結果

問題 No.1306 Exactly 2 Digits
ユーザー fairy_lettucefairy_lettuce
提出日時 2020-12-03 01:52:05
言語 C#(csc)
(csc 3.9.0)
結果
WA  
実行時間 -
コード長 12,769 bytes
コンパイル時間 4,599 ms
コンパイル使用メモリ 115,936 KB
実行使用メモリ 43,096 KB
平均クエリ数 1019.60
最終ジャッジ日時 2023-09-24 07:51:43
合計ジャッジ時間 42,083 ms
ジャッジサーバーID
(参考情報)
judge15 / judge14
このコードへのチャレンジ
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テストケース

テストケース表示
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権限があれば一括ダウンロードができます
コンパイルメッセージ
Microsoft (R) Visual C# Compiler version 3.9.0-6.21124.20 (db94f4cc)
Copyright (C) Microsoft Corporation. All rights reserved.

ソースコード

diff #

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<int>>();

			ret[n] += 2;
			dic.Add((0, 0), new List<int>());
			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<int>());
				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<int>());
					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<int>());
					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<int>());
						dic[revPair].Add(dic[e.Key][1]);
						dic[e.Key].RemoveAt(1);
					}
					else
					{
						dic.Add(revPair, new List<int>());
						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<int, int>();
			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<int> 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<T>(ref T a, T b) where T : IComparable<T>
		{
			if (a.CompareTo(b) >= 0) return false;
			a = b;
			return true;
		}
		public static bool Chmin<T>(ref T a, T b) where T : IComparable<T>
		{
			if (a.CompareTo(b) <= 0) return false;
			a = b;
			return true;
		}
	}

	static class Extention
	{
		public static string Join<T>(this IEnumerable<T> x, string separator = "") => string.Join(separator, x);

		public static int UpperBound<T>(this IList<T> list, T value) => list.BinarySearch(value, true, 0, list.Count, Comparer<T>.Default);
		public static int LowerBound<T>(this IList<T> list, T value) => list.BinarySearch(value, false, 0, list.Count, Comparer<T>.Default);
		public static int BinarySearch<T>(this IList<T> list, T value, bool isUpperBound, int index, int length, Comparer<T> 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>() => (T1)Convert.ChangeType(ReadString(), typeof(T1));

		public (T1, T2) ReadValue<T1, T2>()
		{
			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<T1, T2, T3>()
		{
			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<T1, T2, T3, T4>()
		{
			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<T1, T2, T3, T4, T5>()
		{
			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<T1, T2, T3, T4, T5, T6>()
		{
			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<T1, T2, T3, T4, T5, T6, T7>()
		{
			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<T1>(int N)
		{
			var v1 = new T1[N];
			for (int i = 0; i < N; i++)
			{
				v1[i] = ReadValue<T1>();
			}
			return v1;
		}

		public (T1[], T2[]) ReadValueArray<T1, T2>(int N)
		{
			var (v1, v2) = (new T1[N], new T2[N]);
			for (int i = 0; i < N; i++)
			{
				var (t1, t2) = ReadValue<T1, T2>();
				v1[i] = t1;
				v2[i] = t2;
			}
			return (v1, v2);
		}

		public (T1[], T2[], T3[]) ReadValueArray<T1, T2, T3>(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<T1, T2, T3>();
				v1[i] = t1;
				v2[i] = t2;
				v3[i] = t3;
			}
			return (v1, v2, v3);
		}

		public (T1[], T2[], T3[], T4[]) ReadValueArray<T1, T2, T3, T4>(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<T1, T2, T3, T4>();
				v1[i] = t1;
				v2[i] = t2;
				v3[i] = t3;
				v4[i] = t4;
			}
			return (v1, v2, v3, v4);
		}

		public (T1[], T2[], T3[], T4[], T5[]) ReadValueArray<T1, T2, T3, T4, T5>(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<T1, T2, T3, T4, T5>();
				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<T1, T2, T3, T4, T5, T6>(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<T1, T2, T3, T4, T5, T6>();
				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<T1, T2, T3, T4, T5, T6, T7>(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<T1, T2, T3, T4, T5, T6, T7>();
				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);
		}
	}
}
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