challenge マルバツゲーム

マルバツゲームは3×3の格子に交互に○と×を書き込み、先に縦・横・斜めに記号をそろえたほうが勝ちというおなじみのゲームです。

「毎ターン乱数を使って手を決めるランダムプレイヤー同士を対戦させる」というのが今回のお題です。 1万回対戦させ、勝ち・負け・引き分けの数を表示してください。 そして先手が有利であることを確かめてください。

良い手を思考するプレイヤーについては別のお題にしようと思っています。 プレイヤーを簡単に差し換えることができる設計を目指してください。

Posted feedbacks - C++

○×ゲームなのに視覚的なものはほとんど考慮してないので恐縮ですが...

ちなみに、100万回勝負させたら

player 1 won : 3595448(0.359545)
player 2 won : 2882753(0.288275)
draw : 3521799(0.35218)

だそうです。
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#include <algorithm>
#include <iostream>
#include <map>
#include <ctime>

class board
{
  int cell[3*3];

  public:
  board() { reset(); }
  void reset() { std::fill_n(cell, 3*3, 0); }

  int& operator()(int x, int y)
  { return cell[x+3*y]; }
  const int& operator()(int x, int y) const
  { return cell[x+3*y]; }
};
std::ostream& operator<<(std::ostream& os, const board& b)
{
  for ( int y = 0; y < 3; ++y ) {
    y != 0 && os << "-+-+-\n";
    os << b(0,y) << "|" << b(1,y) << "|" << b(2,y) << "\n";
  }
  return os;
}


class player
{
  static int player_id_;
  int id_;

  protected:
  player() : id_(++player_id_) {}
  virtual ~player();

  public:
  int id()const { return id_; }

  void operator()(board& b) const
  { next(b); }


  private:
  virtual void
    next(board& b)
  const = 0;
};
int player::player_id_ = 0;
player::~player() {}

class rand_player
: public player
{
  void next(board& b) const;
};
void
rand_player::next(board& b)
  const
{
  while (1) {
    int x = std::rand() % 3;
    int y = std::rand() % 3;
    if ( b(x,y) == 0 ) {
      b(x,y) = id();
      break;
    }
  }
}

struct board_checker
{
  int operator()(board& b) const;
};

int
board_checker::operator()(board& b)
  const
{
  bool draw=true;
  for (int x = 0; draw && x < 3; ++x )
    for (int y = 0; draw && y < 3; ++y )
      draw = b(x,y) != 0;
  if ( draw )
    return -1;
  
  if ( int id = b(1,1) )
    if ((b(0,0) == id && b(2,2) == id ) ||
        (b(0,2) == id && b(2,0) == id) ||
        (b(0,1) == id && b(2,1) == id) ||
        (b(1,0) == id && b(1,2) == id) )
      return id;
  if ( int id = b(0,0) )
    if ((b(0,1) == id && b(0,2) == id) ||
        (b(1,0) == id && b(2,0) == id) )
      return id;
  if ( int id = b(2,2) )
    if ((b(1,2) == id && b(0,2) == id) ||
        (b(2,1) == id && b(2,0) == id) )
      return id;

  // not finish
  return 0;
}

int main()
{
  std::srand(std::time(0));
  rand_player p1, p2;
  player *p[] = { &p1, &p2 };
  board b;
  board_checker bc;
  std::map<int, unsigned int> st;
  const std::size_t max = 10000
  for ( std::size_t i = 0; i < max; ++i ) {
    b.reset();
    int count = 0;
    while ( 1 ) {
      (*p[count++ % 2])(b);
//      std::cout << " i = " << i << " step = " << count << "\n" << b;
      if ( count >= 4 )
        if ( int result = bc(b) ) {
          st[result]++;
          break;
        }
    }
  }

  std::cout << "player " << p1.id() << " won : " << st[p1.id()]
    << "(" << st[p1.id()]/static_cast<double>(max) << ")\n";
  std::cout << "player " << p2.id() << " won : " << st[p2.id()]
    << "(" << st[p2.id()]/static_cast<double>(max) << ")\n";
  std::cout << "draw : " << st[-1]
    << "(" << st[-1]/static_cast<double>(max) << ")\n";


  return 0;
}

こんにちは。 お手軽実装のはずが、コンパイラにおこられて、ソース分割する羽目になりました。 無駄に拡張性を重視したもので、長くなり、冗長になりました。orz でもその代わりに、長さ3以外もいけます。 あぁ、バグ取りはしましたけど、保障はしません。

result: Player1[5853] Player2[2865] Draw[1282]

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//////////////////////Main.cpp////////////////////////////
#include <stdlib.h>
#include <time.h>
#include <stdio.h>

#include "MBGame.h"
#include "Player.h"

void ShowVisual(MBGame& in){
    Mark V;
        for(unsigned int i=0;i<in.Length();i++){
            for(unsigned int j=0;j<in.Length();j++){
                V=in.At(j,i);
                if(V == None) printf("+");
                if(V == Maru) printf("O");
                if(V == Batu) printf("X");
            }
            printf("\n");
        }
}

int main(){
    unsigned int Len = 3;
    MBGame mbg(Len);
    Player A,B;
    Mark F;
    int P1=0,P2=0,D=0;
    //srand(time(NULL));
    mbg.SetPlayer(A,B);
    for(int c=0;c<100;c++){
        mbg.Init(Len);
        F = mbg.Play();
        if(F == None) {printf("[%d] Draw!!\n",c);D++;}
        if(F == Maru) {printf("[%d] O Win!\n",c);P1++;}
        if(F == Batu) {printf("[%d] X Win!\n",c);P2++;}
        ShowVisual(mbg);
        printf("\n");
    }
    printf("Player1[%d] Player2[%d] Draw[%d]",P1,P2,D);
    return 0;
}
///////////////////////////MBGame.h////////////////////
#pragma once
#include <vector>

#include "Mark.h"
#include "Player.h"
class Player;
class MBGame{
    Player *A_,*B_;
    unsigned int Length_;
    std::vector<Mark> Board_;
    bool IsLock_;

public:
    MBGame(unsigned int Len=3);
    void Init(unsigned int Len=3);
    unsigned int Length();

    Mark Play();
    Mark IsEnd();
    bool IsEmpty(unsigned int x,unsigned int y);
    bool HasEmpty();
    bool SetStone(unsigned int x,unsigned int y,Mark M);
    bool IsLocked();
    Mark At(unsigned int x,unsigned int y);
    void SetPlayer(Player& A,Player& B);
protected:
    void Lock();
    void UnLock();
};
///////////////////////////////MBGame.cpp/////////////
#include <algorithm>
#include "MBGame.h"

MBGame::MBGame(unsigned int Len){
    A_=NULL;
    B_=NULL;
    Init(Len);
}

void MBGame::Init(unsigned int Len){
    if(Len == 0) Len = 3;
    Length_ = Len;
    Board_.resize(Len*Len);
    std::fill(Board_.begin(),Board_.end(),None);
}
bool MBGame::SetStone(unsigned int x,unsigned int y,Mark M){
    if(IsLocked()) return false;
    if(!IsEmpty(x,y)) return false;
    Board_[x+ (y*Length())] = M;
    Lock();
    return true;
}
void MBGame::SetPlayer(Player& A,Player& B){
    A_ = &A;
    B_ = &B;
    A_->SetMark(Maru);
    B_->SetMark(Batu);
}
/////////////////////////////////////////////////////////////////
Mark MBGame::Play(){
    Mark f;
    unsigned int c=0;
    while(HasEmpty()){
        if((c%2) == 0 ){
            UnLock();
            A_->Play(*this);
        }else{
            UnLock();
            B_->Play(*this);
        }
        f=IsEnd();
        if(f!=None) return f;
        c++;
    }
    return None;
}

Mark MBGame::IsEnd(){
    Mark F=None;
    unsigned int i=0,j=0;
    for(i=0;i<Length();i++){//横の判定
        F = At(0,i);
        if(F == None) continue;
        for(j=0;j<Length();j++){
            if(F != At(j,i)) break;
        }
        if(j==Length()) return F;
    }
    
    for(j=0;j<Length();j++){//縦の判定
        F = At(j,0);
        if(F == None) continue;
        for(i=0;i<Length();i++){
            if(F != At(j,i)) break;
        }
        if(i==Length()) return F;
    }
    
    F = At(0,0);
    for(i=0;i<Length();i++){//斜めの判定
        if(F == None) break;
        if(F != At(i,i)) break;
    }
    if(i == Length()) return F;

    F = At((Length()-1),0);
    for(i=0;i<Length() ;i++){//斜めの判定2
        if(F == None) break;
        if(F != At((Length()-1) - i,i)) break;
    }
    if(i == Length()) return F;
    return None;
}
/////////////////////////////////////////////////////////////////
bool MBGame::IsEmpty(unsigned int x,unsigned int y){
    return At(x,y) == None;
}

bool MBGame::HasEmpty(){
    for(unsigned int i=0;i<Length();i++){
        for(unsigned int j=0;j<Length();j++){
            if(IsEmpty(j,i)) return true;
        }
    }
    return false;
}
/////////////////////////////////////////////////////////////////
Mark MBGame::At(unsigned int x,unsigned int y){
    return Board_[y*Length() + x];
}
unsigned int MBGame::Length(){
    return Length_;
}
/////////////////////////////////////////////////////////////////
bool MBGame::IsLocked(){
    return IsLock_;
}
void MBGame::Lock(){
    IsLock_ = true;
}
void MBGame::UnLock(){
    IsLock_ = false;
}
////////////////////////////////////////////////////////////////

/////////////////////////Player.h//////////////////////////
#pragma once;
#include "MBGame.h"

class MBGame;
class Player{
    Mark Mark_;
public:
    void SetMark(Mark in);
    virtual void Play(MBGame& in);
};
////////////////////////Player.cpp////////////////////////
#include "Player.h"
void Player::SetMark(Mark in){
    Mark_ = in;
}
void Player::Play(MBGame &in){
        unsigned int x,y;
        do{
            x=(rand()%in.Length());
            y=(rand()%in.Length());
            //if(!in.IsEmpty(x,y)) continue;
        }while(!in.SetStone(x,y,Mark_));
}
////////////////////////////Mark.h//////////////////////////
#pragma once;
enum Mark{
        Batu =2,
        None =0,
        Maru =1,
};
//////////////////////////////////////////////////////////////

作ったので投稿してみます
実行結果
Player1 : 585272
Player2 : 288196
Draw : 126532
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#include <iostream>
#include <ctime>

//#define DEBUG

const int CLEAR_LINE = 3;
const int HEIGHT = 3;
const int WIDTH = 3;
const int TEST = 1000000;

enum FIELD_STATE
{
    NON_PLAYER,
    PLAYER1,
    PLAYER2
};

enum RESULT
{
    NEXT,
    PLAYER1_WIN,
    PLAYER2_WIN,
    DRAW
};

class Field
{
private:
    FIELD_STATE m_field[WIDTH][HEIGHT];
public:
    Field() { }
    ~Field() { }

    void init()
    {
        for(int i=0; i<WIDTH; i++)
        {
            for(int j=0; j<HEIGHT; j++)
            {
                m_field[i][j] = NON_PLAYER;
            }
        }
    }

    void print()
    {
        for(int i=0; i<HEIGHT; i++)
        {
            for(int j=0; j<WIDTH; j++)
            {
                switch(m_field[i][j])
                {
                case PLAYER1: std::cout << "○" << std::flush; break;
                case PLAYER2: std::cout << "×" << std::flush; break;
                default : std::cout << " " << std::flush; break;
                }
                if(j != WIDTH-1) std::cout << "|" << std::flush;
            }
            if(i != HEIGHT-1) std::cout << "\n----------" << std::endl;
        }
    }

    void setField(int x, int y, FIELD_STATE in_PlayerType)
    {
        m_field[x][y] = in_PlayerType;
    }

    FIELD_STATE getField(int in_height, int in_width)
    {
        return m_field[in_height][in_width];
    }
};

class Player
{
private:
    FIELD_STATE m_player;
public:
    Player() { }
    virtual ~Player() { }

    Player(FIELD_STATE in_player)
    {
        m_player = in_player;
    }

    void setPlayer(FIELD_STATE in_player)
    {
        m_player = in_player;
    }

    FIELD_STATE getPlayer()
    {
        return m_player;
    }

    virtual void turn(Field* in_field)
    {
        int x;
        int y;

        while(true)
        {
            x = rand() % WIDTH;
            y = rand() % HEIGHT;
            if(in_field->getField(x, y) == NON_PLAYER)
            {
                in_field->setField(x, y, m_player);
                return;
            }
        }
    }
};

class Judg
{
public:
    Judg() { }
    virtual ~Judg() { }

    RESULT check(Field* in_field)
    {
        int player1 = 0;
        int player2 = 0;

        // 横
        for(int i=0; i<WIDTH; i++)
        {
            player1 = 0;
            player2 = 0;
            for(int j=0; j<HEIGHT; j++)
            {
                switch(in_field->getField(i, j))
                {
                case NON_PLAYER: break;
                case PLAYER1: player1++; break;
                case PLAYER2: player2++; break;
                }
                if(player1+player2 != j+1) break;
            }
            if(player1 == CLEAR_LINE) return PLAYER1_WIN;
            if(player2 == CLEAR_LINE) return PLAYER2_WIN;
        }

        // 縦
        for(int i=0; i<HEIGHT; i++)
        {
            player1 = 0;
            player2 = 0;
            for(int j=0; j<WIDTH; j++)
            {
                switch(in_field->getField(j, i))
                {
                case NON_PLAYER: break;
                case PLAYER1: player1++; break;
                case PLAYER2: player2++; break;
                }
                if(player1+player2 != j+1) break;
            }
            if(player1 == CLEAR_LINE) return PLAYER1_WIN;
            if(player2 == CLEAR_LINE) return PLAYER2_WIN;
        }

        // 斜め
        if(WIDTH != HEIGHT) return NEXT;
        player1 = 0;
        player2 = 0;
        for(int i=0, j=0; i<WIDTH && j<HEIGHT; i++, j++)
        {
            switch(in_field->getField(i, j))
            {
            case NON_PLAYER: break;
            case PLAYER1: player1++; break;
            case PLAYER2: player2++; break;
            }
            if(player1+player2 != j+1) break;
            else if(player1 == CLEAR_LINE) return PLAYER1_WIN;
            else if(player2 == CLEAR_LINE) return PLAYER2_WIN;
        }
        player1 = 0;
        player2 = 0;
        for(int i=WIDTH-1, j=0; i>=0 && j<HEIGHT; i--, j++)
        {
            switch(in_field->getField(i, j))
            {
            case NON_PLAYER: break;
            case PLAYER1: player1++; break;
            case PLAYER2: player2++; break;
            }
            if(player1+player2 != j+1) break;
            else if(player1 == CLEAR_LINE) return PLAYER1_WIN;
            else if(player2 == CLEAR_LINE) return PLAYER2_WIN;
        }

        for(int i=0; i<WIDTH; i++)
        {
            for(int j=0; j<HEIGHT; j++)
            {
                if(in_field->getField(i, j) == NON_PLAYER)
                {
                    return NEXT;
                }
            }
        }
        return DRAW;
    }
};

int main()
{
    Field field;
    Judg judg;
    RESULT state;
    Player player[2];
    int winner[3] = {0, 0, 0};
    int i;
    bool game;

    srand( static_cast<unsigned int>(time(NULL)) );
    player[0].setPlayer(PLAYER1);
    player[1].setPlayer(PLAYER2);
    for(int s=0; s<TEST; s++)
    {
        i = 0;
        game = true;
        field.init();

        while(game)
        {
            player[i].turn(&field);
        #ifdef DEBUG
            std::cout << std::endl;
            field.print();
            std::cout << std::endl;
        #endif

            state = judg.check(&field);
            switch(state)
            {
            case NEXT: break;
            case PLAYER1_WIN:
            case PLAYER2_WIN:
        #ifdef DEBUG
                std::cout << "Player " << (i+1) << " Won" << std::endl;
        #endif
                winner[i]++;
                game = false;
                break;
            case DRAW:
        #ifdef DEBUG
                std::cout << "Draw Game" << std::endl;
        #endif
                winner[2]++;
                game = false;
                break;
            }
            i = i ^ 0x00000001;
        }
    }
    std::cout << "Result" << std::endl;
    std::cout << "Player1    :" << winner[0] << std::endl;
    std::cout << "Player2    :" << winner[1] << std::endl;
    std::cout << "Draw    :" << winner[2] << std::endl;
    return EXIT_SUCCESS;
}

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