// need #include #include // data structure #include #include #include #include #include #include #include #include //#include //#include //#include //#include #include // stream //#include //#include //#include #include // etc #include #include #include #include #include #include #include // input #define INIT std::ios::sync_with_stdio(false);std::cin.tie(0); #define VAR(type, ...)type __VA_ARGS__;MACRO_VAR_Scan(__VA_ARGS__); template void MACRO_VAR_Scan(T& t) { std::cin >> t; } templatevoid MACRO_VAR_Scan(First& first, Rest&...rest) { std::cin >> first; MACRO_VAR_Scan(rest...); } #define VEC_ROW(type, n, ...)std::vector __VA_ARGS__;MACRO_VEC_ROW_Init(n, __VA_ARGS__); for(int i=0; i void MACRO_VEC_ROW_Init(int n, T& t) { t.resize(n); } templatevoid MACRO_VEC_ROW_Init(int n, First& first, Rest&...rest) { first.resize(n); MACRO_VEC_ROW_Init(n, rest...); } template void MACRO_VEC_ROW_Scan(int p, T& t) { std::cin >> t[p]; } templatevoid MACRO_VEC_ROW_Scan(int p, First& first, Rest&...rest) { std::cin >> first[p]; MACRO_VEC_ROW_Scan(p, rest...); } #define VEC(type, c, n) std::vector c(n);for(auto& i:c)std::cin>>i; #define MAT(type, c, m, n) std::vector> c(m, std::vector(n));for(auto& r:c)for(auto& i:r)std::cin>>i; // output #define OUT(d) std::cout<=(a);--i) #define REP(i, n) for(int i=0;i=0;--i) #define FORLL(i, a, b) for(ll i=ll(a);i=ll(a);--i) #define REPLL(i, n) for(ll i=0;i=0;--i) #define IN(a, x, b) (a<=x && x inline T CHMAX(T& a, const T b) { return a = (a < b) ? b : a; } template inline T CHMIN(T& a, const T b) { return a = (a > b) ? b : a; } #define EXCEPTION(msg) throw std::string("Exception : " msg " [ in ") + __func__ + " : " + std::to_string(__LINE__) + " lines ]" #define TRY(cond, msg) try {if (cond) EXCEPTION(msg);}catch (std::string s) {std::cerr << s << std::endl;} void CHECKTIME(std::function f) { auto start = std::chrono::system_clock::now(); f(); auto end = std::chrono::system_clock::now(); auto res = std::chrono::duration_cast((end - start)).count(); std::cerr << "[Time:" << res << "ns (" << res / (1.0e9) << "s)]\n"; } // test template std::vector> VV(int n) { return std::vector>(n); } template std::vector> VV(int n, int m, T init = T()) { return std::vector>(n, std::vector(m, init)); } template std::ostream& operator<<(std::ostream& os, std::pair p) { os << "(" << p.first << ", " << p.second << ")"; return os; } // type/const #define int ll using ll = long long; using ull = unsigned long long; using ld = long double; using PAIR = std::pair; using PAIRLL = std::pair; constexpr int INFINT = 1 << 30; // 1.07x10^ 9 constexpr int INFINT_LIM = (1LL << 31) - 1; // 2.15x10^ 9 constexpr ll INFLL = 1LL << 60; // 1.15x10^18 constexpr ll INFLL_LIM = (1LL << 62) - 1 + (1LL << 62); // 9.22x10^18 constexpr double EPS = 1e-9; constexpr int MOD = 1000000007; constexpr double PI = 3.141592653589793238462643383279; template class MatrixMOD { private: std::valarray> mat; public: MatrixMOD(size_t m = 0, size_t n = 0, T init = 0) { if (n == 0) n = m; mat.resize(m); for (size_t i = 0; i < m; ++i) mat[i].resize(n, init); } MatrixMOD(std::valarray> a) { mat = a; } MatrixMOD init(size_t m = 0, size_t n = 0, T init = 0) { if (n == 0) n = m; mat.resize(m); for (size_t i = 0; i < m; ++i) mat[i].resize(n, init); return *this; } std::valarray& operator[](size_t i) { return mat[i]; } const std::valarray& operator[](size_t i) const { return mat[i]; } MatrixMOD& operator=(const MatrixMOD& r) { for (size_t i = 0; i < mat.size(); ++i) mat[i] = r[i]; return *this; } MatrixMOD operator+() const { return mat; } MatrixMOD operator-() const { MatrixMOD res(mat.size()); for (size_t i = 0; i < mat.size(); ++i) res[i] = (MOD - mat[i]) %= MOD; return res; } MatrixMOD& operator+=(const MatrixMOD& r) { for (size_t i = 0; i < mat.size(); ++i) (mat[i] += r[i]) %= MOD; return *this; } MatrixMOD& operator+=(const T& x) { for (size_t i = 0; i < mat.size(); ++i) (mat[i] += x) %= MOD; return *this; } MatrixMOD& operator-=(const MatrixMOD& r) { return *this += MOD - r; } MatrixMOD& operator-=(const T& x) { return *this += MOD - x; } MatrixMOD& operator*=(const MatrixMOD& r) { // O(N^3) MatrixMOD res(*this); for (size_t i = 0; i < mat.size(); ++i) { for (size_t j = 0; j < r[0].size(); ++j) { res[i][j] = 0; for (size_t k = 0; k < mat[0].size(); ++k) { (res[i][j] += mat[i][k] * r[k][j] % MOD) %= MOD; } } } return *this = res; } MatrixMOD& operator*=(const T& x) { for (size_t i = 0; i < mat.size(); ++i) (mat[i] *= x) %= MOD; return *this; } MatrixMOD& operator%=(const T& mod) { for (size_t i = 0; i < mat.size(); ++i) mat[i] %= MOD; return *this; } MatrixMOD& operator^=(ll p) { // O(N^3 logP) MatrixMOD res(*this); for (size_t i = 0; i < mat.size(); ++i) { for (size_t j = 0; j < mat[0].size(); ++j) { res[i][j] = i == j; } } while (p) { if (p & 1) (res *= (*this)) %= MOD; ((*this) *= (*this)) %= MOD; p >>= 1; } for (size_t i = 0; i < mat.size(); ++i) mat[i] = res[i]; return *this; } MatrixMOD operator+(const MatrixMOD& r) const { MatrixMOD res(mat); return res += r; } MatrixMOD operator-(const MatrixMOD& r) const { MatrixMOD res(mat); return res -= r; } MatrixMOD operator*(const MatrixMOD& r) const { MatrixMOD res(mat); return res *= r; } MatrixMOD operator*(const T& r) const { MatrixMOD res(mat); return res *= r; } MatrixMOD operator^(const int& p) const { MatrixMOD res(mat); return res ^= p; } MatrixMOD t() const { MatrixMOD res(mat[0].size(), mat.size(), 0); for (size_t i = 0; i < mat[0].size(); ++i) { for (size_t j = 0; j < mat.size(); ++j) { res[i][j] = mat[j][i]; } } return res; } static MatrixMOD getUnit(size_t n) { MatrixMOD res(n, n, 0); for (size_t i = 0; i < n; ++i) res[i][i] = 1; return res; } void show() const { for (const auto& r : mat) { for (const auto & x : r) { std::cerr << x << "\t"; } std::cerr << std::endl; } } }; int a[] = { 2, 5, 22, 75, 264, 941, 3286, 11623, 40960, 144267, 508812, 1792981, 6319994, 22277291, 78518760, 276763545}; signed main() { INIT; VAR(int, n); if (n <= 15) { OUT(a[n - 1] % MOD)BR; return 0; } MatrixMOD A(std::valarray>({ { 1,5,11,5,14,8,3,0,MOD-5,MOD-11,MOD-1,2,0,0,1 }, { 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0 }, { 0,1,0,0,0,0,0,0,0,0,0,0,0,0,0 }, { 0,0,1,0,0,0,0,0,0,0,0,0,0,0,0 }, { 0,0,0,1,0,0,0,0,0,0,0,0,0,0,0 }, { 0,0,0,0,1,0,0,0,0,0,0,0,0,0,0 }, { 0,0,0,0,0,1,0,0,0,0,0,0,0,0,0 }, { 0,0,0,0,0,0,1,0,0,0,0,0,0,0,0 }, { 0,0,0,0,0,0,0,1,0,0,0,0,0,0,0 }, { 0,0,0,0,0,0,0,0,1,0,0,0,0,0,0 }, { 0,0,0,0,0,0,0,0,0,1,0,0,0,0,0 }, { 0,0,0,0,0,0,0,0,0,0,1,0,0,0,0 }, { 0,0,0,0,0,0,0,0,0,0,0,1,0,0,0 }, { 0,0,0,0,0,0,0,0,0,0,0,0,1,0,0 }, { 0,0,0,0,0,0,0,0,0,0,0,0,0,1,0 }, })); n -= 15; A ^= n; int ans = 0; REP(i, 15) { (ans += A[0][i] * (a[14 - i] % MOD) % MOD) %= MOD; } OUT(ans)BR; return 0; }