import random
def 					_snake_case	(  __snake_case  ,     __snake_case  ,     __snake_case = False						):
					_UpperCamelCase			     =     {i: [] for i in range(__snake_case						)}

					# if probability is greater or equal than 1, then generate a complete graph
					if probability >= 1:
										return complete_graph(__snake_case						)
					# if probability is lower or equal than 0, then return a graph without edges
					if probability <= 0:
										return graph

					# for each couple of nodes, add an edge from u to v
					# if the number randomly generated is greater than probability probability
					for i in range(__snake_case						):
										for j in range(i + 1  ,     __snake_case						):
															if random.random() < probability:
																				graph[i].append(__snake_case						)
																				if not directed:
																									# if the graph is undirected, add an edge in from j to i, either
																									graph[j].append(__snake_case						)
					return graph
def 					_snake_case	(  __snake_case						):
					return {
					    i: [j for j in range(__snake_case						) if i != j] for i in range(__snake_case						)
					}


if __name__ == "__main__":
					import doctest

					doctest.testmod()

from __future__ import annotations

_lowerCAmelCase       =		[True] * 1_000_001
_lowerCAmelCase       =		2
while i * i <= 1_000_000:
					if seive[i]:
										for j in range(i * i, 1_000_001, i):
															_lowerCAmelCase       =		False
					i += 1
def 					_snake_case	(  __snake_case						):
					return seive[n]
def 					_snake_case	(  __snake_case						):
					return any(digit in '''02468''' for digit in str(__snake_case						)						)
def 					_snake_case	(  __snake_case = 1000000						):
					_UpperCamelCase			     =     [2]  # result already includes the number 2.
					for num in range(3  ,     limit + 1  ,     2						):
										if is_prime(__snake_case						) and not contains_an_even_digit(__snake_case						):
															_UpperCamelCase			     =     str(__snake_case						)
															_UpperCamelCase			     =     [int(str_num[j:] + str_num[:j]						) for j in range(len(__snake_case						)						)]
															if all(is_prime(__snake_case						) for i in list_nums						):
																				result.append(__snake_case						)
					return result
def 					_snake_case	(  ):
					return len(find_circular_primes()						)


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