# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
1245861 | tuanhung0 | Cities (BOI16_cities) | C++20 | 0 ms | 0 KiB |
#include<bits/stdc++.h>
using namespace std;
#define int long long
#define ll long long
#define fi first
#define se second
#define pb push_back
#define FOR(i, l, r) for (int i = l; i <= r; ++i)
#define FORD(i, l, r) for (int i = r; i >= l; --i)
#define BIT(x, i) ((x) >> (i)) & 1
#define task ""
const int nmax = 1e5;
const ll mod = 1e9 + 7;
const int inf = 0x3f3f3f3f;
const ll linf = 1e15;
int n, m, k;
vector<pair<int, int>> adj[nmax + 5];
int dist[nmax + 5][35];
void solve() {
FOR(mask, 1, (1 << k) - 1) {
priority_queue<pair<int, int>, vector<pair<int, int>>, greater<pair<int, int>>> pq;
FOR(i, 1, n) {
for (int _mask = mask; _mask; _mask = (_mask - 1) & mask) {
dist[i][mask] = min(dist[i][mask], dist[i][_mask] + dist[i][mask ^ _mask]);
}
if (dist[i][mask] < inf) pq.push({dist[i][mask], i});
}
// cout << mask << " : ";
while (!pq.empty()) {
pair<int, int> tp = pq.top();
pq.pop();
int d = tp.fi, u = tp.se;
if (d > dist[u][mask]) continue;
// cout << u << ' ';
for (pair<int, int> v : adj[u]) {
if (dist[v.fi][mask] > dist[u][mask] + v.se) {
dist[v.fi][mask] = dist[u][mask] + v.se;
pq.push({dist[v.fi][mask], v.fi});
}
}
}
// cout << '\n';
}
int ans = inf;
FOR(i, 1, n) ans = min(ans, dist[i][(1 << k) - 1]);
cout << ans;
}
int main() {
ios::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
cin >> n >> k >> m;
memset(dist, 0x3f3f3f3f, sizeof dist);
FOR(i, 0, k - 1) {
int x; cin >> x;
dist[x][(1 << i)] = 0;
}
FOR(i, 1, m) {
int u, v, w;
cin >> u >> v >> w;
adj[u].pb({v, w});
adj[v].pb({u, w});
}
solve();
return 0;
}