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Heapsort
Heapsort ,[object Object],[object Object],[object Object],[object Object]
What is a heap ,[object Object],[object Object],[object Object],Left-justified Not left-justified 12 8 3 12 8 12 12 8 14
What is a heap ,[object Object],[object Object],[object Object],Left-justified Not left-justified 12 8 3 12 8 12 12 8 14 Heap
What is a heap ,[object Object],[object Object],[object Object],Left-justified Not left-justified 12 8 3 12 8 12 12 8 14 Heap Heap
What is a heap ,[object Object],[object Object],[object Object],Left-justified Not left-justified 12 8 3 12 8 12 12 8 14 Heap Heap Not a Heap
Skipping Several pages of Algorithm Description for this class
Insert The following values into a heap ,[object Object]
Insert The following values into a heap ,[object Object],8 Insert 8 at head of tree
Insert The following values into a heap ,[object Object],Insert Ten as child of 8. 8 10
Insert The following values into a heap ,[object Object],Insert Ten as child of 8. Then  Shift Up 8 10 10 8
Insert The following values into a heap ,[object Object],Insert 5 as child of root Tree fits the properties of a heap no addional steps are needs 10 8 5
Insert The following values into a heap ,[object Object],Insert 12 a the left most child. 10 8 5 12
Insert The following values into a heap ,[object Object],Shift up until heap the tree becomes a heap. 10 8 5 12 10 12 5 8 12 10 5 8

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