#include using namespace std; #define int long long #define stoi stoll using ll=long long; using vi=vector; using pii=pair; #define ALL(c) begin(c),end(c) #define RALL(c) rbegin(c),rend(c) #define ITR(i,b,e) for(auto i=(b);i!=(e);++i) #define FORE(x,c) for(auto &&x:c) #define REPF(i,a,n) for(int i=a,i##len=(int)(n);i=0;--i) #define SZ(c) ((int)c.size()) #define CONTAIN(c,x) (c.find(x)!=end(c)) #define INSEG(l,x,r) ((l)<=(x)&&(x)<(r)) #define dump(...) #define pb push_back #define _ 0 const signed INF_=1001001001; const long long INF=1001001001001001001LL; const int DX[9]={0,1,0,-1,1,1,-1,-1,0},DY[9]={-1,0,1,0,-1,1,1,-1,0}; template ostream& operator<<(ostream &os,const vector &v) { ITR(i,begin(v),end(v))os<<*i<<(i==end(v)-1?"":" ");return os;} template istream& operator>>(istream &is,vector &v) { ITR(i,begin(v),end(v)) is>>*i;return is;} template istream& operator>>(istream &is, pair &p) { is>>p.first>>p.second;return is;} template bool chmax(T &a,const U &b){return a bool chmin(T &a,const U &b){return a>b?a=b,1:0;} template void PSUM(T& c) {partial_sum(begin(c), end(c), begin(c));} template using heap=priority_queue,greater>; struct before_main_function { before_main_function() { cin.tie(0); ios::sync_with_stdio(0); cout << setprecision(15) << fixed; // #define endl "\n" } } before_main_function; //------------------8<------------------------------------8<-------------------- template struct Matrix { using T = typename SR::T; vector> data; Matrix() : Matrix(1, 1, SR::zero()) {} Matrix(vector> &&A) : data(A) {} Matrix(int r, int c, T fill) : data(r, vector(c, fill)) {} int rows() const { return data.size(); } int cols() const { return data[0].size(); } static Matrix multiple(const Matrix &A, const Matrix &B) { assert(A.cols() == B.rows()); Matrix ret(A.rows(), B.cols(), SR::zero()); for (int i = 0; i < A.rows(); ++i) { for (int j = 0; j < B.cols(); ++j) { T tmp = SR::zero(); for (int k = 0; k < A.cols(); ++k) { T p = SR::mul(A.data[i][k], B.data[k][j]); tmp = SR::add(tmp, p); } ret.data[i][j] = tmp; } } return ret; } static Matrix pow(Matrix A, int k) { assert(A.rows() == A.cols()); int n = A.rows(); Matrix ret(n, n, SR::zero()); for (int i = 0; i < n; ++i) ret.data[i][i] = SR::identity(); while (k > 0) { if (k & 1) ret = Matrix::multiple(ret, A); A = Matrix::multiple(A, A); k >>= 1; } return ret; } Matrix operator*(const Matrix &r) { return Matrix::multiple(*this, r); } Matrix& operator*=(const Matrix &r) { return *this = *this * r; } Matrix operator^(int k) { return Matrix::pow(*this, k); } Matrix& operator^=(int k) { return *this = *this ^ k; } }; const int MOD = 1e9 + 7; struct SemiRing { using T = int; static T add(const T &a, const T &b) { return (a + b) % MOD; } static T mul(const T &a, const T &b) { return (a * b) % MOD; } static T zero() { return 0; } static T identity() { return 1; } }; signed main() { int N; cin >> N; if (N == 1) { cout << 13 << endl; return 0; } Matrix A(2, 2, 0); A.data[0][0] = 10; A.data[0][1] = 3; A.data[1][1] = 1; Matrix b(2, 1, 0); b.data[0][0] = 13; b.data[1][0] = 1; A ^= N - 1; auto ans = A * b; cout << ans.data[0][0] << endl; return (0^_^0); }