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Fundamentals of Vectors, Lists, and Sequences: Implementation and Algorithms

Learn about vectors' access via ranks, extendable array for vectors, list functions, and sequence operations like bubble sort and iterators. Apply advanced concepts such as rank and position transformations.

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Fundamentals of Vectors, Lists, and Sequences: Implementation and Algorithms

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  1. Vectors, Lists, Sequences

  2. Vectors • Linear sequence s of n elements e • rank – number of elements before e in s • Vector supports access to elements via their ranks • elemAtRank(r) • replaceAtRank(r, e) • insertAtRank(r, e) • removeAtRank(r) • size • isEmpty

  3. Vector Implementation • Extendable array implementation • when array is full, allocate new array of 2xs the size • copy elements into new array • Efficiency?

  4. Lists • Access/modify by “position” instead of rank • insertBefore(p, e) • insertAfter(p, e)

  5. Sequences • Supports functionality of vector and list • Additional functions • atRank(r) – returns position • rankOf(p) – returns rank

  6. Bubble Sort • Bubble sort • make n passes through a sequence and swap two elements if they are out of order (5 7 2 6 9 3)

  7. Bubble Sort on a Sequence • Algorithm

  8. Iterators • Step through a data structure one element at a time • hasNext() • Input: none Output: Boolean • next() • Input: none Output: Object

  9. Exercises • Give an adapter class to support the Stack interface using the functions of the vector ADT

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