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Suppose function call parameter passing costs constant time, independent of the size of the structure being passed.
(a) Give a recurrence for worst case running time of the recursive Binary Search function in terms of n, the size of the search array. Solve the recurrence.
(b) Give a recurrence for worst case running time of the recursive Merge Sort function in terms of n, the size of the array being sorted. Solve the recurrence.
Create algorithm to calculate union of two input sets given as arrays, both of size O(n). The output must be array of distinct elements that form union of the sets.
Given a black-box worst-case linear-time algorithm for ?nding median, create algorithm solving the selection problem for an arbitrary order statistic.
Assume we drive pickup truck from city A to city B. Along high way, we will go through n apple markets, labeled with 1, 2, ..., n, where you can buy or sell apples. which means you buy and sell apples at the same market i.
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..
Explain the process of insertion into a heap-implemented priority queue, and informally explain its complexity and the process of removal from a heap-implemented priority queue, and informally explain its complexity.
Explain the FIFO structure of the queue Explain how you would implement the queue data structure in its simplest form. Illustrate your answer fully with the necessary sample code
For a message, he computes the hash value H = (VChar 1 x VChar 2 x VChar 3 ...x VChar N) mod(26).
Design an algorithm and souce code C++ that will read a file of employee records and produce a weekly report of gross earnings for those employees.
Expalin the search algorithm that results from each of the following special cases. How does it relate to other algorithms we have discussed.
Describe a FAIRCOIN algorithm that returns either 0 or 1 with equal probability, using ONEINTHREE as your only source of randomness.
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.
Consider adaptive playout delay algorithm. Demonstrate through simple example which adjusting playout delay at beginning of each talk spurt results in compressing
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