This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
#include <bits/stdc++.h>
using namespace std;
#define rep(i,s,e) for (ll i = s; i <= e; ++i)
#define rrep(i,s,e) for (ll i = s; i >= e; --i)
#define pb push_back
#define pf push_front
#define fi first
#define se second
#define all(a) a.begin(), a.end()
#define len(a) (ll)a.size()
typedef long long ll;
typedef pair<ll, ll> ii;
typedef vector<ii> vii;
typedef vector<ll> vi;
typedef vector<double> vd;
typedef vector<string> vs;
typedef vector<ll> vll;
int main() {
ios::sync_with_stdio(0);
cin.tie(0);
ll n, k, m; cin >> n >> k >> m;
ll T = 2;
ll dp[T+1][n][1<<k] = {};
vii adj[n];
rep (i,0,n-1) rep (j,1,(1<<k)-1) dp[0][i][j] = 1e15;
rep (i,0,k-1) {
ll x; cin >> x;
--x;
dp[0][x][1<<i] = 0;
}
rep (i,0,m-1) {
ll u, v, c; cin >> u >> v >> c;
u--, v--;
adj[u].pb({v, c});
adj[v].pb({u, c});
}
rep (a,0,T-1) {
rep (i,0,(1<<k)-1) {
priority_queue<ii, vii, greater<ii>> pq;
bool done[n] = {};
rep (j,0,n-1) pq.push({dp[a][j][i], j});
while (!pq.empty()) {
ll u = pq.top().se, D = pq.top().fi;
pq.pop();
if (done[u]) continue;
done[u] = 1;
for (auto vc : adj[u]) {
if (D + vc.se < dp[a][vc.fi][i]) {
dp[a][vc.fi][i] = D + vc.se;
pq.push({dp[a][vc.fi][i], vc.fi});
}
}
}
}
//join together different trees
rep (i,0,n-1) {
rep (j,0,(1<<k)-1) dp[a+1][i][j] = dp[a][i][j];
for (auto vc : adj[i])
rrep (j,(1<<k)-1,0)
rep (b,0,(1<<k)-1)
if ((j&b)==b)
dp[a+1][i][j] = min(dp[a+1][i][j], dp[a+1][i][j^b]+vc.se+dp[a][vc.fi][b]);
}
}
ll ans = LLONG_MAX;
rep (i,0,n-1) ans = min(ans, dp[T][i][(1<<k)-1]);
cout << ans << "\n";
return 0;
}
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