Description
Design a data structure to find the median from a data stream.
Constraints
- Time Complexity:
O(log n) - Space Complexity:
O(n)
Tags
two-pointersdesignsortingheapdata-stream
class MedianFinder:
def __init__(self):
self.small = []
self.large = []
def addNum(self, num: int) -> None:
if self.large and num > self.large[0]:
heapq.heappush(self.large, num)
else:
heapq.heappush(self.small, -1 * num)
if len(self.small) > len(self.large) + 1:
val = -1 * heapq.heappop(self.small)
heapq.heappush(self.large, val)
if len(self.large) > len(self.small) + 1:
val = heapq.heappop(self.large)
heapq.heappush(self.small, -1 * val)
def findMedian(self) -> float:
if len(self.small) > len(self.large):
return -1 * self.small[0]
if len(self.large) > len(self.small):
return self.large[0]
return (-1 * self.small[0] + self.large[0]) / 2