using System; using System.Linq; using System.Collections.Generic; using Debug = System.Diagnostics.Debug; using SB = System.Text.StringBuilder; using Number = System.Int64; namespace Program { public class Solver { Random rnd = new Random(0); public void Solve() { var n = ri; var s = rl; var x = rl; var y = rl; var z = rl; var set = new bitset(n); { set[0] = s % 2 == 1; for (int i = 1; i < n; i++) { s = (s * x + y) % z; set[i] = s % 2 == 1; } } var q = ri; for (int i = 0; i < q; i++) { var l1 = ri - 1; var r1 = ri; var l2 = ri - 1; var r2 = ri; set.ApplyXOR(set, l2, r1 - l1, l1); } for (int i = 0; i < n; i++) if (set[i]) Console.Write('O'); else Console.Write('E'); Console.WriteLine(); } const long INF = 1L << 60; static int[] dx = { -1, 0, 1, 0 }; static int[] dy = { 0, 1, 0, -1 }; int ri { get { return sc.Integer(); } } long rl { get { return sc.Long(); } } double rd { get { return sc.Double(); } } string rs { get { return sc.Scan(); } } 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(ie.ToArray()); } static public string AsJoinedString(this IEnumerable ie, string st = " ") { return string.Join(st, ie); } static public void Main() { Console.SetOut(new Program.IO.Printer(Console.OpenStandardOutput()) { AutoFlush = false }); var solver = new Program.Solver(); try { solver.Solve(); Console.Out.Flush(); } catch { } } } #endregion #region Ex namespace Program.IO { using System.IO; using System.Text; using System.Globalization; public class Printer: StreamWriter { public override IFormatProvider FormatProvider { get { return CultureInfo.InvariantCulture; } } public Printer(Stream stream) : base(stream, new UTF8Encoding(false, true)) { } } 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 != 0; b = (char)read()) if (b != '\r') sb.Append(b); return sb.ToString(); } public long Long() { return isEof ? long.MinValue : long.Parse(Scan()); } public int Integer() { return isEof ? int.MinValue : int.Parse(Scan()); } public double Double() { return isEof ? double.NaN : double.Parse(Scan(), CultureInfo.InvariantCulture); } } } #endregion #region BitSet public class bitset { const int B = 64; static readonly ulong[] mask = new ulong[65]; static readonly ulong[] revmask = new ulong[65]; static readonly ulong[] cache = new ulong[1000000]; static bitset() { mask[0] = 0; for (int i = 0; i < 64; i++) mask[i + 1] = (mask[i] << 1) | 1ul; for (int i = 0; i < 65; i++) revmask[i] = ~mask[i]; } static void align(ref int l1, int l2, ref int len, int m1) { if (l1 < 0) { l2 += Math.Abs(l1); len -= Math.Abs(l1); l1 = 0; } len = Math.Min(m1 - l1, len); } int n; ulong[] bits; public bitset(int N) { n = N; bits = new ulong[n / B + 2]; } public bool this[int index] { get { return (bits[index / B] >> index & 1) == 1; } set { if (value) bits[index / B] |= 1ul << index; else bits[index / B] &= ~(1ul << index); } } /// /// this[l1,l1+len) &= mask[l2,l2+len) /// public void ApplyAND(bitset Mask, int l1, int len, int l2 = 0) { align(ref l1, l2, ref len, n); align(ref l2, l1, ref len, Mask.n); int lx = l1 / B, ly = l1 % B, rx = (l1 + len) / B, ry = (l1 + len) % B; var dx = (l2 - l1) / B; var dy = (l2 - l1) % B; if (dy < 0) { dy += B; dx--; } var revdy = (B - dy) % B; for (int i = lx; i <= rx; i++) cache[i] = (i + dx < 0 ? 0 : Mask.bits[i + dx] >> dy) | (revdy == 0 ? 0 : Mask.bits[i + dx + 1] << revdy); if (lx == rx) bits[lx] &= cache[lx] | ~(mask[ry] & revmask[ly]); else { bits[lx] &= cache[lx] | ~revmask[ly]; for (int i = lx + 1; i < rx; i++) bits[i] &= cache[i]; bits[rx] &= cache[rx] | ~mask[ry]; } } /// /// this[l1,l1+len) |= mask[l2,l2+len) /// public void ApplyOR(bitset Mask, int l1, int len, int l2 = 0) { align(ref l1, l2, ref len, n); align(ref l2, l1, ref len, Mask.n); int lx = l1 / B, ly = l1 % B, rx = (l1 + len) / B, ry = (l1 + len) % B; var dx = (l2 - l1) / B; var dy = (l2 - l1) % B; if (dy < 0) { dy += B; dx--; } var revdy = (B - dy) % B; cache[lx] = (lx + dx >= 0 ? Mask.bits[lx + dx] >> dy : 0) | (revdy == 0 ? 0 : Mask.bits[lx + dx + 1] << revdy); if (lx == rx) bits[lx] |= cache[lx] & (mask[ry] & revmask[ly]); else { if (revdy == 0) Buffer.BlockCopy(Mask.bits, lx + 1, cache, lx + 1, (rx - lx)); else { for (int i = lx + 1; i <= rx; i++) cache[i] = (Mask.bits[i + dx] >> dy | Mask.bits[i + dx + 1] << revdy); } bits[lx] |= cache[lx] & revmask[ly]; for (int i = lx + 1; i < rx; i++) bits[i] |= cache[i]; bits[rx] |= cache[rx] & mask[ry]; } } /// /// this[l1,l1+len) ^= mask[l2,l2+len) /// public void ApplyXOR(bitset Mask, int l1, int len, int l2 = 0) { align(ref l1, l2, ref len, n); align(ref l2, l1, ref len, Mask.n); int lx = l1 / B, ly = l1 % B, rx = (l1 + len) / B, ry = (l1 + len) % B; var dx = (l2 - l1) / B; var dy = (l2 - l1) % B; if (dy < 0) { dy += B; dx--; } var revdy = (B - dy) % B; cache[lx] = (lx + dx >= 0 ? Mask.bits[lx + dx] >> dy : 0) | (revdy == 0 ? 0 : Mask.bits[lx + dx + 1] << revdy); if (lx == rx) bits[lx] ^= cache[lx] & (mask[ry] & revmask[ly]); else { if (revdy == 0) Buffer.BlockCopy(Mask.bits, (lx + dx + 1) * sizeof(ulong), cache, (lx + 1) * sizeof(ulong), (rx - lx) * sizeof(ulong)); else { for (int i = lx + 1; i <= rx; i++) cache[i] = Mask.bits[i + dx] >> dy | Mask.bits[i + dx + 1] << revdy; } bits[lx] ^= cache[lx] & revmask[ly]; for (int i = lx + 1; i < rx; i++) bits[i] ^= cache[i]; bits[rx] ^= cache[rx] & mask[ry]; } } } #endregion