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Given an array s =(s[1], s[2], . . . , s[n]), and n = 2^d for some d = 1. We want to find the minimum and maximum values in s. We do this by comparing elements of s.
(a) The "obvious" algorithm makes 2n - 2 comparisons. Explain.
(b) Can we do it better? Carefully specify a more efficient divide-and-conquer algorithm.
(c) Let T(n) = the number of comparisons your algorithm makes. Write a recurrencerelation for T(n).
(d) Show that your recurrence relation has as its solution T(n) = 3n/2 - 2.
If x = 5, y = 6, z = 4, and w = 3.5, evaluate each of the following statements, if possible. If it is not possible, state the reason.
Implement a function that generates all the possible N-node binary tree configurations. The value N is a parameter to the function and the function should return a list of binary tree. Any container ADT (list, queue, vector, etc...) will be used t..
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Design a BFS-based algorithm (pseudo code) for directed graph that computes the total number of paths from vertex srcU to vertex destV.
Design an O(n) algorithm that decides (schedules) for each node at which time slot to start sending data such that the total number of time (slots) is minimized.
can be substituted for. if (isalpha(c) && isdigit(c)) a) if... The following expression can be substituted for. if (isalpha(c) && isdigit(c)) a) if (isalnum(c)) b) if (isalphanum(c))
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Create a hierarchy chart depicting the chosen situation. Develop a flowchart and provide a brief explanation for it. Develop an algorithm and provide a brief explanation for it
Think about a disk holding documents with an average file length of 5 KB. Each document is allocated contiguously on adjacent sectors.
Write a program that implements Kruskal's algorithm
Your task is to show that breaking the scheme is approximately as difficult as a brute-force attack against single DES.
Illustrate how to use depth-first search to find out in time O(|E|+|V |) whether undirected graph is 2-colorable. Describe and explain your strategy.
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