






'''simple docstring'''






from __future__ import annotations

from collections import namedtuple
from dataclasses import dataclass




@dataclass
class a_    :
   _snake_case        =							42
   _snake_case        =							None
   _snake_case        =							None


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




def        _SCREAMING_SNAKE_CASE  (				A  :       TreeNode | None  )    -> int:







   """simple docstring"""

   if root is None:
      return 0

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

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

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

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

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

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

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

      __snake_case				:      List[str]     							= get_distrib(node.left  )
      __snake_case				:      Optional[int]     							= get_distrib(node.right  )

      __snake_case				:      Any     							= 1 - left_distrib_excess
      __snake_case				:      str     							= 1 - right_distrib_excess

      __snake_case				:      List[str]     							= (
          left_distrib_moves
          + right_distrib_moves
          + abs(A  )
          + abs(A  )
      )
      __snake_case				:      List[str]     							= node.data - coins_to_left - coins_to_right

      return CoinsDistribResult(A  ,		A  )

   return get_distrib(A  )[0]


if __name__ == "__main__":
     import doctest

     doctest.testmod()







'''simple docstring'''






def        _SCREAMING_SNAKE_CASE  (				A  :       float  ,		A  :       list[float]  )    -> float:







   """simple docstring"""
   if discount_rate < 0:
      raise ValueError('Discount rate cannot be negative'  )
   if not cash_flows:
      raise ValueError('Cash flows list cannot be empty'  )
   __snake_case				:      List[str]     							= sum(
       cash_flow / ((1 + discount_rate) ** i) for i, cash_flow in enumerate(A  )  )
   return round(A  ,		ndigits=2  )


if __name__ == "__main__":
      import doctest

      doctest.testmod()