#line 1 "/home/y_midori/cp/test/ng.test.cpp" #define PROBLEM "https://yukicoder.me/problems/114" #line 2 "template.hpp" // #pragma GCC target("avx2") // #pragma GCC optimize("O3") // #pragma GCC optimize("unroll-loops") #include using namespace std; // https://xn--kst.jp/blog/2019/08/29/cpp-comp/ // debug methods // usage: debug(x,y); // vector 出力できるように修正 template ostream& debug_print(ostream& os, const vector& v) { os << "["; for (size_t i = 0; i < v.size(); ++i) { os << v[i]; if (i < v.size() - 1) os << ", "; } os << "]"; return os; } template ostream& debug_print(ostream& os, const T& var) { os << var; return os; } #define CHOOSE(a) CHOOSE2 a #define CHOOSE2(a0, a1, a2, a3, a4, x, ...) x #define debug_1(x1) { cout << #x1 << ": "; debug_print(cout, x1) << endl; } #define debug_2(x1, x2) { cout << #x1 << ": "; debug_print(cout, x1) << ", " << #x2 << ": "; debug_print(cout, x2) << endl; } #define debug_3(x1, x2, x3) { cout << #x1 << ": "; debug_print(cout, x1) << ", " << #x2 << ": "; debug_print(cout, x2) << ", " << #x3 << ": "; debug_print(cout, x3) << endl; } #define debug_4(x1, x2, x3, x4) { cout << #x1 << ": "; debug_print(cout, x1) << ", " << #x2 << ": "; debug_print(cout, x2) << ", " << #x3 << ": "; debug_print(cout, x3) << ", " << #x4 << ": "; debug_print(cout, x4) << endl; } #define debug_5(x1, x2, x3, x4, x5) { cout << #x1 << ": "; debug_print(cout, x1) << ", " << #x2 << ": "; debug_print(cout, x2) << ", " << #x3 << ": "; debug_print(cout, x3) << ", " << #x4 << ": "; debug_print(cout, x4) << ", " << #x5 << ": "; debug_print(cout, x5) << endl; } #ifdef LOCAL #define debug(...) CHOOSE((__VA_ARGS__, debug_5, debug_4, debug_3, debug_2, debug_1, ~))(__VA_ARGS__) #else #define debug(...) #endif using ll = long long; using vl = vector; using vll = vector; using P = pair; #define all(v) v.begin(), v.end() template inline bool chmax(T &a, T b) { return ((a < b) ? (a = b, true) : (false)); } template inline bool chmin(T &a, T b) { return ((a > b) ? (a = b, true) : (false)); } #define rep1(i, n) for(ll i = 1; i <= ((ll)n); ++i) // https://trap.jp/post/1224/ template constexpr auto min(T... a) { return min(initializer_list>{a...}); } template constexpr auto max(T... a) { return max(initializer_list>{a...}); } template void input(T &...a) { (cin >> ... >> a); } template void input(vector &a) { for(T &x : a) cin >> x; } void print() { cout << '\n'; } template void print(const T &a, const Ts &...b) { cout << a; (cout << ... << (cout << ' ', b)); cout << '\n'; } void print(const string &s) { cout << s << '\n'; } template struct is_container : std::false_type {}; template struct is_container().begin()), decltype(std::declval().end())>> : std::true_type {}; template typename enable_if::value>::type print(const Container& x) { if (!x.empty()) { auto it = x.begin(); for (; it != prev(x.end()); ++it) { cout << *it << " "; } cout << *it << "\n"; // 最後の要素を出力して改行 } } #define INT(...) \ int __VA_ARGS__; \ input(__VA_ARGS__) #define LL(...) \ long long __VA_ARGS__; \ input(__VA_ARGS__) #define STR(...) \ string __VA_ARGS__; \ input(__VA_ARGS__) #define REP1(a) for(ll i = 0; i < a; i++) #define REP2(i, a) for(ll i = 0; i < a; i++) #define REP3(i, a, b) for(ll i = a; i < b; i++) #define REP4(i, a, b, c) for(ll i = a; i < b; i += c) #define overload4(a, b, c, d, e, ...) e #define rep(...) overload4(__VA_ARGS__, REP4, REP3, REP2, REP1)(__VA_ARGS__) ll inf = 3e18; vl dx = {1, -1, 0, 0}; vl dy = {0, 0, 1, -1}; #line 3 "graph/graph-template.hpp" // https://ei1333.github.io/library/graph/graph-template.hpp template struct Edge { int from, to; T cost; int idx; Edge() = default; Edge(int from, int to, T cost = 1, int idx = -1) : from(from), to(to), cost(cost), idx(idx) {} }; template struct Graph { vector>> g; int es; // edge_size Graph(int n) : g(n), es(0) {}; int size() const { return ssize(g); } void add_directed_edge(int from, int to, T cost = 1) { g[from].emplace_back(from, to, cost, es++); } void add_edge(int from, int to, T cost = 1) { g[from].emplace_back(from, to, cost, es); g[to].emplace_back(to, from, cost, es++); } vector> &operator[](const int &k) { return g[k]; } const vector> &operator[](const int &k) const { return g[k]; } void read(int m, int padding = -1, bool weighted = false, bool directed = false) { rep(i, m) { int a, b; T c(1); cin >> a >> b; a += padding; b += padding; if(weighted) cin >> c; if(directed) add_directed_edge(a, b, c); else add_edge(a, b, c); } } }; #line 3 "graph/minimum-steiner-tree.hpp" template struct MinimumSteinerTree { int n, k; vector terminal; T cost; const T infty = numeric_limits::max(); vector> dp; MinimumSteinerTree(const Graph &g, const vector terminal) : n(g.size()), k(terminal.size()), terminal(terminal), cost(0), dp(1 << k, vector(n, infty)) { assert(!terminal.empty()); rep(i, k) { dp[1 << i][terminal[i]] = 0; } rep(bit, 1, 1 << k) { rep(i, n) { for(int sub = (bit - 1) & bit; sub > 0; sub = (sub - 1) & bit) { if(dp[sub][i] != infty and dp[bit ^ sub][i] != infty) chmin(dp[bit][i], dp[sub][i] + dp[bit ^ sub][i]); } } using pti = pair; priority_queue, greater> pq; rep(i, n) pq.push(pti(dp[bit][i], i)); while(pq.size()) { auto [c, v] = pq.top(); pq.pop(); if(c != dp[bit][v] or c == infty) continue; for(auto &e : g[v]) { T nc = c + e.cost; if(chmin(dp[bit][e.to], nc)) pq.push(pti(nc, e.to)); } } } cost = dp.back()[terminal.front()]; } }; #line 4 "/home/y_midori/cp/test/ng.test.cpp" void solve() { INT(n, m, t); Graph g(n); g.read(m, -1, true); vector term(t); for(auto &ti : term) { cin >> ti; --ti; } MinimumSteinerTree mst(g, term); print(mst.cost); } int main() { ios::sync_with_stdio(false); std::cin.tie(nullptr); solve(); }