






'''simple docstring'''




def       __UpperCAmelCase						(  lowerCamelCase_)							->     int:
		UpperCamelCase__				:					Optional[Any]					=					len(UpperCamelCase__)
		UpperCamelCase__				:					Union[str, Any]					=					len(matrix[0])
		UpperCamelCase__				:					str					=					min(UpperCamelCase__     ,      UpperCamelCase__)

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












'''simple docstring'''




def       __UpperCAmelCase						(  lowerCamelCase_     ,      lowerCamelCase_)							->     list[str]:
		return [sentence[i : i + ngram_size] for i in range(len(lowerCamelCase_) - ngram_size + 1)]


if __name__ == "__main__":
		from doctest import testmod

		testmod()




