import std.conv, std.functional, std.range, std.stdio, std.string; import std.algorithm, std.array, std.bigint, std.complex, std.container, std.math, std.numeric, std.regex, std.typecons; import core.bitop; class EOFException : Throwable { this() { super("EOF"); } } string[] tokens; string readToken() { for (; tokens.empty; ) { if (stdin.eof) { throw new EOFException; } tokens = readln.split; } auto token = tokens.front; tokens.popFront; return token; } int readInt() { return readToken.to!int; } long readLong() { return readToken.to!long; } real readReal() { return readToken.to!real; } bool chmin(T)(ref T t, in T f) { if (t > f) { t = f; return true; } else { return false; } } bool chmax(T)(ref T t, in T f) { if (t < f) { t = f; return true; } else { return false; } } int binarySearch(alias pred, T)(in T[] as) { int lo = -1, hi = cast(int)(as.length); for (; lo + 1 < hi; ) { const mid = (lo + hi) >> 1; (unaryFun!pred(as[mid]) ? hi : lo) = mid; } return hi; } int lowerBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a >= val)); } int upperBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a > val)); } // a^-1 (mod m) long modInv(long a, long m) in { assert(m > 0, "modInv: m > 0 must hold"); } do { long b = m, x = 1, y = 0, t; for (; ; ) { t = a / b; a -= t * b; if (a == 0) { assert(b == 1 || b == -1, "modInv: gcd(a, m) != 1"); if (b == -1) { y = -y; } return (y < 0) ? (y + m) : y; } x -= t * y; t = b / a; b -= t * a; if (b == 0) { assert(a == 1 || a == -1, "modInv: gcd(a, m) != 1"); if (a == -1) { x = -x; } return (x < 0) ? (x + m) : x; } y -= t * x; } } enum MO = 10L^^9 + 7; int N; long B; int[] A; int[] solveBrute() { auto cnt = new int[N + 1]; auto perm = iota(N).array; do { int g; int mx = -1; foreach (i; 0 .. N) { if (chmax(mx, A[perm[i]])) { ++g; } } ++cnt[g]; } while (perm.nextPermutation); return cnt; } void main() { /* foreach (n; 1 .. 9) { N = n; A = iota(n).array; writeln(n, ": ", solveBrute()); } foreach (n; 1 .. 6) { foreach (s; 0 .. n^^n) { N = n; A = new int[N]; foreach (i; 0 .. N) { A[i] = s / n^^i % n; } writeln("A = ", A, ": ", solveBrute()); } } */ try { for (; ; ) { N = readInt(); B = readLong(); A = new int[N]; foreach (i; 0 .. N) { A[i] = readInt(); } debug { writeln("A = ", A, ": ", solveBrute()); } A.sort; A.reverse; Tuple!(long, long)[] factors; int cnt = 0; long coef = 1; for (int i = 0, j = 0; i < N; i = j) { for (; j < N && A[i] == A[j]; ++j) {} factors ~= tuple!(long, long)(i, j - i); coef *= (j - i); coef %= MO; ++cnt; foreach (k; i + 1 .. j) { coef *= cnt; coef %= MO; ++cnt; } } long prodMax = 1; foreach (f; factors) { prodMax *= f[1]; prodMax %= MO; } coef *= modInv(prodMax, MO); coef %= MO; debug { write(coef); foreach (f; factors) { writef(" (%s + %s q)", f[0], f[1]); } writeln(); } /* (d / dq) (Prod (a_i + b_i q)) = Sum (b_i Prod[j != i] (a_j + b_j q)) */ int zero = 0; long prod = 1; foreach (f; factors) { const t = (f[0] + f[1] * B) % MO; if (t == 0) { ++zero; } else { prod *= t; prod %= MO; } } long ans; foreach (f; factors) { const t = (f[0] + f[1] * B) % MO; if (t == 0) { if (zero == 1) { ans += f[1] * prod; ans %= MO; } } else { if (zero == 0) { ans += f[1] * ((prod * modInv(t, MO)) % MO); ans %= MO; } } } ans *= coef; ans %= MO; ans *= B; ans %= MO; ans = (ans % MO + MO) % MO; writeln(ans); } } catch (EOFException e) { } }