#include using namespace std; template class y_combinator { F f; public: y_combinator(F&& f) : f(std::forward(f)) {} template auto operator()(Args&&... args) const { return f(*this, std::forward(args)...); } }; using ll = long long; using ld = long double; using u64 = uint64_t; using vi = vector; using vl = vector; using pii = pair; using pll = pair; template > using prique = std::priority_queue, U>; inline constexpr int popcnt(u64 x) noexcept { return __builtin_popcountll(x); } inline ll floor_div(ll a, ll b) noexcept { return a / b - (a % b && (a ^ b) < 0); } inline ll ceil_div(ll a, ll b) noexcept { return floor_div(a + b - 1, b); } template bool chmin(T& x, const T& y) noexcept { return (x > y ? x = y, true : false); } template bool chmax(T& x, const T& y) noexcept { return (x < y ? x = y, true : false); } template void dedup(std::vector& v) { std::sort(std::begin(v), std::end(v)), v.erase(std::unique(std::begin(v), std::end(v)), std::end(v)); } template ll bisect(ll ok, ll ng, const F& f) { while (abs(ok - ng) > 1) { ll mid = (ok + ng) / 2; (f(mid) ? ok : ng) = mid; } return ok; } template ld bisect_real(ld ok, ld ng, const F& f, int iter = 80) { while (iter--) { ld mid = (ok + ng) / 2.; (f(mid) ? ok : ng) = mid; } return ok; } inline void SCAN() {} template inline void SCAN(H& h, T&... t) { std::cin >> h, SCAN(t...); } #define INT(...) int __VA_ARGS__; SCAN(__VA_ARGS__) #define LL(...) long long __VA_ARGS__; SCAN(__VA_ARGS__) #define LD(...) long double __VA_ARGS__; SCAN(__VA_ARGS__) #define STR(...) std::string __VA_ARGS__; SCAN(__VA_ARGS__) #define CHAR(...) char __VA_ARGS__; SCAN(__VA_ARGS__) #define VEC(type, name, size) std::vector name(size); for (int i = 0; i < (int)size; i++) SCAN(name[i]); #define VV(type, name, h, w) std::vector> name(h, std::vector(w)); for (int i = 0; i < (int)h; i++) for (int j = 0; j < (int)w; j++) SCAN(name[i][j]); #define overload4(a, b, c, d, e, ...) e #define rep1(a) for (long long _i = 0; _i < (a); _i++) #define rep2(i, a) for (long long i = 0; i < (a); i++) #define rep3(i, a, b) for (long long i = (a); i < (b); i++) #define rep4(i, a, b, c) for (long long i = (a); i < (b); i += (c)) #define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__) #define rrep(i, a, b, c) for (long long i = (a); i > (b); i += (c)) #define all(x) std::begin(x), std::end(x) #define rall(x) std::rbegin(x), std::rend(x) #define len(x) (long long)(size(x)) #define pb push_back #ifndef LOCAL #define debug(...) #endif template struct combination { private: std::vector _fact, _ifac; void expand(size_t N) { const size_t a = _fact.size(); if(a > N) return; _fact.resize(N + 1); for(size_t i = a; i <= N; i++) _fact[i] = _fact[i - 1] * i; _ifac.resize(N + 1); _ifac[N] = Mint{1} / _fact[N]; for(size_t i = N; i > a; i--) _ifac[i - 1] = _ifac[i] * i; } public: combination(size_t N = 0) : _fact(1, 1), _ifac(1, 1) { expand(N); } Mint fact(size_t x) { expand(x); return _fact[x]; } Mint invfact(size_t x) { expand(x); return _ifac[x]; } Mint perm(size_t N, size_t K) { if(N < K) return Mint{0}; expand(N); return _fact[N] * _ifac[N - K]; } Mint comb(size_t N, size_t K) { if(N < K) return Mint{0}; expand(N); return _fact[N] * _ifac[K] * _ifac[N - K]; } Mint homo(size_t N, size_t K) { if(N == 0) return K == 0 ? Mint{1} : Mint{0}; return comb(N - 1 + K, K); } }; #include using mint = atcoder::modint1000000007; combination C; void run_case() { LL(N, M); mint ans = 0; rep(i, M + 1) { int sgn = (M - i) & 1 ? -1 : 1; mint t = C.comb(M, i) * mint(i).pow(N); ans += t * sgn; } cout << ans.val() << "\n"; } int main() { std::ios_base::sync_with_stdio(false); std::cin.tie(nullptr); std::fixed(std::cout).precision(16); int T = 1; while (T--) run_case(); return 0; }