





import random
import sys

from . import cryptomath_module as cryptomath

_lowerCamelCase					:				int  							=					(
    r""" !\"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`"""
    r"""abcdefghijklmnopqrstuvwxyz{|}~"""
)




def _a					(  SCREAMING_SNAKE_CASE__			:  List[Any] ,      SCREAMING_SNAKE_CASE__			:  Optional[int] ,      SCREAMING_SNAKE_CASE__			:  Optional[Any]   )       ->				None:

							'''simple docstring'''






							if mode == "encrypt":
														if key_a == 1:
																					sys.exit(
																					    "The affine cipher becomes weak when key "
																					    "A is set to 1. Choose different key"   )
														if key_b == 0:
																					sys.exit(
																					    "The affine cipher becomes weak when key "
																					    "B is set to 0. Choose different key"   )
							if key_a < 0 or key_b < 0 or key_b > len(_UpperCAmelCase   ) - 1:
														sys.exit(
														    "Key A must be greater than 0 and key B must "
														    f'''be between 0 and {len(_UpperCAmelCase   ) - 1}.'''   )
							if cryptomath.gcd(_UpperCAmelCase ,      len(_UpperCAmelCase   )   ) != 1:
														sys.exit(
														    f'''Key A {key_a} and the symbol set size {len(_UpperCAmelCase   )} '''
														    "are not relatively prime. Choose a different key."   )




def _a					(  SCREAMING_SNAKE_CASE__			:  List[str] ,      SCREAMING_SNAKE_CASE__			:  Union[str, Any]   )       ->				str:

							'''simple docstring'''






							SCREAMING_SNAKE_CASE__    ,SCREAMING_SNAKE_CASE__   :			Union[str, Any]      =						divmod(_UpperCAmelCase ,      len(_UpperCAmelCase   )   )
							check_keys(_UpperCAmelCase ,      _UpperCAmelCase ,      "encrypt"   )
							SCREAMING_SNAKE_CASE__   :			Dict      =						""
							for symbol in message:
														if symbol in SYMBOLS:
																					SCREAMING_SNAKE_CASE__   :			Optional[Any]      =						SYMBOLS.find(_UpperCAmelCase   )
																					cipher_text += SYMBOLS[(sym_index * key_a + key_b) % len(_UpperCAmelCase   )]
														else:
																					cipher_text += symbol
							return cipher_text




def _a					(  SCREAMING_SNAKE_CASE__			:  Dict ,      SCREAMING_SNAKE_CASE__			:  List[Any]   )       ->				str:

							'''simple docstring'''






							SCREAMING_SNAKE_CASE__    ,SCREAMING_SNAKE_CASE__   :			int      =						divmod(_UpperCAmelCase ,      len(_UpperCAmelCase   )   )
							check_keys(_UpperCAmelCase ,      _UpperCAmelCase ,      "decrypt"   )
							SCREAMING_SNAKE_CASE__   :			Dict      =						""
							SCREAMING_SNAKE_CASE__   :			Union[str, Any]      =						cryptomath.find_mod_inverse(_UpperCAmelCase ,      len(_UpperCAmelCase   )   )
							for symbol in message:
														if symbol in SYMBOLS:
																					SCREAMING_SNAKE_CASE__   :			str      =						SYMBOLS.find(_UpperCAmelCase   )
																					plain_text += SYMBOLS[
																					    (sym_index - key_b) * mod_inverse_of_key_a % len(_UpperCAmelCase   )
																					]
														else:
																					plain_text += symbol
							return plain_text




def _a					(  )       ->				int:

							'''simple docstring'''






							while True:
														SCREAMING_SNAKE_CASE__   :			str      =						random.randint(2 ,      len(_UpperCAmelCase   )   )
														SCREAMING_SNAKE_CASE__   :			Any      =						random.randint(2 ,      len(_UpperCAmelCase   )   )
														if cryptomath.gcd(_UpperCAmelCase ,      len(_UpperCAmelCase   )   ) == 1 and key_b % len(_UpperCAmelCase   ) != 0:
																					return key_b * len(_UpperCAmelCase   ) + key_b




def _a					(  )       ->				None:

							'''simple docstring'''






							SCREAMING_SNAKE_CASE__   :			Optional[int]      =						input("Enter message: "   ).strip()
							SCREAMING_SNAKE_CASE__   :			List[Any]      =						int(input("Enter key [2000 - 9000]: "   ).strip()   )
							SCREAMING_SNAKE_CASE__   :			List[Any]      =						input("Encrypt/Decrypt [E/D]: "   ).strip().lower()

							if mode.startswith("e"   ):
														SCREAMING_SNAKE_CASE__   :			Dict      =						"encrypt"
														SCREAMING_SNAKE_CASE__   :			Dict      =						encrypt_message(_UpperCAmelCase ,      _UpperCAmelCase   )
							elif mode.startswith("d"   ):
														SCREAMING_SNAKE_CASE__   :			str      =						"decrypt"
														SCREAMING_SNAKE_CASE__   :			int      =						decrypt_message(_UpperCAmelCase ,      _UpperCAmelCase   )
							print(f'''\n{mode.title()}ed text: \n{translated}'''   )


if __name__ == "__main__":
		import doctest

		doctest.testmod()
		# main()













"""simple docstring"""


from __future__ import annotations





def 							a__	(     _UpperCAmelCase		,   _UpperCAmelCase		,   _UpperCAmelCase		,   )			->     list[float | int]:

 '''simple docstring'''






 if not all((nth_term, start_term_a, common_ratio_r)		):
  return []
 snake_case__										= []
 snake_case__										= 1
 snake_case__										= common_ratio_r
 for _ in range(int(_UpperCAmelCase		)		):
  if not series:
   series.append(_UpperCAmelCase		)
  else:
   power += 1
   series.append(float(start_term_a * multiple		)		)
   snake_case__										= pow(float(_UpperCAmelCase		)		,   _UpperCAmelCase		)
 return series


if __name__ == "__main__":
   import doctest

   doctest.testmod()

   a__    :   int    						= float(input("""Enter the last number (n term) of the Geometric Series"""))
   a__    :   str    						= float(input("""Enter the starting term (a) of the Geometric Series"""))
   a__    :   str    						= float(
       input("""Enter the common ratio between two terms (r) of the Geometric Series""")
   )
   print("""Formula of Geometric Series => a + ar + ar^2 ... +ar^n""")
   print(geometric_series(nth_term, start_term_a, common_ratio_r))

