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Median Data Stream

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Implement a class that can find the median of a stream of numbers. The following methods should exist on the class:

void addNum(int num) adds the integer num from the data stream to the data structure.

double findMedian() returns the median of all elements so far. Answers within 10-5 of the actual answer will be accepted.

from heapq import *

class MedianFinder:
    def __init__(self):
        self.small = []  # the smaller half of the list, max heap (invert min-heap)
        self.large = []  # the larger half of the list, min heap

    def addNum(self, num):
        if len(self.small) == len(self.large):
            heappush(self.large, -heappushpop(self.small, -num))
        else:
            heappush(self.small, -heappushpop(self.large, num))

    def findMedian(self):
        if len(self.small) == len(self.large):
            return float(self.large[0] - self.small[0]) / 2.0
        else:
            return float(self.large[0])

Posted by Jamie Meyer 3 months ago

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