






import os
import random
import sys

from . import cryptomath_module as cryptomath
from . import rabin_miller

SCREAMING_SNAKE_CASE__				     =			3

def        UpperCAmelCase__		(						lowerCamelCase_       :       int				):
			print('Generating primitive root of p'				)
			while True:
						__a						:  int									=     random.randrange(3   ,  lowerCamelCase_				)
						if pow(lowerCamelCase_   ,  2   ,  lowerCamelCase_				) == 1:
									continue
						if pow(lowerCamelCase_   ,  lowerCamelCase_   ,  lowerCamelCase_				) == 1:
									continue
						return g

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

			__a						:  List[str]									=     (key_size, e_a, e_a, p)
			__a						:  List[Any]									=     (key_size, d)

			return public_key, private_key

def        UpperCAmelCase__		(						lowerCamelCase_       :       str   ,  lowerCamelCase_       :       int				):
			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						:  Dict									=     generate_key(lowerCamelCase_				)
			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        UpperCAmelCase__		(						):
			print('Making key files...'				)
			make_key_files('elgamal'   ,  2_0_4_8				)
			print('Key files generation successful'				)


if __name__ == "__main__":
							main()










def 	_lowerCAmelCase (    A__ = 50_000_000						):
      lowercase__  =	set()
      lowercase__  =	int((limit - 24) ** (1 / 2)						)

      lowercase__  =	set(range(3    ,	prime_square_limit + 1    ,	2						)						)
      primes.add(2						)
      for p in range(3    ,	prime_square_limit + 1    ,	2						):
            if p not in primes:
                  continue
            primes.difference_update(set(range(p * p    ,	prime_square_limit + 1    ,	A__						)						)						)

      for primea in primes:
            lowercase__  =	primea * primea
            for primea in primes:
                  lowercase__  =	primea * primea * primea
                  if square + cube >= limit - 16:
                        break
                  for primea in primes:
                        lowercase__  =	primea * primea * primea * primea
                        lowercase__  =	square + cube + tetr
                        if total >= limit:
                              break
                        ret.add(A__						)

      return len(A__						)


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