結果

問題 No.1958 Bit Game
ユーザー Cyanmond
提出日時 2022-05-27 21:45:23
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 262 ms / 2,000 ms
コード長 12,092 bytes
コンパイル時間 2,019 ms
コンパイル使用メモリ 198,772 KB
最終ジャッジ日時 2025-01-29 15:53:35
ジャッジサーバーID
（参考情報） 		judge4 / judge5
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ファイルパターン 結果
sample AC * 3
other AC * 30
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ソースコード

diff #
プレゼンテーションモードにする

#line 2 "ProCon/Library/template/util.hpp"
#include <algorithm>
#include <array>
#include <cassert>
#include <cstdint>
#include <iostream>
#include <iterator>
#include <limits>
#include <numeric>
#include <queue>
#include <random>
#include <tuple>
#include <type_traits>
#include <vector>
using i8 = std::int8_t;
using u8 = std::uint8_t;
using i16 = std::int16_t;
using i32 = std::int32_t;
using i64 = std::int64_t;
using u16 = std::uint16_t;
using u32 = std::uint32_t;
using u64 = std::uint64_t;
constexpr i8 operator""_i8(unsigned long long n) noexcept { return static_cast<i8>(n); }
constexpr i16 operator""_i16(unsigned long long n) noexcept { return static_cast<i16>(n); }
constexpr i32 operator""_i32(unsigned long long n) noexcept { return static_cast<i32>(n); }
constexpr i64 operator""_i64(unsigned long long n) noexcept { return static_cast<i64>(n); }
constexpr u8 operator""_u8(unsigned long long n) noexcept { return static_cast<u8>(n); }
constexpr u16 operator""_u16(unsigned long long n) noexcept { return static_cast<u16>(n); }
constexpr u32 operator""_u32(unsigned long long n) noexcept { return static_cast<u32>(n); }
constexpr u64 operator""_u64(unsigned long long n) noexcept { return static_cast<u64>(n); }
constexpr char eoln = '\n';
template <typename T, T Div = 2> constexpr T infty = std::numeric_limits<T>::max() / Div - 2;
template <class T> using RevPriorityQueue = std::priority_queue<T, std::vector<T>, std::greater<T>>;
constexpr std::array<std::pair<int, int>, 4> dxy4 = {{{1, 0}, {0, 1}, {-1, 0}, {0, -1}}};
constexpr std::array<i64, 6> infty_list = {infty<short>,  infty<int>, infty<i64>,
                                           infty<i64, 3>, infty<u32>, infty<u64>};
template <typename T> bool is_infty(const T v) {
    if (v > 0 and static_cast<u64>(v) > infty<u64>) return false;
    for (const auto e : infty_list) {
        if (e == static_cast<i64>(v)) return true;
    }
    return false;
}
class Range {
    struct Iterator {
        int itr;
        constexpr Iterator(const int pos) noexcept : itr(pos) {}
        constexpr void operator++() noexcept { ++itr; }
        constexpr bool operator!=(const Iterator &other) const noexcept { return itr != other.itr; }
        constexpr int operator*() const noexcept { return itr; }
    };
    const Iterator first, last;
  public:
    explicit constexpr Range(const int f, const int l) noexcept : first(f), last(std::max(f, l)) {}
    constexpr Iterator begin() const noexcept { return first; }
    constexpr Iterator end() const noexcept { return last; }
};
class ReversedRange {
    struct Iterator {
        int itr;
        constexpr Iterator(const int pos) noexcept : itr(pos) {}
        constexpr void operator++() noexcept { --itr; }
        constexpr bool operator!=(const Iterator &other) const noexcept { return itr != other.itr; }
        constexpr int operator*() const noexcept { return itr; }
    };
    const Iterator first, last;
  public:
    explicit constexpr ReversedRange(const int f, const int l) noexcept
        : first(l - 1), last(std::min(f, l) - 1) {}
    constexpr Iterator begin() const noexcept { return first; }
    constexpr Iterator end() const noexcept { return last; }
};
#define SIKICM_REP1(i, r) for (const int i : Range(0, r))
#define SIKICM_REP2(i, l, r) for (int i : Range(l, r))
#define SIKICM_RVP1(i, r) for (const int i : ReversedRange(0, r))
#define SIKICM_RVP2(i, l, r) for (int i : ReversedRange(l, r))
#define SIKICM_SELECT2(a, b, c, name, ...) name
#define REP(...) SIKICM_SELECT2(__VA_ARGS__, SIKICM_REP2, SIKICM_REP1)(__VA_ARGS__)
#define RVP(...) SIKICM_SELECT2(__VA_ARGS__, SIKICM_RVP2, SIKICM_RVP1)(__VA_ARGS__)
#define HRL(n) for ([[maybe_unused]] const int loop_counter : Range(0, n))
template <class Container> constexpr int len(const Container &c) {
    return static_cast<int>(std::size(c));
}
template <typename T> constexpr bool chmin(T &v, const T a) {
    if (v > a) {
        v = a;
        return true;
    }
    return false;
}
template <typename T> constexpr bool chmax(T &v, const T a) {
    if (v < a) {
        v = a;
        return true;
    }
    return false;
}
template <typename T> constexpr T ceil_div(const T x, const T y) {
    assert(y != 0);
    assert(x > 0 and y > 0);
    return (x + y - 1) / y;
}
template <class Container, class T> constexpr int lwb(const Container &c, const T &val) {
    return static_cast<int>(std::distance(c.cbegin(), std::lower_bound(c.cbegin(), c.cend(), val)));
}
template <class Container, class T> constexpr int upb(const Container &c, const T &val) {
    return static_cast<int>(std::distance(c.cbegin(), std::upper_bound(c.cbegin(), c.cend(), val)));
}
template <class Container, class F> constexpr int lmp(const Container &c, const F &f) {
    return static_cast<int>(
        std::distance(c.cbegin(), std::partition_point(c.cbegin(), c.cend(), f)));
}
template <class T> auto make_vec(const int n, const T &value) { return std::vector<T>(n, value); }
template <class... Args> auto make_vec(const int n, Args... args) {
    return std::vector<decltype(make_vec(args...))>(n, make_vec(args...));
}
template <class T, class... Tail>
void renumber(const std::vector<int> &order, std::vector<T> &head, Tail &... tail) {
    const int n = len(order);
    std::vector<T> sorted_head(n);
    REP(i, n) sorted_head[i] = head[order[i]];
    head = std::move(sorted_head);
    if constexpr (sizeof...(Tail) != 0) {
        renumber(order, tail...);
    }
}
template <class Head, class... Tail>
std::vector<int> priority_sort(std::vector<Head> &head, std::vector<Tail> &... tail) {
    const int n = len(head);
    std::vector<std::tuple<Head, Tail..., int>> res(n);
    REP(i, n) res[i] = std::make_tuple(head[i], tail[i]..., i);
    std::sort(res.begin(), res.end());
    std::vector<int> order(n);
    REP(i, 0, n)
    order[i] = std::get<std::tuple_size_v<std::tuple<Head, Tail...>>>(res[i]);
    renumber(order, head, tail...);
    return order;
}
std::vector<int> iotav(const int n) {
    std::vector<int> ret(n);
    std::iota(ret.begin(), ret.end(), 0);
    return ret;
}
template <class Container> auto calc_sum(const Container &c) {
    return std::accumulate(c.cbegin(), c.cend(), static_cast<typename Container::value_type>(0));
}
template <typename T> constexpr T ceil_log2(const T x) {
    int e = 0;
    while ((static_cast<T>(1) << e) < x) ++e;
    return e;
}
template <typename T> constexpr int ceil_pow2(const T x) { return 1 << ceil_log2(x); }
#line 5 "ProCon/Library/template/debug.hpp"
#include <utility>
namespace DebugImpl {
template <typename U, typename = void> struct is_specialize : std::false_type {};
template <typename U>
struct is_specialize<U, typename std::conditional<false, typename U::iterator, void>::type>
    : std::true_type {};
template <typename U>
struct is_specialize<U, typename std::conditional<false, decltype(U::first), void>::type>
    : std::true_type {};
template <typename U>
struct is_specialize<U, std::enable_if_t<std::is_integral<U>::value, void>> : std::true_type {};
void dump(const char &t) { std::cerr << t; }
void dump(const std::string &t) { std::cerr << t; }
void dump(const bool &t) { std::cerr << (t ? "true" : "false"); }
template <typename U, std::enable_if_t<!is_specialize<U>::value, std::nullptr_t> = nullptr>
void dump(const U &t) {
    std::cerr << t;
}
template <typename T>
void dump(const T &t, std::enable_if_t<std::is_integral<T>::value> * = nullptr) {
    std::string res;
    if (is_infty(t)) res = "inf";
    if constexpr (std::is_signed<T>::value) {
        if (is_infty(-t)) res = "-inf";
    }
    if (res.empty()) res = std::to_string(t);
    std::cerr << res;
}
template <typename T, typename U> void dump(const std::pair<T, U> &);
template <typename T> void dump(const std::pair<T *, int> &);
template <typename T>
void dump(const T &t, std::enable_if_t<!std::is_void<typename T::iterator>::value> * = nullptr) {
    std::cerr << "[ ";
    for (auto it = t.begin(); it != t.end();) {
        dump(*it);
        std::cerr << (++it == t.end() ? "" : ", ");
    }
    std::cerr << " ]";
}
template <typename T, typename U> void dump(const std::pair<T, U> &t) {
    std::cerr << "( ";
    dump(t.first);
    std::cerr << ", ";
    dump(t.second);
    std::cerr << " )";
}
template <typename T> void dump(const std::pair<T *, int> &t) {
    std::cerr << "[ ";
    for (int i = 0; i < t.second; i++) {
        dump(t.first[i]);
        std::cerr << (i == t.second - 1 ? "" : ", ");
    }
    std::cerr << " ]";
}
void trace() { std::cerr << std::endl; }
template <typename Head, typename... Tail> void trace(Head &&head, Tail &&... tail) {
    std::cerr << " ";
    dump(head);
    if (sizeof...(tail) != 0) std::cerr << ',';
    trace(std::forward<Tail>(tail)...);
}
} // namespace DebugImpl
#ifdef SIKI_DEBUG
#define vpr(...)                                                                                   \
    do {                                                                                           \
        std::cerr << "## " << #__VA_ARGS__ << " =";                                               \
        DebugImpl::trace(__VA_ARGS__);                                                             \
    } while (0)
#else
#define vpr(...) (void(0))
#endif
// https://github.com/NyaanNyaan/library/blob/master/template/debug.hpp
#line 2 "ProCon/Library/template/macro.hpp"
#define ALL(x) (x).begin(), (x).end()
#define pf push_front
#define pb push_back
#define ef emplace_front
#define eb emplace_back
#define ppf pop_front
#define ppb pop_back
#line 4 "main.cpp"
#include <bits/stdc++.h>
using namespace std;
#line 2 "ProCon/Library/nyaan_lib/modint/modint.hpp"
template <int mod>
struct ModInt {
  int x;
  ModInt() : x(0) {}
  ModInt(int64_t y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {}
  ModInt &operator+=(const ModInt &p) {
    if ((x += p.x) >= mod) x -= mod;
    return *this;
  }
  ModInt &operator-=(const ModInt &p) {
    if ((x += mod - p.x) >= mod) x -= mod;
    return *this;
  }
  ModInt &operator*=(const ModInt &p) {
    x = (int)(1LL * x * p.x % mod);
    return *this;
  }
  ModInt &operator/=(const ModInt &p) {
    *this *= p.inverse();
    return *this;
  }
  ModInt operator-() const { return ModInt(-x); }
  ModInt operator+(const ModInt &p) const { return ModInt(*this) += p; }
  ModInt operator-(const ModInt &p) const { return ModInt(*this) -= p; }
  ModInt operator*(const ModInt &p) const { return ModInt(*this) *= p; }
  ModInt operator/(const ModInt &p) const { return ModInt(*this) /= p; }
  bool operator==(const ModInt &p) const { return x == p.x; }
  bool operator!=(const ModInt &p) const { return x != p.x; }
  ModInt inverse() const {
    int a = x, b = mod, u = 1, v = 0, t;
    while (b > 0) {
      t = a / b;
      swap(a -= t * b, b);
      swap(u -= t * v, v);
    }
    return ModInt(u);
  }
  ModInt pow(int64_t n) const {
    ModInt ret(1), mul(x);
    while (n > 0) {
      if (n & 1) ret *= mul;
      mul *= mul;
      n >>= 1;
    }
    return ret;
  }
  friend ostream &operator<<(ostream &os, const ModInt &p) { return os << p.x; }
  friend istream &operator>>(istream &is, ModInt &a) {
    int64_t t;
    is >> t;
    a = ModInt<mod>(t);
    return (is);
  }
  
  int get() const { return x; }
  static constexpr int get_mod() { return mod; }
};
#line 9 "main.cpp"
using Fp = ModInt<998244353>;
int main() {
    int N;
    i64 X, Y;
    cin >> N >> X >> Y;
    vector<int> A(X), B(Y);
    for (auto &e : A) cin >> e;
    for (auto &e : B) cin >> e;
    Fp ans = 0;
    REP(i, 20) {
        Fp x = 0, y = 0;
        REP(j, Y) if (B[j] & (1 << i)) x += 1;
        y = x;
        x *= X;
        {
            int cnt = 0;
            REP(j, X) if (A[j] & (1 << i))++ cnt;
            y *= cnt;
        }
        Fp r = 0, s = 1;
        HRL(N) {
            Fp new_r = r * x + s * y;
            Fp new_s = r * (Fp(X * Y) - x) + s * (Fp(X * Y) - y);
            r = new_r;
            s = new_s;
        }
        ans += Fp(1 << i) * r;
    }
    cout << ans << endl;
}
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