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A group of n Ghostbusters is battling n ghosts. Each Ghostbuster is armed with a proton pack, which shoots a stream at a ghost, eradicating it. A stream goes in a straight line and terminates when it hits the ghost. The Ghostbusters decide upon the following strategy. They will pair off with the ghosts, forming n Ghostbuster-ghost pairs, and then simultaneously each Ghostbuster will shoot a stream at his chosen ghost. As we all know, it is very dangerous to let streams cross, and so the Ghostbusters must choose pairings for which no streams will cross. Assume that the position of each Ghostbuster and each ghost is a fixed point in the plane and that no three positions are collinear.
a. Argue that there exists a line passing through one Ghostbuster and one ghost such the number of Ghostbusters on one side of the line equals the number of ghosts on the same side. Describe how to find such a line in O(n lg n) time.
b. Give an O(n^2 lg n)-time algorithm to pair Ghostbusters with ghosts in such a way that no streams cross.
Fnd the redundancies m1, · · · , mn that are within the available budget and that maximize probability that system works correctly. Create an ef?cient algorithm.
The node's right child. If the nil pointer is represented by 00 and the tree's root pointer contains 53, how many terminal nodes are in tree?
Let A[1, n] be an array of real numbers. Create an algorithm to perform any sequence of the following two operations: Add(i, x): add the value x to A[i].
Select a specific category of vertical applications to investigate. Use the Internet and any other sources of information you might have to study some of the different products that are available in that category.
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.
Determine the mean salary as well as the number of salaries.
Data structures for a single algorithm
The recent discovery of the following fragment of uncommented procedural C code in the Sunlab has caused a big scandal. What is the worst-case time complexity of foo(a,1,N,k), and for which inputsdoes it occur?
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
Create the algorithm to calculte and print average earnings, lowest earnings, and highest earnings of group of employees. Each input record will contain name and earnings of one employee.
If Encrypt-It-Rite would like to increase average cracking time to at least 100 years, determine the minimal length of the key?
Demonstrate a decision tree or table
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