




from __future__ import annotations

import queue





class     lowerCamelCase__:
      def __init__(				self: Any    ,       UpperCamelCase_: str   ):
             __lowerCamelCase   =						data
             __lowerCamelCase   =						None
             __lowerCamelCase   =						None




def 					lowerCamelCase__       (						):





       '''simple docstring'''



       print("""\n********Press N to stop entering at any point of time********\n"""	)
       __lowerCamelCase   =						input("""Enter the value of the root node: """	).strip().lower()
       __lowerCamelCase   =						queue.Queue()
       __lowerCamelCase   =						TreeNode(int(A__	)	)
       q.put(A__	)
       while not q.empty():
              __lowerCamelCase   =						q.get()
              __lowerCamelCase   =						f'Enter the left node of {node_found.data}: '
              __lowerCamelCase   =						input(A__	).strip().lower() or """n"""
              if check == "n":
                     return tree_node
              __lowerCamelCase   =						TreeNode(int(A__	)	)
              __lowerCamelCase   =						left_node
              q.put(A__	)
              __lowerCamelCase   =						f'Enter the right node of {node_found.data}: '
              __lowerCamelCase   =						input(A__	).strip().lower() or """n"""
              if check == "n":
                     return tree_node
              __lowerCamelCase   =						TreeNode(int(A__	)	)
              __lowerCamelCase   =						right_node
              q.put(A__	)
       raise




def 					lowerCamelCase__       (						A__       :					TreeNode	):





       '''simple docstring'''



       if not isinstance(A__  ,			A__	) or not node:
              return
       print(node.data  ,			end=""","""	)
       pre_order(node.left	)
       pre_order(node.right	)




def 					lowerCamelCase__       (						A__       :					TreeNode	):





       '''simple docstring'''



       if not isinstance(A__  ,			A__	) or not node:
              return
       in_order(node.left	)
       print(node.data  ,			end=""","""	)
       in_order(node.right	)




def 					lowerCamelCase__       (						A__       :					TreeNode	):





       '''simple docstring'''



       if not isinstance(A__  ,			A__	) or not node:
              return
       post_order(node.left	)
       post_order(node.right	)
       print(node.data  ,			end=""","""	)




def 					lowerCamelCase__       (						A__       :					TreeNode	):





       '''simple docstring'''



       if not isinstance(A__  ,			A__	) or not node:
              return
       __lowerCamelCase   =						queue.Queue()
       q.put(A__	)
       while not q.empty():
              __lowerCamelCase   =						q.get()
              print(node_dequeued.data  ,			end=""","""	)
              if node_dequeued.left:
                     q.put(node_dequeued.left	)
              if node_dequeued.right:
                     q.put(node_dequeued.right	)




def 					lowerCamelCase__       (						A__       :					TreeNode	):





       '''simple docstring'''



       if not isinstance(A__  ,			A__	) or not node:
              return
       __lowerCamelCase   =						queue.Queue()
       q.put(A__	)
       while not q.empty():
              __lowerCamelCase   =						[]
              while not q.empty():
                     __lowerCamelCase   =						q.get()
                     print(node_dequeued.data  ,			end=""","""	)
                     if node_dequeued.left:
                            list_.append(node_dequeued.left	)
                     if node_dequeued.right:
                            list_.append(node_dequeued.right	)
              print()
              for node in list_:
                     q.put(A__	)




def 					lowerCamelCase__       (						A__       :					TreeNode	):





       '''simple docstring'''



       if not isinstance(A__  ,			A__	) or not node:
              return
       __lowerCamelCase   =						[]
       __lowerCamelCase   =						node
       while n or stack:
              while n:  # start from root node, find its left child
                     print(n.data  ,			end=""","""	)
                     stack.append(A__	)
                     __lowerCamelCase   =						n.left
              # end of while means current node doesn't have left child
              __lowerCamelCase   =						stack.pop()
              # start to traverse its right child
              __lowerCamelCase   =						n.right




def 					lowerCamelCase__       (						A__       :					TreeNode	):





       '''simple docstring'''



       if not isinstance(A__  ,			A__	) or not node:
              return
       __lowerCamelCase   =						[]
       __lowerCamelCase   =						node
       while n or stack:
              while n:
                     stack.append(A__	)
                     __lowerCamelCase   =						n.left
              __lowerCamelCase   =						stack.pop()
              print(n.data  ,			end=""","""	)
              __lowerCamelCase   =						n.right




def 					lowerCamelCase__       (						A__       :					TreeNode	):





       '''simple docstring'''



       if not isinstance(A__  ,			A__	) or not node:
              return
       __lowerCamelCase,   __lowerCamelCase   =						[], []
       __lowerCamelCase   =						node
       stacka.append(A__	)
       while stacka:  # to find the reversed order of post order, store it in stack2
              __lowerCamelCase   =						stacka.pop()
              if n.left:
                     stacka.append(n.left	)
              if n.right:
                     stacka.append(n.right	)
              stacka.append(A__	)
       while stacka:  # pop up from stack2 will be the post order
              print(stacka.pop().data  ,			end=""","""	)




def 					lowerCamelCase__       (						A__       :					str = ""  ,			A__       :					Tuple=50  ,			A__       :					Optional[int]="*"	):





       '''simple docstring'''



       if not s:
              return "\n" + width * char
       __lowerCamelCase,   __lowerCamelCase   =						divmod(width - len(A__	) - 2  ,			2	)
       return f'{left * char} {s} {(left + extra) * char}'


if __name__ == "__main__":
       import doctest

       doctest.testmod()
       print(prompt('Binary Tree Traversals'))

       UpperCAmelCase_									=	build_tree()
       print(prompt('Pre Order Traversal'))
       pre_order(node)
       print(prompt() + '\n')

       print(prompt('In Order Traversal'))
       in_order(node)
       print(prompt() + '\n')

       print(prompt('Post Order Traversal'))
       post_order(node)
       print(prompt() + '\n')

       print(prompt('Level Order Traversal'))
       level_order(node)
       print(prompt() + '\n')

       print(prompt('Actual Level Order Traversal'))
       level_order_actual(node)
       print('*' * 50 + '\n')

       print(prompt('Pre Order Traversal - Iteration Version'))
       pre_order_iter(node)
       print(prompt() + '\n')

       print(prompt('In Order Traversal - Iteration Version'))
       in_order_iter(node)
       print(prompt() + '\n')

       print(prompt('Post Order Traversal - Iteration Version'))
       post_order_iter(node)
       print(prompt())







from __future__ import annotations

from collections import namedtuple
from dataclasses import dataclass





@dataclass
class     lowerCamelCase__:
      UpperCAmelCase__      :	int
      UpperCAmelCase__      :	TreeNode | None    		=   None
      UpperCAmelCase__      :	TreeNode | None    		=   None



UpperCAmelCase_									=	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	)

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

              __lowerCamelCase   =						1 - left_distrib_excess
              __lowerCamelCase   =						1 - right_distrib_excess

              __lowerCamelCase   =						(
                  left_distrib_moves
                  + right_distrib_moves
                  + abs(A__	)
                  + abs(A__	)
              )
              __lowerCamelCase   =						node.data - coins_to_left - coins_to_right

              return CoinsDistribResult(A__  ,			A__	)

       return get_distrib(A__	)[0]


if __name__ == "__main__":
       import doctest

       doctest.testmod()

