| # | Time | Username | Problem | Language | Result | Execution time | Memory |
|---|---|---|---|---|---|---|---|
| 1360251 | altern23 | Designated Cities (JOI19_designated_cities) | C++20 | 2096 ms | 41988 KiB |
#include <bits/stdc++.h>
using namespace std;
#define ll long long
const int MAXN = 2e5;
vector <pair<ll, ll>> adj[MAXN+5];
ll M;
ll dist[MAXN+5], ans[MAXN+5], tmp[MAXN+5], P[MAXN+5];
vector <pair<ll, ll>> dp[MAXN+5];
void dfs(ll idx, ll par) {
dp[idx].push_back({dist[idx], idx});
for (auto [i, j] : adj[idx]) {
if (i == par) M -= j;
else {
dist[i] = dist[idx]+j;
P[i] = idx;
dfs(i, idx);
dp[idx].push_back({dp[i].back().first, dp[i].back().second});
}
}
sort(dp[idx].begin(), dp[idx].end());
}
int main() {
ios_base::sync_with_stdio(0); cin.tie(0);
int tc = 1;
// cin >> tc;
while (tc--) {
ll N; cin >> N;
for (int i = 0; i <= N; i++) {
ans[i] = 1e18;
tmp[i] = 1e18;
}
ll m = 0;
for (int i = 2; i <= N; i++) {
ll u, v, a, b; cin >> u >> v >> a >> b;
m += a+b;
adj[u].push_back({v, a});
adj[v].push_back({u, b});
}
for (int root = 1; root <= N; root++) {
for (int i = 1; i <= N; i++) {
dp[i].clear();
dist[i] = P[i] = 0;
}
M = m;
dfs(root, -1);
priority_queue<pair<ll, ll>> pq;
vector <ll> vis(N+5);
pq.push(dp[root].back());
ll x = 1;
tmp[x] = M;
ans[x] = min(ans[x], tmp[x]);
while (!pq.empty()) {
auto [val, idx] = pq.top(); pq.pop();
tmp[x+1] = tmp[x]-val;
ans[x+1] = min(ans[x+1], tmp[x+1]);
x++;
while (idx) {
dp[idx].pop_back();
if (!dp[idx].empty()) {
pq.push({dp[idx].back().first-dist[idx], dp[idx].back().second});
}
if (vis[idx]) break;
vis[idx] = 1;
idx = P[idx];
}
}
}
for (int i = 1; i <= N; i++) ans[i] = min(ans[i-1], ans[i]);
ll Q; cin >> Q;
for (int i = 1; i <= Q; i++) {
ll z; cin >> z;
cout << ans[z] << "\n";
}
}
}
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