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A mission-critical production system has n stages that have to be performed sequentially; stage i is performed by machine Mi.Each machine Mi has a probability ri of functioning reliably and a probability (1 - ri) of failing (and the failures are independent). Therefore, if we implement each stage with the single machine, the probability that the whole system works is r1 × r2 × · · · × rn. To improve this probability we add redundancy, by having mi copies of the machine Mi so that stage i can be performed by mi independent copies. Each machine has a nonnegative cost ci, and there is a total budget B to buy machines.Given the probabilities r1, · · · , rn, the costs c1, · · · , cn, and the budget B, ?nd the redundancies m1, · · · , mn that are within the available budget and that maximize the probability that the system works correctly. Devise an ef?cient algorithm.You can assume the costs ci and the budget B are integers.
In this programming assignment you will implement an open hash table and compare the performance of four hash functions using various prime table sizes.
Determine hash value of modified file look like, as compared with original hash value?
Give an example of a graph in which every node is pivotal for at least two different pairs of nodes. Explain your answer.
Consider T be augmented red-black tree, where each node x has attribute x.size, which is number of internal nodes in subtree rooted at x. Given such augmented red-black tree T.
Design an algorithm that will receive two integer items from a terminal operator, and display to the screen their sum, difference, product and quotient.
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.
Identify at least two data structures that are used to organize a typical file cabinet. Why do you feel it is necessary to emulate these types of data structures in a computer program?
Describe a sorting algorithm to be parsimonious if it never compares same pair of input values twice. (Supose that all the values being sorted are distinct.).
Write an algorithm but not code. Write a recursive version of the array-based linear search algorithm. Write a recursive version of the linked-list-based linear search algorithm."""
If Encrypt-It-Rite would like to increase average cracking time to at least 100 years, determine the minimal length of the key?
Design an algorithm to find the average miles per gallon. Sample data: 68723, 71289, 15.75, 16.30, 10.95, 20.65, 30.00.
Write the algorithm to read arbitrary number of data records, each comprising name, age, and code.
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