





'''simple docstring'''

def  a__    (    lowercase :					int, lowercase :					int				)		->		int:





     """simple docstring"""

     return x if y == 0 else greatest_common_divisor(lowercase, x % y				)







def  a__    (    lowercase :					int, lowercase :					int				)		->		int:





     """simple docstring"""

     return (x * y) // greatest_common_divisor(lowercase, lowercase				)







def  a__    (    lowercase :					int = 20				)		->		int:





     """simple docstring"""

     _UpperCamelCase       =	1
     for i in range(1, n + 1				):
          _UpperCamelCase       =	lcm(lowercase, lowercase				)
     return g


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










'''simple docstring'''

import unittest

from transformers.utils.backbone_utils import (
    BackboneMixin,
    get_aligned_output_features_output_indices,
    verify_out_features_out_indices,
)
class     __lowerCAmelCase					(   unittest.TestCase			):






       """simple docstring"""





       def snake_case__						(							self       :		Optional[Any]					)   ->					List[str]:

            '''simple docstring'''




            _UpperCamelCase       =	['''a''', '''b''', '''c''']

            # Defaults to last layer if both are None
            _UpperCamelCase   ,    _UpperCamelCase       =	get_aligned_output_features_output_indices(lowerCAmelCase__	,			lowerCAmelCase__	,			lowerCAmelCase__					)
            self.assertEqual(lowerCAmelCase__	,			['''c''']					)
            self.assertEqual(lowerCAmelCase__	,			[2]					)

            # Out indices set to match out features
            _UpperCamelCase   ,    _UpperCamelCase       =	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
            _UpperCamelCase   ,    _UpperCamelCase       =	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
            _UpperCamelCase   ,    _UpperCamelCase       =	get_aligned_output_features_output_indices(lowerCAmelCase__	,			[-3, -1]	,			lowerCAmelCase__					)
            self.assertEqual(lowerCAmelCase__	,			['''a''', '''c''']					)
            self.assertEqual(lowerCAmelCase__	,			[-3, -1]					)





       def snake_case__						(							self       :		Any					)   ->					Union[str, Any]:

            '''simple docstring'''




            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 snake_case__						(							self       :		Any					)   ->					str:

            '''simple docstring'''




            _UpperCamelCase       =	BackboneMixin()

            _UpperCamelCase       =	['''a''', '''b''', '''c''']
            _UpperCamelCase       =	['''a''', '''c''']
            _UpperCamelCase       =	[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
            _UpperCamelCase       =	['''a''', '''b''']
            self.assertEqual(backbone.out_features	,			['''a''', '''b''']					)
            self.assertEqual(backbone.out_indices	,			[0, 1]					)

            _UpperCamelCase       =	[-3, -1]
            self.assertEqual(backbone.out_features	,			['''a''', '''c''']					)
            self.assertEqual(backbone.out_indices	,			[-3, -1]					)



