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Code Warrior Class-1

October 9th, 2021

Code Warrior Class 1 Recording

Class Content :-

Obective

  • Creating a bot (a piece of code written by you) to play the given game and try to win against the opponent’s bot.
  • For implementing this, we will be using an algorithm of game theory, Minimax and try to make the code a perfect balance of efficiency and accuracy.

Terminologies

1. Perfect Information, Zero Sum games

  • We are considering two-player, perfect information games
  • The two players take turns and try respectively to maximize and minimize an Evaluation function (also called utility function or heuristic function).
  • The two players are called respectively MAX and MIN. We assume that the MAX player makes the first move.

2. Evaluation function

  • An Evaluation function is used to evaluate the "goodness" of a configuration of the game.
  • Here we'll use a single evaluation function to describe the goodness of a board with respect to BOTH players.
  • That is, f(n) = large positive value means the board associated with node n is good for MAX and bad for MIN.
  • f(n) = large negative value means the board is bad for MAX and good for MIN.
  • f(n) near 0 means the board is a neutral position.
  • f(n) = +infinity means a winning position for MAX.
  • f(n) = -infinity means a winning position for MIN.

Minimax Algorithm

Links which have explained minimax algo:

Additional Resources

Hackerrank problem of Tic Tac Toe. We strongly recommend you to make a Tic Tac Toe bot and submit it there to see how well it works. This will give you a strong idea of how to make an AI bot and will prepare you for developing high level bots.

PseudoCode for Minimax Without Depth

(score, move) maxTurn(game):
    if game is in terminal state:
        return (score(game), none)
 
    max = (none, none)
 
    foreach emptySpace in game:
        game[emptySpace] = X
        currentMove = minTurn(game)
         
        if currentMove.score > max.score:
            max = (currentMove.score, emptySpace)
 
        game[emptySpace] = none   // reverting change
 
    return max
 
(score, move) minTurn(game):
    if game is in terminal state:
        return (score(game), none)
 
    min = (none, none)
 
    foreach emptySpace in game:
        game[emptySpace] = O
        currentMove = maxTurn(game)
         
        if currentMove.score < min.score:
            min = (currentMove.score, emptySpace)
 
        game[emptySpace] = none   // reverting change
 
    return min

PseudoCode for Minimax Algorithm With Depth

(score, move) maxTurn(game, depth):
    if game is in terminal state:
        return (score(game, depth), none)
 
    max = (none, none)
 
    foreach emptySpace in game:
        game[emptySpace] = X
        currentMove = minTurn(game, depth + 1)
         
        if currentMove.score > max.score:
            max = (currentMove.score, emptySpace)
 
        game[emptySpace] = none   // reverting change
 
    return max
 
(score, move) minTurn(game, depth):
    if game is in terminal state:
        return (score(game, depth), none)
 
    min = (none, none)
 
    foreach emptySpace in game:
        game[emptySpace] = O
        currentMove = maxTurn(game, depth + 1)
         
        if currentMove.score < min.score:
            min = (currentMove.score, emptySpace)
 
        game[emptySpace] = none   // reverting change
 
    return min
 
int score(game, depth):
    if X has won:
        return 10 - depth
    else if O has won:
        return depth - 10
 
    return 0

Code for Tic-Tac-Toe

wget this url for raw cpp file.

#include<bits/stdc++.h>
using namespace std;

struct chaal{
int row,column;
};

char b[4][4];
char player,comp;   //player is you and comp is your bot

int evaluate(int depth)  //This function calculates the score of board at given time
{
    int i;
    //Check if there are three consecutive O's or X's in rows
        for(i=1;i<=3;i++)
        {
            if(b[i][1]==b[i][2]&&b[i][2]==b[i][3])
            {
                if(b[i][1]==comp)
                {return 20-depth;}

                else if(b[i][1]==player)
                {return -20+depth;}
            }
        }
    //Check if there are three consecutive O's or X's in Columns
    for(i=1;i<=3;i++)
        {
                if(b[1][i]==b[2][i]&&b[2][i]==b[3][i])
            {
                if(b[1][i]==comp)
                {return 20-depth;}

                else if(b[1][i]==player)
                {return -20+depth;}
            }
        }
    //Check if there are three consecutive O's or X's in Diagonals
    if(b[1][1]==b[2][2]&&b[2][2]==b[3][3])
        {
            if(b[1][1]==comp)
            {return 20-depth;}

            else if(b[1][1]==player)
            {return -20+depth;}
        }

    if(b[1][3]==b[2][2]&&b[2][2]==b[3][1])
        {
            if(b[1][3]==comp)
            {return 20-depth;}

            else if(b[1][3]==player)
            {return -20+depth;}
        }
            return 0;

}
//Checks if there is any move left on the board
bool moveleft()
{
    int i,j;
    for(i=1;i<=3;i++)
        for(j=1;j<=3;j++)
        if(b[i][j]=='_')
        return true;
    return false;
}

int minimax(int depth,bool ismaxturn)
{
    int i,j,val;
    int score=evaluate(depth);
    if(score==20-depth)
        return score;
    if(score==-20+depth)
        return score;
    if(moveleft()==false)
        return 0;
    if(ismaxturn)
    {
        int best=-10000;
        // Iterate over all 9 positions
        for(i=1;i<=3;i++)
        {
            for(j=1;j<=3;j++)
            {
                if(b[i][j]=='_')     //If the position is blank
                {
                    b[i][j]=comp;
                    best=max(minimax(depth+1,!ismaxturn),best); //Updates the best value
                    b[i][j]='_';
                }
                if(alpha>beta) return best;
            }
        }
        return best;
    }
    else
    {
        int best=10000;
        // Iterate over all 9 positions
        for(i=1;i<=3;i++)
        {
            for(j=1;j<=3;j++)
            {
                if(b[i][j]=='_')    //If the position is blank
                {
                    b[i][j]=player; //set step
                    best=min(minimax(depth+1,!ismaxturn),best); //Updates the best value
                    b[i][j]='_';    //Unset step...changes board back to its original form
                }
            }
        }
        return best;
    }
}

//This function returns the best possible move to the main function
chaal findbestmove(int depth,bool ismaxturn)
{
    int i,j,val;
    struct chaal bestmove;
    //Initialization steps
    int bestval=-10000;
    bestmove.row=-1;
    bestmove.column=-1;
    for(i=1;i<=3;i++)
    {
        for(j=1;j<=3;j++)
        {
            if(b[i][j]=='_')
               {
                   b[i][j]=comp;
                   val=minimax(depth,!ismaxturn);
                   // If we found a better move ,just update bestmove with that move
                    if(val>bestval)
                    {
                        bestval=val;
                        bestmove.row=i;
                        bestmove.column=j;
                    }
                    b[i][j]='_';
               }
        }
    }
    return bestmove;
}
void print()
{
    printf("\n\n");
    printf("\t\t\t  %c  |  %c  |  %c  \n", b[1][1],b[1][2], b[1][3]);
    printf("\t\t\t--------------\n");
    printf("\t\t\t  %c  |  %c  |  %c  \n", b[2][1],b[2][2], b[2][3]);
    printf("\t\t\t--------------\n");
    printf("\t\t\t  %c  |  %c  |  %c  \n\n", b[3][1],b[3][2], b[3][3]);


}

int main()
{
    int p,i,j,r,c;
    const int INF=10000000;
    struct chaal cur_move;
    for(i=1;i<=3;i++)
        for(j=1;j<=3;j++)
        b[i][j]='_';
    printf("WELCOME TO THE GAME OF TIC-TAC-TOE\n");
    printf("PRESS 1 FOR TAKING O AND 2 FOR TAKING X\n");
    scanf("%d",&p);
    if(p==1)
        {player='O';comp='X';}
    else
        {player='X';comp='O';}
    printf("I GIVE YOU THE CHANCE OF MAKING FIRST TURN \n");
   int depth=1;
    while(moveleft())
    {
        printf("ENTER THE ROW AND COLUMN OF YOUR INPUT\n");
        cin>>r>>c;
        b[r][c]=player;
        int x=evaluate(depth);
        depth++;
        print();
        printf("\n\n");

        if(x==-20+depth)   // You have won the game
        {
            printf("CONGRATULATIONS\n");
            return 0;
        }
        cur_move=findbestmove(depth,true);

        b[cur_move.row][cur_move.column]=comp;
        print();
        x=evaluate(depth);
        printf("\n\n");
             if(x==20-depth)
        {
            printf("SORRY TO SAY BUT YOU NEED A LOT OF PRACTICE\n");
            return 0;
        }
    }

printf("IT IS A DRAW\n");
    return 0;
}