



"""simple docstring"""







from __future__ import annotations



def      __UpperCAmelCase      (    __lowerCamelCase						,     __lowerCamelCase = None						,     __lowerCamelCase = None						,     __lowerCamelCase = False						,     )							->      Union[str, Any]:
		lowercase__   :    Optional[int]				=			cipher_alphabet or [chr(_lowerCamelCase	) for i in range(97						,     1_23	)]

		# If the argument is None or the user provided an empty dictionary
		if not frequencies_dict:
				# Frequencies of letters in the english language (how much they show up)
				lowercase__   :    List[str]				=			{
				    '''a''': 0.0_8_4_9_7,
				    '''b''': 0.0_1_4_9_2,
				    '''c''': 0.0_2_2_0_2,
				    '''d''': 0.0_4_2_5_3,
				    '''e''': 0.1_1_1_6_2,
				    '''f''': 0.0_2_2_2_8,
				    '''g''': 0.0_2_0_1_5,
				    '''h''': 0.0_6_0_9_4,
				    '''i''': 0.0_7_5_4_6,
				    '''j''': 0.0_0_1_5_3,
				    '''k''': 0.0_1_2_9_2,
				    '''l''': 0.0_4_0_2_5,
				    '''m''': 0.0_2_4_0_6,
				    '''n''': 0.0_6_7_4_9,
				    '''o''': 0.0_7_5_0_7,
				    '''p''': 0.0_1_9_2_9,
				    '''q''': 0.0_0_0_9_5,
				    '''r''': 0.0_7_5_8_7,
				    '''s''': 0.0_6_3_2_7,
				    '''t''': 0.0_9_3_5_6,
				    '''u''': 0.0_2_7_5_8,
				    '''v''': 0.0_0_9_7_8,
				    '''w''': 0.0_2_5_6_0,
				    '''x''': 0.0_0_1_5_0,
				    '''y''': 0.0_1_9_9_4,
				    '''z''': 0.0_0_0_7_7,
				}
		else:
				# Custom frequencies dictionary
				lowercase__   :    str				=			frequencies_dict

		if not case_sensitive:
				lowercase__   :    int				=			ciphertext.lower()

		# Chi squared statistic values
		lowercase__   :    str				=			{}

		# cycle through all of the shifts
		for shift in range(len(_lowerCamelCase	)	):
				lowercase__   :    Any				=			''''''

				# decrypt the message with the shift
				for letter in ciphertext:
						try:
								# Try to index the letter in the alphabet
								lowercase__   :    List[Any]				=			(alphabet_letters.index(letter.lower()	) - shift) % len(
								    _lowerCamelCase	)
								decrypted_with_shift += (
								    alphabet_letters[new_key].upper()
								    if case_sensitive and letter.isupper()
								    else alphabet_letters[new_key]
								)
						except ValueError:
								# Append the character if it isn't in the alphabet
								decrypted_with_shift += letter

				lowercase__   :    Dict				=			0.0

				# Loop through each letter in the decoded message with the shift
				for letter in decrypted_with_shift:
						if case_sensitive:
								lowercase__   :    List[str]				=			letter.lower()
								if letter in frequencies:
										# Get the amount of times the letter occurs in the message
										lowercase__   :    int				=			decrypted_with_shift.lower().count(_lowerCamelCase	)

										# Get the excepcted amount of times the letter should appear based
										# on letter frequencies
										lowercase__   :    Any				=			frequencies[letter] * occurrences

										# Complete the chi squared statistic formula
										lowercase__   :    str				=			((occurrences - expected) ** 2) / expected

										# Add the margin of error to the total chi squared statistic
										chi_squared_statistic += chi_letter_value
						else:
								if letter.lower() in frequencies:
										# Get the amount of times the letter occurs in the message
										lowercase__   :    Union[str, Any]				=			decrypted_with_shift.count(_lowerCamelCase	)

										# Get the excepcted amount of times the letter should appear based
										# on letter frequencies
										lowercase__   :    Optional[int]				=			frequencies[letter] * occurrences

										# Complete the chi squared statistic formula
										lowercase__   :    int				=			((occurrences - expected) ** 2) / expected

										# Add the margin of error to the total chi squared statistic
										chi_squared_statistic += chi_letter_value

        # Add the data to the chi_squared_statistic_values dictionary
				lowercase__   :    List[str]				=			(
				    chi_squared_statistic,
				    decrypted_with_shift,
				)

		# Get the most likely cipher by finding the cipher with the smallest chi squared
		# statistic
		def chi_squared_statistic_values_sorting_key(__lowerCamelCase	) -> tuple[float, str]:
				return chi_squared_statistic_values[key]

		lowercase__   :    Optional[Any]				=			min(
		    _lowerCamelCase						,     key=_lowerCamelCase						,     )

		# Get all the data from the most likely cipher (key, decoded message)
		(
		    (
		    lowercase__	
		)		,			(
		    lowercase__	
		)		,				
		)   :    Optional[int]				=			chi_squared_statistic_values[most_likely_cipher]

		# Return the data on the most likely shift
		return (
		    most_likely_cipher,
		    most_likely_cipher_chi_squared_value,
		    decoded_most_likely_cipher,
		)







'''simple docstring'''

import warnings


warnings.warn(
    "memory_utils has been reorganized to utils.memory. Import `find_executable_batchsize` from the main `__init__`: "
    "`from accelerate import find_executable_batch_size` to avoid this warning.",
    FutureWarning,
)



