// Template #include "bits/stdc++.h" #define rep_override(x, y, z, name, ...) name #define rep2(i, n) for (int i = 0; i < (int)(n); ++i) #define rep3(i, l, r) for (int i = (int)(l); i < (int)(r); ++i) #define rep(...) rep_override(__VA_ARGS__, rep3, rep2)(__VA_ARGS__) #define all(x) (x).begin(), (x).end() using namespace std; using ll = long long; constexpr int inf = 1001001001; constexpr ll infll = 3003003003003003003LL; template inline bool chmin(T &x, const T &y) { if (x > y) { x = y; return true; } return false; } template inline bool chmax(T &x, const T &y) { if (x < y) { x = y; return true; } return false; } template istream &operator>>(istream &is, vector &vec) { for (T &element : vec) is >> element; return is; } template ostream &operator<<(ostream &os, const vector &vec) { for (int i = 0, vec_len = (int)vec.size(); i < vec_len; ++i) { os << vec[i] << (i + 1 == vec_len ? "" : " "); } return os; } struct IOSET { IOSET() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(10); } } ioset; // Mod-Int #include #include template = 1u && mod < (1u << 31)> * = nullptr> struct ModInt { unsigned int val; ModInt() : val(0u) {} ModInt(long long x) : val(x < 0 ? x % mod + mod : (unsigned long long)x % mod) {} ModInt &operator+=(const ModInt &x) { val += x.val; if (val >= mod) val -= mod; return *this; } ModInt &operator-=(const ModInt &x) { if (val < x.val) val += mod; val -= x.val; return *this; } ModInt &operator*=(const ModInt &x) { unsigned long long s = (unsigned long long)val * x.val; val = (unsigned int)(s % mod); return *this; } ModInt operator+() const { return *this; } ModInt operator-() const { return ModInt(0u) - *this; } friend ModInt operator+(const ModInt &x, const ModInt &y) { return ModInt(x) += y; } friend ModInt operator-(const ModInt &x, const ModInt &y) { return ModInt(x) -= y; } friend ModInt operator*(const ModInt &x, const ModInt &y) { return ModInt(x) *= y; } friend std::istream &operator>>(std::istream &is, ModInt &x) { is >> x.val; // x.value %= mod; return is; } friend std::ostream &operator<<(std::ostream &os, const ModInt &x) { os << x.val; return os; } ModInt pow(unsigned long long x) const { ModInt res(1u), s(*this); while (x) { if (x & 1) res *= s; s *= s; x >>= 1; } return res; } // --- mod is prime --- ModInt &operator/=(const ModInt &x) { *this *= x.pow(mod - 2); return *this; } friend ModInt operator/(const ModInt &x, const ModInt &y) { return ModInt(x) /= y; } }; // Conmibation #include #include template // mod is prime struct Combination { std::vector> fact, inv_fact; Combination(std::size_t n) { resize(n); } void resize(std::size_t n) { std::size_t siz = fact.size(); if (siz >= n + 1) return; fact.resize(n + 1); inv_fact.resize(n + 1); if (siz == 0) { fact[0] = inv_fact[0] = ModInt(1u); ++siz; } for (std::size_t i = siz; i <= n; ++i) { fact[i].val = fact[i - 1].val * (unsigned long long)i % mod; } inv_fact[n] = fact[n].pow(mod - 2); for (std::size_t i = n - 1; i >= siz; --i) { inv_fact[i].val = inv_fact[i + 1].val * (unsigned long long)(i + 1) % mod; } } ModInt operator()(int x, int y) const { if (y < 0 || y > x) return ModInt(0u); assert(x >= 0 && x < fact.size()); return fact[x] * inv_fact[y] * inv_fact[x - y]; } }; // Main constexpr unsigned int mod = 998244353; using mint = ModInt; int main() { int n; cin >> n; Combination comb(n); mint ans(0); rep(i, n / 2 + 1) { ans += comb(n, i * 2) * mint(2) * mint(2).pow(abs(n - 4 * i)); } cout << ans << "\n"; }