



from __future__ import annotations

import queue



class 							lowerCAmelCase_						:
       def __init__(     self,     SCREAMING_SNAKE_CASE_			)	->						Optional[int]:
          UpperCamelCase       :    Optional[Any]		      =      data
          UpperCamelCase       :    Any		      =      None
          UpperCamelCase       :    List[Any]		      =      None






def 						UpperCamelCase      (  )      ->	TreeNode:
   print('\n********Press N to stop entering at any point of time********\n'      )
   UpperCamelCase       :    Optional[int]		      =      input('Enter the value of the root node: '      ).strip().lower()
   UpperCamelCase       :    queue.Queue		      =      queue.Queue()
   UpperCamelCase       :    int		      =      TreeNode(int(snake_case__      )      )
   q.put(snake_case__      )
   while not q.empty():
      UpperCamelCase       :    Tuple		      =      q.get()
      UpperCamelCase       :    List[Any]		      =      F"""Enter the left node of {node_found.data}: """
      UpperCamelCase       :    List[Any]		      =      input(snake_case__      ).strip().lower() or 'n'
      if check == "n":
         return tree_node
      UpperCamelCase       :    Dict		      =      TreeNode(int(snake_case__      )      )
      UpperCamelCase       :    Any		      =      left_node
      q.put(snake_case__      )
      UpperCamelCase       :    List[Any]		      =      F"""Enter the right node of {node_found.data}: """
      UpperCamelCase       :    Optional[Any]		      =      input(snake_case__      ).strip().lower() or 'n'
      if check == "n":
         return tree_node
      UpperCamelCase       :    Tuple		      =      TreeNode(int(snake_case__      )      )
      UpperCamelCase       :    str		      =      right_node
      q.put(snake_case__      )
   raise
def 						UpperCamelCase      (  snake_case__			:       TreeNode      )      ->	None:
   if not isinstance(snake_case__			,	snake_case__      ) or not node:
      return
   print(node.data			,	end=','      )
   pre_order(node.left      )
   pre_order(node.right      )
def 						UpperCamelCase      (  snake_case__			:       TreeNode      )      ->	None:
   if not isinstance(snake_case__			,	snake_case__      ) or not node:
      return
   in_order(node.left      )
   print(node.data			,	end=','      )
   in_order(node.right      )
def 						UpperCamelCase      (  snake_case__			:       TreeNode      )      ->	None:
   if not isinstance(snake_case__			,	snake_case__      ) or not node:
      return
   post_order(node.left      )
   post_order(node.right      )
   print(node.data			,	end=','      )
def 						UpperCamelCase      (  snake_case__			:       TreeNode      )      ->	None:
   if not isinstance(snake_case__			,	snake_case__      ) or not node:
      return
   UpperCamelCase       :    queue.Queue		      =      queue.Queue()
   q.put(snake_case__      )
   while not q.empty():
      UpperCamelCase       :    List[str]		      =      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 						UpperCamelCase      (  snake_case__			:       TreeNode      )      ->	None:
   if not isinstance(snake_case__			,	snake_case__      ) or not node:
      return
   UpperCamelCase       :    queue.Queue		      =      queue.Queue()
   q.put(snake_case__      )
   while not q.empty():
      UpperCamelCase       :    str		      =      []
      while not q.empty():
         UpperCamelCase       :    Optional[Any]		      =      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(snake_case__      )
def 						UpperCamelCase      (  snake_case__			:       TreeNode      )      ->	None:
   if not isinstance(snake_case__			,	snake_case__      ) or not node:
      return
   UpperCamelCase       :    list[TreeNode]		      =      []
   UpperCamelCase       :    Dict		      =      node
   while n or stack:
      while n:  # start from root node, find its left child
         print(n.data			,	end=','      )
         stack.append(snake_case__      )
         UpperCamelCase       :    List[str]		      =      n.left
      # end of while means current node doesn't have left child
      UpperCamelCase       :    Union[str, Any]		      =      stack.pop()
      # start to traverse its right child
      UpperCamelCase       :    int		      =      n.right
def 						UpperCamelCase      (  snake_case__			:       TreeNode      )      ->	None:
   if not isinstance(snake_case__			,	snake_case__      ) or not node:
      return
   UpperCamelCase       :    list[TreeNode]		      =      []
   UpperCamelCase       :    Tuple		      =      node
   while n or stack:
      while n:
         stack.append(snake_case__      )
         UpperCamelCase       :    List[Any]		      =      n.left
      UpperCamelCase       :    int		      =      stack.pop()
      print(n.data			,	end=','      )
      UpperCamelCase       :    Optional[Any]		      =      n.right
def 						UpperCamelCase      (  snake_case__			:       TreeNode      )      ->	None:
   if not isinstance(snake_case__			,	snake_case__      ) or not node:
      return
   UpperCamelCase      ,	UpperCamelCase       :    Optional[int]		      =      [], []
   UpperCamelCase       :    List[str]		      =      node
   stacka.append(snake_case__      )
   while stacka:  # to find the reversed order of post order, store it in stack2
      UpperCamelCase       :    Optional[Any]		      =      stacka.pop()
      if n.left:
         stacka.append(n.left      )
      if n.right:
         stacka.append(n.right      )
      stacka.append(snake_case__      )
   while stacka:  # pop up from stack2 will be the post order
      print(stacka.pop().data			,	end=','      )
def 						UpperCamelCase      (  snake_case__			:       str = ""			,	snake_case__			:       List[str]=50			,	snake_case__			:       List[Any]="*"      )      ->	str:
   if not s:
      return "\n" + width * char
   UpperCamelCase      ,	UpperCamelCase       :    Union[str, Any]		      =      divmod(width - len(snake_case__      ) - 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




def 							a		(				snake_case__:   list[list[int]]   ):


				'''simple docstring'''

				# preprocessing the first row
				for i in range(1		,  len(matrix[0]   )   ):
								matrix[0][i] += matrix[0][i - 1]

				# preprocessing the first column
				for i in range(1		,  len(snake_case__   )   ):
								matrix[i][0] += matrix[i - 1][0]

				# updating the path cost for current position
				for i in range(1		,  len(snake_case__   )   ):
								for j in range(1		,  len(matrix[0]   )   ):
												matrix[i][j] += min(matrix[i - 1][j]		,  matrix[i][j - 1]   )

				return matrix[-1][-1]


if __name__ == "__main__":
						import doctest

						doctest.testmod()




