#include #define rep(i,n) for(ll i=0;i<(ll)(n);i++) #define ITR(x,c) for(__typeof(c.begin()) x=c.begin();x!=c.end();x++) #define RITR(x,c) for(__typeof(c.rbegin()) x=c.rbegin();x!=c.rend();x++) #define setp(n) fixed << setprecision(n) #define lf double #define ll long long #define vll vector #define vi vector #define pll pair #define pi pair #define all(a) (a.begin()),(a.end()) #define rall(a) (a.rbegin()),(a.rend()) #define fi first #define se second #define pb push_back #define mp make_pair #define ins insert using namespace std; template<::std::uint_fast64_t mod> class ModInt{ private: using value_type = ::std::uint_fast64_t; value_type n; public: ModInt() : n(0) {} ModInt(value_type n_) : n(n_ % mod) {} ModInt(const ModInt& m) : n(m.n) {} template explicit operator T() const { return static_cast(n); } value_type get() const { return n; } friend ::std::ostream& operator<<(::std::ostream &os, const ModInt &a) { return os << a.n; } friend ::std::istream& operator>>(::std::istream &is, ModInt &a) { value_type x; is >> x; a = ModInt(x); return is; } bool operator==(const ModInt& m) const { return n == m.n; } bool operator!=(const ModInt& m) const { return n != m.n; } ModInt& operator*=(const ModInt& m){ n = n * m.n % mod; return *this; } ModInt pow(value_type b) const{ ModInt ans = 1, m = ModInt(*this); while(b){ if(b & 1) ans *= m; m *= m; b >>= 1; } return ans; } ModInt inv() const { return (*this).pow(mod-2); } ModInt& operator+=(const ModInt& m){ n += m.n; n = (n < mod ? n : n - mod); return *this; } ModInt& operator-=(const ModInt& m){ n += mod - m.n; n = (n < mod ? n : n - mod); return *this; } ModInt& operator/=(const ModInt& m){ *this *= m.inv(); return *this; } ModInt operator+(const ModInt& m) const { return ModInt(*this) += m; } ModInt operator-(const ModInt& m) const { return ModInt(*this) -= m; } ModInt operator*(const ModInt& m) const { return ModInt(*this) *= m; } ModInt operator/(const ModInt& m) const { return ModInt(*this) /= m; } ModInt& operator++(){ n += 1; return *this; } ModInt& operator--(){ n -= 1; return *this; } ModInt operator++(int){ ModInt old(n); n += 1; return old; } ModInt operator--(int){ ModInt old(n); n -= 1; return old; } ModInt operator-() const { return ModInt(mod-n); } }; template<::std::uint_fast64_t mod> class Combination { private: ::std::vector > _fact; ::std::vector > _finv; public: Combination(int range){ _fact.resize(range+1); _finv.resize(range+1); _fact[0] = _fact[1] = 1; _finv[0] = _finv[1] = 1; for(int i=2; i<=range; i++){ _fact[i] = _fact[i-1]*i; _finv[i] = _fact[i].inv(); } } ModInt fact(int x){return _fact[x];} ModInt finv(int x){return _finv[x];} ModInt comb(int x, int y){ return _fact[x]*_finv[y]*_finv[x-y]; } ModInt homo(int x, int y){ return comb(x+y-1, y); } }; const ll MOD = 1e9+7; int main(void) { cin.tie(0); ios::sync_with_stdio(false); ll n, m; cin>>n>>m; if (n < m){ cout << "0\n"; }else{ ModInt ans; Combination com(m); rep(i, m){ ModInt p(m-i); if (i%2==0){ ans += com.comb(m, i)*p.pow(n); }else{ ans -= com.comb(m, i)*p.pow(n); } } cout << ans << "\n"; } return 0; }