import std.stdio, std.array, std.string, std.conv, std.algorithm; import std.typecons, std.range, std.random, std.math, std.container; import std.numeric, std.bigint, core.bitop; void main() { immutable long MOD = 10^^9 + 7; auto s = readln.split.map!(to!long); auto N = s[0]; auto K = s[1].to!int; auto B = new long[](K+2); B[0] = 1; auto Comb = new Combination(); foreach (i; 1..K+2) { long S = 0; foreach (j; 0..i) { S += Comb.comb(i+1, j) * B[j] % MOD; S %= MOD; } B[i] = S * powmod(i+1, MOD-2, MOD) % MOD; B[i] = B[i] * (MOD-1) % MOD; } long ber(int n, long x) { long ans = 0; foreach (i; 0..n+1) { long a = Comb.comb(n, i); long b = B[n-i]; long c = powmod(x % MOD, i, MOD); ans += a * b % MOD * c % MOD; ans %= MOD; } return ans; } long ans = ber(K+1, N+1) - ber(K+1, 0); ans = (ans % MOD + MOD) % MOD; ans = ans * powmod(K+1, MOD-2, MOD) % MOD; ans.writeln; } class Combination { immutable int MAX = 2*10^^4+1; immutable long MOD = 10^^9+7; long[] modinv; long[] f_mod; long[] f_modinv; this() { modinv = new long[](MAX); modinv[0] = modinv[1] = 1; foreach(i; 2..MAX) { modinv[i] = modinv[MOD.to!int % i] * (MOD - MOD / i) % MOD; } f_mod = new long[](MAX); f_modinv = new long[](MAX); f_mod[0] = f_mod[1] = 1; f_modinv[0] = f_modinv[1] = 1; foreach(i; 2..MAX.to!int) { f_mod[i] = (i * f_mod[i-1]) % MOD; f_modinv[i] = (modinv[i] * f_modinv[i-1]) % MOD; } } long comb(int n, int k) { if (n < k) return 0; return f_mod[n] * f_modinv[n-k] % MOD * f_modinv[k] % MOD; } } long powmod(long a, long x, long m) { long ret = 1; while (x) { if (x % 2) ret = ret * a % m; a = a * a % m; x /= 2; } return ret; }