


"""simple docstring"""



def   __lowerCAmelCase						(						lowercase  :  List[Any]			)     ->						str:


				"""simple docstring"""





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

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

				# Base case: C(0) = C(1) = 1
				snake_case   :				int				 =   1
				if upper_limit > 0:
								snake_case   :				str				 =   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(lowercase			):
												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:
						__snake_case             =   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 typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available, is_vision_available


__snake_case             =   {
    """configuration_conditional_detr""": [
        """CONDITIONAL_DETR_PRETRAINED_CONFIG_ARCHIVE_MAP""",
        """ConditionalDetrConfig""",
        """ConditionalDetrOnnxConfig""",
    ]
}

try:
  if not is_vision_available():
    raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
  pass
else:
  __snake_case             =   ["""ConditionalDetrFeatureExtractor"""]
  __snake_case             =   ["""ConditionalDetrImageProcessor"""]

try:
  if not is_torch_available():
    raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
  pass
else:
  __snake_case             =   [
      """CONDITIONAL_DETR_PRETRAINED_MODEL_ARCHIVE_LIST""",
      """ConditionalDetrForObjectDetection""",
      """ConditionalDetrForSegmentation""",
      """ConditionalDetrModel""",
      """ConditionalDetrPreTrainedModel""",
  ]


if TYPE_CHECKING:
  from .configuration_conditional_detr import (
      CONDITIONAL_DETR_PRETRAINED_CONFIG_ARCHIVE_MAP,
      ConditionalDetrConfig,
      ConditionalDetrOnnxConfig,
  )

  try:
    if not is_vision_available():
      raise OptionalDependencyNotAvailable()
  except OptionalDependencyNotAvailable:
    pass
  else:
    from .feature_extraction_conditional_detr import ConditionalDetrFeatureExtractor
    from .image_processing_conditional_detr import ConditionalDetrImageProcessor

  try:
    if not is_torch_available():
      raise OptionalDependencyNotAvailable()
  except OptionalDependencyNotAvailable:
    pass
  else:
    from .modeling_conditional_detr import (
        CONDITIONAL_DETR_PRETRAINED_MODEL_ARCHIVE_LIST,
        ConditionalDetrForObjectDetection,
        ConditionalDetrForSegmentation,
        ConditionalDetrModel,
        ConditionalDetrPreTrainedModel,
    )

else:
  import sys

  __snake_case             =   _LazyModule(__name__, globals()["""__file__"""], _import_structure, module_spec=__spec__)





