





'''simple docstring'''


from __future__ import annotations

import math
from collections import Counter
from string import ascii_lowercase
def 							UpperCAmelCase_  (						__lowerCamelCase					:					str ):
   lowercase_			,							lowercase_			:Optional[Any]    			= analyze_text(__lowerCamelCase )
   lowercase_			:Tuple    			= list(" " + ascii_lowercase )
   # what is our total sum of probabilities.
   lowercase_			:Dict    			= sum(single_char_strings.values() )

   # one length string
   lowercase_			: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_			:Union[str, Any]    			= my_str / all_sum
         my_fir_sum += prob * math.loga(__lowerCamelCase )  # entropy formula.

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

   # two len string
   lowercase_			:Dict    			= 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_			:List[Any]    			= cha + cha
         if sequence in two_char_strings:
            lowercase_			:int    			= two_char_strings[sequence]
            lowercase_			:List[str]    			= int(__lowerCamelCase ) / all_sum
            my_sec_sum += prob * math.loga(__lowerCamelCase )

    # 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_  (						__lowerCamelCase					:					str ):
   lowercase_			:List[Any]    			= Counter()  # type: ignore
   lowercase_			: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(__lowerCamelCase ) - 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'''


lowerCAmelCase					:     Optional[int]												=256
# Modulus to hash a string
lowerCAmelCase					:     Tuple												=1_000_003
def 							UpperCAmelCase_  (						__lowerCamelCase					:					str	,__lowerCamelCase					:					str ):
   lowercase_			:Dict    			= len(__lowerCamelCase )
   lowercase_			:int    			= len(__lowerCamelCase )
   if p_len > t_len:
      return False

   lowercase_			:Any    			= 0
   lowercase_			:Dict    			= 0
   lowercase_			:int    			= 1

   # Calculating the hash of pattern and substring of text
   for i in range(__lowerCamelCase ):
      lowercase_			:Union[str, Any]    			= (ord(pattern[i] ) + p_hash * alphabet_size) % modulus
      lowercase_			:Tuple    			= (ord(text[i] ) + text_hash * alphabet_size) % modulus
      if i == p_len - 1:
         continue
      lowercase_			:Tuple    			= (modulus_power * alphabet_size) % modulus

   for i in range(0	,t_len - p_len + 1 ):
      if text_hash == p_hash and text[i : i + p_len] == pattern:
         return True
      if i == t_len - p_len:
         continue
      # Calculate the https://en.wikipedia.org/wiki/Rolling_hash
      lowercase_			:Tuple    			= (
          (text_hash - ord(text[i] ) * modulus_power) * alphabet_size
          + ord(text[i + p_len] )
      ) % modulus
   return False
def 							UpperCAmelCase_  (						):
   lowercase_			:List[Any]    			= "abc1abc12"
   lowercase_			:List[str]    			= "alskfjaldsabc1abc1abc12k23adsfabcabc"
   lowercase_			:int    			= "alskfjaldsk23adsfabcabc"
   assert rabin_karp(__lowerCamelCase	,__lowerCamelCase ) and not rabin_karp(__lowerCamelCase	,__lowerCamelCase )

   # Test 2)
   lowercase_			:Union[str, Any]    			= "ABABX"
   lowercase_			:Optional[Any]    			= "ABABZABABYABABX"
   assert rabin_karp(__lowerCamelCase	,__lowerCamelCase )

   # Test 3)
   lowercase_			:Dict    			= "AAAB"
   lowercase_			:int    			= "ABAAAAAB"
   assert rabin_karp(__lowerCamelCase	,__lowerCamelCase )

   # Test 4)
   lowercase_			:Tuple    			= "abcdabcy"
   lowercase_			:Union[str, Any]    			= "abcxabcdabxabcdabcdabcy"
   assert rabin_karp(__lowerCamelCase	,__lowerCamelCase )

   # Test 5)
   lowercase_			:Tuple    			= "Lü"
   lowercase_			:List[Any]    			= "Lüsai"
   assert rabin_karp(__lowerCamelCase	,__lowerCamelCase )
   lowercase_			:str    			= "Lue"
   assert not rabin_karp(__lowerCamelCase	,__lowerCamelCase )
   print("Success." )


if __name__ == "__main__":
 test_rabin_karp()


