This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/*
// is short or still long ???
hollwo_pelw's template(short)
// Note : -Dhollwo_pelw_local
*/
#include <bits/stdc++.h>
// #include <ext/pb_ds/assoc_container.hpp>
// #include <ext/pb_ds/trie_policy.hpp>
// #include <ext/rope>
using namespace std;
// using namespace __gnu_pbds;
// using namespace __gnu_cxx;
void FAST_IO(string filein = "", string fileout = "", string fileerr = ""){
if (fopen(filein.c_str(), "r")){
freopen(filein.c_str(), "r", stdin);
freopen(fileout.c_str(), "w", stdout);
#ifdef hollwo_pelw_local
freopen(fileerr.c_str(), "w", stderr);
#endif
}
cin.tie(0), cout.tie(0) -> sync_with_stdio(0);
}
void Hollwo_Pelw();
signed main(){
#ifdef hollwo_pelw_local
FAST_IO("input.inp", "output.out", "error.err");
auto start = chrono::steady_clock::now();
#else
FAST_IO("hollwo_pelw.inp", "hollwo_pelw.out");
#endif
int testcases = 1;
// cin >> testcases;
for (int test = 1; test <= testcases; test++){
// cout << "Case #" << test << ": ";
Hollwo_Pelw();
}
#ifdef hollwo_pelw_local
auto end = chrono::steady_clock::now();
cout << "\nExcution time : " << chrono::duration_cast<chrono::milliseconds> (end - start).count() << "[ms]" << endl;
#endif
return 0;
}
const int N = 1e5 + 5;
struct maxk {
int k; int64_t val;
multiset<int64_t> in, out;
inline void __init__(int _k) { k = _k; }
inline void add(int64_t v) {
if (*in.begin() >= v && in.size() == k) {
out.insert(v);
} else {
in.insert(v);
val += v;
if (in.size() > k) {
v = *in.begin();
out.insert(v);
in.erase(in.begin());
val -= v;
}
}
}
inline void del(int64_t v) {
if (out.find(v) != out.end()) {
out.erase(out.find(v));
} else {
in.erase(in.find(v));
val -= v;
if (out.size() > 0) {
v = *out.rbegin();
out.erase(out.find(v));
in.insert(v);
val += v;
}
}
}
inline int64_t get_val() {
return val;
}
} calc;
int n, k;
vector<pair<int, int>> adj[N];
int64_t up[N], dw[N], res[N];
void dfs_dw(int u, int p) {
for (auto [v, w] : adj[u]) if (v != p) {
dfs_dw(v, u);
dw[u] = max(dw[u], dw[v] + w);
}
}
void dfs_up(int u, int p) {
int64_t vf = 0, vs = 0;
int f = 0, s = 0;
for (auto [v, w] : adj[u])
if (v != p) {
int64_t vv = dw[v] + w;
if (vf < vv) swap(f, v), swap(vf, vv);
if (vs < vv) swap(s, v), swap(vs, vv);
}
for (auto [v, w] : adj[u])
if (v != p && v != f) {
calc.add(dw[v] + w);
}
for (auto [v, w] : adj[u])
if (v != p) {
up[v] = max(up[u], v == f ? vs : vf) + w;
dfs_up(v, u);
}
}
void reroot(int u, int p) {
// cout << "solve " << u << '\n';
res[u] = calc.get_val();
for (auto [v, w] : adj[u])
if (v != p) {
calc.add(dw[v]), calc.del(dw[v] + w);
calc.add(up[v]), calc.del(up[v] - w);
reroot(v, u);
calc.add(dw[v] + w), calc.del(dw[v]);
calc.add(up[v] - w), calc.del(up[v]);
}
}
void Hollwo_Pelw() {
cin >> n >> k;
for (int i = 1, u, v, w; i < n; i++) {
cin >> u >> v >> w;
adj[u].emplace_back(v, w);
adj[v].emplace_back(u, w);
}
calc.__init__(k);
dfs_dw(1, 0);
dfs_up(1, 0);
calc.add(dw[1]);
if (adj[1].size() == 1)
calc.add(up[1]);
reroot(1, 0);
for (int i = 1; i <= n; i++)
cout << res[i] << '\n';
}
Compilation message (stderr)
Main.cpp: In member function 'void maxk::add(int64_t)':
Main.cpp:58:37: warning: comparison of integer expressions of different signedness: 'std::multiset<long int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
58 | if (*in.begin() >= v && in.size() == k) {
| ~~~~~~~~~~^~~~
Main.cpp:64:18: warning: comparison of integer expressions of different signedness: 'std::multiset<long int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
64 | if (in.size() > k) {
| ~~~~~~~~~~^~~
Main.cpp: In function 'void FAST_IO(std::string, std::string, std::string)':
Main.cpp:18:10: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
18 | freopen(filein.c_str(), "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~
Main.cpp:19:10: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
19 | freopen(fileout.c_str(), "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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