


from random import randint
from tempfile import TemporaryFile

import numpy as np
def 							__lowerCamelCase		(					UpperCAmelCase_		:						int					,    UpperCAmelCase_		:						Any					,    UpperCAmelCase_		:						Tuple		):




      """simple docstring"""





      a		:int									=			0
      if start < end:
            a		:Optional[int]									=			randint(UpperCAmelCase_					,    UpperCAmelCase_		)
            a		:Dict									=			a[end]
            a		:Optional[int]									=			a[pivot]
            a		:int									=			temp

            a				,							a		:Optional[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 							__lowerCamelCase		(					UpperCAmelCase_		:						int					,    UpperCAmelCase_		:						str					,    UpperCAmelCase_		:						Optional[Any]		):




      """simple docstring"""





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

      a		:str									=			a[new_pivot_index + 1]
      a		:Optional[int]									=			a[end]
      a		:str									=			temp
      return new_pivot_index + 1, count


snake_case							:       Any										=	TemporaryFile()
snake_case							:       List[Any]										=	1_00  # 1000 elements are to be sorted


snake_case							,						snake_case							:       Any										=	0, 1  # mean and standard deviation
snake_case							:       Optional[int]										=	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							:       str										=	np.load(outfile)
snake_case							:       Optional[Any]										=	len(M) - 1
snake_case							:       int										=	_in_place_quick_sort(M, 0, r)

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






print(z)









def 							__lowerCamelCase		(					UpperCAmelCase_		:						int					,    UpperCAmelCase_		:						int		):




      """simple docstring"""





      if b == 0:
            return 1
      if (b % 2) == 0:
            return actual_power(UpperCAmelCase_					,    int(b / 2		)		) * actual_power(UpperCAmelCase_					,    int(b / 2		)		)
      else:
            return a * actual_power(UpperCAmelCase_					,    int(b / 2		)		) * actual_power(UpperCAmelCase_					,    int(b / 2		)		)
def 							__lowerCamelCase		(					UpperCAmelCase_		:						int					,    UpperCAmelCase_		:						int		):




      """simple docstring"""





      if b < 0:
            return 1 / actual_power(UpperCAmelCase_					,    UpperCAmelCase_		)
      return actual_power(UpperCAmelCase_					,    UpperCAmelCase_		)


if __name__ == "__main__":
     print(power(-2, -3))





