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You are given a set of n tasks to be performed. The ith task takes ti units of time to complete. You are given a set of dependencies, (u, v), meaning that task u must be completed before task v can start. You may assume that there are no cyclic dependencies. Present an O(|V | + | E |) time algorithm which, given the times ti and the dependencies, determines the minimum time needed to complete all the tasks.
How many elementary operations are used in algorithm given below? The elementary operations are comparison operations (such as > and
So that every house is within four miles of one of the base stations. Write efficient algorithm that achieves this goal, using as few base stations as possible.
Find the shortest path tree from every node to node 1for the graph of following figure using Bellman-Ford and Dijkstra algorithm.
storage pool and that there is a special null value. Write an algorithm to count the nodes in a linked list with first node pointed to by first."
Find out whether there is an assignment of true/false values to the literals such that at least a*m clauses will be true. Note that 3-SAT(1) is exactly the 3-SAT problem. Give an O(m*n)-time algorithm that outputs a satisfying assignment for 3-S..
Give a linear-time algorithm to find an odd-length cycle in a directed graph. You may not suppose that graph is strongly connected.
Design an algorithm based on BFS that either colors a graph with 2 colors or determines that two colors are not sufficient.
The report is divided into four main parts. The introduction about sample, hold amplifier and design, bootstrap switch design followed by simulation results.
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.
Implement a queue as a circular array as follows: Use two index variables head and tail that contain the index of the next element to be removed and the next element to be added.
Describe an algorithm that finds a maximum feasible flow in G. Denote by MF(|V|, |E|) the worst-case running time of an ordinary maximum flow algorithm.
Determine an algorithm which works directly with this graph representation, and calculates minimum number of semesters necessary to complete the curriculum.
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