#include<bits/stdc++.h>
#define Gc() getchar() 
#define Me(x,y) memset(x,y,sizeof(x))
#define Mc(x,y) memcpy(x,y,sizeof(x))
#define d(x,y) ((m)*(x-1)+(y))
#define R(n) (rnd()%(n)+1)
#define Pc(x) putchar(x)
#define LB lower_bound
#define UB upper_bound
#define PB push_back
#define fi first
#define se second
using ll=long long;using db=double;using lb=long db;using ui=unsigned;using ull=unsigned long long;using LL=__int128;
using namespace std;const int N=18+5,M=(1<<18)+5,K=600,mod=998244353,Mod=mod-1;const db eps=1e-9;const int INF=1e9+7;mt19937 rnd(263082);
int n,m,k,x,y,z;ll R[N],L[60],f[M],g[M];char s[N];
int main(){
	int i,j,h;scanf("%d",&n);k=(1<<n);
	for(i=0;i<n;i++) scanf("%lld",&R[i]);
	scanf("%s",s);
	f[k-1]=1;for(i=2;~i;i--){
		for(j=0;j<n;j++) L[i]|=(R[j]>>i&1)<<j;
		Mc(g,f);Me(f,0);for(j=0;j<k;j++) if(s[j]=='1'){
			int x=j|(k-1-L[i]),y=(k-1-j)|L[i];
			for(h=0;h<k;h++) if((h|y)==y) f[h&x]=(f[h&x]+g[h])%mod;
		}
	}
	ll Sum=0;for(i=0;i<k;i++) Sum+=f[i];
	printf("%lld\n",Sum%mod);
}