verify/set/LC_bitwise_and_convolution.test.cpp

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Last update: 2025-10-29 02:30:28+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 "template/template.hpp"
#include "modint/modint.hpp"
using mint = ModInt<998244353>;
#include "set/and-convolution.hpp"

int main() {
  int n;
  in(n);
  vector<mint> a(1 << n), b(1 << n);
  in(a, b);
  auto c = AndConvolution(a, b);
  out(c);
}

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

#line 2 "template/template.hpp"
#include <bits/stdc++.h>
using namespace std;

#line 2 "template/macro.hpp"
#define rep(i, a, b) for (int i = (a); i < (int)(b); i++)
#define rrep(i, a, b) for (int i = (int)(b) - 1; i >= (a); i--)
#define ALL(v) (v).begin(), (v).end()
#define UNIQUE(v) sort(ALL(v)), (v).erase(unique(ALL(v)), (v).end())
#define SZ(v) (int)v.size()
#define MIN(v) *min_element(ALL(v))
#define MAX(v) *max_element(ALL(v))
#define LB(v, x) int(lower_bound(ALL(v), (x)) - (v).begin())
#define UB(v, x) int(upper_bound(ALL(v), (x)) - (v).begin())
#define YN(b) cout << ((b) ? "YES" : "NO") << "\n";
#define Yn(b) cout << ((b) ? "Yes" : "No") << "\n";
#define yn(b) cout << ((b) ? "yes" : "no") << "\n";
#line 6 "template/template.hpp"

#line 2 "template/util.hpp"
using uint = unsigned int;
using ll = long long int;
using ull = unsigned long long;
using i128 = __int128_t;
using u128 = __uint128_t;

template <class T, class S = T>
S SUM(const vector<T> &a) {
  return accumulate(ALL(a), S(0));
}
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;
}

template <class T>
int popcnt(T x) {
  return __builtin_popcountll(x);
}
template <class T>
int topbit(T x) {
  return (x == 0 ? -1 : 63 - __builtin_clzll(x));
}
template <class T>
int lowbit(T x) {
  return (x == 0 ? -1 : __builtin_ctzll(x));
}
#line 8 "template/template.hpp"

#line 2 "template/inout.hpp"
struct Fast {
  Fast() {
    cin.tie(nullptr);
    ios_base::sync_with_stdio(false);
    cout << fixed << setprecision(15);
  }
} fast;

template <class T1, class T2>
istream &operator>>(istream &is, pair<T1, T2> &p) {
  return is >> p.first >> p.second;
}
template <class T1, class T2>
ostream &operator<<(ostream &os, const pair<T1, T2> &p) {
  return os << p.first << " " << p.second;
}
template <class T>
istream &operator>>(istream &is, vector<T> &a) {
  for (auto &v : a) is >> v;
  return is;
}
template <class T>
ostream &operator<<(ostream &os, const vector<T> &a) {
  for (auto it = a.begin(); it != a.end();) {
    os << *it;
    if (++it != a.end()) os << " ";
  }
  return os;
}
template <class T>
ostream &operator<<(ostream &os, const set<T> &st) {
  os << "{";
  for (auto it = st.begin(); it != st.end();) {
    os << *it;
    if (++it != st.end()) os << ",";
  }
  os << "}";
  return os;
}
template <class T1, class T2>
ostream &operator<<(ostream &os, const map<T1, T2> &mp) {
  os << "{";
  for (auto it = mp.begin(); it != mp.end();) {
    os << it->first << ":" << it->second;
    if (++it != mp.end()) os << ",";
  }
  os << "}";
  return os;
}

void in() {}
template <typename T, class... U>
void in(T &t, U &...u) {
  cin >> t;
  in(u...);
}
void out() { cout << "\n"; }
template <typename T, class... U, char sep = ' '>
void out(const T &t, const U &...u) {
  cout << t;
  if (sizeof...(u)) cout << sep;
  out(u...);
}
#line 10 "template/template.hpp"

#line 2 "template/debug.hpp"
#ifdef LOCAL
#define debug 1
#define show(...) _show(0, #__VA_ARGS__, __VA_ARGS__)
#else
#define debug 0
#define show(...) true
#endif
template <class T>
void _show(int i, T name) {
  cerr << '\n';
}
template <class T1, class T2, class... T3>
void _show(int i, const T1 &a, const T2 &b, const T3 &...c) {
  for (; a[i] != ',' && a[i] != '\0'; i++) cerr << a[i];
  cerr << ":" << b << " ";
  _show(i + 1, a, c...);
}
#line 2 "modint/modint.hpp"

template <unsigned int m = 998244353>
struct ModInt {
  using mint = ModInt;
  unsigned int _v;
  static constexpr unsigned int get_mod() { return m; }
  static mint raw(int v) {
    mint x;
    x._v = v;
    return x;
  }
  ModInt() : _v(0) {}
  ModInt(int64_t v) {
    long long x = (long long)(v % (long long)(umod()));
    if (x < 0) x += umod();
    _v = (unsigned int)(x);
  }
  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 {
    assert(0 <= n);
    mint x = *this, r = 1;
    while (n) {
      if (n & 1) r *= x;
      x *= x;
      n >>= 1;
    }
    return r;
  }
  mint inv() const {
    assert(_v);
    return pow(umod() - 2);
  }

  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 istream &operator>>(istream &is, mint &x) {
    return is >> x._v;
  }
  friend ostream &operator<<(ostream &os, const mint &x) {
    return os << x.val();
  }

 private:
  static constexpr unsigned int umod() { return m; }
};
#line 5 "verify/set/LC_bitwise_and_convolution.test.cpp"
using mint = ModInt<998244353>;
#line 2 "set/and-convolution.hpp"

#line 2 "set/zeta-mobius-transform.hpp"

template <class T>
void SupsetZetaTransform(vector<T>& f) {
  int n = f.size();
  assert((n & (n - 1)) == 0);
  for (int i = 1; i < n; i <<= 1)
    for (int j = 0; j < n; j += i * 2)
      for (int k = 0; k < i; k++)
        f[j + k] += f[i + j + k];
}

template <class T>
void SupsetMobiusTransform(vector<T>& f) {
  int n = f.size();
  assert((n & (n - 1)) == 0);
  for (int i = 1; i < n; i <<= 1)
    for (int j = 0; j < n; j += i * 2)
      for (int k = 0; k < i; k++)
        f[j + k] -= f[i + j + k];
}

template <class T>
void SubsetZetaTransform(vector<T>& f) {
  int n = f.size();
  assert((n & (n - 1)) == 0);
  for (int i = 1; i < n; i <<= 1)
    for (int j = 0; j < n; j += i * 2)
      for (int k = 0; k < i; k++)
        f[i + j + k] += f[j + k];
}

template <class T>
void SubsetMobiusTransform(vector<T>& f) {
  int n = f.size();
  assert((n & (n - 1)) == 0);
  for (int i = 1; i < n; i <<= 1)
    for (int j = 0; j < n; j += i * 2)
      for (int k = 0; k < i; k++)
        f[i + j + k] -= f[j + k];
}
#line 4 "set/and-convolution.hpp"

template <class T>
vector<T> AndConvolution(vector<T> a, vector<T> b) {
  assert(a.size() == b.size());
  SupsetZetaTransform(a);
  SupsetZetaTransform(b);
  for (int i = 0; i < a.size(); i++) a[i] *= b[i];
  SupsetMobiusTransform(a);
  return a;
}
#line 7 "verify/set/LC_bitwise_and_convolution.test.cpp"

int main() {
  int n;
  in(n);
  vector<mint> a(1 << n), b(1 << n);
  in(a, b);
  auto c = AndConvolution(a, b);
  out(c);
}