






"""simple docstring"""





from random import randint
from tempfile import TemporaryFile

import numpy as np



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

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

						__magic_name__:	List[Any]							=       a[new_pivot_index + 1]
						__magic_name__:	Union[str, Any]							=       a[end]
						__magic_name__:	Dict							=       temp
						return new_pivot_index + 1, count


__lowerCamelCase							=  TemporaryFile()
__lowerCamelCase							=  1_00  # 1000 elements are to be sorted


__lowerCamelCase		,					__lowerCamelCase							=  0, 1  # mean and standard deviation
__lowerCamelCase							=  np.random.normal(mu, sigma, p)
np.save(outfile, X)
print('The array is')
print(X)


outfile.seek(0)  # using the same array
__lowerCamelCase							=  np.load(outfile)
__lowerCamelCase							=  len(M) - 1
__lowerCamelCase							=  _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   a    (     __UpperCAmelCase      :    int      ,   __UpperCAmelCase      :    int  )    ->							int:
						while b:
												__magic_name__,			__magic_name__:	Optional[int]							=       b, a % b
						return a



def   a    (     __UpperCAmelCase      :    int      ,   __UpperCAmelCase      :    int  )    ->							int:
						return a if b == 0 else euclidean_gcd_recursive(__UpperCAmelCase      ,   a % b  )



def   a    (     )    ->							List[Any]:
						print(f'euclidean_gcd(3, 5) = {euclidean_gcd(3      ,   5  )}'  )
						print(f'euclidean_gcd(5, 3) = {euclidean_gcd(5      ,   3  )}'  )
						print(f'euclidean_gcd(1, 3) = {euclidean_gcd(1      ,   3  )}'  )
						print(f'euclidean_gcd(3, 6) = {euclidean_gcd(3      ,   6  )}'  )
						print(f'euclidean_gcd(6, 3) = {euclidean_gcd(6      ,   3  )}'  )

						print(f'euclidean_gcd_recursive(3, 5) = {euclidean_gcd_recursive(3      ,   5  )}'  )
						print(f'euclidean_gcd_recursive(5, 3) = {euclidean_gcd_recursive(5      ,   3  )}'  )
						print(f'euclidean_gcd_recursive(1, 3) = {euclidean_gcd_recursive(1      ,   3  )}'  )
						print(f'euclidean_gcd_recursive(3, 6) = {euclidean_gcd_recursive(3      ,   6  )}'  )
						print(f'euclidean_gcd_recursive(6, 3) = {euclidean_gcd_recursive(6      ,   3  )}'  )


if __name__ == "__main__":
							main()



