#include using namespace std; constexpr int MOD = 1012924417; constexpr int ROOT = 5; class mint { int n; public: mint(int n_ = 0) : n(n_) {} explicit operator int() { return n; } friend mint operator-(mint a) { return -a.n + MOD * (a.n != 0); } friend mint operator+(mint a, mint b) { int x = a.n + b.n; return x - (x >= MOD) * MOD; } friend mint operator-(mint a, mint b) { int x = a.n - b.n; return x + (x < 0) * MOD; } friend mint operator*(mint a, mint b) { return (long long)a.n * b.n % MOD; } friend mint &operator+=(mint &a, mint b) { return a = a + b; } friend mint &operator-=(mint &a, mint b) { return a = a - b; } friend mint &operator*=(mint &a, mint b) { return a = a * b; } friend bool operator==(mint a, mint b) { return a.n == b.n; } friend bool operator!=(mint a, mint b) { return a.n != b.n; } friend istream &operator>>(istream &i, mint &a) { return i >> a.n; } friend ostream &operator<<(ostream &o, mint a) { return o << a.n; } }; mint operator "" _m(unsigned long long n) { return n; } mint modpow(mint a, long long b) { mint res = 1; while (b > 0) { if (b & 1) res *= a; a *= a; b >>= 1; } return res; } mint modinv(mint n) { int a = (int)n, b = MOD; int s = 1, t = 0; while (b != 0) { int q = a / b; a -= q * b; s -= q * t; swap(a, b); swap(s, t); } return s >= 0 ? s : s + MOD; } template struct NTT { mint rots[N]; NTT() { mint w = modpow(ROOT, (MOD - 1) / N); mint ws = 1; for (int i = 0; i < N / 2; i++) { rots[i + N / 2] = ws; ws *= w; } for (int i = N / 2 - 1; i >= 1; i--) { rots[i] = rots[i * 2]; } } void ntt(vector &a) { const int n = a.size(); int i = 0; for (int j = 1; j < n - 1; j++) { for (int k = n >> 1; k > (i ^= k); k >>= 1); if (j < i) swap(a[i], a[j]); } for (int i = 1; i < n; i *= 2) { for (int j = 0; j < n; j += i * 2) { for (int k = 0; k < i; k++) { mint s = a[j + k]; mint t = a[j + k + i] * rots[i + k]; a[j + k ] = s + t; a[j + k + i] = s - t; } } } } void invntt(vector &a) { const int n = a.size(); ntt(a); reverse(a.begin() + 1, a.end()); mint inv_n = modinv(n); for (int i = 0; i < n; i++) { a[i] *= inv_n; } } vector convolution(vector a, vector b) { const int n = a.size() + b.size() - 1; int t = 1; while (t < n) t *= 2; a.resize(t); b.resize(t); ntt(a); ntt(b); for (int i = 0; i < t; i++) { a[i] *= b[i]; } invntt(a); a.resize(n); return a; } }; NTT<1 << 21> fft; typedef vector poly; poly operator-(poly a) { for (int i = 0; i < a.size(); i++) { a[i] = -a[i]; } return a; } poly operator+(poly a, mint b) { a[0] += b; return a; } poly operator+(poly a, poly b) { assert(a.size() == b.size()); for (int i = 0; i < a.size(); i++) { a[i] += b[i]; } return a; } poly operator*(poly a, poly b) { assert(a.size() == b.size()); const int n = a.size(); a = fft.convolution(a, b); a.resize(n); return a; } poly operator*(poly a, mint b) { for (int i = 0; i < a.size(); i++) { a[i] *= b; } return a; } poly operator-(poly a, poly b) { assert(a.size() == b.size()); for (int i = 0; i < a.size(); i++) { a[i] -= b[i]; } return a; } poly &operator+=(poly &a, poly b) { return a = a + b; } poly &operator-=(poly &a, poly b) { return a = a - b; } poly cut(poly &a, int n) { assert(n <= a.size()); vector b(n); for (int i = 0; i < n; i++) { b[i] = a[i]; } return b; } // g = 1 / f // 1 / g - f = 0 // g <- g - (1 / g - f) / (- 1 / g^2) // g <- g * (2 - fg) poly pinv(poly a) { const int n = a.size(); poly x = {modinv(a[0])}; for (int i = 1; i < n; i *= 2) { const int m = min(i * 2, n); x.resize(m); x = (-cut(a, m) * x + 2) * x; } return x; } vector F_{1, 1}, R_{1, 1}, I_{0, 1}; void check_fact(int n) { for (int i = I_.size(); i <= n; i++) { I_.push_back(I_[MOD % i] * (MOD - MOD / i)); F_.push_back(F_[i - 1] * i); R_.push_back(R_[i - 1] * I_[i]); } } mint I(int n) { check_fact(abs(n)); return n >= 0 ? I_[n] : -I_[-n]; } mint F(int n) { check_fact(n); return n < 0 ? 0 : F_[n]; } mint R(int n) { check_fact(n); return n < 0 ? 0 : R_[n]; } mint C(int n, int r) { return F(n) * R(n - r) * R(r); } mint P(int n, int r) { return F(n) * R(n - r); } mint H(int n, int r) { return n == 0 ? (r == 0) : C(n + r - 1, r); } mint alt(int n) { return n % 2 == 0 ? 1 : MOD - 1; } vector pcos(int n) { vector res(n); for (int i = 0; i < n; i += 2) { res[i] = alt(i / 2) * R(i); } return res; } vector psin(int n) { vector res(n); for (int i = 1; i < n; i += 2) { res[i] = alt(i / 2) * R(i); } return res; } vector ptan(int n) { return psin(n) * pinv(pcos(n)); } int main() { int N; cin >> N; auto ans = ptan(N + 1) + pinv(pcos(N + 1)); cout << ans[N] * F(N) * 2 << endl; }