





def 							SCREAMING_SNAKE_CASE__						(    __a   ):
	snake_case_		:			Union[str, Any]											=	len(__a   )
	snake_case_		:			str											=	len(matrix[0]   )
	snake_case_		:			int											=	min(__a   , __a   )

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








from __future__ import annotations

from dataclasses import dataclass
@dataclass
class SCREAMING_SNAKE_CASE_						:
						__magic_name__:			float
						__magic_name__:			TreeNode | None       =       None
						__magic_name__:			TreeNode | None       =       None


def 							SCREAMING_SNAKE_CASE__						(    __a   ):

	# Validation
	def is_valid_tree(__a   ) -> bool:
		if node is None:
			return True

		if not isinstance(__a   , __a   ):
			return False

		try:
			float(node.data   )
		except (TypeError, ValueError):
			return False

		return is_valid_tree(node.left   ) and is_valid_tree(node.right   )

	if not is_valid_tree(__a   ):
		raise ValueError(
		    'Each node should be type of TreeNode and data should be float.'   )

	def is_binary_search_tree_recursive_check(
	    __a   , __a   , __a   ) -> bool:

		if node is None:
			return True

		return (
		    left_bound < node.data < right_bound
		    and is_binary_search_tree_recursive_check(node.left   , __a   , node.data   )
		    and is_binary_search_tree_recursive_check(
		        node.right   , node.data   , __a   )
		)

	return is_binary_search_tree_recursive_check(__a   , -float('inf'   )   , float('inf'   )   )


if __name__ == "__main__":
						import doctest

						doctest.testmod()

