




'''simple docstring'''







from .number_theory.prime_numbers import next_prime





class      lowerCamelCase_							:




					'''simple docstring'''






					def __init__(    self,  __UpperCamelCase,  __UpperCamelCase = None,  __UpperCamelCase = None,  ):
							_snake_case	       =       size_table
							_snake_case	       =       [None] * self.size_table
							_snake_case	       =       0.75 if lim_charge is None else lim_charge
							_snake_case	       =       1 if charge_factor is None else charge_factor
							_snake_case	       =       []
							_snake_case	       =       {}






					def 				__SCREAMING_SNAKE_CASE	(    self ):
							return self._keys






					def 				__SCREAMING_SNAKE_CASE	(    self ):
							return sum(1 for slot in self.values if slot is not None ) / (
							    self.size_table * self.charge_factor
							)






					def 				__SCREAMING_SNAKE_CASE	(    self,  __UpperCamelCase ):
							return key % self.size_table






					def 				__SCREAMING_SNAKE_CASE	(    self,  __UpperCamelCase ):
							print(f'''step {step_ord}''' )
							print(list(range(len(self.values ) ) ) )
							print(self.values )






					def 				__SCREAMING_SNAKE_CASE	(    self,  __UpperCamelCase ):
							_snake_case	       =       1
							_snake_case	       =       values
							for value in values:
									self.insert_data(__UpperCamelCase )
									self._step_by_step(__UpperCamelCase )
									i += 1






					def 				__SCREAMING_SNAKE_CASE	(    self,  __UpperCamelCase,  __UpperCamelCase ):
							_snake_case	       =       data
							_snake_case	       =       data






					def 				__SCREAMING_SNAKE_CASE	(    self,  __UpperCamelCase,  __UpperCamelCase=None ):
							_snake_case	       =       self.hash_function(key + 1 )

							while self.values[new_key] is not None and self.values[new_key] != key:
									if self.values.count(__UpperCamelCase ) > 0:
											_snake_case	       =       self.hash_function(new_key + 1 )
									else:
											_snake_case	       =       None
											break

							return new_key






					def 				__SCREAMING_SNAKE_CASE	(    self ):
							_snake_case	       =       [value for value in self.values if value is not None]
							_snake_case	       =       next_prime(self.size_table,  factor=2 )
							self._keys.clear()
							_snake_case	       =       [None] * self.size_table  # hell's pointers D: don't DRY ;/
							for value in survivor_values:
									self.insert_data(__UpperCamelCase )






					def 				__SCREAMING_SNAKE_CASE	(    self,  __UpperCamelCase ):
							_snake_case	       =       self.hash_function(__UpperCamelCase )

							if self.values[key] is None:
									self._set_value(__UpperCamelCase,  __UpperCamelCase )

							elif self.values[key] == data:
									pass

							else:
									_snake_case	       =       self._collision_resolution(__UpperCamelCase,  __UpperCamelCase )
									if collision_resolution is not None:
											self._set_value(__UpperCamelCase,  __UpperCamelCase )
									else:
											self.rehashing()
											self.insert_data(__UpperCamelCase )











'''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()





