import random
import sys, pygame, configparser, copy, math
from pygame.locals import *

BOARDWIDTH = 8 # Othello is played on an 8x8 uncheckered board. 
BOARDHEIGHT = 8 
WHITE_TILE = 'WHITE_TILE' # The "human" player will use white discs.
BLACK_TILE = 'BLACK_TILE' 
EMPTY_SPACE = 'EMPTY_SPACE'  
#              R    G    B
WHITE = (255, 255, 255)
BLACK = (0,   0,   0)
GREEN = (0, 155,   0)
BRIGHTBLUE = (0,  50, 255)
BROWN = (174,  94,   0)
LIGHTGREY = (211, 211, 211)
DARKGREY = (105, 105, 105)
GRAY = (185, 185, 185)

GRIDLINECOLOR = BLACK
BGCOLOR = GREEN

class Board:
    def __init__(self):
        """ It creates a new board. BOARDWIDTH = BOARDHEIGHT = 8."""
        self.board = []
        for i in range(BOARDWIDTH):
            self.board.append([EMPTY_SPACE] * BOARDHEIGHT)

        self.animation = False
        self.tilesToAnimate = [(None, None)]
        self.start = None, None
 
     def initBoard(self):
        """ It initializes and sets up our board. """

        for x in range(BOARDWIDTH):
            for y in range(BOARDHEIGHT):
                self.board[x][y] = EMPTY_SPACE

        # It adds four starting pieces (two white and two black pieces) on the board's center.
        self.board[3][3] = WHITE_TILE
        self.board[3][4] = BLACK_TILE
        self.board[4][3] = BLACK_TILE
        self.board[4][4] = WHITE_TILE

    def draw(self, game):
        """ It draws our board."""
        for x in range(BOARDWIDTH):
            for y in range(BOARDHEIGHT):
                # If the tile is not one to be animated, we just draw it using the auxiliary drawBox method.
                if (x, y) not in self.tilesToAnimate and (self.board[x][y] == WHITE_TILE or self.board[x][y] == BLACK_TILE):
                    if self.board[x][y] == WHITE_TILE:
                        tileColor = WHITE
                        tileBorder = DARKGREY

                    else:
                        tileColor = BLACK
                        tileBorder = LIGHTGREY

                    self.drawBox(x, y, tileColor, tileBorder, game)
                # If the tile is one to be animated (it is in the "current" play or move), we draw the tile with its opposite color before the animation starts so the user can see more clearly that this one has been flipped.
                elif (x, y) in self.tilesToAnimate and (self.board[x][y] == WHITE_TILE or self.board[x][y] == BLACK_TILE):
                    if self.board[x][y] == WHITE_TILE:
                        tileColor = BLACK
                        tileBorder = LIGHTGREY
                    else:
                        tileColor = WHITE
                        tileBorder = DARKGREY

                    self.drawBox(x, y, tileColor, tileBorder, game)

        if self.animation == True: # This flag indicates that the animation should take place. 
            self.drawAnimation(game) 
            self.animation = False
            self.tilesToAnimate = [(None, None)]

    def drawBox(self, x, y, tileColor, tileBorder, game, animation=False):
        centerx, centery = game.translateBoardToPixelCoord(x, y) # It translates from board (x, y) to pixel coordinates (centerx, centery).

        # If there is no animation going on, we just draw two circles, so the tile (black/white) is drawn with a border (light grey/dark grey).
        if not animation:
            pygame.draw.circle(game.screen, tileBorder, (centerx, centery), int(game.SQUARESIZE / 2) - 1)
            pygame.draw.circle(game.screen, tileColor, (centerx, centery), int(game.SQUARESIZE / 2) - 4)

        else: # It implements the flipping of the disk/tile (coin).
            coin = pygame.Surface( (int(game.SQUARESIZE), int(game.SQUARESIZE)), pygame.SRCALPHA)
            pygame.draw.circle(coin, tileBorder, (int(game.SQUARESIZE/2), int(game.SQUARESIZE/2)), int(game.SQUARESIZE / 2) - 1)
            pygame.draw.circle(coin, tileColor, (int(game.SQUARESIZE/2), int(game.SQUARESIZE/2)), int(game.SQUARESIZE / 2) - 4)
            coin_rect = coin.get_rect(center=(centerx, centery))
            angle = 0
            for angle in range(0, 360, 18):
                new_width = round( math.sin(angle) * coin_rect.width) # It takes values in the interval [-coin_rect.width, coin_rect.width]
                rot_coin = pygame.transform.flip(coin, True, False) # It flips the coin ...
                rot_coin = pygame.transform.scale(rot_coin, (abs(new_width), coin_rect.height)) # ... and it also resizes the coin (more specifically its width) to create the desired animation.
                game.screen.blit(rot_coin, rot_coin.get_rect(center=coin_rect.center))
                game.fpsClock.tick(game.fps*3)
                pygame.display.flip()
            # We finish the animation by drawing the tile's two circles.
            pygame.draw.circle(game.screen, tileBorder,
                               (centerx, centery), int(game.SQUARESIZE / 2) - 1)
            pygame.draw.circle(game.screen, tileColor,
                               (centerx, centery), int(game.SQUARESIZE / 2) - 4)

    def isValidMove(self, player, xstart, ystart):
    """ It returns all the tiles to be flipped if (xstart, ystart) is a valid move for "player". Otherwise, it returns False (it means that there are no tiles to flip)."""
        if xstart == None or ystart == None: 
            return False

        if self.board[xstart][ystart] != EMPTY_SPACE or not Board.isOnBoard(xstart, ystart):
        # The position should be empty and it should be a valid position on the board (0..7 x 0..7)
            return False

        if player == 'player':
            tile = WHITE_TILE
            otherTile = BLACK_TILE
        else:
            tile = BLACK_TILE
            otherTile = WHITE_TILE

        # It sets the tile temporarily on the board.
        self.board[xstart][ystart] = tile

        tilesToFlip = []
        # Let's check or iterate on each of the eight directions.
        for xdirection, ydirection in [[0, 1], [1, 1], [1, 0], [1, -1], [0, -1], [-1, -1], [-1, 0], [-1, 1]]:
            x, y = xstart, ystart
            x += xdirection
            y += ydirection
            if Board.isOnBoard(x, y) and self.board[x][y] == otherTile:
                # If the piece (x, y) belongs to the other player,
                x += xdirection # we continue searching in the same direction.
                y += ydirection
                if not Board.isOnBoard(x, y): # We break the loop because the position is not on the board. In other words, we could not find one of the player's tiles. 
                    continue

                while self.board[x][y] == otherTile: # As long as there are opposite player's pieces in this direction (xdirection, ydirection), it could be a valid move.
                    x += xdirection
                    y += ydirection
                    if not Board.isOnBoard(x, y): # It breaks out the while loop, we could not find one of the player's tiles, but a board's edge instead.
                        break 
                if not Board.isOnBoard(x, y): # There are two possible reasons why the while loop was broken. The first one is that we have reached an out-of-limits position.
                    continue
                if self.board[x][y] == tile: # The second possible explanation is that we have found one of the player's pieces. The algorithm goes in the reverse direction until we reach the original position (xstart, ystart) and saves all the tiles on tilesToFlip along the way.
                    while True:
                        x -= xdirection
                        y -= ydirection

                        if x == xstart and y == ystart:
                            break

                        tilesToFlip.append((x, y))

        self.board[xstart][ystart] = EMPTY_SPACE
        if len(tilesToFlip) == 0:  # If no tiles are to be flipped, this move is not valid.
            return False

        return tilesToFlip

    def getValidMoves(self, player):
        """ It returns a list of (x,y) tuples with all valid moves."""
        validMoves = []

        for x in range(BOARDWIDTH):
            for y in range(BOARDHEIGHT):
                if self.isValidMove(player, x, y) != False:
                    validMoves.append((x, y))

        return validMoves

    @staticmethod
    def isOnCorner(x, y):
        """ It returns True if the position (x, y) is in one of the four corners."""
        return (x == 0 and y == 0) or \
            (x == BOARDWIDTH-1 and y == 0) or \
            (x == 0 and y == BOARDHEIGHT-1) or \
            (x == BOARDWIDTH-1 and y == BOARDHEIGHT-1)

    @staticmethod
    def isOnBoard(x, y):
        """ It returns True if the position is on the board."""
        return x >= 0 and x < BOARDWIDTH and y >= 0 and y < BOARDHEIGHT

    def makeMove(self, player, xstart, ystart, animation=True):
        """ It implements the move. It places the tile on the board (xstart, ystart) and flips the corresponding opponent's tiles."""
        tilesToFlip = self.isValidMove(player, xstart, ystart)

        if tilesToFlip == False: # It returns False if this move is an invalid one (there are no tiles to flip).
            return False

        if player == 'player':
            tile = WHITE_TILE
        else:
            tile = BLACK_TILE

        if animation == True: # The user can select whether (s)he wants an animation or not. If (s)he wants an animation, we need to set the "self.animation" flag to True and add the current move (or tile) to the list with the opponent's captured tiles to be flipped.
            self.animation = True
            self.tilesToAnimate = tilesToFlip
            self.tilesToAnimate.append((xstart, ystart))

        # Finally, we make the move and update the board's state. 
        for x, y in self.tilesToAnimate:
            self.board[x][y] = tile

        return True

    def getComputerMove(self):
        # It determines where the computer should move."""

        possibleMoves = self.getValidMoves('computer')
        bestMove = None
        # It goes through all possible moves and saves the best scoring move.
        bestScore = -30

        for x, y in possibleMoves:
            copyBoard = copy.deepcopy(self)
            copyBoard.makeMove('computer', x, y)
            #_, computerScore = copyBoard.getScoreOfBoard() # This is one option. The computer selects the movement that maximizes the number of its pieces.  
            computerScore = copyBoard.getScoreOfBoard2('computer') # We use a heuristic function. It is based on John Fish's Othello.

            if computerScore > bestScore:
                bestMove = [x, y]
                bestScore = computerScore

        return bestMove

    def getScoreOfBoard(self):
        # It calculates the game's score by counting the computer and the player's tiles.
        playerScore = 0
        computerScore = 0

        for x in range(BOARDWIDTH):
            for y in range(BOARDHEIGHT):
                if self.board[x][y] == WHITE_TILE:
                    playerScore += 1
                if self.board[x][y] == BLACK_TILE:
                    computerScore += 1

        return playerScore, computerScore

    def getScoreOfBoard2(self, player):
        # It helps to discern the player's best chance by using a heuristic function. It is based on John Fish's Othello.
        cornerValue = 25
        adjacentValue = 5
        sideValue = 3
        score = 0

        if player == 'computer':
            colour = BLACK_TILE
            opponent = WHITE_TILE
        else:
            colour = WHITE_TILE
            opponent = BLACK_TILE

        for x in range(BOARDWIDTH):
            for y in range(BOARDHEIGHT):
                # Normal tiles are worth one point.
                add = 1
                # Adjacent to corners are worth -5 (if the corner does not belong to the player) or 3 points.
                if (x == 0 and y == 1) or (x == 1 and 0 <= y <= 1):
                    if self.board[0][0] == colour:
                        add = sideValue
                    else:
                        add = -adjacentValue
                elif (x == 0 and y == 6) or (x == 1 and 6 <= y <= 7):
                    if self.board[7][0] == colour:
                        add = sideValue
                    else:
                        add = -adjacentValue
                elif (x == 7 and y == 1) or (x == 6 and 0 <= y <= 1):
                    if self.board[0][7] == colour:
                        add = sideValue
                    else:
                        add = -adjacentValue
                elif (x == 7 and y == 6) or (x == 6 and 6 <= y <= 7):
                    if self.board[7][7] == colour:
                        add = sideValue
                    else:
                        add = -adjacentValue

                # Edge tiles are worth three points.
                elif (x == 0 and 1 < y < 6) or (x == 7 and 1 < y < 6) or (y == 0 and 1 < x < 6) or (y == 7 and 1 < x < 6):
                    add = sideValue

                # Corner tiles are worth 15 points.
                elif Board.isOnCorner(x, y):
                    add = cornerValue
                
                # Finally, it adds or subtracts the tile's value.
                if self.board[x][y] == colour:
                    score += add
                elif self.board[x][y] == opponent:
                    score -= add

        return score

class Game:  # It represents the game itself
    def __init__(self):
        self.running = True # It indicates that the game is still running.
        pygame.init()  # It initializes all imported pygame modules.
        self.fpsClock = pygame.time.Clock() # A pygame.time.Clock object helps us to make sure our program runs at a certain FPS.

[BASIC] # The file consists of sections, each of which contains keys with values. 
WINDOWWIDTH = 1280 
WINDOWHEIGHT = 800 
SQUARESIZE = 70 
FPS = 30
ANIMATION=True

        self.config = configparser.ConfigParser() # We create an instance of the main configuration parser.
        self.config.read("flippy.ini") # We read the configuration file.
        self.fps = int(self.config['BASIC']['FPS']) # This is our frame rate. It is expressed in frames per second or FPS. It is the frequency or rate at which consecutive images or frames are captured or displayed in the game.
        self.animation = self.config.getboolean('BASIC', 'ANIMATION') # The user can select whether (s)he wants an animation or not.
        self.font = pygame.font.Font("resources/CHERI.TTF", 30) # pygame.font.Font allows us to render fonts in the game.
        self.bigfont = pygame.font.Font("resources/CHERL.TTF", 50)
        self.WINDOWWIDTH = int(self.config['BASIC']['WINDOWWIDTH']) 
        self.SQUARESIZE = int(self.config['BASIC']['SQUARESIZE'])
        self.WINDOWHEIGHT = int(self.config['BASIC']['WINDOWHEIGHT'])
        # It sets the display mode and creates an instance of the pygame.Surface class.
        self.screen = pygame.display.set_mode((self.WINDOWWIDTH, self.WINDOWHEIGHT))
        pygame.display.set_caption('Othello') # It sets the current window tittle.

        self.XMARGIN = int( (self.WINDOWWIDTH - BOARDWIDTH * self.SQUARESIZE) / 2) # XMARGIN + BOARDWIDTH * SQUARESIZE + XMARGIN = WINDOWWIDTH. 
        self.YMARGIN = int( (self.WINDOWHEIGHT - (BOARDHEIGHT * self.SQUARESIZE)) / 2)

        self.board = Board() # It is an instance of our Board class.
        self.boardImage = pygame.image.load('boardImage.png') # It sets up an image for the game's board.
        self.boardImage = pygame.transform.smoothscale( self.boardImage, (BOARDWIDTH * self.SQUARESIZE, BOARDHEIGHT * self.SQUARESIZE)) # It uses pygame.transform.smoothscale() to stretch the board image to fit the entire board.
        boardImageRect = self.boardImage.get_rect() # It gets the rectangular area of the surface.
        boardImageRect.topleft = (self.XMARGIN, self.YMARGIN) # It places the board image in the right place. 
        
        self.backgroundImage = pygame.image.load('background.png') # It sets up an image for the game's background.
        self.backgroundImage = pygame.transform.smoothscale(self.backgroundImage, (self.WINDOWWIDTH, self.WINDOWHEIGHT)) # It uses pygame.transform.smoothscale() to stretch the background image to fit the entire window.
        self.backgroundImage.blit(self.boardImage, boardImageRect) # It draws the board image on top of the game's background.
        self.MOUSEBUTTONUP = self.KEYUP = False
        self.turn = 'player'

    def endGame(self):
    """ If the game is over (there are no valid moves left for the current player) returns True, otherwise it returns False.""" 
        return self.board.getValidMoves(self.turn) == []

    def gameLoop(self):
        self.board.initBoard() # It initializes our board.
        while self.running: # It loops while the game is still running.
          self.check_events() # It checks all the events.

          if self.turn == 'player': # If it is the player's turn to move and he clicks the mouse button.
                if self.MOUSEBUTTONUP:
                  movex, movey = self.getSquareClicked(self.pos[0], self.pos[1]) # It returns _the mouse position in board coordinates_ (coordinates referring to the board) or (None, None).

                  # If the move is a valid one, it makes the move and gives the turn to the computer. 
                  if self.board.isValidMove(self.turn, movex, movey):
                      self.board.makeMove(self.turn, movex, movey, self.animation)
                      self.turn = 'computer'

                      if self.endGame(): # It checks if the game is over or not. 
                          self.running = False
                          self.showEndScreen()
                          sys.exit()

          else: # If it is the computer's turn, it decides where the computer should move (getComputerMove), makes the move, and gives the turn to the player.
              x, y = self.board.getComputerMove()
              self.board.makeMove(self.turn, x, y, self.animation)
              self.turn = 'player'

              if self.endGame(): # It checks if the game is over or not.
                  self.running = False
                  self.showEndScreen()
                  sys.exit()

          self.drawGame() # Finally, we draw the current state of the game.
          self.reset_keys()  # We reset the keys as we have already processed the key's associated event.

    def showEndScreen(self):
    """ It shows the end screen."""
        playerScore, computerScore = self.board.getScoreOfBoard()
        if playerScore < computerScore:
            self.showTextScreen("Computer wins!", "Player score: %s. Computer's score: %s" % (playerScore, computerScore))
        elif playerScore == computerScore:
            self.showTextScreen("It is a tie!", "Player's score: %s. Computer's score: %s" % (playerScore, computerScore))
        else:
            self.showTextScreen("Player wins!", "Player's score: %s. Computer's score: %s" % (playerScore, computerScore))

    def showTextScreen(self, text1, text2):
     """ It draws "text1" and "text2" with a big font, the "Press a key to play" text with a normal font, and it waits until the user presses a key."""
        self.screen.fill(BGCOLOR)
        self.drawText(text1, self.bigfont, int(self.WINDOWWIDTH / 7), int(self.WINDOWHEIGHT / 4))
        self.drawText(text2, self.bigfont, int(self.WINDOWWIDTH / 7), int(self.WINDOWHEIGHT / 4) + 100)
        self.drawText('Press a key to go.', self.font, int(self.WINDOWWIDTH / 7), int(self.WINDOWHEIGHT / 4) + 250)
        self.reset_keys()

        while not self.KEYUP:
            self.check_events()
            pygame.display.update()
            self.fpsClock.tick()

    def getSquareClicked(self, mousex, mousey):
    """ It returns the board coordinates where the mouse was clicked or (None, None)."""
        
        for x in range(BOARDWIDTH):
            for y in range(BOARDHEIGHT):
                if mousex > x * self.SQUARESIZE + self.XMARGIN and mousex < (x + 1) * self.SQUARESIZE + self.XMARGIN and mousey > y * self.SQUARESIZE + self.YMARGIN and mousey < (y + 1) * self.SQUARESIZE + self.YMARGIN:
                    return (x, y)

        return (None, None)

    def drawGame(self):
    """ It draws the current state of the game."""
        self.screen.blit(self.backgroundImage, self.backgroundImage.get_rect()) # It fills the screen with the background image so we can start from scratch.

        # It draws the grid lines of the board.
        for x in range(BOARDWIDTH + 1): # It draws the horizontal grid lines.
            startx = (x * self.SQUARESIZE) + self.XMARGIN
            starty = self.YMARGIN
            endx = (x * self.SQUARESIZE) + self.XMARGIN
            endy = self.YMARGIN + (BOARDHEIGHT * self.SQUARESIZE)
            pygame.draw.line(self.screen, GRIDLINECOLOR, (startx, starty), (endx, endy))

        for y in range(BOARDHEIGHT + 1): # It draws the vertical grid lines.
            startx = self.XMARGIN
            starty = (y * self.SQUARESIZE) + self.YMARGIN
            endx = self.XMARGIN + (BOARDWIDTH * self.SQUARESIZE)
            endy = (y * self.SQUARESIZE) + self.YMARGIN
            pygame.draw.line(self.screen, GRIDLINECOLOR, (startx, starty), (endx, endy))

        self.board.draw(self) # It draws the board.
        playerScore, computerScore = self.board.getScoreOfBoard() # It gets the game's score.
        self.drawText("Player's score: %s. Computer's score: %s" % (playerScore, computerScore), self.font, self.XMARGIN, 20) # It draws the game's score.

        pygame.display.update() # It updates the full display surface to the screen.

    def drawText(self, text, font, x, y):
    """ It draws "text" using the font passed as an argument with a shadow."""
        textSurf = font.render(text, True, GRAY)
        textRect = textSurf.get_rect()
        textRect.topleft = (x, y)
        self.screen.blit(textSurf, textRect)
        textSurf = font.render(text, True, WHITE)
        textRect = textSurf.get_rect()
        textRect.topleft = (x-3, y-3)
        self.screen.blit(textSurf, textRect)

    def check_events(self): # Pygame handles all its event messaging through an event queue. This method checks all these events.
        for event in pygame.event.get():  # It gets events from the queue.
            if event.type == pygame.QUIT:
                self.running = False
                sys.exit()
            if event.type == MOUSEBUTTONUP:
                self.MOUSEBUTTONUP = True
                self.pos = event.pos # event.pos is a tuple that stores the position that was clicked.
            if event.type == KEYUP:
                self.KEYUP = True

    def reset_keys(self):  # It reset all the keys.
        self.MOUSEBUTTONUP = False
        self.KEYUP = False

    def translateBoardToPixelCoord(self, x, y):
    """ It translates from board (x, y) to pixel coordinates."""
        return self.XMARGIN + x * self.SQUARESIZE + int(self.SQUARESIZE / 2), self.YMARGIN + y * self.SQUARESIZE + int(self.SQUARESIZE / 2)

if __name__ == '__main__':
    game = Game() # The main function is quite simple. We create an instance of our Game class.
    game.gameLoop()  # We call the game's game_loop function.

    def is_terminal_node(self): # It returns True if the node is terminal.
        return self.winning_move(PLAYER_PIECE) or self.winning_move(AI_PIECE) or self.is_full()

function  minimax(node, depth, maximizingPlayer) # This is extracted from Wikipedia.
    if depth = 0 or node is a terminal node then
        return the heuristic value of node
    if maximizingPlayer then
        value := −∞
        for each child of node do
            value := max(value, minimax(child, depth − 1, FALSE))
            # If the node belongs to the AI player, we take its children's maximum value because he wants to make his final score as high as possible since the AI player always wants to win.
        return value
    else (* minimizing player *)
        value := +∞
        for each child of node do
            value := min(value, minimax(child, depth − 1, TRUE))
        # If the internal node belongs to the human player, we take its children's minimum value because the player wants to make our AI's final score as low as possible.
        return value

(* Initial call *)
alphabeta(origin, depth, −∞, +∞, TRUE)
function alphabeta(node, depth, α, β, maximizingPlayer) # This is extracted from Wikipedia.
    if depth = 0 or node is a terminal node then
        return the heuristic value of node
    if maximizingPlayer then
        value := −∞
        for each child of node do
            value := max(value, alphabeta(child, depth − 1, α, β, FALSE))
            if value ≥ β then # If the maximizingPlayer (AI) finds a value that is higher than its current beta, it can discard the entire subtree because it is sure that his optimal path will not go through this. 
                break (* β cutoff *)
            α := max(α, value) # If the maximizingPlayer (AI) finds a value that is higher than alpha, it updates alpha.
        return value
    else
        value := +∞
        for each child of node do
            value := min(value, alphabeta(child, depth − 1, α, β, TRUE))
            if value ≤ α then # If the miximizingPlayer (player) finds a value that is lower than its current alpha, it can discard the entire subtree because it is sure that his optimal path will not go through this. 
                break (* α cutoff *)
            β := min(β, value)
        return value

def minimax(self, depth, alpha, beta, maximizingPlayer): # This is a method of the Board's class.
    possibleMoves = self.getValidMoves(maximizingPlayer) # It explores the nodes of a game tree. The branching factor of the tree is the number of children of each node (getValidMoves(maximizingPlayer)).
    bestMovex = bestMovey = None

    if depth == 0 or possibleMoves == []: # If depth is zero or it is a terminal node.
          if possibleMoves == []: # Game is over, no more valid moves.
              playerScore, computerScore = self.getScoreOfBoard()
              if computerScore > playerScore:
                  return (None, None, 1000000)
              elif computerScore < playerScore:
                  return (None, None, -1000000)
              else:
                  return (None, None, 0)
          else: # Depth is zero. We return the board's evaluation.
              return (None, None, self.getScoreOfBoard2('computer'))

    if maximizingPlayer == 'computer': # Maximizing player, our AI
          value = -1000000
          for x, y in possibleMoves:
              copyBoard = copy.deepcopy(self)
              copyBoard.makeMove('computer', x, y)
              _, _, new_score = copyBoard.minimax(depth-1, alpha, beta, 'player')
              alpha = max(alpha, new_score) # The maximizing player updates alpha.

              if new_score > value:
                  value = new_score
                  bestMovex = x
                  bestMovey = y

              if alpha >= beta:
                 break

          return bestMovex, bestMovey, value
      else:
          value = 1000000

          for x, y in possibleMoves:
              copyBoard = copy.deepcopy(self)
              copyBoard.makeMove('computer', x, y)
              _, _, new_score = copyBoard.minimax(depth-1, alpha, beta, 'player')
              
              beta = min(beta, value) # The minimizing player updates beta.
              if new_score < value:
                  value = new_score
                  bestMovex = x
                  bestMovey = y

              if alpha >= beta:
                  break

          return bestMovex, bestMovey, value

 def gameLoop(self):
[...]
        while self.running:
            self.check_events()     
            if self.turn == 'player':
            [...]
            else:
                x, y, _ = self.board.minimax(4, -math.inf, math.inf, 'computer')
                self.board.makeMove(self.turn, x, y, self.animation)
                self.turn = 'player'
                [...]