
"""simple docstring"""

from __future__ import annotations

from collections import deque
from queue import Queue
from timeit import timeit

SCREAMING_SNAKE_CASE_         =  {
    '''A''': ['''B''', '''C'''],
    '''B''': ['''A''', '''D''', '''E'''],
    '''C''': ['''A''', '''F'''],
    '''D''': ['''B'''],
    '''E''': ['''B''', '''F'''],
    '''F''': ['''C''', '''E'''],
}




def       lowercase__  (   lowerCAmelCase			:   dict	,			lowerCAmelCase			:   str	)	-> list[str]:






    """simple docstring"""




    UpperCAmelCase       =   {start}
    UpperCAmelCase       =   [start]
    UpperCAmelCase       =   Queue()
    queue.put(lowerCAmelCase	)
    while not queue.empty():
        UpperCAmelCase       =   queue.get()
        for w in graph[v]:
            if w not in explored:
                explored.add(lowerCAmelCase	)
                result.append(lowerCAmelCase	)
                queue.put(lowerCAmelCase	)
    return result




def       lowercase__  (   lowerCAmelCase			:   dict	,			lowerCAmelCase			:   str	)	-> list[str]:






    """simple docstring"""




    UpperCAmelCase       =   {start}
    UpperCAmelCase       =   [start]
    UpperCAmelCase       =   deque([start]	)
    while queue:
        UpperCAmelCase       =   queue.popleft()
        for child in graph[v]:
            if child not in visited:
                visited.add(lowerCAmelCase	)
                result.append(lowerCAmelCase	)
                queue.append(lowerCAmelCase	)
    return result




def       lowercase__  (   lowerCAmelCase			:   str	)	-> None:






    """simple docstring"""




    UpperCAmelCase       =   F"from __main__ import G, {name}"
    UpperCAmelCase       =   10_000
    UpperCAmelCase       =   timeit(F"{name}(G, 'A')"	,			setup=lowerCAmelCase	,			number=lowerCAmelCase	)
    print(F"{name:<35} finished {number} runs in {res:.5f} seconds"	)


if __name__ == "__main__":
   import doctest

   doctest.testmod()

   benchmark_function('''breadth_first_search''')
   benchmark_function('''breadth_first_search_with_deque''')
   # breadth_first_search                finished 10000 runs in 0.20999 seconds
   # breadth_first_search_with_deque     finished 10000 runs in 0.01421 seconds





"""simple docstring"""

import heapq




def       lowercase__  (   lowerCAmelCase			:   str	,			lowerCAmelCase			:   int	,			lowerCAmelCase			:   Optional[Any]	)	-> Union[str, Any]:






    """simple docstring"""




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


SCREAMING_SNAKE_CASE_         =  {
    '''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]],
}
SCREAMING_SNAKE_CASE_         =  {
    '''B''': [['''C''', 1]],
    '''C''': [['''D''', 1]],
    '''D''': [['''F''', 1]],
    '''E''': [['''B''', 1], ['''F''', 3]],
    '''F''': [],
}
SCREAMING_SNAKE_CASE_         =  {
    '''B''': [['''C''', 1]],
    '''C''': [['''D''', 1]],
    '''D''': [['''F''', 1]],
    '''E''': [['''B''', 1], ['''G''', 2]],
    '''F''': [],
    '''G''': [['''F''', 1]],
}

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

SCREAMING_SNAKE_CASE_         =  dijkstra(Ga, '''E''', '''F''')
print(short_distance)  # E -- 3 --> F == 3

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

if __name__ == "__main__":
   import doctest

   doctest.testmod()



