"""simple docstring"""





import unittest

from diffusers import FlaxAutoencoderKL
from diffusers.utils import is_flax_available
from diffusers.utils.testing_utils import require_flax

from .test_modeling_common_flax import FlaxModelTesterMixin


if is_flax_available():
				import jax
@require_flax
class  _snake_case     (					a__				, unittest.TestCase		):
						snake_case__			  =			FlaxAutoencoderKL






						@property
						def       lowerCamelCase__     (       self      :			Optional[Any]    ):
													__lowerCamelCase					:		Any		   =     4
													__lowerCamelCase					:		Optional[int]		   =     3
													__lowerCamelCase					:		List[str]		   =     (32, 32)

													__lowerCamelCase					:		Union[str, Any]		   =     jax.random.PRNGKey(0    )
													__lowerCamelCase					:		str		   =     jax.random.uniform(UpperCAmelCase							,					((batch_size, num_channels) + sizes)    )

													return {"sample": image, "prng_key": prng_key}







						def       lowerCamelCase__     (       self      :			List[str]    ):
													__lowerCamelCase					:		List[str]		   =     {
													    "block_out_channels": [32, 64],
													    "in_channels": 3,
													    "out_channels": 3,
													    "down_block_types": ["DownEncoderBlock2D", "DownEncoderBlock2D"],
													    "up_block_types": ["UpDecoderBlock2D", "UpDecoderBlock2D"],
													    "latent_channels": 4,
													}
													__lowerCamelCase					:		Optional[int]		   =     self.dummy_input
													return init_dict, inputs_dict
"""simple docstring"""





import math


def    lowercase_   (   _lowerCamelCase:	int      ) ->      bool:



							'''simple docstring'''

							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


def    lowercase_   (   _lowerCamelCase:	int = 10001      ) ->      int:



							'''simple docstring'''

							try:
														__lowerCamelCase					:		Optional[int]		   =     int(_lowerCamelCase      )
							except (TypeError, ValueError):
														raise TypeError("Parameter nth must be int or castable to int."      ) from None
							if nth <= 0:
														raise ValueError("Parameter nth must be greater than or equal to one."      )
							__lowerCamelCase					:		list[int]		   =     []
							__lowerCamelCase					:		Tuple		   =     2
							while len(_lowerCamelCase      ) < nth:
														if is_prime(_lowerCamelCase      ):
																					primes.append(_lowerCamelCase      )
																					num += 1
														else:
																					num += 1
							return primes[len(_lowerCamelCase      ) - 1]


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