






import math






def 	UpperCamelCase	(							snake_case__  : int	):




     '''simple docstring'''






     __snake_case      :Dict 							=    math.loga(math.sqrt(4 * positive_integer + 1	) / 2 + 1 / 2	)

     return exponent == int(snake_case__	)






def 	UpperCamelCase	(							snake_case__  : float = 1 / 1_2345	):




     '''simple docstring'''






     __snake_case      :List[Any] 							=    0
     __snake_case      :Union[str, Any] 							=    0

     __snake_case      :Optional[Any] 							=    3
     while True:
          __snake_case      :List[str] 							=    (integer**2 - 1) / 4
          # if candidate is an integer, then there is a partition for k
          if partition_candidate == int(snake_case__	):
               __snake_case      :Optional[Any] 							=    int(snake_case__	)
               total_partitions += 1
               if check_partition_perfect(snake_case__	):
                    perfect_partitions += 1
          if perfect_partitions > 0:
               if perfect_partitions / total_partitions < max_proportion:
                    return int(snake_case__	)
          integer += 1


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










def 	UpperCamelCase	(							snake_case__  : float						,snake_case__  : int	):




     '''simple docstring'''






     if digit_amount > 0:
          return round(number - int(snake_case__	)						,snake_case__	)
     return number - int(snake_case__	)


if __name__ == "__main__":
     print(decimal_isolate(1.5_3, 0))
     print(decimal_isolate(3_5.3_4_5, 1))
     print(decimal_isolate(3_5.3_4_5, 2))
     print(decimal_isolate(3_5.3_4_5, 3))
     print(decimal_isolate(-1_4.7_8_9, 3))
     print(decimal_isolate(0, 2))
     print(decimal_isolate(-1_4.1_2_3, 1))
     print(decimal_isolate(-1_4.1_2_3, 2))
     print(decimal_isolate(-1_4.1_2_3, 3))


