






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

import numpy as np





def 				lowercase__		(					lowerCamelCase,						lowerCamelCase,						lowerCamelCase       ):
				_SCREAMING_SNAKE_CASE   :		Optional[Any]       		=    0
				if start < end:
								_SCREAMING_SNAKE_CASE   :		Optional[int]       		=    randint(lowerCamelCase,						lowerCamelCase       )
								_SCREAMING_SNAKE_CASE   :		List[str]       		=    a[end]
								_SCREAMING_SNAKE_CASE   :		Optional[Any]       		=    a[pivot]
								_SCREAMING_SNAKE_CASE   :		List[Any]       		=    temp

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

				_SCREAMING_SNAKE_CASE   :		Dict       		=    a[new_pivot_index + 1]
				_SCREAMING_SNAKE_CASE   :		int       		=    a[end]
				_SCREAMING_SNAKE_CASE   :		List[Any]       		=    temp
				return new_pivot_index + 1, count


lowerCAmelCase__    						=			TemporaryFile()
lowerCAmelCase__    						=			100  # 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)









"""simple docstring"""
class _lowerCAmelCase						:







						def __init__(    self   ,				lowerCAmelCase_							)		->							None:
										_SCREAMING_SNAKE_CASE   :		Dict       		=    size
										_SCREAMING_SNAKE_CASE   :		str       		=    [0] * size
										_SCREAMING_SNAKE_CASE   :		Any       		=    [0] * size







						@staticmethod
						def 			A      (    lowerCAmelCase_							)		->							int:
										return index | (index + 1)







						@staticmethod
						def 			A      (    lowerCAmelCase_							)		->							int:
										return (index & (index + 1)) - 1







						def 			A      (    self   ,				lowerCAmelCase_   ,				lowerCAmelCase_							)		->							None:
										_SCREAMING_SNAKE_CASE   :		str       		=    value
										while index < self.size:
														_SCREAMING_SNAKE_CASE   :		List[str]       		=    self.get_prev(lowerCAmelCase_							) + 1
														if current_left_border == index:
																		_SCREAMING_SNAKE_CASE   :		List[str]       		=    value
														else:
																		_SCREAMING_SNAKE_CASE   :		Optional[Any]       		=    max(lowerCAmelCase_   ,				lowerCAmelCase_   ,				lowerCAmelCase_							)
														_SCREAMING_SNAKE_CASE   :		str       		=    self.get_next(lowerCAmelCase_							)







						def 			A      (    self   ,				lowerCAmelCase_   ,				lowerCAmelCase_							)		->							int:
										right -= 1  # Because of right is exclusive
										_SCREAMING_SNAKE_CASE   :		List[Any]       		=    0
										while left <= right:
														_SCREAMING_SNAKE_CASE   :		Union[str, Any]       		=    self.get_prev(lowerCAmelCase_							)
														if left <= current_left:
																		_SCREAMING_SNAKE_CASE   :		Union[str, Any]       		=    max(lowerCAmelCase_   ,				self.tree[right]							)
																		_SCREAMING_SNAKE_CASE   :		List[Any]       		=    current_left
														else:
																		_SCREAMING_SNAKE_CASE   :		List[str]       		=    max(lowerCAmelCase_   ,				self.arr[right]							)
																		right -= 1
										return result


if __name__ == "__main__":
			import doctest

			doctest.testmod()

