#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define endl codeforces #define ALL(v) std::begin(v), std::end(v) #define ALLR(v) std::rbegin(v), std::rend(v) using ll = std::int64_t; using ull = std::uint64_t; using pii = std::pair; using tii = std::tuple; using pll = std::pair; using tll = std::tuple; template using vec = std::vector; template using vvec = vec>; template const T& var_min(const T &t) { return t; } template const T& var_max(const T &t) { return t; } template const T& var_min(const T &t, const Tail&... tail) { return std::min(t, var_min(tail...)); } template const T& var_max(const T &t, const Tail&... tail) { return std::max(t, var_max(tail...)); } template void chmin(T &t, const Tail&... tail) { t = var_min(t, tail...); } template void chmax(T &t, const Tail&... tail) { t = var_max(t, tail...); } template T make_v(T init) { return init; } template auto make_v(T init, std::size_t s, Tail... tail) { auto v = std::move(make_v(init, tail...)); return vec(s, v); } template struct multi_dem_array { using type = std::array::type, Head>; }; template struct multi_dem_array { using type = std::array; }; template using mdarray = typename multi_dem_array::type; namespace init__ { struct InitIO { InitIO() { std::cin.tie(nullptr); std::ios_base::sync_with_stdio(false); std::cout << std::fixed << std::setprecision(30); } } init_io; } namespace math { template constexpr T pow(const T &n, ll k) { T ret = n.mul_id_ele(); T cur = n; while (k) { if (k & 1) ret *= cur; cur *= cur; k /= 2; } return ret; } } namespace math { template struct Modint { constexpr Modint(ll x) noexcept : x((Mod + x % Mod) % Mod) { } constexpr Modint() noexcept : Modint(0) { } constexpr Modint add_id_ele() const noexcept { return Modint(0); } constexpr Modint mul_id_ele() const noexcept { return Modint(1); } constexpr ll& value() noexcept { return x; } constexpr ll value() const noexcept { return x; } constexpr Modint& operator +=(const Modint &oth) noexcept { x += oth.value(); if (Mod <= x) x -= Mod; return *this; } constexpr Modint& operator -=(const Modint &oth) noexcept { x += Mod - oth.value(); if (Mod <= x) x -= Mod; return *this; } constexpr Modint& operator *=(const Modint &oth) noexcept { x *= oth.value(); x %= Mod; return *this; } constexpr Modint& operator /=(const Modint &oth) noexcept { x *= oth.inv(); x %= Mod; return *this; } constexpr Modint operator +(const Modint &oth) const noexcept { return Modint(x) += oth; } constexpr Modint operator -(const Modint &oth) const noexcept { return Modint(x) -= oth; } constexpr Modint operator *(const Modint &oth) const noexcept { return Modint(x) *= oth; } constexpr Modint operator /(const Modint &oth) const noexcept { return Modint(x) /= oth; } constexpr Modint operator -() const noexcept { return Modint((x != 0) * (Mod - x)); } template constexpr typename std::enable_if::value, const Modint&>::type operator =(T t) noexcept { (*this) = Modint(std::forward(t)); return *this; } constexpr Modint inv() const noexcept { return ::math::pow(*this, Mod - 2); } constexpr ll mod() const noexcept { return Mod; } private: ll x; }; } namespace math { template class Factorial { using mint = Modint; ssize_t maxv; vec factv, ifactv; public: Factorial(ssize_t maxv) : maxv(maxv), factv(maxv + 1), ifactv(maxv + 1) { factv[0] = mint(1); for (ll i = 1; i <= maxv; i++) factv[i] = factv[i - 1] * i; ifactv.back() = factv.back().inv(); for (ll i = maxv - 1; 0 <= i; i--) ifactv[i] = ifactv[i + 1] * (i + 1); } mint fact(ll n) const { return factv[n]; } mint ifact(ll n) const { return ifactv[n]; } mint perm(ll n, ll k) const { return factv[n] * ifactv[n - k]; } mint comb(ll n, ll k) const { return perm(n, k) * ifactv[k]; } }; } constexpr ll mod = 1e9 + 7; using mint = math::Modint; math::Factorial fa(1e6); int main() { ll n, m; std::cin >> n >> m; mint ans = 0; for (ll i = 0; i < m; i++) { mint p = math::pow(mint(m - i), n); p *= fa.comb(m, i); if (i & 1) p *= -1; ans += p; } std::cout << ans.value() << '\n'; return 0; }