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Demonstrate how to use an order-statistic tree to count the number of inversions in an array of size n in time O(n lg n).
Note that we call a pair (i,j) an inversion if i < j, but key[i] > key[j]. Thus, an increasing sequence has no inversions. A decreasing list has the maximum number of inversions, n(n-1)/2.
I believe we start by letting k be the number of inversions in the sequence. We then create an order-statistic tree and store with each node the original index in the sequence.
Is there anything else we store in the node and what would be the algorithm for the number of inversions?
Assume if the last digit of a 2's complement binary number is 0, then number is even. If the last two digits of a 2's complement binary number are 00
Does queue crawl through memory in direction of its head or its tail? Describe your answer. Describe how lack of metrics for measuring certain software properties affects software engineering discipline.
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.
Write down algorithm, using pseudocode, to perform the following task, Given a string of numbers, recognize all of the substrings that form numbers that are divisible by 3.
Create a control unit for a simple hand held video game in which a character on the display catches objects. Only demonstrate the transition diagram
Data structures include: 1. a linked list, 2. an ordered, one dimensional array, and three. a binary tree. Assume the list of letters R, A, N, B, C, F, X and G are stored in a list.
Provide a relevant example using MIPS instruction set architecture. Discuss the similarities and differences of the code will proceed it the branch is taken, vs if the branch is not taken, and explain how this affects the pipeline.
A local department store employee you to create an automated checkout program to expedite customers in a hurry. The checkout line can only allow 5-products for any one purchase.
Suppose the cost of seek is 5milliseconds, while the disk transfer rate is 40 mgbytes per second. Find the cost of sorting the relation , in seconds, w/bb = 1 & w/ bb= 100.
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)?
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?
Write an algorithm or code segment for locating the nth successor of an item in a circlar linked list (the nth item that follows the given item in the list).
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