战舰!

早在2003年(当时我17岁),我参加了一场《战舰》AI编码比赛。尽管我输了那场比赛,但我从中获得了很多乐趣,也学到了很多东西。

现在,我想恢复这个比赛,在搜索最好的战舰AI。

下面是这个框架,现在托管在Bitbucket上。

获胜者将获得+450声望奖励!比赛将于2009年11月17日开始。17号零时之前的投稿和编辑将不被接受。(中央标准时间) 尽早提交你的作品,这样你就不会错过机会!

为了保持这个目标,请遵循比赛的精神。

游戏规则:

游戏在10x10的网格上进行。 每个参赛者将5艘船(长度为2、3、3、4、5)中的每一艘放在他们的网格上。 没有船只可以重叠,但它们可以相邻。 然后选手们轮流向对手射击。 游戏的一个变体允许每次齐射多次,每艘幸存的船一次。 如果击球沉、命中或未命中,对手将通知选手。 当任何一名玩家的所有船只都沉没时,游戏就结束了。

比赛规则:

The spirit of the competition is to find the best Battleship algorithm. Anything that is deemed against the spirit of the competition will be grounds for disqualification. Interfering with an opponent is against the spirit of the competition. Multithreading may be used under the following restrictions: No more than one thread may be running while it is not your turn. (Though, any number of threads may be in a "Suspended" state). No thread may run at a priority other than "Normal". Given the above two restrictions, you will be guaranteed at least 3 dedicated CPU cores during your turn. A limit of 1 second of CPU time per game is allotted to each competitor on the primary thread. Running out of time results in losing the current game. Any unhandled exception will result in losing the current game. Network access and disk access is allowed, but you may find the time restrictions fairly prohibitive. However, a few set-up and tear-down methods have been added to alleviate the time strain. Code should be posted on stack overflow as an answer, or, if too large, linked. Max total size (un-compressed) of an entry is 1 MB. Officially, .Net 2.0 / 3.5 is the only framework requirement. Your entry must implement the IBattleshipOpponent interface.

得分:

Best 51 games out of 101 games is the winner of a match. All competitors will play matched against each other, round-robin style. The best half of the competitors will then play a double-elimination tournament to determine the winner. (Smallest power of two that is greater than or equal to half, actually.) I will be using the TournamentApi framework for the tournament. The results will be posted here. If you submit more than one entry, only your best-scoring entry is eligible for the double-elim.

好运!玩得开心!


编辑1: 多亏弗里德,他在飞船上发现了一个错误。是否是可用的函数。问题已经解决了。请下载框架的更新版本。

编辑2: 由于人们对将统计数据持久化到磁盘等非常感兴趣,所以我添加了一些非计时设置和删除事件,它们应该能够提供所需的功能。这是一个半突破性的变化。也就是说:修改了接口,添加了功能,但不需要body。请下载框架的更新版本。

编辑3: 错误修复1:GameWon和GameLost只在超时的情况下被调用。 错误修复2:如果引擎在每一款游戏中都暂停计时,那么竞争将永远不会结束。 请下载框架的更新版本。

编辑4: 比赛结果:


当前回答

关于竞争引擎的一些评论:

NewGame参数:

如果IBattleshipOpponent::NewGame用于游戏前设置,并接受一个boardsize,那么它还应该接受一个船的列表及其各自的大小。在不考虑船舶配置变化的情况下,允许可变的船板尺寸是没有意义的。

船舶是密封的:

我看不出为什么船班是封闭的。除了其他基本的东西,我想船有一个名字,所以我可以输出消息(“你沉没了我的{0}”,船.Name);我还考虑了其他扩展,所以我认为Ship应该是可继承的。

时间限制:

虽然1秒的时间限制对比赛规则来说是有意义的,但它完全扰乱了调试。BattleshipCompetition应该有一个容易忽略时间冲突的设置,以帮助开发/调试。我还建议调查System.Diagnostics。Process::UserProcessorTime / Privileged ProcessorTime / TotalProcessorTime用于更准确地查看正在使用的时间。

沉没的船只:

当你击沉对手的船时,当前的API会通知你:

ShotHit(Point shot, bool sunk);

但不是你击沉了哪艘船!我认为这是人类战列舰规则的一部分,你必须宣布“你击沉了我的战列舰!”(或驱逐舰,或潜艇等)。

当AI试图清除相互碰撞的船只时,这一点尤其重要。我想要求API更改为:

ShotHit(Point shot, Ship ship);

如果ship为非空,则意味着该射击是一个击沉射击,并且您知道您击沉了哪艘船以及它的长度。如果射击是一个非下沉射击,那么船是空的,你没有进一步的信息。

其他回答

我的条目。

没有什么特别的,我也没有时间把我所有的好主意都加上去。

但它似乎玩得相当不错。我们将看到它在竞争中的表现:

(将此文件放入Missouri.cs并添加到项目中。)

using System;
using System.Collections.ObjectModel;
using System.Drawing;
using System.Collections.Generic;
using System.Linq;
using System.Diagnostics;

namespace Battleship
{
    // The Empire of Japan surrendered on the deck of the USS Missouri on Sept. 2, 1945
    public class USSMissouri : IBattleshipOpponent
    {
        public String  Name    { get { return name; } }
        public Version Version { get { return ver;  } }

#region IBattleship Interface
        // IBattleship::NewGame
        public void NewGame(Size gameSize, TimeSpan timeSpan)
        {
            size      = gameSize;
            shotBoard = new ShotBoard(size);
            attackVector = new Stack<Attack>();
        }

        // IBattleship::PlaceShips
        public void PlaceShips(ReadOnlyCollection<Ship> ships)
        {
            HunterBoard board;
            targetBoards = new List<HunterBoard>();
            shotBoard    = new ShotBoard(size);
            foreach (Ship s in ships)
            {
                board = new HunterBoard(this, size, s);
                targetBoards.Add(board);

                // REWRITE: to ensure valid board placement.
                s.Place(
                    new Point(
                        rand.Next(size.Width),
                        rand.Next(size.Height)),
                    (ShipOrientation)rand.Next(2));
            }
        }

        // IBattleship::GetShot
        public Point GetShot()
        {
            Point p = new Point();

            if (attackVector.Count() > 0)
            {
                p = ExtendShot();
                return p;
            }

            // Contemplate a shot at every-single point, and measure how effective it would be.
            Board potential = new Board(size);
            for(p.Y=0; p.Y<size.Height; ++p.Y)
            {
                for(p.X=0; p.X<size.Width; ++p.X)
                {
                    if (shotBoard.ShotAt(p))
                    {
                        potential[p] = 0;
                        continue;
                    }

                    foreach(HunterBoard b in targetBoards)
                    {
                        potential[p] += b.GetWeightAt(p);
                    }
                }
            }

            // Okay, we have the shot potential of the board.
            // Lets pick a weighted-random spot.
            Point shot;
            shot = potential.GetWeightedRandom(rand.NextDouble());

            shotBoard[shot] = Shot.Unresolved;

            return shot;
        }

        public Point ExtendShot()
        {
            // Lets consider North, South, East, and West of the current shot.
            // and measure the potential of each
            Attack attack = attackVector.Peek();

            Board potential = new Board(size);

            Point[] points = attack.GetNextTargets();
            foreach(Point p in points)
            {
                if (shotBoard.ShotAt(p))
                {
                    potential[p] = 0;
                    continue;
                }

                foreach(HunterBoard b in targetBoards)
                {
                    potential[p] += b.GetWeightAt(p);
                }
            }

            Point shot = potential.GetBestShot();
            shotBoard[shot] = Shot.Unresolved;
            return shot;
        }

        // IBattleship::NewMatch
        public void NewMatch(string opponent)
        {
        }
        public void OpponentShot(Point shot)
        {
        }
        public void ShotHit(Point shot, bool sunk)
        {
            shotBoard[shot] = Shot.Hit;

            if (!sunk)
            {
                if (attackVector.Count == 0) // This is a first hit, open an attackVector
                {   
                    attackVector.Push(new Attack(this, shot));
                }
                else
                {
                    attackVector.Peek().AddHit(shot);    // Add a hit to our current attack.
                }
            }

            // What if it is sunk?  Close the top attack, which we've been pursuing.
            if (sunk)
            {
                if (attackVector.Count > 0)
                {
                    attackVector.Pop();
                }
            }
        }
        public void ShotMiss(Point shot)
        {
            shotBoard[shot] = Shot.Miss;

            foreach(HunterBoard b in targetBoards)
            {
                b.ShotMiss(shot);  // Update the potential map.
            }
        }
        public void GameWon()
        {
            Trace.WriteLine  ("I won the game!");
        }
        public void GameLost()
        {
            Trace.WriteLine  ("I lost the game!");
        }
        public void MatchOver()
        {
            Trace.WriteLine("This match is over.");
        }

#endregion 

        public ShotBoard theShotBoard
        {
            get { return shotBoard; }
        }
        public Size theBoardSize
        {
            get { return size; }
        }

        private Random rand = new Random();
        private Version ver = new Version(6, 3); // USS Missouri is BB-63, hence version 6.3
        private String name = "USS Missouri (abelenky@alum.mit.edu)";
        private Size size;
        private List<HunterBoard> targetBoards;
        private ShotBoard shotBoard;
        private Stack<Attack> attackVector;
    }

    // An Attack is the data on the ship we are currently working on sinking.
    // It consists of a set of points, horizontal and vertical, from a central point.
    // And can be extended in any direction.
    public class Attack
    {
        public Attack(USSMissouri root, Point p)
        {
            Player = root;
            hit = p;
            horzExtent = new Extent(p.X, p.X);
            vertExtent = new Extent(p.Y, p.Y);
        }

        public Extent HorizontalExtent
        {
            get { return horzExtent; }
        }
        public Extent VerticalExtent
        {
            get { return vertExtent; }
        }
        public Point  FirstHit
        {
            get { return hit; }
        }

        public void AddHit(Point p)
        {
            if (hit.X == p.X) // New hit in the vertical direction
            {
                vertExtent.Min = Math.Min(vertExtent.Min, p.Y);
                vertExtent.Max = Math.Max(vertExtent.Max, p.Y);
            }
            else if (hit.Y == p.Y)
            {
                horzExtent.Min = Math.Min(horzExtent.Min, p.X);
                horzExtent.Max = Math.Max(horzExtent.Max, p.X);
            }
        }
        public Point[] GetNextTargets() 
        {
            List<Point> bors = new List<Point>();

            Point p;

            p = new Point(hit.X, vertExtent.Min-1);
            while (p.Y >= 0 && Player.theShotBoard[p] == Shot.Hit)
            {
                if (Player.theShotBoard[p] == Shot.Miss)
                {
                    break; // Don't add p to the List 'bors.  
                }
                --p.Y;
            }
            if (p.Y >= 0 && Player.theShotBoard[p] == Shot.None) // Add next-target only if there is no shot here yet.
            {
                bors.Add(p);
            }

            //-------------------

            p = new Point(hit.X, vertExtent.Max+1);
            while (p.Y < Player.theBoardSize.Height && Player.theShotBoard[p] == Shot.Hit)
            {
                if (Player.theShotBoard[p] == Shot.Miss)
                {
                    break; // Don't add p to the List 'bors.  
                }
                ++p.Y;
            }
            if (p.Y < Player.theBoardSize.Height && Player.theShotBoard[p] == Shot.None)
            {
                bors.Add(p);
            }

            //-------------------

            p = new Point(horzExtent.Min-1, hit.Y);
            while (p.X >= 0 && Player.theShotBoard[p] == Shot.Hit)
            {
                if (Player.theShotBoard[p] == Shot.Miss)
                {
                    break; // Don't add p to the List 'bors.  
                }
                --p.X;
            }
            if (p.X >= 0 && Player.theShotBoard[p] == Shot.None)
            {
                bors.Add(p);
            }

            //-------------------

            p = new Point(horzExtent.Max+1, hit.Y);
            while (p.X < Player.theBoardSize.Width && Player.theShotBoard[p] == Shot.Hit)
            {
                if (Player.theShotBoard[p] == Shot.Miss)
                {
                    break; // Don't add p to the List 'bors.  
                }
                ++p.X;
            }
            if (p.X < Player.theBoardSize.Width && Player.theShotBoard[p] == Shot.None)
            {
                bors.Add(p);
            }

            return bors.ToArray();
        }

        private Point hit; 
        private Extent horzExtent;
        private Extent vertExtent;
        private USSMissouri Player;
    }

    public struct Extent
    {
        public Extent(Int32 min, Int32 max)
        {
            Min = min;
            Max = max;
        }
        public Int32 Min;
        public Int32 Max;
    }

    public class Board  // The potential-Board, which measures the full potential of each square.
    {
        // A Board is the status of many things.
        public Board(Size boardsize)
        {
            size = boardsize;
            grid = new int[size.Width , size.Height];
            Array.Clear(grid,0,size.Width*size.Height);
        }

        public int this[int c,int r]
        {
            get { return grid[c,r];  }
            set { grid[c,r] = value; }
        }
        public int this[Point p]
        {
            get { return grid[p.X, p.Y];  }
            set { grid[p.X, p.Y] = value; }
        }

        public Point GetWeightedRandom(double r)
        {
            Int32 sum = 0;
            foreach(Int32 i in grid)
            {
                sum += i;
            }

            Int32 index = (Int32)(r*sum);

            Int32 x=0, y=0;
            for(y=0; y<size.Height; ++y)
            {
                for(x=0; x<size.Width; ++x)
                {
                    if (grid[x,y] == 0) continue; // Skip any zero-cells
                    index -= grid[x,y];
                    if (index < 0) break;
                }
                if (index < 0) break;
            }

            if (x == 10 || y == 10)
                throw new Exception("WTF");

            return new Point(x,y);
        }

        public Point GetBestShot()
        {
            int max=grid[0,0];
            for(int y=0; y<size.Height; ++y)
            {
                for (int x=0; x<size.Width; ++x)
                {
                    max = (grid[x,y] > max)? grid[x,y] : max;
                }
            }

            for(int y=0; y<size.Height; ++y)
            {
                for (int x=0; x<size.Width; ++x)
                {
                    if (grid[x,y] == max)
                    {
                        return new Point(x,y);
                    }
                }
            }
            return new Point(0,0);
        }

        public bool IsZero()
        {
            foreach(Int32 p in grid)
            {
                if (p > 0)
                {
                    return false;
                }
            }
            return true;
        }

        public override String ToString()
        {
            String output = "";
            String horzDiv = "   +----+----+----+----+----+----+----+----+----+----+\n";
            String disp;
            int x,y;

            output += "      A    B    C    D    E    F    G    H    I    J    \n" + horzDiv;

            for(y=0; y<size.Height; ++y)
            {
                output += String.Format("{0} ", y+1).PadLeft(3);
                for(x=0; x<size.Width; ++x)
                {
                    switch(grid[x,y])
                    {
                        case (int)Shot.None:       disp = "";  break;
                        case (int)Shot.Hit:        disp = "#"; break;
                        case (int)Shot.Miss:       disp = "."; break;
                        case (int)Shot.Unresolved: disp = "?"; break;
                        default:                   disp = "!"; break;
                    }

                    output += String.Format("| {0} ", disp.PadLeft(2));
                }
                output += "|\n" + horzDiv;
            }

            return output;
        }

        protected Int32[,] grid;
        protected Size     size;
    }

    public class HunterBoard
    {
        public HunterBoard(USSMissouri root, Size boardsize, Ship target)
        {
            size = boardsize;
            grid = new int[size.Width , size.Height];
            Array.Clear(grid,0,size.Width*size.Height);

            Player = root;
            Target = target;
            Initialize();
        }

        public void Initialize()
        {
            int x, y, i;

            for(y=0; y<size.Height; ++y)
            {
                for(x=0; x<size.Width - Target.Length+1; ++x)
                {
                    for(i=0; i<Target.Length; ++i)
                    {
                        grid[x+i,y]++;
                    }
                }
            }

            for(y=0; y<size.Height-Target.Length+1; ++y)
            {
                for(x=0; x<size.Width; ++x)
                {
                    for(i=0; i<Target.Length; ++i)
                    {
                        grid[x,y+i]++;
                    }
                }
            }
        }

        public int this[int c,int r]
        {
            get { return grid[c,r];  }
            set { grid[c,r] = value; }
        }
        public int this[Point p]
        {
            get { return grid[p.X, p.Y];  }
            set { grid[p.X, p.Y] = value; }
        }

        public void ShotMiss(Point p)
        {
            int x,y;
            int min, max;

            min = Math.Max(p.X-Target.Length+1, 0);
            max = Math.Min(p.X, size.Width-Target.Length);
            for(x=min; x<=max; ++x)
            {
                DecrementRow(p.Y, x, x+Target.Length-1);
            }

            min = Math.Max(p.Y-Target.Length+1, 0);
            max = Math.Min(p.Y, size.Height-Target.Length);
            for(y=min; y<=max; ++y)
            {
                DecrementColumn(p.X, y, y+Target.Length-1);
            } 

            grid[p.X, p.Y] = 0;
        }

        public void ShotHit(Point p)
        {
        }

        public override String ToString()
        {
            String output = String.Format("Target size is {0}\n", Target.Length);
            String horzDiv = "   +----+----+----+----+----+----+----+----+----+----+\n";
            int x,y;

            output += "      A    B    C    D    E    F    G    H    I    J    \n" + horzDiv;
            for(y=0; y<size.Height; ++y)
            {
                output += String.Format("{0} ", y+1).PadLeft(3);
                for(x=0; x<size.Width; ++x)
                {
                    output += String.Format("| {0} ", grid[x,y].ToString().PadLeft(2));
                }
                output += "|\n" + horzDiv;
            }
            return output;
        }

        // If we shoot at point P, how does that affect the potential of the board?
        public Int32 GetWeightAt(Point p)
        {
            int x,y;
            int potential = 0;
            int min, max;

            min = Math.Max(p.X-Target.Length+1, 0);
            max = Math.Min(p.X, size.Width-Target.Length);
            for(x=min; x<=max; ++x)
            {
                if (Player.theShotBoard.isMissInRow(p.Y, x, x+Target.Length-1) == false)
                {
                    ++potential;
                }
            }

            min = Math.Max(p.Y-Target.Length+1, 0);
            max = Math.Min(p.Y, size.Height-Target.Length);
            for(y=min; y<=max; ++y)
            {
                if (Player.theShotBoard.isMissInColumn(p.X, y, y+Target.Length-1) == false)
                {
                    ++potential;
                }
            } 

            return potential;
        }

        public void DecrementRow(int row, int rangeA, int rangeB)
        {
            int x;
            for(x=rangeA; x<=rangeB; ++x)
            {
                grid[x,row] = (grid[x,row]==0)? 0 : grid[x,row]-1;
            }
        }
        public void DecrementColumn(int col, int rangeA, int rangeB)
        {
            int y;
            for(y=rangeA; y<=rangeB; ++y)
            {
                grid[col,y] = (grid[col,y]==0)? 0 : grid[col,y]-1;
            }
        }

        private Ship Target = null;
        private USSMissouri Player;
        private Int32[,] grid;
        private Size     size;
    }

    public enum Shot
    {
        None = 0,
        Hit = 1,
        Miss = 2,
        Unresolved = 3
    };

    public class ShotBoard
    {
        public ShotBoard(Size boardsize)
        {
            size = boardsize;
            grid = new Shot[size.Width , size.Height];

            for(int y=0; y<size.Height; ++y)
            {
                for(int x=0; x<size.Width; ++x)
                {
                    grid[x,y] = Shot.None;
                }
            }
        }

        public Shot this[int c,int r]
        {
            get { return grid[c,r];  }
            set { grid[c,r] = value; }
        }
        public Shot this[Point p]
        {
            get { return grid[p.X, p.Y];  }
            set { grid[p.X, p.Y] = value; }
        }

        public override String ToString()
        {
            String output = "";
            String horzDiv = "   +----+----+----+----+----+----+----+----+----+----+\n";
            String disp;
            int x,y;

            output += "      A    B    C    D    E    F    G    H    I    J    \n" + horzDiv;

            for(y=0; y<size.Height; ++y)
            {
                output += String.Format("{0} ", y+1).PadLeft(3);
                for(x=0; x<size.Width; ++x)
                {
                    switch(grid[x,y])
                    {
                        case Shot.None:       disp = "";  break;
                        case Shot.Hit:        disp = "#"; break;
                        case Shot.Miss:       disp = "."; break;
                        case Shot.Unresolved: disp = "?"; break;
                        default:              disp = "!"; break;
                    }

                    output += String.Format("| {0} ", disp.PadLeft(2));
                }
                output += "|\n" + horzDiv;
            }
            return output;
        }

        // Functions to find shots on the board, at a specific point, or in a row or column, within a range
        public bool ShotAt(Point p)
        {
            return !(this[p]==Shot.None);
        }
        public bool isMissInColumn(int col, int rangeA, int rangeB)
        {
            for(int y=rangeA; y<=rangeB; ++y)
            {
                if (grid[col,y] == Shot.Miss)
                {
                    return true;
                }
            }
            return false;
        }
        public bool isMissInRow(int row, int rangeA, int rangeB)
        {
            for(int x=rangeA; x<=rangeB; ++x)
            {
                if (grid[x,row] == Shot.Miss)
                {
                    return true;
                }
            }
            return false;
        }
        protected Shot[,] grid;
        protected Size     size;
    }
}

这不是极大极小。实际上,在放置船只之后,难道每个玩家都不能自己玩,导致他花了很多回合去击沉所有对手的船只吗?回合少的人赢。

我认为除了击沉被击中的船只和尽量减少射击数量以覆盖剩下的船只可能隐藏的地方之外,没有什么好的总体策略。

当然,对于任何非随机的情况,我们都有对策。但我不认为有什么策略对所有可能的对手都有效。

交火中更新。 我知道它不能与Farnsworth或Dreadnought竞争,但它比后者快得多,而且如果有人想尝试的话,它很简单。 这依赖于我的库的当前状态,包括在这里使它易于使用。

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Drawing;
using System.IO;
using System.Collections.ObjectModel;

namespace Battleship.ShuggyCoUk
{
    public class Simple : IBattleshipOpponent
    {
        BoardView<OpponentsBoardState> opponentsBoard = new BoardView<OpponentsBoardState>(new Size(10,10));
        Rand rand = new Rand();
        int gridOddEven;
        Size size;

        public string Name { get { return "Simple"; } }

        public Version Version { get { return new Version(2, 1); }}

        public void NewMatch(string opponent) {}

        public void NewGame(System.Drawing.Size size, TimeSpan timeSpan)
        {
            this.size = size;
            this.opponentsBoard = new BoardView<OpponentsBoardState>(size);
            this.gridOddEven = rand.Pick(new[] { 0, 1 });
        }

        public void PlaceShips(System.Collections.ObjectModel.ReadOnlyCollection<Ship> ships)
        {
            BoardView<bool> board = new BoardView<bool>(size);
            var AllOrientations = new[] {
                ShipOrientation.Horizontal,
                ShipOrientation.Vertical };

            foreach (var ship in ships)
            {
                int avoidTouching = 3;
                while (!ship.IsPlaced)
                {
                    var l = rand.Pick(board.Select(c => c.Location));
                    var o = rand.Pick(AllOrientations);
                    if (ship.IsLegal(ships, size, l, o))
                    {
                        if (ship.IsTouching(ships, l, o)&& --avoidTouching > 0)
                            continue;
                        ship.Place(l, o);
                    }
                }
            }
        }
        protected virtual Point PickWhenNoTargets()
        {
            return rand.PickBias(x => x.Bias,
                opponentsBoard
                // nothing 1 in size
                .Where(c => (c.Location.X + c.Location.Y) % 2 == gridOddEven)
                .Where(c => c.Data == OpponentsBoardState.Unknown))
                .Location;
        }

        private int SumLine(Cell<OpponentsBoardState> c, int acc)
        {
            if (acc >= 0)
                return acc;
            if (c.Data == OpponentsBoardState.Hit)
                return acc - 1;
            return -acc;
        }

        public System.Drawing.Point GetShot()
        {
            var targets = opponentsBoard
                .Where(c => c.Data == OpponentsBoardState.Hit)
                .SelectMany(c => c.Neighbours())
                .Where(c => c.Data == OpponentsBoardState.Unknown)
                .ToList();
            if (targets.Count > 1)
            {
                var lines = targets.Where(
                    x => x.FoldAll(-1, SumLine).Select(r => Math.Abs(r) - 1).Max() > 1).ToList();
                if (lines.Count > 0)
                    targets = lines;
            }
            var target = targets.RandomOrDefault(rand);
            if (target == null)
                return PickWhenNoTargets();
            return target.Location;
        }

        public void OpponentShot(System.Drawing.Point shot)
        {
        }

        public void ShotHit(Point shot, bool sunk)
        {
            opponentsBoard[shot] = OpponentsBoardState.Hit;
            Debug(shot, sunk);
        }

        public void ShotMiss(Point shot)
        {
            opponentsBoard[shot] = OpponentsBoardState.Miss;
            Debug(shot, false);
        }

        public const bool DebugEnabled = false;

        public void Debug(Point shot, bool sunk)
        {
            if (!DebugEnabled)
                return;
            opponentsBoard.WriteAsGrid(
                Console.Out,
                x =>
                {
                    string t;
                    switch (x.Data)
                    {
                        case OpponentsBoardState.Unknown:
                            return " ";
                        case OpponentsBoardState.Miss:
                            t = "m";
                            break;
                        case OpponentsBoardState.MustBeEmpty:
                            t = "/";
                            break;
                        case OpponentsBoardState.Hit:
                            t = "x";
                            break;
                        default:
                            t = "?";
                            break;
                    }
                    if (x.Location == shot)
                        t = t.ToUpper();
                    return t;
                });
            if (sunk)
                Console.WriteLine("sunk!");
            Console.ReadLine();
        }

        public void GameWon()
        {
        }

        public void GameLost()
        {
        }

        public void MatchOver()
        {
        }

        #region Library code
        enum OpponentsBoardState
        {
            Unknown = 0,
            Miss,
            MustBeEmpty,
            Hit,
        }

        public enum Compass
        {
            North, East, South, West
        }

        class Cell<T>
        {
            private readonly BoardView<T> view;
            public readonly int X;
            public readonly int Y;
            public T Data;
            public double Bias { get; set; }

            public Cell(BoardView<T> view, int x, int y)
            {
                this.view = view; this.X = x; this.Y = y; this.Bias = 1.0;
            }

            public Point Location
            {
                get { return new Point(X, Y); }
            }

            public IEnumerable<U> FoldAll<U>(U acc, Func<Cell<T>, U, U> trip)
            {
                return new[] { Compass.North, Compass.East, Compass.South, Compass.West }
                    .Select(x => FoldLine(x, acc, trip));
            }

            public U FoldLine<U>(Compass direction, U acc, Func<Cell<T>, U, U> trip)
            {
                var cell = this;
                while (true)
                {
                    switch (direction)
                    {
                        case Compass.North:
                            cell = cell.North; break;
                        case Compass.East:
                            cell = cell.East; break;
                        case Compass.South:
                            cell = cell.South; break;
                        case Compass.West:
                            cell = cell.West; break;
                    }
                    if (cell == null)
                        return acc;
                    acc = trip(cell, acc);
                }
            }

            public Cell<T> North
            {
                get { return view.SafeLookup(X, Y - 1); }
            }

            public Cell<T> South
            {
                get { return view.SafeLookup(X, Y + 1); }
            }

            public Cell<T> East
            {
                get { return view.SafeLookup(X + 1, Y); }
            }

            public Cell<T> West
            {
                get { return view.SafeLookup(X - 1, Y); }
            }

            public IEnumerable<Cell<T>> Neighbours()
            {
                if (North != null)
                    yield return North;
                if (South != null)
                    yield return South;
                if (East != null)
                    yield return East;
                if (West != null)
                    yield return West;
            }
        }

        class BoardView<T> : IEnumerable<Cell<T>>
        {
            public readonly Size Size;
            private readonly int Columns;
            private readonly int Rows;

            private Cell<T>[] history;

            public BoardView(Size size)
            {
                this.Size = size;
                Columns = size.Width;
                Rows = size.Height;
                this.history = new Cell<T>[Columns * Rows];
                for (int y = 0; y < Rows; y++)
                {
                    for (int x = 0; x < Rows; x++)
                        history[x + y * Columns] = new Cell<T>(this, x, y);
                }
            }

            public T this[int x, int y]
            {
                get { return history[x + y * Columns].Data; }
                set { history[x + y * Columns].Data = value; }
            }

            public T this[Point p]
            {
                get { return history[SafeCalc(p.X, p.Y, true)].Data; }
                set { this.history[SafeCalc(p.X, p.Y, true)].Data = value; }
            }

            private int SafeCalc(int x, int y, bool throwIfIllegal)
            {
                if (x < 0 || y < 0 || x >= Columns || y >= Rows)
                {
                    if (throwIfIllegal)
                        throw new ArgumentOutOfRangeException("[" + x + "," + y + "]");
                    else
                        return -1;
                }
                return x + y * Columns;
            }

            public void Set(T data)
            {
                foreach (var cell in this.history)
                    cell.Data = data;
            }

            public Cell<T> SafeLookup(int x, int y)
            {
                int index = SafeCalc(x, y, false);
                if (index < 0)
                    return null;
                return history[index];
            }

            #region IEnumerable<Cell<T>> Members

            public IEnumerator<Cell<T>> GetEnumerator()
            {
                foreach (var cell in this.history)
                    yield return cell;
            }

            System.Collections.IEnumerator System.Collections.IEnumerable.GetEnumerator()
            {
                return this.GetEnumerator();
            }

            public BoardView<U> Transform<U>(Func<T, U> transform)
            {
                var result = new BoardView<U>(new Size(Columns, Rows));
                for (int y = 0; y < Rows; y++)
                {
                    for (int x = 0; x < Columns; x++)
                    {
                        result[x, y] = transform(this[x, y]);
                    }
                }
                return result;
            }

            public void WriteAsGrid(TextWriter w)
            {
                WriteAsGrid(w, "{0}");
            }

            public void WriteAsGrid(TextWriter w, string format)
            {
                WriteAsGrid(w, x => string.Format(format, x.Data));
            }

            public void WriteAsGrid(TextWriter w, Func<Cell<T>, string> perCell)
            {
                for (int y = 0; y < Rows; y++)
                {
                    for (int x = 0; x < Columns; x++)
                    {
                        if (x != 0)
                            w.Write(",");
                        w.Write(perCell(this.SafeLookup(x, y)));
                    }
                    w.WriteLine();
                }
            }

            #endregion
        }

        public class Rand
        {
            Random r;

            public Rand()
            {
                var rand = System.Security.Cryptography.RandomNumberGenerator.Create();
                byte[] b = new byte[4];
                rand.GetBytes(b);
                r = new Random(BitConverter.ToInt32(b, 0));
            }

            public int Next(int maxValue)
            {
                return r.Next(maxValue);
            }

            public double NextDouble(double maxValue)
            {
                return r.NextDouble() * maxValue;
            }

            public T Pick<T>(IEnumerable<T> things)
            {
                return things.ElementAt(Next(things.Count()));
            }

            public T PickBias<T>(Func<T, double> bias, IEnumerable<T> things)
            {
                double d = NextDouble(things.Sum(x => bias(x)));
                foreach (var x in things)
                {
                    if (d < bias(x))
                        return x;
                    d -= bias(x);
                }
                throw new InvalidOperationException("fell off the end!");
            }
        }
        #endregion
    }

    public static class Extensions
    {
        public static bool IsIn(this Point p, Size size)
        {
            return p.X >= 0 && p.Y >= 0 && p.X < size.Width && p.Y < size.Height;
        }

        public static bool IsLegal(this Ship ship,
            IEnumerable<Ship> ships,
            Size board,
            Point location,
            ShipOrientation direction)
        {
            var temp = new Ship(ship.Length);
            temp.Place(location, direction);
            if (!temp.GetAllLocations().All(p => p.IsIn(board)))
                return false;
            return ships.Where(s => s.IsPlaced).All(s => !s.ConflictsWith(temp));
        }

        public static bool IsTouching(this Point a, Point b)
        {
            return (a.X == b.X - 1 || a.X == b.X + 1) &&
                (a.Y == b.Y - 1 || a.Y == b.Y + 1);
        }

        public static bool IsTouching(this Ship ship,
            IEnumerable<Ship> ships,
            Point location,
            ShipOrientation direction)
        {
            var temp = new Ship(ship.Length);
            temp.Place(location, direction);
            var occupied = new HashSet<Point>(ships
                .Where(s => s.IsPlaced)
                .SelectMany(s => s.GetAllLocations()));
            if (temp.GetAllLocations().Any(p => occupied.Any(b => b.IsTouching(p))))
                return true;
            return false;
        }

        public static ReadOnlyCollection<Ship> MakeShips(params int[] lengths)
        {
            return new System.Collections.ObjectModel.ReadOnlyCollection<Ship>(
                lengths.Select(l => new Ship(l)).ToList());
        }

        public static IEnumerable<T> Shuffle<T>(this IEnumerable<T> source, Battleship.ShuggyCoUk.Simple.Rand rand)
        {
            T[] elements = source.ToArray();
            // Note i > 0 to avoid final pointless iteration
            for (int i = elements.Length - 1; i > 0; i--)
            {
                // Swap element "i" with a random earlier element it (or itself)
                int swapIndex = rand.Next(i + 1);
                T tmp = elements[i];
                elements[i] = elements[swapIndex];
                elements[swapIndex] = tmp;
            }
            // Lazily yield (avoiding aliasing issues etc)
            foreach (T element in elements)
            {
                yield return element;
            }
        }

        public static T RandomOrDefault<T>(this IEnumerable<T> things, Battleship.ShuggyCoUk.Simple.Rand rand)
        {
            int count = things.Count();
            if (count == 0)
                return default(T);
            return things.ElementAt(rand.Next(count));
        }
    }

}

你写的:

任何违反比赛精神的行为都将被取消比赛资格。 干扰对手是违反比赛精神的。

请定义一下“违反比赛精神”和“干扰对手”。

此外,为了简化,我建议你:

禁止在对手的CPU插槽期间使用CPU。 不允许线程并行,而是在单个线程上提供更多的CPU秒。这将简化AI编程,并且不会伤害任何CPU/内存受限的人。

PS -这里有一个CS博士后的问题:这个游戏是可解决的吗(也就是说,是否有一个唯一的最佳策略?)是的,棋盘的大小和步骤数使得minimax等是强制性的,但我仍然想知道……它远没有围棋和国际象棋复杂。

这是一个供人们玩的对手:

http://natekohl.net/files/FarnsworthOpponent.cs

与其使用固定的几何启发策略,我认为尝试估计任何特定的未探索空间拥有一艘船的潜在概率会很有趣。

为了做到这一点,你需要探索所有符合你当前世界观的船的可能配置,然后基于这些配置计算概率。你可以把它想象成探索一棵树:

扩大可能的战列舰国家http://natekohl.net/media/battleship-tree.png

在考虑了所有与你所了解的世界相冲突的树叶后(游戏邦注:例如,船只不能重叠,所有被击中的方块都必须是船只等),你可以计算船只在每个未探索位置出现的频率,从而估算船只位于那里的可能性。

这可以可视化为热图,其中热点更有可能包含船只:

每个未开发位置的概率热图http://natekohl.net/media/battleship-probs.png

我喜欢这个战列舰比赛的一个原因是上面的树几乎小到可以强制使用这种算法。如果这5艘船每艘都有150个可能的位置,那就是1505 = 750亿种可能性。这个数字只会越来越小,特别是如果你可以排除整艘船。

我上面链接的对手并没有探索整棵树;750亿美元仍然太大,无法在一秒钟内进入。不过,在一些启发式的帮助下,它确实试图估计这些概率。