built-in max heap API in Python

Lin Ma picture Lin Ma · Oct 8, 2015 · Viewed 15.9k times · Source

Default heapq is min queue implementation and wondering if there is an option for max queue? Thanks.

I tried the solution using _heapify_max for max heap, but how to handle dynamically push/pop element? It seems _heapify_max could only be used during initialization time.

import heapq

def heapsort(iterable):
    h = []
    for value in iterable:
        heapq.heappush(h, value)
    return [heapq.heappop(h) for i in range(len(h))]

if __name__ == "__main__":

    print heapsort([1, 3, 5, 7, 9, 2, 4, 6, 8, 0])

Edit, tried _heapify_max seems not working for dynamically push/pop elements. I tried both methods output the same, both output is, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9].

def heapsort(iterable):
    h = []
    for value in iterable:
        heapq.heappush(h, value)
    return [heapq.heappop(h) for i in range(len(h))]

def heapsort2(iterable):
    h = []
    heapq._heapify_max(h)
    for value in iterable:
        heapq.heappush(h, value)
    return [heapq.heappop(h) for i in range(len(h))]

if __name__ == "__main__":

    print heapsort([1, 3, 5, 7, 9, 2, 4, 6, 8, 0])
    print heapsort2([1, 3, 5, 7, 9, 2, 4, 6, 8, 0])

Thanks in advance, Lin

Answer

U2EF1 picture U2EF1 · Oct 11, 2015

In the past I have simply used sortedcontainers's SortedList for this, as:

> a = SortedList()
> a.add(3)
> a.add(2)
> a.add(1)
> a.pop()
3

It's not a heap, but it's fast and works directly as required.

If you absolutely need it to be a heap, you could make a general negation class to hold your items.

class Neg():
    def __init__(self, x):
        self.x = x

    def __cmp__(self, other):
        return -cmp(self.x, other.x)

def maxheappush(heap, item):
    heapq.heappush(heap, Neg(item))

def maxheappop(heap):
    return heapq.heappop(heap).x

But that will be using a little more memory.