August 2017
Intermediate to advanced
360 pages
8h 35m
Chinese
Content preview from 算法技术手册（原书第2 版）
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排序算法
｜
63
排序算法
堆排序算法小结
最好情况、最坏情况和平均情况：
O
(
n
log
n
)
sort (A)
buildHeap (A)
for i = n-1 downto 1 do
swap A[0] with A[i]
heapify (A, 0, i)
end
buildHeap (A)
for i = n/2-1 downto 0 do
heapify (A, i, n)
end
#
递归执行以确保
A[idx, max)
是合法堆
heapify (A, idx, max)
largest = idx
❶
left=2*idx+1
right = 2*idx + 2
if left < max and A[left] > A[idx] then
largest = left
❷
if right < max and A[right] > A[largest] then
largest = right
❸
if largest =? idx then
swap A[idx] and A[largest]
heapify (A, largest, max)
end
❶
假设
A[idx]
的父结点要大于等于其子结点中的任意一个。
❷
左子结点大于父结点。
❸
右子结点大于父结点或者左兄弟结点。
图
4-4
展示了在具有
6
个元素的数组上执行
buildHeap
的过程。
堆就是一棵二叉树，它的结构具备以下两个性质：
外形性质
当且仅当深度
k
－
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I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.