



from multiprocessing import Lock, Pipe, Process

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







def 			_a   (		SCREAMING_SNAKE_CASE_							:       int   ,   SCREAMING_SNAKE_CASE_							:       List[Any]   ,   SCREAMING_SNAKE_CASE_							:       Union[str, Any]   ,   SCREAMING_SNAKE_CASE_							:       List[str]   ,   SCREAMING_SNAKE_CASE_							:       Union[str, Any]   ,   SCREAMING_SNAKE_CASE_							:       List[str]   ,   SCREAMING_SNAKE_CASE_							:       Any  ):
					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(SCREAMING_SNAKE_CASE_  )
															process_lock.release()

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

															# take the lower value since you are on the left
															__lowerCAmelCase            = min(SCREAMING_SNAKE_CASE_   ,   SCREAMING_SNAKE_CASE_  )
										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(SCREAMING_SNAKE_CASE_  )
															process_lock.release()

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

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







def 			_a   (		SCREAMING_SNAKE_CASE_							:       int  ):
					__lowerCAmelCase            = []
					__lowerCAmelCase            = []
					# 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
					__lowerCAmelCase            = Pipe()
					__lowerCAmelCase            = Pipe()
					process_array_.append(
					    Process(
					        target=SCREAMING_SNAKE_CASE_   ,   args=(0, arr[0], None, temp_rs, None, temp_rr, result_pipe[0])   ,   )  )
					__lowerCAmelCase            = temp_rs
					__lowerCAmelCase            = temp_rr

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

					process_array_.append(
					    Process(
					        target=SCREAMING_SNAKE_CASE_   ,   args=(
					            len(SCREAMING_SNAKE_CASE_  ) - 1,
					            arr[len(SCREAMING_SNAKE_CASE_  ) - 1],
					            temp_ls,
					            None,
					            temp_lr,
					            None,
					            result_pipe[len(SCREAMING_SNAKE_CASE_  ) - 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(SCREAMING_SNAKE_CASE_  )  ):
										__lowerCAmelCase            = result_pipe[p][0].recv()
										process_array_[p].join()
					return arr







def 			_a   (		):
					__lowerCAmelCase            = list(range(10   ,   0   ,   -1  )  )
					print("Initial List"  )
					print(*SCREAMING_SNAKE_CASE_  )
					__lowerCAmelCase            = odd_even_transposition(SCREAMING_SNAKE_CASE_  )
					print("Sorted List\n"  )
					print(*SCREAMING_SNAKE_CASE_  )


if __name__ == "__main__":
					main()










from math import sqrt







def 			_a   (		SCREAMING_SNAKE_CASE_							:       int  ):

					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(sqrt(SCREAMING_SNAKE_CASE_  ) + 1  )   ,   6  ):
										if number % i == 0 or number % (i + 2) == 0:
															return False
					return True







def 			_a   (		SCREAMING_SNAKE_CASE_							:       int = 1_00_01  ):
					__lowerCAmelCase            = 0
					__lowerCAmelCase            = 1
					while count != nth and number < 3:
										number += 1
										if is_prime(SCREAMING_SNAKE_CASE_  ):
															count += 1
					while count != nth:
										number += 2
										if is_prime(SCREAMING_SNAKE_CASE_  ):
															count += 1
					return number


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




