from __future__ import annotations

from collections import Counter
from random import random
class   _lowerCAmelCase		:







							def __init__(				self     :    Optional[int]		):
										lowerCamelCase						:str						  =     {}







							def 				snake_case  (				self     :    Dict	,					__snake_case     :    str		):
										lowerCamelCase						:Optional[int]						  =     {}







							def 				snake_case  (				self     :    Any	,					__snake_case     :    str	,					__snake_case     :    str	,					__snake_case     :    float		):






										if nodea not in self.connections:
													self.add_node(UpperCamelCase__		)
										if nodea not in self.connections:
													self.add_node(UpperCamelCase__		)
										lowerCamelCase						:List[str]						  =     probability







							def 				snake_case  (				self     :    Optional[Any]		):
										return list(self.connections		)







							def 				snake_case  (				self     :    Any	,					__snake_case     :    str		):
										lowerCamelCase						:Optional[Any]						  =     0
										lowerCamelCase						:List[Any]						  =     random()

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





def  _lowerCamelCase					(   a_				: Optional[int]						,			a_				: str						,			a_				: int):
			lowerCamelCase						:List[Any]						  =     MarkovChainGraphUndirectedUnweighted()

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

			lowerCamelCase						:Tuple						  =     Counter(graph.get_nodes())
			lowerCamelCase						:Any						  =     start

			for _ in range(A_):
						lowerCamelCase						:Any						  =     graph.transition(A_)
						visited[node] += 1

			return visited


if __name__ == "__main__":
			import doctest

			doctest.testmod()




def  _lowerCamelCase					(   a_				: int = 4_00_00_00):
			lowerCamelCase						:Dict						  =     [0, 1]
			lowerCamelCase						:Optional[Any]						  =     0
			while fib[i] <= n:
						fib.append(fib[i] + fib[i + 1])
						if fib[i + 2] > n:
									break
						i += 1
			lowerCamelCase						:Dict						  =     0
			for j in range(len(a_) - 1):
						if fib[j] % 2 == 0:
									total += fib[j]

			return total


if __name__ == "__main__":
			print(F'{solution() = }')



