#include "bits/stdc++.h"
using namespace std;
#ifdef duc_debug
#include "bits/debug.h"
#else
#define debug(...)
#endif
const int maxn = 1e5 + 5;
int n, k;
int a[maxn];
vector<pair<int, int>> g[maxn];
long long res[maxn];
long long mx[maxn];
multiset<long long> st;
multiset<long long, greater<long long>> ot;
long long cur;
void insert(long long x) {
st.insert(x);
cur += x;
if((int)st.size() > k) {
cur -= *st.begin();
ot.insert(*st.begin());
st.erase(st.begin());
}
}
void erase(long long x) {
auto it = st.find(x);
if(it != st.end()) {
cur -= x;
st.erase(it);
if (!ot.empty()) {
cur += *ot.begin();
st.insert(*ot.begin());
ot.erase(ot.begin());
}
} else {
//if (ot.find(x) == ot.end()) return;
ot.erase(ot.find(x));
}
}
void dfs(int u, int prev) {
mx[u] = 0;
bool leaf = 1;
for(auto e:g[u]) {
int v = e.first, w = e.second;
if (v == prev) continue;
leaf = 0;
dfs(v, u);
erase(mx[v]);
insert(mx[v] + w);
mx[u] = max(mx[u], mx[v] + w);
}
if(leaf) {
insert(0);
}
}
void reroot(int u, int prev) {
pair<long long, int> fmx = make_pair(0ll, u);
pair<long long, int> smx = make_pair(0ll, u);
for(auto e:g[u]) {
int v = e.first, w = e.second;
if(mx[v] + w >= fmx.first) {
smx = fmx;
fmx = make_pair(mx[v] + w, v);
}
else if(mx[v] + w > smx.first) {
smx = make_pair(mx[v] + w, v);
}
}
res[u] = cur;
for(auto e:g[u]) {
int v = e.first, w = e.second;
if (v == prev) continue;
insert(mx[v]);
erase(mx[v] + w);
long long omx = mx[u];
if(v == fmx.second) {
mx[u] = smx.first;
} else {
mx[u] = fmx.first;
}
insert(mx[u] + w);
if(mx[u] > 0) {
erase(mx[u]);
}
reroot(v, u);
if(mx[u] > 0) {
insert(mx[u]);
}
erase(mx[u] + w);
mx[u] = omx;
insert(mx[v] + w);
erase(mx[v]);
}
}
void solve() {
cin >> n >> k;
for(int i = 1; i < n; ++i) {
int u, v, w; cin >> u >> v >> w;
g[u].emplace_back(v, w);
g[v].emplace_back(u, w);
}
dfs(1, 0);
reroot(1, 0);
for(int i = 1; i <= n; ++i) {
cout << res[i] << '\n';
}
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
solve();
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
4432 KB |
Output is correct |
2 |
Correct |
2 ms |
4604 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
4432 KB |
Output is correct |
2 |
Correct |
2 ms |
4604 KB |
Output is correct |
3 |
Correct |
2 ms |
4432 KB |
Output is correct |
4 |
Correct |
2 ms |
4572 KB |
Output is correct |
5 |
Correct |
2 ms |
4432 KB |
Output is correct |
6 |
Correct |
2 ms |
4432 KB |
Output is correct |
7 |
Correct |
2 ms |
4600 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
4432 KB |
Output is correct |
2 |
Correct |
2 ms |
4604 KB |
Output is correct |
3 |
Correct |
2 ms |
4432 KB |
Output is correct |
4 |
Correct |
2 ms |
4572 KB |
Output is correct |
5 |
Correct |
2 ms |
4432 KB |
Output is correct |
6 |
Correct |
2 ms |
4432 KB |
Output is correct |
7 |
Correct |
2 ms |
4600 KB |
Output is correct |
8 |
Correct |
4 ms |
4432 KB |
Output is correct |
9 |
Correct |
2 ms |
4680 KB |
Output is correct |
10 |
Correct |
2 ms |
4432 KB |
Output is correct |
11 |
Correct |
2 ms |
4688 KB |
Output is correct |
12 |
Correct |
3 ms |
4816 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
4432 KB |
Output is correct |
2 |
Correct |
2 ms |
4604 KB |
Output is correct |
3 |
Correct |
2 ms |
4432 KB |
Output is correct |
4 |
Correct |
2 ms |
4572 KB |
Output is correct |
5 |
Correct |
2 ms |
4432 KB |
Output is correct |
6 |
Correct |
2 ms |
4432 KB |
Output is correct |
7 |
Correct |
2 ms |
4600 KB |
Output is correct |
8 |
Correct |
4 ms |
4432 KB |
Output is correct |
9 |
Correct |
2 ms |
4680 KB |
Output is correct |
10 |
Correct |
2 ms |
4432 KB |
Output is correct |
11 |
Correct |
2 ms |
4688 KB |
Output is correct |
12 |
Correct |
3 ms |
4816 KB |
Output is correct |
13 |
Correct |
4 ms |
4700 KB |
Output is correct |
14 |
Correct |
4 ms |
4688 KB |
Output is correct |
15 |
Correct |
3 ms |
4688 KB |
Output is correct |
16 |
Correct |
3 ms |
4688 KB |
Output is correct |
17 |
Correct |
3 ms |
4688 KB |
Output is correct |
18 |
Correct |
3 ms |
4688 KB |
Output is correct |
19 |
Correct |
5 ms |
4688 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
160 ms |
13896 KB |
Output is correct |
2 |
Correct |
134 ms |
15944 KB |
Output is correct |
3 |
Correct |
122 ms |
11600 KB |
Output is correct |
4 |
Correct |
140 ms |
13908 KB |
Output is correct |
5 |
Correct |
143 ms |
14920 KB |
Output is correct |
6 |
Correct |
143 ms |
14020 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
4432 KB |
Output is correct |
2 |
Correct |
2 ms |
4604 KB |
Output is correct |
3 |
Correct |
2 ms |
4432 KB |
Output is correct |
4 |
Correct |
2 ms |
4572 KB |
Output is correct |
5 |
Correct |
2 ms |
4432 KB |
Output is correct |
6 |
Correct |
2 ms |
4432 KB |
Output is correct |
7 |
Correct |
2 ms |
4600 KB |
Output is correct |
8 |
Correct |
4 ms |
4432 KB |
Output is correct |
9 |
Correct |
2 ms |
4680 KB |
Output is correct |
10 |
Correct |
2 ms |
4432 KB |
Output is correct |
11 |
Correct |
2 ms |
4688 KB |
Output is correct |
12 |
Correct |
3 ms |
4816 KB |
Output is correct |
13 |
Correct |
4 ms |
4700 KB |
Output is correct |
14 |
Correct |
4 ms |
4688 KB |
Output is correct |
15 |
Correct |
3 ms |
4688 KB |
Output is correct |
16 |
Correct |
3 ms |
4688 KB |
Output is correct |
17 |
Correct |
3 ms |
4688 KB |
Output is correct |
18 |
Correct |
3 ms |
4688 KB |
Output is correct |
19 |
Correct |
5 ms |
4688 KB |
Output is correct |
20 |
Correct |
160 ms |
13896 KB |
Output is correct |
21 |
Correct |
134 ms |
15944 KB |
Output is correct |
22 |
Correct |
122 ms |
11600 KB |
Output is correct |
23 |
Correct |
140 ms |
13908 KB |
Output is correct |
24 |
Correct |
143 ms |
14920 KB |
Output is correct |
25 |
Correct |
143 ms |
14020 KB |
Output is correct |
26 |
Correct |
186 ms |
14408 KB |
Output is correct |
27 |
Correct |
174 ms |
15900 KB |
Output is correct |
28 |
Correct |
158 ms |
16416 KB |
Output is correct |
29 |
Correct |
117 ms |
11848 KB |
Output is correct |
30 |
Correct |
186 ms |
14312 KB |
Output is correct |
31 |
Correct |
187 ms |
12616 KB |
Output is correct |
32 |
Correct |
167 ms |
15180 KB |
Output is correct |
33 |
Correct |
208 ms |
14408 KB |
Output is correct |
34 |
Correct |
103 ms |
11496 KB |
Output is correct |
35 |
Correct |
168 ms |
14532 KB |
Output is correct |
36 |
Correct |
160 ms |
16464 KB |
Output is correct |