Submission #704157

#	Time	Username	Problem	Language	Result	Execution time	Memory
704157		TimDee	Paths (RMI21_paths)	C++17	56 / 100	211 ms	24604 KiB

Main

#include <bits/stdc++.h>
using namespace std;
 
#pragma GCC optimize("O3")
#pragma GCC optimize("Ofast")
#pragma GCC optimize("O2")

using ll = long long;
#define int long long
#define forn(i,n) for(int i=0; i<(n); ++i)
#define pb push_back
#define pi pair<int,int>
#define f first
#define s second
#define vii(a,n) vector<int> a(n); forn(i,n) cin>>a[i];
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()

mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const int inf = 1e15;
const int mod = 998244353;

const int n = 1e5;
vector<int> qans(n,0);

multiset<int> maxs, mins;
int sum = 0;

vector<pi> in(n,{0,0}),out(n,{0,0});

vector<vector<pi>> adj(n);
void dfs(int u, int p) {
	in[u]={-1,u};
	for (auto&e:adj[u]) {
		int v=e.f, w=e.s;
		if (v==p) continue;
		dfs(v,u);
		in[u]=max(in[u],{in[v].f+w,in[v].s});
	}
	if (in[u].f==-1) in[u].f=0;
}

void dfs2(int u, int p, pi o) {
	if (u) out[u]=o;
	vector<pi> pr={{-1,-1}};
	pi sf={-1,-1};
	for (auto&e:adj[u]) {
		int v=e.f, w=e.s;
		if (v==p) {
			pr.pb(pr.back());
			continue;
		}
		pr.pb(max(pr.back(),{in[v].f+w,in[v].s}));
	}
	int sz=adj[u].size();
	for (int i=sz-1; i>=0; --i) {
		auto e=adj[u][i];
		int v=e.f, w=e.s;
		if (v==p) continue;
		dfs2(v,u,max({ make_pair(o.f+w,o.s) , make_pair(sf.f+w,sf.s) , make_pair(pr[i].f+w,pr[i].s) }));
		sf=max(sf,{in[v].f+w,in[v].s});
	}
}

vector<int> cnt(n,0);

vector<vector<pi>> ans(n);
vector<pi> mx(n);
void cntdfs(int u,int p) {
	pi m={-1,-1};
	for(auto&e:adj[u]) {
		int v=e.f,w=e.s;
		if (v==p) continue;
		cntdfs(v,u);
		if (ans[u].size()<ans[v].size()) swap(ans[u],ans[v]);
		if (mx[v].f+w>m.f) {
			if (m.s!=-1) ans[u].pb(m);
			m={mx[v].f+w,mx[v].s};
		} else {
			ans[u].pb({mx[v].f+w,mx[v].s});
		}
		for(auto&x:ans[v]) ans[u].pb(x);
	}
	if (m.s==-1) mx[u]={0,u};
	else mx[u]=m;
}

int N;
void reroot(int u, int p, int W) {
	bool Z=0,V=0,ZZ=0,VV=0,S=0,SS=0;
	int X=0,XX=0;
	if (u && N<=2000) {
		if (maxs.count(cnt[out[u].s])) {
			Z=1;
			maxs.erase(maxs.find(cnt[out[u].s]));
			cnt[out[u].s]+=W;
			maxs.insert(cnt[out[u].s]);
			sum+=W;
		} else {
			mins.erase(mins.find(-cnt[out[u].s]));
			cnt[out[u].s]+=W;
			if (cnt[out[u].s]>(*maxs.begin())) {
				V=1;
				int x=*maxs.begin();
				X=x;
				maxs.erase(maxs.begin());
				maxs.insert(cnt[out[u].s]);
				sum+=cnt[out[u].s]-x;
				mins.insert(-x);
			} else {
				mins.insert(-cnt[out[u].s]);
			}
		}
		
		if (maxs.count(cnt[in[u].s])) {
			ZZ=1;
			maxs.erase(maxs.find(cnt[in[u].s]));
			sum-=cnt[in[u].s];
			cnt[in[u].s]-=W;
			
			if (cnt[in[u].s] >= -(*mins.begin())) {
				VV=1;
				maxs.insert(cnt[in[u].s]);
				sum+=cnt[in[u].s];
			} else if (mins.size()) {
				S=1;
				int x=*mins.begin();
				mins.erase(mins.begin());
				XX=-x;
				sum+=-x;
				maxs.insert(-x);
				mins.insert(-cnt[in[u].s]);
			}
		} else {
			mins.erase(mins.find(-cnt[in[u].s]));
			cnt[in[u].s]-=W;
			mins.insert(-cnt[in[u].s]);
		}
	}

	qans[u]=sum;
	for (auto&e:adj[u]) {
		int v=e.f, w=e.s;
		if (v==p) continue;
		reroot(v,u,w);
	}

	if (u && N<=2000) {
		if (Z) {
			maxs.erase(maxs.find(cnt[out[u].s]));
			cnt[out[u].s]-=W;
			maxs.insert(cnt[out[u].s]);
			sum-=W;
		} else {
			if (V) {
				mins.erase(mins.find(-X));
				maxs.erase(maxs.find(cnt[out[u].s]));
				maxs.insert(X);
				sum-=cnt[out[u].s]-X;
			} else {
				mins.erase(mins.find(-cnt[out[u].s]));
			}
			cnt[out[u].s]-=W;
			mins.insert(-cnt[out[u].s]);
		}
		
		if (ZZ) {
			if (VV) {
				sum-=cnt[in[u].s];
				maxs.erase(maxs.find(cnt[in[u].s]));
			} else if (S) {
				mins.erase(mins.find(-cnt[in[u].s]));
				maxs.erase(maxs.find(XX));
				sum-=XX;
				mins.insert(-XX);
			}
			cnt[in[u].s]+=W;
			sum+=cnt[in[u].s];
			maxs.insert(cnt[in[u].s]);
		} else {
			mins.erase(mins.find(-cnt[in[u].s]));
			cnt[in[u].s]+=W;
			mins.insert(-cnt[in[u].s]);
		}
	}
}

void solve() {

	int n,k; cin>>n>>k; N=n;
	forn(i,n-1) {
		int u,v,w; cin>>u>>v>>w; --u, --v;
		adj[u].pb({v,w});
		adj[v].pb({u,w});
	}
	dfs(0,0);
	dfs2(0,0,{0,0});
	cntdfs(0,0);

	ans[0].pb(mx[0]);
	if (adj[0].size()==1) ans[0].pb({0,0});
	sort(rall(ans[0]));
	for (int i=0; i<ans[0].size(); ++i) {
		cnt[ans[0][i].s]=ans[0][i].f;
		if (i<k) {
			maxs.insert(ans[0][i].f);
			sum+=ans[0][i].f;
		} else mins.insert(-ans[0][i].f);
	}

	if (k>=ans[0].size()) {
		forn(i,n) cout<<sum<<'\n';
		return;
	}

	reroot(0,0,0);
	forn(i,n) cout<<qans[i]<<'\n';

}
     
int32_t main() {
    int t=1;
    //cin>>t;
    while (t--) solve();
    return 0;
}

Compilation message (stderr)

Main.cpp: In function 'void reroot(long long int, long long int, long long int)':
Main.cpp:90:29: warning: unused variable 'SS' [-Wunused-variable]
   90 |  bool Z=0,V=0,ZZ=0,VV=0,S=0,SS=0;
      |                             ^~
Main.cpp: In function 'void solve()':
Main.cpp:203:17: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  203 |  for (int i=0; i<ans[0].size(); ++i) {
      |                ~^~~~~~~~~~~~~~
Main.cpp:211:7: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  211 |  if (k>=ans[0].size()) {
      |      ~^~~~~~~~~~~~~~~

• Subtask 1: 8 / 8
• Subtask 2: 11 / 11
• Subtask 3: 17 / 17
• Subtask 4: 20 / 20
• Subtask 5: 0 / 12
• Subtask 6: 0 / 32