa[rt[pos[y]]=fa[ch[0][x]=ch[0][y]]=x]=0;
	ch[0][y]=ch[1][y]=0;pushup(x);
}
void dfs(int x){
	if (!x) return;pushdown(x);
	dfs(ch[0][x]);dfs(ch[1][x]);
}
int main(){
	n=gi();
	for (int i=1;i<=n;++i){
		w[i]=gi();int x=gi(),y=gi();
		if (!M[mk(x,y)]) M[mk(x,y)]=++tot;
		pos[i]=M[mk(x,y)];insert(i);
	}
	m=gi();while (m--){
		int v=gi(),x=gi(),y=gi();
		if (!M[mk(x,y)]) M[mk(x,y)]=++tot;
		erase(v);pos[v]=M[mk(x,y)];insert(v);
	}
	for (int i=1;i<=tot;++i) dfs(rt[i]);
	for (int i=1;i<=n;++i) printf("%lld\n",1ll*tj[i]*sq[i]);
	return 0;
}