

from __future__ import annotations

def 			lowerCamelCase__			(       _a):
	SCREAMING_SNAKE_CASE :   Dict					  =							[True] * limit
	SCREAMING_SNAKE_CASE :   Union[str, Any]					  =							False
	SCREAMING_SNAKE_CASE :   Optional[int]					  =							False
	SCREAMING_SNAKE_CASE :   Any					  =							True

	for i in range(3				,      int(limit**0.5 + 1)				,      2):
		SCREAMING_SNAKE_CASE :   List[str]					  =							i * 2
		while index < limit:
			SCREAMING_SNAKE_CASE :   List[str]					  =							False
			SCREAMING_SNAKE_CASE :   Dict					  =							index + i

	SCREAMING_SNAKE_CASE :   List[Any]					  =							[2]

	for i in range(3				,      _a				,      2):
		if is_prime[i]:
			primes.append(_a)

	return primes

def 			lowerCamelCase__			(       _a = 1000000):
	SCREAMING_SNAKE_CASE :   List[Any]					  =							prime_sieve(_a)
	SCREAMING_SNAKE_CASE :   Tuple					  =							0
	SCREAMING_SNAKE_CASE :   List[str]					  =							0

	for i in range(len(_a)):
		for j in range(i + length				,      len(_a)):
			SCREAMING_SNAKE_CASE :   Tuple					  =							sum(primes[i:j])
			if sol >= ceiling:
				break

			if sol in primes:
				SCREAMING_SNAKE_CASE :   Optional[Any]					  =							j - i
				SCREAMING_SNAKE_CASE :   int					  =							sol

	return largest


if __name__ == "__main__":
			print(F'''{solution() = }''')







"""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)



