#include <bits/stdc++.h>

#include <atcoder/all>

using namespace std;
using namespace atcoder;
 
#define DEBUG(x) cerr<<#x<<": "<<x<<endl;
#define DEBUG_VEC(v) cerr<<#v<<":";for(int i=0;i<v.size();i++) cerr<<" "<<v[i]; cerr<<endl;
#define DEBUG_MAT(v) cerr<<#v<<endl;for(int i=0;i<v.size();i++){for(int j=0;j<v[i].size();j++) {cerr<<v[i][j]<<" ";}cerr<<endl;}
typedef long long ll;
// #define int ll

#define vi vector<int>
#define vl vector<ll>
#define vii vector< vector<int> >
#define vll vector< vector<ll> >
#define vs vector<string>
#define pii pair<int,int>
#define pis pair<int,string>
#define psi pair<string,int>
#define pll pair<ll,ll>
template<class S, class T> pair<S, T> operator+(const pair<S, T> &s, const pair<S, T> &t) { return pair<S, T>(s.first + t.first, s.second + t.second); }
template<class S, class T> pair<S, T> operator-(const pair<S, T> &s, const pair<S, T> &t) { return pair<S, T>(s.first - t.first, s.second - t.second); }
template<class S, class T> ostream& operator<<(ostream& os, pair<S, T> p) { os << "(" << p.first << ", " << p.second << ")"; return os; }
#define X first
#define Y second
#define rep(i,n) for(int i=0;i<(int)(n);i++)
#define rep1(i,n) for(int i=1;i<=(int)(n);i++)
#define rrep(i,n) for(int i=(int)(n)-1;i>=0;i--)
#define rrep1(i,n) for(int i=(int)(n);i>0;i--)
#define REP(i,a,b) for(int i=a;i<b;i++)
#define in(x, a, b) (a <= x && x < b)
#define all(c) c.begin(),c.end()
template<class T> bool chmax(T &a, const T &b) { if (a<b) { a = b; return 1; } return 0; }
template<class T> bool chmin(T &a, const T &b) { if (a>b) { a = b; return 1; } return 0; }
#define UNIQUE(v) v.erase(std::unique(v.begin(), v.end()), v.end());
const ll inf = 1000000001;
const ll INF = (ll)1e18 + 1;
const long double pi = 3.1415926535897932384626433832795028841971L;
#define Sp(p) cout<<setprecision(25)<< fixed<<p<<endl;
// int dx[4] = {1, 0, -1, 0}, dy[4] = {0, 1, 0, -1};
// int dx2[8] = { 1,1,0,-1,-1,-1,0,1 }, dy2[8] = { 0,1,1,1,0,-1,-1,-1 };
vi dx = {1, 0, -1, 0}, dy = {0, 1, 0, -1};
// vi dx2 = { 1,1,0,-1,-1,-1,0,1 }, dy2 = { 0,1,1,1,0,-1,-1,-1 };
#define fio() cin.tie(0); ios::sync_with_stdio(false);
// const ll MOD = 1000000007;
const ll MOD = 998244353;
// #define mp make_pair
//#define endl '\n'

const int MAXN = 555555;

vl fact(MAXN);
vl rfact(MAXN);

ll mod_pow(ll x, ll p, ll M = MOD) {
  if (p < 0) {
    x = mod_pow(x, M - 2, M);
    p = -p;
  }
  ll a = 1;
  while (p) {
    if (p % 2)
      a = a*x%M;
    x = x*x%M;
    p /= 2;
  }
  return a;
}

ll mod_inverse(ll a, ll M = MOD) {
  return mod_pow(a, M - 2, M);
}

void set_fact(ll n, ll M = MOD) {
  fact[0] = 1;
  for (ll i = 1; i <= n; i++) {
    fact[i] = i * fact[i - 1] % M;
  }
  rfact[n] = mod_inverse(fact[n], M);
  for (ll i = n - 1; i >= 0; i--) {
      rfact[i] = (i + 1) * rfact[i + 1] % M;
  }
}

//http://drken1215.hatenablog.com/entry/2018/06/08/210000
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ll nCr(ll n, ll r, ll M = MOD) {
  if (r > n) return 0;
  assert(fact[2] == 2);
  ll ret = fact[n];
  if (rfact[r] == 0) {
    rfact[r] = mod_inverse(fact[r], M);
  }
  ret = (ret*rfact[r]) % M;
  if (rfact[n - r] == 0) {
    rfact[n - r] = mod_inverse(fact[n - r], M);
  }
  ret = (ret*rfact[n - r]) % M;
  return ret;
}

ll nHr(ll n, ll r) {
  return nCr(n+r-1, r);
}

signed main() {
    fio();
    int n;
    cin >> n;
    n *= 2;
    map<ll, int> mp;
    rep (i, n) {
        int x;
        cin >> x;
        mp[x]++;
    }
    set_fact(n + 10);
    vl ffact(n + 10);
    ffact[0] = 1;
    for (int i = 2; i <= n + 3; i += 2) {
        ffact[i] = ffact[i - 2] * (i - 1) % MOD;
    }

    vi num;
    for (auto itr = mp.begin(); itr != mp.end(); itr++) {
        num.push_back(itr->second);
    }

    vll op(num.size());
    rep (i, num.size()) {
        int x = num[i];
        op[i].resize(x + 1);
        for (int k = 0; k <= x; k += 2) {
            op[i][k] = nCr(x, k) * ffact[k] % MOD;
        }
    }

    priority_queue<pii, vector<pii>, greater<pii>> pq;
    rep (i, num.size()) pq.push(pii(op[i].size(), i));

    while (pq.size() > 1) {
        int u = pq.top().second;
        pq.pop();
        int v = pq.top().second;
        pq.pop();

        op[u] = convolution<MOD>(op[u], op[v]);
        pq.push(pii(op[u].size(), u));
    }
    vl a = op[pq.top().second];
    // vl a(1, 1);
    // rep (i, num.size()) {
    //     a = convolution<MOD>(a, op[i]);
    // }

    ll ans = 0;
    for (int i = 0; i <= n; i += 2) {
        int k = i / 2;
        ll nokori = n - i;
        (a[i] *= ffact[nokori]) %= MOD;
        if (k % 2 == 0) ans += a[i];
        else ans -= a[i];
    }
    cout << (ans % MOD + MOD) % MOD << endl;
    return 0;

}

Measured memory_bytes: 39800