#include using namespace std; using ll = long long; #define int ll #define rep(i, a) for (int i = 0; (i) < (int) (a); (i)++) #define reps(i, a, b) for (int i = (int) (a); (i) < (int) (b); (i)++) #define rrep(i, a) for (int i = (int) a-1; (i) >= 0; (i)--) #define rreps(i, a, b) for (int i = (int) (a)-1; (i) >= (int) (b); (i)--) #define MP(a, b) make_pair((a), (b)) #define PB(a) push_back((a)) #define all(v) (v).begin(), (v).end() #define PERM(v) next_permutation(all(v)) #define UNIQUE(v) sort(all(v));(v).erase(unique(all(v)), v.end()) #define CIN(type, x) type x;cin >> x #define TRUE__ "CONTINUE" #define FALSE__ "GAMEOVER" #define PRINT(f) if((f)){cout << (TRUE__) << endl;}else{cout << FALSE__ << endl;} #define YES(f) if((f)){cout << "YES" << endl;}else{cout << "NO" << endl;} #define Yes(f) if((f)){cout << "Yes" << endl;}else{cout << "No" << endl;} #define MINV(v) min_element(all(v)) #define MAXV(v) max_element(all(v)) #define MIN3(a, b, c) min(min(a, b), c) #define MIN4(a, b, c, d) min(MIN3(a, b, c), d) #define MIN5(a, b, c, d, e) min(MIN4(a, b, c, d), e) #define MIN6(a, b, c, d, e, f) min(MIN5(a, b, c, d, e), f) #define MAX3(a, b, c) max(max(a, b), c) #define MAX4(a, b, c, d) max(MAX3(a, b, c), d) #define MAX5(a, b, c, d, e) max(MAX4(a, b, c, d), e) #define MAX6(a, b, c, d, e, f) max(MAX5(a, b, c, d, e), f) #define RANGE(a, b, c) ((a) <= (b) && (b) < (c)) #define RANGE2D(a, b, c, d, e, f) (RANGE((a), (c), (e)) && RANGE((b), (d), (f))) #define chmin(a, b) a = min(a, (b)) #define chmin3(a, b, c) a = MIN3(a, (b), (c)) #define chmin4(a, b, c, d) a = MIN4(a, (b), (c), (d)) #define chmin5(a, b, c, d, e) a = MIN5(a, (b), (c), (d), (e)) #define chmin6(a, b, c, d, e, f) a = MIN6(a, (b), (c), (d), (e), (f)) #define chmax(a, b) a = max(a, (b)) #define chmax3(a, b, c) a = MAX3(a, (b), (c)) #define chmax4(a, b, c, d) a = MAX4(a, (b), (c), (d)) #define chmax5(a, b, c, d, e) a = MAX5(a, (b), (c), (d), (e)) #define chmax6(a, b, c, d, e, f) a = MAX6(a, (b), (c), (d), (e), (f)) #define RS resize #define CINV(v, N) do {\ v.RS(N);\ rep(i, N) cin >> v[i];\ } while (0); #define RCINV(v, N) do {\ v.RS(N);\ rrep(i, N) cin >> v[i];\ } while (0); #define fcout cout << fixed << setprecision(12) #define MOD 1000000007 template inline T GET() { T x; cin >> x; return x; } void init(); void solve(); signed main() { init(); solve(); } namespace mylib { using namespace std; static const int mod = 1000000007; struct ModInt { int value; ModInt(int x) : value(x) {} ModInt(void) : value(0) {} inline ModInt& operator+=(const ModInt& rhs) { (*this) += rhs.value; return *this; } inline ModInt& operator+=(const int rhs) { value += rhs; value %= mod; return *this; } inline ModInt& operator-=(const ModInt& rhs) { (*this) -= rhs.value; return *this; } inline ModInt& operator-=(const int rhs) { value += mod - rhs; value %= mod; return *this; } inline ModInt& operator*=(const ModInt& rhs) { (*this) *= rhs.value; return *this; } inline ModInt& operator*=(const int rhs) { long long res = (long long) value * rhs; value = res % mod; return *this; } inline ModInt& operator/=(const ModInt& rhs) { (*this) /= rhs.value; return *this; } inline ModInt& operator/=(const int rhs) { long long res = modpow(rhs); (*this) *= res; return *this; } inline ModInt& operator=(const ModInt& rhs) { (*this) = rhs.value; return *this; } inline ModInt& operator=(const int& rhs) { (*this).value = rhs % mod; return *this; } inline int operator==(const ModInt& rhs) const { return (*this) == rhs.value; } inline int operator==(const int rhs) const { return (*this).value == rhs % mod; } inline int operator!=(const ModInt& rhs) const { return (*this) != rhs.value; } inline int operator!=(const int rhs) const { return (*this).value != rhs % mod; } int modpow(const int val, int p = mod - 2) { if (p == 0) return 1; long long res = 1; if (p % 2) { res = val; } long long t = modpow(val, p / 2); t = t * t % mod; res = res * t % mod; return (int) res; } operator int() const { return value; } }; ostream& operator<<(ostream& lhs, const ModInt& rhs) { lhs << rhs.value; return lhs; } istream& operator>>(istream& lhs, ModInt& rhs) { long long t; lhs >> t; rhs.value = t % mod; return lhs; } const ModInt operator+(const ModInt& lhs, const ModInt& rhs) {return ModInt(lhs) += rhs;} const ModInt operator+(const ModInt& lhs, const int rhs) {return ModInt(lhs) += rhs;} const ModInt operator+(int lhs, const ModInt& rhs) {return ModInt(lhs) += rhs;} const ModInt operator-(const ModInt& lhs, const ModInt& rhs) {return ModInt(lhs) -= rhs;} const ModInt operator-(const ModInt& lhs, const int rhs) {return ModInt(lhs) -= rhs;} const ModInt operator-(int lhs, const ModInt& rhs) {return ModInt(lhs) -= rhs;} const ModInt operator*(const ModInt& lhs, const ModInt& rhs) {return ModInt(lhs) *= rhs;} const ModInt operator*(const ModInt& lhs, const int rhs) {return ModInt(lhs) *= rhs;} const ModInt operator*(int lhs, const ModInt& rhs) {return ModInt(lhs) *= rhs;} const ModInt operator/(const ModInt& lhs, const ModInt& rhs) {return ModInt(lhs) /= rhs;} const ModInt operator/(const ModInt& lhs, const int rhs) {return ModInt(lhs) /= rhs;} const ModInt operator/(int lhs, const ModInt& rhs) {return ModInt(lhs) /= rhs;} const int operator==(int lhs, const ModInt& rhs) {return ModInt(lhs) == rhs;} const int operator!=(int lhs, const ModInt& rhs) {return ModInt(lhs) != rhs;} } using namespace mylib; ModInt mpow(ModInt a, ll b) { if (b == 0) return 1; if (b % 2) { return a * mpow(a, b-1); } ModInt r = mpow(a, b/2); return r * r; } namespace mylib { template struct Matrix { int row; int column; vector> v; vector &operator[](int i) { return (v[i]); } Matrix(int i, int j) { init(i, j); } Matrix() { init(0, 0); } void init(int i, int j) { row = i; column = j; v.RS(i, vector(j, 0)); } Matrix(const Matrix &cp) { row = cp.row; column = cp.column; v = cp.v; } ~Matrix() { } Matrix operator=(const Matrix &a) { row = a.row; column = a.column; v = a.v; return (*this); } Matrix operator+(const Matrix &a) { Matrix r(row, column); for (int i = 0; i < row; i++) { for (int j = 0; j < column; j++) { r.v[i][j] = v[i][j] + a.v[i][j]; } } return (r); } Matrix operator-(const Matrix &a) { Matrix r(row, column); for (int i = 0; i < row; i++) { for (int j = 0; j < column; j++) { r.v[i][j] = v[i][j] - a.v[i][j]; } } return (r); } Matrix operator*(const Matrix &a) { Matrix r(row, a.column); for (int i = 0; i < row; i++) { for (int j = 0; j < a.column; j++) { for (int k = 0; k < column; k++) { r.v[i][j] += v[i][k] * a.v[k][j]; } } } return (r); } Matrix operator*(const int b) { Matrix r(row, column); for (int i = 0; i < row; i++) { for (int j = 0; j < column; j++) { r.v[i][j] = b * v[i][j]; } } return (r); } Matrix operator+(const int b) { Matrix r(row, column); for (int i = 0; i < row; i++) { for (int j = 0; j < column; j++) { r.v[i][j] = b + v[i][j]; } } return (r); } Matrix operator-(const int b) { Matrix r(row, column); for (int i = 0; i < row; i++) { for (int j = 0; j < column; j++) { r.v[i][j] = v[i][j] - b; } } return (r); } void unit_matrix() { int n = row; for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) { v[i][j] = 0; if (i == j) v[i][j] = 1; } } } Matrix accumu_sum() { Matrix r(this->row+1, this->column+1); for (int i = 1; i <= this->row; i++) { for (int j = 1; j <= this->column; j++) { r[i][j] = this->v[i-1][j-1] + r[i-1][j] + r[i][j-1] - r[i-1][j-1]; } } return (r); } T get_sum_accumu(int r1, int c1, int r2, int c2) //半開区間で指定 { return v[r2][c2] + v[r1][c1] - v[r2][c1] - v[r1][c2]; } Matrix transposed() { Matrix t(column, row); for (int i = 0; i < row; i++) { for (int j = 0; j < column; j++) { t[j][i] = v[i][j]; } } return (t); } }; } using namespace mylib; Matrix mpow(Matrix x, ll y) { if (y == 1) { return x; } if (y % 2) { return x * mpow(x, y-1); } auto r = mpow(x, y/2); return r * r; } void init() { int N; cin >> N; if (N == 1) { cout << 13 << endl; return; } Matrix A(2, 2); A[0][0] = 10; A[0][1] = 3; A[1][0] = 0; A[1][1] = 1; A = mpow(A, N-1); Matrix B(2, 1); B[0][0] = 13; B[1][0] = 1; Matrix C(2, 1); C = A * B; cout << C[0][0] << endl; } void solve() { }