oj.uz

답안 #1004745

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
1004745 2024-06-21T13:34:52 Z amirhoseinfar1385 Nestabilnost (COI23_nestabilnost) C++17
32 / 100
 921 ms 179680 KB 
#include<bits/stdc++.h>
using namespace std;
const long long maxn=300000+10,lg=19,kaf=(1<<lg);
vector<long long>adj[maxn];
long long sz[maxn],all[maxn],wa[maxn],n,inf=1e16,inf2=1e13;
 
struct segment{
	struct node{
		long long mina,lazy,vis,aval,asl;
		node(){
			mina=0;
			lazy=0;
			vis=0;
			aval=0;
			asl=inf;
		}
	};
	long long fen[maxn];
	node seg[(1<<(lg+1))];
	void ins(long long i,long long w){
		seg[kaf+i].mina=w;
		seg[kaf+i].aval=w;
		fen[i]=w;
	}
	void build(){
		for(long long i=kaf-1;i>=1;i--){
			seg[i].mina=min(seg[(i<<1)].mina,seg[(i<<1)^1].mina);
			seg[i].aval=seg[i].mina;
		}
	}
	void calc(long long i){
		seg[i].vis=1;
		if(i>=kaf){
			seg[i].mina+=seg[i].lazy;
			seg[i].lazy=0;
			seg[i].mina=min(seg[i].mina,seg[i].aval+seg[i].asl);
			seg[i].asl=inf;
			return ;
		}
		seg[i].mina=min(seg[(i<<1)].mina+seg[(i<<1)].lazy,seg[(i<<1)^1].lazy+seg[(i<<1)^1].mina);
		seg[i].mina=min(seg[i].mina,min(seg[(i<<1)].aval+seg[(i<<1)].asl,seg[(i<<1)^1].aval+seg[(i<<1)^1].asl));
	}
	void shift(long long i){
		seg[i].vis=1;
		if(i>=kaf){
			return ;
		}
		seg[(i<<1)].vis=seg[(i<<1)^1].vis=1;
		if(seg[i].lazy!=0){
			seg[(i<<1)].lazy+=seg[i].lazy;
			seg[(i<<1)^1].lazy+=seg[i].lazy;
			seg[i].lazy=0;
		}
		seg[(i<<1)].asl=min(seg[(i<<1)].asl,seg[i].asl);
		seg[(i<<1)^1].asl=min(seg[(i<<1)^1].asl,seg[i].asl);
		seg[i].asl=inf;
	}
	void push(long long i,long long l,long long r,long long tl,long long tr,long long w){
		if(l>r||l>tr||r<tl||tl>tr){
			return ;
		}
		if(l>=tl&&r<=tr){
			shift(i);
			calc(i);
			seg[i].asl=min(seg[i].asl,w);
			shift(i);
			calc(i);
			return ;
		}
		shift(i);
		long long m=(l+r)>>1;
		push((i<<1),l,m,tl,tr,w);
		push((i<<1)^1,m+1,r,tl,tr,w);
		calc(i);
	}
	void upd(long long i,long long l,long long r,long long tl,long long tr,long long w){
		if(l>r||l>tr||r<tl||tl>tr){
			return ;
		}
		if(l>=tl&&r<=tr){
			seg[i].lazy+=w;
			shift(i);
			calc(i);
			return ;
		}
		shift(i);
		long long m=(l+r)>>1;
		upd((i<<1),l,m,tl,tr,w);
		upd((i<<1)^1,m+1,r,tl,tr,w);
		calc(i);
	}
	long long getmin(long long i,long long l,long long r,long long tl,long long tr){
		if(l>r||l>tr||r<tl||tl>tr){
			return inf;
		}
		shift(i);
		calc(i);
		if(l>=tl&&r<=tr){
			return seg[i].mina+seg[i].lazy;
		}
		long long m=(l+r)>>1;
		return min(getmin((i<<1),l,m,tl,tr),getmin((i<<1)^1,m+1,r,tl,tr));
	}
	void clear(long long i=1,int l=0,int r=kaf-1,int tl=1,int tr=n+10){
		if(l>r||l>tr||r<tl||tl>tr||seg[i].vis==0){
			return ;
		}
		if(l>=tl&&r<=tr){
			seg[i].vis=0;
			seg[i].mina=seg[i].aval;
			seg[i].lazy=0;
			seg[i].asl=inf;
		}else{
			shift(i);
		}
		if(l==r){
			if(!(l>=tl&&r<=tr)){
				calc(i);
			}
			return ;
		}
		int m=(l+r)>>1;
		clear((i<<1),l,m,tl,tr);
		clear((i<<1)^1,m+1,r,tl,tr);
		if(!(l>=tl&&r<=tr)){
			calc(i);
		}
	}
}seg;
 
bool cmp(long long a,long long b){
	return sz[a]>sz[b];
}
 
void predfs(long long u,long long par=-1){
	if(par!=-1){
		sort(adj[u].begin(),adj[u].end());
		adj[u].erase(lower_bound(adj[u].begin(),adj[u].end(),par));
	}
	sz[u]=1;
	for(auto x:adj[u]){
		predfs(x,u);
		sz[u]+=sz[x];
	}
	sort(adj[u].begin(),adj[u].end(),cmp);
}
 
void vorod(){
	cin>>n;
	for(long long i=1;i<=n;i++){
		cin>>all[i];
	}
	for(long long i=1;i<=n;i++){
		cin>>wa[i];
	}
	for(long long i=0;i<n-1;i++){
		long long u,v;
		cin>>u>>v;
		adj[u].push_back(v);
		adj[v].push_back(u);
	}
}
 
void pre(){
	predfs(1);
	for(long long i=1;i<=n;i++){
		seg.ins(i,wa[i]);
	}
	seg.build();
}
set<long long>allind[maxn];
long long mainres=0;
 
long long dfs(long long u){
	long long ret=0;
	vector<pair<pair<long long,long long>,long long>>alle;
	for(long long i=1;i<(long long)adj[u].size();i++){
		long long v=adj[u][i];
		long long re=dfs(v);
		if(all[v]!=0&&all[v]-1!=all[u]){
			mainres+=re;
			seg.clear();
			continue;
		}
		allind[v].insert(all[u]+1);
		allind[v].insert(all[u]+2);
		allind[v].insert(1);
		deque<long long>tof;
		for(auto x:allind[v]){
			tof.push_back(x);
		}
		tof.push_back(n+1);
		if(all[v]==all[u]+1){
			seg.upd(1,0,kaf-1,1,all[v],inf2);
		}else{
			seg.upd(1,0,kaf-1,1,all[u],inf2);
			seg.upd(1,0,kaf-1,all[u]+2,n,inf2);
		}
		for(long long i=0;i<(long long)tof.size()-1;i++){
			if(tof[i+1]==tof[i]){
				continue;
			}
			long long w=seg.getmin(1,0,kaf-1,tof[i],tof[i])-wa[tof[i]];
			w=min(re,w);
			if(tof[i]<=all[v]){
				w=re;
			}
			alle.push_back(make_pair(make_pair(tof[i],tof[i+1]-1),w));
		}
		seg.clear();
	}
	if((int)adj[u].size()==0){
		return seg.getmin(1,0,kaf-1,all[u]+1,n);
	}
	long long v=adj[u][0];
	long long re=dfs(v);
	//wrf: 
	//for(int i=1;i<=n;i++){
	//	if(seg.fen[i]>re+wa[i]){
	//		seg.fen[i]=re+wa[i];
	//	}
	//}
	seg.push(1,0,kaf-1,1,n,re);
	if(all[v]!=0&&all[v]-1!=all[u]){
		mainres+=re;
		seg.clear();
	}else{
		swap(allind[u],allind[v]);
		allind[u].insert(all[u]+1);
		allind[u].insert(all[u]+2);
		if(all[v]==all[u]+1){
			seg.clear(1,0,kaf-1,1,all[v]);
			seg.upd(1,0,kaf-1,1,all[v],re);
		}else{
			seg.clear(1,0,kaf-1,1,all[u]);
			seg.clear(1,0,kaf-1,all[u]+2,n);
			seg.upd(1,0,kaf-1,1,all[u],re);
			seg.upd(1,0,kaf-1,all[u]+2,n,re);
		}
	}
	for(auto x:alle){
		allind[u].insert(x.first.first);
		allind[u].insert(x.first.second+1);
		seg.upd(1,0,kaf-1,x.first.first,x.first.second,x.second);
	}
	ret+=seg.getmin(1,0,kaf-1,all[u]+1,n);
	return ret;
}
 
void solve(){
	mainres+=dfs(1);
	cout<<mainres<<"\n";
}
 
 
int main(){
	ios::sync_with_stdio(0);
	cin.tie(0);
	vorod();
	pre();
	solve();
}

Subtask #1
12.0 / 12.0

# 결과 실행 시간 메모리 Grader output
1 Correct 22 ms 71516 KB Output is correct
2 Correct 22 ms 71516 KB Output is correct
3 Correct 24 ms 71512 KB Output is correct
4 Correct 23 ms 71516 KB Output is correct
5 Correct 22 ms 71508 KB Output is correct
6 Correct 23 ms 71512 KB Output is correct

Subtask #2
20.0 / 20.0

# 결과 실행 시간 메모리 Grader output
1 Correct 921 ms 165788 KB Output is correct
2 Correct 708 ms 170068 KB Output is correct
3 Correct 776 ms 170368 KB Output is correct
4 Correct 894 ms 179680 KB Output is correct
5 Correct 767 ms 170048 KB Output is correct
6 Correct 822 ms 169808 KB Output is correct
7 Correct 818 ms 170064 KB Output is correct
8 Correct 751 ms 170276 KB Output is correct
9 Correct 817 ms 172364 KB Output is correct

Subtask #3
0 / 7.0

# 결과 실행 시간 메모리 Grader output
1 Incorrect 12 ms 70220 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #4
0 / 22.0

# 결과 실행 시간 메모리 Grader output
1 Correct 22 ms 71516 KB Output is correct
2 Correct 22 ms 71516 KB Output is correct
3 Correct 24 ms 71512 KB Output is correct
4 Correct 23 ms 71516 KB Output is correct
5 Correct 22 ms 71508 KB Output is correct
6 Correct 23 ms 71512 KB Output is correct
7 Incorrect 12 ms 70220 KB Output isn't correct
8 Halted 0 ms 0 KB -

Subtask #5
0 / 39.0

# 결과 실행 시간 메모리 Grader output
1 Correct 22 ms 71516 KB Output is correct
2 Correct 22 ms 71516 KB Output is correct
3 Correct 24 ms 71512 KB Output is correct
4 Correct 23 ms 71516 KB Output is correct
5 Correct 22 ms 71508 KB Output is correct
6 Correct 23 ms 71512 KB Output is correct
7 Correct 921 ms 165788 KB Output is correct
8 Correct 708 ms 170068 KB Output is correct
9 Correct 776 ms 170368 KB Output is correct
10 Correct 894 ms 179680 KB Output is correct
11 Correct 767 ms 170048 KB Output is correct
12 Correct 822 ms 169808 KB Output is correct
13 Correct 818 ms 170064 KB Output is correct
14 Correct 751 ms 170276 KB Output is correct
15 Correct 817 ms 172364 KB Output is correct
16 Incorrect 12 ms 70220 KB Output isn't correct
17 Halted 0 ms 0 KB -