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1. Give an adjacency-list representation for a complete binary tree on 7 vertices. Give an equivalent adjacency - matrix representation. Assume that vertices are numbered from 1 to 7 as in a binary heap?
2. Is Minimum Spanning Tree for an Undirected connected graph unique, Justify your answer?
3. Modify the kruskal's algorithm using priority queue data structure?
b) There are two well known algorithm for finding minimum spanning trees. Point out the difference between Prim's algo and kruskal algo in term of construction in Minimum Spanning tree?
For a message, he computes the hash value H = (VChar 1 x VChar 2 x VChar 3 ...x VChar N) mod(26).
For inputs of size n, insertion sort runs in 8n 2 steps, where as merge sort runs in 64* nlog base 2 n steps. For which values of n odes insertion sort beat merge sort?
Data Structures and Algorithm Design
Your goal is to solve the following simple programming exercise. You have been asked by your accounting department to design an algorithm determining the annual profit for your company.
Determine the mean salary as well as the number of salaries.
Paws'n Tails is an online pet shop that wants to influence what customers buy and builkd effective customer relationships and loyalty.
You should build enough new roads such that if City A was reachable from City B via some old roads, City A must be reachable from City B via some new roads.
Write an algorithm in pseudo code to settle following question: A bank account starts out with $10,000. Interest is compounded monthly at 6% per year(0.5% per month).
Using "insertion sort" and then merged using standard merging mechanism, where k is value to be determined. How must be we select k in practice?
Write algorithm to settle following question: A bank account starts out with $10,000. Interest is compounded monthly at 6 percent per year (0.5 percent per month).
Consider a simple symmetric encryption algorithm as follows:Is it a problem if the first block of input happens to be the same as the key? Explain why?
Addition and Subtraction of numbers in binary and round to the nearest decimal number with three significant decimal digits
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