結果

問題 No.1304 あなたは基本が何か知っていますか？私は知っています．
ユーザー kcvlexkcvlex
提出日時 2020-12-01 17:54:57
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 19 ms / 2,000 ms
コード長 7,943 bytes
コンパイル時間 1,980 ms
コンパイル使用メモリ 163,568 KB
最終ジャッジ日時 2025-01-16 11:46:29
ジャッジサーバーID
（参考情報） 		judge3 / judge5
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 1
other AC * 45 MLE * 19 RE * 10
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 # 

#include <limits>
#include <initializer_list>
#include <utility>
#include <bitset>
#include <tuple>
#include <type_traits>
#include <functional>
#include <string>
#include <array>
#include <deque>
#include <list>
#include <queue>
#include <stack>
#include <vector>
#include <map>
#include <set>
#include <unordered_map>
#include <unordered_set>
#include <iterator>
#include <algorithm>
#include <complex>
#include <random>
#include <numeric>
#include <iostream>
#include <iomanip>
#include <sstream>
#include <regex>
#include <cassert>
#include <cstddef>
#include <variant>

#define endl codeforces

#define ALL(v) std::begin(v), std::end(v)
#define ALLR(v) std::rbegin(v), std::rend(v)

using ll = std::int64_t;
using ull = std::uint64_t;
using pii = std::pair<int, int>;
using tii = std::tuple<int, int, int>;
using pll = std::pair<ll, ll>;
using tll = std::tuple<ll, ll, ll>;
using size_type = ssize_t;
template <typename T> using vec = std::vector<T>;
template <typename T> using vvec = vec<vec<T>>;

template <typename T> const T& var_min(const T &t) { return t; }
template <typename T> const T& var_max(const T &t) { return t; }
template <typename T, typename... Tail> const T& var_min(const T &t, const Tail&... tail) { return std::min(t, var_min(tail...)); }
template <typename T, typename... Tail> const T& var_max(const T &t, const Tail&... tail) { return std::max(t, var_max(tail...)); }
template <typename T, typename... Tail> void chmin(T &t, const Tail&... tail) { t = var_min(t, tail...); }
template <typename T, typename... Tail> void chmax(T &t, const Tail&... tail) { t = var_max(t, tail...); }

template <typename T, std::size_t Head, std::size_t... Tail> 
struct multi_dim_array { using type = std::array<typename multi_dim_array<T, Tail...>::type, Head>; };

template <typename T, std::size_t Head> 
struct multi_dim_array<T, Head> { using type = std::array<T, Head>; };

template <typename T, std::size_t... Args> using mdarray = typename multi_dim_array<T, Args...>::type;

template <typename T, typename F, typename... Args> 
void fill_seq(T &t, F f, Args... args) { 
    if constexpr (std::is_invocable<F, Args...>::value) { 
        t = f(args...); 
    } else { 
        for (size_type i = 0; i < t.size(); i++) fill_seq(t[i], f, args..., i); 
    } 
}

template <typename T> vec<T> make_v(size_type sz) { return vec<T>(sz); }

template <typename T, typename... Tail> 
auto make_v(size_type hs, Tail&&... ts) { 
    auto v = std::move(make_v<T>(std::forward<Tail>(ts)...)); 
    return vec<decltype(v)>(hs, v); 
}

namespace init__ { 
struct InitIO { 
    InitIO() { 
        std::cin.tie(nullptr); 
        std::ios_base::sync_with_stdio(false); 
        std::cout << std::fixed << std::setprecision(30); 
    } 
} init_io; 
}

template <typename T>
T ceil_pow2(T bound) {
    T ret = 1;
    while (ret < bound) ret *= 2;
    return ret;
}

template <typename T>
T ceil_div(T a, T b) { return a / b + !!(a % b); }


namespace math {

template <typename T>
constexpr T mul_id_ele() {
    if constexpr (std::is_fundamental<T>::value) {
        return T(1);
    } else {
        return T::mul_id_ele();
    }
}

template <typename T>
constexpr T add_id_ele() {
    if constexpr (std::is_fundamental<T>::value) {
        return T(0);
    } else {
        return T::add_id_ele();
    }
}

template <typename T>
constexpr T pow(const T &n, ll k) {
    T ret = mul_id_ele<T>();
    T cur = n;
    while (k) {
        if (k & 1) ret *= cur;
        cur *= cur;
        k /= 2;
    }
    return ret;
}


template <typename T>
typename std::enable_if<std::is_integral<T>::value, T>::type
gcd(T a, T b) { return b ? gcd(a % b, b) : a; }

}

namespace math {

template <ull Mod>
struct Modint {

    constexpr Modint(ll x) noexcept : x((Mod + x % static_cast<ll>(Mod)) % Mod) { }
    constexpr Modint() noexcept : Modint(0) { }
    
    constexpr static Modint add_id_ele() { 
        return Modint(0); 
    }
    
    constexpr static Modint mul_id_ele() {
        return Modint(1);
    }
    
    constexpr ll value() const noexcept { 
        return static_cast<ll>(x);
    }

    constexpr Modint& operator+=(const Modint &oth) noexcept {
        x += oth.value();
        if (Mod <= x) x -= Mod;
        return *this;
    }

    constexpr Modint& operator-=(const Modint &oth) noexcept {
        x += Mod - oth.value();
        if (Mod <= x) x -= Mod;
        return *this;
    }

    constexpr Modint& operator*=(const Modint &oth) noexcept {
        x *= oth.value();
        x %= Mod;
        return *this;
    }

    constexpr Modint& operator/=(const Modint &oth) noexcept {
        x *= oth.inv().value();
        x %= Mod;
        return *this;
    }

    constexpr Modint operator+(const Modint &oth) const noexcept {
        return Modint(x) += oth;
    }

    constexpr Modint operator-(const Modint &oth) const noexcept {
        return Modint(x) -= oth;
    }

    constexpr Modint operator*(const Modint &oth) const noexcept {
        return Modint(x) *= oth;
    }

    constexpr Modint operator/(const Modint &oth) const noexcept {
        return Modint(x) /= oth;
    }

    constexpr Modint operator-() const noexcept {
        return Modint((x != 0) * (Mod - x)); 
    }

    constexpr bool operator==(const Modint &oth) const noexcept {
        return value() == oth.value();
    }

    template <typename T>
    constexpr typename std::enable_if<std::is_integral<T>::value, const Modint&>::type
    operator=(T t) noexcept {
        (*this) = Modint(std::forward<T>(t)); 
        return *this;
    }

    constexpr Modint inv() const noexcept {
        return ::math::pow(*this, Mod - 2);
    }

    constexpr ull mod() const noexcept {
        return Mod;
    }

private:
    ull x;
};

template <ull Mod>
Modint<Mod> inv(Modint<Mod> m) {
    return m.inv();
}

template <ull Mod>
std::istream& operator>>(std::istream &is, Modint<Mod> &m) {
    ll v;
    is >> v;
    m = v;
    return is;
}

template <ull Mod>
std::ostream& operator<<(std::ostream &os, Modint<Mod> m) {
    os << m.value();
    return os;
}

}

constexpr ull mod = 998'244'353;
constexpr ll SIZE = 1 << 10;
using mint = math::Modint<mod>;

struct Solver {
    ll n, k, x, y;
    vec<ll> av;
    vec<mint> sum;

    Solver(ll n, ll k, ll x, ll y) 
        : n(n), k(k), x(x), y(y), av(k), sum(SIZE)
    {
        for (ll &e : av) std::cin >> e;
        std::sort(ALL(av));
        av.erase(std::unique(ALL(av)), av.end());
    }

    // k is small
    void solve1() {
        ll sz = av.size();
        auto dp = make_v<mint>(n + 1, SIZE, sz);

        for (ll i = 0; i < sz; i++) {
            dp[1][av[i]][i] = 1;
            sum[av[i]] += 1;
        }

        for (ll i = 1; i < n; i++) {
            for (ll j = 0; j < SIZE; j++) for (ll k = 0; k < sz; k++) {
                dp[i + 1][j ^ av[k]][k] = sum[j] - dp[i][j][k];
            }
            std::fill(ALL(sum), 0);
            for (ll j = 0; j < SIZE; j++) sum[j] += std::accumulate(ALL(dp[i + 1][j]), mint(0));
        }
    }

    // n is small
    void solve2() {
        ll sz = av.size();
        auto dp1 = make_v<mint>(sz, SIZE), dp2 = dp1;

        for (ll i = 0; i < sz; i++) {
            dp1[i][av[i]] = 1;
            sum[av[i]] += 1;
        }

        for (ll loop = 0; loop < n - 1; loop++) {
            for (ll i = 0; i < sz; i++) for (ll j = 0; j < SIZE; j++) {
                dp2[i][j ^ av[i]] = sum[j] - dp1[i][j];
            }
            std::swap(dp1, dp2);
            std::fill(ALL(sum), 0);
            for (auto &v : dp1) for (ll i = 0; i < SIZE; i++) sum[i] += v[i];
        }
    }

    mint solve() {
        if (n <= 10) solve2();
        else solve1();
        mint ans = 0;
        for (ll i = 0; i < SIZE; i++) if (x <= i && i <= y) ans += sum[i];
        return ans;
    }
};

int main() {
    ll n, k, x, y;
    std::cin >> n >> k >> x >> y;
    Solver solver(n, k, x, y);
    std::cout << solver.solve() << "\n";
    return 0;
}
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