
'''simple docstring'''







from __future__ import annotations

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


class       lowerCAmelCase			(					__UpperCAmelCase      ):
		a				:       Union[str, Any]							=       1
		a				:       Union[str, Any]							=       2
		a				:       Dict							=       3




		def __repr__(					self   ):
								return F'{self.__class__.__name__}.{self.name}'



def       _a		(						_SCREAMING_SNAKE_CASE		: tuple[int, int]						,      _SCREAMING_SNAKE_CASE		: int						,      _SCREAMING_SNAKE_CASE		: int	):
						_SCREAMING_SNAKE_CASE,				_SCREAMING_SNAKE_CASE					=			point
						return degrees(atana(y - miny						,      x - minx	)	)



def       _a		(						_SCREAMING_SNAKE_CASE		: tuple[int, int]						,      _SCREAMING_SNAKE_CASE		: tuple[int, int]						,      _SCREAMING_SNAKE_CASE		: tuple[int, int]	):
						_SCREAMING_SNAKE_CASE,				_SCREAMING_SNAKE_CASE					=			starting
						_SCREAMING_SNAKE_CASE,				_SCREAMING_SNAKE_CASE					=			via
						_SCREAMING_SNAKE_CASE,				_SCREAMING_SNAKE_CASE					=			target
						_SCREAMING_SNAKE_CASE					=			degrees(atana(ya - ya						,      xa - xa	)	)
						via_angle %= 360
						_SCREAMING_SNAKE_CASE					=			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       _a		(						_SCREAMING_SNAKE_CASE		: list[tuple[int, int]]	):

						if len(_SCREAMING_SNAKE_CASE	) <= 2:
												# There is no convex hull
												raise ValueError("graham_scan: argument must contain more than 3 points."	)
						if len(_SCREAMING_SNAKE_CASE	) == 3:
												return points
						# find the lowest and the most left point
						_SCREAMING_SNAKE_CASE					=			0
						_SCREAMING_SNAKE_CASE,				_SCREAMING_SNAKE_CASE					=			maxsize, maxsize
						for i, point in enumerate(_SCREAMING_SNAKE_CASE	):
												_SCREAMING_SNAKE_CASE					=			point[0]
												_SCREAMING_SNAKE_CASE					=			point[1]
												if y < miny:
																		_SCREAMING_SNAKE_CASE					=			y
																		_SCREAMING_SNAKE_CASE					=			x
																		_SCREAMING_SNAKE_CASE					=			i
												if y == miny and x < minx:
																		_SCREAMING_SNAKE_CASE					=			x
																		_SCREAMING_SNAKE_CASE					=			i

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

						_SCREAMING_SNAKE_CASE					=			sorted(_SCREAMING_SNAKE_CASE						,      key=lambda _SCREAMING_SNAKE_CASE	: angle_comparer(_SCREAMING_SNAKE_CASE						,      _SCREAMING_SNAKE_CASE						,      _SCREAMING_SNAKE_CASE	)	)
						# 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)	)

						_SCREAMING_SNAKE_CASE					=			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.
						_SCREAMING_SNAKE_CASE					=			Direction.left

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

																		if next_direction == Direction.left:
																								_SCREAMING_SNAKE_CASE					=			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(_SCREAMING_SNAKE_CASE	)

'''simple docstring'''







from __future__ import annotations

import random
import string


class       lowerCAmelCase			:




		def __init__(					self       ,    UpperCamelCase = None   ):
								_SCREAMING_SNAKE_CASE					=			passcode or self.__passcode_creator()
								_SCREAMING_SNAKE_CASE					=			self.__make_key_list()
								_SCREAMING_SNAKE_CASE					=			self.__make_shift_key()




		def __str__(					self   ):
								return "".join(self.__passcode   )




		def      lowercase							(					self       ,    UpperCamelCase   ):
								for i in range(1       ,    len(UpperCamelCase   )       ,    2   ):
														iterlist[i] *= -1
								return iterlist




		def      lowercase							(					self   ):
								_SCREAMING_SNAKE_CASE					=			string.ascii_letters + string.digits
								_SCREAMING_SNAKE_CASE					=			[random.choice(UpperCamelCase   ) for _ in range(random.randint(10       ,    20   )   )]
								return password




		def      lowercase							(					self   ):
								_SCREAMING_SNAKE_CASE					=			(
								    string.ascii_letters + string.digits + string.punctuation + " \t\n"
								)

								_SCREAMING_SNAKE_CASE					=			[]

								# creates points known as breakpoints to break the key_list_options at those
								# points and pivot each substring
								_SCREAMING_SNAKE_CASE					=			sorted(set(self.__passcode   )   )
								_SCREAMING_SNAKE_CASE					=			[]

								# algorithm for creating a new shuffled list, keys_l, out of key_list_options
								for i in key_list_options:
														temp_list.extend(UpperCamelCase   )

														# checking breakpoints at which to pivot temporary sublist and add it into
														# keys_l
														if i in breakpoints or i == key_list_options[-1]:
																				keys_l.extend(temp_list[::-1]   )
																				temp_list.clear()

        # returning a shuffled keys_l to prevent brute force guessing of shift key
								return keys_l




		def      lowercase							(					self   ):
								_SCREAMING_SNAKE_CASE					=			sum(self.__neg_pos([ord(UpperCamelCase   ) for x in self.__passcode]   )   )
								return num if num > 0 else len(self.__passcode   )




		def      lowercase							(					self       ,    UpperCamelCase   ):
								_SCREAMING_SNAKE_CASE					=			""

								# decoding shift like Caesar cipher algorithm implementing negative shift or
								# reverse shift or left shift
								for i in encoded_message:
														_SCREAMING_SNAKE_CASE					=			self.__key_list.index(UpperCamelCase   )
														decoded_message += self.__key_list[
														    (position - self.__shift_key) % -len(self.__key_list   )
														]

								return decoded_message




		def      lowercase							(					self       ,    UpperCamelCase   ):
								_SCREAMING_SNAKE_CASE					=			""

								# encoding shift like Caesar cipher algorithm implementing positive shift or
								# forward shift or right shift
								for i in plaintext:
														_SCREAMING_SNAKE_CASE					=			self.__key_list.index(UpperCamelCase   )
														encoded_message += self.__key_list[
														    (position + self.__shift_key) % len(self.__key_list   )
														]

								return encoded_message



def       _a		(						_SCREAMING_SNAKE_CASE		: str = "Hello, this is a modified Caesar cipher"	):
						_SCREAMING_SNAKE_CASE					=			ShuffledShiftCipher()
						return cipa.decrypt(cipa.encrypt(_SCREAMING_SNAKE_CASE	)	)


if __name__ == "__main__":
						import doctest

						doctest.testmod()