


"""simple docstring"""





from random import randint
from tempfile import TemporaryFile

import numpy as np


def    _snake_case  (  _snake_case :	List[Any]       ,      _snake_case :	Union[str, Any]       ,      _snake_case :	Union[str, Any]	):
      lowerCAmelCase    :		List[str]				=      0
      if start < end:
            lowerCAmelCase    :		Tuple				=      randint(_snake_case       ,      _snake_case	)
            lowerCAmelCase    :		Dict				=      a[end]
            lowerCAmelCase    :		Union[str, Any]				=      a[pivot]
            lowerCAmelCase    :		Tuple				=      temp

            lowerCAmelCase,					lowerCAmelCase    :		Optional[int]				=      _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    _snake_case  (  _snake_case :	Optional[int]       ,      _snake_case :	Union[str, Any]       ,      _snake_case :	Optional[int]	):
      lowerCAmelCase    :		Dict				=      0
      lowerCAmelCase    :		int				=      randint(_snake_case       ,      _snake_case	)
      lowerCAmelCase    :		str				=      a[end]
      lowerCAmelCase    :		Optional[int]				=      a[pivot]
      lowerCAmelCase    :		List[str]				=      temp
      lowerCAmelCase    :		str				=      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
                  lowerCAmelCase    :		Union[str, Any]				=      new_pivot_index + 1
                  lowerCAmelCase    :		Optional[int]				=      a[new_pivot_index]
                  lowerCAmelCase    :		Any				=      a[index]
                  lowerCAmelCase    :		Union[str, Any]				=      temp

      lowerCAmelCase    :		Optional[Any]				=      a[new_pivot_index + 1]
      lowerCAmelCase    :		List[str]				=      a[end]
      lowerCAmelCase    :		List[Any]				=      temp
      return new_pivot_index + 1, count


snake_case__						:   int			 = TemporaryFile()
snake_case__						:   List[Any]			 = 100  # 1000 elements are to be sorted


snake_case__ ,   snake_case__						:   Optional[int]			 = 0, 1  # mean and standard deviation
snake_case__						:   Dict			 = np.random.normal(mu, sigma, p)
np.save(outfile, X)
print('''The array is''')
print(X)


outfile.seek(0)  # using the same array
snake_case__						:   Dict			 = np.load(outfile)
snake_case__						:   Any			 = len(M) - 1
snake_case__						:   Optional[Any]			 = _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"""





import numpy as np


def    _snake_case  (  _snake_case :	np.array	):
      return 1 / (1 + np.exp(-vector	))


if __name__ == "__main__":
 import doctest

 doctest.testmod()


