#include #define pq priority_queue #define P pair #define P2 pair #define P3 pair using namespace std; typedef long long ll; typedef long double ld; constexpr long long gcd(long long a, long long b){return b ? gcd(b, a % b) : a;} constexpr long long lcm(long long a, long long b){return a / gcd(a, b) * b;} constexpr int INF = 1e9, MOD = INF + 7, around[] = {0, 1, 1, -1, -1, 0, -1, 1, 0, 0}; constexpr int mod_pow(long long x, long long n, const int mod){long long ret=1;while(n){if(n&1)(ret*=x)%=mod;(x*=x)%=mod;n>>=1;}return ret;} template struct Prime{bool arr[n+1];constexpr bool operator[](int k){return arr[k];}constexpr Prime():arr(){for(int i=2;i struct Factorial{long long arr[n+1],ary[n+1];constexpr Factorial():arr(),ary(){arr[0]=1;ary[0]=1;for(int i=0;i fact; constexpr Prime<10> prime; //constexpr int comb(int a, int b){long long pos = fact.arr[a], pot = fact.ary[a - b], por = fact.ary[b];return pos * pot % MOD * por % MOD;} constexpr int vx[] = {1, 0, -1, 0}, vy[] = {0, 1, 0, -1}; constexpr int sqrtN = 512, logN = 32; constexpr ld PI = abs(acos(-1)); constexpr ll LINF=1e18; ll b[10010], fact[10010], inv[10010]; void make(int n){ fact[0] = inv[0] = 1; for(int i = 0; i < n; i++) fact[i + 1] = fact[i] * (i + 1) % MOD; for(int i = 0; i < n; i++) inv[i + 1] = mod_pow(fact[i + 1], MOD - 2, MOD); } ll comb(int a, int b){ ll p = fact[a]; ll q = inv[a - b]; ll r = inv[b]; return p * q % MOD * r % MOD; } int main(){ ll n, k; cin >> n >> k; make(10010); b[0] = 1; for(int i = 1; i <= k + 1; i++){ ll pos = 0; for(int j = 0; j < i; j++){ (pos += comb(i + 1, j) * b[j] % MOD) %= MOD; } b[i] = (MOD - mod_pow(i + 1, MOD - 2, MOD)) % MOD * pos % MOD; } ll ans = 0; n++; for(int j = 0; j <= k; j++){ ll p = comb(k + 1, j); ll q = b[j]; ll r = mod_pow(n % MOD, k + 1 - j, MOD); (ans += p * q % MOD * r % MOD) %= MOD; } cout << ans * mod_pow(k + 1, MOD - 2, MOD) % MOD << endl; return 0; }