#include "bits/stdc++.h" using namespace std; template struct Matrix { vector> A; Matrix(size_t n) : A(n, vector(n, 0)) {} Matrix(size_t h, size_t w) : A(h, vector(w, 0)) {} Matrix(vector> &X) : A(X) {} inline vector &operator[](int idx) {return A[idx];} inline const vector &operator[](int idx) const {return A[idx];} size_t height() const {return A.size();} size_t width() const {return A[0].size();} //ex)auto E = Matrix::E(3); static Matrix E(int n) { Matrix e(n); for (int i = 0; i < n; i++) e[i][i] = 1; return e; } Matrix operator+(const Matrix &B) const { size_t h = this->height(), w = this->width(); assert(h == B.height() && w == B.width()); Matrix C(h, w); for (int i = 0; i < h; i++) for (int j = 0; j < w; j++) { C[i][j] = (*this)[i][j] + B[i][j]; } return C; } Matrix operator-(const Matrix &B) { size_t h = this->height(), w = this->width(); assert(h == B.height() && w == B.width()); Matrix C(h, w); for (int i = 0; i < h; i++) for (int j = 0; j < w; j++) { C[i][j] = (*this)[i][j] - B[i][j]; } return C; } Matrix operator*(const Matrix &B) { size_t h = this->height(), x = this->width(), w = B.width(); assert(x == B.height()); Matrix C(h, w); for (size_t i = 0; i < h; i++) for (size_t k = 0; k < x; k++) for (size_t j = 0; j < w; j++) { C[i][j] += (*this)[i][k] * B[k][j]; } return C; } Matrix &operator+=(const Matrix &B) { return (*this) = (*this) + B; } Matrix &operator-=(const Matrix &B) { return (*this) = (*this) - B; } Matrix &operator*=(const Matrix &B) { return (*this) = (*this) * B; } Matrix power(long k) { auto n = this->height(); assert(k >= 0 && this->width() == n); auto R = Matrix::E(n), C = Matrix(*this); while(k) { if (k&1) R *= C; C *= C; k >>= 1; } return R; } friend ostream &operator<<(ostream &o, const Matrix &A) { for (int i = 0; i < A.height(); i++) { for (int j = 0; j < A.width(); j++) { o << A[i][j] << " "; } o << endl; } return o; } }; template struct Modint { int value; Modint() : value(0) {} Modint(long x) : value(x >= 0 ? x % p : (p + x % p) % p) {} inline Modint &operator+=(const Modint &b) { if ((this->value += b.value) >= p) this->value -= p; return (*this); } inline Modint &operator-=(const Modint &b) { if ((this->value += p - b.value) >= p) this->value -= p; return (*this); } inline Modint &operator*=(const Modint &b) { this->value = (int)((1LL * this->value * b.value) % p); return (*this); } inline Modint &operator/=(const Modint &b) { (*this) *= b.inverse(); return (*this); } Modint operator+(const Modint &b) const { return Modint(*this) += b; } Modint operator-(const Modint &b) const { return Modint(*this) -= b; } Modint operator*(const Modint &b) const { return Modint(*this) *= b; } Modint operator/(const Modint &b) const { return Modint(*this) /= b; } inline Modint &operator++(int) { return (*this) += 1; } inline Modint &operator--(int) { return (*this) -= 1; } inline bool operator==(const Modint &b) const { return this->value == b.value; } inline bool operator!=(const Modint &b) const { return this->value != b.value; } inline bool operator<(const Modint &b) const { return this->value < b.value; } inline bool operator<=(const Modint &b) const { return this->value <= b.value; } inline bool operator>(const Modint &b) const { return this->value > b.value; } inline bool operator>=(const Modint &b) const { return this->value >= b.value; } //requires that "this->value and p are co-prime" // a_i * v + a_(i+1) * p = r_i // r_i = r_(i+1) * q_(i+1) * r_(i+2) // q == 1 (i > 1) // reference: https://atcoder.jp/contests/agc026/submissions/2845729 (line:93) inline Modint inverse() const { assert(this->value != 0); int r0 = p, r1 = this->value, a0 = 0, a1 = 1; while (r1) { int q = r0 / r1; r0 -= q * r1; swap(r0, r1); a0 -= q * a1; swap(a0, a1); } return Modint(a0); } friend istream &operator>>(istream &is, Modint

&a) { long t; is >> t; a = Modint

(t); return is; } friend ostream &operator<<(ostream &os, const Modint

&a) { return os << a.value; } }; const int MOD = 1e9+7; using Int = Modint; void solve() { long N; cin >> N; Matrix A(2), v(2, 1); A[0][0] = 10; A[0][1] = 3; A[1][1] = 1; v[0][0] = 13; v[1][0] = 1; A = A.power(N-1); v = A*v; cout << v[0][0] << endl; } int main(void) { solve(); //cout << "yui(*-v・)yui" << endl; return 0; }