using System; using System.Linq; using System.Collections.Generic; using Debug = System.Diagnostics.Debug; using StringBuilder = System.Text.StringBuilder; using System.Numerics; using Point = System.Numerics.Complex; using Number = System.Int64; namespace Program { public class Solver { public void Solve() { var n = sc.Integer(); var a = Enumerate(100000, x => new List()); for (int i = 0; i < n; i++) a[sc.Integer() - 1].Add(i); var b = new BitSet(n); for (int i = 0; i < n; i++) if (sc.Integer() == 1) b[i] = true; var ans = new BitSet(n); foreach (var v in a) { if (v.Count == 0) continue; var dp = new BitSet(n); foreach (var x in v) b.OrTo(dp, 0, x, n); dp.XorTo(ans, 0, 0, 2 * n - 1); } for (int i = 0; i < 2 * n - 1; i++) if (ans[i]) IO.Printer.Out.WriteLine("ODD"); else IO.Printer.Out.WriteLine("EVEN"); } public IO.StreamScanner sc = new IO.StreamScanner(Console.OpenStandardInput()); static T[] Enumerate(int n, Func f) { var a = new T[n]; for (int i = 0; i < n; ++i) a[i] = f(i); return a; } static public void Swap(ref T a, ref T b) { var tmp = a; a = b; b = tmp; } } } #region main static class Ex { static public string AsString(this IEnumerable ie) { return new string(System.Linq.Enumerable.ToArray(ie)); } static public string AsJoinedString(this IEnumerable ie, string st = " ") { return string.Join(st, ie); } static public void Main() { var solver = new Program.Solver(); solver.Solve(); Program.IO.Printer.Out.Flush(); } } #endregion #region Ex namespace Program.IO { using System.IO; using System.Text; using System.Globalization; public class Printer: StreamWriter { static Printer() { Out = new Printer(Console.OpenStandardOutput()) { AutoFlush = false }; } public static Printer Out { get; set; } public override IFormatProvider FormatProvider { get { return CultureInfo.InvariantCulture; } } public Printer(System.IO.Stream stream) : base(stream, new UTF8Encoding(false, true)) { } public Printer(System.IO.Stream stream, Encoding encoding) : base(stream, encoding) { } public void Write(string format, T[] source) { base.Write(format, source.OfType().ToArray()); } public void WriteLine(string format, T[] source) { base.WriteLine(format, source.OfType().ToArray()); } } public class StreamScanner { public StreamScanner(Stream stream) { str = stream; } public readonly Stream str; private readonly byte[] buf = new byte[1024]; private int len, ptr; public bool isEof = false; public bool IsEndOfStream { get { return isEof; } } private byte read() { if (isEof) return 0; if (ptr >= len) { ptr = 0; if ((len = str.Read(buf, 0, 1024)) <= 0) { isEof = true; return 0; } } return buf[ptr++]; } public char Char() { byte b = 0; do b = read(); while ((b < 33 || 126 < b) && !isEof); return (char)b; } public string Scan() { var sb = new StringBuilder(); for (var b = Char(); b >= 33 && b <= 126; b = (char)read()) sb.Append(b); return sb.ToString(); } public string ScanLine() { var sb = new StringBuilder(); for (var b = Char(); b != '\n'; b = (char)read()) if (b == 0) break; else if (b != '\r') sb.Append(b); return sb.ToString(); } public long Long() { if (isEof) return long.MinValue; long ret = 0; byte b = 0; var ng = false; do b = read(); while (b != 0 && b != '-' && (b < '0' || '9' < b)); if (b == 0) return long.MinValue; if (b == '-') { ng = true; b = read(); } for (; true; b = read()) { if (b < '0' || '9' < b) return ng ? -ret : ret; else ret = ret * 10 + b - '0'; } } public int Integer() { return (isEof) ? int.MinValue : (int)Long(); } public double Double() { var s = Scan(); return s != "" ? double.Parse(s, CultureInfo.InvariantCulture) : double.NaN; } private T[] enumerate(int n, Func f) { var a = new T[n]; for (int i = 0; i < n; ++i) a[i] = f(); return a; } public char[] Char(int n) { return enumerate(n, Char); } public string[] Scan(int n) { return enumerate(n, Scan); } public double[] Double(int n) { return enumerate(n, Double); } public int[] Integer(int n) { return enumerate(n, Integer); } public long[] Long(int n) { return enumerate(n, Long); } } } #endregion #region BitArray public struct BitSet { const ulong ALL = ulong.MaxValue; const int SIZE = 200000; const int size = SIZE / 64 + 50; static public readonly ulong[] mask = new ulong[65]; static BitSet() { mask[0] = 0; for (int i = 0; i < 64; i++) mask[i + 1] = (mask[i] << 1) | 1ul; } ulong[] bits; int n; public BitSet(int N) : this() { n = N; bits = new ulong[size]; } public int[] Items { get { var ret = new int[n]; for (int i = 0; i < n; i++) if (this[i]) ret[i] = 1; return ret; } } public bool this[int index] { get { return (bits[index / 64] >> (index % 64) & 1) == 1; } set { if (value) bits[index / 64] |= 1ul << (index % 64); else bits[index / 64] &= ~(1ul << (index % 64)); } } void align(ref int p, ref int q, ref int len) { var xr = Math.Min(SIZE, p + len); len = xr - p; if (q < 0) { p += Math.Abs(q); len -= Math.Abs(q); q = 0; } var yr = Math.Min(SIZE, q + len); len = yr - q; } /// /// a->b. a[p,p+len)->b[q,q+len) /// public void XorTo(BitSet b, int p, int q, int len)//xor b[l,l+len)^=a[r,r+len) { align(ref p, ref q, ref len); var lx = p / 64; var ly = p % 64; var rx = (p + len) / 64; var ry = (p + len) % 64; var d = p - q; var dx = d / 64; var dy = d % 64; if (dy < 0) { dy += 64; dx--; } if (p > q) { if (lx == rx) { if (dy > 0 && lx - dx - 1 >= 0) b.bits[lx - dx - 1] ^= (bits[lx] & (mask[ry] & (ALL ^ mask[ly]))) << (64 - dy); b.bits[lx - dx] ^= (bits[lx] & (mask[ry] & (ALL ^ mask[ly]))) >> dy; } else { if (dy > 0 && lx - dx - 1 >= 0) b.bits[lx - dx - 1] ^= (bits[lx] & (ALL ^ mask[ly])) << (64 - dy); b.bits[lx - dx] ^= (bits[lx] & (ALL ^ mask[ly])) >> dy; for (var i = lx + 1; i < rx; i++) { if (dy > 0) b.bits[i - dx - 1] ^= bits[i] << (64 - dy); b.bits[i - dx] ^= bits[i] >> dy; } if (dy > 0) b.bits[rx - dx - 1] ^= (bits[rx] & (mask[ry])) << (64 - dy); b.bits[rx - dx] ^= (bits[rx] & (mask[ry])) >> dy; } } else { if (lx == rx) { b.bits[lx - dx] ^= (bits[lx] & (mask[ry] & (ALL ^ mask[ly]))) >> dy; if (dy > 0) b.bits[lx - dx - 1] ^= (bits[lx] & (mask[ry] & (ALL ^ mask[ly]))) << (64 - dy); } else { b.bits[rx - dx] ^= (bits[rx] & (mask[ry])) >> dy; if (dy > 0) b.bits[rx - dx - 1] ^= (bits[rx] & (mask[ry])) << (64 - dy); for (var i = rx - 1; i > lx; i--) { b.bits[i - dx] ^= bits[i] >> dy; if (dy > 0) b.bits[i - dx - 1] ^= bits[i] << (64 - dy); } b.bits[lx - dx] ^= (bits[lx] & (ALL ^ mask[ly])) >> dy; if (dy > 0 && lx - dx - 1 >= 0) b.bits[lx - dx - 1] ^= (bits[lx] & (ALL ^ mask[ly])) << (64 - dy); } } } /// /// a->b. a[p,p+len)->b[q,q+len) /// public void AndTo(BitSet b, int p, int q, int len)//and b[l,l+len)&=a[r,r+len) { align(ref p, ref q, ref len); var lx = p / 64; var ly = p % 64; var rx = (p + len) / 64; var ry = (p + len) % 64; var d = p - q; var dx = d / 64; var dy = d % 64; if (dy < 0) { dy += 64; dx--; } if (p > q) { if (lx == rx) { if (dy > 0 && lx - dx - 1 >= 0) b.bits[lx - dx - 1] &= (bits[lx] & (mask[ry] & (ALL ^ mask[ly]))) << (64 - dy); b.bits[lx - dx] &= (bits[lx] & (mask[ry] & (ALL ^ mask[ly]))) >> dy; } else { if (dy > 0 && lx - dx - 1 >= 0) b.bits[lx - dx - 1] &= (bits[lx] & (ALL ^ mask[ly])) << (64 - dy); b.bits[lx - dx] &= (bits[lx] & (ALL ^ mask[ly])) >> dy; for (var i = lx + 1; i < rx; i++) { if (dy > 0) b.bits[i - dx - 1] &= bits[i] << (64 - dy); b.bits[i - dx] &= bits[i] >> dy; } if (dy > 0) b.bits[rx - dx - 1] &= (bits[rx] & (mask[ry])) << (64 - dy); b.bits[rx - dx] &= (bits[rx] & (mask[ry])) >> dy; } } else { if (lx == rx) { b.bits[lx - dx] &= (bits[lx] & (mask[ry] & (ALL ^ mask[ly]))) >> dy; if (dy > 0) b.bits[lx - dx - 1] &= (bits[lx] & (mask[ry] & (ALL ^ mask[ly]))) << (64 - dy); } else { b.bits[rx - dx] &= (bits[rx] & (mask[ry])) >> dy; if (dy > 0) b.bits[rx - dx - 1] &= (bits[rx] & (mask[ry])) << (64 - dy); for (var i = rx - 1; i > lx; i--) { b.bits[i - dx] &= bits[i] >> dy; if (dy > 0) b.bits[i - dx - 1] ^= bits[i] << (64 - dy); } b.bits[lx - dx] &= (bits[lx] & (ALL ^ mask[ly])) >> dy; if (dy > 0 && lx - dx - 1 >= 0) b.bits[lx - dx - 1] &= (bits[lx] & (ALL ^ mask[ly])) << (64 - dy); } } } /// /// a->b. a[p,p+len)->b[q,q+len) /// public void OrTo(BitSet b, int p, int q, int len)//and b[l,l+len)&=a[r,r+len) { align(ref p, ref q, ref len); var lx = p / 64; var ly = p % 64; var rx = (p + len) / 64; var ry = (p + len) % 64; var d = p - q; var dx = d / 64; var dy = d % 64; if (dy < 0) { dy += 64; dx--; } if (p > q) { if (lx == rx) { if (dy > 0 && lx - dx - 1 >= 0) b.bits[lx - dx - 1] |= (bits[lx] & (mask[ry] & (ALL ^ mask[ly]))) << (64 - dy); b.bits[lx - dx] |= (bits[lx] & (mask[ry] & (ALL ^ mask[ly]))) >> dy; } else { if (dy > 0 && lx - dx - 1 >= 0) b.bits[lx - dx - 1] |= (bits[lx] & (ALL ^ mask[ly])) << (64 - dy); b.bits[lx - dx] |= (bits[lx] & (ALL ^ mask[ly])) >> dy; for (var i = lx + 1; i < rx; i++) { if (dy > 0) b.bits[i - dx - 1] |= bits[i] << (64 - dy); b.bits[i - dx] |= bits[i] >> dy; } if (dy > 0) b.bits[rx - dx - 1] |= (bits[rx] & (mask[ry])) << (64 - dy); b.bits[rx - dx] |= (bits[rx] & (mask[ry])) >> dy; } } else { if (lx == rx) { b.bits[lx - dx] |= (bits[lx] & (mask[ry] & (ALL ^ mask[ly]))) >> dy; if (dy > 0) b.bits[lx - dx - 1] |= (bits[lx] & (mask[ry] & (ALL ^ mask[ly]))) << (64 - dy); } else { b.bits[rx - dx] |= (bits[rx] & (mask[ry])) >> dy; if (dy > 0) b.bits[rx - dx - 1] |= (bits[rx] & (mask[ry])) << (64 - dy); for (var i = rx - 1; i > lx; i--) { b.bits[i - dx] |= bits[i] >> dy; if (dy > 0) b.bits[i - dx - 1] |= bits[i] << (64 - dy); } b.bits[lx - dx] |= (bits[lx] & (ALL ^ mask[ly])) >> dy; if (dy > 0 && lx - dx - 1 >= 0) b.bits[lx - dx - 1] |= (bits[lx] & (ALL ^ mask[ly])) << (64 - dy); } } } } #endregion #region DisjointSet public class DisjointSet { int[] par; byte[] rank; public DisjointSet(int n) { par = new int[n]; for (int i = 0; i < n; i++) par[i] = -1; rank = new byte[n]; } public int this[int id] { get { if ((par[id] < 0)) return id; return par[id] = this[par[id]]; } } public bool Unite(int x, int y) { x = this[x]; y = this[y]; if (x == y) return false; if (rank[x] < rank[y]) { par[y] += par[x]; par[x] = y; } else { par[x] += par[y]; par[y] = x; if (rank[x] == rank[y]) rank[x]++; } return true; } public int Size(int x) { return -par[this[x]]; } public bool IsUnited(int x, int y) { return this[x] == this[y]; } } #endregion