# Algorithm Questions

Hello Freelancers,

I simply need help answering these Algorithm questions (Will also be attached):

#1. Catenable Stack

public catenate(Stack s); // appends the contents of Stack s to the current stack

The new operation will have the following properties:

Let n = [url removed, login to view](), m = [url removed, login to view](). Then executing [url removed, login to view](s2) results in the following:

1. The new size of s1 is the sum of the size of s2 and the original size of s1, i.e., the following evaluates to true: [url removed, login to view]() == n+m

[url removed, login to view] n elements of s1 after the call [url removed, login to view](s2) are the same as the elements of s1 before the call. The bottom m elements of s1 after the call [url removed, login to view](s2) are the same as the elements of s2 before the call.

(a) The implementation described in the book, lecture notes and screencasts uses an array to implement Stack ADT. Can you implement catenate(Stack s) operation that runs in O(1) time for such implementation? If yes, write down the algorithm that achieves that and prove that it runs in O(1) time. If not, describe what goes wrong.

(b) Write down algorithms that implement the original Stack ADT using a singly-linked list instead of the array. That is, write down pseudocode for implementing each operation of Stack ADT: Stack(), push(Object o), pop(), size(), isEmpty(), top().

(c) Design an algorithm that implements catenate(Stack s) operation in O(1) time. Write down the algorithm and prove that it runs in O(1) time.

Thank you,

Daniel

Fähigkeiten: Algorithmen, Ingenieurwesen, Java, Mathematik, SQL

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Projekt-ID: #8350269

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