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Chapter 15 Heaps
Chapter Objectives ,[object Object],[object Object],[object Object],[object Object]
Heaps ,[object Object],[object Object],[object Object],[object Object]
Heaps ,[object Object],[object Object],[object Object],[object Object]
FIGURE 15.1   The operations on a heap
Listing 15.1
FIGURE 15.2   UML description  of the HeapADT
The addElement Operation ,[object Object],[object Object]
The addElement Operation ,[object Object],[object Object],[object Object]
The addElement Operation ,[object Object],[object Object],[object Object]
FIGURE 15.3  Two minheaps containing the same data
FIGURE 15.4   Insertion points for a heap
FIGURE 15.5   Insertion and reordering in a heap
The removeMin Operation ,[object Object],[object Object],[object Object]
The removeMin Operation ,[object Object],[object Object]
FIGURE 15.6   Examples of the last leaf in a heap
The removeMin Operation ,[object Object],[object Object],[object Object]
FIGURE 15.7   Removal and reordering in a heap
Using Heaps:  Heap Sort ,[object Object],[object Object]
Using Heaps:  Heap Sort ,[object Object],[object Object],[object Object]
Using Heaps:  Heap Sort ,[object Object],[object Object]
Using Heaps:  Heap Sort ,[object Object],[object Object],[object Object]
Using Heaps:  Priority Queue ,[object Object],[object Object],[object Object],[object Object]
Using Heaps:  Priority Queue ,[object Object],[object Object],[object Object]
Using Heaps:  Priority Queue ,[object Object],[object Object],[object Object]
Listing 15.2
Listing 15.2  (cont.)
Listing 15.2  (cont.)
Listing 15.2  (cont.)
Listing 15.3
Listing 15.3  (cont.)
Listing 15.3  (cont.)
Implementing Heaps with Links ,[object Object],[object Object]
Listing 15.4
Implementing Heaps with Links ,[object Object],[object Object],[object Object],[object Object]
LinkedHeap - the addElement Operation
LinkedHeap - the addElement Operation
LinkedHeap - the addElement Operation ,[object Object],[object Object],[object Object]
LinkedHeap - the addElement Operation
LinkedHeap - the addElement Operation
LinkedHeap - the removeMin Operation ,[object Object],[object Object],[object Object],[object Object]
LinkedHeap - the removeMin Operation
LinkedHeap - the removeMin Operation
LinkedHeap - the removeMin Operation ,[object Object],[object Object],[object Object]
LinkedHeap - the removeMin Operation
LinkedHeap - the removeMin Operation
LinkedHeap - the removeMin Operation
Implementing Heaps with Arrays ,[object Object],[object Object],[object Object],[object Object]
Implementing Heaps with Arrays ,[object Object],[object Object],[object Object],[object Object],[object Object]
ArrayHeap - the addElement Operation
ArrayHeap - the addElement Operation
ArrayHeap - the removeMin Operation ,[object Object],[object Object],[object Object],[object Object],[object Object]
ArrayHeap - the removeMin Operation
ArrayHeap - the removeMin Operation
ArrayHeap - the removeMin Operation
Analysis of Heap Implementations ,[object Object],[object Object],[object Object]
Analysis of Heap Implementations ,[object Object],[object Object],[object Object]

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Ch15 Heap