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Submission #1005060

# Submission time Handle Problem Language Result Execution time Memory
1005060 2024-06-22T06:50:00 Z amirhoseinfar1385 Nestabilnost (COI23_nestabilnost) C++17
61 / 100
 1483 ms 179540 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=1e17,inf2=1e17;
 
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;
			return ;
		}
		seg[i].mina=min(seg[(i<<1)].mina+seg[(i<<1)].lazy,seg[(i<<1)^1].lazy+seg[(i<<1)^1].mina);
	}
	void calcasl(int 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].asl+seg[i].aval);
			seg[i].asl=inf;
			return ;
		}
		seg[(i<<1)].vis=seg[(i<<1)^1].vis=1;
		seg[(i<<1)].lazy+=seg[i].lazy;
		seg[(i<<1)^1].lazy+=seg[i].lazy;
		seg[i].lazy=0;
		calc(i);
		seg[i].mina=min(seg[i].mina,seg[i].asl+seg[i].aval);
	}
	void shift(long long i){
		if(seg[i].asl==inf){
			seg[i].vis=1;
			if(i>=kaf){
				return ;
			}
			seg[(i<<1)].vis=seg[(i<<1)^1].vis=1;
			seg[(i<<1)].lazy+=seg[i].lazy;
			seg[(i<<1)^1].lazy+=seg[i].lazy;
			seg[i].lazy=0;
			calc(i);
		}else{
			seg[i].vis=seg[(i<<1)].vis=seg[(i<<1)^1].vis=1;
			seg[(i<<1)].asl=seg[i].asl;
			seg[(i<<1)^1].asl=seg[i].asl;
			seg[i].asl=inf;
			calcasl((i<<1));
			calcasl((i<<1)^1);
			seg[(i<<1)].lazy+=seg[i].lazy;
			seg[(i<<1)^1].lazy+=seg[i].lazy;
			seg[i].lazy=0;
			calc(i);
		}
	}
	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=w;
			calcasl(i);
			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){
			shift(i);
			calc(i);
			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

# Verdict Execution time Memory Grader output
1 Correct 24 ms 71512 KB Output is correct
2 Correct 26 ms 71512 KB Output is correct
3 Correct 26 ms 71516 KB Output is correct
4 Correct 25 ms 71516 KB Output is correct
5 Correct 27 ms 71512 KB Output is correct
6 Correct 25 ms 71620 KB Output is correct

Subtask #2
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1164 ms 170560 KB Output is correct
2 Correct 798 ms 170636 KB Output is correct
3 Correct 936 ms 170580 KB Output is correct
4 Correct 1167 ms 179540 KB Output is correct
5 Correct 968 ms 170576 KB Output is correct
6 Correct 994 ms 170632 KB Output is correct
7 Correct 951 ms 170632 KB Output is correct
8 Correct 995 ms 170832 KB Output is correct
9 Correct 1006 ms 172880 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 69980 KB Output is correct
2 Correct 11 ms 69980 KB Output is correct
3 Correct 10 ms 69724 KB Output is correct
4 Correct 11 ms 69808 KB Output is correct
5 Correct 10 ms 69980 KB Output is correct
6 Correct 10 ms 69724 KB Output is correct
7 Correct 11 ms 69740 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 24 ms 71512 KB Output is correct
2 Correct 26 ms 71512 KB Output is correct
3 Correct 26 ms 71516 KB Output is correct
4 Correct 25 ms 71516 KB Output is correct
5 Correct 27 ms 71512 KB Output is correct
6 Correct 25 ms 71620 KB Output is correct
7 Correct 11 ms 69980 KB Output is correct
8 Correct 11 ms 69980 KB Output is correct
9 Correct 10 ms 69724 KB Output is correct
10 Correct 11 ms 69808 KB Output is correct
11 Correct 10 ms 69980 KB Output is correct
12 Correct 10 ms 69724 KB Output is correct
13 Correct 11 ms 69740 KB Output is correct
14 Correct 28 ms 70484 KB Output is correct
15 Correct 29 ms 70492 KB Output is correct
16 Correct 31 ms 70488 KB Output is correct
17 Correct 28 ms 70484 KB Output is correct
18 Correct 27 ms 70492 KB Output is correct
19 Correct 33 ms 70892 KB Output is correct
20 Correct 23 ms 70272 KB Output is correct
21 Correct 24 ms 70236 KB Output is correct
22 Correct 24 ms 70236 KB Output is correct
23 Correct 26 ms 70236 KB Output is correct
24 Correct 27 ms 70488 KB Output is correct
25 Correct 29 ms 70488 KB Output is correct
26 Correct 30 ms 70736 KB Output is correct
27 Correct 31 ms 70736 KB Output is correct

Subtask #5
0 / 39.0

# Verdict Execution time Memory Grader output
1 Correct 24 ms 71512 KB Output is correct
2 Correct 26 ms 71512 KB Output is correct
3 Correct 26 ms 71516 KB Output is correct
4 Correct 25 ms 71516 KB Output is correct
5 Correct 27 ms 71512 KB Output is correct
6 Correct 25 ms 71620 KB Output is correct
7 Correct 1164 ms 170560 KB Output is correct
8 Correct 798 ms 170636 KB Output is correct
9 Correct 936 ms 170580 KB Output is correct
10 Correct 1167 ms 179540 KB Output is correct
11 Correct 968 ms 170576 KB Output is correct
12 Correct 994 ms 170632 KB Output is correct
13 Correct 951 ms 170632 KB Output is correct
14 Correct 995 ms 170832 KB Output is correct
15 Correct 1006 ms 172880 KB Output is correct
16 Correct 11 ms 69980 KB Output is correct
17 Correct 11 ms 69980 KB Output is correct
18 Correct 10 ms 69724 KB Output is correct
19 Correct 11 ms 69808 KB Output is correct
20 Correct 10 ms 69980 KB Output is correct
21 Correct 10 ms 69724 KB Output is correct
22 Correct 11 ms 69740 KB Output is correct
23 Correct 28 ms 70484 KB Output is correct
24 Correct 29 ms 70492 KB Output is correct
25 Correct 31 ms 70488 KB Output is correct
26 Correct 28 ms 70484 KB Output is correct
27 Correct 27 ms 70492 KB Output is correct
28 Correct 33 ms 70892 KB Output is correct
29 Correct 23 ms 70272 KB Output is correct
30 Correct 24 ms 70236 KB Output is correct
31 Correct 24 ms 70236 KB Output is correct
32 Correct 26 ms 70236 KB Output is correct
33 Correct 27 ms 70488 KB Output is correct
34 Correct 29 ms 70488 KB Output is correct
35 Correct 30 ms 70736 KB Output is correct
36 Correct 31 ms 70736 KB Output is correct
37 Correct 1284 ms 98896 KB Output is correct
38 Correct 1229 ms 112464 KB Output is correct
39 Correct 1345 ms 113232 KB Output is correct
40 Correct 1483 ms 113236 KB Output is correct
41 Correct 1239 ms 103036 KB Output is correct
42 Correct 1207 ms 106304 KB Output is correct
43 Correct 1160 ms 107604 KB Output is correct
44 Correct 1156 ms 113484 KB Output is correct
45 Incorrect 1222 ms 134360 KB Output isn't correct
46 Halted 0 ms 0 KB -