



"""simple docstring"""
from random import randint
from tempfile import TemporaryFile

import numpy as np



def 							lowerCAmelCase_( lowercase_  :				Tuple    , lowercase_  :				Union[str, Any]    , lowercase_  :				int				)						->							Dict:
				_lowerCamelCase   	=					0
				if start < end:
								_lowerCamelCase   	=					randint(__UpperCAmelCase    , __UpperCAmelCase				)
								_lowerCamelCase   	=					a[end]
								_lowerCamelCase   	=					a[pivot]
								_lowerCamelCase   	=					temp

								_lowerCamelCase	,  _lowerCamelCase   	=					_in_place_partition(__UpperCAmelCase    , __UpperCAmelCase    , __UpperCAmelCase				)
								count += _in_place_quick_sort(__UpperCAmelCase    , __UpperCAmelCase    , p - 1				)
								count += _in_place_quick_sort(__UpperCAmelCase    , p + 1    , __UpperCAmelCase				)
				return count



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

				_lowerCamelCase   	=					a[new_pivot_index + 1]
				_lowerCamelCase   	=					a[end]
				_lowerCamelCase   	=					temp
				return new_pivot_index + 1, count


__SCREAMING_SNAKE_CASE	:    List[Any]     				=   TemporaryFile()
__SCREAMING_SNAKE_CASE	:    Optional[Any]     				=   1_0_0  # 1000 elements are to be sorted


__SCREAMING_SNAKE_CASE	:    List[str]     				=   0, 1  # mean and standard deviation
__SCREAMING_SNAKE_CASE	:    Tuple     				=   np.random.normal(mu, sigma, p)
np.save(outfile, X)
print('''The array is''')
print(X)


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

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




print(z)






from __future__ import annotations

from collections.abc import Iterator





class 			lowerCamelCase_				:


 '''simple docstring'''







 def __init__(				self    :						Union[str, Any]							,							_lowerCAmelCase    :						int		):
       SCREAMING_SNAKE_CASE_      		=     value
       SCREAMING_SNAKE_CASE_      		=     None
       SCREAMING_SNAKE_CASE_      		=     None





class 			lowerCamelCase_				:


 '''simple docstring'''







 def __init__(				self    :						int							,							_lowerCAmelCase    :						Node		):
       SCREAMING_SNAKE_CASE_      		=     tree



 def  lowerCAmelCase_    (				self    :						Union[str, Any]							,							_lowerCAmelCase    :						Node | None		):
       if node is None:
             return 0
       return node.value + (
           self.depth_first_search(node.left		) + self.depth_first_search(node.right		)
       )




 def __iter__(				self    :						Dict		):
       yield self.depth_first_search(self.tree		)


if __name__ == "__main__":
   import doctest

   doctest.testmod()