


from random import randint
from tempfile import TemporaryFile

import numpy as np




def    snake_case_     (  snake_case			,							snake_case			,							snake_case     )  ->				Optional[Any]:
       lowercase__:   Tuple  			=   0
       if start < end:
              lowercase__:   str  			=   randint(snake_case			,							snake_case     )
              lowercase__:   Tuple  			=   a[end]
              lowercase__:   List[str]  			=   a[pivot]
              lowercase__:   List[str]  			=   temp

              lowercase__			,						lowercase__:   List[str]  			=   _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			,							snake_case			,							snake_case     )  ->				Tuple:
       lowercase__:   Tuple  			=   0
       lowercase__:   List[str]  			=   randint(snake_case			,							snake_case     )
       lowercase__:   List[Any]  			=   a[end]
       lowercase__:   Optional[Any]  			=   a[pivot]
       lowercase__:   Union[str, Any]  			=   temp
       lowercase__:   Optional[Any]  			=   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__:   str  			=   new_pivot_index + 1
                     lowercase__:   Optional[Any]  			=   a[new_pivot_index]
                     lowercase__:   Any  			=   a[index]
                     lowercase__:   List[str]  			=   temp

       lowercase__:   List[Any]  			=   a[new_pivot_index + 1]
       lowercase__:   Any  			=   a[end]
       lowercase__:   Union[str, Any]  			=   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)






from __future__ import annotations




def    snake_case_     (  snake_case			,							snake_case     )  ->				bool:
       if len(snake_case     ) == 0:
              return False
       lowercase__:   Any  			=   len(snake_case     ) // 2
       if a_list[midpoint] == item:
              return True
       if item < a_list[midpoint]:
              return binary_search(a_list[:midpoint]			,							snake_case     )
       else:
              return binary_search(a_list[midpoint + 1 :]			,							snake_case     )


if __name__ == "__main__":
 __lowerCAmelCase		       =							input('''Enter numbers separated by comma:\n''').strip()
 __lowerCAmelCase		       =							[int(item.strip()) for item in user_input.split(''',''')]
 __lowerCAmelCase		       =							int(input('''Enter the number to be found in the list:\n''').strip())
 __lowerCAmelCase		       =							'''''' if binary_search(sequence, target) else '''not '''
 print(F'''{target} was {not_str}found in {sequence}''')


