'''simple docstring'''


from __future__ import annotations

from collections import Counter
from random import random






class 					__SCREAMING_SNAKE_CASE						:







  '''simple docstring'''






  def __init__(			self						):




       '''simple docstring'''

       UpperCAmelCase_							:       int       =				{}


  def _UpperCamelCase					(			self				,		snake_case_						):




       '''simple docstring'''

       UpperCAmelCase_							:       List[Any]       =				{}


  def _UpperCamelCase					(			self				,		snake_case_				,		snake_case_				,		snake_case_						):




       '''simple docstring'''

       if nodea not in self.connections:
            self.add_node(snake_case_						)
       if nodea not in self.connections:
            self.add_node(snake_case_						)
       UpperCAmelCase_							:       str       =				probability


  def _UpperCamelCase					(			self						):




       '''simple docstring'''

       return list(self.connections						)






  def _UpperCamelCase					(			self				,		snake_case_						):




       '''simple docstring'''

       UpperCAmelCase_							:       Union[str, Any]       =				0
       UpperCAmelCase_							:       Optional[Any]       =				random()

       for dest in self.connections[node]:
            current_probability += self.connections[node][dest]
            if current_probability > random_value:
                 return dest
       return ""







def  _lowerCamelCase   (				lowerCamelCase_ :							str     ,					lowerCamelCase_ :							list[tuple[str, str, float]]     ,					lowerCamelCase_ :							int       ):



     """simple docstring"""





     UpperCAmelCase_							:       Dict       =				MarkovChainGraphUndirectedUnweighted()

     for nodea, nodea, probability in transitions:
          graph.add_transition_probability(lowerCamelCase_     ,					lowerCamelCase_     ,					lowerCamelCase_       )

     UpperCAmelCase_							:       Any       =				Counter(graph.get_nodes()       )
     UpperCAmelCase_							:       Optional[int]       =				start

     for _ in range(lowerCamelCase_       ):
          UpperCAmelCase_							:       List[str]       =				graph.transition(lowerCamelCase_       )
          visited[node] += 1

     return visited


if __name__ == "__main__":
 import doctest

 doctest.testmod()







'''simple docstring'''


def  _lowerCamelCase   (				lowerCamelCase_ :							str       ):



     """simple docstring"""





     UpperCAmelCase_							:       Optional[int]       =				[0] * len(lowerCamelCase_       )

     for i in range(1     ,					len(lowerCamelCase_       )       ):
          # use last results for better performance - dynamic programming
          UpperCAmelCase_							:       List[Any]       =				prefix_result[i - 1]
          while j > 0 and input_string[i] != input_string[j]:
               UpperCAmelCase_							:       str       =				prefix_result[j - 1]

          if input_string[i] == input_string[j]:
               j += 1
          UpperCAmelCase_							:       Any       =				j

     return prefix_result


def  _lowerCamelCase   (				lowerCamelCase_ :							str       ):



     """simple docstring"""





     return max(prefix_function(lowerCamelCase_       )       )


if __name__ == "__main__":
 import doctest

 doctest.testmod()






