#include"bits/stdc++.h" using namespace std; #define REP(k,m,n) for(int (k)=(m);(k)<(n);(k)++) #define rep(i,n) REP((i),0,(n)) using ll = long long; using pii = pair; using pll = pair; using tp3 = tuple; using Mat = vector>; constexpr int INF = 1 << 28; constexpr ll INFL = 1ll << 60; constexpr int dh[4] = { 0,1,0,-1 }; constexpr int dw[4] = { -1,0,1,0 }; bool isin(const int H, const int W, const int h, const int w) { return 0 <= h && h < H && 0 <= w && w < W; } template T minch(T& l, T r) { return l = min(l, r); } template T maxch(T& l, T r) { return l = max(l, r); } template void output(const T& val) { cout << val << endl; } template void output(const vector& vec, const bool newline = false) { for (const T& val : vec)cout << val << (newline ? '\n' : ' '); cout << endl; } template void output(const vector>& mat) { for (const auto& row : mat)output(row); } struct ModInt { static const ll MOD = 1000000007; // constructors etc ModInt() :num(1ll) {} ModInt(ll num_) :num(num_%MOD) {} ModInt(const ModInt& modint) :num(modint.num%MOD) {} ll get()const { return num; } // operator etc // operator ll() const { return num; } // ll operator*() { return num; } ModInt& operator+=(const ModInt& r) { (num += r.num) %= MOD; return *this; } ModInt& operator-=(const ModInt& r) { (num += -r.num + MOD) %= MOD; return *this; } ModInt& operator*=(const ModInt& r) { (num *= r.num) %= MOD; return *this; } ModInt& operator/=(const ModInt& r) { (num *= r.inv().num) %= MOD; return *this; } ModInt pow(const ModInt& r)const { ll res = 1; ll x = num; ll n = r.num; while (n > 0) { if (n & 1)res = (res*x) % MOD; x = (x*x) % MOD; n >>= 1; } return res; } ModInt inv()const { return this->pow(MOD - 2); } ModInt operator+(const ModInt& r)const { return ModInt(*this) += r; } ModInt operator-(const ModInt& r)const { return ModInt(*this) -= r; } ModInt operator*(const ModInt& r)const { return ModInt(*this) *= r; } ModInt operator/(const ModInt& r)const { return ModInt(*this) /= r; } ModInt operator+(const ll& r)const { return *this + ModInt(r); } ModInt operator-(const ll& r)const { return *this - ModInt(r); } ModInt operator*(const ll& r)const { return *this * ModInt(r); } ModInt operator/(const ll& r)const { return *this / ModInt(r); } private: ll num; }; ostream& operator<<(ostream& stream, const ModInt& val) { stream << val.get(); return stream; } struct Comb { static constexpr ll LIM = 200000; static vector fact, inv; static void init() { fact.resize(LIM, 1); inv.resize(LIM, 1); REP(i, 1, LIM)fact[i] = fact[i - 1] * i; inv[LIM - 1] = fact[LIM - 1].inv(); for (ll i = LIM - 2; i > 0; i--)inv[i] = inv[i + 1] * (i + 1); } static ll comb(ll n, ll k) { if (n < k)return 0ll; return (fact[n] * inv[k] * inv[n - k]).get(); } }; vector Comb::fact; vector Comb::inv; // ============ template finished ============ int main() { ll N, M; cin >> N >> M; Comb::init(); ModInt res(0); rep(i, M + 1) { bool inv = (M - i) % 2 == 1; ModInt tres = Comb::comb(M, i); tres *= ModInt(i).pow(N); if (inv)res -= tres; else res += tres; } output(res); return 0; }