//四則演算 #pragma GCC target("avx") //並列計算 #pragma GCC optimize("O3") //条件分岐を減らす #pragma GCC optimize("unroll-loops") //浮動小数点演算 #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native") #include using namespace std; using ll = long long; using ld = long double; using VI = vector; using VL = vector; using VS = vector; template using PQ = priority_queue, greater>; #define FOR(i,a,n) for(int i=(a);i<(n);++i) #define eFOR(i,a,n) for(int i=(a);i<=(n);++i) #define rFOR(i,a,n) for(int i=(n)-1;i>=(a);--i) #define erFOR(i,a,n) for(int i=(n);i>=(a);--i) #define each(i, a) for(auto &i : a) #define SORT(i) sort(i.begin(),i.end()) #define rSORT(i) sort(i.rbegin(),i.rend()) #define fSORT(i,a) sort(i.begin(),i.end(),a) #define all(i) i.begin(),i.end() #define out(y,x) ((y)<0||h<=(y)||(x)<0||w<=(x)) #define line cout << "-----------------------------\n" #define ENDL(i,n) ((i) == (n) - 1 ? "\n" : " ") constexpr ll INF = 1000000000; constexpr ll LLINF = 1LL << 60; constexpr ll mod = 1000000007; constexpr ll MOD = 998244353; constexpr ld eps = 1e-10; constexpr ld pi = 3.1415926535897932; templateinline bool chmax(T& a, const T& b) { if (a < b) { a = b; return true; }return false; } templateinline bool chmin(T& a, const T& b) { if (a > b) { a = b; return true; }return false; } inline void init() { cin.tie(nullptr); cout.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); } templateinline istream& operator>>(istream& is, vector& v) { for (auto& a : v)is >> a; return is; } templateinline istream& operator>>(istream& is, deque& v) { for (auto& a : v)is >> a; return is; } templateinline istream& operator>>(istream& is, pair& p) { is >> p.first >> p.second; return is; } templateinline vector vec(size_t a) { return vector(a); } templateinline vector defvec(T def, size_t a) { return vector(a, def); } templateinline auto vec(size_t a, Ts... ts) { return vector(ts...))>(a, vec(ts...)); } templateinline auto defvec(T def, size_t a, Ts... ts) { return vector(def, ts...))>(a, defvec(def, ts...)); } templateinline void print(const T& a) { cout << a << "\n"; } templateinline void print(const T& a, const Ts&... ts) { cout << a << " "; print(ts...); } templateinline void print(const vector& v) { for (int i = 0; i < v.size(); ++i)cout << v[i] << (i == v.size() - 1 ? "\n" : " "); } templateinline void print(const vector>& v) { for (auto& a : v)print(a); } inline string reversed(const string& s) { string t = s; reverse(all(t)); return t; } template struct ModInt { int x; ModInt() : x(0) {} ModInt(long long y) : x(y >= 0 ? y % modulo : (modulo - (-y) % modulo) % modulo) {} ModInt& operator+=(const ModInt& p) { if ((x += p.x) >= modulo) x -= modulo; return *this; } ModInt& operator-=(const ModInt& p) { if ((x += modulo - p.x) >= modulo) x -= modulo; return *this; } ModInt& operator*=(const ModInt& p) { x = (int)(1LL * x * p.x % modulo); return *this; } ModInt& operator/=(const ModInt& p) { *this *= p.inverse(); return *this; } ModInt operator-() const { return ModInt(-x); } ModInt operator+(const ModInt& p) const { return ModInt(*this) += p; } ModInt operator-(const ModInt& p) const { return ModInt(*this) -= p; } ModInt operator*(const ModInt& p) const { return ModInt(*this) *= p; } ModInt operator/(const ModInt& p) const { return ModInt(*this) /= p; } bool operator==(const ModInt& p) const { return x == p.x; } bool operator!=(const ModInt& p) const { return x != p.x; } ModInt inverse() const { int a = x, b = modulo, u = 1, v = 0, t; while (b > 0) { t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } return ModInt(u); } ModInt pow(int e) { long long a = 1, p = x; while (e > 0) { if (e % 2 == 0) { p = (p * p) % modulo; e /= 2; } else { a = (a * p) % modulo; e--; } } return ModInt(a); } friend ostream& operator<<(ostream& os, const ModInt& p) { return os << p.x; } friend istream& operator>>(istream& is, ModInt& a) { long long x; is >> x; a = ModInt(x); return (is); } }; using modint = ModInt; struct matrix { int n, m; vector> dat; matrix(const vector>& _a) : dat(_a) { n = dat.size(), m = dat.front().size(); } matrix(const int& _n, const int& _m) : n(_n), m(_m) { dat = vec(n, m); } matrix() {} matrix operator*=(const matrix& a) { assert(m == a.n); matrix ret(vec(n, a.m)); FOR(i, 0, n)FOR(k, 0, m)FOR(j, 0, a.m) { ret[i][j] += dat[i][k] * a.dat[k][j]; } return *this = ret; } matrix operator*(const matrix& a) { return matrix(*this) *= a; } matrix pow(ll k) const { assert(n == m); matrix ret(vec(n, n)), a(dat); FOR(i, 0, n)ret[i][i] = 1; for (; 0 < k; k >>= 1) { if (k & 1)ret *= a; a *= a; } return ret; } modint sum() const { modint ret = 0; FOR(i, 0, n)FOR(j, 0, m) { ret += dat[i][j]; } return ret; } vector& operator[](int i) { return dat[i]; } }; int main() { init(); ll n; cin >> n; matrix a(vec(6, 6)); a[0].assign(6, modint(6).inverse()); FOR(i, 0, 5)a[i + 1][i] = 1; print(a.pow(n)[0][0]); return 0; }