





'''simple docstring'''





from __future__ import annotations

import math
from collections import Counter
from string import ascii_lowercase




def 	lowerCAmelCase_					(						__UpperCAmelCase:    str   )   ->			Optional[int]:
    UpperCamelCase__							:       str      =   analyze_text(__UpperCamelCase   )
    UpperCamelCase__							:       Any      =   list(''' ''' + ascii_lowercase   )
    # what is our total sum of probabilities.
    UpperCamelCase__							:       str      =   sum(single_char_strings.values()   )

    # one length string
    UpperCamelCase__							:       Tuple      =   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:
            UpperCamelCase__							:       str      =   single_char_strings[ch]
            UpperCamelCase__							:       List[Any]      =   my_str / all_sum
            my_fir_sum += prob * math.loga(__UpperCamelCase   )  # entropy formula.

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

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

    # 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 	lowerCAmelCase_					(						__UpperCAmelCase:    str   )   ->			Optional[Any]:
    UpperCamelCase__							:       str      =   Counter()  # type: ignore
    UpperCamelCase__							:       int      =   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(__UpperCamelCase   ) - 1   ):
        single_char_strings[text[i]] += 1
        two_char_strings[text[i : i + 2]] += 1
    return single_char_strings, two_char_strings




def 	lowerCAmelCase_					(						)   ->			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()








from __future__ import annotations




def 	lowerCAmelCase_					(						__UpperCAmelCase:    str	,     __UpperCAmelCase:    str   )   ->			bool:
    UpperCamelCase__							:       List[str]      =   get_failure_array(__UpperCAmelCase   )

    # 2) Step through text searching for pattern
    UpperCamelCase__     ,UpperCamelCase__							:       Dict      =   0, 0  # index into text, pattern
    while i < len(__UpperCAmelCase   ):
        if pattern[j] == text[i]:
            if j == (len(__UpperCAmelCase   ) - 1):
                return True
            j += 1

        # if this is a prefix in our pattern
        # just go back far enough to continue
        elif j > 0:
            UpperCamelCase__							:       Optional[int]      =   failure[j - 1]
            continue
        i += 1
    return False




def 	lowerCAmelCase_					(						__UpperCAmelCase:    str   )   ->			list[int]:
    UpperCamelCase__							:       Union[str, Any]      =   [0]
    UpperCamelCase__							:       Tuple      =   0
    UpperCamelCase__							:       Tuple      =   1
    while j < len(__UpperCAmelCase   ):
        if pattern[i] == pattern[j]:
            i += 1
        elif i > 0:
            UpperCamelCase__							:       str      =   failure[i - 1]
            continue
        j += 1
        failure.append(__UpperCAmelCase   )
    return failure


if __name__ == "__main__":
  # Test 1)
  UpperCAmelCase_  							=				'abc1abc12'
  UpperCAmelCase_  							=				'alskfjaldsabc1abc1abc12k23adsfabcabc'
  UpperCAmelCase_  							=				'alskfjaldsk23adsfabcabc'
  assert kmp(pattern, texta) and not kmp(pattern, texta)

  # Test 2)
  UpperCAmelCase_  							=				'ABABX'
  UpperCAmelCase_  							=				'ABABZABABYABABX'
  assert kmp(pattern, text)

  # Test 3)
  UpperCAmelCase_  							=				'AAAB'
  UpperCAmelCase_  							=				'ABAAAAAB'
  assert kmp(pattern, text)

  # Test 4)
  UpperCAmelCase_  							=				'abcdabcy'
  UpperCAmelCase_  							=				'abcxabcdabxabcdabcdabcy'
  assert kmp(pattern, text)

  # Test 5)
  UpperCAmelCase_  							=				'aabaabaaa'
  assert get_failure_array(pattern) == [0, 1, 0, 1, 2, 3, 4, 5, 2]

