#include #define rep(i,n) for(int i=0;i<(int)n;i++) #define all(c) (c).begin(),(c).end() #define pb push_back #define dbg(...) do{cerr<<__LINE__<<": ";dbgprint(#__VA_ARGS__, __VA_ARGS__);}while(0); using namespace std; namespace std{templatestruct hash>{size_t operator()(const pair&p)const{return ((size_t)1e9+7)*hash()(p.first)+hash()(p.second);}};templatestruct hash>{size_t operator()(const vector &v)const{size_t h=0;for(auto i : v)h=h*((size_t)1e9+7)+hash()(i)+1;return h;}};} templateostream& operator<<(ostream &os, const vector &v){os<<"[ ";rep(i,v.size())os<ostream& operator<<(ostream &os,const set &v){os<<"{ "; for(const auto &i:v)os<ostream& operator<<(ostream &os,const map &v){os<<"{";for(const auto &i:v)os<<" "<ostream& operator<<(ostream &os,const pair &p){return os<<"("<void dbgprint(const string &fmt,const H &h,const T&... r){cerr< vi;typedef pair pi;const int inf = (int)1e9;const double INF = 1e12, EPS = 1e-9; const int mod = 1e9 + 7; const int MX = 110000; ll inv[MX], f[MX], invf[MX]; void calc(){ inv[0] = inv[1] = f[0] = f[1] = invf[0] = invf[1] = 1; for (int i = 2; i < MX; i++){ inv[i] = mod - mod / i * inv[mod % i] % mod; f[i] = f[i - 1] * i % mod; invf[i] = invf[i - 1] * inv[i] % mod; } } inline ll C(ll n, ll k){ return f[n] * invf[k] % mod * invf[n - k] % mod; } int dp[5001]; int main(){ cin.tie(0); cin.sync_with_stdio(0); calc(); int n; cin >> n; map cnt; rep(i, n){ int a; cin >> a; if(a < n) ++cnt[a]; } dp[0] = 1; for(pi p : cnt){ for(int i = n; i >= 0; i--) if(dp[i]){ dp[i + 1] = (dp[i + 1] + dp[i] * (ll)p.second) % mod; } } ll ans = 0; rep(i, n + 1) ans += (mod + (i % 2 ? -1 : 1) * dp[i]) * f[n - i] % mod; cout << ans % mod << endl; return 0; }