



from __future__ import annotations

import math
from collections import Counter
from string import ascii_lowercase



def    snake_case_				(    _SCREAMING_SNAKE_CASE   ):
 __lowercase       ,    __lowercase		       =			analyze_text(_SCREAMING_SNAKE_CASE   )
 __lowercase		       =			list(" " + ascii_lowercase   )
 # what is our total sum of probabilities.
 __lowercase		       =			sum(single_char_strings.values()   )

 # one length string
 __lowercase		       =			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		       =			single_char_strings[ch]
   __lowercase		       =			my_str / all_sum
   my_fir_sum += prob * math.loga(_SCREAMING_SNAKE_CASE   )  # entropy formula.

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

 # two len string
 __lowercase		       =			sum(two_char_strings.values()   )
 __lowercase		       =			0
 # for each alpha (two in size) calculate entropy.
 for cha in my_alphas:
  for cha in my_alphas:
   __lowercase		       =			cha + cha
   if sequence in two_char_strings:
    __lowercase		       =			two_char_strings[sequence]
    __lowercase		       =			int(_SCREAMING_SNAKE_CASE   ) / all_sum
    my_sec_sum += prob * math.loga(_SCREAMING_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    snake_case_				(    _SCREAMING_SNAKE_CASE   ):
 __lowercase		       =			Counter()  # type: ignore
 __lowercase		       =			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(_SCREAMING_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    snake_case_				(    ):
 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()








def    snake_case_				(    _SCREAMING_SNAKE_CASE   ):

	# bit count represents no. of bits in the gray code
	if bit_count < 0:
		raise ValueError("The given input must be positive"   )

	# get the generated string sequence
	__lowercase		       =			gray_code_sequence_string(_SCREAMING_SNAKE_CASE   )
	#
	# convert them to integers
	for i in range(len(_SCREAMING_SNAKE_CASE   )   ):
		__lowercase		       =			int(sequence[i]  ,	2   )

	return sequence



def    snake_case_				(    _SCREAMING_SNAKE_CASE   ):

	# The approach is a recursive one
	# Base case achieved when either n = 0 or n=1
	if bit_count == 0:
		return ["0"]

	if bit_count == 1:
		return ["0", "1"]

	__lowercase		       =			1 << bit_count  # defines the length of the sequence
	# 1<< n is equivalent to 2^n

	# recursive answer will generate answer for n-1 bits
	__lowercase		       =			gray_code_sequence_string(bit_count - 1   )

	__lowercase		       =			[]

	# append 0 to first half of the smaller sequence generated
	for i in range(seq_len // 2   ):
		__lowercase		       =			"0" + smaller_sequence[i]
		sequence.append(_SCREAMING_SNAKE_CASE   )

	# append 1 to second half ... start from the end of the list
	for i in reversed(range(seq_len // 2   )   ):
		__lowercase		       =			"1" + smaller_sequence[i]
		sequence.append(_SCREAMING_SNAKE_CASE   )

	return sequence


if __name__ == "__main__":
	import doctest

	doctest.testmod()



