#include <bits/stdc++.h>
using namespace std;
typedef signed long long ll;

#define _P(...) (void)printf(__VA_ARGS__)
#define FOR(x,to) for(x=0;x<(to);x++)
#define FORR(x,arr) for(auto& x:arr)
#define FORR2(x,y,arr) for(auto& [x,y]:arr)
#define ALL(a) (a.begin()),(a.end())
#define ZERO(a) memset(a,0,sizeof(a))
#define MINUS(a) memset(a,0xff,sizeof(a))
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;}
//-------------------------------------------------------

int N;
string S;
const ll mo=998244353;
ll dp[5050][5050];

const int NUM_=400001;
static ll fact[NUM_+1],factr[NUM_+1],inv[NUM_+1];

ll comb(ll N_, ll C_) {
	if(C_<0 || C_>N_) return 0;
	return factr[C_]*fact[N_]%mo*factr[N_-C_]%mo;
}
ll P(ll N_, ll C_) {
	if(C_<0 || C_>N_) return 0;
	return factr[N_-C_]*fact[N_]%mo;
}

void solve() {
	int i,j,k,l,r,x,y; string s;
	
	inv[1]=fact[0]=factr[0]=1;
	for (int i=2;i<=NUM_;++i) inv[i] = inv[mo % i] * (mo - mo / i) % mo;
	for (int i=1;i<=NUM_;++i) fact[i]=fact[i-1]*i%mo, factr[i]=factr[i-1]*inv[i]%mo;
	
	cin>>N>>S;
	int C[2]={};
	FORR(c,S) C[c-'0']++;
	
	dp[0][0]=1;
	for(i=2;i<=5000;i++) {
		for(j=1;j<=i;j++) dp[i][j]=(dp[i-2][j-1]*(i-1)+dp[i-1][j]*j+dp[i-1][j-1]*(i-j))%mo;
	}
	
	
	ll ret=0;
	FOR(x,C[0]+1) FOR(y,C[1]+1) {
		ret+=dp[x+y][x]*comb(C[0],x)%mo*fact[x]%mo*comb(C[1],y)%mo*fact[y]%mo*P(N,N-x-y)%mo;
	}
	cout<<ret%mo<<endl;
	
	
}


int main(int argc,char** argv){
	string s;int i;
	if(argc==1) ios::sync_with_stdio(false), cin.tie(0);
	FOR(i,argc-1) s+=argv[i+1],s+='\n'; FOR(i,s.size()) ungetc(s[s.size()-1-i],stdin);
	cout.tie(0); solve(); return 0;
}