





'''simple docstring'''

from __future__ import annotations

import math
import random







def       a__       (       lowercase      :  int,      lowercase      :  int,      lowercase      :  int   )	->	list[int]:





     """simple docstring"""

     _UpperCamelCase       					= d * e - 1
     _UpperCamelCase       					= 0
     _UpperCamelCase       					= 0
     while p == 0:
          _UpperCamelCase       					= random.randint(2,      n - 1   )
          _UpperCamelCase       					= k
          while True:
               if t % 2 == 0:
                    _UpperCamelCase       					= t // 2
                    _UpperCamelCase       					= (g**t) % n
                    _UpperCamelCase       					= math.gcd(x - 1,      lowercase   )
                    if x > 1 and y > 1:
                         _UpperCamelCase       					= y
                         _UpperCamelCase       					= 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'''

from __future__ import annotations







def       a__       (       lowercase      :  list[int | float]   )	->	int | float:





     """simple docstring"""

     if len(lowercase   ) == 0:
          raise ValueError('''find_min() arg is an empty sequence'''   )
     _UpperCamelCase       					= nums[0]
     for num in nums:
          _UpperCamelCase       					= min(lowercase,      lowercase   )
     return min_num


if __name__ == "__main__":
   import doctest

   doctest.testmod(verbose=True)



