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); int[] a = null; var ans = SolveCheck(n, all, a, cin); if (a != null) { for (int i = 0; i < all; i++) { if (a[i] != ans[i]) { Console.WriteLine("Assertion Failed!"); Console.WriteLine($"n: {n}"); Console.WriteLine($"a: {a.Join(" ")}"); } } } } public static int[] SolveCheck(int n, int all, int[] a, Scanner cin) { int timesAsked = 0; // 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++) { timesAsked++; if (timesAsked > all * 3 / 2) throw new Exception(); 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]; Debug.Assert(dic[oneZeroPair].Count == 1); var zeroMaxPair = (big: leftBigDigit, small: rightSmallDigit - 1); if (leftBigDigit > rightSmallDigit - 1) zeroMaxPair = (rightSmallDigit - 1, leftBigDigit); var zeroMax = dic[zeroMaxPair][0]; if (dic[zeroMaxPair].Count >= 2) { var revMaxZeroPair = (zeroMaxPair.small, zeroMaxPair.big); var genuine = (big: rightBigDigit - 1, small: leftSmallDigit); var fake = (big: leftSmallDigit, small: rightBigDigit - 1); var first = dic[zeroMaxPair][0]; var second = dic[zeroMaxPair][1]; var expected = (0, n - 1); timesAsked++; if (timesAsked > all * 3 / 2) throw new Exception(); var check = Ask(oneZero, first, cin, a, n); if (expected == check) { zeroMax = first; //dic.Add(revMaxZeroPair, new List()); //dic[maxZeroPair].Clear(); //dic[genuine].Add(first); //dic[fake].Add(second); qa[first] = genuine; qa[second] = fake; } else { zeroMax = second; //dic.Add(revMaxZeroPair, new List()); //dic[maxZeroPair].Clear(); //dic[genuine].Add(second); //dic[fake].Add(first); qa[first] = fake; qa[second] = genuine; } } foreach (var e in dic) { if (e.Value.Count >= 2) { var genuine = e.Key; var fake = (p: e.Key.q, q: e.Key.p); var expected = (big: ans[0].big + genuine.p - 1, small: ans[0].small + genuine.q - (n - 1)); if (expected.big > expected.small) { var t = expected.big; expected.big = expected.small; expected.small = t; } timesAsked++; if (timesAsked > all * 3 / 2) throw new Exception(); var check = Ask(zeroMax, 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); qa[dic[e.Key][0]] = genuine; qa[dic[e.Key][1]] = fake; } else { //dic.Add(revPair, new List()); //dic[revPair].Add(dic[e.Key][0]); //dic[e.Key].RemoveAt(0); qa[dic[e.Key][0]] = fake; qa[dic[e.Key][1]] = genuine; } } } for (int i = 0; i < all; i++) { var (p, q) = qa[i]; if (leftBigDigit <= p && p < rightBigDigit && leftSmallDigit <= q && q < rightSmallDigit) { // do nothing } else { var t = p; p = q; q = t; } ans[i] = (ans[0].big + p, ans[0].small + q); } var answer = ans.Select(p => p.big * n + p.small).ToArray(); Answer(answer); return answer; } public static (int p, int q) Ask(int i, int j, Scanner cin, int[] ans, int n) { if (ans == null) { Console.WriteLine($"? {j + 1} {i + 1}"); Console.Out.Flush(); var (p, q) = cin.ReadValue(); return (p, q); } else { Console.WriteLine($"? {j + 1} {i + 1}"); 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; } Console.WriteLine($"\t{p} {q}"); Console.Out.Flush(); return (p, q); } } public static void Answer(IEnumerable a) { Console.WriteLine($"! {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); } } }