






from __future__ import annotations

a_		:    str   							=     []






def 					lowerCamelCase__					(_UpperCAmelCase				,							_UpperCAmelCase				,							_UpperCAmelCase):
			for i in range(len(_UpperCAmelCase)):
						if board[row][i] == 1:
									return False
			for i in range(len(_UpperCAmelCase)):
						if board[i][column] == 1:
									return False
			for i, j in zip(range(_UpperCAmelCase				,							-1				,							-1)				,							range(_UpperCAmelCase				,							-1				,							-1)):
						if board[i][j] == 1:
									return False
			for i, j in zip(range(_UpperCAmelCase				,							-1				,							-1)				,							range(_UpperCAmelCase				,							len(_UpperCAmelCase))):
						if board[i][j] == 1:
									return False
			return True






def 					lowerCamelCase__					(_UpperCAmelCase				,							_UpperCAmelCase):
			if row >= len(_UpperCAmelCase):
						solution.append(_UpperCAmelCase)
						printboard(_UpperCAmelCase)
						print()
						return True
			for i in range(len(_UpperCAmelCase)):
						if is_safe(_UpperCAmelCase				,							_UpperCAmelCase				,							_UpperCAmelCase):
									SCREAMING_SNAKE_CASE							=			1
									solve(_UpperCAmelCase				,							row + 1)
									SCREAMING_SNAKE_CASE							=			0
			return False






def 					lowerCamelCase__					(_UpperCAmelCase):
			for i in range(len(_UpperCAmelCase)):
						for j in range(len(_UpperCAmelCase)):
									if board[i][j] == 1:
												print('Q'				,							end=' ')
									else:
												print('.'				,							end=' ')
						print()


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







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









"""simple docstring"""




import os
import tempfile
import unittest

import numpy as np

from diffusers.utils import is_flax_available
from diffusers.utils.testing_utils import require_flax, slow


if is_flax_available():
 import jax
 import jax.numpy as jnp
 from flax.jax_utils import replicate
 from flax.training.common_utils import shard

 from diffusers import FlaxDDIMScheduler, FlaxDiffusionPipeline, FlaxStableDiffusionPipeline






@require_flax
class       UpperCAmelCase_    (							unittest.TestCase		):



      def 		snake_case_   (	self	:      Optional[int]		):
           with tempfile.TemporaryDirectory() as tmpdirname:
                # pipeline has Flax weights
                _UpperCAmelCase     :      Union[str, Any]														=       FlaxDiffusionPipeline.from_pretrained(
                    "hf-internal-testing/tiny-stable-diffusion-pipe"	,      safety_checker=A	,      cache_dir=A		)

                _UpperCAmelCase     :      List[str]														=       [t[-1] for t in os.walk(os.path.join(A	,      os.listdir(A		)[0]	,      "snapshots"		)		)]
                _UpperCAmelCase     :      Union[str, Any]														=       [item for sublist in all_root_files for item in sublist]

                # None of the downloaded files should be a PyTorch file even if we have some here:
                # https://huggingface.co/hf-internal-testing/tiny-stable-diffusion-pipe/blob/main/unet/diffusion_pytorch_model.bin
                assert not any(f.endswith(".bin"		) for f in files		)







@slow
@require_flax
class       UpperCAmelCase_    (							unittest.TestCase		):



      def 		snake_case_   (	self	:      List[str]		):
           _UpperCAmelCase							,			_UpperCAmelCase     :      int														=       FlaxStableDiffusionPipeline.from_pretrained(
               "hf-internal-testing/tiny-stable-diffusion-pipe"	,      safety_checker=A		)

           _UpperCAmelCase     :      str														=       (
               "A cinematic film still of Morgan Freeman starring as Jimi Hendrix, portrait, 40mm lens, shallow depth of"
               " field, close up, split lighting, cinematic"
           )

           _UpperCAmelCase     :      int														=       jax.random.PRNGKey(0		)
           _UpperCAmelCase     :      List[str]														=       4

           _UpperCAmelCase     :      Any														=       jax.device_count()
           _UpperCAmelCase     :      Tuple														=       num_samples * [prompt]
           _UpperCAmelCase     :      Optional[int]														=       pipeline.prepare_inputs(A		)

           # shard inputs and rng
           _UpperCAmelCase     :      Union[str, Any]														=       replicate(A		)
           _UpperCAmelCase     :      List[Any]														=       jax.random.split(A	,      A		)
           _UpperCAmelCase     :      List[Any]														=       shard(A		)

           _UpperCAmelCase     :      Tuple														=       pipeline(A	,      A	,      A	,      A	,      jit=A		).images

           assert images.shape == (num_samples, 1, 6_4, 6_4, 3)
           if jax.device_count() == 8:
                assert np.abs(np.abs(images[0, 0, :2, :2, -2:]	,      dtype=np.floataa		).sum() - 4.1_514_745		) < 1e-3
                assert np.abs(np.abs(A	,      dtype=np.floataa		).sum() - 49_947.875		) < 5e-1

           _UpperCAmelCase     :      Optional[int]														=       pipeline.numpy_to_pil(np.asarray(images.reshape((num_samples,) + images.shape[-3:]		)		)		)
           assert len(A		) == num_samples



      def 		snake_case_   (	self	:      Union[str, Any]		):
           _UpperCAmelCase							,			_UpperCAmelCase     :      Optional[Any]														=       FlaxStableDiffusionPipeline.from_pretrained(
               "CompVis/stable-diffusion-v1-4"	,      revision="flax"	,      safety_checker=A		)

           _UpperCAmelCase     :      Dict														=       (
               "A cinematic film still of Morgan Freeman starring as Jimi Hendrix, portrait, 40mm lens, shallow depth of"
               " field, close up, split lighting, cinematic"
           )

           _UpperCAmelCase     :      Dict														=       jax.random.PRNGKey(0		)
           _UpperCAmelCase     :      str														=       5_0

           _UpperCAmelCase     :      List[str]														=       jax.device_count()
           _UpperCAmelCase     :      Any														=       num_samples * [prompt]
           _UpperCAmelCase     :      Dict														=       pipeline.prepare_inputs(A		)

           # shard inputs and rng
           _UpperCAmelCase     :      Dict														=       replicate(A		)
           _UpperCAmelCase     :      str														=       jax.random.split(A	,      A		)
           _UpperCAmelCase     :      Optional[Any]														=       shard(A		)

           _UpperCAmelCase     :      List[Any]														=       pipeline(A	,      A	,      A	,      A	,      jit=A		).images

           assert images.shape == (num_samples, 1, 5_1_2, 5_1_2, 3)
           if jax.device_count() == 8:
                assert np.abs((np.abs(images[0, 0, :2, :2, -2:]	,      dtype=np.floataa		).sum() - 0.05_652_401)		) < 1e-3
                assert np.abs((np.abs(A	,      dtype=np.floataa		).sum() - 2_383_808.2)		) < 5e-1



      def 		snake_case_   (	self	:      List[Any]		):
           _UpperCAmelCase							,			_UpperCAmelCase     :      List[Any]														=       FlaxStableDiffusionPipeline.from_pretrained(
               "CompVis/stable-diffusion-v1-4"	,      revision="bf16"	,      dtype=jnp.bfloataa	,      safety_checker=A		)

           _UpperCAmelCase     :      Any														=       (
               "A cinematic film still of Morgan Freeman starring as Jimi Hendrix, portrait, 40mm lens, shallow depth of"
               " field, close up, split lighting, cinematic"
           )

           _UpperCAmelCase     :      List[Any]														=       jax.random.PRNGKey(0		)
           _UpperCAmelCase     :      List[Any]														=       5_0

           _UpperCAmelCase     :      Union[str, Any]														=       jax.device_count()
           _UpperCAmelCase     :      Optional[int]														=       num_samples * [prompt]
           _UpperCAmelCase     :      Union[str, Any]														=       pipeline.prepare_inputs(A		)

           # shard inputs and rng
           _UpperCAmelCase     :      int														=       replicate(A		)
           _UpperCAmelCase     :      Optional[int]														=       jax.random.split(A	,      A		)
           _UpperCAmelCase     :      str														=       shard(A		)

           _UpperCAmelCase     :      Union[str, Any]														=       pipeline(A	,      A	,      A	,      A	,      jit=A		).images

           assert images.shape == (num_samples, 1, 5_1_2, 5_1_2, 3)
           if jax.device_count() == 8:
                assert np.abs((np.abs(images[0, 0, :2, :2, -2:]	,      dtype=np.floataa		).sum() - 0.04_003_906)		) < 1e-3
                assert np.abs((np.abs(A	,      dtype=np.floataa		).sum() - 2_373_516.75)		) < 5e-1



      def 		snake_case_   (	self	:      int		):
           _UpperCAmelCase							,			_UpperCAmelCase     :      Dict														=       FlaxStableDiffusionPipeline.from_pretrained(
               "CompVis/stable-diffusion-v1-4"	,      revision="bf16"	,      dtype=jnp.bfloataa		)

           _UpperCAmelCase     :      str														=       (
               "A cinematic film still of Morgan Freeman starring as Jimi Hendrix, portrait, 40mm lens, shallow depth of"
               " field, close up, split lighting, cinematic"
           )

           _UpperCAmelCase     :      Optional[int]														=       jax.random.PRNGKey(0		)
           _UpperCAmelCase     :      Dict														=       5_0

           _UpperCAmelCase     :      Union[str, Any]														=       jax.device_count()
           _UpperCAmelCase     :      str														=       num_samples * [prompt]
           _UpperCAmelCase     :      int														=       pipeline.prepare_inputs(A		)

           # shard inputs and rng
           _UpperCAmelCase     :      Optional[int]														=       replicate(A		)
           _UpperCAmelCase     :      Tuple														=       jax.random.split(A	,      A		)
           _UpperCAmelCase     :      Dict														=       shard(A		)

           _UpperCAmelCase     :      Optional[Any]														=       pipeline(A	,      A	,      A	,      A	,      jit=A		).images

           assert images.shape == (num_samples, 1, 5_1_2, 5_1_2, 3)
           if jax.device_count() == 8:
                assert np.abs((np.abs(images[0, 0, :2, :2, -2:]	,      dtype=np.floataa		).sum() - 0.04_003_906)		) < 1e-3
                assert np.abs((np.abs(A	,      dtype=np.floataa		).sum() - 2_373_516.75)		) < 5e-1



      def 		snake_case_   (	self	:      Optional[Any]		):
           _UpperCAmelCase     :      Dict														=       FlaxDDIMScheduler(
               beta_start=0.00_085	,      beta_end=0.012	,      beta_schedule="scaled_linear"	,      set_alpha_to_one=A	,      steps_offset=1	,      )

           _UpperCAmelCase							,			_UpperCAmelCase     :      Dict														=       FlaxStableDiffusionPipeline.from_pretrained(
               "CompVis/stable-diffusion-v1-4"	,      revision="bf16"	,      dtype=jnp.bfloataa	,      scheduler=A	,      safety_checker=A	,      )
           _UpperCAmelCase     :      Union[str, Any]														=       scheduler.create_state()

           _UpperCAmelCase     :      str														=       scheduler_state

           _UpperCAmelCase     :      Union[str, Any]														=       (
               "A cinematic film still of Morgan Freeman starring as Jimi Hendrix, portrait, 40mm lens, shallow depth of"
               " field, close up, split lighting, cinematic"
           )

           _UpperCAmelCase     :      str														=       jax.random.PRNGKey(0		)
           _UpperCAmelCase     :      List[str]														=       5_0

           _UpperCAmelCase     :      Optional[int]														=       jax.device_count()
           _UpperCAmelCase     :      int														=       num_samples * [prompt]
           _UpperCAmelCase     :      Optional[int]														=       pipeline.prepare_inputs(A		)

           # shard inputs and rng
           _UpperCAmelCase     :      List[Any]														=       replicate(A		)
           _UpperCAmelCase     :      Tuple														=       jax.random.split(A	,      A		)
           _UpperCAmelCase     :      Union[str, Any]														=       shard(A		)

           _UpperCAmelCase     :      Dict														=       pipeline(A	,      A	,      A	,      A	,      jit=A		).images

           assert images.shape == (num_samples, 1, 5_1_2, 5_1_2, 3)
           if jax.device_count() == 8:
                assert np.abs((np.abs(images[0, 0, :2, :2, -2:]	,      dtype=np.floataa		).sum() - 0.045_043_945)		) < 1e-3
                assert np.abs((np.abs(A	,      dtype=np.floataa		).sum() - 2_347_693.5)		) < 5e-1



      def 		snake_case_   (	self	:      int		):
           _UpperCAmelCase     :      Optional[Any]														=       (
               "A cinematic film still of Morgan Freeman starring as Jimi Hendrix, portrait, 40mm lens, shallow depth of"
               " field, close up, split lighting, cinematic"
           )

           _UpperCAmelCase     :      Optional[Any]														=       jax.device_count()
           _UpperCAmelCase     :      Union[str, Any]														=       num_samples * [prompt]
           _UpperCAmelCase     :      Optional[Any]														=       jax.random.split(jax.random.PRNGKey(0		)	,      A		)

           _UpperCAmelCase							,			_UpperCAmelCase     :      str														=       FlaxStableDiffusionPipeline.from_pretrained(
               "CompVis/stable-diffusion-v1-4"	,      revision="bf16"	,      dtype=jnp.bfloataa	,      safety_checker=A	,      )

           _UpperCAmelCase     :      int														=       replicate(A		)
           _UpperCAmelCase     :      Union[str, Any]														=       pipeline.prepare_inputs(A		)
           _UpperCAmelCase     :      int														=       shard(A		)
           _UpperCAmelCase     :      Dict														=       pipeline(A	,      A	,      A	,      jit=A		).images
           assert images.shape == (num_samples, 1, 5_1_2, 5_1_2, 3)
           _UpperCAmelCase     :      List[str]														=       images[2, 0, 2_5_6, 1_0:1_7, 1]

           # With memory efficient attention
           _UpperCAmelCase							,			_UpperCAmelCase     :      str														=       FlaxStableDiffusionPipeline.from_pretrained(
               "CompVis/stable-diffusion-v1-4"	,      revision="bf16"	,      dtype=jnp.bfloataa	,      safety_checker=A	,      use_memory_efficient_attention=A	,      )

           _UpperCAmelCase     :      Any														=       replicate(A		)
           _UpperCAmelCase     :      str														=       pipeline.prepare_inputs(A		)
           _UpperCAmelCase     :      Tuple														=       shard(A		)
           _UpperCAmelCase     :      Tuple														=       pipeline(A	,      A	,      A	,      jit=A		).images
           assert images_eff.shape == (num_samples, 1, 5_1_2, 5_1_2, 3)
           _UpperCAmelCase     :      str														=       images[2, 0, 2_5_6, 1_0:1_7, 1]

           # I checked the results visually and they are very similar. However, I saw that the max diff is `1` and the `sum`
           # over the 8 images is exactly `256`, which is very suspicious. Testing a random slice for now.
           assert abs(slice_eff - slice		).max() < 1e-2
