





from __future__ import annotations

import math
from collections import Counter
from string import ascii_lowercase





def    __UpperCamelCase      (    a) ->None:
					lowerCamelCase__    ,		lowerCamelCase__       =       analyze_text(a)
					lowerCamelCase__       =       list(" " + ascii_lowercase)
					# what is our total sum of probabilities.
					lowerCamelCase__       =       sum(single_char_strings.values())

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

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

					# two len string
					lowerCamelCase__       =       sum(two_char_strings.values())
					lowerCamelCase__       =       0
					# for each alpha (two in size) calculate entropy.
					for cha in my_alphas:
										for cha in my_alphas:
															lowerCamelCase__       =       cha + cha
															if sequence in two_char_strings:
																				lowerCamelCase__       =       two_char_strings[sequence]
																				lowerCamelCase__       =       int(a) / all_sum
																				my_sec_sum += prob * math.loga(a)

    # 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      (    a) ->tuple[dict, dict]:
					lowerCamelCase__       =       Counter()  # type: ignore
					lowerCamelCase__       =       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(a) - 1):
										single_char_strings[text[i]] += 1
										two_char_strings[text[i : i + 2]] += 1
					return single_char_strings, two_char_strings





def    __UpperCamelCase      (    ) ->Optional[Any]:
					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    __UpperCamelCase      (    a,     a,     a=False) ->Dict:

					if isinstance(a,     a) and isinstance(a,     a):
										lowerCamelCase__       =       len(set_a.intersection(a))

										if alternative_union:
															lowerCamelCase__       =       len(a) + len(a)
										else:
															lowerCamelCase__       =       len(set_a.union(a))

										return intersection / union

					if isinstance(a,     (list, tuple)) and isinstance(a,     (list, tuple)):
										lowerCamelCase__       =       [element for element in set_a if element in set_b]

										if alternative_union:
															lowerCamelCase__       =       len(a) + len(a)
															return len(a) / union
										else:
															lowerCamelCase__       =       set_a + [element for element in set_b if element not in set_a]
															return len(a) / len(a)

										return len(a) / len(a)
					return None


if __name__ == "__main__":
						A_												=     {"a", "b", "c", "d", "e"}
						A_												=     {"c", "d", "e", "f", "h", "i"}
						print(jaccard_similarity(set_a, set_b))

