


"""simple docstring"""






from collections import Counter
from functools import total_ordering

from data_structures.heap.heap import Heap


@total_ordering
class       lowerCamelCase_		:





				"""simple docstring"""







				def __init__(    self							,		UpperCAmelCase__							,		UpperCAmelCase__  ):
								SCREAMING_SNAKE_CASE__  				=					word
								SCREAMING_SNAKE_CASE__  				=					count



				def __eq__(    self							,		UpperCAmelCase__  ):
								if not isinstance(UpperCAmelCase__							,		UpperCAmelCase__  ):
												return NotImplemented
								return self.count == other.count






				def __lt__(    self							,		UpperCAmelCase__  ):
								if not isinstance(UpperCAmelCase__							,		UpperCAmelCase__  ):
												return NotImplemented
								return self.count < other.count


def __lowercase  (   lowerCamelCase_	:   list[str]    ,       lowerCamelCase_	:   int	):
				SCREAMING_SNAKE_CASE__  				=					Heap()
				SCREAMING_SNAKE_CASE__  				=					Counter(lowerCamelCase_	)
				heap.build_max_heap(
				    [WordCount(lowerCamelCase_    ,       lowerCamelCase_	) for word, count in count_by_word.items()]	)
				return [heap.extract_max().word for _ in range(min(lowerCamelCase_    ,       len(lowerCamelCase_	)	)	)]


if __name__ == "__main__":
	import doctest

	doctest.testmod()




"""simple docstring"""






def __lowercase  (   lowerCamelCase_	:   list	):
				if not isinstance(lowerCamelCase_    ,       lowerCamelCase_	):
								raise ValueError("Input series is not valid, valid series - [2, 4, 8]"	)
				if len(lowerCamelCase_	) == 0:
								raise ValueError("Input list must be a non empty list"	)
				if len(lowerCamelCase_	) == 1:
								return True
				try:
								SCREAMING_SNAKE_CASE__  				=					series[1] / series[0]
								for index in range(len(lowerCamelCase_	) - 1	):
												if series[index + 1] / series[index] != common_ratio:
																return False
				except ZeroDivisionError:
								return False
				return True


def __lowercase  (   lowerCamelCase_	:   list	):
				if not isinstance(lowerCamelCase_    ,       lowerCamelCase_	):
								raise ValueError("Input series is not valid, valid series - [2, 4, 8]"	)
				if len(lowerCamelCase_	) == 0:
								raise ValueError("Input list must be a non empty list"	)
				SCREAMING_SNAKE_CASE__  				=					1
				for value in series:
								answer *= value
				return pow(lowerCamelCase_    ,       1 / len(lowerCamelCase_	)	)


if __name__ == "__main__":
	import doctest

	doctest.testmod()
