oj.uz

Submission #1004752

# Submission time Handle Problem Language Result Execution time Memory
1004752 2024-06-21T13:42:02 Z amirhoseinfar1385 Nestabilnost (COI23_nestabilnost) C++17
32 / 100
 864 ms 174884 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].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);
	}
	void shiftlazy(int i){
		seg[(i<<1)].lazy+=seg[i].lazy;
		seg[(i<<1)^1].lazy+=seg[i].lazy;
		seg[i].lazy=0;
	}
	void calcasl(int i){
		if(i>=kaf){
			seg[i].mina+=seg[i].lazy;
			seg[i].lazy=0;
			if(seg[i].asl+seg[i].aval<seg[i].mina){
				seg[i].mina=seg[i].asl+seg[i].aval;
			}
			seg[i].asl=inf;
			return ;
		}
		if(seg[i].mina+seg[i].lazy>seg[i].asl+seg[i].aval){
			shiftlazy(i);
			seg[i].mina=seg[i].asl+seg[i].aval;
		}
	}
	void shift(long long i){
		seg[i].vis=1;
		if(i>=kaf){
			return ;
		}
		if(seg[i].asl!=inf){
			seg[(i<<1)].asl=seg[i].asl;
			seg[(i<<1)^1].asl=seg[i].asl;
			seg[i].asl=inf;
			calcasl(i);
		}
		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;
	}
	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);
			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){
			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 21 ms 71512 KB Output is correct
2 Correct 22 ms 71516 KB Output is correct
3 Correct 23 ms 71516 KB Output is correct
4 Correct 22 ms 71348 KB Output is correct
5 Correct 22 ms 71512 KB Output is correct
6 Correct 22 ms 71516 KB Output is correct

Subtask #2
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 854 ms 165712 KB Output is correct
2 Correct 641 ms 165972 KB Output is correct
3 Correct 723 ms 165968 KB Output is correct
4 Correct 864 ms 174884 KB Output is correct
5 Correct 729 ms 165932 KB Output is correct
6 Correct 733 ms 165968 KB Output is correct
7 Correct 718 ms 165964 KB Output is correct
8 Correct 773 ms 165968 KB Output is correct
9 Correct 806 ms 168256 KB Output is correct

Subtask #3
0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 69724 KB Output is correct
2 Correct 11 ms 69976 KB Output is correct
3 Correct 11 ms 69724 KB Output is correct
4 Incorrect 12 ms 69724 KB Output isn't correct
5 Halted 0 ms 0 KB -

Subtask #4
0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 21 ms 71512 KB Output is correct
2 Correct 22 ms 71516 KB Output is correct
3 Correct 23 ms 71516 KB Output is correct
4 Correct 22 ms 71348 KB Output is correct
5 Correct 22 ms 71512 KB Output is correct
6 Correct 22 ms 71516 KB Output is correct
7 Correct 10 ms 69724 KB Output is correct
8 Correct 11 ms 69976 KB Output is correct
9 Correct 11 ms 69724 KB Output is correct
10 Incorrect 12 ms 69724 KB Output isn't correct
11 Halted 0 ms 0 KB -

Subtask #5
0 / 39.0

# Verdict Execution time Memory Grader output
1 Correct 21 ms 71512 KB Output is correct
2 Correct 22 ms 71516 KB Output is correct
3 Correct 23 ms 71516 KB Output is correct
4 Correct 22 ms 71348 KB Output is correct
5 Correct 22 ms 71512 KB Output is correct
6 Correct 22 ms 71516 KB Output is correct
7 Correct 854 ms 165712 KB Output is correct
8 Correct 641 ms 165972 KB Output is correct
9 Correct 723 ms 165968 KB Output is correct
10 Correct 864 ms 174884 KB Output is correct
11 Correct 729 ms 165932 KB Output is correct
12 Correct 733 ms 165968 KB Output is correct
13 Correct 718 ms 165964 KB Output is correct
14 Correct 773 ms 165968 KB Output is correct
15 Correct 806 ms 168256 KB Output is correct
16 Correct 10 ms 69724 KB Output is correct
17 Correct 11 ms 69976 KB Output is correct
18 Correct 11 ms 69724 KB Output is correct
19 Incorrect 12 ms 69724 KB Output isn't correct
20 Halted 0 ms 0 KB -