using System;
using System.Collections.Generic;
using System.Linq;

class F
{
	static long[] ReadL() => Array.ConvertAll(Console.ReadLine().Split(), long.Parse);
	static (long, long, long) Read3L() { var a = ReadL(); return (a[0], a[1], a[2]); }
	static void Main() => Console.WriteLine(Solve());
	static object Solve()
	{
		var (n, x, y) = ((int, long, long))Read3L();
		var a = ReadL();

		var r60 = Enumerable.Range(0, 60).ToArray();
		//bool[] ToBool(long v) => Array.ConvertAll(r60, i => (v & (1L << i)) != 0);
		bool?[] ToBoolN(long v) => Array.ConvertAll(r60, i => (bool?)((v & (1L << i)) != 0));
		bool Match(bool? x, bool? y) => y == null || x == y;
		bool Matches(bool?[] x, bool?[] y) => Array.TrueForAll(r60, i => Match(x[i], y[i]));

		var p = new Stack<int>();
		var xf = ToBoolN(x);
		var yf = ToBoolN(y);

		for (int i = n - 1; i >= 0; i--)
		{
			var af = ToBoolN(a[i]);

			if (Matches(af, yf))
			{
				p.Push(3);
				while (p.Count < n) p.Push(1);
				return string.Join(" ", p);
			}
			{
				var ok = true;
				var t = new bool?[60];

				for (int f = 0; f < 60; f++)
				{
					if (Match(af[f] & null, yf[f])) { }
					else if (Match(af[f] & true, yf[f])) t[f] = true;
					else if (Match(af[f] & false, yf[f])) t[f] = false;
					else { ok = false; break; }
				}
				if (ok)
				{
					p.Push(1);
					yf = t;
					continue;
				}
			}
			{
				var ok = true;
				var t = new bool?[60];

				for (int f = 0; f < 60; f++)
				{
					if (Match(af[f] | null, yf[f])) { }
					else if (Match(af[f] | true, yf[f])) t[f] = true;
					else if (Match(af[f] | false, yf[f])) t[f] = false;
					else { ok = false; break; }
				}
				if (ok)
				{
					p.Push(2);
					yf = t;
					continue;
				}
			}
			return -1;
		}

		if (!Matches(xf, yf)) return -1;
		return string.Join(" ", p);
	}
}