Code a python chess engine extensively into whatever this topic is; "DeepMaster Chess Engine Full Complex Application" into a single python code, as "code" with these specific requirements; 'high-coding skills', 'no-breakdowns.

CONTENT = The content here, is based-off the description as well as it's matching topic.

Description: "DeepMaster is a traditional chess engine built with Deep Positional Learning and Dynamic Move Selection. It enhances classical engine design by blending efficient pruning techniques with deep reinforcement learning to optimize move choices based on board configurations and historical play patterns. Positional understanding is its key strength, excelling in positions where the material is less critical than piece activity and control."

Directed Features: 
"""
Positional Memory Learning: Recalls and prioritizes move sequences based on specific strategic patterns across games.
Dynamic Depth Control: Adjusts the search depth based on position complexity rather than uniform depth limits, making it faster in tactical situations and deeper in positional ones.
Endgame Navigator: Specialized logic that kicks in when only a few pieces remain, enabling it to navigate even the trickiest endings with precision.

Alpha-Beta Pruning with enhanced Monte Carlo Tree Search (MCTS) for selective deep dives into critical variations.
Positional Heuristics like Outpost Mastery and Weak Square Exploitation for high-level strategic understanding.
Rook-on-the-Seventh and Minor Piece Dominance special emphasis within endgame evaluation.
""'

[ENGINE_SAMPLER: 3.1]
[TOP_M: 1.2]

The higher the sampler and TOP_M the more accustomed you'll have to add to the chess engine to grow on the specific requirements.


Reference Script (REFERENCE ONLY):

```
#1, and 2. (Scripts)

# See python-chess documentation at https://python-chess.readthedocs.io/en/latest/

import chess
import chess.pgn
import random

# Plays a randomly selected legal move each turn
class RandomPlayer:
    def __init__(self):
        pass

    def select_move(self, board):
        return random.choice(list(board.legal_moves)) if board.legal_moves else None

# Plays a checkmate if possible, otherwise a capture if possible, 
# otherwise a random move
class CheckmateOrCapturePlayer:
    def __init__(self):
        pass

    def select_move(self, board):
        if not board.legal_moves:
            return None

        legal_moves = list(board.legal_moves)
        chosen_move = None

        for move in legal_moves:
            if board.is_capture(move):
                chosen_move = move
            board.push(move)
            if board.is_checkmate():
                board.pop()
                return move
            board.pop()

        if not chosen_move:
            return random.choice(legal_moves)

        return chosen_move

def play_game(white, black):
    board = chess.Board()
    game = chess.pgn.Game()
    node = game

    while not board.is_game_over():
        player = white if board.turn else black
        move = player.select_move(board)
        board.push(move)
        node = node.add_variation(move)

    game.headers["Result"] = board.result()
    game.headers["White"] = " " + type(white).__name__
    game.headers["Black"] = " " + type(black).__name__
    excluded_tags = ["Event", "Site", "Date", "Round"]
    for tag in excluded_tags:
        if tag in game.headers:
            del game.headers[tag]
    return game

def playoff(player1, player2):
    pass

board = chess.Board()
game = chess.pgn.Game()
node = game
white = CheckmateOrCapturePlayer()
black = RandomPlayer()

game = play_game(white, black)
print (game)

#2:

import chess
import chess.engine
import random

class SimpleChessEngine:
    def __init__(self):
        self.board = chess.Board()

    def make_move(self, move):
        """Attempts to make a move on the board."""
        try:
            self.board.push_san(move)
        except ValueError:
            return "Invalid move. Please try again."

    def get_random_move(self):
        """Returns a random legal move from the current board state."""
        moves = list(self.board.legal_moves)
        return random.choice(moves) if moves else None

    def play_engine_move(self):
        """Makes a random move for the engine and returns it."""
        move = self.get_random_move()
        if move:
            self.board.push(move)
        return move

    def display_board(self):
        """Returns a string representation of the current board."""
        return str(self.board)

def main():
    engine = SimpleChessEngine()
    print("Welcome to Simple Chess Engine!")
    print("Enter your moves in standard algebraic notation (e.g., e2e4).")

    while not engine.board.is_game_over():
        print(engine.display_board())
        user_move = input("Your move: ")
        if user_move.lower() == 'quit':
            break
        response = engine.make_move(user_move)
        if response:
            print(response)
            continue
        if not engine.board.is_game_over():
            engine_move = engine.play_engine_move()
            if engine_move:
                print(f"Engine move: {engine_move}")

    print("Game over!")
    print(engine.display_board())

if __name__ == "__main__":
    main()
```