




'''simple docstring'''
from __future__ import annotations





def 			lowerCamelCase(							SCREAMING_SNAKE_CASE_       ,SCREAMING_SNAKE_CASE_ = None       ,SCREAMING_SNAKE_CASE_ = None       ,SCREAMING_SNAKE_CASE_ = False       ,)		->		tuple[int, float, str]:
			A_									= cipher_alphabet or [chr(a__     ) for i in range(97       ,123     )]

			# 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)
						A_									= {
						    'a': 0.08_497,
						    'b': 0.01_492,
						    'c': 0.02_202,
						    'd': 0.04_253,
						    'e': 0.11_162,
						    'f': 0.02_228,
						    'g': 0.02_015,
						    'h': 0.06_094,
						    'i': 0.07_546,
						    'j': 0.00_153,
						    'k': 0.01_292,
						    'l': 0.04_025,
						    'm': 0.02_406,
						    'n': 0.06_749,
						    'o': 0.07_507,
						    'p': 0.01_929,
						    'q': 0.00_095,
						    'r': 0.07_587,
						    's': 0.06_327,
						    't': 0.09_356,
						    'u': 0.02_758,
						    'v': 0.00_978,
						    'w': 0.02_560,
						    'x': 0.00_150,
						    'y': 0.01_994,
						    'z': 0.00_077,
						}
			else:
						# Custom frequencies dictionary
						A_									= frequencies_dict

			if not case_sensitive:
						A_									= ciphertext.lower()

			# Chi squared statistic values
			A_									= {}

			# cycle through all of the shifts
			for shift in range(len(a__     )     ):
						A_									= ''

						# decrypt the message with the shift
						for letter in ciphertext:
									try:
												# Try to index the letter in the alphabet
												A_									= (alphabet_letters.index(letter.lower()     ) - shift) % len(
												    a__     )
												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

						A_									= 0.0

						# Loop through each letter in the decoded message with the shift
						for letter in decrypted_with_shift:
									if case_sensitive:
												A_									= letter.lower()
												if letter in frequencies:
															# Get the amount of times the letter occurs in the message
															A_									= decrypted_with_shift.lower().count(a__     )

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

															# Complete the chi squared statistic formula
															A_									= ((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
															A_									= decrypted_with_shift.count(a__     )

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

															# Complete the chi squared statistic formula
															A_									= ((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
						A_									= (
						    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(SCREAMING_SNAKE_CASE_     ) -> tuple[float, str]:
						return chi_squared_statistic_values[key]

			A_									= min(
			    a__       ,key=a__       ,)

			# Get all the data from the most likely cipher (key, decoded message)
			(
			    (
			    A_			
			)		, (
			    A_			
			)		, 			
			)									= 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,
			)








def 			lowerCAmelCase__					(     a__:						list			)    ->						list:


							'''simple docstring'''





							if len(a__			) < 2:
														return collection

							def circle_sort_util(a__:						list     ,    a__:						int     ,    a__:						int			) -> bool:
														_UpperCAmelCase											=     False

														if low == high:
																					return swapped

														_UpperCAmelCase											=     low
														_UpperCAmelCase											=     high

														while left < right:
																					if collection[left] > collection[right]:
																												_UpperCAmelCase						,			_UpperCAmelCase											=     (
																												    collection[right],
																												    collection[left],
																												)
																												_UpperCAmelCase											=     True

																					left += 1
																					right -= 1

														if left == right and collection[left] > collection[right + 1]:
																					_UpperCAmelCase						,			_UpperCAmelCase											=     (
																					    collection[right + 1],
																					    collection[left],
																					)

																					_UpperCAmelCase											=     True

														_UpperCAmelCase											=     low + int((high - low) / 2			)
														_UpperCAmelCase											=     circle_sort_util(a__     ,    a__     ,    a__			)
														_UpperCAmelCase											=     circle_sort_util(a__     ,    mid + 1     ,    a__			)

														return swapped or left_swap or right_swap

							_UpperCAmelCase											=     True

							while is_not_sorted is True:
														_UpperCAmelCase											=     circle_sort_util(a__     ,    0     ,    len(a__			) - 1			)

							return collection


if __name__ == "__main__":
		lowerCAmelCase__    :Tuple       =				input('''Enter numbers separated by a comma:\n''').strip()
		lowerCAmelCase__    :List[str]       =				[int(item) for item in user_input.split(''',''')]
		print(circle_sort(unsorted))
