


'''simple docstring'''



_lowercase      :      str            =  '''Alexander Joslin'''

import operator as op

from .stack import Stack


def 				lowerCamelCase__				(	A       :      str					):




						'''simple docstring'''






						UpperCAmelCase					    =     {"*": op.mul, "/": op.truediv, "+": op.add, "-": op.sub}

						UpperCAmelCase					    =     Stack()
						UpperCAmelCase					    =     Stack()

						for i in equation:
												if i.isdigit():
																		# RULE 1
																		operand_stack.push(int(_lowerCAmelCase					)					)
												elif i in operators:
																		# RULE 2
																		operator_stack.push(_lowerCAmelCase					)
												elif i == ")":
																		# RULE 4
																		UpperCAmelCase					    =     operator_stack.peek()
																		operator_stack.pop()
																		UpperCAmelCase					    =     operand_stack.peek()
																		operand_stack.pop()
																		UpperCAmelCase					    =     operand_stack.peek()
																		operand_stack.pop()

																		UpperCAmelCase					    =     operators[opr](_lowerCAmelCase				,       _lowerCAmelCase					)
																		operand_stack.push(_lowerCAmelCase					)

    # RULE 5
						return operand_stack.peek()


if __name__ == "__main__":
	_lowercase      :      Dict            =  '''(5 + ((4 * 2) * (2 + 3)))'''
	# answer = 45
	print(F"""{equation} = {dijkstras_two_stack_algorithm(equation)}""")









'''simple docstring'''



from __future__ import annotations

from collections import namedtuple
from dataclasses import dataclass






@dataclass
class 	UpperCamelCase__:
				__magic_name__    :				int
				__magic_name__    :				TreeNode | None  		=	None
				__magic_name__    :				TreeNode | None  		=	None







_lowercase      :      Tuple            =					namedtuple("""CoinsDistribResult""", """moves excess""")


def 				lowerCamelCase__				(	A       :      TreeNode | None					):




						'''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					)

												UpperCAmelCase    ,    UpperCAmelCase					    =     get_distrib(node.left					)
												UpperCAmelCase    ,    UpperCAmelCase					    =     get_distrib(node.right					)

												UpperCAmelCase					    =     1 - left_distrib_excess
												UpperCAmelCase					    =     1 - right_distrib_excess

												UpperCAmelCase					    =     (
												    left_distrib_moves
												    + right_distrib_moves
												    + abs(A					)
												    + abs(A					)
												)
												UpperCAmelCase					    =     node.data - coins_to_left - coins_to_right

												return CoinsDistribResult(A				,       A					)

						return get_distrib(A					)[0]


if __name__ == "__main__":
	import doctest

	doctest.testmod()





