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Let G be a directed graph over n vertices. Let matrix C have entries Cij equal to the edge cost from vertex i to vertex j. Let matrix D have entries Dij equal to the (minimum) distance from vertex i to vertex j. Devise an algorithm that takes as inputs, matrices C, D, and vertex indices i and j, and returns a minimum-cost path from vertex i to vertex j.
Create algorithm which concatenates T1 and T2 into single binary search tree. Worst case running time must be O(h).
Assume two binary trees, T 1 and T 2 , hold entries satisfying heap-order property. Explain method for combining T 1 and T 2 into a tree T whose internal nodes hold union of entries
Your algorithm must keep track of sufficient 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.
Divide 16 digit value N by six digit integer D obtaining quotient Q and remainder (or sign of the remainder) R by division algorithms.
What is the best order for sending people out, if one wants whole competition to be over as early as possible? More precisely, provide efficient algorithm which produces schedule whose completion time is as small as possible.
Consider a modification of the rod-cutting problem in which, in addition to a price pi for each rod, each cut incurs a fixed cost of c. Give a dynamic-programming algorithm to solve this modified problem.
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..
Using the best fit algorithm, show the state of memory after processes of 212K, 417K, 112K and 350K (in request order) arrive.
Suppose now there are three users. Find the probability that at a given time, all three users are transmitting simultaneously. Find the fraction of time during which the queue grows.
Look up each test item in array of member items, by using sequential search. What is the worst-case running time of it. (asymptotically, in terms of n and k)?
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.
Using dynamic programming, write an algorithm to find the maximum sum of contiguous sublist of a given list of n real values.
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