



from __future__ import annotations

from collections import deque
from enum import Enum
from math import atana, degrees
from sys import maxsize



class 	__lowerCAmelCase       (		lowerCAmelCase__				):
 lowerCAmelCase__       =					1
 lowerCAmelCase__       =					2
 lowerCAmelCase__       =					3




 def __repr__(  self			):



    '''simple docstring'''
    return F"""{self.__class__.__name__}.{self.name}"""





def 						a__     (						_UpperCamelCase     :	tuple[int, int]	,_UpperCamelCase     :	int	,_UpperCamelCase     :	int							):
   __lowerCamelCase							,__lowerCamelCase  							=      point
   return degrees(atana(y - miny	,x - minx							)							)





def 						a__     (						_UpperCamelCase     :	tuple[int, int]	,_UpperCamelCase     :	tuple[int, int]	,_UpperCamelCase     :	tuple[int, int]							):
   __lowerCamelCase							,__lowerCamelCase  							=      starting
   __lowerCamelCase							,__lowerCamelCase  							=      via
   __lowerCamelCase							,__lowerCamelCase  							=      target
   __lowerCamelCase  							=      degrees(atana(ya - ya	,xa - xa							)							)
   via_angle %= 3_60
   __lowerCamelCase  							=      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 						a__     (						_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
   __lowerCamelCase  							=      0
   __lowerCamelCase							,__lowerCamelCase  							=      maxsize, maxsize
   for i, point in enumerate(_UpperCamelCase							):
      __lowerCamelCase  							=      point[0]
      __lowerCamelCase  							=      point[1]
      if y < miny:
         __lowerCamelCase  							=      y
         __lowerCamelCase  							=      x
         __lowerCamelCase  							=      i
      if y == miny and x < minx:
         __lowerCamelCase  							=      x
         __lowerCamelCase  							=      i

    # remove the lowest and the most left point from points for preparing for sort
   points.pop(_UpperCamelCase							)

   __lowerCamelCase  							=      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)							)

   __lowerCamelCase  							=      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.
   __lowerCamelCase  							=      Direction.left

   for i in range(3	,len(_UpperCamelCase							)							):
      while True:
         __lowerCamelCase  							=      stack[-2]
         __lowerCamelCase  							=      stack[-1]
         __lowerCamelCase  							=      sorted_points[i]
         __lowerCamelCase  							=      check_direction(_UpperCamelCase	,_UpperCamelCase	,_UpperCamelCase							)

         if next_direction == Direction.left:
            __lowerCamelCase  							=      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							)











import platform
from argparse import ArgumentParser

import huggingface_hub
import pandas
import pyarrow

from datasets import __version__ as version
from datasets.commands import BaseDatasetsCLICommand





def 						a__     (						_UpperCamelCase     :	Optional[Any]							):
   return EnvironmentCommand()





class 	__lowerCAmelCase       (		lowerCAmelCase__				):




 @staticmethod
 def     lowerCamelCase (  __UpperCAmelCase			):



    '''simple docstring'''
    __lowerCamelCase  							=      parser.add_parser('''env'''		,			help='''Print relevant system environment info.'''			)
    download_parser.set_defaults(func=__UpperCAmelCase			)




 def     lowerCamelCase (  self			):



    '''simple docstring'''
    __lowerCamelCase  							=      {
        '''`datasets` version''': version,
        '''Platform''': platform.platform(),
        '''Python version''': platform.python_version(),
        '''Huggingface_hub version''': huggingface_hub.__version__,
        '''PyArrow version''': pyarrow.__version__,
        '''Pandas version''': pandas.__version__,
    }

    print('''\nCopy-and-paste the text below in your GitHub issue.\n'''			)
    print(self.format_dict(__UpperCAmelCase			)			)

    return info




 @staticmethod
 def     lowerCamelCase (  __UpperCAmelCase			):



    '''simple docstring'''
    return "\n".join([F"""- {prop}: {val}""" for prop, val in d.items()]			) + "\n"






