from dataclasses import dataclass import numpy as np HORIZON = 300 RED_INTERVAL = 12 ORDINARY_INTERVAL = 4 MAX_RED = (HORIZON + RED_INTERVAL - 1) // RED_INTERVAL MAX_BALLS = HORIZON // ORDINARY_INTERVAL + 10 * MAX_RED MOVES = {1: (0, -1), 2: (-1, 0), 3: (0, 1), 4: (1, 0)} @dataclass class Ball: row: int column: int red: bool = False class BBlastEnvironment: score_cap = MAX_BALLS * (MAX_BALLS + 1) // 2 + 10 * MAX_RED def __init__(self, sticky_action_prob: float = 0.1, horizon: int = HORIZON): self.sticky_action_prob = sticky_action_prob self.horizon = min(horizon, HORIZON) self.seed(0) self.reset() def seed(self, seed: int) -> None: self.random = np.random.default_rng(seed) def reset(self) -> None: self.cursor = (5, 5) self.center = self.cursor self.steps = self.last_action = self.charge = self.cooldown = 0 self.balls: list[Ball] = [] self.terminal = False @classmethod def normalize_score(cls, score: float) -> float: return min(max(score, 0), cls.score_cap) / cls.score_cap def act(self, action: int) -> tuple[float, bool]: if self.terminal: return 0.0, True if self.random.random() < self.sticky_action_prob: action = self.last_action self.steps += 1 self.cooldown = max(0, self.cooldown - 1) reward = 0 if action == 5: if not self.charge: self.center = self.cursor self.charge = 1 elif not self.cooldown or self.steps % 3 == 0: self.charge = min(12, self.charge + 1) else: if self.charge: reward += self._blast() if action in MOVES: dr, dc = MOVES[action] row, column = self.cursor self.cursor = max(0, min(9, row + dr)), max(0, min(9, column + dc)) self.last_action = action if self.steps % RED_INTERVAL == 1: self.balls.append(Ball(1, int(self.random.integers(2, 8)), True)) if self.steps % ORDINARY_INTERVAL == 0: self.balls.append(Ball(int(self.random.integers(2, 8)), int(self.random.integers(1, 9)))) if self.steps % 2 == 0: reward += self._settle() self.terminal |= self.steps >= self.horizon return float(reward), self.terminal def _blast(self) -> int: row, column = self.center hit = [ball for ball in self.balls if (ball.row - row) ** 2 + (ball.column - column) ** 2 <= (self.charge / 2 + 0.5) ** 2] removed = {id(ball) for ball in hit} self.balls = [ball for ball in self.balls if id(ball) not in removed] for ball in hit: if ball.red: self.balls.extend(Ball(max(0, min(9, ball.row + dr)), max(0, min(9, ball.column + dc))) for dr in (-1, 0, 1) for dc in (-1, 0, 1)) self.charge = 0 self.cooldown = 6 return len(hit) * (len(hit) + 1) // 2 def _settle(self) -> int: reward = 0 occupied: set[tuple[int, int]] = set() for ball in sorted(self.balls, key=lambda item: -item.row): options = [(ball.row + 1, ball.column), (ball.row, ball.column), (ball.row, ball.column - 1), (ball.row, ball.column + 1), (ball.row - 1, ball.column)] for row, column in options: if 0 <= row < 10 and 0 <= column < 10 and (row, column) not in occupied: ball.row, ball.column = row, column occupied.add((row, column)) break if ball.red and ball.row == 9: reward += 10 ball.red = False if ball.row == 0: self.terminal = True return reward def state(self) -> np.ndarray: state = np.zeros((10, 10, 6), dtype=bool) state[*self.cursor, 0] = True for ball in self.balls: state[ball.row, ball.column, 1 if ball.red else 2] = True if self.charge: state[*self.center, 3] = True rows, columns = np.ogrid[:10, :10] state[:, :, 4] = ((rows - self.center[0]) ** 2 + (columns - self.center[1]) ** 2 <= (self.charge / 2 + 0.5) ** 2) for row, value in enumerate((self.steps, self.charge, self.cooldown, self.last_action)): for bit in range(9): state[row, bit, 5] = bool(value & (1 << bit)) return state