import heapq
class PriorityQueue(dict):
def __init__(self, _, f):
self.f = f
self.heap = []
def __delitem__(self, item):
super(PriorityQueue, self).__delitem__(item)
del self.heap[self.heap.index(item)]
heapq.heapify(self.heap)
def pop(self):
_, smallest = heapq.heappop(self.heap)
super(PriorityQueue, self).__delitem__(smallest)
return smallest
def append(self, item):
self[item]=item
heapq.heappush(self.heap, (self.f(item), item))