





from __future__ import annotations

import queue




class        SCREAMING_SNAKE_CASE__					:



 def __init__(				self,__lowerCamelCase					):
        A__		   =		data
        A__		   =		None
        A__		   =		None


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


def       UpperCamelCase__(			UpperCamelCase__     :			TreeNode    )->None:
       if not isinstance(UpperCamelCase__					,	UpperCamelCase__    ) or not node:
              return
       print(node.data					,	end=''','''    )
       pre_order(node.left    )
       pre_order(node.right    )


def       UpperCamelCase__(			UpperCamelCase__     :			TreeNode    )->None:
       if not isinstance(UpperCamelCase__					,	UpperCamelCase__    ) or not node:
              return
       in_order(node.left    )
       print(node.data					,	end=''','''    )
       in_order(node.right    )


def       UpperCamelCase__(			UpperCamelCase__     :			TreeNode    )->None:
       if not isinstance(UpperCamelCase__					,	UpperCamelCase__    ) or not node:
              return
       post_order(node.left    )
       post_order(node.right    )
       print(node.data					,	end=''','''    )


def       UpperCamelCase__(			UpperCamelCase__     :			TreeNode    )->None:
       if not isinstance(UpperCamelCase__					,	UpperCamelCase__    ) or not node:
              return
       A__		   =		queue.Queue()
       q.put(UpperCamelCase__    )
       while not q.empty():
              A__		   =		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__(			UpperCamelCase__     :			TreeNode    )->None:
       if not isinstance(UpperCamelCase__					,	UpperCamelCase__    ) or not node:
              return
       A__		   =		queue.Queue()
       q.put(UpperCamelCase__    )
       while not q.empty():
              A__		   =		[]
              while not q.empty():
                     A__		   =		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(UpperCamelCase__    )


def       UpperCamelCase__(			UpperCamelCase__     :			TreeNode    )->None:
       if not isinstance(UpperCamelCase__					,	UpperCamelCase__    ) or not node:
              return
       A__		   =		[]
       A__		   =		node
       while n or stack:
              while n:  # start from root node, find its left child
                     print(n.data					,	end=''','''    )
                     stack.append(UpperCamelCase__    )
                     A__		   =		n.left
              # end of while means current node doesn't have left child
              A__		   =		stack.pop()
              # start to traverse its right child
              A__		   =		n.right


def       UpperCamelCase__(			UpperCamelCase__     :			TreeNode    )->None:
       if not isinstance(UpperCamelCase__					,	UpperCamelCase__    ) or not node:
              return
       A__		   =		[]
       A__		   =		node
       while n or stack:
              while n:
                     stack.append(UpperCamelCase__    )
                     A__		   =		n.left
              A__		   =		stack.pop()
              print(n.data					,	end=''','''    )
              A__		   =		n.right


def       UpperCamelCase__(			UpperCamelCase__     :			TreeNode    )->None:
       if not isinstance(UpperCamelCase__					,	UpperCamelCase__    ) or not node:
              return
       A__   ,      A__		   =		[], []
       A__		   =		node
       stacka.append(UpperCamelCase__    )
       while stacka:  # to find the reversed order of post order, store it in stack2
              A__		   =		stacka.pop()
              if n.left:
                     stacka.append(n.left    )
              if n.right:
                     stacka.append(n.right    )
              stacka.append(UpperCamelCase__    )
       while stacka:  # pop up from stack2 will be the post order
              print(stacka.pop().data					,	end=''','''    )


def       UpperCamelCase__(			UpperCamelCase__     :			str = ""					,	UpperCamelCase__     :			Tuple=50					,	UpperCamelCase__     :			List[Any]="*"    )->str:
       if not s:
              return "\n" + width * char
       A__   ,      A__		   =		divmod(width - len(UpperCamelCase__    ) - 2					,	2    )
       return f"{left * char} {s} {(left + extra) * char}"


if __name__ == "__main__":
       import doctest

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

       a__: TreeNode							   =						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())












def       UpperCamelCase__(			UpperCamelCase__     :			str					,	UpperCamelCase__     :			str    )->str:
       assert x is not None
       assert y is not None

       A__		   =		len(UpperCamelCase__    )
       A__		   =		len(UpperCamelCase__    )

       # declaring the array for storing the dp values
       A__		   =		[[0] * (n + 1) for _ in range(m + 1    )]  # noqa: E741

       for i in range(1					,	m + 1    ):
              for j in range(1					,	n + 1    ):
                     A__		   =		1 if x[i - 1] == y[j - 1] else 0

                     A__		   =		max(l[i - 1][j]					,	l[i][j - 1]					,	l[i - 1][j - 1] + match    )

       A__		   =		''''''
       A__   ,      A__		   =		m, n
       while i > 0 and j > 0:
              A__		   =		1 if x[i - 1] == y[j - 1] else 0

              if l[i][j] == l[i - 1][j - 1] + match:
                     if match == 1:
                            A__		   =		x[i - 1] + seq
                     i -= 1
                     j -= 1
              elif l[i][j] == l[i - 1][j]:
                     i -= 1
              else:
                     j -= 1

       return l[m][n], seq


if __name__ == "__main__":
       a__: Tuple							   =						'AGGTAB'
       a__: Tuple							   =						'GXTXAYB'
       a__: List[Any]							   =						4
       a__: Optional[Any]							   =						'GTAB'

       a__   ,     a__: List[str]							   =						longest_common_subsequence(a, b)
       print('len =', ln, ', sub-sequence =', subseq)
       import doctest

       doctest.testmod()





