#include <bits/stdc++.h>

using namespace std;
typedef long long ll;
typedef pair<ll, ll> p_ll;

template<class T>
void debug(T itr1, T itr2) { auto now = itr1; while(now<itr2) { cout << *now << " "; now++; } cout << endl; }
#define repr(i,from,to) for (ll i=(ll)from; i<(ll)to; i++)
#define all(vec) vec.begin(), vec.end()
#define rep(i,N) repr(i,0,N)
#define per(i,N) for (int i=(int)N-1; i>=0; i--)

const ll LLINF = pow(2,61)-1;
const int INF = pow(2,30)-1;

// ----------------------------------------------------------------------
// ----------------------------------------------------------------------

const ll MOD = 998244353;
struct MLL {
  ll x, mod;
  MLL(ll y=0, ll m=MOD) { x = y; mod = m; }

  MLL &operator+= (const MLL &p) { x = (x+p.x)%mod;       return *this; }
  MLL &operator-= (const MLL &p) { x = (x-p.x+mod)%mod;   return *this; }
  MLL &operator*= (const MLL &p) { x = (x*p.x)%mod;       return *this; }
  MLL &operator/= (const MLL &p) { x = (x*p.inv().x)%mod; return *this; }
  MLL  operator+  (const MLL &p) const { return MLL(*this)+=p; }
  MLL  operator-  (const MLL &p) const { return MLL(*this)-=p; }
  MLL  operator*  (const MLL &p) const { return MLL(*this)*=p; }
  MLL  operator/  (const MLL &p) const { return MLL(*this)/=p; }
  bool operator== (const MLL &p) const { return x==p.x; }
  bool operator!= (const MLL &p) const { return x!=p.x; }
  bool operator<  (const MLL &p) const { return x< p.x; }
  bool operator<= (const MLL &p) const { return x<=p.x; }
  bool operator>  (const MLL &p) const { return x> p.x; }
  bool operator>= (const MLL &p) const { return x>=p.x; }
  MLL pow(MLL n) const { MLL result(1), p(x); ll tn = n.x; while(tn){ if (tn&1) result*=p; p*=p; tn>>=1; } return result; }
  MLL inv() const { return pow(MOD-2); }
};

MLL operator+ (ll x, MLL p) { return (MLL)x+p; }
MLL operator- (ll x, MLL p) { return (MLL)x-p; }
MLL operator* (ll x, MLL p) { return (MLL)x*p; }
MLL operator/ (ll x, MLL p) { return (MLL)x/p; }

vector<MLL> fac;
void c_fac(ll x=pow(10,7)+10) { fac.resize(x); rep(i,x) fac[i] = i ? fac[i-1]*i : 1; }
vector<vector<MLL>> nck;
void c_nck(ll N) {
  nck.resize(N+1, vector<MLL>(N+1));
  nck[0][0] = 1;
  rep(i,N+1) rep(j,N+1) {
    if (i) nck[i][j] += nck[i-1][j];
    if (i&&j) nck[i][j] += nck[i-1][j-1];
  }
}
// MLL nck(MLL n, MLL k) { return n<0||n<k?0:fac[n.x]/(fac[k.x]*fac[(n-k).x]); };


ostream &operator<< (ostream &ost, const MLL &p) { return ost << p.x; }
istream &operator>> (istream &ist, MLL &p) { return ist >> p.x; }

// ----------------------------------------------------------------------
// ----------------------------------------------------------------------

int main() {
  ll N; cin >> N;
  string S; cin >> S;
  ll c0 = 0, c1 = 0; rep(i,N) { if (S[i]=='0') c0++; else c1++; }
  c_fac(N+1);
  c_nck(N);

  assert(1<=N && N<=5000);
  rep(i,N) assert(S[i]=='0'||S[i]=='1');

  vector<vector<MLL>> dp(N+1, vector<MLL>(N+1)); dp[0][0] = 1;
  rep(i,N) rep(j,N+1) {
    if (i+2<=N&&j+1<=N) dp[i+2][j+1] += dp[i][j] * (i+1);
    if (j+1<=N) dp[i+1][j+1] += dp[i][j] * (i-j);
    dp[i+1][j] += dp[i][j] * j;
  }
  // rep(i,N+1) debug(all(dp[i]));

  MLL result = 0;
  rep(eq01,N+1) {
    MLL select_eq = nck[c0+c1][eq01] * fac[eq01];
    rep(eq0,eq01+1) {
      ll eq1 = eq01 - eq0;
      if (eq0>c0||eq1>c1) continue;
      MLL select_01 = nck[c0][eq0] * fac[c0-eq0] * nck[c1][eq1] * fac[c1-eq1];
      result += select_eq * select_01 * dp[N-eq01][c0-eq0];
      // cout << eq0 << " " << eq1 << "->" << select_eq * select_01 * dp[N-eq01][c0-eq0] << endl;
    }
  }

  cout << result << endl;
  return 0;
}