





"""simple docstring"""





import math
def  __A   (_SCREAMING_SNAKE_CASE			)					->List[Any]:





  """simple docstring"""


  if 1 < number < 4:
    # 2 and 3 are primes
    return True
  elif number < 2 or number % 2 == 0 or number % 3 == 0:
    # Negatives, 0, 1, all even numbers, all multiples of 3 are not primes
    return False

  # All primes number are in format of 6k +/- 1
  for i in range(5     ,   int(math.sqrt(A_			) + 1			)     ,   6			):
    if number % i == 0 or number % (i + 2) == 0:
      return False
  return True
def  __A   (_SCREAMING_SNAKE_CASE = 1_0001			)					->Tuple:





  """simple docstring"""


  try:
    lowerCAmelCase__			:List[Any]											=							int(A_			)
  except (TypeError, ValueError):
    raise TypeError('Parameter nth must be int or castable to int.'			) from None
  if nth <= 0:
    raise ValueError('Parameter nth must be greater than or equal to one.'			)
  lowerCAmelCase__			:list[int]											=							[]
  lowerCAmelCase__			:Any											=							2
  while len(A_			) < nth:
    if is_prime(A_			):
      primes.append(A_			)
      num += 1
    else:
      num += 1
  return primes[len(A_			) - 1]


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



"""simple docstring"""





import random

def   __SCREAMING_SNAKE_CASE  (      A_						,     A_ ):
	lowerCAmelCase__				,lowerCAmelCase__				,lowerCAmelCase__	:						Optional[int]  				=	[], [], []
	for element in data:
		if element < pivot:
			less.append(A_ )
		elif element > pivot:
			greater.append(A_ )
		else:
			equal.append(A_ )
	return less, equal, greater





def   __SCREAMING_SNAKE_CASE  (      A_						,     A_ ):
	# index = len(items) // 2 when trying to find the median
	#   (value of index when items is sorted)

	# invalid input
	if index >= len(A_ ) or index < 0:
		return None

	lowerCAmelCase__	:						str  				=	items[random.randint(0						,     len(A_ ) - 1 )]
	lowerCAmelCase__	:						Optional[Any]  				=	0
	lowerCAmelCase__				,lowerCAmelCase__				,lowerCAmelCase__	:						Any  				=	_partition(A_						,     A_ )
	lowerCAmelCase__	:						str  				=	len(A_ )
	lowerCAmelCase__	:						Optional[Any]  				=	len(A_ )

	# index is the pivot
	if m <= index < m + count:
		return pivot
	# must be in smaller
	elif m > index:
		return quick_select(A_						,     A_ )
	# must be in larger
	else:
		return quick_select(A_						,     index - (m + count) )




