#ifdef LOCAL #define _GLIBCXX_DEBUG #pragma GCC optimize("O0") #else #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #endif #include // #include using namespace std; #include using mint = atcoder::modint998244353; istream& operator>>(istream& in, mint& x) { long long a; in >> a; x = a; return in; } ostream& operator<<(ostream& out, const mint& x) { return out << x.val(); } using ll = long long; using u32 = unsigned int; using u64 = unsigned long long; using i128 = __int128; using u128 = unsigned __int128; using f128 = __float128; template constexpr T infty = 0; template <> constexpr int infty = 1'000'000'000; template <> constexpr ll infty = ll(infty) * infty * 2; template <> constexpr u32 infty = infty; template <> constexpr u64 infty = infty; template <> constexpr i128 infty = i128(infty) * infty; template <> constexpr double infty = infty; template <> constexpr long double infty = infty; using pi = pair; using pl = pair; using vi = vector; using vl = vector; template using vc = vector; template using vvc = vector>; using vvi = vvc; using vvl = vvc; template using vvvc = vector>; template using vvvvc = vector>; template using vvvvvc = vector>; template using pqg = std::priority_queue, greater>; template using umap = unordered_map; // template // using tree = __gnu_pbds::tree, // __gnu_pbds::rb_tree_tag, // __gnu_pbds::tree_order_statistics_node_update>; #define vv(type, name, h, ...) \ vector> name(h, vector(__VA_ARGS__)) #define vvv(type, name, h, w, ...) \ vector>> name( \ h, vector>(w, vector(__VA_ARGS__))) #define vvvv(type, name, a, b, c, ...) \ vector>>> name( \ a, vector>>( \ b, vector>(c, vector(__VA_ARGS__)))) // FOR(a) := for (ll _ = 0; _ < (ll)a; ++_) // FOR(i, a) := for (ll i = 0; i < (ll)a; ++i) // FOR(i, a, b) := for (ll i = a; i < (ll)b; ++i) // FOR(i, a, b, c) := for (ll i = a; i < (ll)b; i += (c)) // FOR_R(a) := for (ll i = (a) - 1; i >= 0; --i) // FOR_R(i, a) := for (ll i = (a) - 1; i >= 0; --i) // FOR_R(i, a, b) := for (ll i = (b) - 1; i >= (ll)a; --i) #define FOR1(a) for (ll _ = 0; _ < (ll)a; ++_) #define FOR2(i, a) for (ll i = 0; i < (ll)a; ++i) #define FOR3(i, a, b) for (ll i = a; i < (ll)b; ++i) #define FOR4(i, a, b, c) for (ll i = a; i < (ll)b; i += (c)) #define FOR1_R(a) for (ll i = (a) - 1; i >= 0; --i) #define FOR2_R(i, a) for (ll i = (a) - 1; i >= 0; --i) #define FOR3_R(i, a, b) for (ll i = (b) - 1; i >= (ll)a; --i) #define overload4(a, b, c, d, e, ...) e #define overload3(a, b, c, d, ...) d #define FOR(...) overload4(__VA_ARGS__, FOR4, FOR3, FOR2, FOR1)(__VA_ARGS__) #define FOR_R(...) overload3(__VA_ARGS__, FOR3_R, FOR2_R, FOR1_R)(__VA_ARGS__) #define FOR_subset(t, s) \ for (int t = (s); t >= 0; t = (t == 0 ? -1 : (t - 1) & (s))) #define all(x) x.begin(), x.end() #define rall(x) x.rbegin(), x.rend() int popcnt(int x) { return __builtin_popcount(x); } int popcnt(u32 x) { return __builtin_popcount(x); } int popcnt(ll x) { return __builtin_popcountll(x); } int popcnt(u64 x) { return __builtin_popcountll(x); } int popcnt_mod_2(int x) { return __builtin_parity(x); } int popcnt_mod_2(u32 x) { return __builtin_parity(x); } int popcnt_mod_2(ll x) { return __builtin_parityll(x); } int popcnt_mod_2(u64 x) { return __builtin_parityll(x); } // (0, 1, 2, 3, 4) -> (-1, 0, 1, 1, 2) int topbit(int x) { return (x == 0 ? -1 : 31 - __builtin_clz(x)); } int topbit(u32 x) { return (x == 0 ? -1 : 31 - __builtin_clz(x)); } int topbit(ll x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); } int topbit(u64 x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); } // (0, 1, 2, 3, 4) -> (-1, 0, 1, 0, 2) int lowbit(int x) { return (x == 0 ? -1 : __builtin_ctz(x)); } int lowbit(u32 x) { return (x == 0 ? -1 : __builtin_ctz(x)); } int lowbit(ll x) { return (x == 0 ? -1 : __builtin_ctzll(x)); } int lowbit(u64 x) { return (x == 0 ? -1 : __builtin_ctzll(x)); } template T floor(T a, T b) { return a / b - (a % b && (a ^ b) < 0); } template T ceil(T x, T y) { return floor(x + y - 1, y); } template T bmod(T x, T y) { return x - y * floor(x, y); } template pair divmod(T x, T y) { T q = floor(x, y); return {q, x - q * y}; } template T POW(U x_, int n) { T x = x_; T ret = 1; while (n > 0) { if (n & 1) ret *= x; x *= x; n >>= 1; } return ret; } template T SUM(const vector& A) { T sm = 0; for (auto&& a : A) sm += a; return sm; } #define LB(c, x) distance((c).begin(), lower_bound(all(c), (x))) #define UB(c, x) distance((c).begin(), upper_bound(all(c), (x))) #define UNIQUE(x) \ sort(all(x)), x.erase(unique(all(x)), x.end()), x.shrink_to_fit() template inline bool chmax(T& a, const S& b) { return (a < b ? a = b, 1 : 0); } template inline bool chmin(T& a, const S& b) { return (a > b ? a = b, 1 : 0); } // ? は -1 vc s_to_vi(const string& S, char first_char) { vc A(S.size()); FOR(i, S.size()) { A[i] = (S[i] != '?' ? S[i] - first_char : -1); } return A; } template vector cumsum(vector& A, int off = 1) { int N = A.size(); vector B(N + 1); FOR(i, N) { B[i + 1] = B[i] + A[i]; } if (off == 0) B.erase(B.begin()); return B; } template vector argsort(const vector& A) { vector ids(A.size()); iota(all(ids), 0); sort(all(ids), [&](int i, int j) { return (A[i] == A[j] ? i < j : A[i] < A[j]); }); return ids; } // A[I[0]], A[I[1]], ... template vc rearrange(const vc& A, const vc& I) { vc B(I.size()); FOR(i, I.size()) B[i] = A[I[i]]; return B; } template constexpr auto min(T... a) { return min(initializer_list>{a...}); } template constexpr auto max(T... a) { return max(initializer_list>{a...}); } void print() { cout << '\n'; } template void print(const T& a) { cout << a << '\n'; } template void print(const T& a, const Ts&... b) { cout << a; (cout << ... << (cout << ' ', b)); cout << '\n'; } template void print(vector& a) { for (int i = 0; i < (int)a.size(); ++i) { cout << a[i] << " \n"[i == (int)a.size() - 1]; } } template void print(vector&& a) { for (int i = 0; i < (int)a.size(); ++i) { cout << a[i] << " \n"[i == (int)a.size() - 1]; } } template void print(vector>& a) { for (int i = 0; i < (int)a.size(); ++i) { for (int j = 0; j < (int)a[i].size(); ++j) { cout << a[i][j] << " \n"[j == (int)a[i].size() - 1]; } } } template void print(vector>&& a) { for (int i = 0; i < (int)a.size(); ++i) { for (int j = 0; j < (int)a[i].size(); ++j) { cout << a[i][j] << " \n"[j == (int)a[i].size() - 1]; } } } void YESNO(bool b) { cout << (b ? "YES" : "NO") << endl; } void YesNo(bool b) { cout << (b ? "Yes" : "No") << endl; } #ifdef LOCAL // https://zenn.dev/sassan/articles/19db660e4da0a4 #include "/Library/cpp-dump/dump.hpp" #define dump(...) cpp_dump(__VA_ARGS__) CPP_DUMP_DEFINE_EXPORT_OBJECT(mint, val()); #else #define dump(...) #define CPP_DUMP_SET_OPTION(...) #define CPP_DUMP_DEFINE_EXPORT_OBJECT(...) #define CPP_DUMP_DEFINE_EXPORT_ENUM(...) #define CPP_DUMP_DEFINE_DANGEROUS_EXPORT_OBJECT(...) #endif //---------------------------------------------------------------- #include using namespace std; namespace HashMapImpl { using u32 = uint32_t; using u64 = uint64_t; template struct HashMapBase; template struct itrB : iterator { using base = iterator; using ptr = typename base::pointer; using ref = typename base::reference; u32 i; HashMapBase* p; explicit constexpr itrB() : i(0), p(nullptr) {} explicit constexpr itrB(u32 _i, HashMapBase* _p) : i(_i), p(_p) {} explicit constexpr itrB(u32 _i, const HashMapBase* _p) : i(_i), p(const_cast*>(_p)) {} friend void swap(itrB& l, itrB& r) { swap(l.i, r.i), swap(l.p, r.p); } friend bool operator==(const itrB& l, const itrB& r) { return l.i == r.i; } friend bool operator!=(const itrB& l, const itrB& r) { return l.i != r.i; } const ref operator*() const { return const_cast*>(p)->data[i]; } ref operator*() { return p->data[i]; } ptr operator->() const { return &(p->data[i]); } itrB& operator++() { assert(i != p->cap && "itr::operator++()"); do { i++; if (i == p->cap) break; if (p->occupied_flag[i] && !p->deleted_flag[i]) break; } while (true); return (*this); } itrB operator++(int) { itrB it(*this); ++(*this); return it; } itrB& operator--() { do { i--; if (p->occupied_flag[i] && !p->deleted_flag[i]) break; assert(i != 0 && "itr::operator--()"); } while (true); return (*this); } itrB operator--(int) { itrB it(*this); --(*this); return it; } }; template struct HashMapBase { using u32 = uint32_t; using u64 = uint64_t; using iterator = itrB; using itr = iterator; protected: template inline u64 randomized(const K& key) const { return u64(key) ^ r; } template ::value, nullptr_t> = nullptr, enable_if_t::value, nullptr_t> = nullptr> inline u32 inner_hash(const K& key) const { return (randomized(key) * 11995408973635179863ULL) >> shift; } template ::value, nullptr_t> = nullptr, enable_if_t::value, nullptr_t> = nullptr, enable_if_t::value, nullptr_t> = nullptr> inline u32 inner_hash(const K& key) const { u64 a = randomized(key.first), b = randomized(key.second); a *= 11995408973635179863ULL; b *= 10150724397891781847ULL; return (a + b) >> shift; } template < typename K, enable_if_t::value, nullptr_t> = nullptr, enable_if_t::value, nullptr_t> = nullptr> inline u32 inner_hash(const K& key) const { static constexpr u64 mod = (1LL << 61) - 1; static constexpr u64 base = 950699498548472943ULL; u64 res = 0; for (auto& elem : key) { __uint128_t x = __uint128_t(res) * base + (randomized(elem) & mod); res = (x & mod) + (x >> 61); } __uint128_t x = __uint128_t(res) * base; res = (x & mod) + (x >> 61); if (res >= mod) res -= mod; return res >> (shift - 3); } template ::value, nullptr_t> = nullptr> inline u32 hash(const D& dat) const { return inner_hash(dat); } template ::value, nullptr_t> = nullptr> inline u32 hash(const D& dat) const { return inner_hash(dat.first); } template ::value, nullptr_t> = nullptr> inline Key data_to_key(const D& dat) const { return dat; } template ::value, nullptr_t> = nullptr> inline Key data_to_key(const D& dat) const { return dat.first; } void reallocate(u32 ncap) { vector ndata(ncap); vector nf(ncap); shift = 64 - __lg(ncap); for (u32 i = 0; i < cap; i++) { if (occupied_flag[i] && !deleted_flag[i]) { u32 h = hash(data[i]); while (nf[h]) h = (h + 1) & (ncap - 1); ndata[h] = move(data[i]); nf[h] = true; } } data.swap(ndata); occupied_flag.swap(nf); cap = ncap; occupied = s; deleted_flag.resize(cap); fill(std::begin(deleted_flag), std::end(deleted_flag), false); } inline bool extend_rate(u32 x) const { return x * 2 >= cap; } inline bool shrink_rate(u32 x) const { return HASHMAP_DEFAULT_SIZE < cap && x * 10 <= cap; } inline void extend() { reallocate(cap << 1); } inline void shrink() { reallocate(cap >> 1); } public: u32 cap, s, occupied; vector data; vector occupied_flag, deleted_flag; u32 shift; static u64 r; static constexpr uint32_t HASHMAP_DEFAULT_SIZE = 4; explicit HashMapBase() : cap(HASHMAP_DEFAULT_SIZE), s(0), occupied(0), data(cap), occupied_flag(cap), deleted_flag(cap), shift(64 - __lg(cap)) {} itr begin() const { u32 h = 0; while (h != cap) { if (occupied_flag[h] && !deleted_flag[h]) break; h++; } return itr(h, this); } itr end() const { return itr(this->cap, this); } friend itr begin(const HashMapBase& h) { return h.begin(); } friend itr end(const HashMapBase& h) { return h.end(); } itr find(const Key& key) const { u32 h = inner_hash(key); while (true) { if (occupied_flag[h] == false) return this->end(); if (data_to_key(data[h]) == key) { if (deleted_flag[h] == true) return this->end(); return itr(h, this); } h = (h + 1) & (cap - 1); } } bool contain(const Key& key) const { return find(key) != this->end(); } itr insert(const Data& d) { u32 h = hash(d); while (true) { if (occupied_flag[h] == false) { if (extend_rate(occupied + 1)) { extend(); h = hash(d); continue; } data[h] = d; occupied_flag[h] = true; ++occupied, ++s; return itr(h, this); } if (data_to_key(data[h]) == data_to_key(d)) { if (deleted_flag[h] == true) { data[h] = d; deleted_flag[h] = false; ++s; } return itr(h, this); } h = (h + 1) & (cap - 1); } } // tips for speed up : // if return value is unnecessary, make argument_2 false. itr erase(itr it, bool get_next = true) { if (it == this->end()) return this->end(); s--; if (!get_next) { this->deleted_flag[it.i] = true; if (shrink_rate(s)) shrink(); return this->end(); } itr nxt = it; nxt++; this->deleted_flag[it.i] = true; if (shrink_rate(s)) { Data d = data[nxt.i]; shrink(); it = find(data_to_key(d)); } return nxt; } itr erase(const Key& key) { return erase(find(key)); } int count(const Key& key) { return find(key) == end() ? 0 : 1; } bool empty() const { return s == 0; } int size() const { return s; } void clear() { fill(std::begin(occupied_flag), std::end(occupied_flag), false); fill(std::begin(deleted_flag), std::end(deleted_flag), false); s = occupied = 0; } void reserve(int n) { if (n <= 0) return; n = 1 << min(23, __lg(n) + 2); if (cap < u32(n)) reallocate(n); } }; template uint64_t HashMapBase::r = chrono::duration_cast( chrono::high_resolution_clock::now().time_since_epoch()) .count(); } // namespace HashMapImpl template struct HashMap : HashMapImpl::HashMapBase> { using base = typename HashMapImpl::HashMapBase>; using HashMapImpl::HashMapBase>::HashMapBase; using Data = pair; Val& operator[](const Key& k) { typename base::u32 h = base::inner_hash(k); while (true) { if (base::occupied_flag[h] == false) { if (base::extend_rate(base::occupied + 1)) { base::extend(); h = base::hash(k); continue; } base::data[h].first = k; base::data[h].second = Val(); base::occupied_flag[h] = true; ++base::occupied, ++base::s; return base::data[h].second; } if (base::data[h].first == k) { if (base::deleted_flag[h] == true) { base::data[h].second = Val(); base::deleted_flag[h] = false; ++base::s; } return base::data[h].second; } h = (h + 1) & (base::cap - 1); } } typename base::itr emplace(const Key& key, const Val& val) { return base::insert(Data(key, val)); } }; void solve() { int N, M, K; cin >> N >> M >> K; vector A(K); for (int i = 0; i < K; ++i) { cin >> A[i]; --A[i]; } vector T(N, vector(N)); for (int i = 0; i < N; ++i) { for (int j = 0; j < N; ++j) { cin >> T[i][j]; } } HashMap, int> memo; auto dfs = [&](auto&& self, int msk, int v) -> int { if (memo.contain({msk, v})) return memo[{msk, v}]; if (popcnt(msk) >= M) return memo[{msk, v}] = 0; int ans = infty; for (int i = 0; i < N; ++i) { if ((msk >> i) & 1) continue; int nmsk = msk | (1 << i); chmin(ans, self(self, nmsk, i) + T[i][v]); } return memo[{msk, v}] = ans; }; int ans = infty; for (int i = 0; i < K; ++i) { int tmp = dfs(dfs, 1 << A[i], A[i]); chmin(ans, tmp); } print(ans); } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); cout << fixed << setprecision(20); CPP_DUMP_SET_OPTION(max_line_width, 80); CPP_DUMP_SET_OPTION(log_label_func, cpp_dump::log_label::filename()); CPP_DUMP_SET_OPTION(enable_asterisk, true); solve(); return 0; }