#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 Z,V,X,ZZ,VV,XX,S,SS;
void reroot(int u, int p, int W) {
bool Z=0,V=0,X=0,ZZ=0,VV=0,XX=0,S=0,SS=0;
if (u) {
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) {
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;
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
Main.cpp: In function 'void reroot(long long int, long long int, long long int)':
Main.cpp:90:38: warning: unused variable 'SS' [-Wunused-variable]
90 | bool Z=0,V=0,X=0,ZZ=0,VV=0,XX=0,S=0,SS=0;
| ^~
Main.cpp: In function 'void solve()':
Main.cpp:202:17: 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]
202 | for (int i=0; i<ans[0].size(); ++i) {
| ~^~~~~~~~~~~~~~
Main.cpp:210:7: 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]
210 | if (k>=ans[0].size()) {
| ~^~~~~~~~~~~~~~~
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Runtime error |
20 ms |
22612 KB |
Execution killed with signal 6 |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Runtime error |
20 ms |
22612 KB |
Execution killed with signal 6 |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Runtime error |
20 ms |
22612 KB |
Execution killed with signal 6 |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Runtime error |
20 ms |
22612 KB |
Execution killed with signal 6 |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Runtime error |
217 ms |
47140 KB |
Execution killed with signal 11 |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Runtime error |
20 ms |
22612 KB |
Execution killed with signal 6 |
| 2 |
Halted |
0 ms |
0 KB |
- |
