





'''simple docstring'''







from __future__ import annotations

lowerCAmelCase_					:    str      	=			tuple[int, int, int]
lowerCAmelCase_					:    int      	=			tuple[str, str, str]


# used alphabet --------------------------
# from string.ascii_uppercase
lowerCAmelCase_					:    Union[str, Any]      	=			'ABCDEFGHIJKLMNOPQRSTUVWXYZ'

# -------------------------- default selection --------------------------
# rotors --------------------------
lowerCAmelCase_					:    Any      	=			'EGZWVONAHDCLFQMSIPJBYUKXTR'
lowerCAmelCase_					:    Optional[Any]      	=			'FOBHMDKEXQNRAULPGSJVTYICZW'
lowerCAmelCase_					:    Any      	=			'ZJXESIUQLHAVRMDOYGTNFWPBKC'
# reflector --------------------------
lowerCAmelCase_					:    int      	=			{
    'A': 'N',
    'N': 'A',
    'B': 'O',
    'O': 'B',
    'C': 'P',
    'P': 'C',
    'D': 'Q',
    'Q': 'D',
    'E': 'R',
    'R': 'E',
    'F': 'S',
    'S': 'F',
    'G': 'T',
    'T': 'G',
    'H': 'U',
    'U': 'H',
    'I': 'V',
    'V': 'I',
    'J': 'W',
    'W': 'J',
    'K': 'X',
    'X': 'K',
    'L': 'Y',
    'Y': 'L',
    'M': 'Z',
    'Z': 'M',
}

# -------------------------- extra rotors --------------------------
lowerCAmelCase_					:    int      	=			'RMDJXFUWGISLHVTCQNKYPBEZOA'
lowerCAmelCase_					:    str      	=			'SGLCPQWZHKXAREONTFBVIYJUDM'
lowerCAmelCase_					:    List[Any]      	=			'HVSICLTYKQUBXDWAJZOMFGPREN'
lowerCAmelCase_					:    Optional[Any]      	=			'RZWQHFMVDBKICJLNTUXAGYPSOE'
lowerCAmelCase_					:    Optional[int]      	=			'LFKIJODBEGAMQPXVUHYSTCZRWN'
lowerCAmelCase_					:    Optional[Any]      	=			'KOAEGVDHXPQZMLFTYWJNBRCIUS'






def  _lowerCamelCase				( lowercase						:      RotorPositionT    ,							lowercase						:      RotorSelectionT    ,							lowercase						:      str						)	->	tuple[RotorPositionT, RotorSelectionT, dict[str, str]]:
				# Checks if there are 3 unique rotors

				if (unique_rotsel := len(set(lowercase						)						)) < 3:
								_a								= F'Please use 3 unique rotors (not {unique_rotsel})'
								raise Exception(lowercase						)

				# Checks if rotor positions are valid
				_a	,					_a	,					_a								= rotpos
				if not 0 < rotorposa <= len(lowercase						):
								_a								= F'First rotor position is not within range of 1..26 ({rotorposa}'
								raise ValueError(lowercase						)
				if not 0 < rotorposa <= len(lowercase						):
								_a								= F'Second rotor position is not within range of 1..26 ({rotorposa})'
								raise ValueError(lowercase						)
				if not 0 < rotorposa <= len(lowercase						):
								_a								= F'Third rotor position is not within range of 1..26 ({rotorposa})'
								raise ValueError(lowercase						)

				# Validates string and returns dict
				_a								= _plugboard(lowercase						)

				return rotpos, rotsel, pbdict






def  _lowerCamelCase				( lowercase						:      str						)	->	dict[str, str]:

				# tests the input string if it
				# a) is type string
				# b) has even length (so pairs can be made)
				if not isinstance(lowercase    ,							lowercase						):
								_a								= F'Plugboard setting isn\'t type string ({type(lowercase						)})'
								raise TypeError(lowercase						)
				elif len(lowercase						) % 2 != 0:
								_a								= F'Odd number of symbols ({len(lowercase						)})'
								raise Exception(lowercase						)
				elif pbstring == "":
								return {}

				pbstring.replace(" "    ,							""						)

				# Checks if all characters are unique
				_a								= set()
				for i in pbstring:
								if i not in abc:
												_a								= F'\'{i}\' not in list of symbols'
												raise Exception(lowercase						)
								elif i in tmppbl:
												_a								= F'Duplicate symbol ({i})'
												raise Exception(lowercase						)
								else:
												tmppbl.add(lowercase						)
				del tmppbl

				# Created the dictionary
				_a								= {}
				for j in range(0    ,							len(lowercase						) - 1    ,							2						):
								_a								= pbstring[j + 1]
								_a								= pbstring[j]

				return pb






def  _lowerCamelCase				( lowercase						:      str    ,							lowercase						:      RotorPositionT    ,							lowercase						:      RotorSelectionT = (rotora, rotora, rotora)    ,							lowercase						:      str = ""    ,							)	->	str:
				_a								= text.upper()
				_a	,					_a	,					_a								= _validator(
				    lowercase    ,							lowercase    ,							plugb.upper()						)

				_a	,					_a	,					_a								= rotor_position
				_a	,					_a	,					_a								= rotor_selection
				rotorposa -= 1
				rotorposa -= 1
				rotorposa -= 1

				_a								= []

				# encryption/decryption process --------------------------
				for symbol in text:
								if symbol in abc:
												# 1st plugboard --------------------------
												if symbol in plugboard:
																_a								= plugboard[symbol]

												# rotor ra --------------------------
												_a								= abc.index(lowercase						) + rotorposa
												_a								= rotora[index % len(lowercase						)]

												# rotor rb --------------------------
												_a								= abc.index(lowercase						) + rotorposa
												_a								= rotora[index % len(lowercase						)]

												# rotor rc --------------------------
												_a								= abc.index(lowercase						) + rotorposa
												_a								= rotora[index % len(lowercase						)]

												# reflector --------------------------
												# this is the reason you don't need another machine to decipher

												_a								= reflector[symbol]

												# 2nd rotors
												_a								= abc[rotora.index(lowercase						) - rotorposa]
												_a								= abc[rotora.index(lowercase						) - rotorposa]
												_a								= abc[rotora.index(lowercase						) - rotorposa]

												# 2nd plugboard
												if symbol in plugboard:
																_a								= plugboard[symbol]

												# moves/resets rotor positions
												rotorposa += 1
												if rotorposa >= len(lowercase						):
																_a								= 0
																rotorposa += 1
												if rotorposa >= len(lowercase						):
																_a								= 0
																rotorposa += 1
												if rotorposa >= len(lowercase						):
																_a								= 0

        # else:
        #    pass
        #    Error could be also raised
        #    raise ValueError(
        #       'Invalid symbol('+repr(symbol)+')')
								result.append(lowercase						)

				return "".join(lowercase						)


if __name__ == "__main__":
					lowerCAmelCase_					:    Union[str, Any]      	=			'This is my Python script that emulates the Enigma machine from WWII.'
					lowerCAmelCase_					:    Optional[Any]      	=			(1, 1, 1)
					lowerCAmelCase_					:    List[str]      	=			'pictures'
					lowerCAmelCase_					:    List[str]      	=			(rotora, rotora, rotora)
					lowerCAmelCase_					:    List[Any]      	=			enigma(message, rotor_pos, rotor_sel, pb)

					print('Encrypted message:', en)
					print('Decrypted message:', enigma(en, rotor_pos, rotor_sel, pb))






"""simple docstring"""






import math







def      _snake_case			(				lowercase__		):
				return math.sqrt(lowercase__		) * math.sqrt(lowercase__		) == num







def      _snake_case			(				lowercase__		):
				_lowerCamelCase     :			Optional[int]    =    0
				_lowerCamelCase     :			List[Any]    =    n
				while left <= right:
								_lowerCamelCase     :			str    =    (left + right) // 2
								if mid**2 == n:
												return True
								elif mid**2 > n:
												_lowerCamelCase     :			str    =    mid - 1
								else:
												_lowerCamelCase     :			Optional[int]    =    mid + 1
				return False


if __name__ == "__main__":
			import doctest

			doctest.testmod()