


'''simple docstring'''






def      UpperCAmelCase      (		lowerCamelCase_  :List[str] ):







		'''simple docstring'''
		snake_case_		:							Tuple			       =						len(__lowerCAmelCase )
		snake_case_		:							str			       =						len(matrix[0] )
		snake_case_		:							Any			       =						min(__lowerCAmelCase				,      __lowerCAmelCase )

		for row in range(__lowerCAmelCase ):
				# 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				,      __lowerCAmelCase ):
								snake_case_		:							Union[str, Any]			       =						matrix[col][row] / matrix[row][row]
								for i in range(__lowerCAmelCase				,      __lowerCAmelCase ):
										matrix[col][i] -= multiplier * matrix[row][i]
				else:
						# Find a non-zero diagonal element to swap rows
						snake_case_		:							Union[str, Any]			       =						True
						for i in range(row + 1				,      __lowerCAmelCase ):
								if matrix[i][row] != 0:
										snake_case_		:							Optional[int]			       =						matrix[i], matrix[row]
										snake_case_		:							Any			       =						False
										break
						if reduce:
								rank -= 1
								for i in range(__lowerCAmelCase ):
										snake_case_		:							Dict			       =						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()



'''simple docstring'''






from abc import ABC, abstractmethod
from argparse import ArgumentParser
class 						__UpperCamelCase	(						lowercase__							):





							@staticmethod
							@abstractmethod
							def 		a__   (  _UpperCamelCase		:ArgumentParser			):
									raise NotImplementedError()





							@abstractmethod
							def 		a__   (  self		:Optional[Any]			):
									raise NotImplementedError()