


from random import randint
from tempfile import TemporaryFile

import numpy as np
def 				UpperCAmelCase_					(							__snake_case     ,						__snake_case     ,						__snake_case						)     ->			Dict:







 """simple docstring"""


 _lowercase							      =0
 if start < end:
  _lowercase							      =randint(__snake_case     ,						__snake_case						)
  _lowercase							      =a[end]
  _lowercase							      =a[pivot]
  _lowercase							      =temp

  _lowercase      ,    _lowercase							      =_in_place_partition(__snake_case     ,						__snake_case     ,						__snake_case						)
  count += _in_place_quick_sort(__snake_case     ,						__snake_case     ,						p - 1						)
  count += _in_place_quick_sort(__snake_case     ,						p + 1     ,						__snake_case						)
 return count
def 				UpperCAmelCase_					(							__snake_case     ,						__snake_case     ,						__snake_case						)     ->			Union[str, Any]:







 """simple docstring"""


 _lowercase							      =0
 _lowercase							      =randint(__snake_case     ,						__snake_case						)
 _lowercase							      =a[end]
 _lowercase							      =a[pivot]
 _lowercase							      =temp
 _lowercase							      =start - 1
 for index in range(__snake_case     ,						__snake_case						):
  count += 1
  if a[index] < a[end]:  # check if current val is less than pivot value
   _lowercase							      =new_pivot_index + 1
   _lowercase							      =a[new_pivot_index]
   _lowercase							      =a[index]
   _lowercase							      =temp

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


UpperCAmelCase__   	=							TemporaryFile()
UpperCAmelCase__   	=							100  # 1000 elements are to be sorted


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


outfile.seek(0)  # using the same array
UpperCAmelCase__   	=							np.load(outfile)
UpperCAmelCase__   	=							len(M) - 1
UpperCAmelCase__   	=							_in_place_quick_sort(M, 0, r)

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



print(z)



from functools import lru_cache



@lru_cache
def        UpperCamelCase    (							lowerCAmelCase__		):
					'''simple docstring'''
					if num < 0:
										raise ValueError('''Number should not be negative.'''		)

					return 1 if num in (0, 1) else num * factorial(num - 1		)


if __name__ == "__main__":
							import doctest

							doctest.testmod()




