


from __future__ import annotations

import queue
class 			SCREAMING_SNAKE_CASE__  :
      def __init__(	self    :	Union[str, Any]					,							SCREAMING_SNAKE_CASE__    :	Tuple					)		->      Optional[Any]:
             a_ :		Any							=  data
             a_ :		str							=  None
             a_ :		List[Any]							=  None







def 	SCREAMING_SNAKE_CASE_						(			)     ->		TreeNode:

       """simple docstring"""

       print('\n********Press N to stop entering at any point of time********\n'    )
       a_ :		List[str]							=  input('Enter the value of the root node: '    ).strip().lower()
       a_ :		queue.Queue							=  queue.Queue()
       a_ :		List[str]							=  TreeNode(int(__A    )    )
       q.put(__A    )
       while not q.empty():
              a_ :		Tuple							=  q.get()
              a_ :		Union[str, Any]							=  F"""Enter the left node of {node_found.data}: """
              a_ :		int							=  input(__A    ).strip().lower() or 'n'
              if check == "n":
                     return tree_node
              a_ :		str							=  TreeNode(int(__A    )    )
              a_ :		Optional[Any]							=  left_node
              q.put(__A    )
              a_ :		str							=  F"""Enter the right node of {node_found.data}: """
              a_ :		Union[str, Any]							=  input(__A    ).strip().lower() or 'n'
              if check == "n":
                     return tree_node
              a_ :		Dict							=  TreeNode(int(__A    )    )
              a_ :		List[str]							=  right_node
              q.put(__A    )
       raise







def 	SCREAMING_SNAKE_CASE_						(			__A			:      TreeNode    )     ->		None:

       """simple docstring"""

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







def 	SCREAMING_SNAKE_CASE_						(			__A			:      TreeNode    )     ->		None:

       """simple docstring"""

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







def 	SCREAMING_SNAKE_CASE_						(			__A			:      TreeNode    )     ->		None:

       """simple docstring"""

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







def 	SCREAMING_SNAKE_CASE_						(			__A			:      TreeNode    )     ->		None:

       """simple docstring"""

       if not isinstance(__A  ,   __A    ) or not node:
              return
       a_ :		queue.Queue							=  queue.Queue()
       q.put(__A    )
       while not q.empty():
              a_ :		Union[str, Any]							=  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 	SCREAMING_SNAKE_CASE_						(			__A			:      TreeNode    )     ->		None:

       """simple docstring"""

       if not isinstance(__A  ,   __A    ) or not node:
              return
       a_ :		queue.Queue							=  queue.Queue()
       q.put(__A    )
       while not q.empty():
              a_ :		Any							=  []
              while not q.empty():
                     a_ :		Tuple							=  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 	SCREAMING_SNAKE_CASE_						(			__A			:      TreeNode    )     ->		None:

       """simple docstring"""

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







def 	SCREAMING_SNAKE_CASE_						(			__A			:      TreeNode    )     ->		None:

       """simple docstring"""

       if not isinstance(__A  ,   __A    ) or not node:
              return
       a_ :		list[TreeNode]							=  []
       a_ :		Optional[int]							=  node
       while n or stack:
              while n:
                     stack.append(__A    )
                     a_ :		int							=  n.left
              a_ :		str							=  stack.pop()
              print(n.data  ,   end=','    )
              a_ :		List[str]							=  n.right







def 	SCREAMING_SNAKE_CASE_						(			__A			:      TreeNode    )     ->		None:

       """simple docstring"""

       if not isinstance(__A  ,   __A    ) or not node:
              return
       a_ :		int							=  [], []
       a_ :		List[Any]							=  node
       stacka.append(__A    )
       while stacka:  # to find the reversed order of post order, store it in stack2
              a_ :		Optional[int]							=  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 	SCREAMING_SNAKE_CASE_						(			__A			:      str = ""  ,   __A			:      Dict=50  ,   __A			:      Optional[Any]="*"    )     ->		str:

       """simple docstring"""

       if not s:
              return "\n" + width * char
       a_ :		List[Any]							=  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_				:			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())






from __future__ import annotations

UpperCAmelCase_				:			Dict   =	[True] * 100_0001
UpperCAmelCase_				:			Any   =	2
while i * i <= 100_0000:
   if seive[i]:
      for j in range(i * i, 100_0001, i):
         UpperCAmelCase_				:			Tuple   =	False
   i += 1







def 	SCREAMING_SNAKE_CASE_						(      __A			:      int    )     ->		bool:

       """simple docstring"""

       return seive[n]







def 	SCREAMING_SNAKE_CASE_						(      __A			:      int    )     ->		bool:

       """simple docstring"""

       return any(digit in '02468' for digit in str(__A    )    )







def 	SCREAMING_SNAKE_CASE_						(      __A			:      int = 1_00_00_00    )     ->		list[int]:

       """simple docstring"""

       a_ :		Dict							=  [2]  # result already includes the number 2.
       for num in range(3  ,   limit + 1  ,   2    ):
              if is_prime(__A    ) and not contains_an_even_digit(__A    ):
                     a_ :		Dict							=  str(__A    )
                     a_ :		Any							=  [int(str_num[j:] + str_num[:j]    ) for j in range(len(__A    )    )]
                     if all(is_prime(__A    ) for i in list_nums    ):
                            result.append(__A    )
       return result







def 	SCREAMING_SNAKE_CASE_						(      )     ->		int:

       """simple docstring"""

       return len(find_circular_primes()    )


if __name__ == "__main__":
   print(F'{len(find_circular_primes()) = }')


