
"""simple docstring"""


from random import randint
from tempfile import TemporaryFile

import numpy as np




def  _lowercase					(    __lowerCAmelCase  ,					__lowerCAmelCase  ,					__lowerCAmelCase							)       ->				int:
      SCREAMING_SNAKE_CASE__   :      Optional[int]      		=	0
      if start < end:
            SCREAMING_SNAKE_CASE__   :      Any      		=	randint(__lowerCAmelCase  ,					__lowerCAmelCase							)
            SCREAMING_SNAKE_CASE__   :      List[Any]      		=	a[end]
            SCREAMING_SNAKE_CASE__   :      int      		=	a[pivot]
            SCREAMING_SNAKE_CASE__   :      Optional[Any]      		=	temp

            SCREAMING_SNAKE_CASE__   :      Tuple      		=	_in_place_partition(__lowerCAmelCase  ,					__lowerCAmelCase  ,					__lowerCAmelCase							)
            count += _in_place_quick_sort(__lowerCAmelCase  ,					__lowerCAmelCase  ,					p - 1							)
            count += _in_place_quick_sort(__lowerCAmelCase  ,					p + 1  ,					__lowerCAmelCase							)
      return count




def  _lowercase					(    __lowerCAmelCase  ,					__lowerCAmelCase  ,					__lowerCAmelCase							)       ->				Any:
      SCREAMING_SNAKE_CASE__   :      Tuple      		=	0
      SCREAMING_SNAKE_CASE__   :      str      		=	randint(__lowerCAmelCase  ,					__lowerCAmelCase							)
      SCREAMING_SNAKE_CASE__   :      Optional[int]      		=	a[end]
      SCREAMING_SNAKE_CASE__   :      Tuple      		=	a[pivot]
      SCREAMING_SNAKE_CASE__   :      Union[str, Any]      		=	temp
      SCREAMING_SNAKE_CASE__   :      Any      		=	start - 1
      for index in range(__lowerCAmelCase  ,					__lowerCAmelCase							):
            count += 1
            if a[index] < a[end]:  # check if current val is less than pivot value
                  SCREAMING_SNAKE_CASE__   :      Union[str, Any]      		=	new_pivot_index + 1
                  SCREAMING_SNAKE_CASE__   :      Any      		=	a[new_pivot_index]
                  SCREAMING_SNAKE_CASE__   :      List[str]      		=	a[index]
                  SCREAMING_SNAKE_CASE__   :      Optional[Any]      		=	temp

      SCREAMING_SNAKE_CASE__   :      Tuple      		=	a[new_pivot_index + 1]
      SCREAMING_SNAKE_CASE__   :      int      		=	a[end]
      SCREAMING_SNAKE_CASE__   :      int      		=	temp
      return new_pivot_index + 1, count


a					:Tuple    = TemporaryFile()
a					:Tuple    = 100  # 1000 elements are to be sorted


a					:int    = 0, 1  # mean and standard deviation
a					:Any    = np.random.normal(mu, sigma, p)
np.save(outfile, X)
print("The array is")
print(X)


outfile.seek(0)  # using the same array
a					:Any    = np.load(outfile)
a					:Optional[int]    = len(M) - 1
a					:Dict    = _in_place_quick_sort(M, 0, r)

print(
    "No of Comparisons for 100 elements selected from a standard normal distribution"
    "is :"
)



print(z)







"""simple docstring"""


def  _lowercase					(    __lowerCAmelCase							)       ->				int:
      if divisor % 5 == 0 or divisor % 2 == 0:
            return 0
      SCREAMING_SNAKE_CASE__   :      List[Any]      		=	1
      SCREAMING_SNAKE_CASE__   :      int      		=	1
      while repunit:
            SCREAMING_SNAKE_CASE__   :      str      		=	(10 * repunit + 1) % divisor
            repunit_index += 1
      return repunit_index




def  _lowercase					(    __lowerCAmelCase = 100_0000							)       ->				int:
      SCREAMING_SNAKE_CASE__   :      Dict      		=	limit - 1
      if divisor % 2 == 0:
            divisor += 1
      while least_divisible_repunit(__lowerCAmelCase							) <= limit:
            divisor += 2
      return divisor


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




