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Let A be an array of n distinct integers. Assume that the integers in A are sorted, i.e. A[i] < A[j], where 0 <= i < j < n. The algorithm count(x, y) returns the number of integers in A which are greater than x and less than y, where x < y. For example, if A = {5, 10, 33, 49, 66, 75, 82, 95, 100}, then count(47, 85) returns 4.
Describe a most efficient algorithm to implement the algorithm for count(x, y). Derive the time complexity for your algorithm.
Complete the proof that the graph BGa (defined in the proof of Theorem 5. 13) is indeed a buffer graph, i. e., for each path P E P there exists a guaranteed path with image P.
Think about the following two scenarios two computers are connected to a LAN using a total of 20-feet of cable, and two computers are connected over the Internet and are 8000 miles from each other.
Design an algorithm to solve the Spectral Assembly problem under the above conditions. Does the problem have a unique solution?
Create an algorithm to produce list of customers from Glad Rags Clothing Company's customer master file. Each record on customer master file contains the customer's number
Write an algorithm for stack using array performing the operations as insertion, deletion, display, isempty, isfull.
Construct the weight vector of the maximum margin hyperplane by inspection and identify the support vectors - how many leaf nodes can a decision tree have if it is consistent with a training set containing 100 examples?
Consider the obvious algorithm for checking whether a list of integers is sorted: start at the beginning of the list, and scan along until we first find a successive pair of elements that is out of order.
Relative advantages are the degree to which a new technology is perceived to be superior to current technology. An company is more likely to adopt new technology when it perceives greater relative
Create algorithm which concatenates T1 and T2 into single binary search tree. Worst case running time must be O(h).
Implement the Insertion Sort algorithm for sorting an array of n elements. In this algorithm, the main loop index i runs from 1 to n-1. On the ith iteration, the element a[i] is "inserted" into its correct position among the subarray a[0..i].
What steps should you take when designing an ADT? The following function computes the sum of the first n ≥ 1 integers. Show how this function satisfies the properties of a recursive function.
count Halstead's ry1 and ry2. Calculate ry and N. Count all strings as occurrences of one operand called ‘‘string.''
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