#include #define ll long long #define INF 1000000005 #define MOD 1000000007 #define EPS 1e-10 #define rep(i,n) for(int i=0;i<(int)n;++i) #define each(a, b) for(auto (a): (b)) #define all(v) (v).begin(),(v).end() #define fi first #define se second #define pb push_back #define show(x) cout <<#x<<" = "<<(x)<P; const int MAX_N = 100005; template class ModInt { private: unsigned int v; static unsigned int norm(const unsigned int& x){ return x < mod ? x : x - mod; } static ModInt make(const unsigned int& x){ ModInt m; return m.v = x, m; } static ModInt inv(const ModInt& x){ return make(inverse(x.v, mod)); } static unsigned int inverse(int a, int m){ int u[] = {a, 1, 0}, v[] = {m, 0, 1}, t; while(*v){ t = *u / *v; swap(u[0] -= t * v[0], v[0]), swap(u[1] -= t * v[1], v[1]), swap(u[2] -= t * v[2], v[2]); } return (u[1] % m + m) % m; } public: ModInt() : v{0}{} ModInt(const long long val) : v{norm(val % mod + mod)} {} ModInt(const ModInt& n) : v{n()} {} explicit operator bool() const noexcept { return v != 0; } bool operator!() const noexcept { return !static_cast(*this); } ModInt& operator=(const ModInt& n){ return v = n(), (*this); } ModInt& operator=(const long long val){ return v = norm(val % mod + mod), (*this); } ModInt operator+() const { return *this; } ModInt operator-() const { return v == 0 ? make(0) : make(mod - v); } ModInt operator+(const ModInt& val) const { return make(norm(v + val())); } ModInt operator-(const ModInt& val) const { return make(norm(v + mod - val())); } ModInt operator*(const ModInt& val) const { return make((long long)v * val() % mod); } ModInt operator/(const ModInt& val) const { return *this * inv(val); } ModInt& operator+=(const ModInt& val){ return *this = *this + val; } ModInt& operator-=(const ModInt& val){ return *this = *this - val; } ModInt& operator*=(const ModInt& val){ return *this = *this * val; } ModInt& operator/=(const ModInt& val){ return *this = *this / val; } ModInt operator+(const long long val) const { return ModInt{v + val}; } ModInt operator-(const long long val) const { return ModInt{v - val}; } ModInt operator*(const long long val) const { return ModInt{(long long)(v * (val % mod))}; } ModInt operator/(const long long val) const { return ModInt{(long long)v * inv(val)}; } ModInt& operator+=(const long long val){ return *this = *this + val; } ModInt& operator-=(const long long val){ return *this = *this - val; } ModInt& operator*=(const long long val){ return *this = *this * val; } ModInt& operator/=(const long long val){ return *this = *this / val; } bool operator==(const ModInt& val) const { return v == val.v; } bool operator!=(const ModInt& val) const { return !(*this == val); } bool operator==(const long long val) const { return v == norm(val % mod + mod); } bool operator!=(const long long val) const { return !(*this == val); } unsigned int operator()() const { return v; } friend ModInt operator+(const long long val, const ModInt& n) { return n + val; } friend ModInt operator-(const long long val, const ModInt& n) { return ModInt{val - n()}; } friend ModInt operator*(const long long val, const ModInt& n) { return n * val; } friend ModInt operator/(const long long val, const ModInt& n) { return ModInt{val} / n; } friend bool operator==(const long long val, const ModInt& n) { return n == val; } friend bool operator!=(const long long val, const ModInt& n) { return !(val == n); } friend istream& operator>>(istream& is, ModInt& n){ unsigned int v; return is >> v, n = v, is; } friend ostream& operator<<(ostream& os, const ModInt& n){ return (os << n()); } friend ModInt mod_pow(ModInt x, long long n){ ModInt ans = ((mod == 1) ? 0 : 1); while(n){ if(n & 1) ans *= x; x *= x, n >>= 1; } return ans; } }; using mod = ModInt; template class mat : public vector > { private: int r, c; //行,列 public: inline int row() const { return r; } inline int column() const { return c; } mat(int n, int m, T val = 0){ r = n, c = m; for(int i = 0; i < n; i++){ this->push_back(vector(m, val)); } } mat operator+(const mat& another) const { if(r != another.r && c != another.c){ cout << "足し算失敗(サイズ不一致)" << endl; exit(1); } mat X(r, c); for(int i = 0; i < r; i++){ for(int j = 0; j < c; j++){ X[i][j] = (*this)[i][j] + another[i][j]; } } return X; } mat operator+(const T val) const { mat X(r, c); for(int i = 0; i < r; i++){ for(int j = 0; j < c; j++){ X[i][j] = (*this)[i][j] + val; } } return X; } mat operator-(const mat& another) const { if(r != another.r && c != another.c){ cout << "引き算失敗(サイズ不一致)" << endl; exit(1); } mat X(r, c); for(int i = 0; i < r; i++){ for(int j = 0; j < c; j++){ X[i][j] = (*this)[i][j] - another[i][j]; } } return X; } mat operator-(const T val) const { mat X(r, c); for(int i = 0; i < r; i++){ for(int j = 0; j < c; j++){ X[i][j] = (*this)[i][j] - val; } } return X; } vector operator*(const vector& another) const { if(c != (int)another.size()){ cout << "掛け算失敗(サイズ不一致)" << endl; exit(1); } vector vec(r,0); for(int i = 0; i < r; i++){ for(int j = 0; j < c; j++){ vec[i] += (*this)[i][j] * another[j]; } } return vec; } mat operator*(const mat& another) const { if(c != another.r){ cout << "掛け算失敗(サイズ不一致)" << endl; exit(1); } mat X(r, another.c); for(int i = 0; i < r; i++){ for(int k = 0; k < c; k++){ for(int j = 0; j < (another.c); j++){ X[i][j] += (*this)[i][k] * another[k][j]; } } } return X; } mat operator-() const { mat X(r, c); for(int i = 0; i < r; i++){ for(int j = 0; j < c; j++){ X[i][j] = -(*this)[i][j]; } } return X; } int rank() const { int res = 0; mat B(r, c); for(int i = 0; i < r; i++){ for(int j = 0; j < c; j++){ B[i][j] = (*this)[i][j]; } } for(int i = 0; i < c; i++){ if(res == r) return res; int pivot = res; for(int j = res; j < r; j++){ if(B[j][i]){ pivot = j; break; } } if(!B[pivot][i]) continue; swap(B[pivot], B[res]); const T d = (T)1 / B[res][i]; for(int j = i + 1; j < c; j++){ B[res][j] *= d; } for(int j = res + 1; j < r; j++){ for(int k = i + 1; k < c; k++){ B[j][k] -= B[res][k] * B[j][i]; } } ++res; } return res; } T det() const { if(r != c){ cout << "正方行列でない(行列式定義不可)" << endl; exit(1); } T ans = 1; mat B(r, r); for(int i = 0; i < r; i++){ for(int j = 0; j < c; j++){ B[i][j] = (*this)[i][j]; } } for(int i = 0; i < c; i++){ int pivot = i; for(int j = i; j < r; j++){ if(B[j][i]){ pivot = j; break; } } if(!B[pivot][i]) return (T)0; if(pivot != i) swap(B[i], B[pivot]), ans = -ans; ans *= B[i][i]; const T d = (T)1 / B[i][i]; for(int j = i + 1; j < c; j++){ B[i][j] *= d; } for(int j = i + 1; j < r; j++){ for(int k = i + 1; k < c; k++){ B[j][k] -= B[i][k] * B[j][i]; } } } return ans; } mat inverse() const { if(r != c){ cout << "正方行列でない(逆行列定義不可)" << endl; exit(1); } mat B(r, 2*r); for(int i = 0; i < r; i++){ for(int j = 0; j < r; j++){ B[i][j] = (*this)[i][j]; } } for(int i = 0; i < r; i++){ B[i][r+i] = 1; } for(int i = 0; i < r; i++){ int pivot = i; for(int j = i; j < r; j++){ if(B[j][i]){ pivot = j; break; } } if(!B[pivot][i]){ cout << "正則でない" << endl; exit(1); } swap(B[i], B[pivot]); const T d = (T)1 / B[i][i]; for(int j = i + 1; j < 2*r; j++){ B[i][j] *= d; } for(int j = 0; j < r; j++){ if(i != j){ for(int k = i + 1; k < 2*r; k++){ B[j][k] -= B[i][k] * B[j][i]; } } } } mat res(r, r); for(int i = 0; i < r; i++){ for(int j = 0; j < r; j++){ res[i][j] = B[i][r+j]; } } return res; } inline void print() const { for(int i = 0; i < r; i++){ for(int j = 0; j < (c-1); j++){ cout << (*this)[i][j] << ","; } cout << (*this)[i][c-1] << endl; } } }; template vector eq_solve(const mat& A, const vector& b){ if(A.row() != A.column()){ cout << "正方行列でない(解なしor不定)" << endl; exit(1); } int n = A.row(); mat B(n, n+1); for(int i = 0; i < n; i++){ for(int j = 0; j < n; j++){ B[i][j] = A[i][j]; } } for(int i = 0; i < n; i++){ B[i][n] = b[i]; } for(int i = 0; i < n; i++){ int pivot = i; for(int j = i; j < n; j++){ if(B[j][i]){ pivot = j; break; } } if(!B[pivot][i]){ cout << "解なしor不定" << endl; exit(1); } swap(B[i], B[pivot]); const T d = (T)1 / B[i][i]; for(int j = i + 1; j <= n; j++){ B[i][j] *= d; } for(int j = 0; j < n; j++){ if(i != j){ for(int k = i + 1; k <= n; k++){ B[j][k] -= B[i][k] * B[j][i]; } } } } vector res(n); for(int i = 0; i < n; i++){ res[i] = B[i][n]; } return res; } template mat pow(mat A, long long cnt) { if(A.row() != A.column()){ cout << "累乗不可" << endl; } int n = A.row(); mat B(n, n); for(int i = 0; i < n; i++){ B[i][i] = 1; } while(cnt > 0){ if(cnt & 1) B = B * A; A = A * A; cnt >>= 1; } return B; } string m[12] = { "111100001111", "111100000011", "111111000000", "111111110000", "100011000000", "100011100000", "110001110000", "110000110000", "001100001100", "001100001110", "000100000111", "000100000011" }; int main() { ll n; cin >> n; mat mt(12,12); rep(i,12){ rep(j,12){ mt[i][j] = (int)(m[i][j] - '0'); } } mat mt2 = pow(mt,n); mod ans = 0; rep(i,8){ ans += mt2[i][0]; } cout << ans << endl; }