//#pragma comment(linker, "/stack:200000000")
//#pragma GCC optimize("Ofast")
//#pragma GCC optimize(3)
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
//#pragma GCC target("sse3","sse2","sse")
//#pragma GCC target("avx","sse4","sse4.1","sse4.2","ssse3")
//#pragma GCC target("f16c")
//#pragma GCC optimize("inline","fast-math","unroll-loops","no-stack-protector")
//#pragma GCC diagnostic error "-fwhole-program"
//#pragma GCC diagnostic error "-fcse-skip-blocks"
//#pragma GCC diagnostic error "-funsafe-loop-optimizations"
//#pragma GCC diagnostic error "-std=c++14"
#include "bits/stdc++.h"
//#include "ext/pb_ds/tree_policy.hpp"
//#include "ext/pb_ds/assoc_container.hpp"
#define PB push_back
#define PF push_front
#define LB lower_bound
#define UB upper_bound
#define fr(x) freopen(x,"r",stdin)
#define fw(x) freopen(x,"w",stdout)
#define iout(x) printf("%d\n",x)
#define lout(x) printf("%lld\n",x)
#define REP(x,l,u) for(ll x = l;x<u;x++)
#define RREP(x,l,u) for(ll x = l;x>=u;x--)
#define complete_unique(a) a.erase(unique(a.begin(),a.end()),a.end())
#define mst(x,a) memset(x,a,sizeof(x))
#define all(a) begin(a),end(a)
#define PII pair<int,int>
#define PLL pair<ll,ll>
#define MP make_pair
#define lowbit(x) ((x)&(-(x)))
#define lson (ind<<1)
#define rson (ind<<1|1)
#define se second
#define fi first
#define sz(x) ((int)x.size())
#define EX0 exit(0);

typedef  long long ll;
typedef unsigned long long ull;
typedef double db;
typedef long double ld;
using namespace std;
typedef vector<ll> VLL;
typedef vector<int> VI;
const int block_size = 320;
typedef complex<ll> point;
const ll mod = 998244353;
const ll inf = 1e9+7;
const ld eps = 1e-9;
const db PI = atan(1)*4;
template<typename T>
inline int sign(const T&a) {if(a<0)return -1;if(a>0)return 1;return 0;}
string to_string(string s) {return '"' + s + '"';}string to_string(const char* s) {return to_string((string) s);}string to_string(bool b) {return (b ? "true" : "false");}template <typename A, typename B>string to_string(pair<A, B> p) {return "(" + to_string(p.first) + ", " + to_string(p.second) + ")";}template <typename A>string to_string(A v) {bool first = true;string res = "{";for (const auto &x : v) {if (!first) {res += ", ";}first = false;res += to_string(x);}res += "}";return res;}void debug_out() { cerr << endl; }template <typename Head, typename... Tail>void debug_out(Head H, Tail... T) {cerr << " " << to_string(H);debug_out(T...);}

#ifndef ONLINE_JUDGE
#define dbg(...) cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)
#else
#define dbg(...) {}
#endif

template<typename T,typename S>inline bool upmin(T&a,const S&b){return a>b?a=b,1:0;}
template<typename T,typename S>inline bool upmax(T&a,const S&b){return a<b?a=b,1:0;}

template<typename T> inline void in(T &x) {x = 0;T f = 1;char ch = getchar();while (!isdigit(ch)) {if (ch == '-') f = -1;ch = getchar();}while (isdigit(ch))  {x = x * 10 + ch - '0';ch = getchar();}x *= f;}
ll twop(int x) {return 1LL<<x;}
template<typename T>T MOD(T a, T m){a %= m;if (a < 0)a += m;return a;}
template<typename T>T inverse(T a, T m){a = MOD(a, m);if (a <= 1)return a;return MOD((1 - inverse(m, a) * m) / a, m);}template<typename A,typename B > inline void in(A&x,B&y) {in(x);in(y);}
template<typename A,typename B,typename C>inline void in(A&x,B&y,C&z) {in(x);in(y);in(z);}
template<typename A,typename B,typename C,typename D> inline void in(A&x,B&y,C&z,D&d) {in(x);in(y);in(z);in(d);}
template <typename T>T sqr(T x){return x*x;}
ll gcd(ll a,ll b){while(b!=0){a%=b;swap(a,b);}return a;}
ll fast(ll a,ll b,ll mod){ll ans = 1;while(b){if(b&1){b--;ans = ans * a % mod;}else{a = a * a % mod;b/=2;}}return ans%mod;}


const ll len = 4020;
typedef bitset<len> bs;
namespace SOLVE {
    bs gcd(bs a, bs b){
        while (a.count() and b.count()) {
            int h[2] = {0,0};
            REP(i,0,len){
                if(a[i])h[0] = i;
                if(b[i])h[1] = i;
            }
            if(h[0]<=h[1]){
                b^=a<<(h[1]-h[0]);
            }else{
                a^=b<<(h[0]-h[1]);
            }
        }
        if(a.count())return a;
        return b;
    }
    bs g,x;
    int get_deg(bs x){
        RREP(i,len-1,0)if(x[i])return i;
        return -1;
    }
    bool operator<(const bs&a,const bs&b){
        RREP(i,len-1,0)if(a[i]!=b[i])return a[i]<b[i];
        return false;
    }
    ll ans = 0;
    void main(){
        int n;
        cin>>n>>x;
        
        REP(i,0,n){
            bs b;
            cin>>b;
            g = gcd(b, g);
        }
        int deg = get_deg(g);
        RREP(i,len-1,deg){
            if(x[i]){
                ans += fast(2, i-deg, mod);
                
            }
        }
//        dbg(x.to_string());
//        dbg(g.to_string());
        if(x<g){
            cout<<1<<endl;
            return;
        }
        bs tmp;
        RREP(i,len-1,deg){
            if(x[i] != tmp[i]){
                tmp ^= g<<(i-deg);
            }
        }
        ans += tmp < x or tmp == x;
        cout<< MOD(ans,mod)<<endl;
    }
}


signed main() {
#ifndef ONLINE_JUDGE
#endif
    
    
    
    
    
    int t = 1;
//    in(t);
    while(t--){
        SOLVE::main();

    }
    
    
    
    
    
    
    
    
//    clock_t st = clock();
//    while(clock() - st < 3.0 * CLOCKS_PER_SEC){
//
//    }
    
    
    
    
    
    
    return 0;
}


Measured memory_bytes: 256