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Suppose you have one machine and a set of n jobs a1 , a2 , · · · , an to process on that machine. Each job aj has a processing time tj , a pro?t pj , and a deadline dj . The machine can process only one job at a time, and job aj must run uninterruptedly for tj consecutive time units. If job aj is completed by its deadline dj , you receive a profit pj , but if it is completed after its deadline, you receive a profit of 0. Give an algorithm to find the schedule that obtains the maximum amount of profit, assuming that all processing times are integers between 1 and n.
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)?
Determine hash value of modified file look like, as compared with original hash value?
Write a method singleParent, which returns number of nodes in a binary tree that have only one child.
Find the shortest path tree from every node to node 1for the graph of following figure using Bellman-Ford and Dijkstra algorithm.
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.
Write down the sample code to create a Linked List and allocate storage space for a node Write down the algorithm to insert an item At the beginning of a linked list
Write an algorithm (pseudocode) to find the intersection of two singly-linked lists. Assume that the data in each list are in nondecreasing order.
Devise an algorithm that generates an access control matrix A for any given history matrix H of the Chinese Wall model. A significant portion of the grade for this problem involves your justification of your algorithm.
Describe how the use of primitives helps remove ambiguities in an algorithm's representation.
"Compression algorithms are often used in forensics. Suppose you are involved in a case and have been asked by the lawyer to explain, in general terms.
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.
Write the selection sort algorithm
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