#include using namespace std; #define MOD (long long)(1e9 + 7) #define MAX 5000000 template struct ModInt { int x; ModInt() : x(0) {} ModInt(int64_t y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {} ModInt &operator+=(const ModInt &p) { if((x += p.x) >= mod) x -= mod; return *this; } ModInt &operator-=(const ModInt &p) { if((x += mod - p.x) >= mod) x -= mod; return *this; } ModInt &operator*=(const ModInt &p) { x = (int)(1LL * x * p.x % mod); return *this; } ModInt &operator/=(const ModInt &p) { *this *= p.inverse(); return *this; } ModInt operator-() const { return ModInt(-x); } ModInt operator+(const ModInt &p) const { return ModInt(*this) += p; } ModInt operator-(const ModInt &p) const { return ModInt(*this) -= p; } ModInt operator*(const ModInt &p) const { return ModInt(*this) *= p; } ModInt operator/(const ModInt &p) const { return ModInt(*this) /= p; } bool operator==(const ModInt &p) const { return x == p.x; } bool operator!=(const ModInt &p) const { return x != p.x; } ModInt inverse() const { int a = x, b = mod, u = 1, v = 0, t; while(b > 0) { t = a / b; swap(a -= t * b, b); swap(u -= t * v, v); } return ModInt(u); } ModInt pow(int64_t n) const { ModInt ans(1), mul(x); while(n) { if(n & 1) ans *= mul; mul *= mul; n >>= 1; } return ans; } friend ostream &operator<<(ostream &os, const ModInt &p) { return os << p.x; } friend istream &operator>>(istream &is, ModInt &a) { int64_t t; is >> t; a = ModInt(t); return (is); } static int get_mod() { return mod; } }; struct Combination { vector> _fact, _rfact, _inv; Combination(long long nsize = MAX) : _fact(nsize + 1), _rfact(nsize + 1), _inv(nsize + 1) { _fact[0] = _rfact[nsize] = _inv[0] = 1; for(int i = 1; i <= nsize; i++) _fact[i] = _fact[i - 1] * i; _rfact[nsize] /= _fact[nsize]; for(int i = nsize - 1; i >= 0; i--) _rfact[i] = _rfact[i + 1] * (i + 1); for(int i = 1; i <= nsize; i++) _inv[i] = _rfact[i] * _fact[i - 1]; } inline ModInt fact(int k) const { return _fact[k]; } inline ModInt rfact(int k) const { return _rfact[k]; } inline ModInt inv(int k) const { return _inv[k]; } ModInt P(int n, int r) const { if(r < 0 || n < r) return 0; return fact(n) * rfact(n - r); } ModInt C(int p, int q) const { if(q < 0 || p < q) return 0; return fact(p) * rfact(q) * rfact(p - q); } ModInt H(int n, int r) const { if(n < 0 || r < 0) return (0); return n == 0 ? 1 : C(n + r - 1, r - 1); } }; vector> B; long long a, b, k; Combination com; ModInt solve(long long x); ModInt calc(const vector> &v, long long x); int main() { cin >> a >> k; cout << solve(a) << endl; // cout << solve(b) - solve(a - 1) << endl; return 0; } ModInt solve(long long x) { vector> v; v.push_back(0); ModInt sum = 0; for(int i = 0; i <= k; ++i) { sum += ModInt(i + 1).pow(k); v.push_back(sum); } if(x < v.size()) return v[x]; return calc(v, x); } ModInt calc(const vector> &v, long long x) { ModInt res = 0, p = 1; for(int i = 1; i < v.size(); ++i) { p *= x - i; p /= -i; } for(int i = 0; i < v.size(); ++i) { res += v[i] * p; if(i + 1 >= v.size()) break; p *= x - i; p /= x - (i + 1); p *= i - ((long long)v.size() - 1); p /= i + 1; } // cout << x << " " << res << endl; return res; }