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117 lines
3.4 KiB
Python
117 lines
3.4 KiB
Python
"""Print elements of a matrix in spiral order.
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A popular Leetcode problem:
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https://leetcode.com/problems/spiral-matrix/description/
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"""
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from dataclasses import dataclass
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from random import Random
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from typing import Optional
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from ..factory import ProceduralDataset, register_dataset
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QUESTION_TEMPLATE = """Given a matrix, your job is to generate a list of elements in spiral order.
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Example:
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Input:
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1 2 3 4
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5 6 7 8
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9 10 11 12
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Output: 1 2 3 4 8 12 11 10 9 5 6 7
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For the matrix below, what is the list of elements in spiral order?
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{matrix}
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"""
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@dataclass
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class SpiralMatrixConfig:
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"""Configuration for Spiral Matrix dataset generation"""
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max_rows: int = 10 # Maximum number of rows in the matrix
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max_cols: int = 10 # Maximum number of columns in the matrix
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size: int = 500 # Virtual dataset size
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seed: Optional[int] = None
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def validate(self):
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"""Validate configuration parameters"""
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assert 1 <= self.max_rows, "max_rows must be at least 1"
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assert 1 <= self.max_cols, "max_cols must be at least 1"
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class SpiralMatrixDataset(ProceduralDataset):
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"""Generates Spiral Matrix exercises with configurable difficulty"""
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def __init__(self, config: SpiralMatrixConfig):
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super().__init__(config=config, seed=config.seed, size=config.size)
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def _get_matrix(self, rng: Random) -> list[list[int]]:
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"""Generate a random matrix"""
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rows, cols = rng.randint(1, self.config.max_rows), rng.randint(1, self.config.max_cols)
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numbers = list(range(rows * cols))
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rng.shuffle(numbers)
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matrix = [numbers[i * cols : (i + 1) * cols] for i in range(rows)]
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return matrix
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def _get_spiral(self, matrix: list[list[int]]) -> list[int]:
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"""Return the elements of the matrix in spiral order"""
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t, b = 0, len(matrix)
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l, r = 0, len(matrix[0])
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out = []
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while True:
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for i in range(l, r):
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out.append(matrix[t][i])
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t += 1
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if t == b:
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break
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for i in range(t, b):
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out.append(matrix[i][r - 1])
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r -= 1
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if l == r:
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break
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for i in range(r - 1, l - 1, -1):
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out.append(matrix[b - 1][i])
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b -= 1
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if t == b:
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break
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for i in range(b - 1, t - 1, -1):
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out.append(matrix[i][l])
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l += 1
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if l == r:
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break
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return out
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def _matrix_to_str(self, matrix: list[list[int]]) -> str:
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"""Get a string representation of the matrix"""
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return "\n".join(" ".join(str(x) for x in row) for row in matrix)
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def _list_to_str(self, array: list[int]) -> str:
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"""Get a string representation of the array"""
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return " ".join(str(x) for x in array)
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def __getitem__(self, idx: int) -> dict:
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"""Generate a single Spiral Matrix question"""
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rng = Random(self.seed + idx)
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matrix = self._get_matrix(rng)
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matrix_str = self._matrix_to_str(matrix)
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answer = self._get_spiral(matrix)
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answer_str = self._list_to_str(answer)
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return {
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"question": QUESTION_TEMPLATE.format(matrix=matrix_str),
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"answer": answer_str,
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"metadata": {"matrix": matrix, "solution": answer},
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}
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register_dataset("spiral_matrix", SpiralMatrixDataset, SpiralMatrixConfig)
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