#include using namespace std; #include using namespace atcoder; using mint = modint1000000007; #define all(x) (x).begin(),(x).end() #define rep(i, n) for (int i = 0; i < (n); i++) #define endl "\n" #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") typedef long long ll; typedef pair pii; typedef pair pll; template ostream &operator<<(ostream &os, const vector &vec) {os << "["; for (const auto &v : vec) {os << v << ","; } os << "]"; return os;} template ostream &operator<<(ostream &os, const pair &p) {os << "(" << p.first << ", " << p.second << ")"; return os;} ll mod_pow(ll a, ll n, ll mod) { ll ret = 1; ll p = a % mod; while (n) { if (n & 1) ret = ret * p % mod; p = p * p % mod; n >>= 1; } return ret; } const int mod = 1e9 + 7; void solve() { int N; cin >> N; vector cnt(N + 1); 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() { #ifdef LOCAL_ENV cin.exceptions(ios::failbit); #endif cin.tie(0); ios::sync_with_stdio(false); cout.setf(ios::fixed); cout.precision(16); solve(); }