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 Matches(bool[] x, bool?[] y) => Array.TrueForAll(r60, i => (x[i] ^ y[i]) != true); var p = new Stack(); var xf = ToBool(x); var yf = ToBoolN(y); for (int i = n - 1; i >= 0; i--) { var af = ToBool(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 (yf[f] == null) continue; if (af[f]) t[f] = yf[f]; else if (yf[f] == true) { 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 (yf[f] == null) continue; if (!af[f]) t[f] = yf[f]; else if (yf[f] == false) { ok = false; break; } } if (ok) { p.Push(2); yf = t; continue; } } return -1; } if (!Matches(xf, yf)) return -1; return string.Join(" ", p); } }