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| #include <iostream> #include <queue> #include <tuple> #define maxn 100010 #define maxm 500010 #define ll long long #define INF 1000000000000000000 using namespace std;
int n, m, k;
struct Edge { int to, next, w; } e[maxm]; int c1, head[maxn]; inline void add_edge(int u, int v, int w) { e[c1].to = v; e[c1].w = w; e[c1].next = head[u]; head[u] = c1++; }
struct node { int k; ll d;
friend bool operator < (const node &u, const node &v) { return u.d > v.d; } }; bool vis[maxn]; ll dis[maxn]; int s, t; ll dijkstra(int s, int t) { for (int i = s; i <= t; ++i) dis[i] = INF; dis[s] = 0; for (int i = s; i <= t; ++i) vis[i] = 0; priority_queue<node> Q; Q.push({ s, 0 }); while (!Q.empty()) { int u = Q.top().k; Q.pop(); if (vis[u]) continue; vis[u] = 1; for (int i = head[u]; ~i; i = e[i].next) { int v = e[i].to, w = e[i].w; if (dis[v] > dis[u] + w) { dis[v] = dis[u] + w; Q.push({ v, dis[v] }); } } } return dis[t]; }
void work() { cin >> n >> m >> k; s = 0, t = n + 1; vector<tuple<int, int, int>> E; for (int i = 1; i <= m; ++i) { int x, y, z; cin >> x >> y >> z; E.emplace_back(x, y, z); } vector<int> vec; for (int i = 1, x; i <= k; ++i) cin >> x, vec.push_back(x); ll ans = INF; for (int o = 0; o < 20; ++o) { fill(head + s, head + t + 1, -1), c1 = 0; for (auto u : vec) if (u >> o & 1) add_edge(s, u, 0); else add_edge(u, t, 0); for (auto [u, v, w] : E) add_edge(u, v, w); ans = min(ans, dijkstra(s, t));
fill(head + s, head + t + 1, -1), c1 = 0; for (auto u : vec) if (u >> o & 1) add_edge(u, t, 0); else add_edge(s, u, 0); for (auto [u, v, w] : E) add_edge(u, v, w); ans = min(ans, dijkstra(s, t)); } cout << ans << "\n"; }
int main() { ios::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr);
int T; cin >> T; while (T--) work();
return 0; }
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