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For each of the following two statements, decide whether it is true or false. If true, give a short explanation. If false provide a counterexample.
a) Suppose we are given an instance of the Minimum Spanning Tree Problem on a graph G, with edge costs that are all positive and distinct. Let T be a minimum spanning tree for this instance. Now, suppose we replace each edge cost Ce by its square, Ce^2, thereby creating a new instance of the problem with the same graph but different costs.
True or false? T must still be a minimum spanning tree for this new instance.
b) Suppose we are given an instance of the Shortest s-t Path problem on a directed graph G. We assume that all edge costs are positive and distinct. Let P be a minimum cost s-t path for this instance. Now suppose we replace each edge cost Ce with its square, Ce^2, thereby creating a new instance of the problem with the same graph but different costs.
True or false? P must still be a minimum cost s-t path for this new instance. "
Use the example to illustrate how RSA algorithm works. Deciper following ciphertext, that was enciphered using Caesar cipher.
Create a worksheet using excel having different columns depicting the Serial Number, Name of the Student, Marks obtained in various subjects i.e. English, Maths, and Science.
Was regulation alternative to competition in early years of telephone industry?
Compare the accuracies obtained using the three "test options": "Use training set", "cross-validation" and "percentage split".
Many people have strong negative reactions to pop-up, pop-behind, interstitial, and rich media ads. Assume you are the director of an advertising agency that specializes in creating and placing these ads.
Conduct the observation to someone involved in procedure which is used in the business or organization. This person could be someone at university.
Design a robot that can perform any function or activity you choose from an automatic laundry robot to a customer service robot.
System has 4 processes and 5 allocatable resources. The current allocation and maximum needs are as follows: Determine the smallest value of x for which this safe state.
How does TV production use technology. Is there a basic difference between TV production vis-a-vis film and theatre production?
What are some methods that we can guarantee that majority of target audience can play applications?
When it comes to use of information technologies, it is frequently difficult to find out how to act ethically. Consider some of your own use of information technologies.
What bit patterns will be in registers 0, 1, and 2 when the machine halts? What bit pattern will be in the memory cell at address 30 when the machine halts?
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