
from random import randint
from tempfile import TemporaryFile

import numpy as np


def      UpperCamelCase   (       __lowerCamelCase	:					List[Any]							,   __lowerCamelCase	:					Any							,   __lowerCamelCase	:					str       ):
       snake_case			:  List[Any]     							= 0
       if start < end:
              snake_case			:  Optional[int]     							= randint(__lowerCamelCase							,   __lowerCamelCase       )
              snake_case			:  List[Any]     							= a[end]
              snake_case			:  List[Any]     							= a[pivot]
              snake_case			:  str     							= temp

              snake_case							,   snake_case			:  List[Any]     							= _in_place_partition(__lowerCamelCase							,   __lowerCamelCase							,   __lowerCamelCase       )
              count += _in_place_quick_sort(__lowerCamelCase							,   __lowerCamelCase							,   p - 1       )
              count += _in_place_quick_sort(__lowerCamelCase							,   p + 1							,   __lowerCamelCase       )
       return count


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

       snake_case			:  Dict     							= a[new_pivot_index + 1]
       snake_case			:  Dict     							= a[end]
       snake_case			:  int     							= 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)







def      UpperCamelCase   (       __lowerCamelCase	:					int = 1							,   __lowerCamelCase	:					int = 1000       ):
       snake_case			:  int     							= 1
       snake_case			:  int     							= 0

       for divide_by_number in range(__lowerCamelCase							,   digit + 1       ):
              snake_case			:  list[int]     							= []
              snake_case			:  Optional[int]     							= numerator
              for _ in range(1							,   digit + 1       ):
                     if now_divide in has_been_divided:
                            if longest_list_length < len(__lowerCamelCase       ):
                                   snake_case			:  List[Any]     							= len(__lowerCamelCase       )
                                   snake_case			:  List[str]     							= divide_by_number
                     else:
                            has_been_divided.append(__lowerCamelCase       )
                            snake_case			:  Any     							= now_divide * 10 % divide_by_number

       return the_digit


# Tests
if __name__ == "__main__":
   import doctest

   doctest.testmod()





