code: 
  
  
  from __future__ import annotations
  
  from collections import deque
  from enum import Enum
  from math import atana, degrees
  from sys import maxsize
  
  
  
  
  
  
  
  class   lowerCAmelCase__ (       a):
  
  
  
  
       '''simple docstring'''
       __SCREAMING_SNAKE_CASE						    =				1
       __SCREAMING_SNAKE_CASE						    =				2
       __SCREAMING_SNAKE_CASE						    =				3
  
  
       def __repr__(		self)    ->       Any:
              return F"{self.__class__.__name__}.{self.name}"
  
  
  
  
  def 							_UpperCAmelCase       (UpperCamelCase__  :						tuple[int, int]       ,							UpperCamelCase__  :						int       ,							UpperCamelCase__  :						int		):
         _A					,    _A   : str       					=				point
         return degrees(atana(y - miny       ,							x - minx		)		)
  def 							_UpperCAmelCase       (UpperCamelCase__  :						tuple[int, int]       ,							UpperCamelCase__  :						tuple[int, int]       ,							UpperCamelCase__  :						tuple[int, int]		):
         _A					,    _A   : List[str]       					=				starting
         _A					,    _A   : str       					=				via
         _A					,    _A   : Optional[Any]       					=				target
         _A   : Optional[Any]       					=				degrees(atana(ya - ya       ,							xa - xa		)		)
         via_angle %= 360
         _A   : str       					=				degrees(atana(ya - ya       ,							xa - xa		)		)
         target_angle %= 360
         # 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 							_UpperCAmelCase       (UpperCamelCase__  :						list[tuple[int, int]]		):
  
         if len(UpperCamelCase__		) <= 2:
                # There is no convex hull
                raise ValueError("graham_scan: argument must contain more than 3 points."		)
         if len(UpperCamelCase__		) == 3:
                return points
         # find the lowest and the most left point
         _A   : Union[str, Any]       					=				0
         _A					,    _A   : List[Any]       					=				maxsize, maxsize
         for i, point in enumerate(UpperCamelCase__		):
                _A   : Dict       					=				point[0]
                _A   : List[Any]       					=				point[1]
                if y < miny:
                       _A   : str       					=				y
                       _A   : Any       					=				x
                       _A   : Optional[Any]       					=				i
                if y == miny and x < minx:
                       _A   : int       					=				x
                       _A   : Optional[Any]       					=				i
  
      # remove the lowest and the most left point from points for preparing for sort
         points.pop(UpperCamelCase__		)
  
         _A   : str       					=				sorted(UpperCamelCase__       ,							key=lambda UpperCamelCase__		: angle_comparer(UpperCamelCase__       ,							UpperCamelCase__       ,							UpperCamelCase__		)		)
         # 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[tuple[int, int]]       					=				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   : List[Any]       					=				Direction.left
  
         for i in range(3       ,							len(UpperCamelCase__		)		):
                while True:
                       _A   : Optional[Any]       					=				stack[-2]
                       _A   : Any       					=				stack[-1]
                       _A   : Optional[Any]       					=				sorted_points[i]
                       _A   : str       					=				check_direction(UpperCamelCase__       ,							UpperCamelCase__       ,							UpperCamelCase__		)
  
                       if next_direction == Direction.left:
                              _A   : Union[str, Any]       					=				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(UpperCamelCase__		)
  
style_context: 
  
  
  from typing import TYPE_CHECKING
  
  from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available, is_vision_available
  
  
  lowerCAmelCase__   	=				{'configuration_detr': ['DETR_PRETRAINED_CONFIG_ARCHIVE_MAP', 'DetrConfig', 'DetrOnnxConfig']}
  
  try:
      if not is_vision_available():
          raise OptionalDependencyNotAvailable()
  except OptionalDependencyNotAvailable:
      pass
  else:
      lowerCAmelCase__   	=				['DetrFeatureExtractor']
      lowerCAmelCase__   	=				['DetrImageProcessor']
  
  try:
      if not is_torch_available():
          raise OptionalDependencyNotAvailable()
  except OptionalDependencyNotAvailable:
      pass
  else:
      lowerCAmelCase__   	=				[
          'DETR_PRETRAINED_MODEL_ARCHIVE_LIST',
          'DetrForObjectDetection',
          'DetrForSegmentation',
          'DetrModel',
          'DetrPreTrainedModel',
      ]
  
  
  if TYPE_CHECKING:
      from .configuration_detr import DETR_PRETRAINED_CONFIG_ARCHIVE_MAP, DetrConfig, DetrOnnxConfig
  
      try:
          if not is_vision_available():
              raise OptionalDependencyNotAvailable()
      except OptionalDependencyNotAvailable:
          pass
      else:
          from .feature_extraction_detr import DetrFeatureExtractor
          from .image_processing_detr import DetrImageProcessor
  
      try:
          if not is_torch_available():
              raise OptionalDependencyNotAvailable()
      except OptionalDependencyNotAvailable:
          pass
      else:
          from .modeling_detr import (
              DETR_PRETRAINED_MODEL_ARCHIVE_LIST,
              DetrForObjectDetection,
              DetrForSegmentation,
              DetrModel,
              DetrPreTrainedModel,
          )
  
  else:
      import sys
  
      lowerCAmelCase__   	=				_LazyModule(__name__, globals()['__file__'], _import_structure, module_spec=__spec__)
  