Sort and Tree 2014 Spring CS32 Discussion Jungseock Joo.

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Presentation transcript:

Sort and Tree 2014 Spring CS32 Discussion Jungseock Joo

- From wikipedia.com Selection Sort

Bubble Sort

Merge Sort

Quicksort

Time Complexity Divide-and-conquer : O(n log 2 n) Otherwise, O(n 2 )

When use what? In practice – std::sort(); – If n is small, you may choose simpler ones. Considerations – Worst-case performance? – Already sorted? Partially-already sorted? Reversed order? – # of comparisons vs. # of swap/shift

Binary Search Tree Find 7?

Binary Search Tree Find 7? – O(log n) Depth of tree ~ log n If balanced.

Binary Search Tree But, O(n) in unbalanced BSTs – Depth >> log n Depth of tree ~ n If unbalanced.

Code example

Sum of items?

Tree Traversal