



'''simple docstring'''





import sys




def lowerCAmelCase						(__A):



     """simple docstring"""



     _a											=						len(__A)
     _a											=						[[0 for x in range(__A)] for x in range(__A)]
     _a											=						[[0 for x in range(__A)] for x in range(__A)]

     for chain_length in range(2						,			__A):
          for a in range(1						,			n - chain_length + 1):
               _a											=						a + chain_length - 1

               _a											=						sys.maxsize
               for c in range(__A						,			__A):
                    _a											=						(
                        matrix[a][c] + matrix[c + 1][b] + array[a - 1] * array[c] * array[b]
                    )
                    if cost < matrix[a][b]:
                         _a											=						cost
                         _a											=						c
     return matrix, sol




def lowerCAmelCase						(__A						,			__A						,			__A):



     """simple docstring"""



     if i == j:
          print('''A''' + str(__A)						,			end=''' ''')
     else:
          print('''('''						,			end=''' ''')
          print_optiomal_solution(__A						,			__A						,			optimal_solution[i][j])
          print_optiomal_solution(__A						,			optimal_solution[i][j] + 1						,			__A)
          print(''')'''						,			end=''' ''')




def lowerCAmelCase						():



     """simple docstring"""



     _a											=						[30, 35, 15, 5, 10, 20, 25]
     _a											=						len(__A)
     # Size of matrix created from above array will be
     # 30*35 35*15 15*5 5*10 10*20 20*25
     _a						,					_a											=						matrix_chain_order(__A)

     print('''No. of Operation required: ''' + str(matrix[1][n - 1]))
     print_optiomal_solution(__A						,			1						,			n - 1)


if __name__ == "__main__":
  main()








'''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()) = }""")



