test/yosupo/bitwise_and_convolution.test.cpp

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Last update: 2024-01-08 17:31:43+09:00
Problem: https://judge.yosupo.jp/problem/bitwise_and_convolution

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Code

#define PROBLEM "https://judge.yosupo.jp/problem/bitwise_and_convolution"

#include <bits/stdc++.h>

#include "../../math/modint.hpp"
#include "../../math/set/and_or_convolution.hpp"
using namespace std;
using ll = long long;

using mint = Modint<998244353>;

int main() {
    int N;
    cin >> N;
    vector<mint> a(1 << N), b(1 << N);
    for (auto& x : a) cin >> x;
    for (auto& x : b) cin >> x;
    auto c = and_convolution(a, b);
    for (int i = 0; i < (1 << N); ++i)
        cout << c[i] << (i < (1 << N) - 1 ? " " : "\n");
}

#line 1 "test/yosupo/bitwise_and_convolution.test.cpp"
#define PROBLEM "https://judge.yosupo.jp/problem/bitwise_and_convolution"

#include <bits/stdc++.h>

#line 4 "math/modint.hpp"

/**
 * @brief Mod int
 */
template <int m>
class Modint {
    using mint = Modint;
    static_assert(m > 0, "Modulus must be positive");

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

    constexpr Modint(long long y = 0) : x(y >= 0 ? y % m : (y % m + m) % m) {}

    constexpr int val() const { return x; }

    constexpr mint& operator+=(const mint& r) {
        if ((x += r.x) >= m) x -= m;
        return *this;
    }
    constexpr mint& operator-=(const mint& r) {
        if ((x += m - r.x) >= m) x -= m;
        return *this;
    }
    constexpr mint& operator*=(const mint& r) {
        x = static_cast<int>(1LL * x * r.x % m);
        return *this;
    }
    constexpr mint& operator/=(const mint& r) { return *this *= r.inv(); }

    constexpr bool operator==(const mint& r) const { return x == r.x; }

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

    constexpr friend mint operator+(const mint& l, const mint& r) {
        return mint(l) += r;
    }
    constexpr friend mint operator-(const mint& l, const mint& r) {
        return mint(l) -= r;
    }
    constexpr friend mint operator*(const mint& l, const mint& r) {
        return mint(l) *= r;
    }
    constexpr friend mint operator/(const mint& l, const mint& r) {
        return mint(l) /= r;
    }

    constexpr mint inv() const {
        int a = x, b = m, u = 1, v = 0;
        while (b > 0) {
            int t = a / b;
            std::swap(a -= t * b, b);
            std::swap(u -= t * v, v);
        }
        return mint(u);
    }

    constexpr mint pow(long long n) const {
        mint ret(1), mul(x);
        while (n > 0) {
            if (n & 1) ret *= mul;
            mul *= mul;
            n >>= 1;
        }
        return ret;
    }

    friend std::ostream& operator<<(std::ostream& os, const mint& r) {
        return os << r.x;
    }

    friend std::istream& operator>>(std::istream& is, mint& r) {
        long long t;
        is >> t;
        r = mint(t);
        return is;
    }

   private:
    int x;
};
#line 2 "math/set/and_or_convolution.hpp"
#include <bit>
#line 4 "math/set/and_or_convolution.hpp"

#line 5 "math/set/zeta_moebius_transform.hpp"

template <typename T>
void superset_fzt(std::vector<T>& a) {
    assert(std::has_single_bit(a.size()));
    const int n = a.size();
    for (int i = 1; i < n; i <<= 1) {
        for (int j = 0; j < n; ++j) {
            if (!(j & i)) a[j] += a[j | i];
        }
    }
}

template <typename T>
void superset_fmt(std::vector<T>& a) {
    assert(std::has_single_bit(a.size()));
    const int n = a.size();
    for (int i = 1; i < n; i <<= 1) {
        for (int j = 0; j < n; ++j) {
            if (!(j & i)) a[j] -= a[j | i];
        }
    }
}

template <typename T>
void subset_fzt(std::vector<T>& a) {
    assert(std::has_single_bit(a.size()));
    const int n = a.size();
    for (int i = 1; i < n; i <<= 1) {
        for (int j = 0; j < n; ++j) {
            if (!(j & i)) a[j | i] += a[j];
        }
    }
}

template <typename T>
void subset_fmt(std::vector<T>& a) {
    assert(std::has_single_bit(a.size()));
    const int n = a.size();
    for (int i = 1; i < n; i <<= 1) {
        for (int j = 0; j < n; ++j) {
            if (!(j & i)) a[j | i] -= a[j];
        }
    }
}
#line 6 "math/set/and_or_convolution.hpp"

/**
 * @brief Bitwise AND/OR Convolution
 */

template <typename T>
std::vector<T> and_convolution(std::vector<T> a, std::vector<T> b) {
    const int n = std::bit_ceil(std::max(a.size(), b.size()));
    a.resize(n);
    b.resize(n);
    superset_fzt(a);
    superset_fzt(b);
    for (int i = 0; i < n; ++i) a[i] *= b[i];
    superset_fmt(a);
    return a;
}

template <typename T>
std::vector<T> or_convolution(std::vector<T> a, std::vector<T> b) {
    const int n = std::bit_ceil(std::max(a.size(), b.size()));
    a.resize(n);
    b.resize(n);
    subset_fzt(a);
    subset_fzt(b);
    for (int i = 0; i < n; ++i) a[i] *= b[i];
    subset_fmt(a);
    return a;
}
#line 7 "test/yosupo/bitwise_and_convolution.test.cpp"
using namespace std;
using ll = long long;

using mint = Modint<998244353>;

int main() {
    int N;
    cin >> N;
    vector<mint> a(1 << N), b(1 << N);
    for (auto& x : a) cin >> x;
    for (auto& x : b) cin >> x;
    auto c = and_convolution(a, b);
    for (int i = 0; i < (1 << N); ++i)
        cout << c[i] << (i < (1 << N) - 1 ? " " : "\n");
}