Defend the possibility that Quicksort's performance can suffer if the greatest or lowest value is used as the pivot.
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Defend the possibility that Quicksort's performance can suffer if the greatest or lowest value is used as the pivot.
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- Show L = { w|w is in {0, 1, 2}* with no(w) > n:(w) and no(w) 2 n2(w), where no(w) is the number of Os in w, n:(w) is the number of 1s in w, and n2(w) is the number of 2s in w } is not context free. Use w = Op+11P2P+1 as your string and assume p is the pumping length.Consider the following loop: //Precondition: (index=x) ^ (x 2 1) ^ (y=0) while (index >1) { index = index/2; ++y; } //Postcondition: (index =1) ^ (2° < x) ^ (x<2♥+1) Suppose we have already proved the first two parts of the postcondition, that is, (index = 1) and (2Y < x). Now we are trying to prove %D the last part (x < 2y+1). If (x < 2Y+1 index) is a loop invariant, can it be used to prove (x < 2Y+1)? Explain why or why not. Yes. Because the statement (x < 2y+1 index) is true before and after loop execution. O Yes. Because it is given that (r<2+1*index) is an invariant, and (x<2+1xindex) is equivalent to (r<2+1). O No. Since index = 1, the two sides of the proof would be the same which means there is nothing to prove. Yes. Because when the loop terminates we have (index=1), so x < 2y+1index = 2y+1Given the following network configuration (A,B... stand for node name, 1,2... stand for the length of the link), please apply Dijkstra's algorithm to calculate the shortest path from A to all the other nodes and answer following questions. B E 3 2 2 D F 5 A 5 H. G Simulate the execution of Dijkstra Algorithm round by round with fulfilling the following table. (6') Node Set B C D E G A 2, A 1,A 5, A INF INF 4,A INF AC 2, A 5, A INF INF 3,С INF 3.
- Old MathJax webview Old MathJax webview Find the new weights using binary sigmoid activation at the end of first iteration using back propagation algorithm for the network of architecture shown below for the input pattern [0.6 0.8 1]' and target vector 0.9. Use learning rate of 0.3. 2. -1 1 y X2 X3 1. 2. 1. 2. 3.Information is present in the screenshot and below. Based on that need help in solving the code for this problem in python. The time complexity has to be as less as possible (nlogn or n at best, no n^2). Apply divide-and-conquer algorithm in the problem. Make sure all test cases return expected outputs by providing output screenshots. Provide screenshots Hint: Apply bisection method/modules Output FormatOutput contains a line with two space-separated integers W_a and W_b.- W_a is the maximum matchups won by Hamiltonia- W_b is the maximum matchups won by Burrgadia. Sample Input 03 554402410 Sample Output 03 0 Sample Input 15 4833485183 Sample Output 12 2 Sample Input 27 81028121912601319851 Sample Output 27 0 The actual code """Solves a test case Parameters:a : int - number of leaders in Hamiltoniab : int - number of leaders in Burrgadias_i : array-like - rap proficiencies of Hamiltonia's leadersr_j : array-like - rap proficiencies of…Information is present in the screenshot and below. Based on that need help in solving the code for this problem in python. The time complexity has to be as less as possible (nlogn or n at best, no n^2). Apply divide-and-conquer algorithm in the problem. Make sure all test cases return expected outputs. Hint: Apply bisection method/modules Output FormatOutput contains a line with two space-separated integers W_a and W_b.- W_a is the maximum matchups won by Hamiltonia- W_b is the maximum matchups won by Burrgadia. Sample Input 03 554402410 Sample Output 03 0 Sample Input 15 4833485183 Sample Output 12 2 Sample Input 27 81028121912601319851 Sample Output 27 0 The actual code """Solves a test case Parameters:a : int - number of leaders in Hamiltoniab : int - number of leaders in Burrgadias_i : array-like - rap proficiencies of Hamiltonia's leadersr_j : array-like - rap proficiencies of Burrgadia's leaders Returns:win_a : int - number of…
- LTE I. 9:44 HW 2 matrix ... ل لقراءة فقط - ليس لديك الإذن بحفظ التغی يرات إلى هذا الملف. حفظ نسخة 208 HW 2 Q1. Use MATLAB to write the following matrix 1 7 C = 0 2 4 6. 9. 3 Then 1. What is the output for C(2, :) 2. What is the output for B = C ([1 2],[1 2]) 3. How can you get transpose of C 4. What is the size of C 5. How can you delete 2nd row of matrix C Q2 Write a linspace command for interval 0.5 to 3 with a step size of 0.1. Can you do it in another way.What is the main difference in measuring the time complexity of single thread and multithreaded algorithms? V. Why the time complexity of job sequencing is O(mn)? VI. In n-queen problem where n=5,how many normal diagonals and reverse diagonals would exist? VII. Draw two graphs that are Hamiltonian graphs. VIII. Traveling sales man problem solves what type of problems?What is the execution time for each of the following fragment? Express your answer in Big-Oh notation for(int i = 0; i < n; i++){ for(int j = 0; j < n; j += n / 10) { . . . } }
- Type your answers in all of the blanks and submit Quicksort's performance hinges on the choice of a pivot value. Choosing the first value in the list is typically considered a bad idea, for instance. Instead of the first element, the Type your answer here Type your answer here Type your answer here method is most likely the best choice. Or, if we are willing to forgo the guarantee of O(n log n) performance, the simple process of Type your answer here the elements before choosing the pivot can make it probable that any element – even the first – is an equally good choice for pivoting.Wireless sensor networks are a special kind of network that may transmit data. For data transmission between nodes and the base station, WSNs rely on sensor nodes. The computing resources and storage space of a sensor node are limited. In this thought experiment, we will consider a decomposable algorithm. To solve these subproblems at separate sensor nodes, would you prefer use divide and conquer or dynamic programming? Use succinct language.Write a MPI program on Fox server to multiply two n-by-n matrices using p processors with 1 <= p <= 8. Fill up the matrices with some constant values so that it would be easier for you to verify the resulting matrix for correctness. You may use collective operations or send/receive primitives.
