

'''simple docstring'''

from itertools import permutations

def     __magic_name__       ( A = 5							)			->		int:
	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(range(gon_side + 1					,   0					,   -1							)							)
	snake_case							 =				list(range(gon_side + 2					,   gon_side * 2 + 1							)							)

	for perm in permutations(small_numbers + big_numbers							):
		snake_case							 =				generate_gon_ring(A					,   list(A							)							)
		if is_magic_gon(A							):
			return int(''.join(str(A							) for n in numbers							)							)

	snake_case							 =				F'''Magic {gon_side}-gon ring is impossible'''
	raise ValueError(A							)

def     __magic_name__       ( A					,   A							)			->		list[int]:
	snake_case							 =				[0] * (gon_side * 3)
	snake_case							 =				perm[0:3]
	perm.append(perm[1]							)

	snake_case							 =				1 if gon_side < 5 else 2

	for i in range(1					,   len(A							) // 3 + magic_number							):
		snake_case							 =				perm[2 * i + 1]
		snake_case							 =				result[3 * i - 1]
		snake_case							 =				perm[2 * i + 2]

	return result

def     __magic_name__       ( A							)			->		bool:
	if len(A							) % 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							 =				sum(numbers[:3]							)

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


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








'''simple docstring'''

from collections import OrderedDict
from typing import Mapping

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


lowerCAmelCase_						   =			logging.get_logger(__name__)

lowerCAmelCase_						   =			{
    "mnaylor/mega-base-wikitext": "https://huggingface.co/mnaylor/mega-base-wikitext/resolve/main/config.json",
}







class lowerCamelCase      (						__lowerCAmelCase							):
				snake_case_           =   '''mega'''

				def __init__(					self,	lowercase_=30522,	lowercase_=128,	lowercase_=4,	lowercase_=256,	lowercase_=16,	lowercase_=True,	lowercase_=64,	lowercase_=False,	lowercase_=-1,	lowercase_=None,	lowercase_=True,	lowercase_="scalenorm",	lowercase_=True,	lowercase_="silu",	lowercase_="softmax",	lowercase_=0.1,	lowercase_=0.1,	lowercase_=0.1,	lowercase_=False,	lowercase_=True,	lowercase_=256,	lowercase_=True,	lowercase_=0.1,	lowercase_=2048,	lowercase_=False,	lowercase_=2,	lowercase_=0.02,	lowercase_=0.2,	lowercase_=0.02,	lowercase_=1.0,	lowercase_=1,	lowercase_=0,	lowercase_=2,	lowercase_="rotary",	lowercase_=None,	lowercase_=True,	lowercase_=True,	**lowercase_,	)						->       List[Any]:
					super().__init__(pad_token_id=lowercase_,	bos_token_id=lowercase_,	eos_token_id=lowercase_,	**lowercase_   )

					snake_case							 =				vocab_size
					snake_case							 =				hidden_size
					snake_case							 =				num_hidden_layers
					snake_case							 =				activation
					snake_case							 =				attention_activation
					snake_case							 =				intermediate_size
					snake_case							 =				ema_projection_size
					snake_case							 =				bidirectional
					snake_case							 =				shared_representation_size
					snake_case							 =				use_chunking
					snake_case							 =				chunk_size
					snake_case							 =				truncation
					snake_case							 =				normalize_before_mega
					snake_case							 =				normalization_type
					snake_case							 =				norm_affine
					snake_case							 =				dropout_prob
					snake_case							 =				hidden_dropout_prob
					snake_case							 =				attention_probs_dropout_prob
					snake_case							 =				use_feature_dropout
					snake_case							 =				use_normalized_ffn
					snake_case							 =				nffn_hidden_size
					snake_case							 =				normalize_before_ffn
					snake_case							 =				nffn_activation_dropout_prob
					snake_case							 =				max_positions
					snake_case							 =				add_token_type_embeddings
					snake_case							 =				type_vocab_size
					snake_case							 =				initializer_range
					snake_case							 =				ema_delta_alpha_range
					snake_case							 =				ema_beta_range
					snake_case							 =				ema_gamma_omega_range
					snake_case							 =				relative_positional_bias
					snake_case							 =				use_cache
					snake_case							 =				classifier_dropout
					snake_case							 =				add_lm_hidden_dense_layer
					snake_case							 =				1  # not used but required by Hugging Face







class lowerCamelCase      (						__lowerCAmelCase							):

				@property
				def 				_lowerCamelCase						(					self   )						->       Mapping[str, Mapping[int, str]]:
					if self.task == "multiple-choice":
						snake_case							 =				{0: 'batch', 1: 'choice', 2: 'sequence'}
					else:
						snake_case							 =				{0: 'batch', 1: 'sequence'}
					return OrderedDict(
					    [
					        ('input_ids', dynamic_axis),
					        ('attention_mask', dynamic_axis),
					    ]   )





