#include #include #include #include #include #include #include #include #include #include #include typedef long long ll; typedef unsigned int uint; using namespace std; const ll MOD = 1000000007LL; ll mod(ll a, ll m) { return (a % m + m) % m; } template struct Matrix { vector > val; Matrix(int n = 1, int m = 1) { val.clear(); val.resize(n, vector(m)); } Matrix(int n, int m, T x) { val.clear(); val.resize(n, vector(m, x)); } void init(int n, int m, T x = 0) { val.clear(); val.resize(n, vector(m, x)); } void resize(int n, int m, T x = 0) { val.resize(n); for (int i = 0; i < n; ++i) val[i].resize(m, x); } int size() { return val.size(); } inline vector &operator[](int i) { return val[i]; } friend ostream &operator<<(ostream &s, Matrix M) { s << endl; for (int i = 0; i < M.val.size(); ++i) s << M[i] << endl; return s; } }; template Matrix operator * (Matrix A, Matrix B) { Matrix R(A.size(), B[0].size()); for (int i = 0; i < A.size(); ++i) for (int j = 0; j < B[0].size(); ++j) for (int k = 0; k < B.size(); ++k) R[i][j] = mod(R[i][j] + A[i][k] * B[k][j], MOD); return R; } template vector operator * (Matrix A, vector B) { vector v(A.size()); for (int i = 0; i < A.size(); ++i) for (int k = 0; k < B.size(); ++k) v[i] = (v[i] + A[i][k] * B[k]) % MOD; return v; } template Matrix pow(Matrix A, ll n) { Matrix R(A.size(), A.size()); for (int i = 0; i < A.size(); ++i) R[i][i] = 1; while (n > 0) { if (n & 1) R = R * A; A = A * A; n >>= 1; } return R; } int main() { ll n; cin >> n; Matrix M(3, 3, 0); M[0][0] = 10; M[0][2] = 3; M[1][0] = M[2][2] = 1; vector vec(3, 1); vec[0] = 133; vec[1] = 13; Matrix P = pow(M, n - 1); vector V = P * vec; cout << V[1] << "\n"; return 0; }