





def 					lowerCamelCase_						(    _UpperCamelCase			)		->						"list[int]":






				"""simple docstring"""


				if upper_limit < 0:
								raise ValueError('''Limit for the Catalan sequence must be ≥ 0'''			)

				snake_case_						:   str           =  [0] * (upper_limit + 1)

				# Base case: C(0) = C(1) = 1
				snake_case_						:   Optional[Any]           =  1
				if upper_limit > 0:
								snake_case_						:   Any           =  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(_UpperCamelCase			):
												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:
			lowerCAmelCase_    =    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()







import unittest

from transformers import load_tool
from transformers.utils import is_torch_available


if is_torch_available():
	import torch

from transformers.testing_utils import require_torch

from .test_tools_common import ToolTesterMixin



@require_torch
class  __lowerCAmelCase	(      unittest.TestCase,					_a					):






			def       lowerCamelCase  (self   )					->       int:


							'''simple docstring'''



							snake_case_						:   Dict           =  load_tool('''text-to-speech'''   )
							self.tool.setup()






			def       lowerCamelCase  (self   )					->       List[str]:


							'''simple docstring'''



							torch.manual_seed(0   )
							snake_case_						:   Optional[int]           =  self.tool('''hey'''   )
							snake_case_						:   Union[str, Any]           =  result.to_raw()
							self.assertTrue(
							    torch.allclose(
							        resulting_tensor[:3] ,							torch.tensor([-0.0_005_966_668_832_115_829, -0.0_003_657_640_190_795_064, -0.00_013_439_502_799_883_485]   ) ,							)   )






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


							'''simple docstring'''



							torch.manual_seed(0   )
							snake_case_						:   Any           =  self.tool('''hey'''   )
							snake_case_						:   str           =  result.to_raw()
							self.assertTrue(
							    torch.allclose(
							        resulting_tensor[:3] ,							torch.tensor([-0.0_005_966_668_832_115_829, -0.0_003_657_640_190_795_064, -0.00_013_439_502_799_883_485]   ) ,							)   )
