using System; using System.Collections; using System.Collections.Generic; using System.Diagnostics; using System.Globalization; using System.IO; using System.Text; using System.Linq; using E = System.Linq.Enumerable; using System.Threading; internal partial class Solver { int[] a = null; int n; (int p, int q) Query(int i, int j) { if (i == j) return (0, 0); if (a != null) { var p = a[i] / n - a[j] / n; var q = a[i] % n - a[j] % n; if (p > q) (p, q) = (q, p); return (p, q); } else { Console.WriteLine("? {0} {1}", i + 1, j + 1); Console.Out.Flush(); var line = Console.ReadLine().Split(); var p = int.Parse(line[0]); var q = int.Parse(line[1]); return (p, q); } } private static readonly Random rand = new Random(); public static void ArrayShuffle(IList array) { for (int i = 1; i < array.Count; i++) { int r = rand.Next() % (i + 1); var t = array[i]; array[i] = array[r]; array[r] = t; } } public void Run() { #if DEBUG n = 50; var k = n * n - n; var aa = E.Range(n, k).ToArray(); a = aa.ToArray(); ArrayShuffle(a); #else var n = int.Parse(Console.ReadLine()); var k = n * n - n; #endif // n, n + 1, ... n*n-1 var b = new (int p, int q)[k]; var ans = new (int p, int q)[k]; for (int i = 0; i < k; i++) { b[i] = Query(i, 0); } int minIndex = -1; int maxIndex = -1; for (int i = 0; i < k; i++) { for (int j = 0; j < k; j++) { // n - 2 のとき N の桁、 n - 1 のとき 1 の桁 if (b[i].p - b[j].p == n - 2 && b[i].q - b[j].q == n - 1) { ans[0] = (-b[j].p + 1, -b[j].q); ans[i] = (n - 1, n - 1); ans[j] = (1, 0); maxIndex = i; minIndex = j; } if (b[i].p - b[j].q == n - 2 && b[i].q - b[j].p == n - 1) { ans[0] = (-b[j].q + 1, -b[j].p); ans[i] = (n - 1, n - 1); ans[j] = (1, 0); maxIndex = i; minIndex = j; } if (b[i].q - b[j].p == n - 2 && b[i].p - b[j].q == n - 1) { ans[0] = (-b[j].p + 1, -b[j].q); ans[i] = (n - 1, n - 1); ans[j] = (1, 0); maxIndex = i; minIndex = j; } if (b[i].q - b[j].q == n - 2 && b[i].p - b[j].p == n - 1) { ans[0] = (-b[j].q + 1, -b[j].p); ans[i] = (n - 1, n - 1); ans[j] = (1, 0); maxIndex = i; minIndex = j; } } } bool satisfy((int p, int q) v) => 1 <= v.p && v.p < n && 0 <= v.q && v.q < n; (int p, int q) subQuery((int p, int q) v1, (int p, int q) v2) { var p = v1.p - v2.p; var q = v1.q - v2.q; if (p > q) (p, q) = (q, p); return (p, q); } for (int i = 1; i < k; i++) { if (ans[i] != (0, 0)) continue; var cand1 = (ans[0].p + b[i].p, ans[0].q + b[i].q); var cand2 = (ans[0].p + b[i].q, ans[0].q + b[i].p); if (cand1 == cand2) { ans[i] = cand2; } else if (!satisfy(cand1)) { ans[i] = cand2; } else if (!satisfy(cand2)) { ans[i] = cand1; } else { var target = -1; if (subQuery(cand1, ans[minIndex]) != subQuery(cand2, ans[minIndex])) { target = minIndex; } if (subQuery(cand1, ans[maxIndex]) != subQuery(cand2, ans[maxIndex])) { target = maxIndex; } for (int j = i + 1; j < k; j++) { if (b[i] == b[j]) { var r = Query(i, target); if (r == subQuery(cand1, ans[target])) { ans[i] = cand1; ans[j] = cand2; } else { ans[i] = cand2; ans[j] = cand1; } break; } } } } var ans2 = ans.Select(a => a.p * n + a.q).ToArray(); cout.WriteLine("! " + ans2.JoinToString(" ")); cout.Flush(); //a.TextDump(); //ans2.TextDump(); //if (!a.SequenceEqual(ans2)) throw new Exception(); } } // PREWRITEN CODE BEGINS FROM HERE static public class StringExtensions { static public string JoinToString(this IEnumerable source, string separator = " ") { return string.Join(separator, source); } } internal partial class Solver : Scanner { static readonly int? StackSizeInMebiByte = null; //50; public static void StartAndJoin(Action action, int maxStackSize) { var thread = new Thread(new ThreadStart(action), maxStackSize); thread.Start(); thread.Join(); } public static void Main() { #if LOCAL byte[] inputBuffer = new byte[1000000]; var inputStream = Console.OpenStandardInput(inputBuffer.Length); using (var reader = new StreamReader(inputStream, Console.InputEncoding, false, inputBuffer.Length)) { Console.SetIn(reader); new Solver(Console.In, Console.Out).Run(); } #else Console.SetOut(new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false }); if (StackSizeInMebiByte.HasValue) { StartAndJoin(() => new Solver(Console.In, Console.Out).Run(), StackSizeInMebiByte.Value * 1024 * 1024); } else { new Solver(Console.In, Console.Out).Run(); } Console.Out.Flush(); #endif } #pragma warning disable IDE0052 private readonly TextReader cin; private readonly TextWriter cout; private readonly TextWriter cerr; #pragma warning restore IDE0052 public Solver(TextReader reader, TextWriter writer) : base(reader) { cin = reader; cout = writer; cerr = Console.Error; } public Solver(string input, TextWriter writer) : this(new StringReader(input), writer) { } #pragma warning disable IDE1006 #pragma warning disable IDE0051 private int ni() { return NextInt(); } private int[] ni(int n) { return NextIntArray(n); } private long nl() { return NextLong(); } private long[] nl(int n) { return NextLongArray(n); } private double nd() { return NextDouble(); } private double[] nd(int n) { return NextDoubleArray(n); } private string ns() { return Next(); } private string[] ns(int n) { return NextArray(n); } #pragma warning restore IDE1006 #pragma warning restore IDE0051 } #if DEBUG internal static class LinqPadExtension { public static string TextDump(this T obj) { if (obj is IEnumerable) return (obj as IEnumerable).Cast().JoinToString().Dump(); else return obj.ToString().Dump(); } public static T Dump(this T obj) { return LINQPad.Extensions.Dump(obj); } } #endif public class Scanner { private readonly TextReader Reader; private readonly CultureInfo ci = CultureInfo.InvariantCulture; private readonly char[] buffer = new char[2 * 1024]; private int cursor = 0, length = 0; private string Token; private readonly StringBuilder sb = new StringBuilder(1024); public Scanner() : this(Console.In) { } public Scanner(TextReader reader) { Reader = reader; } public int NextInt() { return checked((int)NextLong()); } public long NextLong() { var s = Next(); long r = 0; int i = 0; bool negative = false; if (s[i] == '-') { negative = true; i++; } for (; i < s.Length; i++) { r = r * 10 + (s[i] - '0'); #if DEBUG if (!char.IsDigit(s[i])) throw new FormatException(); #endif } return negative ? -r : r; } public double NextDouble() { return double.Parse(Next(), ci); } public string[] NextArray(int size) { string[] array = new string[size]; for (int i = 0; i < size; i++) { array[i] = Next(); } return array; } public int[] NextIntArray(int size) { int[] array = new int[size]; for (int i = 0; i < size; i++) { array[i] = NextInt(); } return array; } public long[] NextLongArray(int size) { long[] array = new long[size]; for (int i = 0; i < size; i++) { array[i] = NextLong(); } return array; } public double[] NextDoubleArray(int size) { double[] array = new double[size]; for (int i = 0; i < size; i++) { array[i] = NextDouble(); } return array; } public string Next() { if (Token == null) { if (!StockToken()) { throw new Exception(); } } var token = Token; Token = null; return token; } public bool HasNext() { if (Token != null) { return true; } return StockToken(); } private bool StockToken() { while (true) { sb.Clear(); while (true) { if (cursor >= length) { cursor = 0; if ((length = Reader.Read(buffer, 0, buffer.Length)) <= 0) { break; } } var c = buffer[cursor++]; if (33 <= c && c <= 126) { sb.Append(c); } else { if (sb.Length > 0) break; } } if (sb.Length > 0) { Token = sb.ToString(); return true; } return false; } } }