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(a) You are given two inputs: an integer k, and an array A containing n integers. Give an algorithm to find any one of the k smallest elements of A, using at most n - k comparisons. (In other words, your algorithm must return one of the k smallest elements of A, but it doesn't matter which one.) Explain why your algorithm is guaranteed to find a correct answer and why it satisfies the bound on the running time. (Hint: there is a very easy way to solve this problem).
(b) Show that your algorithm from (a) is optimal by proving a lower bound of n - k on the number of comparisons required to solve the problem.
Create a divide and conquer algorithm to solve problem. The time complexity of your algorithm must be O(nlgn) or better.
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.
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.
Determine ciphertext (in binary form) generated by encryption of character X?
Write an algorithm, using pseudo code, "Consensus algorithm": A group of ten people need to decide which one flavor of ice cream they will all order, out of three options.
If Encrypt-It-Rite would like to increase average cracking time to at least 100 years, determine the minimal length of the key?
For a message, he computes the hash value H = (VChar 1 x VChar 2 x VChar 3 ...x VChar N) mod(26).
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
Evaluate the effective address if the addressing mode of the instruction is (a) direct; (b) immediate; (c) relative; (d) register indirect.
"sort an array of 10,000 elements using quick sort algorithm as follows: sort the array using pivot as middle element of the array
Write an algorithm in pseudo code to settle following question: A bank account starts out with $10,000. Interest is compounded monthly at 6% per year(0.5% per month).
Suppose that it doesn't take any time to allot work to process, calculate best- and worst-case speedup for centralized scheme for dynamic mapping with two processes.
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