



'''simple docstring'''

import asyncio
import os
import shutil
import subprocess
import sys
import tempfile
import unittest
from distutils.util import strtobool
from functools import partial
from pathlib import Path
from typing import List, Union
from unittest import mock

import torch

from ..state import AcceleratorState, PartialState
from ..utils import (
    gather,
    is_bnb_available,
    is_comet_ml_available,
    is_datasets_available,
    is_deepspeed_available,
    is_mps_available,
    is_safetensors_available,
    is_tensorboard_available,
    is_torch_version,
    is_tpu_available,
    is_transformers_available,
    is_wandb_available,
    is_xpu_available,
)






def 		_snake_case		( _SCREAMING_SNAKE_CASE					:						str							,		_SCREAMING_SNAKE_CASE					:						int=False							)      ->						Optional[Any]:







	"""simple docstring"""
	try:
		lowerCAmelCase   =     os.environ[key]
	except KeyError:
		# KEY isn't set, default to `default`.
		lowerCAmelCase   =     default
	else:
		# KEY is set, convert it to True or False.
		try:
			lowerCAmelCase   =     strtobool(_SCREAMING_SNAKE_CASE							)
		except ValueError:
			# More values are supported, but let's keep the message simple.
			raise ValueError(f'If set, {key} must be yes or no.'							)
	return _value


UpperCAmelCase     		=   parse_flag_from_env('RUN_SLOW', default=False)






def 		_snake_case		( _SCREAMING_SNAKE_CASE					:						int							)      ->						Any:







	"""simple docstring"""
	return unittest.skip("""Test was skipped"""							)(_SCREAMING_SNAKE_CASE							)






def 		_snake_case		( _SCREAMING_SNAKE_CASE					:						List[str]							)      ->						Tuple:







	"""simple docstring"""
	return unittest.skipUnless(_run_slow_tests							,		"""test is slow"""							)(_SCREAMING_SNAKE_CASE							)






def 		_snake_case		( _SCREAMING_SNAKE_CASE					:						Optional[Any]							)      ->						Optional[Any]:







	"""simple docstring"""
	return unittest.skipUnless(not torch.cuda.is_available()							,		"""test requires only a CPU"""							)(_SCREAMING_SNAKE_CASE							)






def 		_snake_case		( _SCREAMING_SNAKE_CASE					:						Tuple							)      ->						int:







	"""simple docstring"""
	return unittest.skipUnless(torch.cuda.is_available()							,		"""test requires a GPU"""							)(_SCREAMING_SNAKE_CASE							)






def 		_snake_case		( _SCREAMING_SNAKE_CASE					:						int							)      ->						Union[str, Any]:







	"""simple docstring"""
	return unittest.skipUnless(is_xpu_available()							,		"""test requires a XPU"""							)(_SCREAMING_SNAKE_CASE							)






def 		_snake_case		( _SCREAMING_SNAKE_CASE					:						int							)      ->						List[Any]:







	"""simple docstring"""
	return unittest.skipUnless(is_mps_available()							,		"""test requires a `mps` backend support in `torch`"""							)(_SCREAMING_SNAKE_CASE							)






def 		_snake_case		( _SCREAMING_SNAKE_CASE					:						List[Any]							)      ->						Any:







	"""simple docstring"""
	return unittest.skipUnless(
	    is_transformers_available() and is_datasets_available()							,		"""test requires the Hugging Face suite"""							)(_SCREAMING_SNAKE_CASE							)






def 		_snake_case		( _SCREAMING_SNAKE_CASE					:						Union[str, Any]							)      ->						Tuple:







	"""simple docstring"""
	return unittest.skipUnless(is_bnb_available()							,		"""test requires the bitsandbytes library"""							)(_SCREAMING_SNAKE_CASE							)






def 		_snake_case		( _SCREAMING_SNAKE_CASE					:						Optional[Any]							)      ->						Optional[Any]:







	"""simple docstring"""
	return unittest.skipUnless(is_tpu_available()							,		"""test requires TPU"""							)(_SCREAMING_SNAKE_CASE							)






def 		_snake_case		( _SCREAMING_SNAKE_CASE					:						List[Any]							)      ->						Optional[Any]:







	"""simple docstring"""
	return unittest.skipUnless(torch.cuda.device_count() == 1							,		"""test requires a GPU"""							)(_SCREAMING_SNAKE_CASE							)






def 		_snake_case		( _SCREAMING_SNAKE_CASE					:						int							)      ->						Union[str, Any]:







	"""simple docstring"""
	return unittest.skipUnless(torch.xpu.device_count() == 1							,		"""test requires a XPU"""							)(_SCREAMING_SNAKE_CASE							)






def 		_snake_case		( _SCREAMING_SNAKE_CASE					:						List[Any]							)      ->						Any:







	"""simple docstring"""
	return unittest.skipUnless(torch.cuda.device_count() > 1							,		"""test requires multiple GPUs"""							)(_SCREAMING_SNAKE_CASE							)






def 		_snake_case		( _SCREAMING_SNAKE_CASE					:						Tuple							)      ->						Optional[Any]:







	"""simple docstring"""
	return unittest.skipUnless(torch.xpu.device_count() > 1							,		"""test requires multiple XPUs"""							)(_SCREAMING_SNAKE_CASE							)






def 		_snake_case		( _SCREAMING_SNAKE_CASE					:						Optional[int]							)      ->						int:







	"""simple docstring"""
	return unittest.skipUnless(is_safetensors_available()							,		"""test requires safetensors"""							)(_SCREAMING_SNAKE_CASE							)






def 		_snake_case		( _SCREAMING_SNAKE_CASE					:						Dict							)      ->						List[Any]:







	"""simple docstring"""
	return unittest.skipUnless(is_deepspeed_available()							,		"""test requires DeepSpeed"""							)(_SCREAMING_SNAKE_CASE							)






def 		_snake_case		( _SCREAMING_SNAKE_CASE					:						Optional[int]							)      ->						Dict:







	"""simple docstring"""
	return unittest.skipUnless(is_torch_version(""">="""							,		"""1.12.0"""							)							,		"""test requires torch version >= 1.12.0"""							)(_SCREAMING_SNAKE_CASE							)






def 		_snake_case		( _SCREAMING_SNAKE_CASE					:						Optional[int]=None							,		_SCREAMING_SNAKE_CASE					:						str=None							)      ->						Tuple:







	"""simple docstring"""
	if test_case is None:
		return partial(_SCREAMING_SNAKE_CASE							,		version=_SCREAMING_SNAKE_CASE							)
	return unittest.skipUnless(is_torch_version(""">="""							,		_SCREAMING_SNAKE_CASE							)							,		f'test requires torch version >= {version}'							)(_SCREAMING_SNAKE_CASE							)






def 		_snake_case		( _SCREAMING_SNAKE_CASE					:						Union[str, Any]							)      ->						Dict:







	"""simple docstring"""
	return unittest.skipUnless(is_tensorboard_available()							,		"""test requires Tensorboard"""							)(_SCREAMING_SNAKE_CASE							)






def 		_snake_case		( _SCREAMING_SNAKE_CASE					:						List[Any]							)      ->						Union[str, Any]:







	"""simple docstring"""
	return unittest.skipUnless(is_wandb_available()							,		"""test requires wandb"""							)(_SCREAMING_SNAKE_CASE							)






def 		_snake_case		( _SCREAMING_SNAKE_CASE					:						int							)      ->						Optional[Any]:







	"""simple docstring"""
	return unittest.skipUnless(is_comet_ml_available()							,		"""test requires comet_ml"""							)(_SCREAMING_SNAKE_CASE							)


UpperCAmelCase     		=   (
    any([is_wandb_available(), is_tensorboard_available()]) and not is_comet_ml_available()
)






def 		_snake_case		( _SCREAMING_SNAKE_CASE					:						Union[str, Any]							)      ->						str:







	"""simple docstring"""
	return unittest.skipUnless(
	    _atleast_one_tracker_available							,		"""test requires at least one tracker to be available and for `comet_ml` to not be installed"""							,		)(_SCREAMING_SNAKE_CASE							)

class __snake_case(				unittest.TestCase ):


						'''simple docstring'''



						UpperCAmelCase							:   Dict									=		True


						@classmethod
						def     __snake_case   ( cls				)     ->     Union[str, Any]:
							lowerCAmelCase   =     tempfile.mkdtemp()


						@classmethod
						def     __snake_case   ( cls				)     ->     Any:
							if os.path.exists(cls.tmpdir				):
								shutil.rmtree(cls.tmpdir				)




						def     __snake_case   ( self				)     ->     Any:
							if self.clear_on_setup:
								for path in Path(self.tmpdir				).glob("""**/*"""				):
									if path.is_file():
										path.unlink()
									elif path.is_dir():
										shutil.rmtree(A_				)







class __snake_case(				unittest.TestCase ):


						'''simple docstring'''



						def     __snake_case   ( self				)     ->     Optional[int]:
							super().tearDown()
							# Reset the state of the AcceleratorState singleton.
							AcceleratorState._reset_state()
							PartialState._reset_state()







class __snake_case(				unittest.TestCase ):


						'''simple docstring'''



						def     __snake_case   ( self     ,	A_				)     ->     Optional[int]:
							lowerCAmelCase   =     mocks if isinstance(A_     ,	(tuple, list)				) else [mocks]
							for m in self.mocks:
								m.start()
								self.addCleanup(m.stop				)







def 		_snake_case		( _SCREAMING_SNAKE_CASE					:						Union[str, Any]							)      ->						Union[str, Any]:







	"""simple docstring"""
	lowerCAmelCase   =     AcceleratorState()
	lowerCAmelCase   =     tensor[None].clone().to(state.device							)
	lowerCAmelCase   =     gather(_SCREAMING_SNAKE_CASE							).cpu()
	lowerCAmelCase   =     tensor[0].cpu()
	for i in range(tensors.shape[0]							):
		if not torch.equal(tensors[i]							,		_SCREAMING_SNAKE_CASE							):
			return False
	return True

class __snake_case:


						'''simple docstring'''



						def __init__( self     ,	A_     ,	A_     ,	A_				)     ->     List[Any]:
							lowerCAmelCase   =     returncode
							lowerCAmelCase   =     stdout
							lowerCAmelCase   =     stderr







async def 		_snake_case		( _SCREAMING_SNAKE_CASE					:						List[Any]							,		_SCREAMING_SNAKE_CASE					:						str							)      ->						Optional[int]:







	"""simple docstring"""
	while True:
		lowerCAmelCase   =     await stream.readline()
		if line:
			callback(_SCREAMING_SNAKE_CASE							)
		else:
			break






async def 		_snake_case		( _SCREAMING_SNAKE_CASE					:						int							,		_SCREAMING_SNAKE_CASE					:						List[Any]=None							,		_SCREAMING_SNAKE_CASE					:						str=None							,		_SCREAMING_SNAKE_CASE					:						Any=None							,		_SCREAMING_SNAKE_CASE					:						List[str]=False							,		_SCREAMING_SNAKE_CASE					:						str=False							)      ->						_RunOutput:







	"""simple docstring"""
	if echo:
		print("""\nRunning: """							,		""" """.join(_SCREAMING_SNAKE_CASE							)							)

	lowerCAmelCase   =     await asyncio.create_subprocess_exec(
	    cmd[0]							,		*cmd[1:]							,		stdin=_SCREAMING_SNAKE_CASE							,		stdout=asyncio.subprocess.PIPE							,		stderr=asyncio.subprocess.PIPE							,		env=_SCREAMING_SNAKE_CASE							,		)

	# note: there is a warning for a possible deadlock when using `wait` with huge amounts of data in the pipe
	# https://docs.python.org/3/library/asyncio-subprocess.html#asyncio.asyncio.subprocess.Process.wait
	#
	# If it starts hanging, will need to switch to the following code. The problem is that no data
	# will be seen until it's done and if it hangs for example there will be no debug info.
	# out, err = await p.communicate()
	# return _RunOutput(p.returncode, out, err)

	lowerCAmelCase   =     []
	lowerCAmelCase   =     []

	def tee(_SCREAMING_SNAKE_CASE					:						List[str]							,		_SCREAMING_SNAKE_CASE					:						Dict							,		_SCREAMING_SNAKE_CASE					:						str							,		_SCREAMING_SNAKE_CASE					:						Dict=""							):
		lowerCAmelCase   =     line.decode("""utf-8"""							).rstrip()
		sink.append(_SCREAMING_SNAKE_CASE							)
		if not quiet:
			print(_SCREAMING_SNAKE_CASE							,		_SCREAMING_SNAKE_CASE							,		file=_SCREAMING_SNAKE_CASE							)

    # XXX: the timeout doesn't seem to make any difference here
	await asyncio.wait(
	    [
	        asyncio.create_task(_read_stream(p.stdout							,		lambda _SCREAMING_SNAKE_CASE							: tee(_SCREAMING_SNAKE_CASE							,		_SCREAMING_SNAKE_CASE							,		sys.stdout							,		label="""stdout:"""							)							)							),
	        asyncio.create_task(_read_stream(p.stderr							,		lambda _SCREAMING_SNAKE_CASE							: tee(_SCREAMING_SNAKE_CASE							,		_SCREAMING_SNAKE_CASE							,		sys.stderr							,		label="""stderr:"""							)							)							),
	    ]							,		timeout=_SCREAMING_SNAKE_CASE							,		)
	return _RunOutput(await p.wait()							,		_SCREAMING_SNAKE_CASE							,		_SCREAMING_SNAKE_CASE							)






def 		_snake_case		( _SCREAMING_SNAKE_CASE					:						Dict							,		_SCREAMING_SNAKE_CASE					:						int=None							,		_SCREAMING_SNAKE_CASE					:						str=None							,		_SCREAMING_SNAKE_CASE					:						Dict=180							,		_SCREAMING_SNAKE_CASE					:						Optional[Any]=False							,		_SCREAMING_SNAKE_CASE					:						Optional[int]=True							)      ->						_RunOutput:







	"""simple docstring"""
	lowerCAmelCase   =     asyncio.get_event_loop()
	lowerCAmelCase   =     loop.run_until_complete(
	    _stream_subprocess(_SCREAMING_SNAKE_CASE							,		env=_SCREAMING_SNAKE_CASE							,		stdin=_SCREAMING_SNAKE_CASE							,		timeout=_SCREAMING_SNAKE_CASE							,		quiet=_SCREAMING_SNAKE_CASE							,		echo=_SCREAMING_SNAKE_CASE							)							)

	lowerCAmelCase   =     """ """.join(_SCREAMING_SNAKE_CASE							)
	if result.returncode > 0:
		lowerCAmelCase   =     """\n""".join(result.stderr							)
		raise RuntimeError(
		    f'\'{cmd_str}\' failed with returncode {result.returncode}\n\n'
		    f'The combined stderr from workers follows:\n{stderr}'							)

	return result

class __snake_case(				_lowerCAmelCase ):


						'''simple docstring'''



						pass







def 		_snake_case		( _SCREAMING_SNAKE_CASE					:						List[str]							,		_SCREAMING_SNAKE_CASE					:						List[Any]=False							)      ->						str:







	"""simple docstring"""
	try:
		lowerCAmelCase   =     subprocess.check_output(_SCREAMING_SNAKE_CASE							,		stderr=subprocess.STDOUT							)
		if return_stdout:
			if hasattr(_SCREAMING_SNAKE_CASE							,		"""decode"""							):
				lowerCAmelCase   =     output.decode("""utf-8"""							)
			return output
	except subprocess.CalledProcessError as e:
		raise SubprocessCallException(
		    f'Command `{" ".join(_SCREAMING_SNAKE_CASE							)}` failed with the following error:\n\n{e.output.decode()}'							) from e




'''simple docstring'''

from __future__ import annotations

UpperCAmelCase     		=   []






def 		_snake_case		( _SCREAMING_SNAKE_CASE					:						list[list[int]]							,		_SCREAMING_SNAKE_CASE					:						int							,		_SCREAMING_SNAKE_CASE					:						int							)      ->						bool:







	"""simple docstring"""
	for i in range(len(_SCREAMING_SNAKE_CASE							)							):
		if board[row][i] == 1:
			return False
	for i in range(len(_SCREAMING_SNAKE_CASE							)							):
		if board[i][column] == 1:
			return False
	for i, j in zip(range(_SCREAMING_SNAKE_CASE							,		-1							,		-1							)							,		range(_SCREAMING_SNAKE_CASE							,		-1							,		-1							)							):
		if board[i][j] == 1:
			return False
	for i, j in zip(range(_SCREAMING_SNAKE_CASE							,		-1							,		-1							)							,		range(_SCREAMING_SNAKE_CASE							,		len(_SCREAMING_SNAKE_CASE							)							)							):
		if board[i][j] == 1:
			return False
	return True






def 		_snake_case		( _SCREAMING_SNAKE_CASE					:						list[list[int]]							,		_SCREAMING_SNAKE_CASE					:						int							)      ->						bool:







	"""simple docstring"""
	if row >= len(_SCREAMING_SNAKE_CASE							):
		solution.append(_SCREAMING_SNAKE_CASE							)
		printboard(_SCREAMING_SNAKE_CASE							)
		print()
		return True
	for i in range(len(_SCREAMING_SNAKE_CASE							)							):
		if is_safe(_SCREAMING_SNAKE_CASE							,		_SCREAMING_SNAKE_CASE							,		_SCREAMING_SNAKE_CASE							):
			lowerCAmelCase   =     1
			solve(_SCREAMING_SNAKE_CASE							,		row + 1							)
			lowerCAmelCase   =     0
	return False






def 		_snake_case		( _SCREAMING_SNAKE_CASE					:						list[list[int]]							)      ->						None:







	"""simple docstring"""
	for i in range(len(_SCREAMING_SNAKE_CASE							)							):
		for j in range(len(_SCREAMING_SNAKE_CASE							)							):
			if board[i][j] == 1:
				print("""Q"""							,		end=""" """							)
			else:
				print("""."""							,		end=""" """							)
		print()


# n=int(input("The no. of queens"))
UpperCAmelCase     		=   8
UpperCAmelCase     		=   [[0 for i in range(n)] for j in range(n)]
solve(board, 0)





print('The total no. of solutions are :', len(solution))