#include #define all(vec) vec.begin(), vec.end() #define pb push_back #define eb emplace_back #define fi first #define se second using namespace std; using ll = long long; using P = pair; template using V = vector; constexpr ll INF = (1LL << 30) - 1LL; constexpr ll MOD = 1000000007LL; constexpr int dx[4] = {0, 1, 0, -1}, dy[4] = {1, 0, -1, 0}; template void chmin(T &a, T b) { a = min(a, b); } template void chmax(T &a, T b) { a = max(a, b); } void debug() { cerr << "ok" << endl; } template void printv(const vector &v) { for (int i = 0; i < v.size(); i++) cout << v[i] << (i + 1 == v.size() ? '\n' : ' '); } template void readv(vector &v) { for (int i = 0; i < v.size(); i++) cin >> v[i]; } //from http://noshi91.hatenablog.com/entry/2019/03/31/174006 template class modint { using u64 = std::uint_fast64_t; public: u64 a; constexpr modint(const u64 x = 0) noexcept : a(x % Modulus) {} constexpr u64 &value() noexcept { return a; } constexpr const u64 &value() const noexcept { return a; } constexpr modint operator+(const modint rhs) const noexcept { return modint(*this) += rhs; } constexpr modint operator-(const modint rhs) const noexcept { return modint(*this) -= rhs; } constexpr modint operator*(const modint rhs) const noexcept { return modint(*this) *= rhs; } constexpr modint operator/(const modint rhs) const noexcept { return modint(*this) /= rhs; } constexpr modint operator^(const u64 rhs) const noexcept { return modint(*this) ^= rhs; } constexpr modint &operator+=(const modint rhs) noexcept { a += rhs.a; if (a >= Modulus) { a -= Modulus; } return *this; } constexpr modint &operator-=(const modint rhs) noexcept { if (a < rhs.a) { a += Modulus; } a -= rhs.a; return *this; } constexpr modint &operator*=(const modint rhs) noexcept { a = a * rhs.a % Modulus; return *this; } constexpr modint &operator/=(modint rhs) noexcept { u64 exp = Modulus - 2; while (exp) { if (exp % 2) { *this *= rhs; } rhs *= rhs; exp /= 2; } return *this; } constexpr modint &operator^=(u64 exp) { modint rhs = modint(*this); a = 1; while (exp) { if (exp % 2) { *this *= rhs; } rhs *= rhs; exp /= 2; } return *this; } friend ostream &operator<<(ostream &os, const modint &x) { os << x.a; return os; } friend istream &operator>>(istream &is, modint &x) { is >> x.a; return is; } }; using mint = modint; vector f, fi; void comb(int n) { f.resize(n + 1); fi.resize(n + 1); f[0] = 1; for (ll i = 1; i <= n; i++) { f[i] = f[i - 1] * mint(i); } fi[n] = mint(1) / f[n]; for (ll i = n - 1; i >= 0; i--) { fi[i] = fi[i + 1] * mint(i + 1LL); } } mint ncr(ll n, ll r) { if (n < r) { return mint(0); } if (r == 0) { return mint(1); } return f[n] * fi[n - r] * fi[r]; } int main() { ios::sync_with_stdio(0); cin.tie(0); ll n, m; cin >> n >> m; comb(n + 10); mint res = 0; for (ll k = 0; k <= m; k++) { mint s = ncr(m, k); s *= mint(m - k) ^ n; if (k & 1) s *= mint(MOD - 1LL); res += s; } cout << res << endl; }