using System; using System.IO; using System.Linq; using System.Text; using System.Text.RegularExpressions; using System.Collections.Generic; using System.Diagnostics; using System.Numerics; using Enu = System.Linq.Enumerable; public class Program { static readonly int Mod = (int)1e9 + 7; public void Solve() { long N = Reader.Long(), M = Reader.Long(); if (M > N) { Console.WriteLine(0); return; } InitFactorial(M, Mod); long ans = 0; for (int K = 1; K <= M; K++) { long v = ModPower(K, N, Mod) * ModC(M, K, Mod) % Mod; if ((M - K & 1) == 0) ans = (ans + v) % Mod; else ans = (ans + Mod - v) % Mod; } Console.WriteLine(ans); } static long ModPower(long x, long n, long mod) // x ^ n { long res = 1; while (n > 0) { if ((n & 1) == 1) res = res * x % mod; x = x * x % mod; n >>= 1; } return res; } long[] Fact; void InitFactorial(long n, long p) { Fact = new long[n + 1]; Fact[0] = 1 % p; for (long i = 1; i <= n; i++) Fact[i] = Fact[i - 1] * i % p; } long ModC(long n, long k, long p) { if (n < 0 || k < 0 || k > n) return 0; long e1, e2, e3; long a1 = ModFactorial(n, p, out e1); long a2 = ModFactorial(k, p, out e2); long a3 = ModFactorial(n - k, p, out e3); if (e1 > e2 + e3) return 0; return a1 * ModInverse(a2 * a3 % p, p) % p; } // n! = a * p^e long ModFactorial(long n, long p, out long e) { e = 0; if (n == 0) return 1; long res = ModFactorial(n / p, p, out e); e += n / p; if (n / p % 2 != 0) return res * (p - Fact[n % p]) % p; return res * Fact[n % p] % p; } long ModInverse(long N, long mod) { long x = 0, y = 0; N = (N % mod + mod) % mod; ExtGCD(N, mod, ref x, ref y); return (x % mod + mod) % mod; } long ExtGCD(long a, long b, ref long x, ref long y) { if (b == 0) { x = 1; y = 0; return a; } long res = ExtGCD(b, a % b, ref y, ref x); y -= (a / b) * x; return res; } } class Entry { static void Main() { new Program().Solve(); } } class Reader { static TextReader reader = Console.In; static readonly char[] separator = { ' ' }; static readonly StringSplitOptions op = StringSplitOptions.RemoveEmptyEntries; static string[] A = new string[0]; static int i; static void Init() { A = new string[0]; } public static void Set(TextReader r) { reader = r; Init(); } public static void Set(string file) { reader = new StreamReader(file); Init(); } public static bool HasNext() { return CheckNext(); } public static string String() { return Next(); } public static int Int() { return int.Parse(Next()); } public static long Long() { return long.Parse(Next()); } public static double Double() { return double.Parse(Next()); } public static int[] IntLine() { return Array.ConvertAll(Split(Line()), int.Parse); } public static int[] IntArray(int N) { return Range(N, Int); } public static int[][] IntTable(int H) { return Range(H, IntLine); } public static string[] StringArray(int N) { return Range(N, Next); } public static string[][] StringTable(int N) { return Range(N, () => Split(Line())); } public static string Line() { return reader.ReadLine().Trim(); } static T[] Range(int N, Func f) { return Enu.Range(0, N).Select(i => f()).ToArray(); } static string[] Split(string s) { return s.Split(separator, op); } static string Next() { CheckNext(); return A[i++]; } static bool CheckNext() { if (i < A.Length) return true; string line = reader.ReadLine(); if (line == null) return false; if (line == "") return CheckNext(); A = Split(line); i = 0; return true; } }