

'''simple docstring'''

import os
import random
import sys

from . import cryptomath_module as cryptomath
from . import rabin_miller

A_       						=							3





def    A_  ( snake_case ):
  print("Generating primitive root of p" )
  while True:
    SCREAMING_SNAKE_CASE:int						      =					random.randrange(3      ,       snake_case )
    if pow(snake_case      ,       2      ,       snake_case ) == 1:
      continue
    if pow(snake_case      ,       snake_case      ,       snake_case ) == 1:
      continue
    return g





def    A_  ( snake_case ):
  print("Generating prime p..." )
  SCREAMING_SNAKE_CASE:Optional[int]						      =					rabin_miller.generate_large_prime(snake_case )  # select large prime number.
  SCREAMING_SNAKE_CASE:List[Any]						      =					primitive_root(snake_case )  # one primitive root on modulo p.
  SCREAMING_SNAKE_CASE:List[Any]						      =					random.randrange(3      ,       snake_case )  # private_key -> have to be greater than 2 for safety.
  SCREAMING_SNAKE_CASE:Optional[Any]						      =					cryptomath.find_mod_inverse(pow(snake_case      ,       snake_case      ,       snake_case )      ,       snake_case )

  SCREAMING_SNAKE_CASE:Union[str, Any]						      =					(key_size, e_a, e_a, p)
  SCREAMING_SNAKE_CASE:str						      =					(key_size, d)

  return public_key, private_key





def    A_  ( snake_case      ,       snake_case ):
  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()

  SCREAMING_SNAKE_CASE      ,    SCREAMING_SNAKE_CASE:Any						      =					generate_key(snake_case )
  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_  ( ):
  print("Making key files..." )
  make_key_files("elgamal"      ,       2048 )
  print("Key files generation successful" )


if __name__ == "__main__":
    main()









'''simple docstring'''

def    A_  ( snake_case = 100 ):
  SCREAMING_SNAKE_CASE:Dict						      =					0
  SCREAMING_SNAKE_CASE:Optional[int]						      =					0
  for i in range(1      ,       n + 1 ):
    sum_of_squares += i**2
    sum_of_ints += i
  return sum_of_ints**2 - sum_of_squares


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






