from itertools import permutations







def 					__lowerCAmelCase				(		__SCREAMING_SNAKE_CASE       :					int = 5   ):







    '''simple docstring'''
    if gon_side < 3 or gon_side > 5:
        raise ValueError("""gon_side must be in the range [3, 5]"""   )

    # Since it's 16, we know 10 is on the outer ring
    # Put the big numbers at the end so that they are never the first number
    __snake_case       :				List[Any] 			=    list(range(gon_side + 1		,							0		,							-1   )   )
    __snake_case       :				Optional[int] 			=    list(range(gon_side + 2		,							gon_side * 2 + 1   )   )

    for perm in permutations(small_numbers + big_numbers   ):
        __snake_case       :				List[str] 			=    generate_gon_ring(__SCREAMING_SNAKE_CASE		,							list(__SCREAMING_SNAKE_CASE   )   )
        if is_magic_gon(__SCREAMING_SNAKE_CASE   ):
            return int("""""".join(str(__SCREAMING_SNAKE_CASE   ) for n in numbers   )   )

    __snake_case       :				Union[str, Any] 			=    F'''Magic {gon_side}-gon ring is impossible'''
    raise ValueError(__SCREAMING_SNAKE_CASE   )







def 					__lowerCAmelCase				(		__SCREAMING_SNAKE_CASE       :					int		,							__SCREAMING_SNAKE_CASE       :					list[int]   ):







    '''simple docstring'''
    __snake_case       :				str 			=    [0] * (gon_side * 3)
    __snake_case       :				Any 			=    perm[0:3]
    perm.append(perm[1]   )

    __snake_case       :				List[Any] 			=    1 if gon_side < 5 else 2

    for i in range(1		,							len(__SCREAMING_SNAKE_CASE   ) // 3 + magic_number   ):
        __snake_case       :				str 			=    perm[2 * i + 1]
        __snake_case       :				Optional[Any] 			=    result[3 * i - 1]
        __snake_case       :				Optional[Any] 			=    perm[2 * i + 2]

    return result







def 					__lowerCAmelCase				(		__SCREAMING_SNAKE_CASE       :					list[int]   ):







    '''simple docstring'''
    if len(__SCREAMING_SNAKE_CASE   ) % 3 != 0:
        raise ValueError("""a gon ring should have a length that is a multiple of 3"""   )

    if min(numbers[::3]   ) != numbers[0]:
        return False

    __snake_case       :				str 			=    sum(numbers[:3]   )

    return all(sum(numbers[i : i + 3]   ) == total for i in range(3		,							len(__SCREAMING_SNAKE_CASE   )		,							3   )   )


if __name__ == "__main__":
     print(solution())




from collections import OrderedDict
from typing import Mapping

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


lowercase_  							=			logging.get_logger(__name__)

lowercase_  							=			{
    "google/mobilebert-uncased": "https://huggingface.co/google/mobilebert-uncased/resolve/main/config.json"
}







class      SCREAMING_SNAKE_CASE__					(  __UpperCamelCase    ):
       A							:	List[Any]          =	MOBILEBERT_PRETRAINED_CONFIG_ARCHIVE_MAP
       A							:	int          =	"mobilebert"

       def __init__(							self					:     Any			,			_lowerCAmelCase					:     Union[str, Any]=3_05_22			,			_lowerCAmelCase					:     Tuple=5_12			,			_lowerCAmelCase					:     Dict=24			,			_lowerCAmelCase					:     int=4			,			_lowerCAmelCase					:     Optional[Any]=5_12			,			_lowerCAmelCase					:     Union[str, Any]="relu"			,			_lowerCAmelCase					:     List[str]=0.0			,			_lowerCAmelCase					:     str=0.1			,			_lowerCAmelCase					:     Tuple=5_12			,			_lowerCAmelCase					:     Optional[Any]=2			,			_lowerCAmelCase					:     Optional[int]=0.02			,			_lowerCAmelCase					:     List[str]=1e-12			,			_lowerCAmelCase					:     int=0			,			_lowerCAmelCase					:     Union[str, Any]=1_28			,			_lowerCAmelCase					:     Optional[Any]=True			,			_lowerCAmelCase					:     Dict=True			,			_lowerCAmelCase					:     Any=1_28			,			_lowerCAmelCase					:     Optional[int]=False			,			_lowerCAmelCase					:     str=True			,			_lowerCAmelCase					:     Tuple=4			,			_lowerCAmelCase					:     List[str]="no_norm"			,			_lowerCAmelCase					:     Union[str, Any]=True			,			_lowerCAmelCase					:     Optional[int]=None			,			**_lowerCAmelCase					:     int			,			):
           super().__init__(pad_token_id=_lowerCAmelCase			,			**_lowerCAmelCase			)

           __snake_case       :				Any 			=    vocab_size
           __snake_case       :				Tuple 			=    hidden_size
           __snake_case       :				int 			=    num_hidden_layers
           __snake_case       :				Dict 			=    num_attention_heads
           __snake_case       :				List[Any] 			=    hidden_act
           __snake_case       :				List[Any] 			=    intermediate_size
           __snake_case       :				Union[str, Any] 			=    hidden_dropout_prob
           __snake_case       :				Any 			=    attention_probs_dropout_prob
           __snake_case       :				Any 			=    max_position_embeddings
           __snake_case       :				List[Any] 			=    type_vocab_size
           __snake_case       :				List[Any] 			=    initializer_range
           __snake_case       :				Dict 			=    layer_norm_eps
           __snake_case       :				Any 			=    embedding_size
           __snake_case       :				List[str] 			=    trigram_input
           __snake_case       :				Union[str, Any] 			=    use_bottleneck
           __snake_case       :				List[Any] 			=    intra_bottleneck_size
           __snake_case       :				Tuple 			=    use_bottleneck_attention
           __snake_case       :				Optional[Any] 			=    key_query_shared_bottleneck
           __snake_case       :				Tuple 			=    num_feedforward_networks
           __snake_case       :				int 			=    normalization_type
           __snake_case       :				List[Any] 			=    classifier_activation

           if self.use_bottleneck:
               __snake_case       :				List[str] 			=    intra_bottleneck_size
           else:
               __snake_case       :				int 			=    hidden_size

           __snake_case       :				Optional[Any] 			=    classifier_dropout







class      SCREAMING_SNAKE_CASE__					(  __UpperCamelCase    ):

       @property
       def 			snake_case__    (							self					:     Optional[Any]			):
           if self.task == "multiple-choice":
               __snake_case       :				Any 			=    {0: """batch""", 1: """choice""", 2: """sequence"""}
           else:
               __snake_case       :				Optional[Any] 			=    {0: """batch""", 1: """sequence"""}
           return OrderedDict(
               [
                   ("""input_ids""", dynamic_axis),
                   ("""attention_mask""", dynamic_axis),
                   ("""token_type_ids""", dynamic_axis),
               ]			)



