#include <bits/stdc++.h>

//    #include <boost/multiprecision/cpp_int.hpp>
 #define int long long
 #define inf  1000000007
 #define pa pair<int,int>
 #define ll long long
 #define pal pair<double,double>
 #define ppap pair<pa,int>
  #define PI 3.14159265358979323846
  #define paa pair<int,char>
  #define  mp make_pair
  #define  pb push_back
  #define EPS (1e-10)
                                          
    int dx[8]={0,1,0,-1,1,1,-1,-1};
    int dy[8]={1,0,-1,0,-1,1,1,-1};
                                            using namespace std;
                                   			class pa3{
                                            	public:
                                            	int x;
                                   				int y,z;
                                            	pa3(int x=0,int y=0,int z=0):x(x),y(y),z(z) {}
                                            	bool operator < (const pa3 &p) const{
                                            		if(x!=p.x) return x<p.x;
                                            		if(y!=p.y) return y<p.y;
                                            		 return z<p.z;
                                            		//return x != p.x ? x<p.x: y<p.y;
                                            	}
                                   				bool operator > (const pa3 &p) const{
                                            		if(x!=p.x) return x>p.x;
                                            		if(y!=p.y) return y>p.y;
                                            		 return z>p.z;
                                            		//return x != p.x ? x<p.x: y<p.y;
                                            	}
                                            	bool operator == (const pa3 &p) const{
                                            		return x==p.x && y==p.y && z==p.z;
                                            	}
                                            		bool operator != (const pa3 &p) const{
                                            			return !( x==p.x && y==p.y && z==p.z);
                                            	}
                                            
                                            };
                                            
                                            class pa4{
                                            	public:
                                            	int x;
                                            	int y,z,w;
                                            	pa4(int x=0,int y=0,int z=0,int w=0):x(x),y(y),z(z),w(w) {}
                                            	bool operator < (const pa4 &p) const{
                                            		if(x!=p.x) return x<p.x;
                                            		if(y!=p.y) return y<p.y;
                                            		if(z!=p.z)return z<p.z;
                                            		return w<p.w;
                                            		//return x != p.x ? x<p.x: y<p.y;
                                            	}
                                            	bool operator > (const pa4 &p) const{
                                            		if(x!=p.x) return x>p.x;
                                            		if(y!=p.y) return y>p.y;
                                            		if(z!=p.z)return z>p.z;
                                            		return w>p.w;
                                            		//return x != p.x ? x<p.x: y<p.y;
                                            	}
                                            	bool operator == (const pa4 &p) const{
                                            		return x==p.x && y==p.y && z==p.z &&w==p.w;
                                            	}
                                            		
                                            
                                            };
                                            class pa2{
                                            	public:
                                            	int x,y;
                                            	pa2(int x=0,int y=0):x(x),y(y) {}
                                            	pa2 operator + (pa2 p) {return pa2(x+p.x,y+p.y);}
                                            	pa2 operator - (pa2 p) {return pa2(x-p.x,y-p.y);}
                                            	bool operator < (const pa2 &p) const{
                                            		return y != p.y ? y<p.y: x<p.x;
                                            	}
                                            	bool operator > (const pa2 &p) const{
                                            		return x != p.x ? x<p.x: y<p.y;
                                            	}
                                            	bool operator == (const pa2 &p) const{
                                            		return abs(x-p.x)==0 && abs(y-p.y)==0;
                                            	}
                                            	bool operator != (const pa2 &p) const{
                                            		return !(abs(x-p.x)==0 && abs(y-p.y)==0);
                                            	}
                                            		
                                            
                                            };
                                            

                      
                                string itos( int i ) {
                                ostringstream s ;
                                s << i ;
                                return s.str() ;
                                }
                                 
                                int gcd(int v,int b){
                                	if(v>b) return gcd(b,v);
                                	if(v==b) return b;
                                	if(b%v==0) return v;
                                	return gcd(v,b%v);
                                }
                 
                            
                                int mod;
int extgcd(int a, int b, int &x, int &y) {
    if (b == 0) {
        x = 1;
        y = 0;
        return a;
    }
    int d = extgcd(b, a%b, y, x);
    y -= a/b * x;
    return d;
}
pa operator+(const pa & l,const pa & r) {   
    return {l.first+r.first,l.second+r.second};                                    
}    
pa operator-(const pa & l,const pa & r) {   
    return {l.first-r.first,l.second-r.second};                                    
}  
                                
                int pr[1200010];
                int inv[1200010];
                
                int beki(int wa,int rr,int warukazu){
                	if(rr==0) return 1%warukazu;
                	if(rr==1) return wa%warukazu;
                	wa%=warukazu;
                	if(rr%2==1) return ((ll)beki(wa,rr-1,warukazu)*(ll)wa)%warukazu;
                	ll zx=beki(wa,rr/2,warukazu);
                	return (zx*zx)%warukazu;
                }

                
    			int comb(int nn,int rr){
    				if(rr<0 || rr>nn || nn<0) return 0;
    				int r=pr[nn]*inv[rr];
    				r%=mod;
    				r*=inv[nn-rr];
    				r%=mod;
    				return r;
    			}
                
                void gya(int ert){
                	pr[0]=1;
                	for(int i=1;i<=ert;i++){
                		pr[i]=(pr[i-1]*i)%mod;
                	}
                		inv[ert]=beki(pr[ert],mod-2,mod);
                	for(int i=ert-1;i>=0;i--){
                		inv[i]=inv[i+1]*(i+1)%mod;
                	}
                }
                
              //   cin.tie(0);
    		//	ios::sync_with_stdio(false);
    			//priority_queue<pa3,vector<pa3>,greater<pa3>> pq;            
                 //sort(ve.begin(),ve.end(),greater<int>());
//    mt19937(clock_per_sec);
  //  mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count()) ;
      
       
       
                               //----------------kokomade tenpure------------


string gcd(string s,string t){
	while(s.back()=='0')s.pop_back();
	while(t.back()=='0')t.pop_back();
	if(s==t) return s;
	
	if(s.length()<t.length()){
		return gcd(t,s);
	}
	if(s.length()==t.length()){
		int l=t.length();
		for(int i=0;i<l;i++)if(s[i]=='1'){
			if(t[i]=='1')t[i]='0';
			else t[i]='1';
		}
		return gcd(s,t);
	}
	{
		int ls=s.length();
		int lt=t.length();
		
		for(int i=0;i<lt;i++)if(t[i]=='1'){
			if(s[i+ls-lt]=='1')s[i+ls-lt]--;
			else s[i+ls-lt]++;
		}
		
		bool bo=0;
		for(auto c:s)if(c=='1')bo=1;
		if(!bo) return t;
		return gcd(s,t);
	
	}
}

 signed main(){
 	

    	       cin.tie(0);
   			ios::sync_with_stdio(false);
int n;
 	string x;
 	cin>>n>>x;
 	reverse(x.begin(),x.end());
 	string s;
 	cin>>s;
 	reverse(s.begin(),s.end());
 	for(int i=1;i<n;i++){
 		string ss;
 		cin>>ss;
 		
 	reverse(ss.begin(),ss.end());
 		s=gcd(s,ss);
 //		cout<<i<<" "<<s<<endl;
 	}
 //	cout<<s<<endl;
 	mod=998244353;
 	int ans=0;
 	
 	int l=x.length();
 	
 	int r=s.length();
 	
 	if(l<r){
 		cout<<1<<endl;
 		return 0;
 	}
 	

 	
 	string ima="";
 	for(int i=0;i<l-r;i++)ima+="0";
 	ima+=s;
 //	cout<<ans<<endl;
 	for(int i=l-1;i>r-2;i--){
 		if(ima[i]=='0' && x[i]=='0'){
 			goto lll;
 		}
 		else if(ima[i]=='0' &&x[i]=='1'){
 			ans+=beki(2,i-(r-1),mod);
 			ans%=mod;
 		}
 		else if(ima[i]=='1' &&x[i]=='0'){
 			
 		}
 		else{
 			ans+=beki(2,i-(r-1),mod);
 			ans%=mod;
 			goto lll;
 		}
 		
 		for(int j=0;j<r;j++){
 			if(s[j]=='1'){
 				if(ima[i-r+1+j]=='1')ima[i-r+1+j]--;
 				else ima[i-r+1+j]++;
 			}
 		}
 		lll:;
 	//	cout<<ans<<" "<<ima<<" "<<i-r+1<<endl;
 	}
 	
 	bool b=0;
 	for(int i=l-1;i>=0;i--){
 		if(x[i]>ima[i]){
 			b=1;
 			break;
 		}
 		else if(x[i]<ima[i]){
 			goto ll2;
 		}
 	}
 	
 	ans++;
 	ll2:;
 	/*
 	b=0;
 	
 	for(int i=0;i<r;i++){
 		if(s[i]=='1'){
 			if(ima[i]=='0')ima[i]++;
 			else ima[i]--;
 		}
 	}
 	 	for(int i=l-1;i>=0;i--){
 		if(x[i]>ima[i]){
 			b=1;
 			break;
 		}
 		else if(x[i]<ima[i]){
 			break;
 		}
 	}
 	
 	if(b)ans++;
 	*/
 	cout<<ans%mod<<endl;
 	
 	
  	return 0;
  }
  

Measured memory_bytes: 21248