#define _USE_MATH_DEFINES #include using namespace std; #define FOR(i,m,n) for(int i=(m);i<(n);++i) #define REP(i,n) FOR(i,0,n) #define ALL(v) (v).begin(),(v).end() using ll = long long; template using posteriority_queue = priority_queue, greater >; const int INF = 0x3f3f3f3f; const ll LINF = 0x3f3f3f3f3f3f3f3fLL; const double EPS = 1e-8; const int MOD = 1000000007; // const int MOD = 998244353; const int dy[] = {1, 0, -1, 0}, dx[] = {0, -1, 0, 1}; const int dy8[] = {1, 1, 0, -1, -1, -1, 0, 1}, dx8[] = {0, -1, -1, -1, 0, 1, 1, 1}; template inline bool chmax(T &a, U b) { return a < b ? (a = b, true) : false; } template inline bool chmin(T &a, U b) { return a > b ? (a = b, true) : false; } template void unique(vector &a) { a.erase(unique(ALL(a)), a.end()); } struct IOSetup { IOSetup() { cin.tie(nullptr); ios_base::sync_with_stdio(false); cout << fixed << setprecision(20); } } iosetup; template function(const vector&, const vector&)> mul = [](const vector &a, const vector &b) { int n = a.size(), m = b.size(); vector res(n + m - 1, T(0)); REP(i, n) REP(j, m) res[i + j] += a[i] * b[j]; return res; }; template function sqr = [](const T &a, T &res) { return false; }; template struct FPS { vector co; FPS(int deg = 0) : co(deg + 1, T(0)) {} FPS(const vector &co) : co(co) {} FPS(initializer_list init) : co(init.begin(), init.end()) {} template FPS(InputIter first, InputIter last) : co(first, last) {} inline const T &operator[](int term) const { return co[term]; } inline T &operator[](int term) { return co[term]; } void resize(int deg) { int prev = co.size(); co.resize(deg + 1); if (prev < deg + 1) fill(co.begin() + prev, co.end(), T(0)); } void shrink() { while (co.size() > 1 && co.back() == T(0)) co.pop_back(); } int degree() const { return static_cast(co.size()) - 1; } FPS &operator=(const vector &new_co) { co.resize(new_co.size()); copy(ALL(new_co), co.begin()); return *this; } FPS &operator=(const FPS &x) { co.resize(x.co.size()); copy(ALL(x.co), co.begin()); return *this; } FPS &operator+=(const FPS &x) { int n = x.co.size(); if (n > co.size()) resize(n - 1); REP(i, n) co[i] += x.co[i]; return *this; } FPS &operator-=(const FPS &x) { int n = x.co.size(); if (n > co.size()) resize(n - 1); REP(i, n) co[i] -= x.co[i]; return *this; } FPS &operator*=(T x) { for (T &e : co) e *= x; return *this; } FPS &operator*=(const FPS &x) { return *this = mul(co, x.co); } FPS &operator/=(T x) { assert(x != T(0)); T inv_x = T(1) / x; for (T &e : co) e *= inv_x; return *this; } FPS &operator/=(const FPS &x) { if (x.co.size() > co.size()) return *this = FPS(); int n = co.size() - x.co.size() + 1; FPS a(co.rbegin(), co.rbegin() + n), b(x.co.rbegin(), x.co.rbegin() + min(static_cast(x.co.size()), n)); b = b.inv(n - 1); a *= b; return *this = FPS(a.co.rend() - n, a.co.rend()); } FPS &operator%=(const FPS &x) { *this -= *this / x * x; co.resize(static_cast(x.co.size()) - 1); if (co.empty()) co = {T(0)}; return *this; } FPS &operator<<=(int n) { co.insert(co.begin(), n, T(0)); return *this; } FPS &operator>>=(int n) { if (co.size() < n) return *this = FPS(); co.erase(co.begin(), co.begin() + n); return *this; } bool operator==(const FPS &x) const { FPS a(*this), b(x); a.shrink(); b.shrink(); int n = a.co.size(); if (n != b.co.size()) return false; REP(i, n) if (a.co[i] != b.co[i]) return false; return true; } bool operator!=(const FPS &x) const { return !(*this == x); } FPS operator+() const { return *this; } FPS operator-() const { FPS res(*this); for (T &e : res.co) e = T(-e); return res; } FPS operator+(const FPS &x) const { return FPS(*this) += x; } FPS operator-(const FPS &x) const { return FPS(*this) -= x; } FPS operator*(T x) const { return FPS(*this) *= x; } FPS operator*(const FPS &x) const { return FPS(*this) *= x; } FPS operator/(T x) const { return FPS(*this) /= x; } FPS operator/(const FPS &x) const { return FPS(*this) /= x; } FPS operator%(const FPS &x) const { return FPS(*this) %= x; } FPS operator<<(int n) const { return FPS(*this) <<= n; } FPS operator>>(int n) const { return FPS(*this) >>= n; } T horner(T val) const { T res = T(0); for (int i = static_cast(co.size()) - 1; i >= 0; --i) (res *= val) += co[i]; return res; } FPS differential() const { int n = co.size(); assert(n >= 1); FPS res(n - 1); FOR(i, 1, n) res.co[i - 1] = co[i] * T(i); return res; } FPS integral() const { int n = co.size(); FPS res(n + 1); REP(i, n) res[i + 1] = co[i] / T(i + 1); return res; } FPS exp(int deg = -1) const { assert(co[0] == T(0)); if (deg == -1) deg = static_cast(co.size()) - 1; FPS one({T(1)}), res = one; for (int i = 1; i <= deg; i <<= 1) { res *= FPS(co.begin(), co.begin() + min(static_cast(co.size()), i << 1)) - res.log((i << 1) - 1) + one; res.co.resize(i << 1); } res.co.resize(deg + 1); return res; } FPS inv(int deg = -1) const { assert(co[0] != T(0)); if (deg == -1) deg = static_cast(co.size()) - 1; FPS res({T(1) / co[0]}); for (int i = 1; i <= deg; i <<= 1) { res = res + res - res * res * FPS(co.begin(), co.begin() + min(static_cast(co.size()), i << 1)); res.co.resize(i << 1); } res.co.resize(deg + 1); return res; } FPS log(int deg = -1) const { assert(co[0] == T(1)); if (deg == -1) deg = static_cast(co.size()) - 1; FPS integrand = differential() * inv(deg - 1); integrand.co.resize(deg); return integrand.integral(); } FPS pow(ll exponent, int deg = -1) const { int n = co.size(); if (deg == -1) deg = n - 1; REP(i, n) { if (co[i] != T(0)) { ll shift = exponent * i; if (shift > deg) break; T tmp = 1, base = co[i]; ll e = exponent; while (e > 0) { if (e & 1) tmp *= base; base *= base; e >>= 1; } return ((((*this >> i) * (T(1) / co[i])).log(deg - shift) * T(exponent)).exp(deg - shift) * tmp) << shift; } } return FPS(deg); } FPS mod_pow(ll exponent, const FPS &md) const { FPS inv_rev_md = FPS(md.co.rbegin(), md.co.rend()).inv(); int deg_of_md = md.co.size(); function mod_mul = [&](FPS &multiplicand, const FPS &multiplier) { multiplicand *= multiplier; if (deg_of_md <= multiplicand.co.size()) { int n = multiplicand.co.size() - deg_of_md + 1; FPS quotient = FPS(multiplicand.co.rbegin(), multiplicand.co.rbegin() + n) * FPS(inv_rev_md.co.begin(), inv_rev_md.co.begin() + min(static_cast(inv_rev_md.co.size()), n)); multiplicand -= FPS(quotient.co.rend() - n, quotient.co.rend()) * md; } multiplicand.co.resize(deg_of_md - 1); if (multiplicand.co.empty()) multiplicand.co = {T(0)}; }; FPS res({T(1)}), base = *this; mod_mul(base, res); while (exponent > 0) { if (exponent & 1) mod_mul(res, base); mod_mul(base, base); exponent >>= 1; } return res; } FPS sqrt(int deg = -1) const { int n = co.size(); if (deg == -1) deg = n - 1; if (co[0] == T(0)) { FOR(i, 1, n) { if (co[i] == T(0)) continue; if (i & 1) return FPS(-1); int shift = i >> 1; if (deg < shift) break; FPS res = (*this >> i).sqrt(deg - shift); if (res.co.empty()) return FPS(-1); res <<= shift; res.resize(deg); return res; } return FPS(deg); } T s; if (!sqr(co[0], s)) return FPS(-1); FPS res({s}); T half = T(1) / T(2); for (int i = 1; i <= deg; i <<= 1) { (res += FPS(co.begin(), co.begin() + min(static_cast(co.size()), i << 1)) * res.inv((i << 1) - 1)) *= half; } res.resize(deg); return res; } FPS translate(T c) const { int n = co.size(); vector fact(n, T(1)), inv_fact(n, T(1)); FOR(i, 1, n) fact[i] = fact[i - 1] * T(i); inv_fact[n - 1] = T(1) / fact[n - 1]; for (int i = n - 1; i > 0; --i) inv_fact[i - 1] = inv_fact[i] * T(i); vector g(n), ex(n); REP(i, n) g[n - 1 - i] = co[i] * fact[i]; T pow_c = T(1); REP(i, n) { ex[i] = pow_c * inv_fact[i]; pow_c *= c; } vector conv = mul(g, ex); FPS res(n - 1); REP(i, n) res[i] = conv[n - 1 - i] * inv_fact[i]; return res; } }; int main() { int n; cin >> n; FPS fps(6 * n); REP(i, n + 1) fps[i] = 1; FPS ans = fps; FOR(_, 1, 8) ans *= fps; cout << ans[6 * n] << '\n'; return 0; }