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

import numpy as np







def 						__a   (	_SCREAMING_SNAKE_CASE		,     _SCREAMING_SNAKE_CASE		,     _SCREAMING_SNAKE_CASE   )	->int:
  a__:     Tuple										=	0
  if start < end:
    a__:     Dict										=	randint(_SCREAMING_SNAKE_CASE		,     _SCREAMING_SNAKE_CASE   )
    a__:     Tuple										=	a[end]
    a__:     int										=	a[pivot]
    a__:     Union[str, Any]										=	temp

    a__							,    a__:     Dict										=	_in_place_partition(_SCREAMING_SNAKE_CASE		,     _SCREAMING_SNAKE_CASE		,     _SCREAMING_SNAKE_CASE   )
    count += _in_place_quick_sort(_SCREAMING_SNAKE_CASE		,     _SCREAMING_SNAKE_CASE		,     p - 1   )
    count += _in_place_quick_sort(_SCREAMING_SNAKE_CASE		,     p + 1		,     _SCREAMING_SNAKE_CASE   )
  return count







def 						__a   (	_SCREAMING_SNAKE_CASE		,     _SCREAMING_SNAKE_CASE		,     _SCREAMING_SNAKE_CASE   )	->int:
  a__:     Tuple										=	0
  a__:     Optional[int]										=	randint(_SCREAMING_SNAKE_CASE		,     _SCREAMING_SNAKE_CASE   )
  a__:     Tuple										=	a[end]
  a__:     Any										=	a[pivot]
  a__:     Optional[int]										=	temp
  a__:     Tuple										=	start - 1
  for index in range(_SCREAMING_SNAKE_CASE		,     _SCREAMING_SNAKE_CASE   ):
    count += 1
    if a[index] < a[end]:  # check if current val is less than pivot value
      a__:     Dict										=	new_pivot_index + 1
      a__:     Optional[int]										=	a[new_pivot_index]
      a__:     List[Any]										=	a[index]
      a__:     Any										=	temp

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


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


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


outfile.seek(0)  # using the same array
lowercase__					       =	np.load(outfile)
lowercase__					       =	len(M) - 1
lowercase__					       =	_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 math import pow, sqrt







def 						__a   (	*_SCREAMING_SNAKE_CASE   )	->bool:
  a__:     Union[str, Any]										=	len(_SCREAMING_SNAKE_CASE   ) > 0 and all(value > 0.0 for value in values   )
  return result







def 						__a   (	_SCREAMING_SNAKE_CASE		,     _SCREAMING_SNAKE_CASE   )	->float | ValueError:
  return (
      round(sqrt(molar_mass_a / molar_mass_a   )		,     6   )
      if validate(_SCREAMING_SNAKE_CASE		,     _SCREAMING_SNAKE_CASE   )
      else ValueError('Input Error: Molar mass values must greater than 0.'   )
  )







def 						__a   (	_SCREAMING_SNAKE_CASE		,     _SCREAMING_SNAKE_CASE		,     _SCREAMING_SNAKE_CASE   )	->float | ValueError:
  return (
      round(effusion_rate * sqrt(molar_mass_a / molar_mass_a   )		,     6   )
      if validate(_SCREAMING_SNAKE_CASE		,     _SCREAMING_SNAKE_CASE		,     _SCREAMING_SNAKE_CASE   )
      else ValueError(
          'Input Error: Molar mass and effusion rate values must greater than 0.'   )
  )







def 						__a   (	_SCREAMING_SNAKE_CASE		,     _SCREAMING_SNAKE_CASE		,     _SCREAMING_SNAKE_CASE   )	->float | ValueError:
  return (
      round(effusion_rate / sqrt(molar_mass_a / molar_mass_a   )		,     6   )
      if validate(_SCREAMING_SNAKE_CASE		,     _SCREAMING_SNAKE_CASE		,     _SCREAMING_SNAKE_CASE   )
      else ValueError(
          'Input Error: Molar mass and effusion rate values must greater than 0.'   )
  )







def 						__a   (	_SCREAMING_SNAKE_CASE		,     _SCREAMING_SNAKE_CASE		,     _SCREAMING_SNAKE_CASE   )	->float | ValueError:
  return (
      round(molar_mass / pow(effusion_rate_a / effusion_rate_a		,     2   )		,     6   )
      if validate(_SCREAMING_SNAKE_CASE		,     _SCREAMING_SNAKE_CASE		,     _SCREAMING_SNAKE_CASE   )
      else ValueError(
          'Input Error: Molar mass and effusion rate values must greater than 0.'   )
  )







def 						__a   (	_SCREAMING_SNAKE_CASE		,     _SCREAMING_SNAKE_CASE		,     _SCREAMING_SNAKE_CASE   )	->float | ValueError:
  return (
      round(pow(effusion_rate_a / effusion_rate_a		,     2   ) / molar_mass		,     6   )
      if validate(_SCREAMING_SNAKE_CASE		,     _SCREAMING_SNAKE_CASE		,     _SCREAMING_SNAKE_CASE   )
      else ValueError(
          'Input Error: Molar mass and effusion rate values must greater than 0.'   )
  )


