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1. Explain the distinction between an ambiguity in a proposed algorithm and an ambiguity in the representation of an algorithm.
2. Describe how the use of primitives helps remove ambiguities in an algorithm's representation.
3. What is the difference between a formal programming language and pseudo-code?
4. What is the difference between syntax and semantics?
5. Four prospectors with only one lantern must walk through a mineshaft. At most, two prospectors can travel together and any prospector in the shaft must be with the lantern. The prospectors, named Andrews, Blake, Johnson, and Kelly, can walk through the shaft in one minute, two minutes, four minutes, and eight minutes, respectively. When two walk together they travel at the speed of the slower prospector. How can the prospectors get through the mineshaft in only 15 minutes? After you have solved this problem, explain how you got your foot in the door.
Addition and Subtraction of numbers in binary and round to the nearest decimal number with three significant decimal digits
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..
Write a program to simulate a grocery store checkout counter. Construct one long queue from which customers dequeue to the next available counter.
Compare the average behavior of insertion sort for n elements with that of the n insertions into an initially-empty straight array implementation of a priority queue
Evaluate the average complexity of an enqueue operation. Determine the average complexity of the dequeue (remove) operation.
Sort the scheduling algorithms (FCFS, SPF, RR, MLFB) according to each of High throughput (if we take averages of time intervals smaller than the sum of all processes' time)
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.).
Provides learners with an understanding of how data structures are used in algorithms and enables them to design and implement data structures
Give an algorithm to decide whether the language recognized by a DFA is empty. Given two DFAs M1 and M2, give an algorithm to decide whether L(M1)subset or equal to L(M2).
Consider a simple symmetric encryption algorithm as follows:Is it a problem if the first block of input happens to be the same as the key? Explain why?
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.
Certain points along the road, so that every house is within four miles of one of the base stations. Give an efficient algorithm that achieves this goal using as few base stations as possible.
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