



'''simple docstring'''





def lowerCAmelCase						(__A						,			__A):



					"""simple docstring"""



					_a											=						[[] for _ in range(__snake_case)]
					_a											=						key - 1

					if key <= 0:
										raise ValueError('''Height of grid can\'t be 0 or negative''')
					if key == 1 or len(__snake_case) <= key:
										return input_string

					for position, character in enumerate(__snake_case):
										_a											=						position % (lowest * 2)  # puts it in bounds
										_a											=						min(__snake_case						,			lowest * 2 - num)  # creates zigzag pattern
										temp_grid[num].append(__snake_case)
					_a											=						["".join(__snake_case) for row in temp_grid]
					_a											=						"".join(__snake_case)

					return output_string




def lowerCAmelCase						(__A						,			__A):



					"""simple docstring"""



					_a											=						[]
					_a											=						key - 1

					if key <= 0:
										raise ValueError('''Height of grid can\'t be 0 or negative''')
					if key == 1:
										return input_string

					_a											=						[[] for _ in range(__snake_case)]  # generates template
					for position in range(len(__snake_case)):
										_a											=						position % (lowest * 2)  # puts it in bounds
										_a											=						min(__snake_case						,			lowest * 2 - num)  # creates zigzag pattern
										temp_grid[num].append('''*''')

					_a											=						0
					for row in temp_grid:  # fills in the characters
										_a											=						input_string[counter : counter + len(__snake_case)]
										grid.append(list(__snake_case))
										counter += len(__snake_case)

					_a											=						""  # reads as zigzag
					for position in range(len(__snake_case)):
										_a											=						position % (lowest * 2)  # puts it in bounds
										_a											=						min(__snake_case						,			lowest * 2 - num)  # creates zigzag pattern
										output_string += grid[num][0]
										grid[num].pop(0)
					return output_string




def lowerCAmelCase						(__A):



					"""simple docstring"""



					_a											=						{}
					for key_guess in range(1						,			len(__snake_case)):  # tries every key
										_a											=						decrypt(__snake_case						,			__snake_case)
					return results


if __name__ == "__main__":
		import doctest

		doctest.testmod()








'''simple docstring'''





from __future__ import annotations

lowercase_	 =						[True] * 1_000_001
lowercase_	 =						2
while i * i <= 1_000_000:
  if seive[i]:
    for j in range(i * i, 1_000_001, i):
      lowercase_	 =						False
  i += 1




def lowerCAmelCase						(__A):



     """simple docstring"""



     return seive[n]




def lowerCAmelCase						(__A):



     """simple docstring"""



     return any(digit in '''02468''' for digit in str(__A))




def lowerCAmelCase						(__A = 1_000_000):



     """simple docstring"""



     _a											=						[2]  # result already includes the number 2.
     for num in range(3						,			limit + 1						,			2):
          if is_prime(__A) and not contains_an_even_digit(__A):
               _a											=						str(__A)
               _a											=						[int(str_num[j:] + str_num[:j]) for j in range(len(__A))]
               if all(is_prime(__A) for i in list_nums):
                    result.append(__A)
     return result




def lowerCAmelCase						():



     """simple docstring"""



     return len(find_circular_primes())


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



