#503609 (C++14) No.1100 Boxes

• 問題: No.1100 Boxes
• ユーザー: fine
• 提出日時: 2020-06-26 22:58:11
• 言語: C++14 (gcc 13.3.0 + boost 1.87.0)
• 結果: RE
• 実行時間: -
• コード長: 4,069 bytes
• コンパイル時間: 1,510 ms
• コンパイル使用メモリ: 167,440 KB
• 実行使用メモリ: 6,948 KB
• 最終ジャッジ日時: 2024-07-04 23:13:19
• 合計ジャッジ時間: 6,030 ms
• ジャッジサーバーID （参考情報）: judge5 / judge2

ファイルパターン	結果
sample	AC * 2 RE * 2
other	AC * 22 RE * 14

ソースコード

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#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using P = pair<ll, ll>;
constexpr char newl = '\n';
// https://noshi91.hatenablog.com/entry/2019/03/31/174006
template <std::uint_fast64_t Modulus>
struct ModInt {
    using u64 = std::uint_fast64_t;
    static constexpr u64 MOD = Modulus;
    u64 val;
    constexpr ModInt(const u64 x = 0) noexcept : val(x % MOD) {}
    constexpr ModInt operator+() const noexcept { return ModInt(*this); }
    constexpr ModInt operator-() const noexcept {
        ModInt res(*this);
        if (res.val != 0) res.val = MOD - res.val;
        return res;
    }
    constexpr bool operator==(const ModInt& rhs) const noexcept { return val == rhs.val; }
    constexpr bool operator!=(const ModInt& rhs) const noexcept { return val != rhs.val; }
    // prefix increment/decrement
    constexpr ModInt& operator++() noexcept { return *this += ModInt(1); }
    constexpr ModInt& operator--() noexcept { return *this -= ModInt(1); }
    // postfix increment/decrement
    constexpr ModInt operator++(int) noexcept {
        ModInt tmp(*this);
        ++*this;
        return tmp;
    }
    constexpr ModInt operator--(int) noexcept {
        ModInt tmp(*this);
        --*this;
        return tmp;
    }
    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 ModInt& rhs) noexcept {
        val += rhs.val;
        if (val >= MOD) val -= MOD;
        return *this;
    }
    constexpr ModInt& operator-=(const ModInt& rhs) noexcept {
        if (val < rhs.val) val += MOD;
        val -= rhs.val;
        return *this;
    }
    constexpr ModInt& operator*=(const ModInt& rhs) noexcept {
        val = val * rhs.val % MOD;
        return *this;
    }
    // prime Modulus only
    constexpr ModInt& operator/=(const ModInt& rhs) noexcept {
        return *this *= rhs.inv();
    }
    // prime Modulus only
    constexpr ModInt inv() const noexcept {
        return pow(*this, MOD - 2);
    }
};
template<std::uint_fast64_t Modulus>
constexpr ModInt<Modulus> pow(ModInt<Modulus> x, std::uint_fast64_t n) {
    ModInt<Modulus> res(1);
    while (n) {
        if (n & 1) res *= x;
        x *= x;
        n >>= 1;
    }
    return res;
}
template<std::uint_fast64_t Modulus>
istream& operator>>(istream& is, ModInt<Modulus>& x) {
    std::uint_fast64_t val;
    is >> val;
    x = ModInt<Modulus>(val);
    return is;
}
template<std::uint_fast64_t Modulus>
ostream& operator<<(ostream& os, const ModInt<Modulus>& x) {
    return os << x.val;
}
using mint = ModInt<998244353>;
// g++ -Wl,--stack,[STACK SIZE] [file] でスタックサイズを増やすか、
// グローバル変数として宣言して使うこと！！！
template<size_t MAXV, class T = mint>
struct Comb {
    array<T, MAXV + 1> fact, fact_inv;
    constexpr Comb() noexcept {
        fact[0] = 1;
        for (size_t i = 1; i <= MAXV; i++) {
            fact[i] = fact[i - 1] * i;
        }
        fact_inv[MAXV] = fact[MAXV].inv();
        for (size_t i = MAXV; i > 0; i--) {
            fact_inv[i - 1] = fact_inv[i] * i;
        }
    }
    constexpr T operator()(int n, int k) const noexcept {
        if (n < k || n < 0 || k < 0) return 0;
        return fact[n] * fact_inv[k] * fact_inv[n - k];
    }
};
const Comb<200000> comb;
int main() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    int n, K;
    cin >> n >> K;
    assert(K % 2 == 1);
    mint ans = 0;
    for (int i = 0; i <= K - 1; i++) {
        mint tmp = comb(K, i) * pow(mint(i), n) * pow(mint(2), K - i - 1);
        if (i % 2 == 0) ans += tmp;
        else ans -= tmp;
    }
    cout << ans << newl;
    return 0;
}
 
 
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