




from multiprocessing import Lock, Pipe, Process

# lock used to ensure that two processes do not access a pipe at the same time
SCREAMING_SNAKE_CASE:     int									= Lock()


def 					_a							(					lowerCAmelCase    ,						lowerCAmelCase    ,						lowerCAmelCase    ,						lowerCAmelCase    ,						lowerCAmelCase    ,						lowerCAmelCase    ,						lowerCAmelCase )->	str:
		global process_lock

		# we perform n swaps since after n swaps we know we are sorted
		# we *could* stop early if we are sorted already, but it takes as long to
		# find out we are sorted as it does to sort the list with this algorithm
		for i in range(0    ,						10 ):
				if (i + position) % 2 == 0 and r_send is not None:
						# send your value to your right neighbor
						process_lock.acquire()
						r_send[1].send(lowerCAmelCase )
						process_lock.release()

						# receive your right neighbor's value
						process_lock.acquire()
						SCREAMING_SNAKE_CASE_					      =							rr_cv[0].recv()
						process_lock.release()

						# take the lower value since you are on the left
						SCREAMING_SNAKE_CASE_					      =							min(lowerCAmelCase    ,						lowerCAmelCase )
				elif (i + position) % 2 != 0 and l_send is not None:
						# send your value to your left neighbor
						process_lock.acquire()
						l_send[1].send(lowerCAmelCase )
						process_lock.release()

						# receive your left neighbor's value
						process_lock.acquire()
						SCREAMING_SNAKE_CASE_					      =							lr_cv[0].recv()
						process_lock.release()

						# take the higher value since you are on the right
						SCREAMING_SNAKE_CASE_					      =							max(lowerCAmelCase    ,						lowerCAmelCase )
    # after all swaps are performed, send the values back to main
		result_pipe[1].send(lowerCAmelCase )


def 					_a							(					lowerCAmelCase )->	Optional[int]:
		SCREAMING_SNAKE_CASE_					      =							[]
		SCREAMING_SNAKE_CASE_					      =							[]
		# initialize the list of pipes where the values will be retrieved
		for _ in arr:
				result_pipe.append(Pipe() )
		# creates the processes
		# the first and last process only have one neighbor so they are made outside
		# of the loop
		SCREAMING_SNAKE_CASE_					      =							Pipe()
		SCREAMING_SNAKE_CASE_					      =							Pipe()
		process_array_.append(
		    Process(
		        target=lowerCAmelCase    ,						args=(0, arr[0], None, temp_rs, None, temp_rr, result_pipe[0])    ,						) )
		SCREAMING_SNAKE_CASE_					      =							temp_rs
		SCREAMING_SNAKE_CASE_					      =							temp_rr

		for i in range(1    ,						len(lowerCAmelCase ) - 1 ):
				SCREAMING_SNAKE_CASE_					      =							Pipe()
				SCREAMING_SNAKE_CASE_					      =							Pipe()
				process_array_.append(
				    Process(
				        target=lowerCAmelCase    ,						args=(i, arr[i], temp_ls, temp_rs, temp_lr, temp_rr, result_pipe[i])    ,						) )
				SCREAMING_SNAKE_CASE_					      =							temp_rs
				SCREAMING_SNAKE_CASE_					      =							temp_rr

		process_array_.append(
		    Process(
		        target=lowerCAmelCase    ,						args=(
		            len(lowerCAmelCase ) - 1,
		            arr[len(lowerCAmelCase ) - 1],
		            temp_ls,
		            None,
		            temp_lr,
		            None,
		            result_pipe[len(lowerCAmelCase ) - 1],
		        )    ,						) )

		# start the processes
		for p in process_array_:
				p.start()

		# wait for the processes to end and write their values to the list
		for p in range(0    ,						len(lowerCAmelCase ) ):
				SCREAMING_SNAKE_CASE_					      =							result_pipe[p][0].recv()
				process_array_[p].join()
		return arr


def 					_a							(					)->	int:
		SCREAMING_SNAKE_CASE_					      =							list(range(10    ,						0    ,						-1 ) )
		print('Initial List' )
		print(*lowerCAmelCase )
		SCREAMING_SNAKE_CASE_					      =							odd_even_transposition(lowerCAmelCase )
		print('Sorted List\n' )
		print(*lowerCAmelCase )


if __name__ == "__main__":
						main()





from __future__ import annotations

import math


def 					_a							(					lowerCAmelCase )->	bool:

		if 1 < number < 4:
				# 2 and 3 are primes
				return True
		elif number < 2 or number % 2 == 0 or number % 3 == 0:
				# Negatives, 0, 1, all even numbers, all multiples of 3 are not primes
				return False

		# All primes number are in format of 6k +/- 1
		for i in range(5    ,						int(math.sqrt(lowerCAmelCase ) + 1 )    ,						6 ):
				if number % i == 0 or number % (i + 2) == 0:
						return False
		return True


SCREAMING_SNAKE_CASE:     List[str]									= [num for num in range(3, 1_0_0_0_0_1, 2) if not is_prime(num)]


def 					_a							(					lowerCAmelCase )->	list[int]:
		if not isinstance(lowerCAmelCase    ,						lowerCAmelCase ):
				raise ValueError('n must be an integer' )
		if n <= 0:
				raise ValueError('n must be >= 0' )

		SCREAMING_SNAKE_CASE_					      =							[]
		for num in range(len(lowerCAmelCase ) ):
				SCREAMING_SNAKE_CASE_					      =							0
				while 2 * i * i <= odd_composites[num]:
						SCREAMING_SNAKE_CASE_					      =							odd_composites[num] - 2 * i * i
						if is_prime(lowerCAmelCase ):
								break
						i += 1
				else:
						list_nums.append(odd_composites[num] )
						if len(lowerCAmelCase ) == n:
								return list_nums

		return []


def 					_a							(					)->	int:
		return compute_nums(1 )[0]


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