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;
#define ll long long
#define pll pair<long long, long long>
#define pb push_back
#define F first
#define S second
#define all(x) (x).begin(), (x).end()
const ll N = 1e5 + 100;
const ll inf = 1e18;
const ll mod = 1e9 + 7;
const ll block = 350;
ll dp[70][N];
vector<pll>adj[N];
ll a[N];
ll n,k,m;
void to_thic_cau(){
cin >> n >> k >> m;
for(int i = 0; i < (1 << k);i++){
for(int j = 1; j <= n;j++) dp[i][j] = inf;
}
for(int i = 1; i <= k;i++){
cin >> a[i];
dp[1 << (i - 1)][a[i]] = 0;
}
for(int i = 1; i <= m;i++){
ll u,v,c; cin >> u >> v >> c;
adj[u].pb({v, c}); adj[v].pb({u, c});
}
struct cmp{
bool operator()(const pll &a, const pll &b){
return a.S > b.S;
}
};
priority_queue<pll, vector<pll>, cmp>q;
for(int msk = 1; msk < (1 << k);msk++){
for(int s = (msk - 1) & msk; s > 0; s = (s - 1) & msk){
for(int i = 1; i <= n;i++){
dp[msk][i] = min(dp[s][i] + dp[msk ^ s][i], dp[msk][i]);
}
}
for(int i = 1; i <= n;i++) q.push({i, dp[msk][i]});
while(q.size()){
ll u = q.top().F, c = q.top().S; q.pop();
if(c > dp[msk][u]) continue;
for(auto x : adj[u]){
ll v = x.F, w = x.S;
if(dp[msk][u] + w < dp[msk][v]){
dp[msk][v] = dp[msk][u] + w;
q.push({v, dp[msk][v]});
}
}
}
}
ll res = inf;
for(int i = 1; i <= n;i++){
res = min(res, dp[(1 << k) - 1][i]);
}
cout<< res << '\n';
}
signed main()
{
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
ll tc = 1;
// cin >> tc;
while(tc--) to_thic_cau();
}
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