#!/usr/bin/env nix-shell
#!nix-shell -i sage -p sage

from sage.all import *
import time
import sys

c = 8533139361076999596208540806559574687666062896040360148742851107661304651861689
n = 769457290801263793712740792519696786147248001937382943813345728685422050738403253
e = 65537

if len(sys.argv) >= 2 and sys.argv[1] == 'CACHE':
  print('Using precalculated p & q')
  p = 1617549722683965197900599011412144490161
  q = 475693130177488446807040098678772442581573
else:
  print('Factorizing N')
  # Takes about 7-8 minutes on my own pc
  start = time.time()
  factorization = ZZ(n).factor(algorithm='qsieve')
  stop = time.time()
  print(f"Took: {stop - start}")

  p, q = [x[0] for x in list(factorization)]

phi = (p - 1) * (q - 1)
d = inverse_mod(e, phi)
m = power_mod(c, d, n)

print(m.to_bytes((m.bit_length() + 7) // 8, 'big').decode())