




'''simple docstring'''


from collections import Counter
from functools import total_ordering

from data_structures.heap.heap import Heap

@total_ordering
class 			A    :







							def __init__(  self       :  List[Any]							,			lowerCAmelCase_       :  Dict							,			lowerCAmelCase_       :  List[Any]					)			->							int:


														"""simple docstring"""


														_a	     =				word
														_a	     =				count







							def __eq__(  self       :  Dict							,			lowerCAmelCase_       :  Optional[Any]					)			->							Tuple:


														"""simple docstring"""


														if not isinstance(__UpperCamelCase							,			__UpperCamelCase					):
																					return NotImplemented
														return self.count == other.count







							def __lt__(  self       :  Optional[int]							,			lowerCAmelCase_       :  Optional[Any]					)			->							Any:


														"""simple docstring"""


														if not isinstance(__UpperCamelCase							,			__UpperCamelCase					):
																					return NotImplemented
														return self.count < other.count



def 		snake_case_    (UpperCamelCase       :  Union[str, Any] ,						UpperCamelCase       :  Dict      ):





							'''simple docstring'''


							_a	     =				Heap()
							_a	     =				Counter(lowercase_      )
							heap.build_max_heap(
							    [WordCount(lowercase_ ,						lowercase_      ) for word, count in count_by_word.items()]      )
							return [heap.extract_max().word for _ in range(min(lowercase_ ,						len(lowercase_      )      )      )]


if __name__ == "__main__":
				import doctest

				doctest.testmod()







'''simple docstring'''







from functools import lru_cache






@lru_cache
def 		_lowercase		(	lowercase_  ):



		'''simple docstring'''







		if not isinstance(lowercase_						,							lowercase_  ):
				raise TypeError("k must be an integer."  )
		if k < 0:
				raise ValueError("k integer must be greater or equal to zero."  )
		if k == 0:
				return 0
		elif k == 1:
				return 1
		else:
				return fibonacci(k - 1  ) + fibonacci(k - 2  )






def 		_lowercase		(	lowercase_						,							lowercase_  ):



		'''simple docstring'''







		_snake_case	       =       len(lowercase_  )
		# Find m such that F_m >= n where F_i is the i_th fibonacci number.
		_snake_case	       =       0
		while True:
				if fibonacci(lowercase_  ) >= len_list:
						_snake_case	       =       i
						break
				i += 1
		_snake_case	       =       0
		while fibb_k > 0:
				_snake_case	       =       min(
				    offset + fibonacci(fibb_k - 1  )						,							len_list - 1  )  # Prevent out of range
				_snake_case	       =       arr[index_k]
				if item_k_1 == val:
						return index_k
				elif val < item_k_1:
						fibb_k -= 1
				elif val > item_k_1:
						offset += fibonacci(fibb_k - 1  )
						fibb_k -= 2
		else:
				return -1


if __name__ == "__main__":
						import doctest

						doctest.testmod()





