code: 
  
  
  
  
  """simple docstring"""
  
  
  
  from __future__ import annotations
  
  from collections import deque
  from enum import Enum
  from math import atana, degrees
  from sys import maxsize
  
  
  
  
  class 			UpperCAmelCase_						(		UpperCamelCase__							):
      lowercase__		      =   1
      lowercase__		      =   2
      lowercase__		      =   3
  
  
  
  
      def __repr__(					self		: List[str]   )   ->							Union[str, Any]:
  
  
  
  
       '''simple docstring'''
  
       return F"""{self.__class__.__name__}.{self.name}"""
  
  
  
  
  
  
  
  def 						_SCREAMING_SNAKE_CASE     (							lowercase_    ,				lowercase_    ,				lowercase_		)		->	str:
   A__ =       point
   return degrees(atana(y - miny    ,				x - minx		)		)
  
  
  
  
  
  
  
  def 						_SCREAMING_SNAKE_CASE     (							lowercase_    ,				lowercase_    ,				lowercase_		)		->	List[Any]:
   A__ =       starting
   A__ =       via
   A__ =       target
   A__ =       degrees(atana(ya - ya    ,				xa - xa		)		)
   via_angle %= 3_60
   A__ =       degrees(atana(ya - ya    ,				xa - xa		)		)
   target_angle %= 3_60
   # t-
   #  \ \
   #   \ v
   #    \|
   #     s
   # via_angle is always lower than target_angle, if direction is left.
   # If they are same, it means they are on a same line of convex hull.
   if target_angle > via_angle:
    return Direction.left
   elif target_angle == via_angle:
    return Direction.straight
   else:
    return Direction.right
  
  
  
  
  
  
  
  def 						_SCREAMING_SNAKE_CASE     (							lowercase_		)		->	Union[str, Any]:
  
  
  
   if len(lowercase_		) <= 2:
    # There is no convex hull
    raise ValueError("graham_scan: argument must contain more than 3 points."		)
   if len(lowercase_		) == 3:
    return points
   # find the lowest and the most left point
   A__ =       0
   A__ =       maxsize, maxsize
   for i, point in enumerate(lowercase_		):
    A__ =       point[0]
    A__ =       point[1]
    if y < miny:
     A__ =       y
     A__ =       x
     A__ =       i
    if y == miny and x < minx:
     A__ =       x
     A__ =       i
  
    # remove the lowest and the most left point from points for preparing for sort
   points.pop(lowercase_		)
  
   A__ =       sorted(lowercase_    ,				key=lambda lowercase_		: angle_comparer(lowercase_    ,				lowercase_    ,				lowercase_		)		)
   # This insert actually costs complexity,
   # and you should instead add (minx, miny) into stack later.
   # I'm using insert just for easy understanding.
   sorted_points.insert(0    ,				(minx, miny)		)
  
   A__ =       deque()
   stack.append(sorted_points[0]		)
   stack.append(sorted_points[1]		)
   stack.append(sorted_points[2]		)
   # In any ways, the first 3 points line are towards left.
   # Because we sort them the angle from minx, miny.
   A__ =       Direction.left
  
   for i in range(3    ,				len(lowercase_		)		):
    while True:
     A__ =       stack[-2]
     A__ =       stack[-1]
     A__ =       sorted_points[i]
     A__ =       check_direction(lowercase_    ,				lowercase_    ,				lowercase_		)
  
     if next_direction == Direction.left:
      A__ =       Direction.left
      break
     if next_direction == Direction.straight:
      if current_direction == Direction.left:
       # We keep current_direction as left.
       # Because if the straight line keeps as straight,
       # we want to know if this straight line is towards left.
       break
      elif current_direction == Direction.right:
       # If the straight line is towards right,
       # every previous points on those straigh line is not convex hull.
       stack.pop()
     if next_direction == Direction.right:
      stack.pop()
    stack.append(sorted_points[i]		)
   return list(lowercase_		)
  
  
  
  
  
  
style_context: 
  
  
  
  
  """simple docstring"""
  
  
  
  def 						_SCREAMING_SNAKE_CASE     (							lowercase_		)		->	str:
   return " ".join(sorted(set(sentence.split()		)		)		)
  
  
  if __name__ == "__main__":
        import doctest
  
        doctest.testmod()
  
  
  
  
  
  