#include "bits/stdc++.h" using namespace std; typedef long long ll; typedef pair pii; typedef pair pll; const int INF = 1e9; const ll LINF = 1e18; template ostream& operator << (ostream& out,const pair& o){ out << "(" << o.first << "," << o.second << ")"; return out; } template ostream& operator << (ostream& out,const vector V){ for(int i = 0; i < V.size(); i++){ out << V[i]; if(i!=V.size()-1) out << " ";} return out; } template ostream& operator << (ostream& out,const vector > Mat){ for(int i = 0; i < Mat.size(); i++) { if(i != 0) out << endl; out << Mat[i];} return out; } template ostream& operator << (ostream& out,const map mp){ out << "{ "; for(auto it = mp.begin(); it != mp.end(); it++){ out << it->first << ":" << it->second; if(mp.size()-1 != distance(mp.begin(),it)) out << ", "; } out << " }"; return out; } /* 問題文============================================================ ================================================================= 解説============================================================= ================================================================ */ const ll MOD =1e9+7; ll solve(){ ll res = 0; int N; cin >> N; vector A(N); for(auto& in:A) cin >> in; vector fact(N+1); fact[0] = 1; for(int i = 1; i <=N;i++) (fact[i] = fact[i-1]*i)%=MOD; vector X(N); for(auto a:A) if(a < N) X[a]++; vector dp(N+1); dp[0] = 1; for(int i = 0; i < N;i++){ for(int x = N; x >= 0; x--){ if(dp[x]){ (dp[x+1] += X[i]*dp[x])%=MOD; } } } for(int i = 0; i <= N;i++) (res += MOD + ((i%2)?-1:1)*dp[i]*fact[N-i]%MOD)%=MOD; return res; } int main(void) { cin.tie(0); ios_base::sync_with_stdio(false); cout << solve() << endl; return 0; }