
"""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






UpperCAmelCase__      :    Optional[int]    							= namedtuple('CoinsDistribResult', 'moves excess')

def lowercase_  (   _snake_case						):

							if root is None:
														return 0

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

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

							def count_coins(_snake_case						) -> int:
														if node is None:
																					return 0

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

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

							# Main calculation
							def get_distrib(_snake_case						) -> CoinsDistribResult:

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

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

														SCREAMING_SNAKE_CASE__						:       str           =   1 - left_distrib_excess
														SCREAMING_SNAKE_CASE__						:       int           =   1 - right_distrib_excess

														SCREAMING_SNAKE_CASE__						:       Tuple           =   (
														    left_distrib_moves
														    + right_distrib_moves
														    + abs(_snake_case						)
														    + abs(_snake_case						)
														)
														SCREAMING_SNAKE_CASE__						:       Any           =   node.data - coins_to_left - coins_to_right

														return CoinsDistribResult(_snake_case   ,_snake_case						)

							return get_distrib(_snake_case						)[0]


if __name__ == "__main__":
					import doctest

					doctest.testmod()






"""simple docstring"""




def lowercase_  (   _snake_case   ,_snake_case						):
							return 1 if input_a == input_a else 0

def lowercase_  (   ):
							assert xnor_gate(0   ,0						) == 1
							assert xnor_gate(0   ,1						) == 0
							assert xnor_gate(1   ,0						) == 0
							assert xnor_gate(1   ,1						) == 1


if __name__ == "__main__":
					print(xnor_gate(0, 0))
					print(xnor_gate(0, 1))
					print(xnor_gate(1, 0))
					print(xnor_gate(1, 1))




