using System; using System.Collections.Generic; using System.Linq; using Debug = System.Diagnostics.Debug; //using System.Numerics; //using static System.Math; using Number = System.Int64; namespace Program { public class Solver { const bool DEBUG = false; Random rnd = new Random(); public void Solve() { int n = DEBUG ? 100 : 100; if (DEBUG) { p = Enumerate(n, x => x).OrderBy(x => rnd.Next()).ToArray(); } var q = DEBUG ? 2000 : int.Parse(Console.ReadLine()); var a = Enumerate(n, x => new char[2]); for (int i = 0; i < n; i++) { a[i][0] = '-'; a[i][1] = '1'; } count = Enumerate(2, x => new int[10]); for (int k = 0; k < 2; k++) for (int i = 0; i < 10; i++) count[k][i] = 10; var s = new HashSet(Enumerable.Range(0, 100)); var otaku = new List(); for (int i = 0; i < n - 1; i++) { var prev = cnt; if (solve2(i, 0, a, n)) goto END; otaku.Add(cnt - prev); count[0][a[i][0] - '0']--; count[1][a[i][1] - '0']--; s.Remove((a[i][0] - '0') * 10 + a[i][1] - '0'); } END: Debug.WriteLine(cnt); a[n - 1][0] = (char)(s.First() / 10 + '0'); a[n - 1][1] = (char)(s.First() % 10 + '0'); Console.WriteLine(otaku.AsJoinedString()); if (DEBUG && check(a)[2] != n) throw new Exception(); } int[][] count; bool solve2(int i, int j, char[][] a, int n) { var c = Enumerate(10, x => (char)(x + '0')).OrderByDescending(x => count[0][x - '0'] == 0 ? 0 : count[0][x - '0'] * 100 + rnd.Next(0, 150)).ToArray(); var d = Enumerate(10, x => (char)(x + '0')).OrderByDescending(x => count[1][x - '0'] == 0 ? 0 : count[1][x - '0'] * 100 + rnd.Next(0, 150)).ToArray(); var map = new SortedMap(default(cmp)); var t = 0; for (; t < 9; t++) { a[i][0] = c[t]; a[i][1] = d[t]; if (count[0][c[t] - '0'] == 0 && count[1][d[t] - '0'] == 0) continue; var res = query(a); if (res[2] == i + 1) return false; if (res[2] == n) return true; else map[res.Reverse().ToArray()] |= 1 << t; if (map.Count == 2 && map.Last().Value != (map.Last().Value & -map.Last().Value)) break; } if (map.Count == 0 || map.Last().Key[1] == 0) { a[i][0] = c[9]; a[i][1] = d[9]; return false; } { var max = map.Last(); var ord = new List(); for (int k = 0; k < 10; k++) if ((max.Value >> k & 1) == 1) ord.Add(k); if (ord.Count == 1) ord.Add(9); a[i][0] = c[ord.First()]; a[i][1] = d[ord.Last()]; var res = query(a); if (res[2] > max.Key[0]) { } else { a[i][0] = c[ord.Last()]; a[i][1] = d[ord.First()]; } if ((a[i][0] - '0') * 10 + a[i][1] - '0' != p[i]) { } } return false; } int cnt; int[] query(char[][] a) { cnt++; if (!DEBUG) for (int i = 0; i < a.Length; i++) { Console.Write($"{a[i][0]}{a[i][1]}"); if (i + 1 != a.Length) Console.Write(" "); else Console.WriteLine(); } Console.Out.Flush(); int[] res; if (DEBUG) return check(a); res = Console.ReadLine().Split().Select(int.Parse).ToArray(); return res; } int[] check(char[][] a) { var ret = new int[3]; for (int i = 0; i < a.Length; i++) { var v = 0; if (a[i][0] == '-') continue; if (p[i] % 10 == a[i][1] - '0') v++; if (p[i] / 10 == a[i][0] - '0') v++; ret[v]++; if (v != 2) { } } return ret; } int[] p; const long INF = 1L << 60; int[] dx = { 1, 0, -1, 0 }; 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.Select(x => x.ToString()).ToArray()); //return string.Join(st, ie); } static public void Main() { Console.SetOut(new System.IO.StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false }); var solver = new Program.Solver(); solver.Solve(); Console.Out.Flush(); } } #endregion #region Ex namespace Program.IO { using System.Globalization; using System.IO; using System.Text; 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 SortedMap public class SortedMap: SortedDictionary { public SortedMap(IComparer cmp) : base(cmp) { } new public V this[K i] { get { V v; return TryGetValue(i, out v) ? v : base[i] = default(V); } set { base[i] = value; } } } #endregion struct cmp: IComparer { public int Compare(int[] x, int[] y) { for (int i = 0; i < x.Length; i++) if (x[i] < y[i]) return -1; else if (x[i] > y[i]) return 1; return 0; } }