




def 		lowercase__ (		__A:						list[int]					):





					'''simple docstring'''






					if len(__A					) > 1:
										__magic_name__				:						Optional[int]     				=				len(__A					) // 2  # Finds the middle of the array
										__magic_name__				:						List[str]     				=				arr[
										    :middle_length
										]  # Creates an array of the elements in the first half.
										__magic_name__				:						Dict     				=				arr[
										    middle_length:
										]  # Creates an array of the elements in the second half.
										__magic_name__				:						List[Any]     				=				len(__A					)
										__magic_name__				:						int     				=				len(__A					)
										merge(__A					)  # Starts sorting the left.
										merge(__A					)  # Starts sorting the right
										__magic_name__				:						Any     				=				0  # Left Counter
										__magic_name__				:						str     				=				0  # Right Counter
										__magic_name__				:						int     				=				0  # Position Counter
										while (
										    left_index < left_size and right_index < right_size
										):  # Runs until the lowers size of the left and right are sorted.
															if left_array[left_index] < right_array[right_index]:
																				__magic_name__				:						List[str]     				=				left_array[left_index]
																				left_index += 1
															else:
																				__magic_name__				:						Tuple     				=				right_array[right_index]
																				right_index += 1
															index += 1
										while (
										    left_index < left_size
										):  # Adds the left over elements in the left half of the array
															__magic_name__				:						str     				=				left_array[left_index]
															left_index += 1
															index += 1
										while (
										    right_index < right_size
										):  # Adds the left over elements in the right half of the array
															__magic_name__				:						Optional[Any]     				=				right_array[right_index]
															right_index += 1
															index += 1
					return arr


if __name__ == "__main__":
	import doctest

	doctest.testmod()











"""simple docstring"""



import inspect

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


if is_flax_available():
						import jax




@require_flax
class 							__lowercase:






						def 		lowerCAmelCase (       self)      ->	str:




											"""simple docstring"""





											lowerCamelCase__					,  lowerCamelCase__					=self.prepare_init_args_and_inputs_for_common()

											lowerCamelCase__					=self.model_class(**_SCREAMING_SNAKE_CASE)
											lowerCamelCase__					=model.init(inputs_dict['prng_key']     ,    inputs_dict['sample'])
											jax.lax.stop_gradient(_SCREAMING_SNAKE_CASE)

											lowerCamelCase__					=model.apply(_SCREAMING_SNAKE_CASE     ,    inputs_dict['sample'])

											if isinstance(_SCREAMING_SNAKE_CASE     ,    _SCREAMING_SNAKE_CASE):
																lowerCamelCase__					=output.sample

											self.assertIsNotNone(_SCREAMING_SNAKE_CASE)
											lowerCamelCase__					=inputs_dict['sample'].shape
											self.assertEqual(output.shape     ,    _SCREAMING_SNAKE_CASE     ,    'Input and output shapes do not match')






						def 		lowerCAmelCase (       self)      ->	Optional[Any]:




											"""simple docstring"""





											lowerCamelCase__					,  lowerCamelCase__					=self.prepare_init_args_and_inputs_for_common()

											lowerCamelCase__					=16
											lowerCamelCase__					=(16, 32)

											lowerCamelCase__					=self.model_class(**_SCREAMING_SNAKE_CASE)
											lowerCamelCase__					=model.init(inputs_dict['prng_key']     ,    inputs_dict['sample'])
											jax.lax.stop_gradient(_SCREAMING_SNAKE_CASE)

											lowerCamelCase__					=model.apply(_SCREAMING_SNAKE_CASE     ,    inputs_dict['sample'])

											if isinstance(_SCREAMING_SNAKE_CASE     ,    _SCREAMING_SNAKE_CASE):
																lowerCamelCase__					=output.sample

											self.assertIsNotNone(_SCREAMING_SNAKE_CASE)
											lowerCamelCase__					=inputs_dict['sample'].shape
											self.assertEqual(output.shape     ,    _SCREAMING_SNAKE_CASE     ,    'Input and output shapes do not match')






						def 		lowerCAmelCase (       self)      ->	Optional[Any]:




											"""simple docstring"""





											lowerCamelCase__					='kwargs' in inspect.signature(self.model_class.__init__).parameters
											lowerCamelCase__					=len(self.model_class._deprecated_kwargs) > 0

											if has_kwarg_in_model_class and not has_deprecated_kwarg:
																raise ValueError(
																    F"{self.model_class} has `**kwargs` in its __init__ method but has not defined any deprecated kwargs"
																    ' under the `_deprecated_kwargs` class attribute. Make sure to either remove `**kwargs` if there are'
																    ' no deprecated arguments or add the deprecated argument with `_deprecated_kwargs ='
																    ' [<deprecated_argument>]`')

											if not has_kwarg_in_model_class and has_deprecated_kwarg:
																raise ValueError(
																    F"{self.model_class} doesn't have `**kwargs` in its __init__ method but has defined deprecated kwargs"
																    ' under the `_deprecated_kwargs` class attribute. Make sure to either add the `**kwargs` argument to'
																    F" {self.model_class}.__init__ if there are deprecated arguments or remove the deprecated argument"
																    ' from `_deprecated_kwargs = [<deprecated_argument>]`')