#define _USE_MATH_DEFINES #include using namespace std; #define FOR(i,m,n) for(int i=(m);i<(n);++i) #define REP(i,n) FOR(i,0,n) #define ALL(v) (v).begin(),(v).end() using ll = long long; constexpr int INF = 0x3f3f3f3f; constexpr long long LINF = 0x3f3f3f3f3f3f3f3fLL; constexpr double EPS = 1e-8; constexpr int MOD = 1000000007; // constexpr int MOD = 998244353; constexpr int dy[] = {1, 0, -1, 0}, dx[] = {0, -1, 0, 1}; constexpr int dy8[] = {1, 1, 0, -1, -1, -1, 0, 1}, dx8[] = {0, -1, -1, -1, 0, 1, 1, 1}; template inline bool chmax(T &a, U b) { return a < b ? (a = b, true) : false; } template inline bool chmin(T &a, U b) { return a > b ? (a = b, true) : false; } struct IOSetup { IOSetup() { std::cin.tie(nullptr); std::ios_base::sync_with_stdio(false); std::cout << fixed << setprecision(20); } } iosetup; int main() { constexpr int B = 60; int n; ll x, y; cin >> n >> x >> y; auto out = [&](string &ans) { while (ans.size() < n) ans += '3'; reverse(ALL(ans)); REP(i, n) cout << ans[i] << " \n"[i + 1 == n]; exit(0); }; vector a(n); REP(i, n) cin >> a[i]; vector d(B); REP(i, B) d[i] = y >> i & 1; vector, string>> que; { vector bit(B); iota(ALL(bit), 0); que.emplace_back(bit, ""); } auto f = [&](auto &&f, int i, vector &bit, string &ans) -> void { if (i == -1) { bool sw = true; for (int b : bit) { if (d[b] != (x >> b & 1)) { sw = false; break; } } if (sw) out(ans); return; } bool sw = true; for (int b : bit) { if (d[b] != (a[i] >> b & 1)) { sw = false; break; } } if (sw) out(ans); bool an = false, o = false; for (int b : bit) { if ((a[i] >> b & 1) && d[b] == 0) an = true; if (!(a[i] >> b & 1) && d[b] == 1) o = true; } if (an && o) return; if (an) { ans += '1'; vector nx_bit; for (int b : bit) { if (!(!(a[i] >> b & 1) && d[b] == 0)) nx_bit.emplace_back(b); } if (nx_bit.empty()) out(ans); f(f, i - 1, nx_bit, ans); ans.pop_back(); } else if (o) { ans += '2'; vector nx_bit; for (int b : bit) { if (!((a[i] >> b & 1) && d[b] == 1)) nx_bit.emplace_back(b); } if (nx_bit.empty()) out(ans); f(f, i - 1, nx_bit, ans); ans.pop_back(); } else { int cnt[2] = {}; for (int b : bit) ++cnt[d[b]]; if (cnt[0] == bit.size()) { ans += '1'; out(ans); ans.pop_back(); } else if (cnt[1] == bit.size()) { ans += '2'; out(ans); ans.pop_back(); } else { { vector nx_bit; for (int b : bit) { if (!(!(a[i] >> b & 1) && d[b] == 0)) nx_bit.emplace_back(b); } assert(!nx_bit.empty()); ans += '1'; f(f, i - 1, nx_bit, ans); ans.pop_back(); } { vector nx_bit; for (int b : bit) { if (!((a[i] >> b & 1) && d[b] == 1)) nx_bit.emplace_back(b); } assert(!nx_bit.empty()); ans += '2'; f(f, i - 1, nx_bit, ans); ans.pop_back(); } } } }; vector bit(B); iota(ALL(bit), 0); string ans = ""; f(f, n - 1, bit, ans); cout << "-1\n"; return 0; }