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Contents for Algorithms and Data Structures notes

1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . 2
2 Sorting . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2
2.1 Insertion Sort . . . . . . . . . . . . . . . . . . . . . . . . . . 3
2.1.1 Some Basic Notation and Analysis of Insertion Sort . . . 4
2.2 Sorting using the Divide-and-Conquer Principle . . . . . . . 7
2.2.1 Merge Sort . . . . . . . . . . . . . . . . . . . . . . . . . . 7
2.2.2 Quicksort . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
2.3 A Lower Bound on the Performance of Sorting Algorithms 12
3 Select the k-th smallest element . . . . . . . . . . . . . . . 12
4 Binary Search . . . . . . . . . . . . . . . . . . . . . . . . . . 13
5 Elementary Data Structures . . . . . . . . . . . . . . . . . 14
5.1 Stacks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15
5.2 Linked Lists . . . . . . . . . . . . . . . . . . . . . . . . . . . 17
5.3 Graphs, Trees, and Binary Search Trees . . . . . . . . . . . 18
6 Advanced Programming . . . . . . . . . . . . . . . . . . . . 21
6.1 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21

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