

'''simple docstring'''
import heapq


def       a__    (  _SCREAMING_SNAKE_CASE					:    Optional[int]     ,							_SCREAMING_SNAKE_CASE					:    Any     ,							_SCREAMING_SNAKE_CASE					:    List[str]							)			-> Union[str, Any]:


	"""simple docstring"""





	UpperCAmelCase_			:	Optional[Any]      =   [(0, start)]  # cost from start node,end node
	UpperCAmelCase_			:	Any      =   set()
	while heap:
		((UpperCAmelCase_) , (UpperCAmelCase_))			:	Optional[int]      =   heapq.heappop(_SCREAMING_SNAKE_CASE							)
		if u in visited:
			continue
		visited.add(_SCREAMING_SNAKE_CASE							)
		if u == end:
			return cost
		for v, c in graph[u]:
			if v in visited:
				continue
			UpperCAmelCase_			:	Optional[Any]      =   cost + c
			heapq.heappush(_SCREAMING_SNAKE_CASE     ,							(next_item, v)							)
	return -1


_lowerCamelCase	 =			{
    """A""": [["""B""", 2], ["""C""", 5]],
    """B""": [["""A""", 2], ["""D""", 3], ["""E""", 1], ["""F""", 1]],
    """C""": [["""A""", 5], ["""F""", 3]],
    """D""": [["""B""", 3]],
    """E""": [["""B""", 4], ["""F""", 3]],
    """F""": [["""C""", 3], ["""E""", 3]],
}
_lowerCamelCase	 =			{
    """B""": [["""C""", 1]],
    """C""": [["""D""", 1]],
    """D""": [["""F""", 1]],
    """E""": [["""B""", 1], ["""F""", 3]],
    """F""": [],
}
_lowerCamelCase	 =			{
    """B""": [["""C""", 1]],
    """C""": [["""D""", 1]],
    """D""": [["""F""", 1]],
    """E""": [["""B""", 1], ["""G""", 2]],
    """F""": [],
    """G""": [["""F""", 1]],
}

_lowerCamelCase	 =			dijkstra(G, """E""", """C""")
print(short_distance)  # E -- 3 --> F -- 3 --> C == 6

_lowerCamelCase	 =			dijkstra(Ga, """E""", """F""")
print(short_distance)  # E -- 3 --> F == 3

_lowerCamelCase	 =			dijkstra(Ga, """E""", """F""")
print(short_distance)  # E -- 2 --> G -- 1 --> F == 3

if __name__ == "__main__":
					import doctest

					doctest.testmod()







'''simple docstring'''
from __future__ import annotations

import re


def       a__    (  _SCREAMING_SNAKE_CASE					:    list[str]							)			-> list[str]:


	"""simple docstring"""





	def alphanum_key(_SCREAMING_SNAKE_CASE					:    Optional[Any]							):
		return [int(_SCREAMING_SNAKE_CASE							) if s.isdigit() else s.lower() for s in re.split("([0-9]+)"     ,							_SCREAMING_SNAKE_CASE							)]

	return sorted(_SCREAMING_SNAKE_CASE     ,							key=_SCREAMING_SNAKE_CASE							)


if __name__ == "__main__":
					import doctest

					doctest.testmod()




