






"""simple docstring"""
from __future__ import annotations

import math
import random






def        lowerCamelCase_  (						_lowerCamelCase			,   _lowerCamelCase			,   _lowerCamelCase				):
 lowerCamelCase__     :			str     				=						d * e - 1
 lowerCamelCase__     :			List[str]     				=						0
 lowerCamelCase__     :			Any     				=						0
 while p == 0:
  lowerCamelCase__     :			List[Any]     				=						random.randint(2			,   n - 1				)
  lowerCamelCase__     :			Union[str, Any]     				=						k
  while True:
   if t % 2 == 0:
    lowerCamelCase__     :			Optional[Any]     				=						t // 2
    lowerCamelCase__     :			str     				=						(g**t) % n
    lowerCamelCase__     :			str     				=						math.gcd(x - 1			,   _lowerCamelCase				)
    if x > 1 and y > 1:
     lowerCamelCase__     :			Tuple     				=						y
     lowerCamelCase__     :			List[Any]     				=						n // y
     break  # find the correct factors
   else:
    break  # t is not divisible by 2, break and choose another g
 return sorted([p, q]				)


if __name__ == "__main__":
      import doctest

      doctest.testmod()









"""simple docstring"""
def        lowerCamelCase_  (						_lowerCamelCase				):
 lowerCamelCase__     :			int     				=						5381
 for x in s:
  lowerCamelCase__     :			Union[str, Any]     				=						((hash_value << 5) + hash_value) + ord(_lowerCamelCase				)
 return hash_value & 0Xffffffff

