#include // clang-format off using Int = long long; #define REP_(i, a_, b_, a, b, ...) for (Int i = (a), lim##i = (b); i < lim##i; i++) #define REP(i, ...) REP_(i, __VA_ARGS__, __VA_ARGS__, 0, __VA_ARGS__) struct SetupIO { SetupIO() { std::cin.tie(nullptr), std::ios::sync_with_stdio(false), std::cout << std::fixed << std::setprecision(13); } } setup_io; #ifndef _MY_DEBUG #define dump(...) #endif // clang-format on /** * author: knshnb * created: Fri Apr 24 21:46:19 JST 2020 **/ template T pow(T x, int n, const T UNION = 1) { T ret = UNION; while (n) { if (n & 1) ret *= x; x *= x; n >>= 1; } return ret; } /// @docs src/Math/ModInt.md template struct ModInt { int x; static int runtime_mod; static std::unordered_map to_inv; // テンプレート引数が負のときは実行時ModInt static int mod() { return Mod < 0 ? runtime_mod : Mod; } static void set_runtime_mod(int mod) { static_assert(Mod < 0, "template parameter Mod must be negative for runtime ModInt"); runtime_mod = mod; to_inv.clear(); } ModInt() : x(0) {} ModInt(long long x_) { if ((x = x_ % mod() + mod()) >= mod()) x -= mod(); } ModInt& operator+=(ModInt rhs) { if ((x += rhs.x) >= mod()) x -= mod(); return *this; } ModInt& operator*=(ModInt rhs) { x = (unsigned long long)x * rhs.x % mod(); return *this; } ModInt& operator-=(ModInt rhs) { if ((x -= rhs.x) < 0) x += mod(); return *this; } ModInt& operator/=(ModInt rhs) { x = (unsigned long long)x * rhs.inv().x % mod(); return *this; } ModInt operator-() const { return -x < 0 ? mod() - x : -x; } ModInt operator+(ModInt rhs) const { return ModInt(*this) += rhs; } ModInt operator*(ModInt rhs) const { return ModInt(*this) *= rhs; } ModInt operator-(ModInt rhs) const { return ModInt(*this) -= rhs; } ModInt operator/(ModInt rhs) const { return ModInt(*this) /= rhs; } bool operator==(ModInt rhs) const { return x == rhs.x; } bool operator!=(ModInt rhs) const { return x != rhs.x; } ModInt inv() const { return to_inv.count(this->x) ? to_inv[this->x] : (to_inv[this->x] = pow(*this, mod() - 2).x); } friend std::ostream& operator<<(std::ostream& s, ModInt a) { s << a.x; return s; } friend std::istream& operator>>(std::istream& s, ModInt& a) { long long tmp; s >> tmp; a = ModInt(tmp); return s; } friend std::string to_string(ModInt a) { return std::to_string(a.x); } }; template std::unordered_map ModInt::to_inv; template int ModInt::runtime_mod; #ifndef CALL_FROM_TEST using mint = ModInt<1000000007>; #endif template struct Combination { std::vector fact, fact_inv; Combination(int n = 1000003) : fact(n + 1, 1), fact_inv(n + 1) { for (int i = 0; i < n; i++) fact[i + 1] = fact[i] * (i + 1); fact_inv[n] = (T)1 / fact[n]; for (int i = n - 1; i >= 0; i--) fact_inv[i] = fact_inv[i + 1] * (i + 1); // for (int i = 0; i < n + 1; i++) assert(fact[i] * fact_inv[i] == 1); } T operator()(int n, int r) { return fact[n] * fact_inv[r] * fact_inv[n - r]; } }; signed main() { Combination comb; Int n, m; std::cin >> n >> m; mint ans = 0; REP(i, m + 1) { int sign = (m - i) % 2 ? -1 : 1; ans += comb(m, i) * pow(mint(i), n) * sign; } std::cout << ans << std::endl; }