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You are helping some security analysts monitor a collection of networked computers tracking the spread of an online virus. There are n computers in the system, labeled C1, C2,...,Cn and as input you are given a collection of trace data indicating the times at which pairs of computers communicated. Thus the data is a sequence of ordered triples (Ci,Cj,tk) such a triple indicates that Ci and Cj exchanged bits at time tk. There are triples total. We will assume that the triples are presented to you in sorted order of time.The security analysts you are working with would like to be able to answer questions of the following form: if the virus was inserted into computer Ca at time x could it possibly have infected computer Cb by time y? The mechanics of infection are simple: if an infected computer Cj exchanges bits with an uninfected computer at time tk (that is, if either of the triples (Ci,Cj,tk) or (Cj,Ci,tk) appears in the trace data) then Cj becomes infected as well, starting at time tk Infection can thus spread from one machine to another through a sequence of communications, which must happen in non-decreasing order of time. Describe an O(m+n) algorithm which, given an initial infection of a computer Ca at time t determines for each other computer the earliest time at which it can become infected. Your algorithm should keep track of enough information so that, for any computer Cb it is possible to retrieve in O(n) time a sequence of communications by which Cb could have become infected.
Explain an O(m+n) algorithm which, given an initial infection of a computer Ca at time t determines for each other computer the earliest time at which it can become infected.
Implement the following algorithm for the evaluation of arithmetic expressions. Each operator has a precedence. The + and - operators have the lowest precedence.
Draw a flowchart to print the average for each student in a class. Input. Input consists of student records each containing a student's name(STUDENT-NAME), score for first test(TEST), score for second test(TEST2), and score for third test(TEST3)..
For instance, the constraints x1 = x2, x2 = x3, x3 = x4, and x1 6= x4 cannot be satis fied. Give an efficient algorithm that takes as input m constraints over n variables and decides whether the constraints can be satis fied.
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?
Write working algorithm in pseudo code to decide which commute is cheaper: You wish to decide whether you must drive your car to work or take train. You know one-way distance
Operation code field, a mode field, to specify one of seven addressing modes, a register address field to specify one of 60 processor registers, and memory address. Specify instruction format and number of bits in each field if the instruction ..
Sketch a flowchart or write psuedocode to represent logic of a program that alllows the user to enter three values .
Explain advantages and disadvantages of new algorithm compared with eager decision tree algorithm, and advantages and disadvantages of new algorithm compared with lazy kNN algorithm.
Study feasibility analysis for jobs of LRT algorithm when preemption is allowed. Which scheduling algorithm is best suited for high speed networks and why? Distinguish between static and dynamic systems.
Illustrate that if you were given a polynomial time algorithm for determining whether two rooted directed acyclic graphs are isomorphic, then polynomial time algorithm for testing.
Solve the following recurrence relations by the method of your choiceT(n) = 1 for n = 4 and T(n) =pnT(pn) + n for n > 4. Argue that the solution to the recurrence T(n) = T(n=3) + T(2n=3) + cn is (n lg n) by appealing to the recursion tree.
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