def        lowerCAmelCase_			(					__A							)					->    "list[int]":







      '''simple docstring'''


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

      UpperCAmelCase__								=  [0] * (upper_limit + 1)

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




# Copyright 2021 The HuggingFace Team. All rights reserved.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
#     http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.

import argparse

from .config import config_command_parser
from .config_args import default_config_file, load_config_from_file  # noqa: F401
from .default import default_command_parser
from .update import update_command_parser




def        lowerCAmelCase_			(					__A=None							)					->    str:







      '''simple docstring'''


      UpperCAmelCase__								=  argparse.ArgumentParser(add_help=__A,  allow_abbrev=__A							)
      # The main config parser
      UpperCAmelCase__								=  config_command_parser(__A							)
      # The subparser to add commands to
      UpperCAmelCase__								=  config_parser.add_subparsers(title="subcommands",  dest="subcommand"							)

      # Then add other parsers with the parent parser
      default_command_parser(__A,  parents=[parent_parser]							)
      update_command_parser(__A,  parents=[parent_parser]							)

      return config_parser




def        lowerCAmelCase_			(					)					->    Any:







      '''simple docstring'''


      UpperCAmelCase__								=  get_config_parser()
      UpperCAmelCase__								=  config_parser.parse_args()

      if not hasattr(__A,  "func"							):
            config_parser.print_help()
            exit(1							)

      # Run
      args.func(__A							)


if __name__ == "__main__":
      main()



