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1. Suppose that we arrange all directed paths from node s to node t in nondecreasing order of their lengths, breaking ties arbitrarily. The kth shortes(path problem is to identify a path that can be at the kth place in this order. Describe an algorithm to find the kth shortest path for k = 2. (Hint: The second shortest path must differ from the first shortest path by at least one arc.)
2. Suppose that every directed cycle in a graph G has a positive length. Show that a shortest directed walk from node s to node t is always a path. Construct an example for which the first shortest directed walk is a path, but the second shortest directed walk is not a path.
Write a for loop that prints the values 1 2 4 8 16 32 64 by increasing the value of a counting variable by a factor of two in each cycle.
. Design a dynamic programming algorithm for the version of the knapsack problem in which there are unlimited quantities of copies for each of the n item kinds given. Indicate the time efficiency of the algorithm.
Write a program to simulate the operation of a simple robot . the robot moves in fourdirections :forward , right , left. the job of the robot is to move items and place it in the right slots in each station. there are 8 stations plus the pick up stat..
Developing a graphical user interface in programming is paramount to being successful in the business industry. This project incorporates GUI techniques with other tools that you have learned about in this class.
Discuss how the complexity of performing operations on arrays goes up when moving from one-dimensional to (square) two-dimensional arrays (linear to quadratic complexity).
Create a Windows application to determine how many months
The median of three numbers is the middle number after the three numbers have been arranged in increasing order. Write a function template that finds the median of three values.
You are tasked with designing and prototyping a network for example.com, a national electronics retailer. Example.com currently has four regional stores (Nth, Sth, Eas, Wes) but has plans to expand as finances and their customer base permits.
Matthew was fired from his job during the recession. This is an example of
What is the relation of bearing pressure on soil nail head to the ratio La/Lb, where La is the length of soil nail before the potential slip circle while Lb is the length of soil nail beyond the potential slip circle?
Derive the linear interpolant through the two data points (1.0,2.0) and (1.1,2.5). Derive also the quadratic interpolant through these two pairs as well as (1.2,1.5). Show that the situation can be depicted as in Figure 10.11.
Using the Web (or past issues of computer industry magazines, such asComputerworld), locate a system that runs in a server-based environment. On the basis of your reading, why do you think the company chose that computing environment?
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