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You are given a set U of n objects labeled p1, p2, . . . , pn. A distance function d(pi, pj) provides a numeric value measuring the "closeness" of two objects pi, pj, where 1 i, j n. You are asked to make use of this distance function to divide the n objects into k clusters, where k is a given parameter. You can think of a cluster as a subset of U, where objects in a cluster are "closer" to one another than to objects in another cluster. Propose an algorithm that divides the n objects of U into k clusters, making use of the MST of a graph. Provide a simple argument of correctness and a bound on the running time of the algorithm you are proposing.
Create algorithm to calculate union of two input sets given as arrays, both of size O(n). The output must be array of distinct elements that form union of the sets.
Give the two input nodes after the graph has been built from the command prompt.
Calculate the worst-case run-time complexity of your algorithm and prove optimality of the solution it gives. Suppose that the road is a straight line with a western end and an eastern end.
Write an algorithm but not code. Write a recursive version of the array-based linear search algorithm. Write a recursive version of the linked-list-based linear search algorithm."""
Communication A significant distinction between online and face-to-face classes lies in the area of communication.
If this message is encrypted with DES by using a random 56-bit key, determine encrypted message's entropy?
Given connected undirected graph G described by the adjacency list representation create the efficient algorithm to find the path in G which goes through exactly once in each direction.
Assume a flash storage device is used instead of disk, and it has seek time of 1 microsecond and transfer rate of 40 MB per second. Recompute the cost of sorting the relation in seconds.
You are working on the new computer game. One of implementation problems you are trying to solve is character pathfinding. What algorithms would be good to use and explain why?
Write the algorithm which will prompt for and accept four numbers, sort them into ascending sequence and display them to screen. Your algorithm is to include module called Order _two_numbers.
Expalin the search algorithm that results from each of the following special cases. How does it relate to other algorithms we have discussed.
Compare the average behavior of insertion sort for n elements with that of the n insertions into an initially-empty straight array implementation of a priority queue
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