using System; using System.IO; using System.Collections.Generic; using System.Linq; using System.Numerics; using System.Diagnostics; using System.Runtime.CompilerServices; namespace FertiLib.Contest.B { static class Program { public static void Solve(Scanner cin) { var n = cin.ReadInt(); var all = n * n - n; //var a = cin.ReadIntArray(all); // if the return value is P, then ret[P + n] increments var ret = new int[n * 2 + 1]; // the answers of the queries var qa = new (int p, int q)[all]; var dic = new SortedDictionary<(int p, int q), List>(); ret[n] += 2; dic.Add((0, 0), new List()); dic[(0, 0)].Add(0); for (int i = 1; i < all; i++) { var (p, q) = Ask(0, i, cin); //var (p, q) = Ask(0, i, cin, a, n); qa[i] = (p, q); if (!dic.ContainsKey((p, q))) dic.Add((p, q), new List()); dic[(p, q)].Add(i); ret[p + n]++; ret[q + n]++; } bool isBigDigit = false; bool isSmallDigit = false; int leftBigDigit = -1; int rightBigDigit = -1; int leftSmallDigit = -1; int rightSmallDigit = -1; for (int i = 0; i < n * 2 + 1; i++) { if (ret[i] == n || ret[i] == 2 * n - 1) { if (!isBigDigit) leftBigDigit = i - n; isBigDigit = true; } else { if (isBigDigit) rightBigDigit = i - n; isBigDigit = false; } if (ret[i] == n - 1 || ret[i] == 2 * n - 1) { if (!isSmallDigit) leftSmallDigit = i - n; isSmallDigit = true; } else { if (isSmallDigit) rightSmallDigit = i - n; isSmallDigit = false; } } Debug.Assert(rightBigDigit - leftBigDigit == n - 1); Debug.Assert(rightSmallDigit - leftSmallDigit == n); var ans = new (int big, int small)[all]; ans[0] = (1 - leftBigDigit, -leftSmallDigit); var oneZeroPair = (leftBigDigit, leftSmallDigit); if (leftBigDigit > leftSmallDigit) oneZeroPair = (leftSmallDigit, leftBigDigit); var oneZero = dic[oneZeroPair][0]; var maxZeroPair = (big: rightBigDigit - 1, small: leftSmallDigit); if (rightBigDigit - 1 > leftSmallDigit) maxZeroPair = (leftSmallDigit, rightBigDigit - 1); var maxZero = dic[maxZeroPair][0]; if (dic[maxZeroPair].Count >= 2) { var revMaxZeroPair = (maxZeroPair.small, maxZeroPair.big); var genuine = (big: rightBigDigit - 1, small: leftSmallDigit); var fake = (big: leftSmallDigit, small: rightBigDigit - 1); var first = dic[maxZeroPair][0]; var second = dic[maxZeroPair][1]; var expected = (0 - 0, (n - 1) - 1); var check = Ask(oneZero, dic[maxZeroPair][0], cin); //var check = Ask(oneZero, dic[maxZeroPair][0], cin, a, n); if (expected == check) { maxZero = dic[maxZeroPair][0]; //qa[dic[maxZeroPair][0]] = (n - 1, 0); //qa[dic[maxZeroPair][1]] = (ans[0].big + revMaxZeroPair.big, ans[0].small + revMaxZeroPair.small); dic.Add(revMaxZeroPair, new List()); dic[maxZeroPair].Clear(); dic[genuine].Add(first); dic[fake].Add(second); } else { maxZero = dic[maxZeroPair][1]; //qa[dic[maxZeroPair][1]] = (n - 1, 0); //qa[dic[maxZeroPair][0]] = (ans[0].big + revMaxZeroPair.big, ans[0].small + revMaxZeroPair.small); dic.Add(revMaxZeroPair, new List()); dic[maxZeroPair].Clear(); dic[genuine].Add(second); dic[fake].Add(first); } } foreach (var e in dic) { if (e.Value.Count >= 2) { var revPair = (p: e.Key.q, q: e.Key.p); var expected = (big: ans[0].big + e.Key.p - (n - 1), small: ans[0].small + e.Key.q - 0); var check = Ask(maxZero, e.Value[0], cin); //var check = Ask(maxZero, e.Value[0], cin, a, n); if (expected == check) { dic.Add(revPair, new List()); dic[revPair].Add(dic[e.Key][1]); dic[e.Key].RemoveAt(1); } else { dic.Add(revPair, new List()); dic[revPair].Add(dic[e.Key][0]); dic[e.Key].RemoveAt(0); } } } foreach (var e in dic) { Debug.Assert(e.Value.Count == 1); var (p, q) = e.Key; if (leftBigDigit <= p && p < rightBigDigit && leftSmallDigit <= q && q < rightSmallDigit) { // do nothing } else { var t = p; p = q; q = t; } ans[e.Value[0]] = (ans[0].big + p, ans[0].small + q); } Answer(ans.Select(p => p.big * n + p.small)); } public static (int p, int q) Ask(int i, int j, Scanner cin) { Console.WriteLine($"? {i + 1} {j + 1}"); Console.Out.Flush(); var (p, q) = cin.ReadValue(); return (p, q); } //public static (int p, int q) Ask(int i, int j, Scanner cin, int[] ans, int n) //{ // var p = ans[j] / n - ans[i] / n; // var q = ans[j] % n - ans[i] % n; // if (p > q) // { // var t = p; // p = q; // q = t; // } // return (p, q); //} public static void Answer(IEnumerable a) { Console.WriteLine("! " + a.Join(" ")); Console.Out.Flush(); return; } public static void Main(string[] args) { var sw = new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false }; Console.SetOut(sw); var cin = new Scanner(); Solve(cin); Console.Out.Flush(); } public static void YESNO(bool condition) => Console.WriteLine(condition ? "YES" : "NO"); public static void YesNo(bool condition) => Console.WriteLine(condition ? "Yes" : "No"); public static void yesno(bool condition) => Console.WriteLine(condition ? "yes" : "no"); public static bool Chmax(ref T a, T b) where T : IComparable { if (a.CompareTo(b) >= 0) return false; a = b; return true; } public static bool Chmin(ref T a, T b) where T : IComparable { if (a.CompareTo(b) <= 0) return false; a = b; return true; } } static class Extention { public static string Join(this IEnumerable x, string separator = "") => string.Join(separator, x); public static int UpperBound(this IList list, T value) => list.BinarySearch(value, true, 0, list.Count, Comparer.Default); public static int LowerBound(this IList list, T value) => list.BinarySearch(value, false, 0, list.Count, Comparer.Default); public static int BinarySearch(this IList list, T value, bool isUpperBound, int index, int length, Comparer comparer) { var ng = index - 1; var ok = index + length; while (ok - ng > 1) { var mid = ng + (ok - ng) / 2; var res = comparer.Compare(list[mid], value); if (res < 0 || (isUpperBound && res == 0)) ng = mid; else ok = mid; } return ok; } } class Scanner { string[] s; int i; char[] separator = new char[] { ' ' }; public Scanner() { s = new string[0]; i = 0; } public string Read() => ReadString(); public string ReadString() { if (i < s.Length) return s[i++]; string st = Console.ReadLine(); while (st == "") st = Console.ReadLine(); s = st.Split(separator, StringSplitOptions.RemoveEmptyEntries); if (s.Length == 0) return ReadString(); i = 0; return s[i++]; } public string[] ReadStringArray(int N) { string[] Array = new string[N]; for (int i = 0; i < N; i++) { Array[i] = ReadString(); } return Array; } public int ReadInt() => int.Parse(ReadString()); public int[] ReadIntArray(int N, int add = 0) { int[] Array = new int[N]; for (int i = 0; i < N; i++) { Array[i] = ReadInt() + add; } return Array; } public long ReadLong() => long.Parse(ReadString()); public long[] ReadLongArray(int N, long add = 0) { long[] Array = new long[N]; for (int i = 0; i < N; i++) { Array[i] = ReadLong() + add; } return Array; } public double ReadDouble() => double.Parse(ReadString()); public double[] ReadDoubleArray(int N, double add = 0) { double[] Array = new double[N]; for (int i = 0; i < N; i++) { Array[i] = ReadDouble() + add; } return Array; } public T1 ReadValue() => (T1)Convert.ChangeType(ReadString(), typeof(T1)); public (T1, T2) ReadValue() { var inputs = ReadStringArray(2); var v1 = (T1)Convert.ChangeType(inputs[0], typeof(T1)); var v2 = (T2)Convert.ChangeType(inputs[1], typeof(T2)); return (v1, v2); } public (T1, T2, T3) ReadValue() { var inputs = ReadStringArray(3); var v1 = (T1)Convert.ChangeType(inputs[0], typeof(T1)); var v2 = (T2)Convert.ChangeType(inputs[1], typeof(T2)); var v3 = (T3)Convert.ChangeType(inputs[2], typeof(T3)); return (v1, v2, v3); } public (T1, T2, T3, T4) ReadValue() { var inputs = ReadStringArray(4); var v1 = (T1)Convert.ChangeType(inputs[0], typeof(T1)); var v2 = (T2)Convert.ChangeType(inputs[1], typeof(T2)); var v3 = (T3)Convert.ChangeType(inputs[2], typeof(T3)); var v4 = (T4)Convert.ChangeType(inputs[3], typeof(T4)); return (v1, v2, v3, v4); } public (T1, T2, T3, T4, T5) ReadValue() { var inputs = ReadStringArray(5); var v1 = (T1)Convert.ChangeType(inputs[0], typeof(T1)); var v2 = (T2)Convert.ChangeType(inputs[1], typeof(T2)); var v3 = (T3)Convert.ChangeType(inputs[2], typeof(T3)); var v4 = (T4)Convert.ChangeType(inputs[3], typeof(T4)); var v5 = (T5)Convert.ChangeType(inputs[4], typeof(T5)); return (v1, v2, v3, v4, v5); } public (T1, T2, T3, T4, T5, T6) ReadValue() { var inputs = ReadStringArray(6); var v1 = (T1)Convert.ChangeType(inputs[0], typeof(T1)); var v2 = (T2)Convert.ChangeType(inputs[1], typeof(T2)); var v3 = (T3)Convert.ChangeType(inputs[2], typeof(T3)); var v4 = (T4)Convert.ChangeType(inputs[3], typeof(T4)); var v5 = (T5)Convert.ChangeType(inputs[4], typeof(T5)); var v6 = (T6)Convert.ChangeType(inputs[5], typeof(T6)); return (v1, v2, v3, v4, v5, v6); } public (T1, T2, T3, T4, T5, T6, T7) ReadValue() { var inputs = ReadStringArray(7); var v1 = (T1)Convert.ChangeType(inputs[0], typeof(T1)); var v2 = (T2)Convert.ChangeType(inputs[1], typeof(T2)); var v3 = (T3)Convert.ChangeType(inputs[2], typeof(T3)); var v4 = (T4)Convert.ChangeType(inputs[3], typeof(T4)); var v5 = (T5)Convert.ChangeType(inputs[4], typeof(T5)); var v6 = (T6)Convert.ChangeType(inputs[5], typeof(T6)); var v7 = (T7)Convert.ChangeType(inputs[6], typeof(T7)); return (v1, v2, v3, v4, v5, v6, v7); } public T1[] ReadValueArray(int N) { var v1 = new T1[N]; for (int i = 0; i < N; i++) { v1[i] = ReadValue(); } return v1; } public (T1[], T2[]) ReadValueArray(int N) { var (v1, v2) = (new T1[N], new T2[N]); for (int i = 0; i < N; i++) { var (t1, t2) = ReadValue(); v1[i] = t1; v2[i] = t2; } return (v1, v2); } public (T1[], T2[], T3[]) ReadValueArray(int N) { var (v1, v2, v3) = (new T1[N], new T2[N], new T3[N]); for (int i = 0; i < N; i++) { var (t1, t2, t3) = ReadValue(); v1[i] = t1; v2[i] = t2; v3[i] = t3; } return (v1, v2, v3); } public (T1[], T2[], T3[], T4[]) ReadValueArray(int N) { var (v1, v2, v3, v4) = (new T1[N], new T2[N], new T3[N], new T4[N]); for (int i = 0; i < N; i++) { var (t1, t2, t3, t4) = ReadValue(); v1[i] = t1; v2[i] = t2; v3[i] = t3; v4[i] = t4; } return (v1, v2, v3, v4); } public (T1[], T2[], T3[], T4[], T5[]) ReadValueArray(int N) { var (v1, v2, v3, v4, v5) = (new T1[N], new T2[N], new T3[N], new T4[N], new T5[N]); for (int i = 0; i < N; i++) { var (t1, t2, t3, t4, t5) = ReadValue(); v1[i] = t1; v2[i] = t2; v3[i] = t3; v4[i] = t4; v5[i] = t5; } return (v1, v2, v3, v4, v5); } public (T1[], T2[], T3[], T4[], T5[], T6[]) ReadValueArray(int N) { var (v1, v2, v3, v4, v5, v6) = (new T1[N], new T2[N], new T3[N], new T4[N], new T5[N], new T6[N]); for (int i = 0; i < N; i++) { var (t1, t2, t3, t4, t5, t6) = ReadValue(); v1[i] = t1; v2[i] = t2; v3[i] = t3; v4[i] = t4; v5[i] = t5; v6[i] = t6; } return (v1, v2, v3, v4, v5, v6); } public (T1[], T2[], T3[], T4[], T5[], T6[], T7[]) ReadValueArray(int N) { var (v1, v2, v3, v4, v5, v6, v7) = (new T1[N], new T2[N], new T3[N], new T4[N], new T5[N], new T6[N], new T7[N]); for (int i = 0; i < N; i++) { var (t1, t2, t3, t4, t5, t6, t7) = ReadValue(); v1[i] = t1; v2[i] = t2; v3[i] = t3; v4[i] = t4; v5[i] = t5; v6[i] = t6; v7[i] = t7; } return (v1, v2, v3, v4, v5, v6, v7); } } }