#include using namespace std; const int MAXK = int(1e6); const int MOD = int(1e9) + 7; int int_pow(int v, int p) { int res = not(v == 0 and p); while (p) { if (p & 1) { res = 1LL * res * v % MOD; } p >>= 1; v = 1LL * v * v % MOD; } return res; } int inv(int v) { return int_pow(v, MOD - 2); } int fact[MAXK + 1 + 1]; int64_t N; int K; int f[MAXK + 2 + 1]; signed main() { ios::sync_with_stdio(0); cin >> N >> K; for (int i = fact[0] = 1; i <= K + 1; ++i) { fact[i] = 1LL * fact[i - 1] * i % MOD; } for (int i = 1; i <= K + 2; ++i) { f[i] = (f[i - 1] + int_pow(i, K)) % MOD; } if (N <= K + 2) { cout << f[N] << endl; } else { int xmj = 1; for (int i = 1; i <= K + 2; ++i) { xmj = 1LL * xmj * (N % MOD - i) % MOD; } int ans = 0; for (int i = 1; i <= K + 2; ++i) { int p = 1LL * f[i] * xmj % MOD * inv(N % MOD - i) % MOD * inv(1LL * fact[i - 1] * fact[K + 2 - i] % MOD) % MOD; if (K + 2 - i & 1) p *= -1; (ans += p) %= MOD; } if (ans < 0) ans += MOD; cout << ans << endl; } return 0; }