Sorry for such a silly question but Python docs are confusing.. .

Link 1: Queue Implementation http://docs.python.org/library/queue.html

It says thats Queue has a contruct for priority queue. But I could not find how to implement it.

class Queue.PriorityQueue(maxsize=0)

Link 2: Heap Implementation http://docs.python.org/library/heapq.html

Here they says that we can implement priority queues indirectly using heapq

pq = []                         # list of entries arranged in a heap
entry_finder = {}               # mapping of tasks to entries
REMOVED = '<removed-task>'      # placeholder for a removed task
counter = itertools.count()     # unique sequence count

def add_task(task, priority=0):
    'Add a new task or update the priority of an existing task'
    if task in entry_finder:
        remove_task(task)
    count = next(counter)
    entry = [priority, count, task]
    entry_finder[task] = entry
    heappush(pq, entry)

def remove_task(task):
    'Mark an existing task as REMOVED.  Raise KeyError if not found.'
    entry = entry_finder.pop(task)
    entry[-1] = REMOVED

def pop_task():
    'Remove and return the lowest priority task. Raise KeyError if empty.'
    while pq:
        priority, count, task = heappop(pq)
        if task is not REMOVED:
            del entry_finder[task]
            return task
    raise KeyError('pop from an empty priority queue'

Which is the most efficient priority queue implementation in python? And how to implement it?