This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#ifdef MINA
#include "grader.cpp"
#endif
#include "roads.h"
using namespace std;
#define ll long long
const int N = 100'005;
int t[N], curt;
vector<array<int, 2>> adj[N], newadj[N];
void build(int i, int p) {
t[i] = curt++;
for (auto &[nxt, w] : adj[i]) {
if (nxt == p) continue;
build(nxt, i);
newadj[t[i]].push_back({t[nxt], w});
}
}
ll dp[N][2], s[N], m;
vector<ll> vals[N];
vector<ll> minimum_closure_costs(int n, vector<int> u, vector<int> v, vector<int> W) {
for (int i = 0; i < n - 1; i++) {
adj[u[i]].push_back({v[i], W[i]});
adj[v[i]].push_back({u[i], W[i]});
}
build(0, -1);
int mx = 0;
for (int i = 0; i < n; i++) {
adj[i] = newadj[i];
mx = max(mx, (int)adj[i].size());
}
vector<ll> ret(n);
for (m = 0; m < n; m++) {
if (m > mx) {
ret[m] = ret[m - 1];
continue;
}
for (int i = n - 1; i >= 0; i--) {
s[i] = 0;
vals[i].clear();
dp[i][0] = dp[i][1] = 0;
for (auto [nxt, w] : adj[i]) {
dp[i][0] += dp[nxt][1];
dp[i][1] += dp[nxt][1];
vals[i].push_back(- dp[nxt][1] + dp[nxt][0] + w);
}
sort(vals[i].begin(), vals[i].end());
int rem = adj[i].size() - m;
int lst = 0;
for (auto j : vals[i]) {
if (j >= 0) break;
lst++;
}
for (int j = 0; j < max(lst, rem); j++) {
dp[i][0] += vals[i][j];
}
if (m == 0) {
dp[i][1] = 1e18;
} else {
for (int j = 0; j < max(lst, rem + 1); j++) {
dp[i][1] += vals[i][j];
}
}
}
ret[m] = dp[0][0];
}
return ret;
}
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