




def 				A__ (snake_case   :		list[list[int | float]]				)     ->						int:
					__UpperCamelCase					:	List[Any]             =      len(snake_case				)
					__UpperCamelCase					:	Optional[Any]             =      len(matrix[0]				)
					__UpperCamelCase					:	Dict             =      min(snake_case		,	snake_case				)

					for row in range(snake_case				):
										# Check if diagonal element is not zero
										if matrix[row][row] != 0:
															# Eliminate all the elements below the diagonal
															for col in range(row + 1		,	snake_case				):
																				__UpperCamelCase					:	List[str]             =      matrix[col][row] / matrix[row][row]
																				for i in range(snake_case		,	snake_case				):
																									matrix[col][i] -= multiplier * matrix[row][i]
										else:
															# Find a non-zero diagonal element to swap rows
															__UpperCamelCase					:	int             =      True
															for i in range(row + 1		,	snake_case				):
																				if matrix[i][row] != 0:
																									__UpperCamelCase      ,			__UpperCamelCase					:	List[str]             =      matrix[i], matrix[row]
																									__UpperCamelCase					:	List[Any]             =      False
																									break
															if reduce:
																				rank -= 1
																				for i in range(snake_case				):
																									__UpperCamelCase					:	Union[str, Any]             =      matrix[i][rank]

            # Reduce the row pointer by one to stay on the same row
															row -= 1

					return rank


if __name__ == "__main__":
	import doctest

	doctest.testmod()












import copy
from dataclasses import dataclass, field
from typing import ClassVar, Dict

from ..features import ClassLabel, Features, Image
from .base import TaskTemplate


@dataclass(frozen=_UpperCamelCase   )
class    SCREAMING_SNAKE_CASE_				(       _UpperCamelCase   ):



	"""simple docstring"""


	__magic_name__   :       str      	=		field(default='image-classification'	,  metadata={'include_in_asdict_even_if_is_default': True}   )
	__magic_name__   :       ClassVar[Features]      	=		Features({'image': Image()}   )
	__magic_name__   :       ClassVar[Features]      	=		Features({'labels': ClassLabel}   )
	__magic_name__   :       str      	=		"image"
	__magic_name__   :       str      	=		"labels"






	def 					lowerCamelCase__     (					self		:						Any					,     lowerCAmelCase		:						Optional[Any]	)	->       Union[str, Any]:







						"""simple docstring"""







						if self.label_column not in features:
											raise ValueError(F'''Column {self.label_column} is not present in features.'''	)
						if not isinstance(features[self.label_column]					,     lowerCAmelCase	):
											raise ValueError(F'''Column {self.label_column} is not a ClassLabel.'''	)
						__UpperCamelCase					:	List[str]             =      copy.deepcopy(self	)
						__UpperCamelCase					:	List[Any]             =      self.label_schema.copy()
						__UpperCamelCase					:	List[str]             =      features[self.label_column]
						__UpperCamelCase					:	List[str]             =      label_schema
						return task_template






	@property
	def 					lowerCamelCase__     (					self		:						List[Any]	)	->       Dict[str, str]:







						"""simple docstring"""







						return {
						    self.image_column: "image",
						    self.label_column: "labels",
						}






