#include #include #include #include #include #define REP(i, n) for (int i = 0; i < (n); i++) using namespace std; const int MOD = 1e9 + 7; struct mint { int n; mint(int n_ = 0) : n(n_) {} }; mint operator+(mint a, mint b) { a.n += b.n; if (a.n >= MOD) a.n -= MOD; return a; } mint operator-(mint a, mint b) { a.n -= b.n; if (a.n < 0) a.n += MOD; return a; } mint operator*(mint a, mint b) { return (long long)a.n * b.n % MOD; } mint &operator+=(mint &a, mint b) { return a = a + b; } mint &operator-=(mint &a, mint b) { return a = a - b; } mint &operator*=(mint &a, mint b) { return a = a * b; } mint modpow(mint a, long long b) { mint res = 1; while (b > 0) { if (b & 1) res *= a; a *= a; b >>= 1; } return res; } mint F[200001] = {1, 1}; mint R[200001] = {1, 1}; mint I[200001] = {0, 1}; mint C(int n, int r) { if (n < 0 || r < 0 || n < r) return 0; return F[n] * R[n - r] * R[r]; } void init() { for (int i = 2; i <= 200000; i++) { I[i] = I[MOD % i] * (MOD - MOD / i); F[i] = F[i - 1] * i; R[i] = R[i - 1] * I[i]; } } int main() { init(); int N, R; cin >> N >> R; vector S(N); REP(i, N) cin >> S[i]; sort(S.rbegin(), S.rend()); int i = 0; vector A, B; while (i < N) { int j = i; while (i < N && S[i] == S[j]) i++; A.push_back(F[i - j] * C(i-j + j-1, i-j)); B.push_back(F[i - j] * C(i-j-1 + j, j)); } vector dp0(A.size() + 1); vector dp1(A.size() + 1); dp0[0] = R; for (int i = 0; i < A.size(); i++) { dp0[i+1] += dp0[i] * (A[i] + R*B[i]); dp1[i+1] += dp0[i] * B[i]; dp1[i+1] += dp1[i] * (A[i] + R*B[i]); } cout << dp1[A.size()].n << '\n'; }