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お昼休みにさくっとやってみました。

Playerクラスを継承したクラスをつくることでPlayerを差し替えることができます。

10000回を3回ほどやってみて

player1 won:    5190
player2 won:    2410
draw :  2400

player1 won:    5190
player2 won:    2411
draw :  2399

player1 won:    5152
player2 won:    2383
draw :  2465

というかんじでした。

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import java.util.Random

class TicTacToe(val size:int, val players:List[Player]) {
  protected val field = new Array[Array[char]](size,size)
  val len = size*size
  val lines = _stline((v,v2) => (v,v2))++_stline((v,v2) => (v2,v))++
              List(((size-1).until(-1,-1)).map(v=>(v,v))) ++
              List((0 until size).map(v=>(v,v)))

  def _stline(f:(int,int) => Pair[int,int]) = 
    (0 until size).map(v => (0 until size).map(v2 => f(v,v2)))

  override def toString = {
    val sep = List.make(size*4+1, "-").mkString("\n", "", "\n")
    field.map{_.mkString("| ", " | ", " |")}.mkString(sep,sep,sep)
  }

  def start:Option[Player] = {
    for(val i<-(0 until size); val j<-(0 until size)) { field(i)(j) = ' '}
    Stream.const(players).flatMap(v=>v).take(len).find {player => 
      val p = player.put(this)
      if(!available_?(p)) error("Oops!")
      field(p._1)(p._2) = player.mark
      judge
    }
  }

  def judge = lines.exists(l => l.forall(!available_?(_)) && 
                    l.forall(v => field(l(0)._1)(l(0)._2) == field(v._1)(v._2)))

  def available_?(pos:Pair[int,int]) = field(pos._1)(pos._2) equals ' '
}

abstract class Player{
  val mark:char
  val name:String
  def put(ttt:TicTacToe):Pair[int,int]
}

class RandomPlayer(override val mark:char, override val name:String) extends Player{
  val rnd = new Random
  override def put(ttt:TicTacToe) = {
    def _n = (rnd.nextInt(ttt.size), rnd.nextInt(ttt.size))
    def next(v:Pair[int,int]):Stream[Pair[int,int]] = Stream.cons(v, next(_n))
    next(_n).find(ttt.available_?).get
  }
}

object Main extends Application{
  val ttt = new TicTacToe(3, List(new RandomPlayer('○', "1"), new RandomPlayer('×', "2")))
  val result = Array.make(3,0)
  (1 to 10000) foreach { i => 
    ttt.start match {
      case Some(p) if p.name equals "1" => result(0) += 1
      case Some(p) if p.name equals "2" => result(1) += 1
      case _ => result(2) += 1
    }
  }
  println("player1 won:\t"+result(0)+"\n"+"player2 won:\t"+result(1)+"\n"+"draw :\t"+result(2))
}

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