

"""simple docstring"""





from __future__ import annotations

from collections import namedtuple
from dataclasses import dataclass




@dataclass
class 					_lowerCAmelCase  :







 """simple docstring"""







 __UpperCAmelCase	:					int
 __UpperCAmelCase	:					TreeNode | None   		=	None
 __UpperCAmelCase	:					TreeNode | None   		=	None







_a       =							namedtuple('CoinsDistribResult', 'moves excess')




def   _A  (  UpperCamelCase_     :       TreeNode | None)	->						Tuple:
   '''simple docstring'''


   if root is None:
      return 0

   # Validation
   def count_nodes(UpperCamelCase_     :       TreeNode | None) -> int:
      if node is None:
         return 0

      return count_nodes(node.left) + count_nodes(node.right) + 1

   def count_coins(UpperCamelCase_     :       TreeNode | None) -> int:
      if node is None:
         return 0

      return count_coins(node.left) + count_coins(node.right) + node.data

   if count_nodes(SCREAMING_SNAKE_CASE__) != count_coins(SCREAMING_SNAKE_CASE__):
      raise ValueError("The nodes number should be same as the number of coins")

   # Main calculation
   def get_distrib(UpperCamelCase_     :       TreeNode | None) -> CoinsDistribResult:

      if node is None:
         return CoinsDistribResult(0,			1)

      __lowercase								=						get_distrib(node.left)
      __lowercase								=						get_distrib(node.right)

      __lowercase								=						1 - left_distrib_excess
      __lowercase								=						1 - right_distrib_excess

      __lowercase								=						(
          left_distrib_moves
          + right_distrib_moves
          + abs(SCREAMING_SNAKE_CASE__)
          + abs(SCREAMING_SNAKE_CASE__)
      )
      __lowercase								=						node.data - coins_to_left - coins_to_right

      return CoinsDistribResult(SCREAMING_SNAKE_CASE__,			SCREAMING_SNAKE_CASE__)

   return get_distrib(SCREAMING_SNAKE_CASE__)[0]


if __name__ == "__main__":
   import doctest

   doctest.testmod()








def 	a_      (    SCREAMING_SNAKE_CASE__					:      str		,			SCREAMING_SNAKE_CASE__					:      str     ):
       '''simple docstring'''





       assert x is not None
       assert y is not None

       _lowerCamelCase       :		Dict		=len(SCREAMING_SNAKE_CASE__     )
       _lowerCamelCase       :		Optional[Any]		=len(SCREAMING_SNAKE_CASE__     )

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

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

                     _lowerCamelCase       :		Union[str, Any]		=max(l[i - 1][j]		,			l[i][j - 1]		,			l[i - 1][j - 1] + match     )

       _lowerCamelCase       :		Optional[int]		=''
       _lowerCamelCase	,     _lowerCamelCase       :		Dict		=m, n
       while i > 0 and j > 0:
              _lowerCamelCase       :		int		=1 if x[i - 1] == y[j - 1] else 0

              if l[i][j] == l[i - 1][j - 1] + match:
                     if match == 1:
                            _lowerCamelCase       :		Union[str, Any]		=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__":
 lowerCamelCase											=       'AGGTAB'
 lowerCamelCase											=       'GXTXAYB'
 lowerCamelCase											=       4
 lowerCamelCase											=       'GTAB'

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

 doctest.testmod()


