Submission #1012172

# Submission time Handle Problem Language Result Execution time Memory
1012172 2024-07-01T18:47:21 Z ttamx Truck Driver (IOI23_deliveries) C++17
100 / 100
1043 ms 46128 KB
#include "deliveries.h"
#include <bits/stdc++.h>

using namespace std;

using ll = long long;

const int N=1e5+5;
const int K=1<<18;

int n;
vector<pair<int,int>> adj[N];
int sz[N],hv[N],head[N],tail[N],par[N],tin[N],tout[N],ord[N];
ll w[N],dist[N];
int timer;
ll tot,ans;
ll val[N];
set<pair<ll,int>> ch[N];

struct Fenwick{
	ll t[N];
	void update(int i,ll v){
		if(i>0)for(;i<N;i+=i&-i)t[i]+=v;
	}
	ll query(int i){
		ll res=0;
		for(;i>0;i-=i&-i)res+=t[i];
		return res;
	}
	ll query(int l,int r){
		return query(r)-query(l-1);
	}
}f,fw;

struct SegTree{
	ll t[K],lz[K];
	void apply(int i,ll v){
		t[i]+=v;
		lz[i]+=v;
	}
	void push(int i){
		apply(i*2,lz[i]);
		apply(i*2+1,lz[i]);
		lz[i]=0;
	}
	void update(int l,int r,int i,int x,int y,ll v){
		if(y<l||r<x)return;
		if(x<=l&&r<=y)return apply(i,v);
		push(i);
		int m=(l+r)/2;
		update(l,m,i*2,x,y,v);
		update(m+1,r,i*2+1,x,y,v);
		t[i]=max(t[i*2],t[i*2+1]);
	}
	void update(int x,int y,ll v){
		update(1,n,1,x,y,v);
	}
	ll findlast(int l,int r,int i,int x,int y,ll v){
		if(y<l||r<x||t[i]<v)return 0;
		if(l==r)return l;
		push(i);
		int m=(l+r)/2;
		ll res=findlast(m+1,r,i*2+1,x,y,v);
		if(res==0)res=findlast(l,m,i*2,x,y,v);
		return res;
	}
	ll findlast(int x,int y,ll v){
		return findlast(1,n,1,x,y,v);
	}
}s;

void dfs(int u){
	sz[u]=1;
	for(auto [v,w]:adj[u])if(v!=par[u]){
		par[v]=u;
		dist[v]=dist[u]+w;
		dfs(v);
		sz[u]+=sz[v];
		if(sz[v]>sz[hv[u]])hv[u]=v;
	}
}

void hld(int u){
	tin[u]=++timer;
	ord[timer]=u;
	if(!head[u])head[u]=u;
	tail[head[u]]=u;
	if(hv[u])head[hv[u]]=head[u],hld(hv[u]);
	for(auto [v,w]:adj[u])if(v!=par[u]&&v!=hv[u])hld(v);
	tout[u]=timer;
}

void update(int u,ll v){
	tot+=v;
	ans+=v*dist[u];
	f.update(tin[u],v);
	fw.update(tin[u],v*dist[u]);
	while(u){
		s.update(tin[head[u]],tin[u],v);
		u=head[u];
		int p=par[u];
		fw.update(tin[p],v*dist[p]);
		ch[p].erase({val[u],u});
		val[u]+=v;
		ch[p].emplace(val[u],u);
		u=p;
	}
}

void init(int _n,vector<int> _u,vector<int> _v,vector<int> _t,vector<int> _w){
	n=_n;
	for(int i=0;i<n-1;i++){
		int u=_u[i]+1,v=_v[i]+1,w=_t[i];
		adj[u].emplace_back(v,w);
		adj[v].emplace_back(u,w);
	}
	for(int i=0;i<n;i++)w[i+1]=_w[i];
	w[1]++;
	dfs(1);
	hld(1);
	for(int i=1;i<=n;i++)update(i,w[i]);
}

ll max_time(int i,int x){
	i++;
	if(i==1)x++;
	update(i,x-w[i]);
	w[i]=x;
	int u=1;
	ll half=tot/2,res=0;
	while(true){
		int x=u;
		u=ord[s.findlast(tin[u],tin[tail[u]],half+1)];
		res+=fw.query(tin[x],tin[u]-1);
		if(ch[u].empty())break;
		auto [w,v]=*ch[u].rbegin();
		if(w<=half)break;
		res+=(f.query(tin[u],tout[u])-f.query(tin[v],tout[v]))*dist[u];
		u=v;
	}
	return (ans+dist[u]*(tot-2*f.query(tin[u],tout[u]))-2*res)*2;
}
# Verdict Execution time Memory Grader output
1 Correct 73 ms 17492 KB Output is correct
2 Correct 86 ms 17224 KB Output is correct
3 Correct 83 ms 17492 KB Output is correct
4 Correct 80 ms 17488 KB Output is correct
5 Correct 81 ms 17616 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 7512 KB Output is correct
2 Correct 4 ms 7644 KB Output is correct
3 Correct 4 ms 7772 KB Output is correct
4 Correct 5 ms 7768 KB Output is correct
5 Correct 4 ms 7772 KB Output is correct
6 Correct 4 ms 7776 KB Output is correct
7 Correct 4 ms 7772 KB Output is correct
8 Correct 4 ms 7772 KB Output is correct
9 Correct 4 ms 7792 KB Output is correct
10 Correct 3 ms 7768 KB Output is correct
11 Correct 5 ms 7768 KB Output is correct
12 Correct 5 ms 7768 KB Output is correct
13 Correct 4 ms 7772 KB Output is correct
14 Correct 3 ms 7772 KB Output is correct
15 Correct 3 ms 7768 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 73 ms 17492 KB Output is correct
2 Correct 86 ms 17224 KB Output is correct
3 Correct 83 ms 17492 KB Output is correct
4 Correct 80 ms 17488 KB Output is correct
5 Correct 81 ms 17616 KB Output is correct
6 Correct 3 ms 7512 KB Output is correct
7 Correct 7 ms 7772 KB Output is correct
8 Correct 74 ms 10960 KB Output is correct
9 Correct 1016 ms 39468 KB Output is correct
10 Correct 1043 ms 39472 KB Output is correct
11 Correct 1038 ms 39500 KB Output is correct
12 Correct 827 ms 41928 KB Output is correct
13 Correct 876 ms 42044 KB Output is correct
14 Correct 842 ms 42048 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 73 ms 17492 KB Output is correct
2 Correct 86 ms 17224 KB Output is correct
3 Correct 83 ms 17492 KB Output is correct
4 Correct 80 ms 17488 KB Output is correct
5 Correct 81 ms 17616 KB Output is correct
6 Correct 3 ms 7516 KB Output is correct
7 Correct 5 ms 7720 KB Output is correct
8 Correct 23 ms 11132 KB Output is correct
9 Correct 230 ms 43048 KB Output is correct
10 Correct 234 ms 43056 KB Output is correct
11 Correct 231 ms 43056 KB Output is correct
12 Correct 237 ms 46128 KB Output is correct
13 Correct 220 ms 46128 KB Output is correct
14 Correct 179 ms 42288 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 73 ms 17492 KB Output is correct
2 Correct 86 ms 17224 KB Output is correct
3 Correct 83 ms 17492 KB Output is correct
4 Correct 80 ms 17488 KB Output is correct
5 Correct 81 ms 17616 KB Output is correct
6 Correct 4 ms 7512 KB Output is correct
7 Correct 4 ms 7644 KB Output is correct
8 Correct 4 ms 7772 KB Output is correct
9 Correct 5 ms 7768 KB Output is correct
10 Correct 4 ms 7772 KB Output is correct
11 Correct 4 ms 7776 KB Output is correct
12 Correct 4 ms 7772 KB Output is correct
13 Correct 4 ms 7772 KB Output is correct
14 Correct 4 ms 7792 KB Output is correct
15 Correct 3 ms 7768 KB Output is correct
16 Correct 5 ms 7768 KB Output is correct
17 Correct 5 ms 7768 KB Output is correct
18 Correct 4 ms 7772 KB Output is correct
19 Correct 3 ms 7772 KB Output is correct
20 Correct 3 ms 7768 KB Output is correct
21 Correct 3 ms 7512 KB Output is correct
22 Correct 7 ms 7772 KB Output is correct
23 Correct 74 ms 10960 KB Output is correct
24 Correct 1016 ms 39468 KB Output is correct
25 Correct 1043 ms 39472 KB Output is correct
26 Correct 1038 ms 39500 KB Output is correct
27 Correct 827 ms 41928 KB Output is correct
28 Correct 876 ms 42044 KB Output is correct
29 Correct 842 ms 42048 KB Output is correct
30 Correct 3 ms 7516 KB Output is correct
31 Correct 5 ms 7720 KB Output is correct
32 Correct 23 ms 11132 KB Output is correct
33 Correct 230 ms 43048 KB Output is correct
34 Correct 234 ms 43056 KB Output is correct
35 Correct 231 ms 43056 KB Output is correct
36 Correct 237 ms 46128 KB Output is correct
37 Correct 220 ms 46128 KB Output is correct
38 Correct 179 ms 42288 KB Output is correct
39 Correct 3 ms 7516 KB Output is correct
40 Correct 5 ms 7772 KB Output is correct
41 Correct 27 ms 11252 KB Output is correct
42 Correct 423 ms 42412 KB Output is correct
43 Correct 340 ms 42796 KB Output is correct
44 Correct 327 ms 43080 KB Output is correct
45 Correct 298 ms 43308 KB Output is correct
46 Correct 276 ms 43296 KB Output is correct
47 Correct 305 ms 44596 KB Output is correct
48 Correct 297 ms 45104 KB Output is correct
49 Correct 345 ms 45108 KB Output is correct
50 Correct 254 ms 45360 KB Output is correct
51 Correct 234 ms 45364 KB Output is correct
52 Correct 756 ms 42028 KB Output is correct
53 Correct 753 ms 41920 KB Output is correct
54 Correct 737 ms 41924 KB Output is correct
55 Correct 240 ms 41260 KB Output is correct
56 Correct 245 ms 43052 KB Output is correct
57 Correct 244 ms 43300 KB Output is correct