






"""simple docstring"""





import os
import random
import sys

from . import cryptomath_module as cryptomath
from . import rabin_miller

__lowerCamelCase							=  3



def   a    (     __UpperCAmelCase      :    List[Any]  )    ->							int:
						print("""Generating primitive root of p"""  )
						while True:
												__magic_name__:	Dict							=       random.randrange(3      ,   __lowerCamelCase  )
												if pow(__lowerCamelCase      ,   2      ,   __lowerCamelCase  ) == 1:
																		continue
												if pow(__lowerCamelCase      ,   __lowerCamelCase      ,   __lowerCamelCase  ) == 1:
																		continue
												return g



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

						__magic_name__:	Optional[Any]							=       (key_size, e_a, e_a, p)
						__magic_name__:	Any							=       (key_size, d)

						return public_key, private_key



def   a    (     __UpperCAmelCase      :    Tuple      ,   __UpperCAmelCase      :    Optional[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()

						__magic_name__,			__magic_name__:	Optional[Any]							=       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   a    (     )    ->							None:
						print("""Making key files..."""  )
						make_key_files("""elgamal"""      ,   2_0_4_8  )
						print("""Key files generation successful"""  )


if __name__ == "__main__":
							main()









from bisect import bisect
from itertools import accumulate





def 						__A						(      __lowerCamelCase				,     __lowerCamelCase				,     __lowerCamelCase				,     __lowerCamelCase       ) ->			Dict:
	a									=				sorted(zip(__lowerCamelCase				,     __lowerCamelCase       )				,     key=lambda __lowerCamelCase       : x[0] / x[1]				,     reverse=__lowerCamelCase       )
	a							,					a									=				[i[0] for i in r], [i[1] for i in r]
	a									=				list(accumulate(__lowerCamelCase       )       )
	a									=				bisect(__lowerCamelCase				,     __lowerCamelCase       )
	return (
	    0
	    if k == 0
	    else sum(vl[:k]       ) + (w - acc[k - 1]) * (vl[k]) / (wt[k])
	    if k != n
	    else sum(vl[:k]       )
	)


if __name__ == "__main__":
		import doctest

		doctest.testmod()

