
'''simple docstring'''







def        SCREAMING_SNAKE_CASE__			(     __A			) ->			"list[int]":
	if upper_limit < 0:
		raise ValueError('Limit for the Catalan sequence must be ≥ 0'			)

	_snake_case     		=	[0] * (upper_limit + 1)

	# Base case: C(0) = C(1) = 1
	_snake_case     		=	1
	if upper_limit > 0:
		_snake_case     		=	1

	# Recurrence relation: C(i) = sum(C(j).C(i-j-1)), from j = 0 to i
	for i in range(2    ,       upper_limit + 1			):
		for j in range(__A			):
			catalan_list[i] += catalan_list[j] * catalan_list[i - j - 1]

	return catalan_list


if __name__ == "__main__":
					print("\n********* Catalan Numbers Using Dynamic Programming ************\n")
					print("\n*** Enter -1 at any time to quit ***")
					print("\nEnter the upper limit (≥ 0) for the Catalan number sequence: ", end="")
					try:
										while True:
															lowercase					:							List[Any]   =      int(input().strip())
															if N < 0:
																				print("\n********* Goodbye!! ************")
																				break
															else:
																				print(F'''The Catalan numbers from 0 through {N} are:''')
																				print(catalan_numbers(N))
																				print("Try another upper limit for the sequence: ", end="")
					except (NameError, ValueError):
										print("\n********* Invalid input, goodbye! ************\n")

					import doctest

					doctest.testmod()



'''simple docstring'''







from ...utils import (
    OptionalDependencyNotAvailable,
    is_torch_available,
    is_transformers_available,
    is_transformers_version,
)


try:
					if not (is_transformers_available() and is_torch_available() and is_transformers_version(">=", "4.25.0")):
										raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
					from ...utils.dummy_torch_and_transformers_objects import UnCLIPImageVariationPipeline, UnCLIPPipeline
else:
					from .pipeline_unclip import UnCLIPPipeline
					from .pipeline_unclip_image_variation import UnCLIPImageVariationPipeline
					from .text_proj import UnCLIPTextProjModel

