'''simple docstring'''

import unittest

from transformers.utils.backbone_utils import (
    BackboneMixin,
    get_aligned_output_features_output_indices,
    verify_out_features_out_indices,
)



class 			UpperCAmelCase  (						unittest.TestCase					):





       '''simple docstring'''



       def _lowerCAmelCase(						self )  ->  Tuple:
        lowercase__				:    Dict  =					["""a""", """b""", """c"""]

        # Defaults to last layer if both are None
        lowercase__				:    List[Any]  =					get_aligned_output_features_output_indices(__lowerCAmelCase	,   __lowerCAmelCase	,   __lowerCAmelCase )
        self.assertEqual(__lowerCAmelCase	,   ['''c'''] )
        self.assertEqual(__lowerCAmelCase	,   [2] )

        # Out indices set to match out features
        lowercase__				:    Tuple  =					get_aligned_output_features_output_indices(['''a''', '''c''']	,   __lowerCAmelCase	,   __lowerCAmelCase )
        self.assertEqual(__lowerCAmelCase	,   ['''a''', '''c'''] )
        self.assertEqual(__lowerCAmelCase	,   [0, 2] )

        # Out features set to match out indices
        lowercase__				:    Optional[int]  =					get_aligned_output_features_output_indices(__lowerCAmelCase	,   [0, 2]	,   __lowerCAmelCase )
        self.assertEqual(__lowerCAmelCase	,   ['''a''', '''c'''] )
        self.assertEqual(__lowerCAmelCase	,   [0, 2] )

        # Out features selected from negative indices
        lowercase__				:    Union[str, Any]  =					get_aligned_output_features_output_indices(__lowerCAmelCase	,   [-3, -1]	,   __lowerCAmelCase )
        self.assertEqual(__lowerCAmelCase	,   ['''a''', '''c'''] )
        self.assertEqual(__lowerCAmelCase	,   [-3, -1] )

       def _lowerCAmelCase(						self )  ->  Any:
        # Stage names must be set
        with self.assertRaises(__lowerCAmelCase ):
         verify_out_features_out_indices(['''a''', '''b''']	,   (0, 1)	,   __lowerCAmelCase )

        # Out features must be a list
        with self.assertRaises(__lowerCAmelCase ):
         verify_out_features_out_indices(('''a''', '''b''')	,   (0, 1)	,   ['''a''', '''b'''] )

        # Out features must be a subset of stage names
        with self.assertRaises(__lowerCAmelCase ):
         verify_out_features_out_indices(['''a''', '''b''']	,   (0, 1)	,   ['''a'''] )

        # Out indices must be a list or tuple
        with self.assertRaises(__lowerCAmelCase ):
         verify_out_features_out_indices(__lowerCAmelCase	,   0	,   ['''a''', '''b'''] )

        # Out indices must be a subset of stage names
        with self.assertRaises(__lowerCAmelCase ):
         verify_out_features_out_indices(__lowerCAmelCase	,   (0, 1)	,   ['''a'''] )

        # Out features and out indices must be the same length
        with self.assertRaises(__lowerCAmelCase ):
         verify_out_features_out_indices(['''a''', '''b''']	,   (0,)	,   ['''a''', '''b''', '''c'''] )

        # Out features should match out indices
        with self.assertRaises(__lowerCAmelCase ):
         verify_out_features_out_indices(['''a''', '''b''']	,   (0, 2)	,   ['''a''', '''b''', '''c'''] )

        # Out features and out indices should be in order
        with self.assertRaises(__lowerCAmelCase ):
         verify_out_features_out_indices(['''b''', '''a''']	,   (0, 1)	,   ['''a''', '''b'''] )

        # Check passes with valid inputs
        verify_out_features_out_indices(['''a''', '''b''', '''d''']	,   (0, 1, -1)	,   ['''a''', '''b''', '''c''', '''d'''] )


       def _lowerCAmelCase(						self )  ->  Any:
        lowercase__				:    str  =					BackboneMixin()

        lowercase__				:    Optional[int]  =					["""a""", """b""", """c"""]
        lowercase__				:    Tuple  =					["""a""", """c"""]
        lowercase__				:    Any  =					[0, 2]

        # Check that the output features and indices are set correctly
        self.assertEqual(backbone.out_features	,   ['''a''', '''c'''] )
        self.assertEqual(backbone.out_indices	,   [0, 2] )

        # Check out features and indices are updated correctly
        lowercase__				:    Any  =					["""a""", """b"""]
        self.assertEqual(backbone.out_features	,   ['''a''', '''b'''] )
        self.assertEqual(backbone.out_indices	,   [0, 1] )

        lowercase__				:    List[str]  =					[-3, -1]
        self.assertEqual(backbone.out_features	,   ['''a''', '''c'''] )
        self.assertEqual(backbone.out_indices	,   [-3, -1] )



def     _a					(						lowerCamelCase = 100_0000							):
 lowerCamelCase		:	Any							=      set(range(3,	lowerCamelCase,	2							)							)
 primes.add(2							)
 for p in range(3,	lowerCamelCase,	2							):
  if p not in primes:
   continue
  primes.difference_update(set(range(p * p,	lowerCamelCase,	lowerCamelCase							)							)							)

 lowerCamelCase		:	Any							=      [float(lowerCamelCase							) for n in range(limit + 1							)]

 for p in primes:
  for n in range(lowerCamelCase,	limit + 1,	lowerCamelCase							):
   phi[n] *= 1 - 1 / p

 return int(sum(phi[2:]							)							)


if __name__ == "__main__":
      print(f'''{solution() = }''')




