#include #include using namespace std; using namespace atcoder; using ll = long long; using P = pair; using mint = modint1000000007; #define rep(i, n) for (int i = 0; i < (int)(n); i++) int main() { ll N, K; cin >> N >> K; int M = 20005; vector fact(M + 1, 1), invfact(M + 1, 1); for (int i = 1; i <= M; i++) { fact[i] = fact[i - 1] * i; } invfact[M] = fact[M].inv(); for (int i = M - 1; i >= 0; i--) { invfact[i] = invfact[i + 1] * (i + 1); } vector B(M); B[0] = 1; B[1] = -((mint)2).inv(); for (int i = 2; i < M; i += 2) { mint temp = -B[1]; for (int k = 0; k <= i; k += 2) { temp -= invfact[i + 1] * fact[i] * fact[i + 1] * invfact[k] * invfact[i + 1 - k] * B[k]; } B[i] = temp; } mint ans = 0; mint v = ((mint)(N + 1)).pow(K + 1); mint inv = ((mint)(N + 1)).inv(); rep(i, K + 1) { ans += fact[K + 1] * invfact[i] * invfact[K + 1 - i] * B[i] * v; v *= inv; } ans *= ((mint)(K + 1)).inv(); cout << ans.val() << endl; }