


import numpy as np


class 	_a							:

							def __init__(							self:     List[str]							)      ->       Dict:





									"""simple docstring"""







									lowercase__						=				(0, 0)
									lowercase__						=				None
									lowercase__						=				0
									lowercase__						=				0
									lowercase__						=				0

							def __eq__(							self:     Tuple   ,						UpperCamelCase_:     Any							)      ->       int:





									"""simple docstring"""







									return self.position == cell.position


							def 				lowerCamelCase_			(							self:     str							)      ->       Union[str, Any]:





									"""simple docstring"""







									print(self.position							)


class 	_a							:

							def __init__(							self:     List[Any]   ,						UpperCamelCase_:     str=(5, 5)							)      ->       Tuple:





									"""simple docstring"""







									lowercase__						=				np.zeros(UpperCamelCase_							)
									lowercase__						=				world_size[0]
									lowercase__						=				world_size[1]

							def 				lowerCamelCase_			(							self:     Dict							)      ->       Tuple:





									"""simple docstring"""







									print(self.w							)


							def 				lowerCamelCase_			(							self:     str   ,						UpperCamelCase_:     Optional[int]							)      ->       Optional[Any]:





									"""simple docstring"""







									lowercase__						=				[
									    (-1, -1),
									    (-1, 0),
									    (-1, 1),
									    (0, -1),
									    (0, 1),
									    (1, -1),
									    (1, 0),
									    (1, 1),
									]
									lowercase__						=				cell.position[0]
									lowercase__						=				cell.position[1]
									lowercase__						=				[]
									for n in neughbour_cord:
											lowercase__						=				current_x + n[0]
											lowercase__						=				current_y + n[1]
											if 0 <= x < self.world_x_limit and 0 <= y < self.world_y_limit:
													lowercase__						=				Cell()
													lowercase__						=				(x, y)
													lowercase__						=				cell
													neighbours.append(UpperCamelCase_							)
									return neighbours
def       _a			(				SCREAMING_SNAKE_CASE						,    SCREAMING_SNAKE_CASE						,    SCREAMING_SNAKE_CASE					):


		"""simple docstring"""




		lowercase__						=				[]
		lowercase__						=				[]
		_open.append(SCREAMING_SNAKE_CASE					)

		while _open:
				lowercase__						=				np.argmin([n.f for n in _open]					)
				lowercase__						=				_open[min_f]
				_closed.append(_open.pop(SCREAMING_SNAKE_CASE					)					)
				if current == goal:
						break
				for n in world.get_neigbours(SCREAMING_SNAKE_CASE					):
						for c in _closed:
								if c == n:
										continue
						lowercase__						=				current.g + 1
						lowercase__					,		lowercase__						=				n.position
						lowercase__					,		lowercase__						=				goal.position
						lowercase__						=				(ya - ya) ** 2 + (xa - xa) ** 2
						lowercase__						=				n.h + n.g

						for c in _open:
								if c == n and c.f < n.f:
										continue
						_open.append(SCREAMING_SNAKE_CASE					)
		lowercase__						=				[]
		while current.parent is not None:
				path.append(current.position					)
				lowercase__						=				current.parent
		path.append(current.position					)
		return path[::-1]


if __name__ == "__main__":
			lowerCAmelCase	=							Gridworld()
			# Start position and goal
			lowerCAmelCase	=							Cell()
			lowerCAmelCase	=							(0, 0)
			lowerCAmelCase	=							Cell()
			lowerCAmelCase	=							(4, 4)
			print(f"""path from {start.position} to {goal.position}""")
			lowerCAmelCase	=							astar(world, start, goal)
			#   Just for visual reasons.
			for i in s:
						lowerCAmelCase	=							1
			print(world.w)






import math_equivalence  # From: git+https://github.com/hendrycks/math.git

import datasets


lowerCAmelCase	=							'\\n@article{hendrycksmath2021,\n  title={Measuring Mathematical Problem Solving With the MATH Dataset},\n  author={Dan Hendrycks\n    and Collin Burns\n    and Saurav Kadavath\n    and Akul Arora\n    and Steven Basart\n    and Eric Tang\n    and Dawn Song\n    and Jacob Steinhardt},\n  journal={arXiv preprint arXiv:2103.03874},\n  year={2021}\n}\n'


lowerCAmelCase	=							'\\nThis metric is used to assess performance on the Mathematics Aptitude Test of Heuristics (MATH) dataset.\nIt first canonicalizes the inputs (e.g., converting "1/2" to "\\frac{1}{2}") and then computes accuracy.\n'


lowerCAmelCase	=							R'\nCalculates accuracy after canonicalizing inputs.\n\nArgs:\n    predictions: list of predictions to score. Each prediction\n        is a string that contains natural language and LaTex.\n    references: list of reference for each prediction. Each\n        reference is a string that contains natural language\n        and LaTex.\nReturns:\n    accuracy: accuracy after canonicalizing inputs\n        (e.g., converting "1/2" to "\\frac{1}{2}")\n\nExamples:\n    >>> metric = datasets.load_metric("competition_math")\n    >>> results = metric.compute(references=["\\frac{1}{2}"], predictions=["1/2"])\n    >>> print(results)\n    {\'accuracy\': 1.0}\n'


@datasets.utils.file_utils.add_end_docstrings(_DESCRIPTION					,     _KWARGS_DESCRIPTION      )
class 	_a							(      datasets.Metric      ):

							def 				lowerCamelCase_			(							self:     List[str]							)      ->       Tuple:





									"""simple docstring"""







									return datasets.MetricInfo(
									    description=_DESCRIPTION   ,						citation=_CITATION   ,						inputs_description=_KWARGS_DESCRIPTION   ,						features=datasets.Features(
									        {
									            '''predictions''': datasets.Value('''string'''							),
									            '''references''': datasets.Value('''string'''							),
									        }							)   ,						homepage='''https://github.com/hendrycks/math'''   ,						codebase_urls=['''https://github.com/hendrycks/math''']   ,						)


							def 				lowerCamelCase_			(							self:     Union[str, Any]   ,						UpperCamelCase_:     Any   ,						UpperCamelCase_:     int							)      ->       List[str]:





									"""simple docstring"""







									lowercase__						=				0.0
									for i, j in zip(UpperCamelCase_   ,						UpperCamelCase_							):
											n_correct += 1.0 if math_equivalence.is_equiv(UpperCamelCase_   ,						UpperCamelCase_							) else 0.0
									lowercase__						=				n_correct / len(UpperCamelCase_							)
									return {
									    "accuracy": accuracy,
									}


