///*** Sown_Vipro ***///
/// ->NHI QUOC GIA<- ///
#include<bits/stdc++.h>
using namespace std;
//#pragma GCC optimize ("O3")
//#pragma GCC optimize ("unroll-loops")
//#pragma GCC target("popcnt")
#define F first
#define S second
#define pb push_back
#define pi pair<int, int>
#define pii pair<int, pair<int, int> >
#define FOR(i, a, b) for(int i = a; i <= b; ++i)
#define REP(i, a, b) for(int i = a; i >= b; --i)
#define all(s) s.begin(), s.end()
#define szz(s) int(s.size())
const string NAME = "sown";
const int N = 1e6 + 5, MAX = 1e6, oo = 1e9 + 5, MOD = 1e9 + 7;
void maxi(int &x, int y){ if(x < y) x = y; }
void mini(int &x, int y){ if(x > y) x = y; };
void add(int &x, int y){ x += y; x += MOD * (x < 0); x -= MOD * (x >= MOD); };
int n, k, m;
int trace[N], spe[N];
long long d[N], dp[(1 << 5) + 5];
vector<pi> e[N];
vector<int> s[(1 << 5) + 5];
void dt(vector<int> &ss, int S, int A, int B){
priority_queue<pair<long long, int> > pq;
FOR(u, 1, n){
d[u] = 1e18;
trace[u] = 0;
}
for(int u : ss){
d[u] = 0;
pq.push({0, u});
}
while(pq.size()){
int u = pq.top().S;
long long du = -pq.top().F;
pq.pop();
if(du != d[u]) continue;
if(u == S) break;
for(auto [v, w] : e[u]){
if(du + w < d[v]){
d[v] = du + w;
trace[v] = u;
pq.push({-du - w, v});
}
}
}
if(dp[A] + d[S] >= dp[B]) return;
dp[B] = dp[A] + d[S];
s[B].clear();
s[B] = s[A];
while(trace[S]){
s[B].pb(S);
S = trace[S];
}
}
void solve(){
cin >> n >> k >> m;
FOR(i, 1, k){
int u; cin >> u;
spe[i] = u;
dp[u] = 0;
s[(1 << i - 1)].pb(u);
}
FOR(i, 1, m){
int u, v, w; cin >> u >> v >> w;
e[u].pb({v, w});
e[v].pb({u, w});
}
// FOR(i, 1, k) cout << spe[i] << "\n";
priority_queue<pi, vector<pi>, greater<pi> > pq;
FOR(mask, 1, (1 << k) - 1){
if(s[mask].size()) continue;
dp[mask] = 1e18;
FOR(i, 1, k){
if(mask & (1 << i - 1)){
// cout << i << " " << spe[i] << "\n";
dt(s[mask ^ (1 << i - 1)], spe[i], mask ^ (1 << i - 1), mask);
}
}
// cout << dp[mask] << "\n";
}
cout << dp[(1 << k) - 1];
}
signed main(){
ios_base::sync_with_stdio(false);
cin.tie(0); cout.tie(0);
if(fopen((NAME + ".inp").c_str(), "r")){
freopen((NAME + ".inp").c_str(), "r", stdin);
freopen((NAME + ".out").c_str(), "w", stdout);
}
int t = 1;
// cin >> t;
while(t--){
solve();
}
}
Compilation message (stderr)
cities.cpp: In function 'int main()':
cities.cpp:99:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
99 | freopen((NAME + ".inp").c_str(), "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
cities.cpp:100:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
100 | freopen((NAME + ".out").c_str(), "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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