#define _CRT_SECURE_NO_WARNINGS #define _USE_MATH_DEFINES #include #ifdef _MSC_VER #include #else #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #endif /* const */ constexpr double PI = 3.141592653589793238462643; /* io */ #define endl '\n' namespace aux { template struct tp { static void print(std::ostream& os, const T& v) { os << std::get(v) << ", "; tp::print(os, v); } }; template struct tp { static void print(std::ostream& os, const T& v) { os << std::get(v); } }; } // namespace aux template std::ostream& operator<<(std::ostream& os, const std::tuple& t) { os << '['; aux::tp, 0, sizeof...(Ts) - 1>::print(os, t); os << ']'; return os; } template ::value, int> = 0> std::ostream& operator<<(std::ostream& os, T const& a); template std::ostream& operator<<(std::ostream& os, std::pair const& p) { return os << '[' << p.first << ", " << p.second << ']'; } template std::istream& operator>>(std::istream& is, std::pair& p) { return is >> p.first >> p.second; } template ::value, int>> std::ostream& operator<<(std::ostream& os, T const& a) { bool f = true; os << '['; for (auto const& x : a) { os << (f ? "" : ", ") << x; f = false; } os << ']'; return os; } template ::value, int> = 0> std::ostream& operator<<(std::ostream& os, const T (&a)[N]) { bool f = true; os << '['; for (auto const& x : a) { os << (f ? "" : ", ") << x; f = false; } os << ']'; return os; } template ())), class = typename std::enable_if::value>::type> std::istream& operator>>(std::istream& is, T& a) { for (auto& x : a) is >> x; return is; } struct IOSetup { IOSetup(bool f) { if (f) { std::cin.tie(nullptr); std::ios::sync_with_stdio(false); } std::cout << std::fixed << std::setprecision(15); } } iosetup(true); /* format */ template std::string format(const std::string& f, Ts... t) { size_t l = std::snprintf(nullptr, 0, f.c_str(), t...); std::vector b(l + 1); std::snprintf(&b[0], l + 1, f.c_str(), t...); return std::string(&b[0], &b[0] + l); } /* dump */ #define ENABLE_DUMP #ifdef ENABLE_DUMP #define DUMPOUT std::cerr std::ostringstream DUMPBUF; #define dump(...) \ do { \ DUMPBUF << " "; \ DUMPBUF << #__VA_ARGS__ << " :[DUMP - " << __LINE__ << ":" << __FUNCTION__ << "]" << endl; \ DUMPBUF << " "; \ dump_func(__VA_ARGS__); \ DUMPOUT << DUMPBUF.str(); \ DUMPBUF.str(""); \ DUMPBUF.clear(); \ } while (0); void dump_func() { DUMPBUF << endl; } template void dump_func(Head&& head, Tail&&... tail) { DUMPBUF << head; if (sizeof...(Tail) == 0) { DUMPBUF << " "; } else { DUMPBUF << ", "; } dump_func(std::move(tail)...); } #else #define dump(...) void(0); #endif /* misc */ struct Xorshift { uint64_t x = 88172645463325252LL; void set_seed(unsigned seed, int rep = 100) { x = (seed + 1) * 10007; for (int i = 0; i < rep; i++) next_int(); } unsigned next_int() { x = x ^ (x << 7); return x = x ^ (x >> 9); } unsigned next_int(unsigned mod) { x = x ^ (x << 7); x = x ^ (x >> 9); return x % mod; } unsigned next_int(unsigned l, unsigned r) { x = x ^ (x << 7); x = x ^ (x >> 9); return x % (r - l + 1) + l; } double next_double() { return double(next_int()) / UINT_MAX; } } rnd; template void shuffle_vector(std::vector& v, Xorshift& rnd) { int n = v.size(); for (int i = n - 1; i >= 1; i--) { int r = rnd.next_int(i); std::swap(v[i], v[r]); } } std::vector split(std::string str, const std::string& delim) { for (char& c : str) if (delim.find(c) != std::string::npos) c = ' '; std::istringstream iss(str); std::vector parsed; std::string buf; while (iss >> buf) parsed.push_back(buf); return parsed; } #define rep(i, m, n) for (int i = (int)(m); i < (int)(n); i++) #define rrep(i, n) for (int i = ((int)(n)-1); i >= 0; i--) template bool chmax(T& a, const T& b) { if (a < b) { a = b; return 1; } return 0; } template bool chmin(T& a, const T& b) { if (b < a) { a = b; return 1; } return 0; } template auto make_vector(T x, int arg, Args... args) { if constexpr (sizeof...(args) == 0) return std::vector(arg, x); else return std::vector(arg, make_vector(x, args...)); } template T modpow(T n, T e, T m) { T result = 1; while (e > 0) { if (e & 1) result = (result * n) % m; e >>= 1; n = (n * n) % m; } return result; } using namespace std; using ll = long long; using pii = pair; using pil = pair; using pli = pair; using pll = pair; using pdd = pair; using vi = vector; using vvi = vector>; using vl = vector; using vvl = vector>; #define fore(i, a) for (auto& i : a) #define all(x) (x).begin(), (x).end() #define fi first #define se second #define pb push_back #define append emplace_back constexpr ll INFLL = INT64_MAX; constexpr int INF = INT_MAX; constexpr ll MOD = 1000000007; constexpr ll mod = 998244353; template using pq = priority_queue, greater>; template class modint { using u64 = uint64_t; public: u64 x; constexpr modint(const u64 x = 0) noexcept : x(x % MOD) {} constexpr u64& value() noexcept { return x; } constexpr const u64& value() const noexcept { return x; } constexpr modint operator+(const modint r) const noexcept { return modint(*this) += r; } constexpr modint operator-(const modint r) const noexcept { return modint(*this) -= r; } constexpr modint operator*(const modint r) const noexcept { return modint(*this) *= r; } constexpr modint operator/(const modint r) const noexcept { return modint(*this) /= r; } constexpr modint& operator+=(const modint r) noexcept { x += r.x; if (x >= MOD) x -= MOD; return *this; } constexpr modint& operator-=(const modint r) noexcept { if (x < r.x) x += MOD; x -= r.x; return *this; } constexpr modint& operator*=(const modint r) noexcept { x = x * r.x % MOD; return *this; } constexpr modint& operator/=(modint r) noexcept { u64 exp = MOD - 2; while (exp) { if (exp % 2) *this *= r; r *= r; exp /= 2; } return *this; } friend istream& operator>>(istream& in, modint& m) { in >> m.x; return in; } friend ostream& operator<<(ostream& out, const modint& m) { out << m.x; return out; } }; using mint = modint; int main() { #if 1 ios::sync_with_stdio(false); cin.tie(0); #endif int N; cin >> N; auto dp = make_vector(0, N + 1, 10); dp[0][0] = 1; rep(i, 0, N) { rep(j, 0, 10) { rep(x, j, 10) { dp[i + 1][max(j, x)] += dp[i][j]; } } } mint res = 0; rep(i, 0, 10) res += dp[N][i]; cout << res << endl; }