
"""simple docstring"""







from itertools import permutations
def       __UpperCAmelCase		(		a_      :		int = 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
   _UpperCAmelCase 						=       list(range(gon_side + 1     ,	0     ,	-1					)					)
   _UpperCAmelCase 						=       list(range(gon_side + 2     ,	gon_side * 2 + 1					)					)

   for perm in permutations(small_numbers + big_numbers					):
      _UpperCAmelCase 						=       generate_gon_ring(a_     ,	list(a_					)					)
      if is_magic_gon(a_					):
         return int("".join(str(a_					) for n in numbers					)					)

   _UpperCAmelCase 						=       F'''Magic {gon_side}-gon ring is impossible'''
   raise ValueError(a_					)
def       __UpperCAmelCase		(		a_      :		int     ,	a_      :		list[int]					)  ->							list[int]:
   _UpperCAmelCase 						=       [0] * (gon_side * 3)
   _UpperCAmelCase 						=       perm[0:3]
   perm.append(perm[1]					)

   _UpperCAmelCase 						=       1 if gon_side < 5 else 2

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

   return result
def       __UpperCAmelCase		(		a_      :		list[int]					)  ->							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

   _UpperCAmelCase 						=       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 typing import TYPE_CHECKING

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


SCREAMING_SNAKE_CASE_  					= {'configuration_detr': ['DETR_PRETRAINED_CONFIG_ARCHIVE_MAP', 'DetrConfig', 'DetrOnnxConfig']}

try:
  if not is_vision_available():
    raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
  pass
else:
  SCREAMING_SNAKE_CASE_  					= ['DetrFeatureExtractor']
  SCREAMING_SNAKE_CASE_  					= ['DetrImageProcessor']

try:
  if not is_torch_available():
    raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
  pass
else:
  SCREAMING_SNAKE_CASE_  					= [
      'DETR_PRETRAINED_MODEL_ARCHIVE_LIST',
      'DetrForObjectDetection',
      'DetrForSegmentation',
      'DetrModel',
      'DetrPreTrainedModel',
  ]


if TYPE_CHECKING:
  from .configuration_detr import DETR_PRETRAINED_CONFIG_ARCHIVE_MAP, DetrConfig, DetrOnnxConfig

  try:
    if not is_vision_available():
      raise OptionalDependencyNotAvailable()
  except OptionalDependencyNotAvailable:
    pass
  else:
    from .feature_extraction_detr import DetrFeatureExtractor
    from .image_processing_detr import DetrImageProcessor

  try:
    if not is_torch_available():
      raise OptionalDependencyNotAvailable()
  except OptionalDependencyNotAvailable:
    pass
  else:
    from .modeling_detr import (
        DETR_PRETRAINED_MODEL_ARCHIVE_LIST,
        DetrForObjectDetection,
        DetrForSegmentation,
        DetrModel,
        DetrPreTrainedModel,
    )

else:
  import sys

  SCREAMING_SNAKE_CASE_  					= _LazyModule(__name__, globals()['__file__'], _import_structure, module_spec=__spec__)

