#include #include 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 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 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(); }