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"You are given a DAG called G that is the prerequisite graph for a set of courses required for a degree. Each vertex corresponds to a course, and there is an edge from vertex C1 to vertex C2 if and only if C1 is a prerequisite for C2.
Give a high-level description of an algorithm that labels each vertex in G with the minimum number of semesters required to complete the course. (Assume that any course may be taken in any semester, but only if all the prerequisite courses have been taken in prior semesters.)
Your algorithm should run in linear time (i.e., O(E+V) for an adjacency list and O(V2) for an adjacency matrix.)
The recent discovery of the following fragment of uncommented procedural C code in the Sunlab has caused a big scandal. What is the worst-case time complexity of foo(a,1,N,k), and for which inputsdoes it occur?
Write down the suitable example of best use of Encryption, Virus, VPN, Firewall securities, when and explain why?
If you get ciphertext message YPHDCRPBEQTAA, decrypt to recover plaintext.
Create a divide and conquer algorithm to solve problem. The time complexity of your algorithm must be O(nlgn) or better.
Explain the following sorting techniques using appropriate algorithms- (i) selection sort (ii) bubble sort
Give a linear-time algorithm to find an odd-length cycle in a directed graph. You may not suppose that graph is strongly connected.
Your goal is to solve the following simple programming exercise. You have been asked by your accounting department to design an algorithm determining the annual profit for your company.
Create a C++ program to evaluate expressions combining set union, set intersection and parentheses
Using the FIFO page removal algorithm, do a page trace analysis indicating page faults with asterisks (*). Then compute the failure and success ratios.
Design a GUI and implement Tic Tac Toe game in java
Illustrate all your work. Use modular approach to solving this problem. Give the following submodule. Calculations - module to compute gross pay. Using the Program Development Cycle, develop an algorithm using pseudocode for the following task.
Assume you have one machine and a set of n jobs a1, a2, ..., an to process on that machine. Determine the schedule that obtains the maximum amount of profit. Compute the running time of your algorithm?
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