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>
#define ll long long
#define fi first
#define se second
#define sz(x) (int)x.size()
#define ALL(v) v.begin(),v.end()
#define MASK(k) (1LL << (k))
#define BIT(x, i) (((x) >> (i)) & 1)
#define oo (ll)1e18
#define INF (ll)1e9
#define MOD (ll)(998244353)
using namespace std;
template<class T1, class T2>
bool maximize(T1 &a, T2 b){if(a < b){a = b; return true;} return false;}
template<class T1, class T2>
bool minimize(T1 &a, T2 b){if(a > b){a = b; return true;} return false;}
template<class T1, class T2>
void add(T1 &a, T2 b){a += b; if(a >= MOD) a -= MOD;}
template<class T1, class T2>
void sub(T1 &a, T2 b){a -= b; if(a < 0) a += MOD;}
template<class T>
void cps(T &v){sort(ALL(v)); v.resize(unique(ALL(v)) - v.begin());}
const int MAX = 1e5 + 10;
int N, M, K;
vector<int> vertex;
vector<pair<int, int>> adj[MAX];
ll f[MASK(6) + 10][MAX];
void solve(){
cin >> N >> K >> M;
for(int i=1; i<=K; i++){
int u; cin >> u;
vertex.push_back(u);
}
for(int i=1; i<=M; i++){
int u, v, c;
cin >> u >> v >> c;
adj[u].push_back({v, c});
adj[v].push_back({u, c});
}
memset(f, 0x3f, sizeof f);
for(int i=0; i<K; i++){
f[MASK(i)][vertex[i]] = 0;
}
for(int mask=1; mask<MASK(K); mask++){
for(int submask=mask&(mask-1); submask>0; submask=mask&(submask - 1)){
for(int i=1; i<=N; i++){
minimize(f[mask][i], f[submask][i] + f[mask ^ submask][i]);
}
}
priority_queue<pair<ll, int>, vector<pair<ll, int>>, greater<pair<ll, int>>> pq;
for(int i=1; i<=N; i++){
pq.push({f[mask][i], i});
}
while(sz(pq)){
int u = pq.top().se;
ll kc = pq.top().fi;
pq.pop();
if(kc > f[mask][u]) continue;
for(auto o: adj[u]){
int v = o.fi;
ll newkc = kc + o.se;
if(minimize(f[mask][v], newkc)){
pq.push({newkc, v});
}
}
}
}
ll ans = oo;
for(int i=1; i<=N; i++){
minimize(ans, f[MASK(K) - 1][i]);
}
cout << ans << '\n';
}
int main(){
ios_base::sync_with_stdio(0); cin.tie(0);
// freopen("flowers.inp", "r", stdin);
// freopen("flowers.out", "w", stdout);
int nTest = 1;
while(nTest--)
solve();
return 0;
}
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