#include using namespace std; #define rep(i,n) for(ll i=0;i=0;i--) #define perl(i,r,l) for(ll i=r-1;i>=l;i--) #define fi first #define se second #define pb push_back #define ins insert #define pqueue(x) priority_queue,greater> #define all(x) (x).begin(),(x).end() #define CST(x) cout<> #define rev(x) reverse(x); using ll=long long; using vl=vector; using vvl=vector>; using pl=pair; using vpl=vector; using vvpl=vector; const ll MOD=1000000007; const ll MOD9=998244353; const int inf=1e9+10; const ll INF=4e18; const ll dy[9]={0,-1,0,1,1,1,-1,-1,0}; const ll dx[9]={-1,0,1,0,1,-1,1,-1,0}; template inline bool chmin(T& a, T b) { if (a > b) { a = b; return true; } return false; } template inline bool chmax(T& a, T b) { if (a < b) { a = b; return true; } return false; } void solve(ll n,ll m,ll t){ vvpl g(n); rep(i,m){ ll a,b,c;cin >> a >> b >> c;a--;b--; g[a].emplace_back(pl(b,c)); g[b].emplace_back(pl(a,c)); } vvl dp(1<> x;x--; dp[1<=0;k--){ k&=i; chmin(dp[i][j],dp[k][j]+dp[i^k][j]); } } priority_queue> que; rep(j,n)que.push({dp[i][j],j}); while(que.size()){ auto [dist,v]=que.top();que.pop(); if(dist>dp[i][v])continue; for(auto [to,cost]:g[v]){ if(dist+cost par; vector edge; UnionFind(int n) : par(n, -1),edge(n, 0) {} int root(int x) { if (par[x] < 0) return x; else return par[x] = root(par[x]); } bool same(int x, int y) { return root(x) == root(y); } bool merge(int x, int y) { x = root(x); y = root(y); if (x == y) { edge[x]++; return false; } if (par[x] > par[y]) swap(x, y); par[x] += par[y]; par[y] = x; edge[x] += edge[y]+1; return true; } int size(int x) { return -par[root(x)]; } }; struct edge{ ll u,v,cost; bool operator<(edge &g){ return cost ed(m); rep(i,m){ ll a,b,c;cin >> a >> b >> c;a--;b--; ed[i]={a,b,c}; } sort(all(ed)); vl ex(n); rep(i,t){ ll a;cin >> a;a--;ex[a]++; } vl ord,ter; rep(i,n){ if(!ex[i])ord.emplace_back(i); } ll ans=INF; rep(bit,1<>i&1)use[ord[i]]++; UnionFind uf(n); ll cnt=0; for(auto [u,v,cost]:ed){ if(!use[u])continue; if(!use[v])continue; if(uf.same(u,v))continue; uf.merge(u,v);cnt++;ret+=cost; } if(cnt+1==__builtin_popcount(bit)+t)chmin(ans,ret); } cout << ans << endl; } int main(){ ll n,m,t;cin >> n >> m >> t; if(t<=15){ solve(n,m,t); } else{ solve2(n,m,t); } }