





"""simple docstring"""




from __future__ import annotations





def 		UpperCAmelCase__						(	_UpperCAmelCase					,   _UpperCAmelCase   ):






  """simple docstring"""





  A_		,			A_		,			A_    :			Dict									=    '', '', ''
  A_    :			Any									=    []

  for character in message_part:
    tmp.append(character_to_number[character]   )

  for each in tmp:
    one += each[0]
    two += each[1]
    three += each[2]

  return one + two + three





def 		UpperCAmelCase__						(	_UpperCAmelCase					,   _UpperCAmelCase   ):






  """simple docstring"""





  A_		,			A_    :			List[str]									=    '', ''
  A_    :			str									=    []

  for character in message_part:
    this_part += character_to_number[character]

  for digit in this_part:
    tmp += digit
    if len(_UpperCAmelCase   ) == len(_UpperCAmelCase   ):
      result.append(_UpperCAmelCase   )
      A_    :			Union[str, Any]									=    ''

  return result[0], result[1], result[2]





def 		UpperCAmelCase__						(	_UpperCAmelCase					,   _UpperCAmelCase   ):






  """simple docstring"""





  A_    :			Tuple									=    alphabet.replace(' '					,   ''   ).upper()
  A_    :			Tuple									=    message.replace(' '					,   ''   ).upper()

  # Check length and characters
  if len(_UpperCAmelCase   ) != 27:
    raise KeyError('Length of alphabet has to be 27.'   )
  for each in message:
    if each not in alphabet:
      raise ValueError('Each message character has to be included in alphabet!'   )

    # Generate dictionares
  A_    :			int									=    (
      '111',
      '112',
      '113',
      '121',
      '122',
      '123',
      '131',
      '132',
      '133',
      '211',
      '212',
      '213',
      '221',
      '222',
      '223',
      '231',
      '232',
      '233',
      '311',
      '312',
      '313',
      '321',
      '322',
      '323',
      '331',
      '332',
      '333',
  )
  A_    :			int									=    {}
  A_    :			List[str]									=    {}
  for letter, number in zip(_UpperCAmelCase					,   _UpperCAmelCase   ):
    A_    :			Dict									=    number
    A_    :			str									=    letter

  return message, alphabet, character_to_number, number_to_character





def 		UpperCAmelCase__						(	_UpperCAmelCase					,   _UpperCAmelCase = "ABCDEFGHIJKLMNOPQRSTUVWXYZ."					,   _UpperCAmelCase = 5   ):






  """simple docstring"""





  A_		,			A_		,			A_		,			A_    :			Dict									=    __prepare(
      _UpperCAmelCase					,   _UpperCAmelCase   )
  A_		,			A_    :			List[str]									=    '', ''

  for i in range(0					,   len(_UpperCAmelCase   ) + 1					,   _UpperCAmelCase   ):
    encrypted_numeric += __encrypt_part(
        message[i : i + period]					,   _UpperCAmelCase   )

  for i in range(0					,   len(_UpperCAmelCase   )					,   3   ):
    encrypted += number_to_character[encrypted_numeric[i : i + 3]]

  return encrypted





def 		UpperCAmelCase__						(	_UpperCAmelCase					,   _UpperCAmelCase = "ABCDEFGHIJKLMNOPQRSTUVWXYZ."					,   _UpperCAmelCase = 5   ):






  """simple docstring"""





  A_		,			A_		,			A_		,			A_    :			List[str]									=    __prepare(
      _UpperCAmelCase					,   _UpperCAmelCase   )
  A_    :			List[str]									=    []
  A_    :			int									=    ''

  for i in range(0					,   len(_UpperCAmelCase   ) + 1					,   _UpperCAmelCase   ):
    A_		,			A_		,			A_    :			Tuple									=    __decrypt_part(message[i : i + period]					,   _UpperCAmelCase   )

    for j in range(0					,   len(_UpperCAmelCase   )   ):
      decrypted_numeric.append(a[j] + b[j] + c[j]   )

  for each in decrypted_numeric:
    decrypted += number_to_character[each]

  return decrypted


if __name__ == "__main__":
   lowerCamelCase_	:		Union[str, Any]         =   'DEFEND THE EAST WALL OF THE CASTLE.'
   lowerCamelCase_	:		Optional[int]         =   encrypt_message(msg, 'EPSDUCVWYM.ZLKXNBTFGORIJHAQ')
   lowerCamelCase_	:		Tuple         =   decrypt_message(encrypted, 'EPSDUCVWYM.ZLKXNBTFGORIJHAQ')
   print(F"Encrypted: {encrypted}\nDecrypted: {decrypted}")





from itertools import count
from math import asin, pi, sqrt
def 							__lowerCAmelCase			(UpperCAmelCase_		):
    return (
        (1 - 2 * point) * sqrt(point - point**2		) + 2 * point + asin(sqrt(1 - point		)		)
    ) / 4
def 							__lowerCAmelCase			(UpperCAmelCase_		):
    a__  			=							(circles_number + 1 - sqrt(2 * circles_number		)) / (
        2 * (circles_number**2 + 1)
    )
    a__  			=							circles_number * intersection_y

    a__  			=							intersection_x * intersection_y / 2
    a__  			=							circle_bottom_arc_integral(
        1 / 2		) - circle_bottom_arc_integral(UpperCAmelCase_		)

    return triangle_area + concave_region_area
def 							__lowerCAmelCase			(UpperCAmelCase_ = 1 / 1_000		):
    a__  			=							(1 - pi / 4) / 4

    for n in count(1		):
        if concave_triangle_area(UpperCAmelCase_		) / l_section_area < fraction:
            return n

    return -1


if __name__ == "__main__":
 print(F"{solution() = }")






