




from __future__ import annotations

from collections import deque
from collections.abc import Sequence
from dataclasses import dataclass
from typing import Any


@dataclass
class 				UpperCamelCase_    :

    '''simple docstring'''






    UpperCAmelCase__							  =      42
    UpperCAmelCase__							  =      None
    UpperCAmelCase__							  =      None







def SCREAMING_SNAKE_CASE				(       )   ->       Node | None:



       """simple docstring"""

       A__       =    Node(1						)
       A__       =    Node(2						)
       A__       =    Node(3						)
       A__       =    Node(4						)
       A__       =    Node(5						)
       return tree







def SCREAMING_SNAKE_CASE				(       lowercase_						)   ->       list[int]:



       """simple docstring"""

       return [root.data, *preorder(root.left						), *preorder(root.right						)] if root else []







def SCREAMING_SNAKE_CASE				(       lowercase_						)   ->       list[int]:



       """simple docstring"""

       return postorder(root.left						) + postorder(root.right						) + [root.data] if root else []







def SCREAMING_SNAKE_CASE				(       lowercase_						)   ->       list[int]:



       """simple docstring"""

       return [*inorder(root.left						), root.data, *inorder(root.right						)] if root else []







def SCREAMING_SNAKE_CASE				(       lowercase_						)   ->       int:



       """simple docstring"""

       return (max(height(root.left						) ,				height(root.right						)						) + 1) if root else 0







def SCREAMING_SNAKE_CASE				(       lowercase_						)   ->       Sequence[Node | None]:



       """simple docstring"""

       A__       =    []

       if root is None:
              return output

       A__       =    deque([root]						)

       while process_queue:
              A__       =    process_queue.popleft()
              output.append(node.data						)

              if node.left:
                     process_queue.append(node.left						)
              if node.right:
                     process_queue.append(node.right						)
       return output







def SCREAMING_SNAKE_CASE				(       lowercase_ ,				lowercase_						)   ->       Sequence[Node | None]:



       """simple docstring"""

       A__       =    []

       def populate_output(lowercase_ ,				lowercase_						) -> None:
              if not root:
                     return
              if level == 1:
                     output.append(root.data						)
              elif level > 1:
                     populate_output(root.left ,				level - 1						)
                     populate_output(root.right ,				level - 1						)

       populate_output(lowercase_ ,				lowercase_						)
       return output







def SCREAMING_SNAKE_CASE				(       lowercase_ ,				lowercase_						)   ->       Sequence[Node | None]:



       """simple docstring"""

       A__       =    []

       def populate_output(lowercase_ ,				lowercase_						) -> None:
              if root is None:
                     return
              if level == 1:
                     output.append(root.data						)
              elif level > 1:
                     populate_output(root.right ,				level - 1						)
                     populate_output(root.left ,				level - 1						)

       populate_output(lowercase_ ,				lowercase_						)
       return output







def SCREAMING_SNAKE_CASE				(       lowercase_						)   ->       Sequence[Node | None] | list[Any]:



       """simple docstring"""

       if root is None:
              return []

       A__       =    []

       A__       =    0
       A__       =    height(lowercase_						)

       for h in range(1 ,				height_tree + 1						):
              if not flag:
                     output.append(get_nodes_from_left_to_right(lowercase_ ,				lowercase_						)						)
                     A__       =    1
              else:
                     output.append(get_nodes_from_right_to_left(lowercase_ ,				lowercase_						)						)
                     A__       =    0

       return output







def SCREAMING_SNAKE_CASE				(       )   ->       None:  # Main function for testing.



       """simple docstring"""

       A__       =    make_tree()
       print(f"""In-order Traversal: {inorder(lowercase_						)}"""						)
       print(f"""Pre-order Traversal: {preorder(lowercase_						)}"""						)
       print(f"""Post-order Traversal: {postorder(lowercase_						)}""" ,				'''\n'''						)

       print(f"""Height of Tree: {height(lowercase_						)}""" ,				'''\n'''						)

       print('''Complete Level Order Traversal: '''						)
       print(level_order(lowercase_						) ,				'''\n'''						)

       print('''Level-wise order Traversal: '''						)

       for level in range(1 ,				height(lowercase_						) + 1						):
              print(f"""Level {level}:""" ,				get_nodes_from_left_to_right(lowercase_ ,				level=lowercase_						)						)

       print('''\nZigZag order Traversal: '''						)
       print(zigzag(lowercase_						)						)


if __name__ == "__main__":
  import doctest

  doctest.testmod()
  main()






from __future__ import annotations



def 				UpperCamelCase_(      lowerCamelCase_ )    ->						bool:
    if len(lowerCamelCase_ ) < 2:
        raise ValueError('Monogons and Digons are not polygons in the Euclidean space' )
    if any(i <= 0 for i in nums ):
        raise ValueError('All values must be greater than 0' )
    _lowercase       :							Tuple      		=		nums.copy()
    copy_nums.sort()
    return copy_nums[-1] < sum(copy_nums[:-1] )


if __name__ == "__main__":
 import doctest

 doctest.testmod()


