



from .hash_table import HashTable
from .number_theory.prime_numbers import is_prime, next_prime



class       _lowercase				(  lowerCAmelCase      ):





	"""simple docstring"""




	def __init__(self						,			*lowerCamelCase_						,			**lowerCamelCase_						):
						"""simple docstring"""

						super().__init__(*lowerCamelCase_						,			**lowerCamelCase_						)




	def 	UpperCamelCase_			(self						,			lowerCamelCase_						,			lowerCamelCase_						):
						"""simple docstring"""

						a   	=  (
						    next_prime(value % self.size_table						)
						    if not is_prime(value % self.size_table						)
						    else value % self.size_table
						)  # gt = bigger than
						return next_prime_gt - (data % next_prime_gt)




	def 	UpperCamelCase_			(self						,			lowerCamelCase_						,			lowerCamelCase_						,			lowerCamelCase_						):
						"""simple docstring"""

						return (increment * self.__hash_function_a(lowerCamelCase_						,			lowerCamelCase_						)) % self.size_table




	def 	UpperCamelCase_			(self						,			lowerCamelCase_						,			lowerCamelCase_=None						):
						"""simple docstring"""

						a   	=  1
						a   	=  self.hash_function(lowerCamelCase_						)

						while self.values[new_key] is not None and self.values[new_key] != key:
											a   	=  (
											    self.__hash_double_function(lowerCamelCase_						,			lowerCamelCase_						,			lowerCamelCase_						)
											    if self.balanced_factor() >= self.lim_charge
											    else None
											)
											if new_key is None:
																break
											else:
																i += 1

						return new_key





def        a( A			:       int					,	A			:       int					,	A			:       int			)						->			float:
					"""simple docstring"""





					if common_ratio == 1:
										# Formula for sum if common ratio is 1
										return num_of_terms * first_term

					# Formula for finding sum of n terms of a GeometricProgression
					return (first_term / (1 - common_ratio)) * (1 - common_ratio**num_of_terms)
