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- using c++ object oriented programming language concept Explain (separately) the processes for both Bubble Sort and Insertion Sort, the concept of an inversion, and how Bubble Sort and Insertion Sort resolve inversions. Which of these two sorts is quicker? Why? Be sure to use the concept of solving a subproblem in your answer. What is the time complexity of these sorts in best case? worst case? average case? Why? How can we apply Binary Search to Insertion Sort? Does it change the time complexity? Your answerA ring buffer, or circular queue, is a FIFO data structure of a fixed size N. It is useful for transferring data between asynchronous processes or for storing log files. When the buffer is empty, the consumer waits until data is deposited; when the buffer is full, the producer waits to deposit data. Develop an API for a RingBuffer and an implementation that uses an array representation (with circular wrap-around)Prob 1. Consider a dequeue() operation for a Dynamic Queue. For a n size Queue filled with n elements, show how the amortized running time O(1)* could be derived.“
- The ColumnChoice problem takes as input a two-dimensional array A[1..m, 1..n] of Os and 1s with m rows and n columns along with a non-negative integer k < n. It asks whether there exists a subset SC {1, ..., n} of k columns such that for each row i e {1,..., m} there exists at least one column j e S where A[i, j] = 1. Prove that ColumnChoice is NP- complete.Support Vector Machines (SVM). The kernel used to solve the XOR problem is given by k(xi, xj) = (1 + xi ¹xj) P. What is the smallest positive integer p for which the XOR problem is solved? Show the kernel and XOR Problem solution using SVMI calculate every step and not using librariesProve the following implication. Submit your proof in the file uncurry.log, following the same instructions as in Task 2 P (Q→ R) = (PAQ) → R (Functional programmers may recognize this as uncurrying.)
- Using functional C++ programming, not OOP Given set A = {23, 56, -7, 6, 0, 75, 2.7, -3.6, 8, -4.77, 43, 678} and set B = {5, 8, 46, -98, 46} a. Using q sort approach, sort the numbers in set A and B jointly. b. Using RAM diagrams, show the values of parameters that are passed between the partition() function and sort()make python implement parallel matrix multiplication by row-partitioning using theProcess object of multiprocessing module. The input matrices A and B are small3×3 matrices and each of 3 processes receives its row and matrix B from the masterprocess, multiplies its row with matrix B to form the row of product matrix C. Aworker then sends its associated row of matrixC to the master.We need to consider thefollowing for this algorithm: when a process is spawned using the Process module,it has all of the data of the parent process but the modifications it makes are notreflected in the parent process. In order to have the product matrix C shared betweenthe processes, we need to use the Manager object of the multiprocessing module anddefine C as an array to be shared from this object. Each worker process performsmultiplication and stores the result in its row entry of matrix C.We have a distributed system with K computers C1, C2, CK. There are also M text documents D1, D2, .., DM stored in the system. Explain the Map-Reduce steps to return the number of occurrences of any word in the documents (word count).
- The Burrows-Wheeler transform (BWT) is a transformation that is used in data compression algorithms, including bzip2, and in high-throughput sequencing in genomics. Write a SuffixArray client that computes the BWT in linear time, as follows: Given a string of length N (terminated by a special end-of-file character $ that is smaller than any other character), consider the N-by-N matrix in which each row contains a different cyclic rotation of the original text string. Sort the rows lexicographically. The Burrows-Wheeler transform is the rightmost column in the sorted matrix. For example, the BWT of Mississippi is ipssm$pissii. The Burrows-Wheeler inverse transform (BWI) inverts the BWT. For example, the BWI of ipssm$pissii is mississippi$. Also write a client that, given the BWT of a text string, computes the BWI in linear time.write code to implement parallel matrix multiplicationC = A×B by row partitioningmatrix A and sending each process its partition and the whole of matrix B. Eachprocess performs its own multiplication and sends the partial product to the masterprocess which collects all results and then prints the product matrix C, we have 4processes including the master process. The output matrix C displayed is the product of matrices A and B.Given an array A[0..n-1], write the following versions of CUDA programs with and without using shared memory. Each thread splits and merges two subarrays of size n/p in each iterations. Use shared memory and multiple blocks. Experiment to get best performances.
