"""Print elements of a matrix in spiral order. A popular Leetcode problem: https://leetcode.com/problems/spiral-matrix/description/ """ from dataclasses import dataclass from random import Random from typing import Any, Optional from ..factory import ProceduralDataset, register_dataset QUESTION_TEMPLATE = """Given a matrix, your job is to generate a list of elements in spiral order, starting from the top-left element. Example: - Input: For the matrix below, what is the list of elements in spiral order? 1 2 3 4 5 6 7 8 9 - Output: 1 2 3 6 9 8 7 4 5 - Explanation: - We start from the top-left element (1) and move right until we reach the end of the row: 1 2 3 - Then, we move down until we reach the last column: 1 2 3 6 9 - Next, we move left until we reach the first column: 1 2 3 6 9 8 7 - Then, we move up until we reach the second row (i.e. one below the previously traversed row): 1 2 3 6 9 8 7 4 - Finally, we move right until we reach the second to last column: 1 2 3 6 9 8 7 4 5 - The output format is a space-separated list of elements in spiral order (as opposed to a python list) For the matrix below, what is the list of elements in spiral order? {matrix} """ @dataclass class SpiralMatrixConfig: """Configuration for Spiral Matrix dataset generation""" max_n: int = 10 # Maximum number of rows/cols in the matrix size: int = 500 # Virtual dataset size seed: Optional[int] = None def validate(self): """Validate configuration parameters""" assert 2 <= self.max_n, "max_n must be at least 2" class SpiralMatrixDataset(ProceduralDataset): """Generates Spiral Matrix exercises with configurable difficulty""" def __init__(self, config: SpiralMatrixConfig): super().__init__(config=config, seed=config.seed, size=config.size) def _get_matrix(self, rng: Random) -> list[list[int]]: """Generate a random matrix""" n = rng.randint(2, self.config.max_n) numbers = [rng.randint(0, 9) for _ in range(n**2)] rng.shuffle(numbers) matrix = [numbers[i * n : (i + 1) * n] for i in range(n)] return matrix def _get_spiral(self, matrix: list[list[int]]) -> list[int]: """Return the elements of the matrix in spiral order""" t, b = 0, len(matrix) l, r = 0, len(matrix[0]) out = [] while True: for i in range(l, r): out.append(matrix[t][i]) t += 1 if t == b: break for i in range(t, b): out.append(matrix[i][r - 1]) r -= 1 if l == r: break for i in range(r - 1, l - 1, -1): out.append(matrix[b - 1][i]) b -= 1 if t == b: break for i in range(b - 1, t - 1, -1): out.append(matrix[i][l]) l += 1 if l == r: break return out def _matrix_to_str(self, matrix: list[list[int]]) -> str: """Get a string representation of the matrix""" return "\n".join(" ".join(str(x) for x in row) for row in matrix) def _list_to_str(self, array: list[int]) -> str: """Get a string representation of the array""" return " ".join(str(x) for x in array) def __getitem__(self, idx: int) -> dict: """Generate a single Spiral Matrix question""" rng = Random(self.seed + idx) matrix = self._get_matrix(rng) matrix_str = self._matrix_to_str(matrix) answer = self._get_spiral(matrix) answer_str = self._list_to_str(answer) return { "question": QUESTION_TEMPLATE.format(matrix=matrix_str), "answer": answer_str, "metadata": {"matrix": matrix, "solution": answer}, } def score_answer(self, answer: Optional[str], entry: dict[str, Any]) -> float: """Overwrite this method in derived classes if a single oracle answer is not available.""" oracle_answer = entry["answer"].strip() if answer is not None and len(answer) > 0: answer = answer.strip() # Exact match if answer == oracle_answer: return 1.0 # Try to see if the model's answer is a python list try: answer = " ".join(str(item) for item in eval(answer)) if answer == oracle_answer: return 0.5 else: return 0.01 except Exception as e: return 0.01 return 0.0 register_dataset("spiral_matrix", SpiralMatrixDataset, SpiralMatrixConfig)