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Data Structures and Algorithms Qs & As

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Data Structures and Algorithms A linked-list implementation of a stack guarantees constant time performance but requires more space than an array implementation. - Answer- TRUE Both implementations of pop and push guarantee constant time performance. Linked lists require additional memory (spac...

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  • August 18, 2024
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  • Data Structures and Algorithms
  • Data Structures and Algorithms
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Data Structures and Algorithms
A linked-list implementation of a stack guarantees constant time performance but
requires more space than an array implementation. - Answer- TRUE
Both implementations of pop and push guarantee constant time performance. Linked
lists require additional memory (space) for storing a reference to the next node.

An algorithm that uses 12n2 + 4n log n operations is a ∼n2 algorithm. - Answer-
FALSE
It is a ∼ 12n2 algorithm.

Big-Oh notation is more precise than tilde notation at describing the growth of a
function. - Answer- FALSE
Big-Oh notation only provides an upper bound on the growth rate of a function. Tilde
approximation approaches the original function as N grows.

When implementing the Comparable interface, you should make sure that your
implementation of the compareTo() method specifies a total order over the objects. -
Answer- TRUE
When implementing the Comparable interface, you should make sure that your
implementation of the compareTo() method specifies a total order over the objects.

Mergesort - Answer- Stable and fast

Quicksort - Answer- Fast general-purpose sort

Shellsort - Answer- Not analyzed

Insertion sort - Answer- Works well with order

Selection sort - Answer- Optimal data movement

3-way quicksort - Answer- Works well with duplicates

Heapsort - Answer- Optimal time and space

Height of a binary heap with N keys. - Answer- log N

A binary heap is a complete tree. A complete tree is a tree with n levels, where for
each level d ≤ n − 1, the number of existing nodes at level d is equal to 2d. The
height of a binary heap is logN.

Height of a BST with N keys. - Answer- N

In the worst-case, the height of a BST is N, e.g., when keys are inserted in
increasing or de- creasing order.

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