Learn and practice the Hash Maps and Knowing What to Track patterns to solve coding interview problems.

Educative-99 in Python: Accelerate Your Coding Interview Prep

Hash maps are powerful data structures that enable programmers to design more efficient solutions for certain problems. After practicing solving problems using hash maps, we will move to the more general problem-solving skill of figuring out the key characteristics of a problem, using various techniques to track them, in order to design remarkably efficient solutions for seemingly complex problems.

Hashing and Tracking

# Statement

Suppose that two players are playing a tic-tac-toe game on an $n \times n$ board. They're following specific rules to play and win the game:

* A move is guaranteed to be valid if a mark is placed on an empty block.
* No more moves are allowed once a winning condition is reached.
* A player who succeeds in placing $n$ of their marks in a horizontal, vertical, or diagonal row wins the game.

Implement a **TicTacToe** class, which will be used by two players to play the game and win fairly.

Keep in mind the following functionalities that need to be implemented:

* **Constructor**, the constructor, which initializes an object of `TicTacToe`, allowing the players to play on a board of size $n \times n$.
* **move(row, col, player)** indicates that the player with the ID, `player`, places their mark on the cell (`row`, `col`). The move is guaranteed to be a valid move. At each move, this function returns the player ID if the current player wins and returns $0$ if no one wins.    

**Constraints:**

* $2 \leq n \leq 9$
* `player` should be either `1` or `2`.
* $0 \leq$ `row`, `col` $< n$
* Every call to `move()` will be with a unique `row`, `col` combination.

* The `move()` function will be called at most $n^2$ times.


# Examples

Try to solve the Design Tic-Tac-Toe problem.