from itertools import permutations

def     lowercase_       (    _lowerCamelCase							: int = 5):
    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
    lowercase__				:     List[str]					      =       list(range(gon_side + 1	,			0	,			-1))
    lowercase__				:     Any					      =       list(range(gon_side + 2	,			gon_side * 2 + 1))

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

    lowercase__				:     Dict					      =       f'''Magic {gon_side}-gon ring is impossible'''
    raise ValueError(_lowerCamelCase)

def     lowercase_       (    _lowerCamelCase							: int	,			_lowerCamelCase							: list[int]):
    lowercase__				:     Union[str, Any]					      =       [0] * (gon_side * 3)
    lowercase__				:     Union[str, Any]					      =       perm[0:3]
    perm.append(perm[1])

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

    for i in range(1	,			len(_lowerCamelCase) // 3 + magic_number):
        lowercase__				:     Optional[int]					      =       perm[2 * i + 1]
        lowercase__				:     Tuple					      =       result[3 * i - 1]
        lowercase__				:     Tuple					      =       perm[2 * i + 2]

    return result

def     lowercase_       (    _lowerCamelCase							: list[int]):
    if len(_lowerCamelCase) % 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

    lowercase__				:     Dict					      =       sum(numbers[:3])

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


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




import unittest

from datasets import load_dataset

from transformers import load_tool

from .test_tools_common import ToolTesterMixin



class 						snake_case_ (	unittest.TestCase						,__A ):






   def    __UpperCamelCase  (   self       :  Optional[int]						)      ->		List[Any]:
       lowercase__				:     List[Any]					      =       load_tool("document-question-answering"						)
       self.tool.setup()
       lowercase__				:     Optional[int]					      =       load_tool("document-question-answering"			,		remote=lowercase_						)






   def    __UpperCamelCase  (   self       :  int						)      ->		Optional[int]:
       lowercase__				:     List[Any]					      =       load_dataset("hf-internal-testing/example-documents"			,		split="test"						)
       lowercase__				:     List[Any]					      =       dataset[0]["image"]

       lowercase__				:     int					      =       self.tool(lowercase_			,		"When is the coffee break?"						)
       self.assertEqual(lowercase_			,		"11-14 to 11:39 a.m."						)






   def    __UpperCamelCase  (   self       :  Optional[Any]						)      ->		List[Any]:
       lowercase__				:     str					      =       load_dataset("hf-internal-testing/example-documents"			,		split="test"						)
       lowercase__				:     str					      =       dataset[0]["image"]

       lowercase__				:     List[str]					      =       self.remote_tool(lowercase_			,		"When is the coffee break?"						)
       self.assertEqual(lowercase_			,		"11-14 to 11:39 a.m."						)






   def    __UpperCamelCase  (   self       :  List[Any]						)      ->		Dict:
       lowercase__				:     List[str]					      =       load_dataset("hf-internal-testing/example-documents"			,		split="test"						)
       lowercase__				:     List[str]					      =       dataset[0]["image"]

       self.tool(document=lowercase_			,		question="When is the coffee break?"						)







   def    __UpperCamelCase  (   self       :  str						)      ->		Optional[Any]:
       lowercase__				:     Optional[Any]					      =       load_dataset("hf-internal-testing/example-documents"			,		split="test"						)
       lowercase__				:     int					      =       dataset[0]["image"]

       lowercase__				:     Tuple					      =       self.remote_tool(document=lowercase_			,		question="When is the coffee break?"						)
       self.assertEqual(lowercase_			,		"11-14 to 11:39 a.m."						)



