結果
| 問題 | No.1689 Set Cards |
| ユーザー |
 kyon2326
|
| 提出日時 | 2021-09-24 23:05:09 |
| 言語 | C++17 (gcc 13.2.0 + boost 1.83.0) |
| 結果 |
CE
(最新)
AC
(最初)
|
| 実行時間 | - |
| コード長 | 19,180 bytes |
| コンパイル時間 | 5,496 ms |
| コンパイル使用メモリ | 330,372 KB |
| 最終ジャッジ日時 | 2023-09-18 22:02:18 |
| 合計ジャッジ時間 | 5,859 ms |
|
ジャッジサーバーID （参考情報） |
judge15 / judge12 |
（要ログイン）
コンパイルエラー時のメッセージ・ソースコードは、提出者また管理者しか表示できないようにしております。（リジャッジ後のコンパイルエラーは公開されます）
ただし、clay言語の場合は開発者のデバッグのため、公開されます。
ただし、clay言語の場合は開発者のデバッグのため、公開されます。
コンパイルメッセージ
main.cpp:178:31: 警告: ‘template<class _Category, class _Tp, class _Distance, class _Pointer, class _Reference> struct std::iterator’ is deprecated [-Wdeprecated-declarations]
178 | class iterator : std::iterator<std::forward_iterator_tag, std::tuple<decltype(*std::declval<T>().begin())...>> {
| ^~~~~~~~
次のファイルから読み込み: /usr/local/gcc7/include/c++/12.2.0/bits/stl_algobase.h:65,
次から読み込み: /usr/local/gcc7/include/c++/12.2.0/bits/specfun.h:45,
次から読み込み: /usr/local/gcc7/include/c++/12.2.0/cmath:1935,
次から読み込み: /usr/local/gcc7/include/c++/12.2.0/x86_64-pc-linux-gnu/bits/stdc++.h:41,
次から読み込み: main.cpp:2:
/usr/local/gcc7/include/c++/12.2.0/bits/stl_iterator_base_types.h:127:34: 備考: ここで宣言されています
127 | struct _GLIBCXX17_DEPRECATED iterator
| ^~~~~~~~
main.cpp: In instantiation of ‘void p(const Head&, const Tail& ...) [with Head = atcoder::static_modint_custom<998244353>; Tail = {}]’:
main.cpp:440:3: required from here
main.cpp:137:102: エラー: no match for ‘operator<<’ (operand types are ‘std::ostream’ {aka ‘std::basic_ostream<char>’} and ‘const atcoder::static_modint_custom<998244353>’)
137 | template <typename Head, typename... Tail> void p(const Head& head, const Tail&... tail) { std::cout << head << (sizeof...(tail) ? " " : ""); p(tail...); }
| ~~~~~~~~~~^~~~~~~
次のファイルから読み込み: /usr/local/gcc7/include/c++/12.2.0/istream:39,
次から読み込み: /usr/local/gcc7/include/c++/12.2.0/sstream:38,
次から読み込み: /usr/local/gcc7/include/c++/12.2.0/complex:45,
次から読み込み: /usr/local/gcc7/include/c++/12.2.0/ccomplex:39,
次から読み込み:
ソースコード
#define _USE_MATH_DEFINES
#include <bits/stdc++.h>
#include <bits/extc++.h>
using namespace std;
/*
#include <atcoder/all>
using namespace atcoder;
*/
/*
#include <boost/multiprecision/cpp_int.hpp>
#include <boost/multiprecision/cpp_dec_float.hpp>
using bll = boost::multiprecision::cpp_int;
using bdouble = boost::multiprecision::number<boost::multiprecision::cpp_dec_float<100>>;
using namespace boost::multiprecision;
*/
#if defined(LOCAL_TEST) || defined(LOCAL_DEV)
#define BOOST_STACKTRACE_USE_ADDR2LINE
#define BOOST_STACKTRACE_ADDR2LINE_LOCATION /usr/local/opt/binutils/bin/addr2line
#define _GNU_SOURCE 1
#include <boost/stacktrace.hpp>
#endif
#ifdef LOCAL_TEST
namespace std {
template <typename T> class dvector : public std::vector<T> {
public:
using std::vector<T>::vector;
template <typename T_ = T, typename std::enable_if_t<std::is_same_v<T_, bool>, std::nullptr_t> = nullptr>
std::vector<bool>::reference operator[](std::size_t n) {
if (this->size() <= n) { std::cerr << boost::stacktrace::stacktrace() << '\n' << "vector::_M_range_check: __n (which is " << n << ") >= this->size() (which is " << this->size() << ")" << '\n'; } return this->at(n);
}
template <typename T_ = T, typename std::enable_if_t<std::is_same_v<T_, bool>, std::nullptr_t> = nullptr>
const T_ operator[](std::size_t n) const {
if (this->size() <= n) { std::cerr << boost::stacktrace::stacktrace() << '\n' << "vector::_M_range_check: __n (which is " << n << ") >= this->size() (which is " << this->size() << ")" << '\n'; } return this->at(n);
}
template <typename T_ = T, typename std::enable_if_t<!std::is_same_v<T_, bool>, std::nullptr_t> = nullptr>
T_& operator[](std::size_t n) {
if (this->size() <= n) { std::cerr << boost::stacktrace::stacktrace() << '\n' << "vector::_M_range_check: __n (which is " << n << ") >= this->size() (which is " << this->size() << ")" << '\n'; } return this->at(n);
}
template <typename T_ = T, typename std::enable_if_t<!std::is_same_v<T_, bool>, std::nullptr_t> = nullptr>
const T_& operator[](std::size_t n) const {
if (this->size() <= n) { std::cerr << boost::stacktrace::stacktrace() << '\n' << "vector::_M_range_check: __n (which is " << n << ") >= this->size() (which is " << this->size() << ")" << '\n'; } return this->at(n);
}
};
template <typename T, typename Compare = std::less<T>, typename Allocator = std::allocator<T>> class dmultiset : public std::multiset<T,Compare,Allocator> {
public:
using std::multiset<T,Compare,Allocator>::multiset;
const typename std::multiset<T,Compare,Allocator>::iterator erase(const typename std::multiset<T,Compare,Allocator>::iterator it) {
return std::multiset<T,Compare,Allocator>::erase(it);
}
std::size_t erase([[maybe_unused]] const T& x) {
std::cerr << boost::stacktrace::stacktrace() << '\n'; assert(false);
}
std::size_t erase_all_elements(const T& x) {
return std::multiset<T,Compare,Allocator>::erase(x);
}
};
}
#define vector dvector
#define multiset dmultiset
class SIGFPE_exception : std::exception {};
class SIGSEGV_exception : std::exception {};
void catch_SIGFPE([[maybe_unused]] int e) { std::cerr << boost::stacktrace::stacktrace() << '\n'; throw SIGFPE_exception(); }
void catch_SIGSEGV([[maybe_unused]] int e) { std::cerr << boost::stacktrace::stacktrace() << '\n'; throw SIGSEGV_exception(); }
signed convertedmain();
signed main() { signal(SIGFPE, catch_SIGFPE); signal(SIGSEGV, catch_SIGSEGV); return convertedmain(); }
#define main() convertedmain()
#else
#define erase_all_elements erase
#endif
#ifdef LOCAL_DEV
template <typename T1, typename T2> std::ostream& operator<<(std::ostream& s, const std::pair<T1, T2>& p) {
return s << "(" << p.first << ", " << p.second << ")"; }
template <typename T, std::size_t N> std::ostream& operator<<(std::ostream& s, const std::array<T, N>& a) {
s << "{ "; for (std::size_t i = 0; i < N; ++i){ s << a[i] << "\t"; } s << "}"; return s; }
template <typename T> std::ostream& operator<<(std::ostream& s, const std::set<T>& se) {
s << "{ "; for (auto itr = se.begin(); itr != se.end(); ++itr){ s << (*itr) << "\t"; } s << "}"; return s; }
template <typename T> std::ostream& operator<<(std::ostream& s, const std::multiset<T>& se) {
s << "{ "; for (auto itr = se.begin(); itr != se.end(); ++itr){ s << (*itr) << "\t"; } s << "}"; return s; }
template <typename T1, typename T2> std::ostream& operator<<(std::ostream& s, const std::map<T1, T2>& m) {
s << "{\n"; for (auto itr = m.begin(); itr != m.end(); ++itr){ s << "\t" << (*itr).first << " : " << (*itr).second << "\n"; } s << "}"; return s; }
template <typename T> std::ostream& operator<<(std::ostream& s, const std::deque<T>& v) {
for (std::size_t i = 0; i < v.size(); ++i){ s << v[i]; if (i < v.size() - 1) s << "\t"; } return s; }
template <typename T> std::ostream& operator<<(std::ostream& s, const std::vector<T>& v) {
for (std::size_t i = 0; i < v.size(); ++i){ s << v[i]; if (i < v.size() - 1) s << "\t"; } return s; }
template <typename T> std::ostream& operator<<(std::ostream& s, const std::vector<std::vector<T>>& vv) {
s << "\\\n"; for (std::size_t i = 0; i < vv.size(); ++i){ s << vv[i] << "\n"; } return s; }
template <typename T, std::size_t N, typename std::enable_if_t<!std::is_same_v<T, char>, std::nullptr_t> = nullptr> std::ostream& operator<<(std::ostream& s, const T (&v)[N]) {
for (std::size_t i = 0; i < N; ++i){ s << v[i]; if (i < N - 1) s << "\t"; } return s; }
template <typename T, std::size_t N, std::size_t M, typename std::enable_if_t<!std::is_same_v<T, char>, std::nullptr_t> = nullptr> std::ostream& operator<<(std::ostream& s, const T (&vv)[N][M]) {
s << "\\\n"; for (std::size_t i = 0; i < N; ++i){ s << vv[i] << "\n"; } return s; }
#if __has_include(<ext/pb_ds/assoc_container.hpp>)
template <typename Key, typename Compare> std::ostream& operator<<(std::ostream& s, const __gnu_pbds::tree<Key, __gnu_pbds::null_type, Compare, __gnu_pbds::rb_tree_tag, __gnu_pbds::tree_order_statistics_node_update>& se) {
s << "{ "; for (auto itr = se.begin(); itr != se.end(); ++itr){ s << (*itr) << "\t"; } s << "}"; return s; }
template <typename Key, typename T, typename Hash> std::ostream& operator<<(std::ostream& s, const __gnu_pbds::gp_hash_table<Key, T, Hash>& m) {
s << "{\n"; for (auto itr = m.begin(); itr != m.end(); ++itr){ s << "\t" << (*itr).first << " : " << (*itr).second << "\n"; } s << "}"; return s; }
#endif
void debug_impl() { std::cerr << '\n'; }
template <typename Head, typename... Tail> void debug_impl(const Head& head, const Tail&... tail) { std::cerr << " " << head << (sizeof...(tail) ? "," : ""); debug_impl(tail...); }
#define debug(...) do { std::cerr << ":" << __LINE__ << " (" << #__VA_ARGS__ << ") ="; debug_impl(__VA_ARGS__); } while (false)
constexpr inline long long prodlocal([[maybe_unused]] long long prod, [[maybe_unused]] long long local) { return local; }
#else
#define debug(...) do {} while (false)
constexpr inline long long prodlocal([[maybe_unused]] long long prod, [[maybe_unused]] long long local) { return prod; }
#endif
//#define int long long
//using ll = long long;
using ll = int;
//INT_MAX = (1<<31)-1 = 2147483647, INT64_MAX = (1LL<<63)-1 = 9223372036854775807
constexpr ll INF = std::numeric_limits<ll>::max() == INT_MAX ? (ll)1e9 + 7 : (ll)1e18;
//constexpr ll MOD = (ll)1e9 + 7; //primitive root = 5
constexpr ll MOD = 998244353; //primitive root = 3
constexpr double EPS = 1e-9;
constexpr ll dx[4] = {1, 0, -1, 0};
constexpr ll dy[4] = {0, 1, 0, -1};
constexpr ll dx8[8] = {1, 0, -1, 0, 1, 1, -1, -1};
constexpr ll dy8[8] = {0, 1, 0, -1, 1, -1, 1, -1};
#define repoverload3(_1, _2, _3, name, ...) name
#define rep3(i, a, b) for(ll i=(a), i##_length=(b); i<i##_length; ++i)
#define rep2(i, n) rep3(i, 0, n)
#define rep1(n) rep3(i, 0, n)
#define rep(...) repoverload3(__VA_ARGS__, rep3, rep2, rep1)(__VA_ARGS__)
#define repeq3(i, a, b) rep3(i, (a)+1, (b)+1)
#define repeq2(i, n) rep3(i, 1, (n)+1)
#define repeq1(n) rep3(i, 1, (n)+1)
#define repeq(...) repoverload3(__VA_ARGS__, repeq3, repeq2, repeq1)(__VA_ARGS__)
#define rrep3(i, a, b) for(ll i=(b)-1; i>=(a); --i)
#define rrep2(i, n) rrep3(i, 0, n)
#define rrep1(n) rrep3(i, 0, n)
#define rrep(...) repoverload3(__VA_ARGS__, rrep3, rrep2, rrep1)(__VA_ARGS__)
#define rrepeq3(i, a, b) rrep3(i, (a)+1, (b)+1)
#define rrepeq2(i, n) rrep3(i, 1, (n)+1)
#define rrepeq1(n) rrep3(i, 1, (n)+1)
#define rrepeq(...) repoverload3(__VA_ARGS__, rrepeq3, rrepeq2, rrepeq1)(__VA_ARGS__)
#define all(v) std::begin(v), std::end(v)
#define rall(v) std::rbegin(v), std::rend(v)
void p() { std::cout << '\n'; }
template <typename Head, typename... Tail> void p(const Head& head, const Tail&... tail) { std::cout << head << (sizeof...(tail) ? " " : ""); p(tail...); }
template <typename T> inline void pv(const std::vector<T>& v) { for(ll i=0, N=v.size(); i<N; i++) std::cout << v[i] << " \n"[i==N-1]; }
template <typename T> inline bool chmax(T& a, T b) { return a < b && (a = b, true); }
template <typename T> inline bool chmin(T& a, T b) { return a > b && (a = b, true); }
template <typename T> inline void uniq(std::vector<T>& v) { std::sort(v.begin(), v.end()); v.erase(std::unique(v.begin(), v.end()), v.end()); }
template <typename T> inline ll sz(const T& v) { return std::size(v); }
template <typename T, std::size_t N> std::vector<T> make_vector_impl(std::vector<ll>& sizes, typename std::enable_if<(N==1), const T&>::type x) { return std::vector<T>(sizes.front(),x); }
template <typename T, std::size_t N> auto make_vector_impl(std::vector<ll>& sizes, typename std::enable_if<(N>1), const T&>::type x) { ll size=sizes.back(); sizes.pop_back(); return std::vector<decltype(make_vector_impl<T,N-1>(sizes,x))>(size,make_vector_impl<T,N-1>(sizes,x)); }
template <typename T, std::size_t N> auto make_vector(const ll (&sizes)[N], const T& x=T()) { std::vector<ll> s(N); for(std::size_t i=0; i<N; ++i)s[i]=sizes[N-1-i]; return make_vector_impl<T,N>(s,x); }
#if __has_include(<ext/pb_ds/assoc_container.hpp>)
template <typename Key, typename Mapped, typename Hash = std::hash<Key>, typename std::enable_if_t<std::is_integral_v<Key>, std::nullptr_t> = nullptr> struct fmap : public __gnu_pbds::gp_hash_table<Key, Mapped, Hash> {
using __gnu_pbds::gp_hash_table<Key, Mapped, Hash>::gp_hash_table;
template <typename T> fmap(std::initializer_list<std::initializer_list<T>> il) : __gnu_pbds::gp_hash_table<Key, Mapped, Hash>() {
for (auto&& x : il) __gnu_pbds::gp_hash_table<Key, Mapped, Hash>::insert(std::pair<Key, Mapped>(*x.begin(), *(x.begin() + 1)));
}
template <typename T> ll count(const T& x) const {
return __gnu_pbds::gp_hash_table<Key, Mapped, Hash>::find(x) != __gnu_pbds::gp_hash_table<Key, Mapped, Hash>::end();
}
};
#else
template <typename Key, typename Mapped> using fmap = std::map<Key, Mapped>;
#endif
template <typename T> struct each_hepler {
struct iterator {
ll _pos;
typename T::iterator _it;
iterator(typename T::iterator it): _pos(0), _it(it) {}
std::pair<ll, typename std::iterator_traits<typename T::iterator>::reference> operator*() const { return {_pos, *_it}; }
iterator& operator++() { ++_pos; ++_it; return *this; }
iterator operator++(int) { iterator tmp(*this); ++*this; return tmp; }
bool operator==(iterator const& it) const { return _it == it._it; }
bool operator!=(iterator const& it) const { return !(*this == it); }
};
T& _container;
each_hepler(T& t): _container(t) {}
iterator begin() const { return iterator(_container.begin()); }
iterator end() const { return iterator(_container.end()); }
};
template <typename T> each_hepler<T> each(T& t) { return each_hepler<T>(t); } // for (auto&& [i, val] : each(v))
template <typename... T> class zip_helper {
public:
class iterator : std::iterator<std::forward_iterator_tag, std::tuple<decltype(*std::declval<T>().begin())...>> {
private:
std::tuple<decltype(std::declval<T>().begin())...> iters_;
template <std::size_t... I> auto deref(std::index_sequence<I...>) const { return typename iterator::value_type{*std::get<I>(iters_)...}; }
template <std::size_t... I> void increment(std::index_sequence<I...>) { [[maybe_unused]] auto l = {(++std::get<I>(iters_), 0)...}; }
public:
explicit iterator(decltype(iters_) iters) : iters_{std::move(iters)} {}
iterator& operator++() { increment(std::index_sequence_for<T...>{}); return *this; }
iterator operator++(int) { auto saved{*this}; increment(std::index_sequence_for<T...>{}); return saved; }
bool operator!=(const iterator& other) const { return iters_ != other.iters_; }
auto operator*() const { return deref(std::index_sequence_for<T...>{}); }
};
zip_helper(T&... seqs) : begin_{std::make_tuple(seqs.begin()...)}, end_{std::make_tuple(seqs.end()...)} {}
iterator begin() const { return begin_; }
iterator end() const { return end_; }
private:
iterator begin_, end_;
};
template <typename... T> auto zip(T&&... seqs) { return zip_helper<T...>{seqs...}; } // for (auto&& [a, b, c] : zip(A, B, C))
/*-----8<-----template-----8<-----*/
//[lib]modint.cpp
#include <atcoder/modint>
constexpr int ModintConstexprSize = prodlocal(20000, 10);
template <int N = ModintConstexprSize>
struct ModintConstexpr {
unsigned int inv[N + 1];
constexpr inline long long modpow(long long a, long long n) {
long long res = 1;
while (n) {
if (n & 1) res = res * a % MOD;
a = a * a % MOD;
n >>= 1;
}
return res;
}
constexpr ModintConstexpr() : inv() {
inv[1] = 1;
for (int i = 2; i <= N; ++i) inv[i] = modpow(i, MOD - 2);
}
};
#ifdef __INTELLISENSE__
#pragma diag_suppress 28
#endif
constexpr auto modintconstexpr = ModintConstexpr<>();
namespace atcoder {
template <int m, std::enable_if_t<(1 <= m)>* = nullptr>
struct static_modint_custom : internal::static_modint_base {
using mint = static_modint_custom;
#if __has_include(<ext/pb_ds/assoc_container.hpp>)
using inv_cache_type = __gnu_pbds::gp_hash_table<unsigned int, unsigned int>;
#else
using inv_cache_type = map<unsigned int, unsigned int>;
#endif
static inv_cache_type& inv_cache() {
static inv_cache_type inv_cache;
return inv_cache;
}
public:
static constexpr int mod() {
return m;
}
static mint raw(int v) {
mint x;
x._v = v;
return x;
}
static_modint_custom() : _v(0) {}
template <class T, internal::is_signed_int_t<T>* = nullptr>
static_modint_custom(T v) {
long long x = (long long)(v % (long long)(umod()));
if (x < 0) x += umod();
_v = (unsigned int)(x);
}
template <class T, internal::is_unsigned_int_t<T>* = nullptr>
static_modint_custom(T v) {
_v = (unsigned int)(v % umod());
}
unsigned int val() const {
return _v;
}
mint& operator++() {
_v++;
if (_v == umod()) _v = 0;
return *this;
}
mint& operator--() {
if (_v == 0) _v = umod();
_v--;
return *this;
}
mint operator++(int) {
mint result = *this;
++*this;
return result;
}
mint operator--(int) {
mint result = *this;
--*this;
return result;
}
mint& operator+=(const mint& rhs) {
_v += rhs._v;
if (_v >= umod()) _v -= umod();
return *this;
}
mint& operator-=(const mint& rhs) {
_v -= rhs._v;
if (_v >= umod()) _v += umod();
return *this;
}
mint& operator*=(const mint& rhs) {
unsigned long long z = _v;
z *= rhs._v;
_v = (unsigned int)(z % umod());
return *this;
}
mint& operator/=(const mint& rhs) {
return *this = *this * rhs.inv();
}
mint operator+() const {
return *this;
}
mint operator-() const {
return mint() - *this;
}
mint pow(long long n) const {
mint x = *this, r = 1;
if (n < 0) {
x = inv(), n = -n;
}
while (n) {
if (n & 1) r *= x;
x *= x;
n >>= 1;
}
return r;
}
mint inv() const {
if (umod() == MOD && _v <= ModintConstexprSize) return raw(modintconstexpr.inv[_v]);
auto& cachemap = inv_cache();
unsigned int cached = cachemap[_v];
if (cached) return raw(cached);
mint x = inv_calc();
cachemap[_v] = x._v;
return x;
}
mint inv_calc() const {
if (prime) {
assert(_v);
return pow(umod() - 2);
} else {
auto eg = internal::inv_gcd(_v, m);
assert(eg.first == 1);
return eg.second;
}
}
friend mint operator+(const mint& lhs, const mint& rhs) {
return mint(lhs) += rhs;
}
friend mint operator-(const mint& lhs, const mint& rhs) {
return mint(lhs) -= rhs;
}
friend mint operator*(const mint& lhs, const mint& rhs) {
return mint(lhs) *= rhs;
}
friend mint operator/(const mint& lhs, const mint& rhs) {
return mint(lhs) /= rhs;
}
friend bool operator==(const mint& lhs, const mint& rhs) {
return lhs._v == rhs._v;
}
friend bool operator!=(const mint& lhs, const mint& rhs) {
return lhs._v != rhs._v;
}
friend bool operator<(const mint& lhs, const mint& rhs) {
return lhs._v < rhs._v;
}
private:
unsigned int _v;
static constexpr unsigned int umod() {
return m;
}
static constexpr bool prime = internal::is_prime<m>;
};
} // namespace atcoder
using Modint = atcoder::static_modint_custom<MOD>;
std::istream& operator>>(std::istream& is, Modint& x){ ll a; is>>a; x = a; return is; }
std::ostream& operator<<(std::ostream& os, const Modint& x){ return os << x.val(); }
inline Modint operator""_M(unsigned long long x) noexcept { return Modint(x); }
std::vector<Modint> fac_vec(1, 1), inv_vec(1, 1);
inline void reserve_fac_vec(size_t a){
if(fac_vec.size() >= a) return;
if(a < fac_vec.size() * 2) a = fac_vec.size() * 2;
if(a >= (size_t)Modint::mod()) a = Modint::mod();
fac_vec.reserve(a);
while(fac_vec.size() < a) fac_vec.push_back(fac_vec.back() * Modint(fac_vec.size()));
inv_vec.resize(fac_vec.size());
inv_vec.back() = fac_vec.back().inv();
for(ll i = inv_vec.size() - 1; !inv_vec[i - 1].val(); i--) inv_vec[i - 1] = inv_vec[i] * i;
}
inline Modint factorial(ll n){ if(n < 0) return 0; reserve_fac_vec(n + 1); return fac_vec[n]; }
inline Modint nPk(ll n, ll r){
if(r < 0 || n < r) return 0;
if(n >> 24){ Modint ans = 1; for(ll i = 0; i < r; i++) ans *= n--; return ans; }
reserve_fac_vec(n + 1); return fac_vec[n] * inv_vec[n - r];
}
inline Modint nCk(ll n, ll r){ if(r < 0 || n < r) return 0; r = min(r, n - r); reserve_fac_vec(r + 1); return inv_vec[r] * nPk(n, r); }
inline Modint nHk(ll n, ll r){ return nCk(n + r - 1, n - 1); } //n種類のものから重複を許してr個選ぶ=玉r個と仕切りn-1個
inline Modint catalan(ll n){ reserve_fac_vec(n * 2 + 1); return fac_vec[n * 2] * inv_vec[n] * inv_vec[n + 1]; }
/*-----8<-----library-----8<-----*/
void solve() {
ll N;
cin>>N;
vector<ll> K(N);
vector<ll> a(N);
rep(i,N){
cin >> K[i];
rep(_,K[i]){
ll t;
cin >> t;
t--;
a[i] |= 1LL << t;
}
}
vector<Modint> dp(1LL << 12);
ll size = 12;
dp[0] = Modint(2).pow(N) - 1;
repeq(bit, (1LL << size)-1) {
ll t = 0;
rep(i,N){
if((a[i] & bit) == bit){
t++;
}
}
dp[bit] = Modint(2).pow(t) - 1;
}
Modint ans = 0;
rep(i,1LL<<size){
if (__builtin_popcountll(i) & 1) ans -= dp[i];
else
ans += dp[i];
}
debug(dp);
p(ans);
}
signed main() {
#ifndef LOCAL_DEV
std::cin.tie(nullptr);
std::ios::sync_with_stdio(false);
#endif
//ll Q; cin >> Q; while(Q--)solve();
solve();
return 0;
}