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>
using namespace std;
#pragma GCC optimize("Ofast,unroll-loops")
#pragma GCC target("avx2,fma,bmi,bmi2,popcnt,lzcnt")
const int MAXN = 2e5 + 25;
typedef long long ll;
const ll inf = 1e16;
vector <pair <int, int>> adj[MAXN];
int n, m, k;
int s[5]; int ind[MAXN];
ll dist[1 << 5][MAXN];
void solve () {
cin >> n >> k >> m;
memset(ind, -1, sizeof(ind));
for (int i = 0; i < k; i++) {
cin >> s[i]; ind[s[i]] = i;
}
for (int i = 1; i <= m; i++) {
int a, b, c; cin >> a >> b >> c;
adj[a].push_back({b, c});
adj[b].push_back({a, c});
}
for (int j = 1; j <= n; j++) {
for (int i = 0; i < (1 << k); i++) {
dist[i][j] = inf;
}
}
for (int i = 0; i < k; i++) {
dist[1 << i][s[i]] = 0;
}
for (int i = 1; i <= n; i++) {
dist[0][i] = 0;
}
for (int i = 1; i < (1 << k); i++) {
for (int z = (i - 1) & i; z > 0; z = (z - 1) & i) {
for (int j = 1; j <= n; j++) {
dist[i][j] = min(dist[i][j], dist[z][j] + dist[i ^ z][j]);
}
}
priority_queue <pair <ll, int>, vector <pair <ll, int>>, greater <>> pq;
for (int j = 1; j <= n; j++) {
pq.push({dist[i][j], j});
}
while (!pq.empty()) {
auto k = pq.top();
pq.pop();
if (k.first > dist[i][k.second]) continue;
for (auto j : adj[k.second]) {
if (j.second + k.first < dist[i][j.first]) {
dist[i][j.first] = j.second + k.first;
pq.push({dist[i][j.first], j.first});
}
}
}
}
ll mn = inf;
for (int i = 1; i <= n; i++) {
mn = min(mn, dist[(1 << k) - 1][i]);
}
cout << mn << '\n';
}
signed main () {
ios::sync_with_stdio(0); cin.tie(0);
int tc = 1; //cin >> tc;
while (tc--) solve();
}
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