結果

問題 No.2600 Avator Height
ユーザー nono00
提出日時 2024-01-12 21:33:50
言語 C++23
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 55 ms / 2,000 ms
コード長 3,372 bytes
コンパイル時間 3,034 ms
コンパイル使用メモリ 247,476 KB
実行使用メモリ 6,948 KB
最終ジャッジ日時 2024-09-27 21:26:29
合計ジャッジ時間 7,074 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge2
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 * 25
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 #
プレゼンテーションモードにする

#include <bits/stdc++.h>
#include <iostream>
namespace nono {
namespace internal {
constexpr bool is_prime(unsigned long long n) {
    for (unsigned long long i = 2; i * i <= n; i++) {
        if (n % i == 0) return false;
    }
    return true;
}
}  //  namespace internal
template <unsigned long long MOD = 998244353>
class Modint {
  public:
    static_assert(internal::is_prime(MOD));
    constexpr Modint(unsigned long long value = 0): value_(value % MOD) {}
    constexpr Modint pow(long long exp) const {
        Modint result(1);
        Modint base(*this);
        while (exp > 0) {
            if (exp & 1) {
                result *= base;
            }
            base *= base;
            exp >>= 1;
        }
        return result;
    }
    constexpr Modint inv() const {
        return pow(MOD - 2);
    }
    void set(unsigned long long value) {
        if (value >= MOD) value %= MOD;
        value_ = value;
    }
    unsigned long long get() const {
        return value_;
    }
    friend constexpr bool operator==(const Modint lhs, const Modint rhs) {
        return lhs.value_ == rhs.value_;
    }
    constexpr Modint& operator+=(const Modint other) {
        this->value_ += other.value_;
        if (this->value_ >= MOD) this->value_ -= MOD;
        return *this;
    }
    constexpr Modint& operator-=(const Modint other) {
        this->value_ += MOD - other.value_;
        if (this->value_ >= MOD) this->value_ -= MOD;
        return *this;
    }
    constexpr Modint& operator*=(const Modint other) {
        this->value_ *= other.value_;
        if (this->value_ >= MOD) this->value_ %= MOD;
        return *this;
    }
    constexpr Modint& operator/=(const Modint other) {
        return *this *= other.inv();
    }
    constexpr friend Modint operator+(const Modint lhs, const Modint rhs) {
        return Modint(lhs) += rhs;
    }
    constexpr friend Modint operator-(const Modint lhs, const Modint rhs) {
        return Modint(lhs) -= rhs;
    }
    constexpr friend Modint operator*(const Modint lhs, const Modint rhs) {
        return Modint(lhs) *= rhs;
    }
    constexpr friend Modint operator/(const Modint lhs, const Modint rhs) {
        return Modint(lhs) /= rhs;
    }
    friend std::istream& operator>>(std::istream& stream, Modint& mint) {
        unsigned long long value;
        stream >> value;
        mint.set(value);
        return stream;
    }
    friend std::ostream& operator<<(std::ostream& stream, Modint mint) {
        stream << mint.get();
        return stream;
    }
  private:
    unsigned long long value_;
};
using Modint998244353 = Modint<998244353>;
using Modint1000000007 = Modint<1000000007>;
}  //  namespace nono
void solve() {
    using Mint = nono::Modint998244353;
    const int N = 200005;
    std::array<Mint, N> r, e;
    r.fill(1);
    e.fill(1);
    r[1] = 1;
    r[2] = 1;
    for (int i = 3; i < N; i++) {
        r[i] = r[i - 1] + r[i - 2];
    }
    e[1] = 1;
    e[2] = 3;
    for (int i = 3; i < N; i++) {
        e[i] = e[i - 1] + e[i - 2];
    }
    int q;
    std::cin >> q;
    while (q--) {
        int n;
        std::cin >> n;
        std::cout << 5 * r[n].pow(2) - e[n].pow(2) << '\n';
    }
}
int main() {
    std::cin.tie(0)->sync_with_stdio(0);
    std::cout << std::fixed << std::setprecision(16);
    int t = 1;
    while (t--) solve();
}
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