#include #include #define REP(i,s,n) for(int i=(int)(s);i<(int)(n);i++) using namespace std; typedef long long int ll; const ll mod = 1e9 + 7; ll powmod(ll a, ll e) { ll sum = 1; ll cur = a; while (e > 0) { if (e % 2) { sum = sum * cur % mod; } cur = cur * cur % mod; e /= 2; } return sum; } const int N = 10003; // up to 10002 ll inv_tbl[N]; void calculate_inverse(void) { REP(i, 0, N) { inv_tbl[i] = powmod(i, mod - 2); } } // https://ja.wikipedia.org/wiki/%E3%83%99%E3%83%AB%E3%83%8C%E3%83%BC%E3%82%A4%E6%95%B0 ll ber[N]; void calculate_bernoulli(int k) { ber[0] = 1; REP(i, 1, k + 1) { ll sum = 0; ll cur = 1; REP(j, 0, i) { ll tmp = mod - cur; tmp = tmp * ber[j] % mod; sum = (sum + tmp) % mod; cur = cur * (i + 1 - j) % mod; cur = cur * inv_tbl[j + 1] % mod; } ber[i] = sum * inv_tbl[i + 1] % mod; } } int main(void) { ll n; int k; cin >> n >> k; assert (1 <= n); assert (n <= (ll)1e16); assert (1 <= k); assert (k <= 10000); n += 1; n %= mod; calculate_inverse(); calculate_bernoulli(k); ll sum = 0; ll cur = n; ll comb = k + 1; REP(i, 0, k + 1) { ll tmp = cur * ber[k - i] % mod; tmp = tmp * comb % mod; sum = (sum + tmp) % mod; cur = cur * n % mod; comb = comb * (k - i) % mod; comb = comb * inv_tbl[i + 2] % mod; } cout << sum * inv_tbl[k + 1] % mod << endl; }