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堆和堆排序

堆有两种: max-heap 和 min-heap. Max-heap 一般用来排序,Min-heap 用来实现 priority queue.

max-heap的定义是:for each i: A[parent(i)] >= A[i]

min-heap: for each i: A[parent(i)] <= A[i]

无论要实现哪种,都会用到 Left(i), Right(i), Parent(i).

Heap-sort() 要用到的操作有:

Build-max-heap(): build a heap from an unsorted array

Max-heapify(): maintain the max-heap property 

 

Priority queue 支持的操作有:

max-priority queue:

min-priority queue 支持的操作有:insert(), minimum(), extract-min(), decrease-key()