#pragma GCC optimize ("O3") #include // clang-format off using namespace std; using ll = long long int; #define all(v) (v).begin(),(v).end() #define repeat(cnt,l) for(typename remove_const::type>::type cnt={};(cnt)<(l);++(cnt)) #define rrepeat(cnt,l) for(auto cnt=(l)-1;0<=(cnt);--(cnt)) #define iterate(cnt,b,e) for(auto cnt=(b);(cnt)!=(e);++(cnt)) #define increase(cnt,b,e) for(auto cnt=(b);(cnt)<(e);++(cnt)) #define decrease(cnt,b,e) for(auto cnt=(b);(e)<=(cnt);--(cnt)) const long long MD = 1000000007; const long double PI = 3.1415926535897932384626433832795L; template inline ostream& operator <<(ostream &o, const pair p) { o << '(' << p.first << ':' << p.second << ')'; return o; } template inline T& chmax(T& to, const T& val) { return to = max(to, val); } template inline T& chmin(T& to, const T& val) { return to = min(to, val); } void bye(string s, int code = 0) { cout << s << endl; exit(code); } mt19937_64 randdev(8901016); template::value>::type* = nullptr> inline T rand(T l, T h, Random& rand = randdev) { return uniform_int_distribution(l, h)(rand); } template::value>::type* = nullptr> inline T rand(T l, T h, Random& rand = randdev) { return uniform_real_distribution(l, h)(rand); }template static ostream& operator<<(ostream& o, const std::vector& v) { o << "[ "; for(const auto& e : v) o< struct MyRangeFormat{ I b,e; MyRangeFormat(I _b, I _e):b(_b),e(_e){} }; template static ostream& operator<<(ostream& o, const MyRangeFormat& f) { o << "[ "; iterate(i,f.b,f.e) o<<*i<<' '; return o << ']'; } template struct MyMatrixFormat{ const I& p; long long n, m; MyMatrixFormat(const I& _p, long long _n, long long _m):p(_p),n(_n),m(_m){} }; template static ostream& operator<<(ostream& o, const MyMatrixFormat& f) { o<<'\n'; repeat(i,(f.n)) { repeat(j,f.m) o<(m,m+w)) #define FMTR(b,e) (MyRangeFormat(b,e)) #define FMTV(v) FMTR(v.begin(),v.end()) #define FMTM(m,h,w) (MyMatrixFormat(m,h,w)) #if defined(_WIN32) || defined(_WIN64) #define getc_x _getc_nolock #define putc_x _putc_nolock #elif defined(__GNUC__) #define getc_x getc_unlocked #define putc_x putc_unlocked #else #define getc_x getc #define putc_x putc #endif class MaiScanner { FILE* fp_; constexpr bool isvisiblechar(char c) noexcept { return (0x21<=(c)&&(c)<=0x7E); } public: inline MaiScanner(FILE* fp):fp_(fp){} template void input_integer(T& var) noexcept { var = 0; T sign = 1; int cc = getc_x(fp_); for (; cc < '0' || '9' < cc; cc = getc_x(fp_)) if (cc == '-') sign = -1; for (; '0' <= cc && cc <= '9'; cc = getc_x(fp_)) var = (var << 3) + (var << 1) + cc - '0'; var = var * sign; } inline int c() noexcept { return getc_x(fp_); } template::value, nullptr_t>::type = nullptr> inline MaiScanner& operator>>(T& var) noexcept { input_integer(var); return *this; } inline MaiScanner& operator>>(string& var) { int cc = getc_x(fp_); for (; !isvisiblechar(cc); cc = getc_x(fp_)); for (; isvisiblechar(cc); cc = getc_x(fp_)) var.push_back(cc); return *this; } template inline void in(IT begin, IT end) { for (auto it = begin; it != end; ++it) *this >> *it; } }; class MaiPrinter { FILE* fp_; public: inline MaiPrinter(FILE* fp):fp_(fp){} template void output_integer(T var) noexcept { if (var == 0) { putc_x('0', fp_); return; } if (var < 0) putc_x('-', fp_), var = -var; char stack[32]; int stack_p = 0; while (var) stack[stack_p++] = '0' + (var % 10), var /= 10; while (stack_p) putc_x(stack[--stack_p], fp_); } inline MaiPrinter& operator<<(char c) noexcept { putc_x(c, fp_); return *this; } template::value, nullptr_t>::type = nullptr> inline MaiPrinter& operator<<(T var) noexcept { output_integer(var); return *this; } inline MaiPrinter& operator<<(const char* str_p) noexcept { while (*str_p) putc_x(*(str_p++), fp_); return *this; } inline MaiPrinter& operator<<(const string& str) { const char* p = str.c_str(); const char* l = p + str.size(); while (p < l) putc_x(*p++, fp_); return *this; } template void join(IT begin, IT end, char sep = ' ') { for (bool b = 0; begin != end; ++begin, b = 1) b ? *this << sep << *begin : *this << *begin; } }; MaiScanner scanner(stdin); MaiPrinter printer(stdout); // clang-format on class Unionfind { public: vector data; explicit Unionfind(int size) : data(size, -1) {} bool connect(int x, int y) { x = root(x); y = root(y); if (x != y) { if (data[y] < data[x]) swap(x, y); data[x] += data[y]; data[y] = (int)x; } return x != y; } inline bool same(int x, int y) { return root(x) == root(y); } inline int root(int x) { return (int)(data[x] < 0 ? x : data[x] = root(data[x])); } inline int size(int x) { return -data[root(x)]; } }; class Graph2d { public: using W_T = ll; int n; vector matrix; explicit Graph2d(int size) : n(size), matrix(size * size){}; inline int size() const { return n; } void resize(int s) { n = s; matrix.resize(n * n); } void resize(int s, W_T val) { n = s; matrix.resize(n * n, val); } inline W_T& at(int y, int x) { return matrix[y * n + x]; } inline W_T& operator()(int y, int x) { return matrix[y * n + x]; } inline W_T at(int y, int x) const { return matrix[y * n + x]; } inline W_T operator()(int y, int x) const { return matrix[y * n + x]; } inline void connect(int u, int v, W_T dist = 1) { at(u, v) = at(v, u) = dist; } inline void connect_d(int from, int to, W_T dist = 1) { // directedEdge u->v at(from, to) = dist; } }; void warshall_floyd(Graph2d& g) { int i, j, k; for (i = 0; i < g.n; i++) { for (j = 0; j < g.n; j++) { for (k = 0; k < g.n; k++) { g(j, k) = std::min(g(j, k), g(j, i) + g(i, k)); } } } } // int N, M, K; ll A[22]; vector>> edges; // ll solve(bitset<20> ss) { Unionfind uf(N); ll total = 0; for (auto ee : edges) { if (!ss[ee.second.first] || !ss[ee.second.second]) continue; if (uf.connect(ee.second.first, ee.second.second)) { total += ee.first; } } int p; repeat(i, N) if (ss[i]) { p = i; break; } // LOG << p; // LOG << uf.size(p); if (uf.size(p) == K) { repeat(i, N) if (ss[i]) total += A[i]; return total; } else { return numeric_limits::max(); } } int main() { scanner >> N >> M >> K; scanner.in(A, A+N); Graph2d g(N); fill(all(g.matrix), numeric_limits::max()/4); repeat(i, M) { int x, y, z; scanner >> x >> y >> z; --x; --y; g(x, y) = z; g(y, x) = z; // edges.emplace_back(z, make_pair(x, y)); } warshall_floyd(g); repeat(y, N-1) { iterate(x, y+1, N) { edges.emplace_back(g(y, x), make_pair(y, x)); } } ll best = numeric_limits::max(); repeat(b, 1 << N) { auto s = bitset<20>(b); if (int(s.count()) != K) continue; chmin(best, solve(s)); } cout << best << endl; return 0; }