#include #include #include #include #include #include #include #include #include static const int MOD = 1000000007; using ll = long long; using u32 = unsigned; using u64 = unsigned long long; using namespace std; template constexpr T INF = ::numeric_limits::max()/32*15+208; template struct modint{ u32 val; modint(): val(0){} template modint(T t){t %= (T)M; if(t < 0) t += (T)M; val = t;} modint pow(ll k) const { modint res(1), x(val); while(k){ if(k&1) res *= x; x *= x; k >>= 1; } return res; } template modint& operator=(T t){t %= (T)M; if(t < 0) t += (T)M; val = t; return *this;} modint inv() const {return pow(M-2);} modint& operator+=(modint a){val += a.val; if(val >= M) val -= M; return *this;} modint& operator-=(modint a){if(val < a.val) val += M-a.val; else val -= a.val; return *this;} modint& operator*=(modint a){val = (u64)val*a.val%M; return *this;} modint& operator/=(modint a){return (*this) *= a.inv();} modint operator+(modint a) const {return modint(val) +=a;} modint operator-(modint a) const {return modint(val) -=a;} modint operator*(modint a) const {return modint(val) *=a;} modint operator/(modint a) const {return modint(val) /=a;} modint operator-(){return modint(M-val);} bool operator==(const modint a) const {return val == a.val;} bool operator!=(const modint a) const {return val != a.val;} bool operator<(const modint a) const {return val < a.val;} }; using mint = modint; template struct SquareMatrix { using T = typename H::T; using ar = array; using mat = array; mat A; SquareMatrix() = default; static SquareMatrix I(){ SquareMatrix X{}; for (int i = 0; i < SIZE; ++i) { for (int j = 0; j < SIZE; ++j) { if(i == j) X[i][j] = H::one(); else X[i][j] = H::zero(); } } return X; } friend ar operator*=(ar &x, const SquareMatrix &Y) { ar ans{}; for (int i = 0; i < SIZE; ++i) { for (int j = 0; j < SIZE; ++j) { H::add(ans[j], H::mul(x[i], Y[i][j])); } } x.swap(ans); return x; } friend ar operator*(ar x, const SquareMatrix &Y) { return x *= Y; } inline const ar &operator[](int k) const{ return (A.at(k)); } inline ar &operator[](int k) { return (A.at(k)); } SquareMatrix &operator+= (const SquareMatrix &B){ for (int i = 0; i < SIZE; ++i) { for (int j = 0; j < SIZE; ++j) { H::add((*this)[i][j], B[i][j]); } } return (*this); } SquareMatrix &operator-= (const SquareMatrix &B){ for (int i = 0; i < SIZE; ++i) { for (int j = 0; j < SIZE; ++j) { H::add((*this)[i][j], -B[i][j]); } } return (*this); } SquareMatrix &operator*=(const SquareMatrix &B) { SquareMatrix C{}; for (int i = 0; i < SIZE; ++i) { for (int k = 0; k < SIZE; ++k) { for (int j = 0; j < SIZE; ++j) { H::add(C[i][j], H::mul((*this)[i][k], B[k][j])); } } } A.swap(C.A); return (*this); } SquareMatrix pow(ll n) const { SquareMatrix a = (*this), res = I(); while(n > 0){ if(n & 1) res *= a; a *= a; n >>= 1; } return res; } SquareMatrix operator+(const SquareMatrix &B) const {return SquareMatrix(*this) += B;} SquareMatrix operator-(const SquareMatrix &B) const {return SquareMatrix(*this) -= B;} SquareMatrix operator*(const SquareMatrix &B) const {return SquareMatrix(*this) *= B;} }; struct SemiRing { using T = mint; static inline T mul(T x, T y){ return x * y; } static inline void add(T &x, T y){ x += y; } static inline T one(){ return 1; } static inline T zero(){ return 0; } }; using ar = array; using mat = SquareMatrix; int main() { mat A; mint x = mint(6).inv(); A[1][0] = A[2][1] = A[3][2] = A[4][3] = A[5][4] = 1; A[0][5] = A[1][5] = A[2][5] = A[3][5] = A[4][5] = A[5][5]= x; ar a{0, 0, 0, 0, 0, 1}; ll n; cin >> n; a *= A.pow(n); printf("%d\n", a.back().val); return 0; }