

'''simple docstring'''
def        _lowerCAmelCase					(						)      ->			list[list[int]]:
     """simple docstring"""




     return [list(range(10_00 - i							, -10_00 - i							, -1				)				) for i in range(10_00				)]


lowerCamelCase :      Optional[Any]					 =     generate_large_matrix()
lowerCamelCase :      Optional[int]					 =     (
    [[4, 3, 2, -1], [3, 2, 1, -1], [1, 1, -1, -2], [-1, -1, -2, -3]],
    [[3, 2], [1, 0]],
    [[7, 7, 6]],
    [[7, 7, 6], [-1, -2, -3]],
    grid,
)


def        _lowerCAmelCase					(						_UpperCamelCase						:     list[list[int]]				)      ->			None:
     """simple docstring"""




     assert all(row == sorted(_UpperCamelCase							, reverse=_UpperCamelCase				) for row in grid				)
     assert all(list(_UpperCamelCase				) == sorted(_UpperCamelCase							, reverse=_UpperCamelCase				) for col in zip(*_UpperCamelCase				)				)


def        _lowerCAmelCase					(						_UpperCamelCase						:     list[int]				)      ->			int:
     """simple docstring"""




     _SCREAMING_SNAKE_CASE							    =0
     _SCREAMING_SNAKE_CASE							    =len(_UpperCamelCase				) - 1

     # Edge cases such as no values or all numbers are negative.
     if not array or array[0] < 0:
          return 0

     while right + 1 > left:
          _SCREAMING_SNAKE_CASE							    =(left + right) // 2
          _SCREAMING_SNAKE_CASE							    =array[mid]

          # Num must be negative and the index must be greater than or equal to 0.
          if num < 0 and array[mid - 1] >= 0:
               return mid

          if num >= 0:
               _SCREAMING_SNAKE_CASE							    =mid + 1
          else:
               _SCREAMING_SNAKE_CASE							    =mid - 1
    # No negative numbers so return the last index of the array + 1 which is the length.
     return len(_UpperCamelCase				)


def        _lowerCAmelCase					(						_UpperCamelCase						:     list[list[int]]				)      ->			int:
     """simple docstring"""




     _SCREAMING_SNAKE_CASE							    =0
     _SCREAMING_SNAKE_CASE							    =len(grid[0]				)

     for i in range(len(_UpperCamelCase				)				):
          _SCREAMING_SNAKE_CASE							    =find_negative_index(grid[i][:bound]				)
          total += bound
     return (len(_UpperCamelCase				) * len(grid[0]				)) - total


def        _lowerCAmelCase					(						_UpperCamelCase						:     list[list[int]]				)      ->			int:
     """simple docstring"""




     return len([number for row in grid for number in row if number < 0]				)


def        _lowerCAmelCase					(						_UpperCamelCase						:     list[list[int]]				)      ->			int:
     """simple docstring"""




     _SCREAMING_SNAKE_CASE							    =0
     for row in grid:
          for i, number in enumerate(_UpperCamelCase				):
               if number < 0:
                    total += len(_UpperCamelCase				) - i
                    break
     return total


def        _lowerCAmelCase					(						)      ->			None:
     """simple docstring"""




     from timeit import timeit

     print('Running benchmarks'				)
     _SCREAMING_SNAKE_CASE							    =(
         'from __main__ import count_negatives_binary_search, '
         'count_negatives_brute_force, count_negatives_brute_force_with_break, grid'
     )
     for func in (
         "count_negatives_binary_search",  # took 0.7727 seconds
         "count_negatives_brute_force_with_break",  # took 4.6505 seconds
         "count_negatives_brute_force",  # took 12.8160 seconds
     ):
          _SCREAMING_SNAKE_CASE							    =timeit(f"{func}(grid=grid)"							, setup=_UpperCamelCase							, number=5_00				)
          print(f"{func}() took {time:0.4f} seconds"				)


if __name__ == "__main__":
     import doctest

     doctest.testmod()
     benchmark()







from multiprocessing import Lock, Pipe, Process

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







def    __lowerCamelCase					(							__a   :Dict    ,     __a   :List[str]    ,     __a   :Optional[int]    ,     __a   :Optional[int]    ,     __a   :Optional[Any]    ,     __a   :Optional[int]    ,     __a   :int    )		->				Dict:






		"""simple docstring"""

		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    ,     1_0    ):
				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(__a    )
						process_lock.release()

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

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

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

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







def    __lowerCamelCase					(							__a   :List[str]    )		->				int:






		"""simple docstring"""

		A__        =   []
		A__        =   []
		# 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
		A__        =   Pipe()
		A__        =   Pipe()
		process_array_.append(
		    Process(
		        target=__a    ,     args=(0, arr[0], None, temp_rs, None, temp_rr, result_pipe[0])    ,     )    )
		A__        =   temp_rs
		A__        =   temp_rr

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

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







def    __lowerCamelCase					(							)		->				str:






		"""simple docstring"""

		A__        =   list(range(1_0    ,     0    ,     -1    )    )
		print("""Initial List"""    )
		print(*__a    )
		A__        =   odd_even_transposition(__a    )
		print("""Sorted List\n"""    )
		print(*__a    )


if __name__ == "__main__":
					main()



