#include <iostream>
#include <algorithm>
#include <iomanip>
#include <vector>
#include <queue>
#include <set>
#include <map>
#include <tuple>
#include <cmath>
#include <numeric>
#include <functional>
#include <cassert>

#define debug_value(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << #x << "=" << x << endl;
#define debug(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << x << endl;

template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; }
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; }

using namespace std;
typedef long long ll;

int n;
ll x, y;
vector<ll> a;

vector<int> as_vec(ll x){
    vector<int> v(60);
    for(int i = 0; i < 60; i++){
        if(((ll)1<<i) & x) v[i] = 1;
        else v[i] = 0;
    }
    return v;
}

bool dfs(int i, vector<int> &p, vector<int> v){
    // debug_value(i);
    if(i < 0) {
        for(int i = 0; i < 60; i++){
            if(x&((ll)1<<i)){
                if(v[i] == 0) return false;
            }else{
                if(v[i] == 1) return false;
            }
        }
        return true;
    }
    auto u = as_vec(a[i]);
    bool ok_or = [&](){
        for(int i = 0; i < 60; i++) {
            if(v[i] != 0) continue;
            if(u[i] == 1) return false;
        }
        return true;
    }();

    bool ok_and = [&](){
        for(int i = 0; i < 60; i++) {
            if(v[i] != 1) continue;
            if(u[i] == 0) return false;
        }
        return true;
    }();

    if(ok_or && ok_and){
        p[i] = 3;
        return true;
    }

    if(ok_or){
        for(int i = 0; i < 60; i++){
            if(v[i] == 1 && u[i] == 1) v[i] = 2;
        }
        p[i] = 2;
        return dfs(i-1, p, v);
    }

    if(ok_and){
        for(int i = 0; i < 60; i++){
            if(v[i] == 0 && u[i] == 0) v[i] = 2;
        }
        p[i] = 1;
        return dfs(i-1, p, v);
    }
    return false;
}

ll test(ll x, vector<int> p){
    for(int i = 0; i < n; i++){
        int t = p[i];
        if(t == 1) x &= a[i];
        if(t == 2) x |= a[i];
        if(t == 3) x = a[i];
    }
    return x;
}

void get_vec(vector<ll> &a){
    int n = a.size();
    for(int i = 0; i < n; i++) cin >> a[i];
}

int main(){
    ios::sync_with_stdio(false);
    cin.tie(0);
    cout << setprecision(10) << fixed;
    cin >> n >> x >> y;
    a.resize(n);
    get_vec(a);
    vector<int> p(n, 1);
    vector<int> v = as_vec(y);
    if(dfs(n-1, p, v)) {
        assert(test(x, p) == y);
        for(int x : p) cout << x << ' ';
        cout << endl;
    }else{
        cout << -1 << endl;
    }
}