oj.uz

Submission #1039811

# Submission time Handle Problem Language Result Execution time Memory
1039811 2024-07-31T09:38:22 Z Name(#11031) Petrol stations (CEOI24_stations) C++17
100 / 100
 783 ms 26940 KB 
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,sse4.1,sse4.2,popcnt,abm,mmx,avx,avx2,fma")
#include <bits/stdc++.h>
using namespace std;
using ll=long long;
using pii=array<int,2>;
using tii=array<int,3>;
using tll=array<ll,3>;
#ifdef LOCAL
#include "debug.h"
#else
#define debug(...) 42
#endif
const int N=70005;
int n,k;
vector<pii> g[N];
int sz[N],vis[N],sub[N],p[16][N],val[N],up[N];
ll cttl,csub[N],cnt[N];
int m; ll D[N],P[N];
vector<int> V;
vector<pii> vals;
vector<tll> dists;
ll d[N],st[N],dp[N];
ll ans[N];
struct FEN{
	ll F[N];
	int n;
	void init(int n_){
		n=n_;
		for(int i=0;i<=n;i++) F[i]=0;
	}
	void add(int i,ll v){
		for(;i<=n;i+=i&-i) F[i]+=v;
	}
	ll qry(int i){
		ll r=0;
		for(;i;i-=i&-i) r+=F[i];
		return r;
	}
}F;
void dfsSize(int u,int p){
	sz[u]=1;
	for(auto [v,w]: g[u]) if(!vis[v]&&p!=v){
		dfsSize(v,u);
		sz[u]+=sz[v];
	}
}
int findCentroid(int u,int p,int S){
	for(auto [v,w]: g[u]) if(!vis[v]&&p!=v&&sz[v]>=S) return findCentroid(v,u,S);
	return u;
}
void dfs(int u){
	V.push_back(u);
	dp[u]=1;
	D[++m]=d[u]-1;
	for(auto [v,w]: g[u]) if(!vis[v]&&p[0][u]!=v){
		p[0][v]=u;
		for(int i=1;i<=15;i++) p[i][v]=p[i-1][p[i-1][v]];
		sub[v]=sub[u];
		if(!p[0][u]) sub[v]=v;
		d[v]=d[u]+w;
		st[v]=k-w;
		dfs(v);
	}
	if(d[u]>k){
		int v=u;
		for(int i=15;i>=0;i--) if(d[u]-d[p[i][v]]<=k) v=p[i][v];
		up[u]=v;
	} else{
		up[u]=0;
		val[u]=k-d[u];
	}
	if(p[0][u]){
		dists.push_back({d[u]-1,u,1});
		dists.push_back({d[p[0][u]]-1,u,-1});
	}
	csub[u]=cnt[u]=0;
}
void dfs2(int u){
	P[u]=F.qry(lower_bound(D+1,D+m+1,d[u]-1)-D);
	debug(u,cnt[u]);
	cnt[u]+=P[u]-P[p[0][u]];
	F.add(lower_bound(D+1,D+m+1,d[u]+st[u])-D,cnt[u]);
	for(auto [v,w]: g[u]) if(!vis[v]&&p[0][u]!=v){
		dfs2(v);
	}
	F.add(lower_bound(D+1,D+m+1,d[u]+st[u])-D,-cnt[u]);
}
void solve(int r){
	dfsSize(r,0);
	r=findCentroid(r,0,(sz[r]+1)/2);
	for(int i=0;i<=15;i++) p[i][r]=0;
	d[r]=0;
	sub[r]=0;
	vals.clear();
	dists.clear();
	V.clear();
	m=0;
	P[r]=0;
	dfsSize(r,0);
	dfs(r);
	D[++m]=1e18;
	sort(D+1,D+m+1);
	m=unique(D+1,D+m+1)-D-1;
	for(int u: V){
		if(up[u]) val[u]=val[up[u]];
		vals.push_back({val[u],u});
	}
	for(int i=(int)V.size()-1;i>=0;i--){
		int u=V[i];
		if(up[u]) dp[up[u]]+=dp[u];
	}
	sort(vals.begin(),vals.end());
	sort(dists.begin(),dists.end());
	cttl=0;
	for(int i=0,j=0;i<(int)dists.size();i++){
		while(j<(int)vals.size()&&vals[j][0]<=dists[i][0]){
			cttl++;
			csub[sub[vals[j][1]]]++;
			debug(vals[j]);
			j++;
		}
		debug(dists[i],cttl,csub[sub[dists[i][1]]]);
		cnt[dists[i][1]]+=dists[i][2]*(cttl-csub[sub[dists[i][1]]]);
	}
	F.init(m);
	for(auto [v,w]: g[r]) if(!vis[v]) dfs2(v);
	debug(r);
	for(int u: V){
		ans[u]+=(dp[u]-1)*((ll)V.size()-sz[sub[u]]-(u==r));
		debug(u,dp[u],V.size(),sz[sub[u]],cnt[u]);
		if(u!=r) ans[p[0][u]]+=cnt[u]*sz[u];
	}
	debug(vector<int>(ans+1,ans+n+1));
	vis[r]=1;
	for(auto [v,w]: g[r]) if(!vis[v]) solve(v);
}
int main(){
	ios::sync_with_stdio(false); cin.tie(0);
	cin>>n>>k;
	for(int u,v,w,i=1;i<n;i++){
		cin>>u>>v>>w;
		u++; v++;
		g[u].push_back({v,w});
		g[v].push_back({u,w});
	}
	solve(1);
	for(int i=1;i<=n;i++) cout<<ans[i]<<"\n";
	return 0;
}

Compilation message

Main.cpp: In function 'void dfs2(int)':
Main.cpp:13:20: warning: statement has no effect [-Wunused-value]
   13 | #define debug(...) 42
      |                    ^~
Main.cpp:82:2: note: in expansion of macro 'debug'
   82 |  debug(u,cnt[u]);
      |  ^~~~~
Main.cpp: In function 'void solve(int)':
Main.cpp:13:20: warning: statement has no effect [-Wunused-value]
   13 | #define debug(...) 42
      |                    ^~
Main.cpp:121:4: note: in expansion of macro 'debug'
  121 |    debug(vals[j]);
      |    ^~~~~
Main.cpp:13:20: warning: statement has no effect [-Wunused-value]
   13 | #define debug(...) 42
      |                    ^~
Main.cpp:124:3: note: in expansion of macro 'debug'
  124 |   debug(dists[i],cttl,csub[sub[dists[i][1]]]);
      |   ^~~~~
Main.cpp:13:20: warning: statement has no effect [-Wunused-value]
   13 | #define debug(...) 42
      |                    ^~
Main.cpp:129:2: note: in expansion of macro 'debug'
  129 |  debug(r);
      |  ^~~~~
Main.cpp:13:20: warning: statement has no effect [-Wunused-value]
   13 | #define debug(...) 42
      |                    ^~
Main.cpp:132:3: note: in expansion of macro 'debug'
  132 |   debug(u,dp[u],V.size(),sz[sub[u]],cnt[u]);
      |   ^~~~~
Main.cpp:13:20: warning: statement has no effect [-Wunused-value]
   13 | #define debug(...) 42
      |                    ^~
Main.cpp:135:2: note: in expansion of macro 'debug'
  135 |  debug(vector<int>(ans+1,ans+n+1));
      |  ^~~~~

Subtask #0
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 10328 KB Output is correct
2 Correct 2 ms 10300 KB Output is correct

Subtask #1
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 10328 KB Output is correct
2 Correct 2 ms 10300 KB Output is correct
3 Correct 3 ms 10332 KB Output is correct
4 Correct 4 ms 10332 KB Output is correct
5 Correct 4 ms 10332 KB Output is correct
6 Correct 6 ms 10588 KB Output is correct
7 Correct 5 ms 10332 KB Output is correct
8 Correct 2 ms 10304 KB Output is correct
9 Correct 4 ms 10332 KB Output is correct
10 Correct 4 ms 10520 KB Output is correct
11 Correct 4 ms 10312 KB Output is correct
12 Correct 6 ms 10308 KB Output is correct
13 Correct 5 ms 10332 KB Output is correct
14 Correct 3 ms 10332 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 10332 KB Output is correct
2 Correct 779 ms 26844 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 10328 KB Output is correct
2 Correct 2 ms 10300 KB Output is correct
3 Correct 2 ms 10332 KB Output is correct
4 Correct 779 ms 26844 KB Output is correct
5 Correct 783 ms 26428 KB Output is correct
6 Correct 542 ms 26172 KB Output is correct

Subtask #4
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 10328 KB Output is correct
2 Correct 2 ms 10300 KB Output is correct
3 Correct 433 ms 23252 KB Output is correct
4 Correct 767 ms 26940 KB Output is correct
5 Correct 417 ms 26284 KB Output is correct
6 Correct 2 ms 10332 KB Output is correct
7 Correct 484 ms 23652 KB Output is correct
8 Correct 455 ms 23780 KB Output is correct
9 Correct 477 ms 23520 KB Output is correct

Subtask #5
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 10328 KB Output is correct
2 Correct 2 ms 10300 KB Output is correct
3 Correct 433 ms 23252 KB Output is correct
4 Correct 767 ms 26940 KB Output is correct
5 Correct 417 ms 26284 KB Output is correct
6 Correct 2 ms 10332 KB Output is correct
7 Correct 484 ms 23652 KB Output is correct
8 Correct 455 ms 23780 KB Output is correct
9 Correct 477 ms 23520 KB Output is correct
10 Correct 310 ms 23252 KB Output is correct
11 Correct 305 ms 22764 KB Output is correct
12 Correct 309 ms 22768 KB Output is correct
13 Correct 351 ms 23532 KB Output is correct
14 Correct 336 ms 23676 KB Output is correct
15 Correct 357 ms 24300 KB Output is correct
16 Correct 63 ms 22968 KB Output is correct

Subtask #6
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 10328 KB Output is correct
2 Correct 2 ms 10300 KB Output is correct
3 Correct 3 ms 10332 KB Output is correct
4 Correct 4 ms 10332 KB Output is correct
5 Correct 4 ms 10332 KB Output is correct
6 Correct 6 ms 10588 KB Output is correct
7 Correct 5 ms 10332 KB Output is correct
8 Correct 2 ms 10304 KB Output is correct
9 Correct 4 ms 10332 KB Output is correct
10 Correct 4 ms 10520 KB Output is correct
11 Correct 4 ms 10312 KB Output is correct
12 Correct 6 ms 10308 KB Output is correct
13 Correct 5 ms 10332 KB Output is correct
14 Correct 3 ms 10332 KB Output is correct
15 Correct 2 ms 10332 KB Output is correct
16 Correct 779 ms 26844 KB Output is correct
17 Correct 783 ms 26428 KB Output is correct
18 Correct 542 ms 26172 KB Output is correct
19 Correct 433 ms 23252 KB Output is correct
20 Correct 767 ms 26940 KB Output is correct
21 Correct 417 ms 26284 KB Output is correct
22 Correct 2 ms 10332 KB Output is correct
23 Correct 484 ms 23652 KB Output is correct
24 Correct 455 ms 23780 KB Output is correct
25 Correct 477 ms 23520 KB Output is correct
26 Correct 310 ms 23252 KB Output is correct
27 Correct 305 ms 22764 KB Output is correct
28 Correct 309 ms 22768 KB Output is correct
29 Correct 351 ms 23532 KB Output is correct
30 Correct 336 ms 23676 KB Output is correct
31 Correct 357 ms 24300 KB Output is correct
32 Correct 63 ms 22968 KB Output is correct
33 Correct 349 ms 22500 KB Output is correct
34 Correct 302 ms 23776 KB Output is correct
35 Correct 366 ms 23740 KB Output is correct
36 Correct 387 ms 23316 KB Output is correct
37 Correct 335 ms 23132 KB Output is correct
38 Correct 353 ms 22024 KB Output is correct
39 Correct 306 ms 23904 KB Output is correct
40 Correct 77 ms 23576 KB Output is correct