#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 mat : public vector > { private: int r,c; //行,列 public: int row() const { return r; } 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){ 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){ 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){ 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){ 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){ 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){ 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-(){ 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(){ 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 + 1; j < r; j++){ if(abs(B[j][i]) > abs(B[pivot][i])){ pivot = j; } } if(abs(B[pivot][i]) < EPS) continue; swap(B[pivot],B[res]); for(int j = i + 1; j < c; j++){ B[res][j] /= B[res][i]; } 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(){ 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 < r; j++){ B[i][j] = (*this)[i][j]; } } for(int i = 0; i < r; i++){ for(int j = i + 1; j < r; j++){ for (; B[j][i] != 0; ans = -ans) { T r = B[i][i] / B[j][i]; for(int k = i; k < r; k++) { T t = B[i][k] - r * B[j][k]; B[i][k] = B[j][k]; B[j][k] = t; } } } ans *= B[i][i]; } return ans; } mat inverse(){ 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(abs(B[j][i]) > abs(B[pivot][i])){ pivot = j; } } if(abs(B[pivot][i]) < EPS){ cout << "解なしor不定" << endl; exit(1); } swap(B[i],B[pivot]); for(int j = i + 1; j <= 2*r; j++){ B[i][j] /= B[i][i]; } for(int j = 0; j < r; j++){ if(i != j){ for(int k = i + 1; k <= 2*r; k++){ B[j][k] -= B[j][i] * B[i][k]; } } } } 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; } void print(){ 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 abs(B[pivot][i])){ pivot = j; } } if(abs(B[pivot][i]) < EPS){ cout << "解なしor不定" << endl; exit(1); } swap(B[i],B[pivot]); for(int j=i+1;j<=n;j++){ B[i][j] /= B[i][i]; } for(int j = 0; j < n; j++){ if(i != j){ for(int k=i+1;k<=n;k++){ B[j][k] -= B[j][i] * B[i][k]; } } } } 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; } template mat mod_mul(mat& A,mat& B) { if(A.column() != B.row()){ cout << "掛け算失敗(サイズ不一致)" << endl; exit(1); } mat X(A.row(),B.column()); for(int i = 0; i < A.row(); i++){ for(int k = 0; k < A.column(); k++){ for(int j = 0; j < B.column(); j++){ X[i][j] = (X[i][j] + A[i][k]*B[k][j]) % MOD; } } } return X; } template mat mod_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 = mod_mul(B,A); } A = mod_mul(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] = m[i][j] - '0'; } } mat mt2 = mod_pow(mt,n); ll ans = 0; rep(i,8){ ans = (ans + mt2[i][0]) % MOD; } cout << ans << endl; }