#include <bits/stdc++.h>

#include <unistd.h>
 
using namespace std;
 
#define DEBUG(x) cerr<<#x<<": "<<x<<endl;
#define DEBUG_VEC(v) cerr<<#v<<":";for(int i=0;i<v.size();i++) cerr<<" "<<v[i]; cerr<<endl
#define DEBUG_MAT(v) cerr<<#v<<endl;for(int i=0;i<v.size();i++){for(int j=0;j<v[i].size();j++) {cerr<<v[i][j]<<" ";}cerr<<endl;}
 
 
typedef long long ll;
//#define int ll
 
#define vi vector<int>
#define vl vector<ll>
#define vii vector< vector<int> >
#define vll vector< vector<ll> >
#define vs vector<string>
#define pii pair<int,int>
#define pis pair<int,string>
#define psi pair<string,int>
#define pll pair<ll,ll>
template<class S, class T> pair<S, T> operator+(const pair<S, T> &s, const pair<S, T> &t) { return pair<S, T>(s.first + t.first, s.second + t.second); }
template<class S, class T> pair<S, T> operator-(const pair<S, T> &s, const pair<S, T> &t) { return pair<S, T>(s.first - t.first, s.second - t.second); }
template<class S, class T> ostream& operator<<(ostream& os, pair<S, T> p) { os << "(" << p.first << ", " << p.second << ")"; return os; }
#define X first
#define Y second
#define rep(i,n) for(int i=0;i<(n);i++)
#define rep1(i,n) for(int i=1;i<=(n);i++)
#define rrep(i,n) for(int i=(n)-1;i>=0;i--)
#define rrep1(i,n) for(int i=(n);i>0;i--)
#define REP(i,a,b) for(int i=a;i<b;i++)
#define in(x, a, b) (a <= x && x < b)
#define all(c) c.begin(),c.end()
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; }
#define UNIQUE(v) v.erase(std::unique(v.begin(), v.end()), v.end());
const ll inf = 1000000001;
const ll INF = (ll)1e18 + 1;
const double pi = 3.14159265358979323846;
#define Sp(p) cout<<setprecision(15)<< fixed<<p<<endl;
int dx_ori[4] = { -1,0, 1,0 }, dy_ori[4] = { 0,1,0,-1 };
int dx[4] = {0, 0, 0, 0}, dy[4] = {0, 0, 0, 0};
int dx2[8] = { 1,1,0,-1,-1,-1,0,1 }, dy2[8] = { 0,1,1,1,0,-1,-1,-1 };
#define fio() cin.tie(0); ios::sync_with_stdio(false);
//const ll MOD = 1000000007;
const ll MOD = 998244353;
// #define mp make_pair
//#define endl '\n'

const int M = 4000;
#define bit bitset<M>

bool eq_less(bit a, bit b) {
  bool is_big = false;
  rrep (i, M) {
    if (a[i] != b[i]) {
      if (a[i]) is_big = true;
      break;
    }
  }
  return not is_big;
}

bit gcd(bit a, bit b) {
  //DEBUG(make_pair(a, b));
  if (eq_less(a, b)) swap(a, b);

  int da = -1, db = -1;
  rrep (i, M) {
    if (da == -1 and a[i]) {
      da = i;
    }
    if (db == -1 and b[i]) {
      db = i;
    }
  }
  //DEBUG(pii(da, db));
  if (db == -1) {
    return a;
  }
  assert(db <= da);
  bit b2 = b << (da - db);
  bit r = a ^ b2;
  return gcd(b, r);
}

bitset<M> convert(string x) {
  int n = x.size();
  string pad(M - n, '0');
  x = pad + x;
  return bitset<M>(x);
}

signed main() {
  int n;
  string _x;
  cin >> n >> _x;
  bitset<M> x = convert(_x);
  
  vector<bitset<M>> a;
  rep (i, n) {
    string _s;
    cin >> _s;
    a.push_back(convert(_s));
  }

  bit p = a[0];
  rep1 (i, n - 1) {
    p = gcd(p, a[i]);
  }
  //DEBUG(p);

  int top;
  rrep (i, M) {
    if (p[i]) {
      top = i;
      break;
    }
  }

  vl power(M + 1);
  power[0] = 1;
  rep (i, M) {
    power[i + 1] = power[i] * 2 % MOD;
  }
  //DEBUG(top);
  bit x2 = x >> (top + 1);
  //DEBUG(x2);
  ll ans = 0;
  rep (i, M) {
    if (x2[i]) (ans += power[i]) %= MOD;
  }
  ans = (ans - 1 + 1) * 2 % MOD;

  bit now;
  int op_num = M - top - 1;
  rep (i, op_num) {
    if (x[M - 1 -i] != now[top]) now = now ^ p;
    now <<= 1;
  }
  
  if (eq_less(now, x)) ans++;
  now = now ^ p;
  if (eq_less(now, x)) ans++;
  cout << ans << endl;
}


Measured memory_bytes: 14464