結果

問題 No.2409 Strange Werewolves
ユーザー polylogKpolylogK
提出日時 2023-08-11 21:43:12
言語 C++17(gcc12)
(gcc 12.3.0 + boost 1.87.0)
結果
AC  
実行時間 42 ms / 2,000 ms
コード長 4,437 bytes
コンパイル時間 2,101 ms
コンパイル使用メモリ 202,404 KB
実行使用メモリ 6,820 KB
最終ジャッジ日時 2024-11-18 15:43:32
合計ジャッジ時間 3,143 ms
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 * 2
other AC * 16
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 # 

#line 1 "__bundle_tmp.cpp"
#include <bits/stdc++.h>
using namespace std::literals::string_literals;
using i64 = std::int_fast64_t;
using std::cerr;
using std::cin;
using std::cout;
using std::endl;

#if defined(DONLINE_JUDGE)
#define NDEBUG
#elif defined(ONLINE_JUDGE)
#define NDEBUG
#endif

template <typename T>
std::vector<T> make_v(size_t a) {
    return std::vector<T>(a);
}
template <typename T, typename... Ts>
auto make_v(size_t a, Ts... ts) {
    return std::vector<decltype(make_v<T>(ts...))>(a, make_v<T>(ts...));
}

#line 1 "/home/ecasdqina/cpcpp/libs/library_cpp/math/modint.hpp"



#line 5 "/home/ecasdqina/cpcpp/libs/library_cpp/math/modint.hpp"

namespace cplib {
template <std::uint_fast64_t Modulus>
class modint {
	using u32 = std::uint_fast32_t;
	using u64 = std::uint_fast64_t;
	using i32 = std::int_fast32_t;
	using i64 = std::int_fast64_t;

	inline u64 apply(i64 x) { return (x < 0 ? x + Modulus : x); };

public:
	u64 a;
	static constexpr u64 mod = Modulus;

	constexpr modint(const i64& x = 0) noexcept: a(apply(x % (i64)Modulus)) {}

	constexpr modint operator+(const modint& rhs) const noexcept { return modint(*this) += rhs; }
	constexpr modint operator-(const modint& rhs) const noexcept { return modint(*this) -= rhs; }
	constexpr modint operator*(const modint& rhs) const noexcept { return modint(*this) *= rhs; }
	constexpr modint operator/(const modint& rhs) const noexcept { return modint(*this) /= rhs; }
	constexpr modint operator^(const u64& k) const noexcept { return modint(*this) ^= k; }
	constexpr modint operator^(const modint& k) const noexcept { return modint(*this) ^= k.value(); }
	constexpr modint operator-() const noexcept { return modint(Modulus - a); }
	constexpr modint operator++() noexcept { return (*this) = modint(*this) + 1; }
	constexpr modint operator--() noexcept { return (*this) = modint(*this) - 1; }
	const bool operator==(const modint& rhs) const noexcept { return a == rhs.a; };
	const bool operator!=(const modint& rhs) const noexcept { return a != rhs.a; };
	const bool operator<=(const modint& rhs) const noexcept { return a <= rhs.a; };
	const bool operator>=(const modint& rhs) const noexcept { return a >= rhs.a; };
	const bool operator<(const modint& rhs) const noexcept { return a < rhs.a; };
	const bool operator>(const modint& rhs) const noexcept { return a > rhs.a; };
	constexpr modint& operator+=(const modint& rhs) noexcept {
		a += rhs.a;
		if (a >= Modulus) a -= Modulus;
		return *this;
	}
	constexpr modint& operator-=(const modint& rhs) noexcept {
		if (a < rhs.a) a += Modulus;
		a -= rhs.a;
		return *this;
	}
	constexpr modint& operator*=(const modint& rhs) noexcept {
		a = a * rhs.a % Modulus;
		return *this;
	}
	constexpr modint& operator/=(modint rhs) noexcept {
		u64 exp = Modulus - 2;
		while (exp) {
			if (exp % 2) (*this) *= rhs;

			rhs *= rhs;
			exp /= 2;
		}
		return *this;
	}
	constexpr modint& operator^=(u64 k) noexcept {
		auto b = modint(1);
		while(k) {
			if(k & 1) b = b * (*this);
			(*this) *= (*this);
			k >>= 1;
		}
		return (*this) = b;
	}
	constexpr modint& operator=(const modint& rhs) noexcept {
		a = rhs.a;
		return (*this);
	}

	const modint inverse() const {
		return modint(1) / *this;
	}
	const modint power(i64 k) const {
		if(k < 0) return modint(*this).inverse() ^ (-k);
		return modint(*this) ^ k;
	}

	explicit operator bool() const { return a; }
	explicit operator u64() const { return a; }
	constexpr u64& value() noexcept { return a; }
	constexpr const u64& value() const noexcept { return a; }

	friend std::ostream& operator<<(std::ostream& os, const modint& p) {
		return os << p.a;
	}
	friend std::istream& operator>>(std::istream& is, modint& p) {
		u64 t;
		is >> t;
		p = modint(t);
		return is;
	}
};
}


#line 25 "__bundle_tmp.cpp"
using mint = cplib::modint<998244353>;

int main() {
    int x, y, z, w;
    scanf("%d%d%d%d", &x, &y, &z, &w);

    if (z == 0) {
        std::swap(x, y);
        std::swap(z, w);
    }

    auto binom = [&](int n, int r) -> mint {
        mint x = 1;
        for (int i = 0; i < r; ++i) {
            x *= n - i;
            x /= i + 1;
        }
		return x;
    };
    auto p = [&](int n, int r) -> mint {
        mint x = 1;
        for (int i = 0; i < r; ++i) {
            x *= n - i;
        }
		return x;
    };

    const int n = (x + y) - z;

    mint ans = binom(n - 1, y - 1) * p(x, x - z) * p(y, y);
	printf("%lld\n", ans.value());
    return 0;
}
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