2004 goodrich tamassia quick sort 5 execution example

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© 2004 Goodrich, Tamassia Quick-Sort 5 Execution Example Pivot selection 7 2 9 4 2 4 7 9 2 2 7 2 9 4 3 7 6 1 1 2 3 4 6 7 8 9 3 8 6 1 1 3 8 6 3 3 8 8 9 4 4 9 9 9 4 4
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© 2004 Goodrich, Tamassia Quick-Sort 6 Execution Example (cont.) Partition, recursive call, pivot selection 2 4 3 1 2 4 7 9 9 4 4 9 9 9 4 4 7 2 9 4 3 7 6 1 1 2 3 4 6 7 8 9 3 8 6 1 1 3 8 6 3 3 8 8 2 2
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© 2004 Goodrich, Tamassia Quick-Sort 7 Execution Example (cont.) Partition, recursive call, base case 2 4 3 1  2 4 7 1 1 9 4 4 9 9 9 4 4 7 2 9 4 3 7 6 1 1 2 3 4 6 7 8 9 3 8 6 1 1 3 8 6 3 3 8 8
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© 2004 Goodrich, Tamassia Quick-Sort 8 Execution Example (cont.) Recursive call, …, base case, join 3 8 6 1 1 3 8 6 3 3 8 8 7 2 9 4 3 7 6 1 1 2 3 4 6 7 8 9 2 4 3 1 1 2 3 4 1 1 4 3 3 4 9 9 4 4
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© 2004 Goodrich, Tamassia Quick-Sort 9 Execution Example (cont.) Recursive call, pivot selection 7 9 7 1 1 3 8 6 8 8 7 2 9 4 3 7 6 1 1 2 3 4 6 7 8 9 2 4 3 1 1 2 3 4 1 1 4 3 3 4 9 9 4 4 9 9
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© 2004 Goodrich, Tamassia Quick-Sort 10 Execution Example (cont.) Partition, …, recursive call, base case 7 9 7 1 1 3 8 6 8 8 7 2 9 4 3 7 6 1 1 2 3 4 6 7 8 9 2 4 3 1 1 2 3 4 1 1 4 3 3 4 9 9 4 4 9 9
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© 2004 Goodrich, Tamassia Quick-Sort 11 Execution Example (cont.) Join, join 7 9 7 1 7 7 9 8 8 7 2 9 4 3 7 6 1 1 2 3 4 6 7 7 9 2 4 3 1 1 2 3 4 1 1 4 3 3 4 9 9 4 4 9 9
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© 2004 Goodrich, Tamassia Quick-Sort 12 Worst-case Running Time The worst case for quick-sort occurs when the pivot is the unique minimum or maximum element One of L and G has size n -
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