





"""simple docstring"""





def 			UpperCAmelCase__							(  SCREAMING_SNAKE_CASE     :						list[int]			):







      '''simple docstring'''




      if not numbers:
            return 0

      if not isinstance(SCREAMING_SNAKE_CASE							,						(list, tuple)			) or not all(
          isinstance(SCREAMING_SNAKE_CASE							,						SCREAMING_SNAKE_CASE			) for number in numbers			):
            raise ValueError("""numbers must be an iterable of integers"""			)

      lowerCAmelCase  						=       lowerCAmelCase  						=       lowerCAmelCase  						=       numbers[0]

      for i in range(1							,						len(SCREAMING_SNAKE_CASE			)			):
            # update the maximum and minimum subarray products
            lowerCAmelCase  						=       numbers[i]
            if number < 0:
                  lowerCAmelCase						,		lowerCAmelCase  						=       min_till_now, max_till_now
            lowerCAmelCase  						=       max(SCREAMING_SNAKE_CASE							,						max_till_now * number			)
            lowerCAmelCase  						=       min(SCREAMING_SNAKE_CASE							,						min_till_now * number			)

            # update the maximum product found till now
            lowerCAmelCase  						=       max(SCREAMING_SNAKE_CASE							,						SCREAMING_SNAKE_CASE			)

      return max_prod








from __future__ import annotations

from collections import namedtuple
from dataclasses import dataclass

@dataclass
class __snake_case		:
    _a		:						int
    _a		:						TreeNode | None=				None
    _a		:						TreeNode | None=				None






lowercase  :					Dict						    =							namedtuple("""CoinsDistribResult""", """moves excess""")







def 						_snake_case(  SCREAMING_SNAKE_CASE__				) ->    int:

       if root is None:
              return 0

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

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

       def count_coins(SCREAMING_SNAKE_CASE__				) -> 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(SCREAMING_SNAKE_CASE__				) -> CoinsDistribResult:

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

              lowercase	,			lowercase							:     int       	=      get_distrib(node.left				)
              lowercase	,			lowercase							:     List[Any]       	=      get_distrib(node.right				)

              lowercase							:     Optional[Any]       	=      1 - left_distrib_excess
              lowercase							:     Union[str, Any]       	=      1 - right_distrib_excess

              lowercase							:     List[Any]       	=      (
                  left_distrib_moves
                  + right_distrib_moves
                  + abs(SCREAMING_SNAKE_CASE__				)
                  + abs(SCREAMING_SNAKE_CASE__				)
              )
              lowercase							:     Any       	=      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()
