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>
#define ll long long
using namespace std;
const ll N = 2e5+10;
const ll oo = 1e18;
ll n, k, m, important[10];
vector<pair<ll, ll>> edges[N];
int dijkstra(vector<bool> &visited, int x) {
priority_queue<pair<ll, ll>> q;
q.push({0, x});
vector<ll> dist((int)visited.size(), oo);
vector<ll> parent((int)visited.size());
ll last = -1;
dist[x] = 0;
while(!q.empty()) {
pair<ll, ll> p = q.top(); q.pop();
if(dist[p.second] != -p.first) continue;
if(visited[p.second]) {
last = p.second;
break;
}
for(pair<ll, ll> to : edges[p.second]) {
ll dst = -p.first + to.second;
if(dist[to.first] > dst) {
dist[to.first] = dst;
parent[to.first] = p.second;
q.push({-dst, to.first});
}
}
}
assert(last != -1);
ll cost = 0;
cost += dist[last];
while(last != x) {
visited[last] = 1;
last = parent[last];
}
visited[last] = 1;
return cost;
}
int main() {
ios::sync_with_stdio(0); cin.tie(0);
cin >> n >> k >> m;
for(int i = 0; i < k; ++i) {
cin >> important[i];
--important[i];
}
for(int i = 0; i < m; ++i) {
ll u, v, c;
cin >> u >> v >> c;
--u, --v;
edges[u].push_back({v, c});
edges[v].push_back({u, c});
}
vector<int> perm(k);
iota(perm.begin(), perm.end(), 0);
ll ans = oo;
do {
vector<bool> visited(n);
visited[important[perm[0]]] = 1;
ll cost = 0;
for(int i = 1; i < (int)perm.size(); ++i) {
cost += dijkstra(visited, important[perm[i]]);
}
ans = min(ans, cost);
} while(next_permutation(perm.begin(), perm.end()));
cout << ans << endl;
}
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