Chapter 6:Heapsort.

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Presentation transcript:

Chapter 6:Heapsort

Heapsort

Heapsort

Heapsort

Heapsort

Heapsort

Heapsort Time O(lg n) Intuitive Analysis Heap is almost-complete binary tree, hence must process O(lg n) levels, with constant work at each level (comparing 3 items and maybe swapping 2). For more formal analysis see your book using recurrence and Master method.

Build-Max-Heap See next page for detail.

Build-Max-Heap The Operation of BUILD_MAX_HEAP

Build-Max-Heap

Build-Max-Heap

Heapsort

Heapsort

Heapsort Example

Heapsort

Priority Queues

Priority Queues

Priority Queues

Priority Queues

Priority Queues

Priority Queues

Heap-Increase-key Example

Priority Queues