




from __future__ import annotations

from collections import Counter
from random import random




class 						__lowercase		:




      """simple docstring"""





      def __init__(				self     )		->    str:
         snake_case				:    Optional[Any]           =	{}




      def      UpperCAmelCase				(				self    ,				A     )		->    None:
         snake_case				:    int           =	{}




      def      UpperCAmelCase				(				self    ,				A    ,				A    ,				A     )		->    None:
         if nodea not in self.connections:
            self.add_node(A     )
         if nodea not in self.connections:
            self.add_node(A     )
         snake_case				:    Tuple           =	probability




      def      UpperCAmelCase				(				self     )		->    list[str]:
         return list(self.connections     )




      def      UpperCAmelCase				(				self    ,				A     )		->    str:
         snake_case				:    List[Any]           =	0
         snake_case				:    Union[str, Any]           =	random()

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




def 						SCREAMING_SNAKE_CASE__ (   lowercase						,lowercase						,lowercase					)  ->       dict[str, int]:
   snake_case				:    str           =	MarkovChainGraphUndirectedUnweighted()

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

   snake_case				:    Any           =	Counter(graph.get_nodes()					)
   snake_case				:    List[str]           =	start

   for _ in range(lowercase					):
      snake_case				:    List[Any]           =	graph.transition(lowercase					)
      visited[node] += 1

   return visited


if __name__ == "__main__":
       import doctest

       doctest.testmod()











import functools




def 						SCREAMING_SNAKE_CASE__ (   lowercase						,lowercase					)  ->       int:

   # Validation
   if not isinstance(lowercase						,lowercase					) or not all(isinstance(lowercase						,lowercase					) for day in days					):
      raise ValueError("""The parameter days should be a list of integers"""					)

   if len(lowercase					) != 3 or not all(isinstance(lowercase						,lowercase					) for cost in costs					):
      raise ValueError("""The parameter costs should be a list of three integers"""					)

   if len(lowercase					) == 0:
      return 0

   if min(lowercase					) <= 0:
      raise ValueError("""All days elements should be greater than 0"""					)

   if max(lowercase					) >= 366:
      raise ValueError("""All days elements should be less than 366"""					)

   snake_case				:    List[str]           =	set(lowercase					)

   @functools.cache
   def dynamic_programming(lowercase					) -> int:
      if index > 365:
         return 0

      if index not in days_set:
         return dynamic_programming(index + 1					)

      return min(
          costs[0] + dynamic_programming(index + 1					)						,costs[1] + dynamic_programming(index + 7					)						,costs[2] + dynamic_programming(index + 30					)						,)

   return dynamic_programming(1					)


if __name__ == "__main__":
       import doctest

       doctest.testmod()





