import std.algorithm, std.conv, std.range, std.stdio, std.string; const mod = 10 ^^ 9 + 7; alias FactorRing!mod mint; void main() { auto rd = readln.split.to!(long[]), n = rd[0], m = mint(rd[1]); auto r = repeatedSquare(m, n), c = mint(1); foreach (i; 1..m) { c *= (m - i + 1) * mint(i).inv; r += c * repeatedSquare(m - i, n) * (-1) ^^ i; } writeln(r); } T repeatedSquare(T, alias pred = "a * b", U)(T a, U n) { return repeatedSquare(a, n, T(1)); } T repeatedSquare(T, alias pred = "a * b", U)(T a, U n, T init) { import std.functional; alias predFun = binaryFun!pred; if (n == 0) return init; auto r = init; while (n > 0) { if ((n & 1) == 1) r = predFun(r, a); a = predFun(a, a); n >>= 1; } return r; } struct FactorRing(int m, bool pos = false) { long v; @property int toInt() { return v.to!int; } alias toInt this; this(T)(T _v) { v = mod(_v); } ref FactorRing!(m, pos) opAssign(int _v) { v = mod(_v); return this; } pure auto mod(long _v) const { static if (pos) return _v % m; else return (_v % m + m) % m; } pure auto opBinary(string op: "+")(long rhs) const { return FactorRing!(m, pos)(v + rhs); } pure auto opBinary(string op: "-")(long rhs) const { return FactorRing!(m, pos)(v - rhs); } pure auto opBinary(string op: "*")(long rhs) const { return FactorRing!(m, pos)(v * rhs); } pure auto opBinary(string op)(FactorRing!(m, pos) rhs) const if (op == "+" || op == "-" || op == "*") { return opBinary!op(rhs.v); } auto opOpAssign(string op: "+")(long rhs) { v = mod(v + rhs); } auto opOpAssign(string op: "-")(long rhs) { v = mod(v - rhs); } auto opOpAssign(string op: "*")(long rhs) { v = mod(v * rhs); } auto opOpAssign(string op)(FactorRing!(m, pos) rhs) if (op == "+" || op == "-" || op == "*") { return opOpAssign!op(rhs.v); } pure auto inv() const { int x = v.to!int, a, b; exEuclid(x, m, a, b); return FactorRing!(m, pos)(a); } } pure T exEuclid(T)(T a, T b, ref T x, ref T y) { auto g = a; x = 1; y = 0; if (b != 0) { g = exEuclid(b, a % b, y, x); y -= a / b * x; } return g; }