#904304 (C++17) No.2435 Order All Company

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問題	No.2435 Order All Company
コンテスト
ユーザー	ebi_fly
提出日時	2023-08-16 10:55:15
言語	C++17 (gcc 13.3.0 + boost 1.87.0)
結果	AC
実行時間	17 ms / 2,000 ms
コード長	12,506 bytes
コンパイル時間	1,582 ms
コンパイル使用メモリ	150,764 KB
最終ジャッジ日時	2025-02-16 08:44:27
ジャッジサーバーID （参考情報）	judge5 / judge3
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ファイルパターン	結果
other	AC * 36
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ソースコード

raw source code
#line 2 "graph/template.hpp"

#include <vector>

namespace ebi {

template <class T> struct Edge {
    int to;
    T cost;
    Edge(int _to, T _cost = 1) : to(_to), cost(_cost) {}
};

template <class T> struct Graph : std::vector<std::vector<Edge<T>>> {
    using std::vector<std::vector<Edge<T>>>::vector;
    void add_edge(int u, int v, T w, bool directed = false) {
        (*this)[u].emplace_back(v, w);
        if (directed) return;
        (*this)[v].emplace_back(u, w);
    }
};

struct graph : std::vector<std::vector<int>> {
    using std::vector<std::vector<int>>::vector;
    void add_edge(int u, int v, bool directed = false) {
        (*this)[u].emplace_back(v);
        if (directed) return;
        (*this)[v].emplace_back(u);
    }
};

}  // namespace ebi
#line 2 "matrix/square_matrix.hpp"

#line 4 "matrix/square_matrix.hpp"

namespace ebi {

template <class Field, int id> struct square_matrix {
  private:
    using Self = square_matrix<Field, id>;

  public:
    square_matrix(Field val = 0)
        : mat(std::vector(N, std::vector<Field>(N, val))) {}

    Self operator+(Self &rhs) const noexcept {
        return Self(*this) += rhs;
    }

    Self operator-(Self &rhs) const noexcept {
        return Self(*this) -= rhs;
    }

    Self operator*(Self &rhs) const noexcept {
        return Self(*this) *= rhs;
    }

    Self &operator+=(Self &rhs) noexcept {
        for (int i = 0; i < N; ++i) {
            for (int j = 0; j < N; ++j) {
                mat[i][j] += rhs[i][j];
            }
        }
        return *this;
    }

    Self &operator-=(Self &rhs) noexcept {
        for (int i = 0; i < N; ++i) {
            for (int j = 0; j < N; ++j) {
                mat[i][j] -= rhs[i][j];
            }
        }
        return *this;
    }

    Self &operator*=(Self &rhs) noexcept {
        Self ret;
        for (int i = 0; i < N; ++i) {
            for (int j = 0; j < N; ++j) {
                for (int k = 0; k < N; ++k) {
                    ret[i][j] += mat[i][k] * rhs[k][j];
                }
            }
        }
        return *this = ret;
    }

    Self pow(long long n) const {
        Self res;
        for (int i = 0; i < N; ++i) {
            res[i][i] = 1;
        }
        Self x = *this;
        while (n > 0) {
            if (n & 1) res *= x;
            x *= x;
            n >>= 1;
        }
        return res;
    }

    Field det() const {
        Self res = *this;
        Field d = 1;
        for (int i = 0; i < N; ++i) {
            if (res[i][i] == 0) {
                int flag = -1;
                for (int j = i + 1; j < N; ++j) {
                    if (res[j][i] != 0) {
                        flag = j;
                        break;
                    }
                }
                if (flag < 0) {
                    return 0;
                }
                std::swap(res[i], res[flag]);
                d = -d;
            }
            Field inv = res[i][i].inv();
            for (int j = i + 1; j < N; ++j) {
                Field fac = res[j][i] * inv;
                for (int k = i; k < N; ++k) {
                    res[j][k] -= fac * res[i][k];
                }
            }
            d *= res[i][i];
        }
        return d;
    }

    static Self identity() {
        Self res;
        for (int i = 0; i < N; ++i) {
            res[i][i] = 1;
        }
        return res;
    }

    std::vector<Field> &operator[](int i) {
        return mat[i];
    }

    static void set_size(int n) {
        N = n;
    }

  private:
    std::vector<std::vector<Field>> mat;
    static int N;
};

template <class Field, int id> int square_matrix<Field, id>::N = 0;

}  // namespace ebi
#line 1 "template/template.hpp"
#include <algorithm>
#include <bitset>
#include <cassert>
#include <chrono>
#include <climits>
#include <cmath>
#include <complex>
#include <cstddef>
#include <cstdint>
#include <cstdlib>
#include <cstring>
#include <functional>
#include <iomanip>
#include <iostream>
#include <limits>
#include <map>
#include <memory>
#include <numeric>
#include <optional>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <string>
#include <tuple>
#include <type_traits>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#line 31 "template/template.hpp"

#define rep(i, a, n) for (int i = (int)(a); i < (int)(n); i++)
#define rrep(i, a, n) for (int i = ((int)(n)-1); i >= (int)(a); i--)
#define Rep(i, a, n) for (i64 i = (i64)(a); i < (i64)(n); i++)
#define RRep(i, a, n) for (i64 i = ((i64)(n)-i64(1)); i >= (i64)(a); i--)
#define all(v) (v).begin(), (v).end()
#define rall(v) (v).rbegin(), (v).rend()

#line 2 "template/debug_template.hpp"

#line 4 "template/debug_template.hpp"

namespace ebi {

#ifdef LOCAL
#define debug(...)                                                      \
    std::cerr << "LINE: " << __LINE__ << "  [" << #__VA_ARGS__ << "]:", \
        debug_out(__VA_ARGS__)
#else
#define debug(...)
#endif

void debug_out() {
    std::cerr << std::endl;
}

template <typename Head, typename... Tail> void debug_out(Head h, Tail... t) {
    std::cerr << " " << h;
    if (sizeof...(t) > 0) std::cerr << " :";
    debug_out(t...);
}

}
#line 2 "template/int_alias.hpp"

#line 4 "template/int_alias.hpp"

namespace ebi {

using std::size_t;
using i8 = std::int8_t;
using u8 = std::uint8_t;
using i16 = std::int16_t;
using u16 = std::uint16_t;
using i32 = std::int32_t;
using u32 = std::uint32_t;
using i64 = std::int64_t;
using u64 = std::uint64_t;
using i128 = __int128_t;
using u128 = __uint128_t;

}
#line 2 "template/io.hpp"

#line 6 "template/io.hpp"

namespace ebi {

template <typename T1, typename T2>
std::ostream &operator<<(std::ostream &os, const std::pair<T1, T2> &pa) {
    return os << pa.first << " " << pa.second;
}

template <typename T1, typename T2>
std::istream &operator>>(std::istream &os, std::pair<T1, T2> &pa) {
    return os >> pa.first >> pa.second;
}

template <typename T>
std::ostream &operator<<(std::ostream &os, const std::vector<T> &vec) {
    for (std::size_t i = 0; i < vec.size(); i++)
        os << vec[i] << (i + 1 == vec.size() ? "" : " ");
    return os;
}

template <typename T>
std::istream &operator>>(std::istream &os, std::vector<T> &vec) {
    for (T &e : vec) std::cin >> e;
    return os;
}

template <typename T>
std::ostream &operator<<(std::ostream &os, const std::optional<T> &opt) {
    if (opt) {
        os << opt.value();
    } else {
        os << "invalid value";
    }
    return os;
}

void fast_io() {
    std::cout << std::fixed << std::setprecision(15);
    std::cin.tie(nullptr);
    std::ios::sync_with_stdio(false);
}

}  // namespace ebi
#line 2 "template/utility.hpp"

#line 5 "template/utility.hpp"

#line 7 "template/utility.hpp"

namespace ebi {

template <class T> inline bool chmin(T &a, T b) {
    if (a > b) {
        a = b;
        return true;
    }
    return false;
}

template <class T> inline bool chmax(T &a, T b) {
    if (a < b) {
        a = b;
        return true;
    }
    return false;
}

constexpr i64 LNF = std::numeric_limits<i64>::max() / 4;

constexpr int INF = std::numeric_limits<int>::max() / 2;

const std::vector<int> dy = {1, 0, -1, 0, 1, 1, -1, -1};
const std::vector<int> dx = {0, 1, 0, -1, 1, -1, 1, -1};

}  // namespace ebi
#line 2 "utility/modint.hpp"

#line 6 "utility/modint.hpp"

#line 2 "utility/modint_base.hpp"

#line 4 "utility/modint_base.hpp"

namespace ebi {

namespace internal {

struct modint_base {};

template <class T> using is_modint = std::is_base_of<modint_base, T>;
template <class T> using is_modint_t = std::enable_if_t<is_modint<T>::value>;

struct static_modint_base : modint_base {};

template <class T>
using is_static_modint = std::is_base_of<internal::static_modint_base, T>;

template <class T>
using is_static_modint_t = std::enable_if_t<is_static_modint<T>::value>;

}  // namespace internal

}  // namespace ebi
#line 8 "utility/modint.hpp"

namespace ebi {

template <int m> struct static_modint : internal::static_modint_base {
  private:
    using modint = static_modint;

  public:
    static constexpr int mod() {
        return m;
    }

    static constexpr modint raw(int v) {
        modint x;
        x._v = v;
        return x;
    }

    constexpr static_modint() : _v(0) {}

    constexpr static_modint(long long v) {
        v %= (long long)umod();
        if (v < 0) v += (long long)umod();
        _v = (unsigned int)v;
    }

    constexpr unsigned int val() const {
        return _v;
    }

    constexpr unsigned int value() const {
        return val();
    }

    constexpr modint &operator++() {
        _v++;
        if (_v == umod()) _v = 0;
        return *this;
    }
    constexpr modint &operator--() {
        if (_v == 0) _v = umod();
        _v--;
        return *this;
    }

    constexpr modint operator++(int) {
        modint res = *this;
        ++*this;
        return res;
    }
    constexpr modint operator--(int) {
        modint res = *this;
        --*this;
        return res;
    }

    constexpr modint &operator+=(const modint &rhs) {
        _v += rhs._v;
        if (_v >= umod()) _v -= umod();
        return *this;
    }
    constexpr modint &operator-=(const modint &rhs) {
        _v -= rhs._v;
        if (_v >= umod()) _v += umod();
        return *this;
    }
    constexpr modint &operator*=(const modint &rhs) {
        unsigned long long x = _v;
        x *= rhs._v;
        _v = (unsigned int)(x % (unsigned long long)umod());
        return *this;
    }
    constexpr modint &operator/=(const modint &rhs) {
        return *this = *this * rhs.inv();
    }

    constexpr modint operator+() const {
        return *this;
    }
    constexpr modint operator-() const {
        return modint() - *this;
    }

    constexpr modint pow(long long n) const {
        assert(0 <= n);
        modint x = *this, res = 1;
        while (n) {
            if (n & 1) res *= x;
            x *= x;
            n >>= 1;
        }
        return res;
    }
    constexpr modint inv() const {
        assert(_v);
        return pow(umod() - 2);
    }

    friend modint operator+(const modint &lhs, const modint &rhs) {
        return modint(lhs) += rhs;
    }
    friend modint operator-(const modint &lhs, const modint &rhs) {
        return modint(lhs) -= rhs;
    }
    friend modint operator*(const modint &lhs, const modint &rhs) {
        return modint(lhs) *= rhs;
    }

    friend modint operator/(const modint &lhs, const modint &rhs) {
        return modint(lhs) /= rhs;
    }
    friend bool operator==(const modint &lhs, const modint &rhs) {
        return lhs.val() == rhs.val();
    }
    friend bool operator!=(const modint &lhs, const modint &rhs) {
        return !(lhs == rhs);
    }

  private:
    unsigned int _v = 0;

    static constexpr unsigned int umod() {
        return m;
    }
};

template <int m>
std::istream &operator>>(std::istream &os, static_modint<m> &a) {
    long long x;
    os >> x;
    a = x;
    return os;
}
template <int m>
std::ostream &operator<<(std::ostream &os, const static_modint<m> &a) {
    return os << a.val();
}

using modint998244353 = static_modint<998244353>;
using modint1000000007 = static_modint<1000000007>;

}  // namespace ebi
#line 5 "a.cpp"

namespace ebi {

using mint = modint998244353;
using Matrix = square_matrix<mint, 0>;

void main_() {
    int n, k;
    std::cin >> n >> k;
    Matrix::set_size(n - 1);
    std::vector cs(k, std::vector<std::pair<int, int>>());
    rep(i, 0, k) {
        int t;
        std::cin >> t;
        cs[i].resize(t);
        for (auto &[a, b] : cs[i]) {
            std::cin >> a >> b;
            a--;
            b--;
        }
    }
    std::vector<Matrix> s(k);
    rep(i, 0, k) {
        for (auto [a, b] : cs[i]) {
            if (a < n - 1) s[i][a][a]++;
            if (b < n - 1) s[i][b][b]++;
            if (a < n - 1 && b < n - 1) {
                s[i][a][b]--;
                s[i][b][a]--;
            }
        }
    }
    mint ans = 0;
    rep(bit, 0, 1 << k) {
        Matrix a;
        int cnt = 0;
        rep(i, 0, k) {
            if ((bit >> i) & 1) {
                a += s[i];
            } else
                cnt++;
        }
        if (cnt % 2 == 0) {
            ans += a.det();
        } else {
            ans -= a.det();
        }
    }
    std::cout << ans << '\n';
}

}  // namespace ebi

int main() {
    ebi::fast_io();
    int t = 1;
    // std::cin >> t;
    while (t--) {
        ebi::main_();
    }
    return 0;
}
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