using System; using System.Collections.Generic; using System.IO; using System.Linq; using System.Text; using System.Runtime.CompilerServices; using System.Runtime.InteropServices; using YukicoderContest260.Extensions; using YukicoderContest260.Questions; using System.Diagnostics; namespace YukicoderContest260.Questions { public class QuestionA : AtCoderQuestionBase { int[] _grundy; public override IEnumerable Solve(TextReader inputStream) { var n = inputStream.ReadInt(); var painted = new bool[n]; _grundy = GetGrundy(n); while (true) { var (x, k) = Think(painted); yield return $"{k} {x + 1}"; ShowBoard(painted); ShowGrundy(painted); // 敵の処理 var t = inputStream.ReadInt(); if (t == 3) { var (enemyK, enemyX) = inputStream.ReadValue(); enemyX--; Paint(painted, enemyX, enemyK); ShowBoard(painted); ShowGrundy(painted); } else { break; } } } private int[] GetGrundy(int n) { var grundies = Enumerable.Repeat(-1, n + 1).ToArray(); grundies[0] = 0; grundies[1] = 1; for (int length = 2; length < grundies.Length; length++) { var nextGrundies = new bool[grundies.Length]; for (int x = 0; x < n; x++) { for (int k = 1; k <= 2; k++) { if (x + k > length) { continue; } var left = x; var right = length - (x + k); nextGrundies[grundies[left] ^ grundies[right]] = true; } } grundies[length] = GetMex(nextGrundies); } return grundies; } private int GetMex(bool[] nextGrundies) { for (int i = 0; i < nextGrundies.Length; i++) { if (!nextGrundies[i]) { return i; } } return nextGrundies.Length; } private (int x, int k) Think(bool[] painted) { for (int x = 0; x < painted.Length; x++) { for (int k = 1; k <= 2; k++) { if (x + k > painted.Length) { continue; } if (CanPaint(painted, x, k)) { Paint(painted, x, k); if (GetGrundy(painted) == 0) { return (x, k); } else { UnPaint(painted, x, k); } } } } return (-1, -1); } private bool CanPaint(bool[] painted, int x, int k) { var ok = true; for (int i = 0; i < k; i++) { ok &= !painted[x + i]; } return ok; } private int GetGrundy(bool[] painted) { var current = 0; var grundy = 0; for (int i = 0; i < painted.Length; i++) { if (painted[i]) { grundy ^= _grundy[current]; current = 0; } else { current++; } } return grundy ^ _grundy[current]; } private void Paint(bool[] painted, int x, int k) { for (int i = 0; i < k; i++) { painted[x + i] = true; } } private void UnPaint(bool[] painted, int x, int k) { for (int i = 0; i < k; i++) { painted[x + i] = false; } } [Conditional("DEBUG")] private void ShowBoard(bool[] painted) { Console.WriteLine(painted.Select(b => b ? '■' : '□').Join()); } [Conditional("DEBUG")] private void ShowGrundy(bool[] painted) { Console.WriteLine($"Grundy: {GetGrundy(painted)}"); } } } namespace YukicoderContest260 { class Program { static void Main(string[] args) { IAtCoderQuestion question = new QuestionA(); var answers = question.Solve(Console.In); //var writer = new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false }; //Console.SetOut(writer); foreach (var answer in answers) { Console.WriteLine(answer); } Console.Out.Flush(); } } } #region Base Class namespace YukicoderContest260.Questions { public interface IAtCoderQuestion { IEnumerable Solve(string input); IEnumerable Solve(TextReader inputStream); } public abstract class AtCoderQuestionBase : IAtCoderQuestion { public IEnumerable Solve(string input) { var stream = new MemoryStream(Encoding.Unicode.GetBytes(input)); var reader = new StreamReader(stream, Encoding.Unicode); return Solve(reader); } public abstract IEnumerable Solve(TextReader inputStream); } } #endregion #region Extensions namespace YukicoderContest260.Extensions { public static class StringExtensions { public static string Join(this IEnumerable source) => string.Concat(source); public static string Join(this IEnumerable source, char separator) => string.Join(separator, source); public static string Join(this IEnumerable source, string separator) => string.Join(separator, source); } public static class TextReaderExtensions { public static int ReadInt(this TextReader reader) => int.Parse(ReadString(reader)); public static long ReadLong(this TextReader reader) => long.Parse(ReadString(reader)); public static double ReadDouble(this TextReader reader) => double.Parse(ReadString(reader)); public static string ReadString(this TextReader reader) => reader.ReadLine(); public static int[] ReadIntArray(this TextReader reader, char separator = ' ') => ReadStringArray(reader, separator).Select(int.Parse).ToArray(); public static long[] ReadLongArray(this TextReader reader, char separator = ' ') => ReadStringArray(reader, separator).Select(long.Parse).ToArray(); public static double[] ReadDoubleArray(this TextReader reader, char separator = ' ') => ReadStringArray(reader, separator).Select(double.Parse).ToArray(); public static string[] ReadStringArray(this TextReader reader, char separator = ' ') => reader.ReadLine().Split(separator); // Supports primitive type only. public static T1 ReadValue(this TextReader reader) => (T1)Convert.ChangeType(reader.ReadLine(), typeof(T1)); public static (T1, T2) ReadValue(this TextReader reader, char separator = ' ') { var inputs = ReadStringArray(reader, separator); var v1 = (T1)Convert.ChangeType(inputs[0], typeof(T1)); var v2 = (T2)Convert.ChangeType(inputs[1], typeof(T2)); return (v1, v2); } public static (T1, T2, T3) ReadValue(this TextReader reader, char separator = ' ') { var inputs = ReadStringArray(reader, separator); 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 static (T1, T2, T3, T4) ReadValue(this TextReader reader, char separator = ' ') { var inputs = ReadStringArray(reader, separator); 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 static (T1, T2, T3, T4, T5) ReadValue(this TextReader reader, char separator = ' ') { var inputs = ReadStringArray(reader, separator); 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 static (T1, T2, T3, T4, T5, T6) ReadValue(this TextReader reader, char separator = ' ') { var inputs = ReadStringArray(reader, separator); 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 static (T1, T2, T3, T4, T5, T6, T7) ReadValue(this TextReader reader, char separator = ' ') { var inputs = ReadStringArray(reader, separator); 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 static (T1, T2, T3, T4, T5, T6, T7, T8) ReadValue(this TextReader reader, char separator = ' ') { var inputs = ReadStringArray(reader, separator); 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)); var v8 = (T8)Convert.ChangeType(inputs[7], typeof(T8)); return (v1, v2, v3, v4, v5, v6, v7, v8); } } } #endregion