#include using namespace std; #include using namespace atcoder; using mint = modint1000000007; void solve() { int N; cin >> N; vector cnt(5001); for (int i = 0; i < N; i++) { int x; cin >> x; cnt[x]++; } vector fact(100000); fact[0] = 1; for (int i = 1; i < 100000; i++) { fact[i] = fact[i - 1] * i; } vector dp(N + 1); dp[0] = 1; for (int i = 0; i < N; i++) { for (int j = N - 1; j >= 0; j--) { dp[j + 1] += dp[j] * cnt[i]; } } mint ans = fact[N]; for (int i = 1; i <= N; i++) { ans += (i % 2 == 1 ? -1 : 1) * dp[i] * fact[N - i]; } cout << ans.val() << endl; } int main() { solve(); }