




import sys
import turtle

def     _SCREAMING_SNAKE_CASE    (							lowercase			: Any			,							lowercase			: Dict  ):


      '''simple docstring'''



      return (pa[0] + pa[0]) / 2, (pa[1] + pa[1]) / 2

def     _SCREAMING_SNAKE_CASE    (							lowercase			: int			,							lowercase			: Union[str, Any]			,							lowercase			: Optional[int]			,							lowercase			: int			,							):


      '''simple docstring'''



      my_pen.up()
      my_pen.goto(vertexa[0]			,							vertexa[1]  )
      my_pen.down()
      my_pen.goto(vertexa[0]			,							vertexa[1]  )
      my_pen.goto(vertexa[0]			,							vertexa[1]  )
      my_pen.goto(vertexa[0]			,							vertexa[1]  )

      if depth == 0:
            return

      triangle(_lowercase			,							get_mid(_lowercase			,							_lowercase  )			,							get_mid(_lowercase			,							_lowercase  )			,							depth - 1  )
      triangle(_lowercase			,							get_mid(_lowercase			,							_lowercase  )			,							get_mid(_lowercase			,							_lowercase  )			,							depth - 1  )
      triangle(_lowercase			,							get_mid(_lowercase			,							_lowercase  )			,							get_mid(_lowercase			,							_lowercase  )			,							depth - 1  )


if __name__ == "__main__":
 if len(sys.argv) != 2:
  raise ValueError(
      "Correct format for using this script: "
      "python fractals.py <int:depth_for_fractal>"
  )
 lowerCamelCase       :	Any									=     turtle.Turtle()
 my_pen.ht()
 my_pen.speed(5)
 my_pen.pencolor("red")

 lowerCamelCase       :	Any									=     [(-175, -125), (0, 175), (175, -125)]  # vertices of triangle
 triangle(vertices[0], vertices[1], vertices[2], int(sys.argv[1]))





from __future__ import annotations

from collections import namedtuple
from dataclasses import dataclass







@dataclass
class 						A:



 '''simple docstring'''


 UpperCamelCase		     =		42
 UpperCamelCase		     =		None
 UpperCamelCase		     =		None

lowerCamelCase       :	str									=     namedtuple("CoinsDistribResult", "moves excess")

def     _SCREAMING_SNAKE_CASE    (							lowercase			: TreeNode | None  ):


      '''simple docstring'''



      if root is None:
            return 0

      # Validation
      def count_nodes(lowercase			: TreeNode | None  ) -> int:
            if node is None:
                  return 0

            return count_nodes(node.left  ) + count_nodes(node.right  ) + 1

      def count_coins(lowercase			: TreeNode | None  ) -> int:
            if node is None:
                  return 0

            return count_coins(node.left  ) + count_coins(node.right  ) + node.data

      if count_nodes(lowercase  ) != count_coins(lowercase  ):
            raise ValueError('The nodes number should be same as the number of coins'  )

      # Main calculation
      def get_distrib(lowercase			: 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(lowercase  )
                + abs(lowercase  )
            )
            lowerCamelCase_	  =					node.data - coins_to_left - coins_to_right

            return CoinsDistribResult(lowercase			,							lowercase  )

      return get_distrib(lowercase  )[0]


if __name__ == "__main__":
 import doctest

 doctest.testmod()



