
'''simple docstring'''

from random import randint
from tempfile import TemporaryFile

import numpy as np







def 	A  (   UpperCamelCase_       :  List[Any]    ,						UpperCamelCase_       :  int    ,						UpperCamelCase_       :  List[Any]   )       ->							Dict:







			'''simple docstring'''



			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 	A  (   UpperCamelCase_       :  Tuple    ,						UpperCamelCase_       :  List[str]    ,						UpperCamelCase_       :  Any   )       ->							Dict:







			'''simple docstring'''



			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


UpperCAmelCase__ :			Tuple											=		TemporaryFile()
UpperCAmelCase__ :			List[str]											=		1_00  # 1000 elements are to be sorted


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


outfile.seek(0)  # using the same array
UpperCAmelCase__ :			Optional[Any]											=		np.load(outfile)
UpperCAmelCase__ :			Any											=		len(M) - 1
UpperCAmelCase__ :			Tuple											=		_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'''
from __future__ import annotations

def 					lowerCamelCase_ ( __UpperCamelCase					:       list							,    __UpperCamelCase					:       int | None = None							,    __UpperCamelCase					:       int | None = None		)					->	None:







     """simple docstring"""
     if start is None:
          _A				=							0

     if end is None:
          _A				=							len(__UpperCamelCase		) - 1

     if start >= end:
          return

     _A				=							(start + end) // 2

     slowsort(__UpperCamelCase							,    __UpperCamelCase							,    __UpperCamelCase		)
     slowsort(__UpperCamelCase							,    mid + 1							,    __UpperCamelCase		)

     if sequence[end] < sequence[mid]:
          _A		,				_A				=							sequence[mid], sequence[end]

     slowsort(__UpperCamelCase							,    __UpperCamelCase							,    end - 1		)


if __name__ == "__main__":
    from doctest import testmod

    testmod()





