# Leetcode: Find Median from Data Stream

Find Median from Data Stream

Similar Problems:

Median is the middle value in an ordered integer list. If the size of the list is even, there is no middle value. So the median is the mean of the two middle value.

Examples:

```[2,3,4] , the median is 3

[2,3], the median is (2 + 3) / 2 = 2.5
```

Design a data structure that supports the following two operations:

void addNum(int num) – Add a integer number from the data stream to the data structure.
double findMedian() – Return the median of all elements so far.
For example:

```addNum(1)
findMedian() -> 1.5
findMedian() -> 2
```

Github: code.dennyzhang.com

Credits To: leetcode.com

Leave me comments, if you have better ways to solve.

```## Blog link: https://code.dennyzhang.com/find-median-from-data-stream
## Basic Ideas: Use 2 heaps:
##      maxheap for the first half, minheap for the second half
##
##  Notice: When taking new values, we can't appeneding them directly.
##          It will not be an ordred integer list then.
##          What if we have duplicate values
##
## Complexity: Time O(log(n)), Space O(n)
import heapq
class MedianFinder:

def __init__(self):
"""
"""
self.left_q, self.right_q = [], []
heapq.heapify(self.left_q)
heapq.heapify(self.right_q)

"""
:type num: int
:rtype: void
"""
if len(self.left_q) == 0:
heapq.heappush(self.left_q, -num)
return

if num <= -self.left_q[0]:
# should insert to left
heapq.heappush(self.left_q, -num)
# rebalancing
if len(self.left_q) > len(self.right_q)+1:
element = -heapq.heappop(self.left_q)
heapq.heappush(self.right_q, element)
else:
heapq.heappush(self.right_q, num)
# rebalancing
if len(self.right_q) > len(self.left_q):
new_element = -heapq.heappop(self.right_q)
heapq.heappush(self.left_q, new_element)

def findMedian(self):
"""
:rtype: float
"""
if len(self.left_q) == 0: return None
if (len(self.left_q) == len(self.right_q)):
return (-self.left_q[0] + self.right_q[0])/2
else:
return float(-self.left_q[0])

# Your MedianFinder object will be instantiated and called as such:
# obj = MedianFinder()