
def 						__magic_name__			(   __a      :	str	,		__a      :	str						):



     '''simple docstring'''




     UpperCamelCase__				=    len(__a						) + 1
     UpperCamelCase__				=    len(__a						) + 1

     # dp is a 2d matrix where dp[i][j] denotes whether prefix string of
     # length i of input_string matches with prefix string of length j of
     # given pattern.
     # "dp" stands for dynamic programming.
     UpperCamelCase__				=    [[0 for i in range(__a						)] for j in range(__a						)]

     # since string of zero length match pattern of zero length
     UpperCamelCase__				=    1

     # since pattern of zero length will never match with string of non-zero length
     for i in range(1	,		__a						):
          UpperCamelCase__				=    0

     # since string of zero length will match with pattern where there
     # is at least one * alternatively
     for j in range(1	,		__a						):
          UpperCamelCase__				=    dp[0][j - 2] if pattern[j - 1] == """*""" else 0

     # now using bottom-up approach to find for all remaining lengths
     for i in range(1	,		__a						):
          for j in range(1	,		__a						):
               if input_string[i - 1] == pattern[j - 1] or pattern[j - 1] == ".":
                    UpperCamelCase__				=    dp[i - 1][j - 1]

               elif pattern[j - 1] == "*":
                    if dp[i][j - 2] == 1:
                         UpperCamelCase__				=    1
                    elif pattern[j - 2] in (input_string[i - 1], "."):
                         UpperCamelCase__				=    dp[i - 1][j]
                    else:
                         UpperCamelCase__				=    0
               else:
                    UpperCamelCase__				=    0

     return bool(dp[-1][-1]						)


if __name__ == "__main__":
    import doctest

    doctest.testmod()
    # inputing the strings
    # input_string = input("input a string :")
    # pattern = input("input a pattern :")

    lowerCamelCase_						     =					'''aab'''
    lowerCamelCase_						     =					'''c*a*b'''

    # using function to check whether given string matches the given pattern
    if match_pattern(input_string, pattern):
        print(f'{input_string} matches the given pattern {pattern}')
    else:
        print(f'{input_string} does not match with the given pattern {pattern}')







from __future__ import annotations

from collections import Counter
from random import random




class      __A:

  """simple docstring"""







  def __init__(self						):
       UpperCamelCase__				=    {}







  def 	UpperCAmelCase_ (self	,      SCREAMING_SNAKE_CASE_						):
       UpperCamelCase__				=    {}







  def 	UpperCAmelCase_ (self	,      SCREAMING_SNAKE_CASE_	,      SCREAMING_SNAKE_CASE_	,      SCREAMING_SNAKE_CASE_						):
       if nodea not in self.connections:
            self.add_node(SCREAMING_SNAKE_CASE_						)
       if nodea not in self.connections:
            self.add_node(SCREAMING_SNAKE_CASE_						)
       UpperCamelCase__				=    probability







  def 	UpperCAmelCase_ (self						):
       return list(self.connections						)







  def 	UpperCAmelCase_ (self	,      SCREAMING_SNAKE_CASE_						):
       UpperCamelCase__				=    0
       UpperCamelCase__				=    random()

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






def 						__magic_name__			(   __a      :	str	,		__a      :	list[tuple[str, str, float]]	,		__a      :	int						):



     '''simple docstring'''




     UpperCamelCase__				=    MarkovChainGraphUndirectedUnweighted()

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

     UpperCamelCase__				=    Counter(graph.get_nodes()						)
     UpperCamelCase__				=    start

     for _ in range(__a						):
          UpperCamelCase__				=    graph.transition(__a						)
          visited[node] += 1

     return visited


if __name__ == "__main__":
    import doctest

    doctest.testmod()





