


from __future__ import annotations

from collections import namedtuple
from dataclasses import dataclass







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







snake_case    :   int	    =					namedtuple('''CoinsDistribResult''', '''moves excess''')
def     __lowerCamelCase						(			UpperCAmelCase_						:		Any						):




      """simple docstring"""





      if root is None:
            return 0

      # Validation
      def count_nodes(UpperCAmelCase_						:		Optional[int]						) -> int:
            if node is None:
                  return 0

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

      def count_coins(UpperCAmelCase_						:		str						) -> 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_						:		List[str]						) -> CoinsDistribResult:

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

            a						:Optional[Any]										=	get_distrib(node.left						)
            a						:Optional[int]										=	get_distrib(node.right						)

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

            a						:Dict										=	(
                left_distrib_moves
                + right_distrib_moves
                + abs(__SCREAMING_SNAKE_CASE						)
                + abs(__SCREAMING_SNAKE_CASE						)
            )
            a						:List[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()









import math
def     __lowerCamelCase						(			UpperCAmelCase_						:		float			,  UpperCAmelCase_						:		float						):




      """simple docstring"""





      return math.pow(UpperCAmelCase_			,  2						) - a
def     __lowerCamelCase						(			UpperCAmelCase_						:		float						):




      """simple docstring"""





      return 2 * x
def     __lowerCamelCase						(			UpperCAmelCase_						:		float						):




      """simple docstring"""





      a						:int										=	2.0

      while start <= a:
            a						:int										=	math.pow(UpperCAmelCase_			,  2						)

      return start
def     __lowerCamelCase						(			UpperCAmelCase_						:		float			,  UpperCAmelCase_						:		int = 9999			,  UpperCAmelCase_						:		float = 0.00000000000001						):




      """simple docstring"""





      if a < 0:
            raise ValueError('''math domain error'''						)

      a						:List[Any]										=	get_initial_point(UpperCAmelCase_						)

      for _ in range(UpperCAmelCase_						):
            a						:Optional[int]										=	value
            a						:int										=	value - fx(UpperCAmelCase_			,  UpperCAmelCase_						) / fx_derivative(UpperCAmelCase_						)
            if abs(prev_value - value						) < tolerance:
                  return value

      return value


if __name__ == "__main__":
     from doctest import testmod

     testmod()





