


"""simple docstring"""
import os
import random
import sys

from . import cryptomath_module as cryptoMath  # noqa: N812
from . import rabin_miller as rabinMiller  # noqa: N812







def 						_a				(      )    ->				None:
							print("""Making key files..."""				)
							make_key_files("""rsa"""				, 1_024				)
							print("""Key files generation successful."""				)







def 						_a				(      _SCREAMING_SNAKE_CASE				)    ->				tuple[tuple[int, int], tuple[int, int]]:
							print("""Generating prime p..."""				)
							snake_case_           =		rabinMiller.generate_large_prime(_SCREAMING_SNAKE_CASE				)
							print("""Generating prime q..."""				)
							snake_case_           =		rabinMiller.generate_large_prime(_SCREAMING_SNAKE_CASE				)
							snake_case_           =		p * q

							print("""Generating e that is relatively prime to (p - 1) * (q - 1)..."""				)
							while True:
														snake_case_           =		random.randrange(2 ** (key_size - 1)				, 2 ** (key_size)				)
														if cryptoMath.gcd(_SCREAMING_SNAKE_CASE				, (p - 1) * (q - 1)				) == 1:
																					break

							print("""Calculating d that is mod inverse of e..."""				)
							snake_case_           =		cryptoMath.find_mod_inverse(_SCREAMING_SNAKE_CASE				, (p - 1) * (q - 1)				)

							snake_case_           =		(n, e)
							snake_case_           =		(n, d)
							return (public_key, private_key)







def 						_a				(      _SCREAMING_SNAKE_CASE				, _SCREAMING_SNAKE_CASE				)    ->				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()

							snake_case_       ,						snake_case_           =		generate_key(_SCREAMING_SNAKE_CASE				)
							print(f"""\nWriting public key to file {name}_pubkey.txt..."""				)
							with open(f"""{name}_pubkey.txt"""				, """w"""				) as out_file:
														out_file.write(f"""{key_size},{public_key[0]},{public_key[1]}"""				)

							print(f"""Writing private key to file {name}_privkey.txt..."""				)
							with open(f"""{name}_privkey.txt"""				, """w"""				) as out_file:
														out_file.write(f"""{key_size},{private_key[0]},{private_key[1]}"""				)


if __name__ == "__main__":
				main()







"""simple docstring"""
from math import factorial







def 						_a				(      _SCREAMING_SNAKE_CASE = 100				)    ->				int:
							return sum(int(_SCREAMING_SNAKE_CASE				) for x in str(factorial(_SCREAMING_SNAKE_CASE				)				)				)


if __name__ == "__main__":
				print(solution(int(input('Enter the Number: ').strip())))



