#include "bits/stdc++.h" using namespace std; #define rep(i,n) for(int (i)=0;(i)<(int)(n);++(i)) #define rer(i,l,u) for(int (i)=(int)(l);(i)<=(int)(u);++(i)) #define reu(i,l,u) for(int (i)=(int)(l);(i)<(int)(u);++(i)) static const int INF = 0x3f3f3f3f; static const long long INFL = 0x3f3f3f3f3f3f3f3fLL; typedef vector vi; typedef pair pii; typedef vector > vpii; typedef long long ll; template static void amin(T &x, U y) { if (y < x) x = y; } template static void amax(T &x, U y) { if (x < y) x = y; } template struct ModInt { static const int Mod = MOD; unsigned x; ModInt() : x(0) { } ModInt(signed sig) { int sigt = sig % MOD; if (sigt < 0) sigt += MOD; x = sigt; } ModInt(signed long long sig) { int sigt = sig % MOD; if (sigt < 0) sigt += MOD; x = sigt; } int get() const { return (int)x; } ModInt &operator+=(ModInt that) { if ((x += that.x) >= MOD) x -= MOD; return *this; } ModInt &operator-=(ModInt that) { if ((x += MOD - that.x) >= MOD) x -= MOD; return *this; } ModInt &operator*=(ModInt that) { x = (unsigned long long)x * that.x % 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 inverse() const { long long a = x, b = MOD, u = 1, v = 0; while (b) { long long t = a / b; a -= t * b; std::swap(a, b); u -= t * v; std::swap(u, v); } return ModInt(u); } }; typedef ModInt<1000000007> mint; template ModInt operator^(ModInt a, unsigned long long k) { ModInt r = 1; while (k) { if (k & 1) r *= a; a *= a; k >>= 1; } return r; } void calculateInverses(vector &xs) { int n = (int)xs.size(); vector prod(n + 1); prod[0] = 1; rep(i, n) prod[i + 1] = prod[i] * xs[i]; mint invprod = prod[n].inverse(); for (int i = n - 1; i >= 0; -- i) { mint x = xs[i]; xs[i] = invprod * prod[i]; invprod *= x; } } mint solve(const vector &A, mint T) { int N = (int)A.size() - 1; if (T.get() <= N) return A[T.get()]; mint numprod = 1; rer(j, 0, N) numprod *= T - j; vector fact(N + 1); fact[0] = 1; rer(i, 1, N) fact[i] = fact[i - 1] * i; vector numinvs(N + 1); rer(i, 0, N) numinvs[i] = T - i; calculateInverses(numinvs); vector deninvs(N + 1); rer(i, 0, N) deninvs[i] = fact[i] * (fact[N - i] * ((N - i) % 2 == 0 ? 1 : -1)); calculateInverses(deninvs); mint ans; rer(i, 0, N) { mint num = numprod * numinvs[i]; ans += A[i] * num * deninvs[i]; } return ans; } int main() { long long N; int K; while (~scanf("%lld%d", &N, &K)) { vector A(K + 2); reu(n, 1, A.size()) A[n] = A[n - 1] + (mint(n) ^ K); mint ans = solve(A, N); printf("%d\n", ans.get()); } return 0; }