




'''simple docstring'''

from string import ascii_uppercase

a       :						str								=		{str(ord(c) - 55): c for c in ascii_uppercase}


def __UpperCAmelCase	(   _UpperCAmelCase		:   int		,				_UpperCAmelCase		:   int						)      ->      str:
			if isinstance(_UpperCAmelCase		,				_UpperCAmelCase						):
						raise TypeError("int() can't convert non-string with explicit base"						)
			if num < 0:
						raise ValueError("parameter must be positive int"						)
			if isinstance(_UpperCAmelCase		,				_UpperCAmelCase						):
						raise TypeError("'str' object cannot be interpreted as an integer"						)
			if isinstance(_UpperCAmelCase		,				_UpperCAmelCase						):
						raise TypeError("'float' object cannot be interpreted as an integer"						)
			if base in (0, 1):
						raise ValueError("base must be >= 2"						)
			if base > 36:
						raise ValueError("base must be <= 36"						)
			__snake_case			=		""
			__snake_case			=		0
			__snake_case			=		0
			while div != 1:
						__snake_case		,     __snake_case			=		divmod(_UpperCAmelCase		,				_UpperCAmelCase						)
						if base >= 11 and 9 < mod < 36:
									__snake_case			=		ALPHABET_VALUES[str(_UpperCAmelCase						)]
						else:
									__snake_case			=		str(_UpperCAmelCase						)
						new_value += actual_value
						__snake_case			=		num // base
						__snake_case			=		div
						if div == 0:
									return str(new_value[::-1]						)
						elif div == 1:
									new_value += str(_UpperCAmelCase						)
									return str(new_value[::-1]						)

			return new_value[::-1]


if __name__ == "__main__":
						import doctest

						doctest.testmod()

						for base in range(2, 37):
												for num in range(1_000):
																		assert int(decimal_to_any(num, base), base) == num, (
																		    num,
																		    base,
																		    decimal_to_any(num, base),
																		    int(decimal_to_any(num, base), base),
																		)













"""simple docstring"""





from random import randint
from tempfile import TemporaryFile

import numpy as np



def   a    (     __UpperCAmelCase      :    Optional[Any]      ,   __UpperCAmelCase      :    Optional[int]      ,   __UpperCAmelCase      :    Optional[int]  )    ->							int:
						__magic_name__:	Optional[int]							=       0
						if start < end:
												__magic_name__:	Union[str, Any]							=       randint(__UpperCAmelCase      ,   __UpperCAmelCase  )
												__magic_name__:	int							=       a[end]
												__magic_name__:	Optional[int]							=       a[pivot]
												__magic_name__:	Tuple							=       temp

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

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



