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

我现在没有时间写一个完整的算法,但我有一个想法:如果你的对手随机放置船只,放置概率不会是一个以(5.5,5.5)为中心的简单分布吗?例如,战列舰(5个单位长)在x维度的放置可能性如下:

x    1 2 3 4 5  6  7 8 9 10
P(x) 2 4 6 8 10 10 8 6 4 2

同样的计算也适用于y。其他船只的分布不会那么陡峭,但你最好的猜测仍然是中心。在此之后,数学方法将慢慢地向中心外辐射对角线(可能是平均船的长度,17/5)。例:

...........
....x.x....
.....x.....
....x.x....
...........

显然,这个想法需要添加一些随机性,但我认为从纯粹的数学角度来看,这是可行的。

其他回答

事实上,这个解决方案在ubuntu 9.10 linux的monodevelop中无需修改就可以打开和运行

我的电脑现在正在戴尔维修,但这是我上周在哪里:

namespace Battleship
{
    using System;
    using System.Collections.ObjectModel;
    using System.Drawing;
    using System.Collections.Generic;
    using System.Linq;

    public class BSKiller4 : OpponentExtended, IBattleshipOpponent
    {
        public string Name { get { return "BSKiller4"; } }
        public Version Version { get { return this.version; } }

        public bool showBoard = false;

        Random rand = new Random();
        Version version = new Version(0, 4);
        Size gameSize;

        List<Point> nextShots;
        Queue<Point> scanShots;

        char[,] board;

        private void printBoard()
        {
            Console.WriteLine();
            for (int y = 0; y < this.gameSize.Height; y++)
            {
                for (int x = 0; x < this.gameSize.Width; x++)
                {
                    Console.Write(this.board[x, y]);
                }
                Console.WriteLine();
            }
            Console.ReadKey();
        }

        public void NewGame(Size size, TimeSpan timeSpan)
        {
            this.gameSize = size;
            board = new char[size.Width, size.Height];
            this.nextShots = new List<Point>();
            this.scanShots = new Queue<Point>();
            fillScanShots();
            initializeBoard();
        }

        private void initializeBoard()
        {
            for (int y = 0; y < this.gameSize.Height; y++)
            {
                for (int x = 0; x < this.gameSize.Width; x++)
                {
                    this.board[x, y] = 'O';
                }
            }
        }

        private void fillScanShots()
        {
            int x, y;
            int num = gameSize.Width * gameSize.Height;
            for (int j = 0; j < 3; j++)
            {
                for (int i = j; i < num; i += 3)
                {
                    x = i % gameSize.Width;
                    y = i / gameSize.Height;
                    scanShots.Enqueue(new Point(x, y));
                }
            }
        }

        public void PlaceShips(ReadOnlyCollection<Ship> ships)
        {
            foreach (Ship s in ships)
            {
                s.Place(new Point(
                        rand.Next(this.gameSize.Width),
                        rand.Next(this.gameSize.Height)),
                        (ShipOrientation)rand.Next(2));
            }
        }

        public Point GetShot()
        {
            if (showBoard) printBoard();
            Point shot;

            shot = findShotRun();
            if (shot.X != -1)
            {
                return shot;
            }

            if (this.nextShots.Count > 0)
            {
                shot = this.nextShots[0];
                this.nextShots.RemoveAt(0);
            }
            else
            {
                shot = this.scanShots.Dequeue();
            }

            return shot;
        }

        public void ShotHit(Point shot, bool sunk)
        {
            this.board[shot.X, shot.Y] = 'H';
            if (!sunk)
            {
                addToNextShots(new Point(shot.X - 1, shot.Y));
                addToNextShots(new Point(shot.X, shot.Y + 1));
                addToNextShots(new Point(shot.X + 1, shot.Y));
                addToNextShots(new Point(shot.X, shot.Y - 1));
            }
            else
            {
                this.nextShots.Clear();
            }
        }



        private Point findShotRun()
        {
            int run_forward_horizontal = 0;
            int run_backward_horizontal = 0;
            int run_forward_vertical = 0;
            int run_backward_vertical = 0;

            List<shotPossibilities> possible = new List<shotPossibilities>(5);

            // this only works if width = height for the board;
            for (int y = 0; y < this.gameSize.Height; y++)
            {
                for (int x = 0; x < this.gameSize.Width; x++)
                {
                    // forward horiz
                    if (this.board[x, y] == 'M')
                    {
                        run_forward_horizontal = 0;
                    }
                    else if (this.board[x, y] == 'O')
                    {
                        if (run_forward_horizontal >= 2)
                        {
                            possible.Add(
                                new shotPossibilities(
                                    run_forward_horizontal,
                                    new Point(x, y),
                                    true));
                        }
                        else
                        {
                            run_forward_horizontal = 0;
                        }
                    }
                    else
                    {
                        run_forward_horizontal++;
                    }

                    // forward vertical
                    if (this.board[y, x] == 'M')
                    {
                        run_forward_vertical = 0;
                    }
                    else if (this.board[y, x] == 'O')
                    {
                        if (run_forward_vertical >= 2)
                        {
                            possible.Add(
                                new shotPossibilities(
                                    run_forward_vertical,
                                    new Point(y, x),
                                    false));
                        }
                        else
                        {
                            run_forward_vertical = 0;
                        }
                    }
                    else
                    {
                        run_forward_vertical++;
                    }


                    // backward horiz
                    if (this.board[this.gameSize.Width - x - 1, y] == 'M')
                    {
                        run_backward_horizontal = 0;
                    }
                    else if (this.board[this.gameSize.Width - x - 1, y] == 'O')
                    {
                        if (run_backward_horizontal >= 2)
                        {
                            possible.Add(
                                new shotPossibilities(
                                    run_backward_horizontal,
                                    new Point(this.gameSize.Width - x - 1, y),
                                    true));
                        }
                        else
                        {
                            run_backward_horizontal = 0;
                        }
                    }
                    else
                    {
                        run_backward_horizontal++;
                    }


                    // backward vertical
                    if (this.board[y, this.gameSize.Height - x - 1] == 'M')
                    {
                        run_backward_vertical = 0;
                    }
                    else if (this.board[y, this.gameSize.Height - x - 1] == 'O')
                    {
                        if (run_backward_vertical >= 2)
                        {
                            possible.Add(
                                new shotPossibilities(
                                    run_backward_vertical,
                                    new Point(y, this.gameSize.Height - x - 1),
                                    false));
                        }
                        else
                        {
                            run_backward_vertical = 0;
                        }
                    }
                    else
                    {
                        run_backward_vertical++;
                    }

                }

                run_forward_horizontal = 0;
                run_backward_horizontal = 0;
                run_forward_vertical = 0;
                run_backward_vertical = 0;
            }
            Point shot;

            if (possible.Count > 0)
            {
                shotPossibilities shotp = possible.OrderByDescending(a => a.run).First();
                //this.nextShots.Clear();
                shot = shotp.shot;
                //if (shotp.isHorizontal)
                //{
                //    this.nextShots.RemoveAll(p => p.X != shot.X);
                //}
                //else
                //{
                //    this.nextShots.RemoveAll(p => p.Y != shot.Y);
                //}
            }
            else
            {
                shot = new Point(-1, -1);
            }

            return shot;
        }

        private void addToNextShots(Point p)
        {
            if (!this.nextShots.Contains(p) &&
                p.X >= 0 &&
                p.X < this.gameSize.Width &&
                p.Y >= 0 &&
                p.Y < this.gameSize.Height)
            {
                if (this.board[p.X, p.Y] == 'O')
                {
                    this.nextShots.Add(p);
                }
            }
        }

        public void GameWon()
        {
            this.GameWins++;
        }

        public void NewMatch(string opponent)
        {
            System.Threading.Thread.Sleep(5);
            this.rand = new Random(System.Environment.TickCount);
        }
        public void OpponentShot(Point shot) { }
        public void ShotMiss(Point shot)
        {
            this.board[shot.X, shot.Y] = 'M';
        }
        public void GameLost()
        {
            if (showBoard) Console.WriteLine("-----Game Over-----");
        }
        public void MatchOver() { }
    }


    public class OpponentExtended
    {
        public int GameWins { get; set; }
        public int MatchWins { get; set; }
        public OpponentExtended() { }
    }

    public class shotPossibilities
    {
        public shotPossibilities(int r, Point s, bool h)
        {
            this.run = r;
            this.shot = s;
            this.isHorizontal = h;
        }
        public int run { get; set; }
        public Point shot { get; set; }
        public bool isHorizontal { get; set; }
    }
}

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));
        }
    }

}

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。

我总是喜欢从中间开始,从那个点螺旋离开,在任何其他点之间留下不超过1个空白,以解释那个该死的子…射击间隔取决于哪艘船被击沉。如果b舰是最后一艘,射击之间只需要留出4个空间来减少浪费