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
const int nx=1e5+5;
ll n, m, k, x, dp[33][nx], u, v, w, res=LLONG_MAX;
vector<pair<ll, ll>> d[nx];
int main()
{
cin.tie(NULL)->sync_with_stdio(false);
cin>>n>>k>>m;
for (int i=1; i<(1<<k); i++) for (int j=1; j<=n; j++) dp[i][j]=1e18;
for (int i=0; i<k; i++) cin>>x, dp[(1<<i)][x]=0;
for (int i=0; i<m; i++) cin>>u>>v>>w, d[u].push_back({v, w}), d[v].push_back({u, w});
for (int i=1; i<(1<<k); i++)
{
for (int j=1; j<=n; j++) for (int k=i; k>0; k=(k-1)&i) dp[i][j]=min(dp[i][j], dp[i^k][j]+dp[k][j]);
priority_queue<pair<ll, ll>, vector<pair<ll, ll>>, greater<pair<ll, ll>>> pq;
for (int j=1; j<=n; j++) pq.push({dp[i][j], j});
while (!pq.empty())
{
auto [w, u]=pq.top();
pq.pop();
for (auto [v, nw]:d[u]) if (w+nw<dp[i][v]) dp[i][v]=w+nw, pq.push({w+nw, v});
}
}
for (int i=1; i<=n; i++) res=min(res, dp[(1<<k)-1][i]);
cout<<res;
}
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