#define _USE_MATH_DEFINES #include "bits/stdc++.h" using namespace std; #define FOR(i,j,k) for(int (i)=(j);(i)<(int)(k);++(i)) #define rep(i,j) FOR(i,0,j) #define each(x,y) for(auto &(x):(y)) #define mp make_pair #define MT make_tuple #define all(x) (x).begin(),(x).end() #define debug(x) cout<<#x<<": "<<(x)< >(b,vector(c,d)) #define vvv(a,b,c,d,e) vector > >(b,vv(a,c,d,e)) using ll = long long; using pii = pair; using vi = vector; using vll = vector; template class ModInt { public: ModInt() :value(0) {} ModInt(long long val) :value((int)(val<0 ? MOD + val%MOD : val%MOD)) { } ModInt& operator+=(ModInt that) { value = value + that.value; if (value >= MOD)value -= MOD; return *this; } ModInt& operator-=(ModInt that) { value -= that.value; if (value<0)value += MOD; return *this; } ModInt& operator*=(ModInt that) { value = (int)((long long)value * that.value % MOD); return *this; } ModInt &operator/=(ModInt that) { return *this *= that.inverse(); } ModInt operator+(ModInt that) const { return ModInt(*this) += that; } ModInt operator-(ModInt that) const { return ModInt(*this) -= that; } ModInt operator*(ModInt that) const { return ModInt(*this) *= that; } ModInt operator/(ModInt that) const { return ModInt(*this) /= that; } ModInt pow(long long k) const { if (value == 0)return 0; ModInt n = *this, res = 1; while (k) { if (k & 1)res *= n; n *= n; k >>= 1; } return res; } ModInt inverse() const { long long a = value, b = MOD, u = 1, v = 0; while (b) { long long t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } return ModInt(u); } int toi() const { return value; } private: int value; }; typedef ModInt<1000000007> mint; ostream& operator<<(ostream& os, const mint& x) { os << x.toi(); return os; } mint nCr(int n, int r, const vector &fact, const vector &rev) { if (n < r)return 0; return fact[n] * rev[r] * rev[n - r]; } mint B[10004]; int main() { ios::sync_with_stdio(false); cin.tie(0); cout << fixed << setprecision(20); ll n; int k; cin >> n >> k; vector fact(20000), rev(20000); fact[0] = 1; rep(i, 20000 - 1)fact[i + 1] = fact[i] * (i + 1); rep(i, 20000)rev[i] = fact[i].inverse(); B[0] = 1; for (int i = 1; i <= k; ++i) { mint x = 0; for (int j = 0; j < i; ++j) { x += nCr(i + 1, j, fact, rev)*B[j]; } x *= -1; x /= (i + 1); B[i] = x; } mint ans = 0; for (int j = 0; j <= k; ++j) { ans += nCr(k + 1, j, fact, rev) * B[j] * mint(n).pow(k+1-j) * mint(-1).pow(j); } ans /= k + 1; cout << ans << endl; }