






"""simple docstring"""







from __future__ import annotations

__a       :	Any             = tuple[int, int, int]
__a       :	Dict             = tuple[str, str, str]


# used alphabet --------------------------
# from string.ascii_uppercase
__a       :	Optional[Any]             = 'ABCDEFGHIJKLMNOPQRSTUVWXYZ'

# -------------------------- default selection --------------------------
# rotors --------------------------
__a       :	int             = 'EGZWVONAHDCLFQMSIPJBYUKXTR'
__a       :	Any             = 'FOBHMDKEXQNRAULPGSJVTYICZW'
__a       :	Union[str, Any]             = 'ZJXESIUQLHAVRMDOYGTNFWPBKC'
# reflector --------------------------
__a       :	Dict             = {
    '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 --------------------------
__a       :	List[Any]             = 'RMDJXFUWGISLHVTCQNKYPBEZOA'
__a       :	Union[str, Any]             = 'SGLCPQWZHKXAREONTFBVIYJUDM'
__a       :	List[Any]             = 'HVSICLTYKQUBXDWAJZOMFGPREN'
__a       :	List[str]             = 'RZWQHFMVDBKICJLNTUXAGYPSOE'
__a       :	List[str]             = 'LFKIJODBEGAMQPXVUHYSTCZRWN'
__a       :	Optional[Any]             = 'KOAEGVDHXPQZMLFTYWJNBRCIUS'





def        SCREAMING_SNAKE_CASE       (      lowerCamelCase_ ,     lowerCamelCase_ ,     lowerCamelCase_):
					# Checks if there are 3 unique rotors

					if (unique_rotsel := len(set(lowerCamelCase_))) < 3:
										a__          =  f'Please use 3 unique rotors (not {unique_rotsel})'
										raise Exception(lowerCamelCase_)

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

					# Validates string and returns dict
					a__          =  _plugboard(lowerCamelCase_)

					return rotpos, rotsel, pbdict





def        SCREAMING_SNAKE_CASE       (      lowerCamelCase_):

					# tests the input string if it
					# a) is type string
					# b) has even length (so pairs can be made)
					if not isinstance(lowerCamelCase_ ,     lowerCamelCase_):
										a__          =  f'Plugboard setting isn\'t type string ({type(lowerCamelCase_)})'
										raise TypeError(lowerCamelCase_)
					elif len(lowerCamelCase_) % 2 != 0:
										a__          =  f'Odd number of symbols ({len(lowerCamelCase_)})'
										raise Exception(lowerCamelCase_)
					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(lowerCamelCase_)
										elif i in tmppbl:
															a__          =  f'Duplicate symbol ({i})'
															raise Exception(lowerCamelCase_)
										else:
															tmppbl.add(lowerCamelCase_)
					del tmppbl

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

					return pb





def        SCREAMING_SNAKE_CASE       (      lowerCamelCase_ ,     lowerCamelCase_ ,     lowerCamelCase_ = (rotora, rotora, rotora) ,     lowerCamelCase_ = "" ,     ):
					a__          =  text.upper()
					a__       ,a__       ,a__          =  _validator(
					    lowerCamelCase_ ,     lowerCamelCase_ ,     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(lowerCamelCase_) + rotorposa
															a__          =  rotora[index % len(lowerCamelCase_)]

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

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

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

															a__          =  reflector[symbol]

															# 2nd rotors
															a__          =  abc[rotora.index(lowerCamelCase_) - rotorposa]
															a__          =  abc[rotora.index(lowerCamelCase_) - rotorposa]
															a__          =  abc[rotora.index(lowerCamelCase_) - rotorposa]

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

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

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

					return "".join(lowerCamelCase_)


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

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










"""simple docstring"""







__a       :	Union[str, Any]             = range(2, 20 + 1)
__a       :	Any             = [10**k for k in range(ks[-1] + 1)]
__a       :	dict[int, dict[int, list[list[int]]]]             = {}





def        SCREAMING_SNAKE_CASE       (      lowerCamelCase_ ,     lowerCamelCase_ ,     lowerCamelCase_ ,     lowerCamelCase_):
					a__          =  sum(a_i[j] for j in range(lowerCamelCase_ ,     len(lowerCamelCase_)))
					a__          =  sum(a_i[j] * base[j] for j in range(min(len(lowerCamelCase_) ,     lowerCamelCase_)))

					a__       ,a__          =  0, 0
					a__          =  n - i

					a__          =  memo.get(lowerCamelCase_)

					if sub_memo is not None:
										a__          =  sub_memo.get(lowerCamelCase_)

										if jumps is not None and len(lowerCamelCase_) > 0:
															# find and make the largest jump without going over
															a__          =  -1
															for _k in range(len(lowerCamelCase_) - 1 ,     -1 ,     -1):
																				if jumps[_k][2] <= k and jumps[_k][1] <= max_dn:
																									a__          =  _k
																									break

															if max_jump >= 0:
																				a__       ,a__       ,a__          =  jumps[max_jump]
																				# since the difference between jumps is cached, add c
																				a__          =  diff + c
																				for j in range(min(lowerCamelCase_ ,     len(lowerCamelCase_))):
																									a__       ,a__          =  divmod(lowerCamelCase_ ,     10)
																				if new_c > 0:
																									add(lowerCamelCase_ ,     lowerCamelCase_ ,     lowerCamelCase_)

										else:
															a__          =  []
					else:
										a__          =  {c: []}
										a__          =  sub_memo

					if dn >= max_dn or c + diff >= base[k]:
										return diff, dn

					if k > ks[0]:
										while True:
															# keep doing smaller jumps
															a__       ,a__          =  next_term(lowerCamelCase_ ,     k - 1 ,     i + dn ,     lowerCamelCase_)
															diff += _diff
															dn += terms_jumped

															if dn >= max_dn or c + diff >= base[k]:
																				break
					else:
										# would be too small a jump, just compute sequential terms instead
										a__       ,a__          =  compute(lowerCamelCase_ ,     lowerCamelCase_ ,     i + dn ,     lowerCamelCase_)
										diff += _diff
										dn += terms_jumped

					a__          =  sub_memo[c]

					# keep jumps sorted by # of terms skipped
					a__          =  0
					while j < len(lowerCamelCase_):
										if jumps[j][1] > dn:
															break
										j += 1

					# cache the jump for this value digitsum(b) and c
					sub_memo[c].insert(lowerCamelCase_ ,     (diff, dn, k))
					return (diff, dn)





def        SCREAMING_SNAKE_CASE       (      lowerCamelCase_ ,     lowerCamelCase_ ,     lowerCamelCase_ ,     lowerCamelCase_):
					if i >= n:
										return 0, i
					if k > len(lowerCamelCase_):
										a_i.extend([0 for _ in range(k - len(lowerCamelCase_))])

					# note: a_i -> b * 10^k + c
					# ds_b -> digitsum(b)
					# ds_c -> digitsum(c)
					a__          =  i
					a__       ,a__       ,a__          =  0, 0, 0
					for j in range(len(lowerCamelCase_)):
										if j >= k:
															ds_b += a_i[j]
										else:
															ds_c += a_i[j]

					while i < n:
										i += 1
										a__          =  ds_c + ds_b
										diff += addend
										a__          =  0
										for j in range(lowerCamelCase_):
															a__          =  a_i[j] + addend
															a__       ,a__          =  divmod(lowerCamelCase_ ,     10)

															ds_c += a_i[j]

										if addend > 0:
															break

					if addend > 0:
										add(lowerCamelCase_ ,     lowerCamelCase_ ,     lowerCamelCase_)
					return diff, i - start_i





def        SCREAMING_SNAKE_CASE       (      lowerCamelCase_ ,     lowerCamelCase_ ,     lowerCamelCase_):
					for j in range(lowerCamelCase_ ,     len(lowerCamelCase_)):
										a__          =  digits[j] + addend
										if s >= 10:
															a__       ,a__          =  divmod(lowerCamelCase_ ,     10)
															a__          =  addend // 10 + quotient
										else:
															a__          =  s
															a__          =  addend // 10

										if addend == 0:
															break

					while addend > 0:
										a__       ,a__          =  divmod(lowerCamelCase_ ,     10)
										digits.append(lowerCamelCase_)





def        SCREAMING_SNAKE_CASE       (      lowerCamelCase_ = 10**15):
					a__          =  [1]
					a__          =  1
					a__          =  0
					while True:
										a__       ,a__          =  next_term(lowerCamelCase_ ,     20 ,     i + dn ,     lowerCamelCase_)
										dn += terms_jumped
										if dn == n - i:
															break

					a__          =  0
					for j in range(len(lowerCamelCase_)):
										a_n += digits[j] * 10**j
					return a_n


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


