#include #include using namespace std; using namespace atcoder; #define OVERLOAD_REP(_1, _2, _3, name, ...) name #define REP1(i, n) for (auto i = std::decay_t{}; (i) != (n); ++(i)) #define REP2(i, l, r) for (auto i = (l); (i) != (r); ++(i)) #define rep(...) OVERLOAD_REP(__VA_ARGS__, REP2, REP1)(__VA_ARGS__) #define REP(i, l, r) rep(i, l, r+1) #define all(x) (x).begin(),(x).end() #define rall(x) (x).rbegin(),(x).rend() using ll = long long; using ld = long double; using P = pair; struct Edge { int to; ll w; }; using Graph = vector >; //using Graph = vector >; const ll INF = 2e18; //const int INF = 2e9; template using vc = vector; template using vv = vector >; template using vvv = vector > >; template using pq = priority_queue; template using pq_g = priority_queue, greater >; template istream& operator>>(istream& i, vc& v) { rep(j, 0, v.size()) i>>v[j]; return i; } template ostream& operator<<(ostream& o, vc& v) { rep(j, 0, v.size()) o< bool chmin(T& a, T b) { if(a > b) { a = b; return true; } return false; } template bool chmax(T& a, T b) { if(a < b) { a = b; return true; } return false; } constexpr double EPS = 1e-9; inline bool eq(double a, double b) { return fabs(a - b) < EPS; } inline bool lt(double a, double b) { return a < b - EPS; } inline bool gt(double a, double b) { return a > b + EPS; } inline int sgn(double x) { if (x > EPS) return 1; if (x < -EPS) return -1; return 0; } ll mod = 1000000007; int fact_nums = 200000; vc fact; void fact_() { fact.resize(fact_nums); fact[0] = 1; REP(i, 1, fact_nums) fact[i] = fact[i-1] * i % mod; } ll powmod(ll x, ll n) { ll ans = 1; ll base = x % mod; while(n) { if(n%2) { ans = (ans * base) % mod; } base = base*base%mod; n >>= 1; } return ans; } ll nCr(ll n, ll r) { return fact[n] * powmod(fact[r] * fact[n-r] % mod, mod-2) % mod; } int main() { // 高速化 ios::sync_with_stdio(false); cin.tie(nullptr); // 小数点の出力桁数を指定 cout << fixed << setprecision(10); // メイン ll N, M; cin >> N >> M; //N %= mod; fact_(); ll ans = 0; REP(i, 0, M) { if((M-i)%2) ans -= nCr(M, i) * powmod(i, N) % mod; else ans += nCr(M, i) * powmod(i, N) % mod; ans = (ans+mod)%mod; } cout << ans << endl; return 0; }