





from __future__ import annotations

from collections import namedtuple
from dataclasses import dataclass







@dataclass
class 			__A       :




						"""simple docstring"""







						UpperCAmelCase__						=      42
						UpperCAmelCase__						=      None
						UpperCAmelCase__						=      None
_lowerCamelCase			       =      namedtuple('CoinsDistribResult', 'moves excess')




def    __UpperCAmelCase(      lowercase_      ):

							if root is None:
														return 0

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

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

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

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

														_lowerCamelCase,  _lowerCamelCase							:     int	=		get_distrib(node.left      )
														_lowerCamelCase,  _lowerCamelCase							:     Optional[int]	=		get_distrib(node.right      )

														_lowerCamelCase							:     str	=		1 - left_distrib_excess
														_lowerCamelCase							:     Optional[Any]	=		1 - right_distrib_excess

														_lowerCamelCase							:     int	=		(
														    left_distrib_moves
														    + right_distrib_moves
														    + abs(SCREAMING_SNAKE_CASE_      )
														    + abs(SCREAMING_SNAKE_CASE_      )
														)
														_lowerCamelCase							:     Optional[int]	=		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 unittest

from knapsack import knapsack as k







class 			__A       (      unittest.TestCase  ):




      """simple docstring"""







      def 				__snake_case			(		self):



             """simple docstring"""





             _lowerCamelCase							:     Dict	=		0
             _lowerCamelCase							:     int	=		[0]
             _lowerCamelCase							:     Optional[int]	=		[0]
             _lowerCamelCase							:     Dict	=		len(a__)
             self.assertEqual(k.knapsack(a__      ,							a__      ,							a__      ,							a__)      ,							0)

             _lowerCamelCase							:     str	=		[60]
             _lowerCamelCase							:     List[str]	=		[10]
             _lowerCamelCase							:     List[Any]	=		len(a__)
             self.assertEqual(k.knapsack(a__      ,							a__      ,							a__      ,							a__)      ,							0)


      def 				__snake_case			(		self):



             """simple docstring"""





             _lowerCamelCase							:     Union[str, Any]	=		3
             _lowerCamelCase							:     List[Any]	=		[1, 2, 3]
             _lowerCamelCase							:     Dict	=		[3, 2, 1]
             _lowerCamelCase							:     Any	=		len(a__)
             self.assertEqual(k.knapsack(a__      ,							a__      ,							a__      ,							a__)      ,							5)



      def 				__snake_case			(		self):



             """simple docstring"""





             _lowerCamelCase							:     Optional[Any]	=		50
             _lowerCamelCase							:     Dict	=		[60, 100, 120]
             _lowerCamelCase							:     Dict	=		[10, 20, 30]
             _lowerCamelCase							:     Union[str, Any]	=		len(a__)
             self.assertEqual(k.knapsack(a__      ,							a__      ,							a__      ,							a__)      ,							220)


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

