

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






class    __A				(							lowerCAmelCase ):






    def __init__(	self			:    int    ,				*UpperCAmelCase_			:    Optional[Any]    ,				**UpperCAmelCase_			:    Any    ):
        super().__init__(*UpperCAmelCase_    ,				**UpperCAmelCase_    )






    def 	lowercase__ (	self			:    str    ,				UpperCAmelCase_			:    Union[str, Any]    ,				UpperCAmelCase_			:    Tuple    ):
        lowerCAmelCase				:			Optional[int]    			=      (
            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 	lowercase__ (	self			:    List[str]    ,				UpperCAmelCase_			:    List[str]    ,				UpperCAmelCase_			:    List[str]    ,				UpperCAmelCase_			:    int    ):
        return (increment * self.__hash_function_a(UpperCAmelCase_    ,				UpperCAmelCase_    )) % self.size_table






    def 	lowercase__ (	self			:    Any    ,				UpperCAmelCase_			:    Tuple    ,				UpperCAmelCase_			:    Optional[int]=None    ):
        lowerCAmelCase				:			Tuple    			=      1
        lowerCAmelCase				:			int    			=      self.hash_function(UpperCAmelCase_    )

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

        return new_key








from __future__ import annotations
def 		SCREAMING_SNAKE_CASE__				(							_UpperCAmelCase				)					-> set[int]:



    '''simple docstring'''






    lowerCAmelCase				:			List[str]    			=      {1}
    lowerCAmelCase				:			int    			=      [1]
    for _ in range(2,      depth + 1				):
        lowerCAmelCase				:			str    			=      [*previous_coefficients, 0]
        lowerCAmelCase				:			Optional[int]    			=      [0, *previous_coefficients]
        lowerCAmelCase				:			Tuple    			=      []
        for x, y in zip(_UpperCAmelCase,      _UpperCAmelCase				):
            coefficients.add(x + y				)
            previous_coefficients.append(x + y				)
    return coefficients
def 		SCREAMING_SNAKE_CASE__				(							_UpperCAmelCase				)					-> set[int]:



    '''simple docstring'''






    lowerCAmelCase				:			str    			=      set()
    for number in unique_coefficients:
        lowerCAmelCase				:			Dict    			=      2
        lowerCAmelCase				:			Tuple    			=      number
        while divisor**2 <= copy_number:
            lowerCAmelCase				:			List[str]    			=      0
            while copy_number % divisor == 0:
                copy_number //= divisor
                multiplicity += 1
            if multiplicity >= 2:
                non_squarefrees.add(_UpperCAmelCase				)
                break
            divisor += 1

    return unique_coefficients.difference(_UpperCAmelCase				)
def 		SCREAMING_SNAKE_CASE__				(							_UpperCAmelCase = 51				)					-> int:



    '''simple docstring'''






    lowerCAmelCase				:			int    			=      get_pascal_triangle_unique_coefficients(_UpperCAmelCase				)
    lowerCAmelCase				:			Optional[int]    			=      get_squarefrees(_UpperCAmelCase				)
    return sum(_UpperCAmelCase				)


if __name__ == "__main__":
 print(F'{solution() = }')





