



"""simple docstring"""





from collections import OrderedDict
from typing import Mapping

from ...configuration_utils import PretrainedConfig
from ...onnx import OnnxConfig
from ...utils import logging


__lowerCAmelCase       :					Union[str, Any]      					=					logging.get_logger(__name__)

__lowerCAmelCase       :					Union[str, Any]      					=					{
    '''kssteven/ibert-roberta-base''': '''https://huggingface.co/kssteven/ibert-roberta-base/resolve/main/config.json''',
    '''kssteven/ibert-roberta-large''': '''https://huggingface.co/kssteven/ibert-roberta-large/resolve/main/config.json''',
    '''kssteven/ibert-roberta-large-mnli''': (
        '''https://huggingface.co/kssteven/ibert-roberta-large-mnli/resolve/main/config.json'''
    ),
}



class    _lowerCAmelCase    (				SCREAMING_SNAKE_CASE__		):





		"""simple docstring"""






		_lowerCamelCase			  =       '''ibert'''





		def __init__(					self							,    _lowercase=3_0_5_2_2							,    _lowercase=7_6_8							,    _lowercase=1_2							,    _lowercase=1_2							,    _lowercase=3_0_7_2							,    _lowercase="gelu"							,    _lowercase=0.1							,    _lowercase=0.1							,    _lowercase=5_1_2							,    _lowercase=2							,    _lowercase=0.02							,    _lowercase=1E-12							,    _lowercase=1							,    _lowercase=0							,    _lowercase=2							,    _lowercase="absolute"							,    _lowercase=False							,    _lowercase="none"							,    **_lowercase							,    ) ->						Union[str, Any]:







								'''simple docstring'''

								super().__init__(pad_token_id=_lowercase							,    bos_token_id=_lowercase							,    eos_token_id=_lowercase							,    **_lowercase   )

								snake_case_   : Dict						=			vocab_size
								snake_case_   : Tuple						=			hidden_size
								snake_case_   : List[Any]						=			num_hidden_layers
								snake_case_   : int						=			num_attention_heads
								snake_case_   : Tuple						=			hidden_act
								snake_case_   : Tuple						=			intermediate_size
								snake_case_   : int						=			hidden_dropout_prob
								snake_case_   : Dict						=			attention_probs_dropout_prob
								snake_case_   : Tuple						=			max_position_embeddings
								snake_case_   : List[Any]						=			type_vocab_size
								snake_case_   : str						=			initializer_range
								snake_case_   : Optional[Any]						=			layer_norm_eps
								snake_case_   : str						=			position_embedding_type
								snake_case_   : Union[str, Any]						=			quant_mode
								snake_case_   : List[str]						=			force_dequant




class    _lowerCAmelCase    (				SCREAMING_SNAKE_CASE__		):





		"""simple docstring"""






		@property
		def    UpperCAmelCase__							(					self   ) ->						Mapping[str, Mapping[int, str]]:







								'''simple docstring'''

								if self.task == "multiple-choice":
														snake_case_   : List[Any]						=			{0: """batch""", 1: """choice""", 2: """sequence"""}
								else:
														snake_case_   : List[str]						=			{0: """batch""", 1: """sequence"""}
								return OrderedDict(
								    [
								        ("""input_ids""", dynamic_axis),
								        ("""attention_mask""", dynamic_axis),
								    ]   )






"""simple docstring"""





def 	__lowerCAmelCase						(		__UpperCamelCase      :			int					, __UpperCamelCase      :			int    ):


						'''simple docstring'''






						snake_case_   : Any						=			1  # To kept the Calculated Value
						# Since C(n, k) = C(n, n-k)
						if k > (n - k):
												snake_case_   : Optional[int]						=			n - k
						# Calculate C(n,k)
						for i in range(__UpperCamelCase    ):
												result *= n - i
												result //= i + 1
						return result
def 	__lowerCAmelCase						(		__UpperCamelCase      :			int    ):


						'''simple docstring'''






						return binomial_coefficient(2 * node_count					, __UpperCamelCase    ) // (node_count + 1)
def 	__lowerCAmelCase						(		__UpperCamelCase      :			int    ):


						'''simple docstring'''






						if n < 0:
												raise ValueError("""factorial() not defined for negative values"""    )
						snake_case_   : Optional[int]						=			1
						for i in range(1					, n + 1    ):
												result *= i
						return result
def 	__lowerCAmelCase						(		__UpperCamelCase      :			int    ):


						'''simple docstring'''






						return catalan_number(__UpperCamelCase    ) * factorial(__UpperCamelCase    )


if __name__ == "__main__":
					__lowerCAmelCase       :					Optional[Any]      					=					int(input('''Enter the number of nodes: ''').strip() or 0)
					if node_count <= 0:
										raise ValueError('''We need some nodes to work with.''')
					print(
					    F'''Given {node_count} nodes, there are {binary_tree_count(node_count)} '''
					    F'''binary trees and {catalan_number(node_count)} binary search trees.'''
					)

