
A__      :	Union[str, Any]          =    {"""a""": ["""c""", """b"""], """b""": ["""d""", """e"""], """c""": [], """d""": [], """e""": []}
A__      :	Union[str, Any]          =    ["""a""", """b""", """c""", """d""", """e"""]



def 							a__ (				lowerCAmelCase	:       Any       ,    lowerCAmelCase	:       List[str]       ,    lowerCAmelCase	:       Dict		):






     '''simple docstring'''
     UpperCAmelCase__							: str 							=						start
     # add current to visited
     visited.append(lowerCAmelCase		)
     UpperCAmelCase__							: List[str] 							=						edges[current]
     for neighbor in neighbors:
          # if neighbor not in visited, visit
          if neighbor not in visited:
               UpperCAmelCase__							: List[Any] 							=						topological_sort(lowerCAmelCase       ,    lowerCAmelCase       ,    lowerCAmelCase		)
    # if all neighbors visited add current to sort
     sort.append(lowerCAmelCase		)
     # if all vertices haven't been visited select a new one to visit
     if len(lowerCAmelCase		) != len(lowerCAmelCase		):
          for vertice in vertices:
               if vertice not in visited:
                    UpperCAmelCase__							: Optional[int] 							=						topological_sort(lowerCAmelCase       ,    lowerCAmelCase       ,    lowerCAmelCase		)
    # return sort
     return sort


if __name__ == "__main__":
    A__      :	List[str]          =    topological_sort("""a""", [], [])
    print(sort)





"""simple docstring"""




import math



def 							a__ (				lowerCAmelCase	:       int		):






     '''simple docstring'''

     if 1 < number < 4:
          # 2 and 3 are primes
          return True
     elif number < 2 or number % 2 == 0 or number % 3 == 0:
          # Negatives, 0, 1, all even numbers, all multiples of 3 are not primes
          return False

     # All primes number are in format of 6k +/- 1
     for i in range(5       ,    int(math.sqrt(lowerCAmelCase		) + 1		)       ,    6		):
          if number % i == 0 or number % (i + 2) == 0:
               return False
     return True



def 							a__ (				lowerCAmelCase	:       int = 1_0001		):






     '''simple docstring'''

     try:
          UpperCAmelCase__							: List[str] 							=						int(lowerCAmelCase		)
     except (TypeError, ValueError):
          raise TypeError("Parameter nth must be int or castable to int."		) from None
     if nth <= 0:
          raise ValueError("Parameter nth must be greater than or equal to one."		)
     UpperCAmelCase__							: list[int] 							=						[]
     UpperCAmelCase__							: str 							=						2
     while len(lowerCAmelCase		) < nth:
          if is_prime(lowerCAmelCase		):
               primes.append(lowerCAmelCase		)
               num += 1
          else:
               num += 1
     return primes[len(lowerCAmelCase		) - 1]


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



