//Let's join Kaede Takagaki Fan Club !! #include #include #include using namespace std; typedef long long ll; typedef pair P; typedef pair P1; typedef pair P2; #define pu push #define pb push_back #define mp make_pair #define eps 1e-7 #define INF 1000000000 #define fi first #define sc second #define rep(i,x) for(int i=0;i void dmp(T a){ rep(i,a.size()) cout << a[i] << " "; cout << endl; } template bool chmax(T&a, T b){ if(a < b){ a = b; return 1; } return 0; } template bool chmin(T&a, T b){ if(a > b){ a = b; return 1; } return 0; } template void g(T &a){ cin >> a; } template void o(const T &a,bool space=false){ cout << a << (space?' ':'\n'); } //ios::sync_with_stdio(false); const ll mod = 1000000007;//998244353 template void add(T&a,T b){ a+=b; if(a >= mod) a-=mod; } int n, a[5005]; ll dp[2][5005], w[5005], F[5005]; int main(){ F[0] = 1; repn(i, 5004) F[i] = F[i-1] * i % mod; cin >> n; repn(i, n) { cin >> a[i]; w[a[i]]++; } dp[0][0] = 1; int cur = 0, nxt = 1; rep(j, n){ memset(dp[nxt], 0, sizeof(dp[nxt])); rep(i, j+1){ { add(dp[nxt][i], dp[cur][i]); add(dp[nxt][i+1], dp[cur][i] * w[j] % mod); } } swap(cur, nxt); } ll ans = 0; rep(j, n+1) { if(j%2 == 0) ans += dp[cur][j] * F[n-j] % mod; else ans -= dp[cur][j] * F[n-j] % mod; } printf("%lld\n", (ans%mod+mod)%mod); }