






def      _lowerCamelCase	(						__A    :							str		,		__A    :							str )      ->					Tuple:
    assert x is not None
    assert y is not None

    _UpperCAmelCase				:      Optional[int]			  =				len(__A )
    _UpperCAmelCase				:      List[Any]			  =				len(__A )

    # declaring the array for storing the dp values
    _UpperCAmelCase				:      Dict			  =				[[0] * (n + 1) for _ in range(m + 1 )]  # noqa: E741

    for i in range(1		,		m + 1 ):
        for j in range(1		,		n + 1 ):
            _UpperCAmelCase				:      Dict			  =				1 if x[i - 1] == y[j - 1] else 0

            _UpperCAmelCase				:      List[str]			  =				max(l[i - 1][j]		,		l[i][j - 1]		,		l[i - 1][j - 1] + match )

    _UpperCAmelCase				:      int			  =				''''''
    _UpperCAmelCase				:      str			  =				m, n
    while i > 0 and j > 0:
        _UpperCAmelCase				:      Tuple			  =				1 if x[i - 1] == y[j - 1] else 0

        if l[i][j] == l[i - 1][j - 1] + match:
            if match == 1:
                _UpperCAmelCase				:      List[str]			  =				x[i - 1] + seq
            i -= 1
            j -= 1
        elif l[i][j] == l[i - 1][j]:
            i -= 1
        else:
            j -= 1

    return l[m][n], seq


if __name__ == "__main__":
  SCREAMING_SNAKE_CASE 							=						'AGGTAB'
  SCREAMING_SNAKE_CASE 							=						'GXTXAYB'
  SCREAMING_SNAKE_CASE 							=						4
  SCREAMING_SNAKE_CASE 							=						'GTAB'

  SCREAMING_SNAKE_CASE							,			SCREAMING_SNAKE_CASE 							=						longest_common_subsequence(a, b)
  print('len =', ln, ', sub-sequence =', subseq)
  import doctest

  doctest.testmod()












import unittest

from knapsack import knapsack as k
class 							A_    (						unittest.TestCase			):






 '''simple docstring'''




 def  snake_case__				(	self) ->		Dict:

     """simple docstring"""



     _UpperCAmelCase				:      Optional[int]			  =				0
     _UpperCAmelCase				:      List[Any]			  =				[0]
     _UpperCAmelCase				:      Optional[Any]			  =				[0]
     _UpperCAmelCase				:      Optional[int]			  =				len(_A)
     self.assertEqual(k.knapsack(_A							,  _A							,  _A							,  _A)							,  0)

     _UpperCAmelCase				:      Optional[int]			  =				[60]
     _UpperCAmelCase				:      List[str]			  =				[10]
     _UpperCAmelCase				:      str			  =				len(_A)
     self.assertEqual(k.knapsack(_A							,  _A							,  _A							,  _A)							,  0)


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

     """simple docstring"""



     _UpperCAmelCase				:      Any			  =				3
     _UpperCAmelCase				:      int			  =				[1, 2, 3]
     _UpperCAmelCase				:      List[str]			  =				[3, 2, 1]
     _UpperCAmelCase				:      Union[str, Any]			  =				len(_A)
     self.assertEqual(k.knapsack(_A							,  _A							,  _A							,  _A)							,  5)


 def  snake_case__				(	self) ->		Tuple:

     """simple docstring"""



     _UpperCAmelCase				:      List[str]			  =				50
     _UpperCAmelCase				:      Tuple			  =				[60, 100, 120]
     _UpperCAmelCase				:      Optional[int]			  =				[10, 20, 30]
     _UpperCAmelCase				:      Optional[Any]			  =				len(_A)
     self.assertEqual(k.knapsack(_A							,  _A							,  _A							,  _A)							,  220)


if __name__ == "__main__":
  unittest.main()




