

import os
import random
import sys

from . import cryptomath_module as cryptomath
from . import rabin_miller

_lowerCamelCase      :					List[str]					    =      3





def      A__					(			__A  :						int			)					->int:
      print('''Generating primitive root of p'''			)
      while True:
            __A    =random.randrange(3     ,				__A			)
            if pow(__A     ,				2     ,				__A			) == 1:
                  continue
            if pow(__A     ,				__A     ,				__A			) == 1:
                  continue
            return g





def      A__					(			__A  :						int			)					->tuple[tuple[int, int, int, int], tuple[int, int]]:
      print('''Generating prime p...'''			)
      __A    =rabin_miller.generate_large_prime(__A			)  # select large prime number.
      __A    =primitive_root(__A			)  # one primitive root on modulo p.
      __A    =random.randrange(3     ,				__A			)  # private_key -> have to be greater than 2 for safety.
      __A    =cryptomath.find_mod_inverse(pow(__A     ,				__A     ,				__A			)     ,				__A			)

      __A    =(key_size, e_a, e_a, p)
      __A    =(key_size, d)

      return public_key, private_key





def      A__					(			__A  :						str     ,				__A  :						int			)					->None:
      if os.path.exists(F'''{name}_pubkey.txt'''			) or os.path.exists(F'''{name}_privkey.txt'''			):
            print('''\nWARNING:'''			)
            print(
                F'''"{name}_pubkey.txt" or "{name}_privkey.txt" already exists. \n'''
                '''Use a different name or delete these files and re-run this program.'''			)
            sys.exit()

      __A    ,		__A    =generate_key(__A			)
      print(F'''\nWriting public key to file {name}_pubkey.txt...'''			)
      with open(F'''{name}_pubkey.txt'''     ,				'''w'''			) as fo:
            fo.write(F'''{public_key[0]},{public_key[1]},{public_key[2]},{public_key[3]}'''			)

      print(F'''Writing private key to file {name}_privkey.txt...'''			)
      with open(F'''{name}_privkey.txt'''     ,				'''w'''			) as fo:
            fo.write(F'''{private_key[0]},{private_key[1]}'''			)





def      A__					(			)					->None:
      print('''Making key files...'''			)
      make_key_files('''elgamal'''     ,				20_48			)
      print('''Key files generation successful'''			)


if __name__ == "__main__":
   main()





from collections import deque





def      A__					(			__A  :						Optional[Any]			)					->Tuple:
      __A    =len(__A			)
      __A    =deque()
      __A    =[False for _ in range(__A			)]
      __A    =[-1 for _ in range(__A			)]
      __A    =index_of[:]

      def strong_connect(__A  :						Union[str, Any]     ,				__A  :						int     ,				__A  :						Optional[int]			):
            __A    =index  # the number when this node is seen
            __A    =index  # lowest rank node reachable from here
            index += 1
            stack.append(__A			)
            __A    =True

            for w in g[v]:
                  if index_of[w] == -1:
                        __A    =strong_connect(__A     ,				__A     ,				__A			)
                        __A    =(
                            lowlink_of[w] if lowlink_of[w] < lowlink_of[v] else lowlink_of[v]
                        )
                  elif on_stack[w]:
                        __A    =(
                            lowlink_of[w] if lowlink_of[w] < lowlink_of[v] else lowlink_of[v]
                        )

            if lowlink_of[v] == index_of[v]:
                  __A    =[]
                  __A    =stack.pop()
                  __A    =False
                  component.append(__A			)
                  while w != v:
                        __A    =stack.pop()
                        __A    =False
                        component.append(__A			)
                  components.append(__A			)
            return index

      __A    =[]
      for v in range(__A			):
            if index_of[v] == -1:
                  strong_connect(__A     ,				0     ,				__A			)

      return components





def      A__					(			__A  :						List[Any]     ,				__A  :						Optional[int]			)					->Tuple:
      __A    =[[] for _ in range(__A			)]
      for u, v in edges:
            g[u].append(__A			)
      return g


if __name__ == "__main__":
   # Test
   _lowerCamelCase      :					int					    =      7
   _lowerCamelCase      :					Tuple					    =      [0, 0, 1, 2, 3, 3, 4, 4, 6]
   _lowerCamelCase      :					Dict					    =      [1, 3, 2, 0, 1, 4, 5, 6, 5]
   _lowerCamelCase      :					Optional[Any]					    =      [(u, v) for u, v in zip(source, target)]
   _lowerCamelCase      :					Dict					    =      create_graph(n_vertices, edges)

   assert [[5], [6], [4], [3, 2, 1, 0]] == tarjan(g)


