#include<iostream>
#include<string>
#include<cstdio>
#include<vector>
#include<cmath>
#include<algorithm>
#include<functional>
#include<iomanip>
#include<queue>
#include<ciso646>
#include<random>
#include<map>
#include<set>
#include<complex>
#include<bitset>
#include<stack>
#include<unordered_map>
#include<utility>
#include<tuple>
using namespace std;
typedef long long ll;
typedef unsigned int ui;
const ll mod = 1000000007;
const ll INF = (ll)1000000007 * 1000000007;
typedef pair<int, int> P;
#define stop char nyaa;cin>>nyaa;
#define rep(i,n) for(int i=0;i<n;i++)
#define per(i,n) for(int i=n-1;i>=0;i--)
#define Rep(i,sta,n) for(int i=sta;i<n;i++)
#define Per(i,sta,n) for(int i=n-1;i>=sta;i--)
#define rep1(i,n) for(int i=1;i<=n;i++)
#define per1(i,n) for(int i=n;i>=1;i--)
#define Rep1(i,sta,n) for(int i=sta;i<=n;i++)
typedef long double ld;
typedef complex<ld> Point;
const ld eps = 1e-8;
const ld pi = acos(-1.0);
typedef pair<ll, ll> LP;

int n,x[62];
ll L,R,a[200010],dp[62][2][2];
bool l[62],r[62];

ll rec(int k,int flagL,int flagR){
  if(k==-1) return 1;
  if(dp[k][flagL][flagR]!=-1) return dp[k][flagL][flagR];
  ll res=0;
  // 1
  if(x[k]!=0 && (flagR || r[k]==1)) res+=rec(k-1,flagL||(l[k]==0),flagR);
  // 0
  if(x[k]!=1 && (flagL || l[k]==0)) res+=rec(k-1,flagL,flagR||(r[k]==1));
  dp[k][flagL][flagR]=res;
  //cout << k << " " << flagL << " " << flagR << " " << res << endl;
  return res;
}

void solve(){
  cin >> n >> L >> R;
  rep(k,62){
    l[k]=(L & (1ll << k));
    r[k]=(R & (1ll << k));
    //cout << l[k] << " " << r[k] << endl;
    rep(flagL,2){
      rep(flagR,2){
        dp[k][flagL][flagR]=-1;
      }
    }
  }
  rep(i,n){
    cin >> a[i];
  }
  per(k,62){
    x[k]=-1;
  }

  set<int> se{0,n};
  per(k,62){
    bool first,changed=false;
    auto idx=se.begin();
    vector<int> v={};
    //cout << k << endl;
    rep(i,n){
      bool b=(a[i]&(1ll << k));
      //cout << b << " ";
      if (*idx==i) {
        first=b;
        idx++;
        changed=false;
        continue;
      }
      bool pre_b=(a[i-1]&(1ll << k));
      if (pre_b!=b){
        v.push_back(i);
        if(changed) {
          cout << 0 << endl;
          return;
        }
        else{
          changed=true;
          int s=pre_b;
          if(x[k]==-1 || x[k]==s){
            x[k]=s;
          }
          else {
            cout << 0 << endl;
            return;
          }
        }
      }
    }
    for(int v_:v){
      se.insert(v_);
      //cout << v_ << " ";
    }
    //cout << "" << endl;
  }
  per(i,62){
    //cout << x[i] << " ";
  }
  //cout << "" << endl;
  cout << rec(61,0,0) << endl;
}

int main(){
    ios::sync_with_stdio(false);
    cin.tie(0);
    cout << fixed << setprecision(50);
    solve();
}