#include #define rep(i, n) for (int i = 0; i < (n); ++i) using namespace std; using ll = long long; //const int mod = 998244353; const int mod = 1000000007; struct mint { ll x; mint(ll x=0):x((x%mod+mod)%mod) {} mint operator-() const { return mint(-x); } mint& operator+=(const mint a) { if ((x += a.x) >= mod) x -= mod; return *this; } mint& operator-=(const mint a) { if ((x += mod-a.x) >= mod) x -= mod; return *this; } mint& operator*=(const mint a) { (x *= a.x) %= mod; return *this; } mint operator+(const mint a) const { return mint(*this) += a; } mint operator-(const mint a) const { return mint(*this) -= a; } mint operator*(const mint a) const { return mint(*this) *= a; } mint pow(ll t) const { if (!t) return 1; mint a = pow(t>>1); a *= a; if (t&1) a *= *this; return a; } // for prime mod mint inv() const { return pow(mod-2); } mint& operator/=(const mint a) { return *this *= a.inv(); } mint operator/(const mint a) const { return mint(*this) /= a; } }; istream& operator>>(istream& is, mint& a) { return is >> a.x; } ostream& operator<<(ostream& os, const mint& a) { return os << a.x; } // combination mod prime struct combination { vector fact, ifact; combination(int n):fact(n+1),ifact(n+1) { fact[0] = 1; for (int i = 1; i <= n; ++i) fact[i] = fact[i-1]*i; ifact[n] = fact[n].inv(); for (int i = n; i >= 1; --i) ifact[i-1] = ifact[i]*i; } mint operator()(int n, int k) { if (k < 0 || k > n) return 0; return fact[n]*ifact[k]*ifact[n-k]; } } comb(1000005); int main() { ll n; int k; cin >> n >> k; vector B(k+1); B[0] = 1; for (int i = 1; i <= k; ++i) { mint now; rep(j, i) now -= comb(i+1, j)*B[j]; now /= i+1; B[i] = now; } vector pown(k+2, 1); rep(i, k+1) pown[i+1] = pown[i]*n; mint ans; rep(i, k+1) { mint now = comb(k+1, i)*B[i]*pown[k+1-i]; if (~i&1) ans += now; else ans -= now; } ans /= k+1; cout << ans << '\n'; return 0; }