




'''simple docstring'''







def 						snake_case_							(_a	:							int = 6_0_0_8_5_1_4_7_5_1_4_3     ):

    try:
        UpperCAmelCase			       =		int(__a     )
    except (TypeError, ValueError):
        raise TypeError('''Parameter n must be int or castable to int.'''     )
    if n <= 0:
        raise ValueError('''Parameter n must be greater than or equal to one.'''     )
    UpperCAmelCase			       =		1
    UpperCAmelCase			       =		2
    while i * i <= n:
        while n % i == 0:
            UpperCAmelCase			       =		i
            n //= i
        i += 1
    if n > 1:
        UpperCAmelCase			       =		n
    return int(__a     )


if __name__ == "__main__":
   print(f"""{solution() = }""")






'''simple docstring'''







from __future__ import annotations

from random import choice





def 					UpperCAmelCase_		(__a      :    str ):






   """simple docstring"""

   return choice(__a )





def 					UpperCAmelCase_		(__a      :    list[int] ,	__a      :    int ):






   """simple docstring"""

   _a				:	Dict			=   random_pivot(__a )

   # partition based on pivot
   # linear time
   _a				:	Optional[int]			=   [e for e in lst if e < pivot]
   _a				:	List[str]			=   [e for e in lst if e > pivot]

   # if we get lucky, pivot might be the element we want.
   # we can easily see this:
   # small (elements smaller than k)
   # + pivot (kth element)
   # + big (elements larger than k)
   if len(__a ) == k - 1:
      return pivot
   # pivot is in elements bigger than k
   elif len(__a ) < k - 1:
      return kth_number(__a ,	k - len(__a ) - 1 )
   # pivot is in elements smaller than k
   else:
      return kth_number(__a ,	__a )


if __name__ == "__main__":
  import doctest

  doctest.testmod()



