'''simple docstring'''




from __future__ import annotations

import math
from collections import Counter
from string import ascii_lowercase

def _UpperCamelCase   (       SCREAMING_SNAKE_CASE_							):
					lowercase_				,lowercase_					:       Optional[Any]     				=					analyze_text(_snake_case							)
					lowercase_					:       List[str]     				=					list(' ' + ascii_lowercase							)
					# what is our total sum of probabilities.
					lowercase_					:       Tuple     				=					sum(single_char_strings.values()							)

					# one length string
					lowercase_					:       Optional[int]     				=					0
					# for each alpha we go in our dict and if it is in it we calculate entropy
					for ch in my_alphas:
										if ch in single_char_strings:
															lowercase_					:       Optional[Any]     				=					single_char_strings[ch]
															lowercase_					:       List[Any]     				=					my_str / all_sum
															my_fir_sum += prob * math.loga(_snake_case							)  # entropy formula.

    # print entropy
					print(f'''{round(-1 * my_fir_sum							):.1f}'''							)

					# two len string
					lowercase_					:       List[Any]     				=					sum(two_char_strings.values()							)
					lowercase_					:       Tuple     				=					0
					# for each alpha (two in size) calculate entropy.
					for cha in my_alphas:
										for cha in my_alphas:
															lowercase_					:       Optional[Any]     				=					cha + cha
															if sequence in two_char_strings:
																				lowercase_					:       List[Any]     				=					two_char_strings[sequence]
																				lowercase_					:       List[str]     				=					int(_snake_case							) / all_sum
																				my_sec_sum += prob * math.loga(_snake_case							)

    # print second entropy
					print(f'''{round(-1 * my_sec_sum							):.1f}'''							)

					# print the difference between them
					print(f'''{round((-1 * my_sec_sum) - (-1 * my_fir_sum)							):.1f}'''							)

def _UpperCamelCase   (       SCREAMING_SNAKE_CASE_							):
					lowercase_					:       Optional[int]     				=					Counter()  # type: ignore
					lowercase_					:       List[Any]     				=					Counter()  # type: ignore
					single_char_strings[text[-1]] += 1

					# first case when we have space at start.
					two_char_strings[" " + text[0]] += 1
					for i in range(0  ,       len(_snake_case							) - 1							):
										single_char_strings[text[i]] += 1
										two_char_strings[text[i : i + 2]] += 1
					return single_char_strings, two_char_strings

def _UpperCamelCase   (       ):
					import doctest

					doctest.testmod()
					# text = (
					#     "Had repulsive dashwoods suspicion sincerity but advantage now him. Remark "
					#     "easily garret nor nay. Civil those mrs enjoy shy fat merry. You greatest "
					#     "jointure saw horrible. He private he on be imagine suppose. Fertile "
					#     "beloved evident through no service elderly is. Blind there if every no so "
					#     "at. Own neglected you preferred way sincerity delivered his attempted. To "
					#     "of message cottage windows do besides against uncivil.  Delightful "
					#     "unreserved impossible few estimating men favourable see entreaties. She "
					#     "propriety immediate was improving. He or entrance humoured likewise "
					#     "moderate. Much nor game son say feel. Fat make met can must form into "
					#     "gate. Me we offending prevailed discovery. "
					# )

					# calculate_prob(text)


if __name__ == "__main__":
	main()





'''simple docstring'''




def _UpperCamelCase   (       SCREAMING_SNAKE_CASE_							):
     lowercase_					:       List[Any]     				=					len(SCREAMING_SNAKE_CASE_							)
     for _ in range(SCREAMING_SNAKE_CASE_							):
          for i in range(_ % 2  ,       arr_size - 1  ,       2							):
               if arr[i + 1] < arr[i]:
                    lowercase_				,lowercase_					:       Optional[Any]     				=					arr[i + 1], arr[i]

     return arr


if __name__ == "__main__":
 _A								=   list(range(1_0, 0, -1))
 print(F"""Original: {arr}. Sorted: {odd_even_transposition(arr)}""")




