結果

問題 No.2507 Yet Another Subgraph Counting
ユーザー torisasami4torisasami4
提出日時 2023-10-12 11:30:43
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
WA  
実行時間 -
コード長 9,041 bytes
コンパイル時間 3,496 ms
コンパイル使用メモリ 245,936 KB
実行使用メモリ 5,376 KB
最終ジャッジ日時 2024-09-14 10:23:06
合計ジャッジ時間 8,067 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge2
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 2 ms
5,248 KB
testcase_01 AC 2 ms
5,248 KB
testcase_02 AC 2 ms
5,376 KB
testcase_03 AC 2 ms
5,376 KB
testcase_04 AC 2 ms
5,376 KB
testcase_05 AC 10 ms
5,376 KB
testcase_06 AC 2 ms
5,376 KB
testcase_07 AC 2 ms
5,376 KB
testcase_08 AC 2 ms
5,376 KB
testcase_09 AC 2 ms
5,376 KB
testcase_10 AC 2 ms
5,376 KB
testcase_11 AC 9 ms
5,376 KB
testcase_12 AC 3 ms
5,376 KB
testcase_13 AC 2 ms
5,376 KB
testcase_14 AC 9 ms
5,376 KB
testcase_15 AC 2 ms
5,376 KB
testcase_16 AC 2 ms
5,376 KB
testcase_17 AC 10 ms
5,376 KB
testcase_18 AC 2 ms
5,376 KB
testcase_19 AC 4 ms
5,376 KB
testcase_20 AC 2 ms
5,376 KB
testcase_21 AC 2 ms
5,376 KB
testcase_22 AC 2 ms
5,376 KB
testcase_23 AC 9 ms
5,376 KB
testcase_24 AC 3 ms
5,376 KB
testcase_25 AC 25 ms
5,376 KB
testcase_26 WA -
testcase_27 AC 10 ms
5,376 KB
testcase_28 AC 25 ms
5,376 KB
testcase_29 AC 3 ms
5,376 KB
testcase_30 WA -
testcase_31 AC 220 ms
5,376 KB
testcase_32 AC 220 ms
5,376 KB
testcase_33 AC 10 ms
5,376 KB
testcase_34 AC 4 ms
5,376 KB
testcase_35 AC 9 ms
5,376 KB
testcase_36 AC 3 ms
5,376 KB
testcase_37 WA -
testcase_38 WA -
testcase_39 AC 220 ms
5,376 KB
testcase_40 WA -
testcase_41 WA -
testcase_42 WA -
testcase_43 AC 70 ms
5,376 KB
testcase_44 AC 219 ms
5,376 KB
testcase_45 AC 9 ms
5,376 KB
testcase_46 AC 10 ms
5,376 KB
testcase_47 AC 217 ms
5,376 KB
testcase_48 AC 3 ms
5,376 KB
testcase_49 WA -
testcase_50 AC 5 ms
5,376 KB
testcase_51 AC 71 ms
5,376 KB
権限があれば一括ダウンロードができます

ソースコード

diff # 

// #define _GLIBCXX_DEBUG
#pragma GCC optimize("O2,no-stack-protector,unroll-loops,fast-math")
#include <bits/stdc++.h>
using namespace std;
#define rep(i, n) for (int i = 0; i < int(n); i++)
#define per(i, n) for (int i = (n)-1; 0 <= i; i--)
#define rep2(i, l, r) for (int i = (l); i < int(r); i++)
#define per2(i, l, r) for (int i = (r)-1; int(l) <= i; i--)
#define each(e, v) for (auto& e : v)
#define MM << " " <<
#define pb push_back
#define eb emplace_back
#define all(x) begin(x), end(x)
#define rall(x) rbegin(x), rend(x)
#define sz(x) (int)x.size()
template <typename T> void print(const vector<T>& v, T x = 0) {
    int n = v.size();
    for (int i = 0; i < n; i++) cout << v[i] + x << (i == n - 1 ? '\n' : ' ');
    if (v.empty()) cout << '\n';
}
using ll = long long;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
template <typename T> bool chmax(T& x, const T& y) {
    return (x < y) ? (x = y, true) : false;
}
template <typename T> bool chmin(T& x, const T& y) {
    return (x > y) ? (x = y, true) : false;
}
template <class T>
using minheap = std::priority_queue<T, std::vector<T>, std::greater<T>>;
template <class T> using maxheap = std::priority_queue<T>;
template <typename T> int lb(const vector<T>& v, T x) {
    return lower_bound(begin(v), end(v), x) - begin(v);
}
template <typename T> int ub(const vector<T>& v, T x) {
    return upper_bound(begin(v), end(v), x) - begin(v);
}
template <typename T> void rearrange(vector<T>& v) {
    sort(begin(v), end(v));
    v.erase(unique(begin(v), end(v)), end(v));
}

// __int128_t gcd(__int128_t a, __int128_t b) {
//     if (a == 0)
//         return b;
//     if (b == 0)
//         return a;
//     __int128_t cnt = a % b;
//     while (cnt != 0) {
//         a = b;
//         b = cnt;
//         cnt = a % b;
//     }
//     return b;
// }

struct Union_Find_Tree {
    vector<int> data;
    const int n;
    int cnt;
 
    Union_Find_Tree(int n) : data(n, -1), n(n), cnt(n) {}
 
    int root(int x) {
        if (data[x] < 0) return x;
        return data[x] = root(data[x]);
    }
 
    int operator[](int i) { return root(i); }
 
    bool unite(int x, int y) {
        x = root(x), y = root(y);
        if (x == y) return false;
        if (data[x] > data[y]) swap(x, y);
        data[x] += data[y], data[y] = x;
        cnt--;
        return true;
    }
 
    int size(int x) { return -data[root(x)]; }
 
    int count() { return cnt; };
 
    bool same(int x, int y) { return root(x) == root(y); }
 
    void clear() {
        cnt = n;
        fill(begin(data), end(data), -1);
    }
};

template <int mod> struct Mod_Int {
    int x;

    Mod_Int() : x(0) {}

    Mod_Int(long long y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {}

    static int get_mod() { return mod; }

    Mod_Int& operator+=(const Mod_Int& p) {
        if ((x += p.x) >= mod) x -= mod;
        return *this;
    }

    Mod_Int& operator-=(const Mod_Int& p) {
        if ((x += mod - p.x) >= mod) x -= mod;
        return *this;
    }

    Mod_Int& operator*=(const Mod_Int& p) {
        x = (int)(1LL * x * p.x % mod);
        return *this;
    }

    Mod_Int& operator/=(const Mod_Int& p) {
        *this *= p.inverse();
        return *this;
    }

    Mod_Int& operator++() { return *this += Mod_Int(1); }

    Mod_Int operator++(int) {
        Mod_Int tmp = *this;
        ++*this;
        return tmp;
    }

    Mod_Int& operator--() { return *this -= Mod_Int(1); }

    Mod_Int operator--(int) {
        Mod_Int tmp = *this;
        --*this;
        return tmp;
    }

    Mod_Int operator-() const { return Mod_Int(-x); }

    Mod_Int operator+(const Mod_Int& p) const { return Mod_Int(*this) += p; }

    Mod_Int operator-(const Mod_Int& p) const { return Mod_Int(*this) -= p; }

    Mod_Int operator*(const Mod_Int& p) const { return Mod_Int(*this) *= p; }

    Mod_Int operator/(const Mod_Int& p) const { return Mod_Int(*this) /= p; }

    bool operator==(const Mod_Int& p) const { return x == p.x; }

    bool operator!=(const Mod_Int& p) const { return x != p.x; }

    Mod_Int inverse() const {
        assert(*this != Mod_Int(0));
        return pow(mod - 2);
    }

    Mod_Int pow(long long k) const {
        Mod_Int now = *this, ret = 1;
        for (; k > 0; k >>= 1, now *= now) {
            if (k & 1) ret *= now;
        }
        return ret;
    }

    friend ostream& operator<<(ostream& os, const Mod_Int& p) {
        return os << p.x;
    }

    friend istream& operator>>(istream& is, Mod_Int& p) {
        long long a;
        is >> a;
        p = Mod_Int<mod>(a);
        return is;
    }
};

ll mpow2(ll x, ll n, ll mod) {
    ll ans = 1;
    x %= mod;
    while (n != 0) {
        if (n & 1) ans = ans * x % mod;
        x = x * x % mod;
        n = n >> 1;
    }
    ans %= mod;
    return ans;
}

template <typename T> T modinv(T a, const T& m) {
    T b = m, u = 1, v = 0;
    while (b > 0) {
        T t = a / b;
        swap(a -= t * b, b);
        swap(u -= t * v, v);
    }
    return u >= 0 ? u % m : (m - (-u) % m) % m;
}

ll divide_int(ll a, ll b) {
    if (b < 0) a = -a, b = -b;
    return (a >= 0 ? a / b : (a - b + 1) / b);
}

// const int MOD = 1000000007;
const int MOD = 998244353;
using mint = Mod_Int<MOD>;

// ----- library -------
template <typename T>
void fast_zeta_transform(vector<T> &a, bool upper) {
    int n = a.size();
    assert((n & (n - 1)) == 0);
    for (int i = 1; i < n; i <<= 1) {
        for (int j = 0; j < n; j++) {
            if (!(j & i)) {
                if (upper) {
                    a[j] += a[j | i];
                } else {
                    a[j | i] += a[j];
                }
            }
        }
    }
}

template <typename T>
void fast_mobius_transform(vector<T> &a, bool upper) {
    int n = a.size();
    assert((n & (n - 1)) == 0);
    for (int i = 1; i < n; i <<= 1) {
        for (int j = 0; j < n; j++) {
            if (!(j & i)) {
                if (upper) {
                    a[j] -= a[j | i];
                } else {
                    a[j | i] -= a[j];
                }
            }
        }
    }
}

template <typename T>
vector<T> subset_convolve(const vector<T> &a, const vector<T> &b) {
    int n = a.size();
    assert((int)b.size() == n && (n & (n - 1)) == 0);
    int k = __builtin_ctz(n);
    vector<vector<T>> A(k + 1, vector<T>(n, 0)), B(k + 1, vector<T>(n, 0)), C(k + 1, vector<T>(n, 0));
    for (int i = 0; i < n; i++) {
        int t = __builtin_popcount(i);
        A[t][i] = a[i], B[t][i] = b[i];
    }
    for (int i = 0; i <= k; i++) fast_zeta_transform(A[i], false), fast_zeta_transform(B[i], false);
    for (int i = 0; i <= k; i++) {
        for (int j = 0; j <= k - i; j++) {
            for (int l = 0; l < n; l++) C[i + j][l] += A[i][l] * B[j][l];
        }
    }
    for (int i = 0; i <= k; i++) fast_mobius_transform(C[i], false);
    vector<T> c(n);
    for (int i = 0; i < n; i++) c[i] = C[__builtin_popcount(i)][i];
    return c;
}

template <typename T>
vector<T> exp_of_set_power_series(const vector<T> &a) {
    int n = a.size();
    assert((n & (n - 1)) == 0 && a[0] == 0);
    vector<T> ret(n, 0);
    ret[0] = 1;
    for (int i = 1; i < n; i <<= 1) {
        vector<T> f(begin(a) + i, begin(a) + (i << 1));
        vector<T> g(begin(ret), begin(ret) + i);
        auto h = subset_convolve(f, g);
        copy(begin(h), end(h), begin(ret) + i);
    }
    return ret;
}
// ----- library -------

int main() {
    ios::sync_with_stdio(false);
    std::cin.tie(nullptr);
    cout << fixed << setprecision(15);

    int n, m;
    cin >> n >> m;
    vector<vector<int>> g(n, vector<int>(n, 0));
    rep(i, m) {
        int u, v;
        cin >> u >> v;
        u--, v--;
        g[u][v] = 1, g[v][u] = 1;
    }
    vector<vector<mint>> dp(1 << n, vector<mint>(n, 0));
    rep(i, n) dp[1 << i][i] = 1;
    rep2(i, 1, 1 << n) {
        int s = __builtin_ctz(i);
        rep(j, n) rep2(k, s + 1, n) if (!(i & (1 << k)) && g[j][k]) dp[i | (1 << k)][k] += dp[i][j];
    }
    vector<mint> c(1 << n);
    rep2(i, 1, 1 << n) {
        int k = __builtin_popcount(i);
        if (k == 1) {
            c[i] = 1;
            continue;
        }
        if (k == 2) {
            c[i] = 0;
            continue;
        }
        c[i] = 0;
        int s = __builtin_ctz(i);
        rep(j, n) c[i] += dp[i][j] * g[s][j];
        c[i] /= 2;
    }
    vector<mint> E(1 << n, 0);
    rep(i, 1 << n) rep(j, n) rep2(k, j + 1, n) if ((i & (1 << j)) && (i & (1 << k))) E[i] += g[j][k];
    vector<mint> f(1 << n, 0);
    rep2(C, 1, 1 << n) {
        int m = 1;
        while (m <= C) m *= 2;
        int D = (m - 1) & ~C;
        vector<mint> g;
        for (int T = D;; T = (T - 1) & D) {
            g.eb(f[T] * (E[T | C] - E[T] - E[C]));
            if (T == 0)
                break;
        }
        reverse(all(g));
        auto h = exp_of_set_power_series(g);
        f[C] += c[C];
        for (int T = D, idx = sz(h) - 1; idx > 0; T = (T - 1) & D, idx--) f[C | T] += c[C] * h[idx];
    }
    cout << exp_of_set_power_series(f).back() << endl;
}
0