9.4-4. Manually apply the Hungarian algorithm to solve the assignment problem having the following cost table: Job 1 2 3 1 Person 2 3(D) 070 M 80 6 0 740
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- Suppose you have two egg-timers (hour-glasses) — one measures in 32-minute intervals, and the other measures in 12-minute intervals. • Use the extended Euclidean algorithm to obtain an equation that explains how you could time a 8 minute egg with these two timers7. What does it mean when we say that an algorithm X is asymptotically more efficient than Y? X will be a better choice for all inputs X will be a better choice for all inputs except possibly small inputs X will be a better choice for all inputs except possibly large inputs Y will be a better choice for small inputsManually apply the Hungarian algorithm to solve the assignment problem having the following cost table: Assignee A B C D 1 4I3N 1 2 2 1 3 2 2 Task 3 0413 لت ليا ت 0 3 0
- Consider the following LP:min 5x1 + 4x2s.t. x1 + x2 ≥ 12x1 − x2 ≥ 13x2 ≤ 2x1, x2 ≥ 0.1. Write down the dual of this LP.2. We know that by strong duality, we can either solve this LP or its dual form to get the sameoptimal objective value. If you apply the simplex algorithm, which one would you rathersolve? Make your choice and apply the simplex algorithm to solve it.Apply the backflow algorithm to the digraph below T9 (6) T5 (12) T1 (3) T6 (10) T8 (4) T10 (5) Т2 (2) End ТЗ (8) T7 (9) T4 (11) Task 5 has a critical time of Task 2 has a critical time ofPlease use the Crank-Nicolson Algorithm to solve the problem
- Consider the following LP:min 5x1 + 4x2s.t. x1 + x2 ≥ 12x1 − x2 ≥ 13x2 ≤ 2x1, x2 ≥ 0.a. Write down the dual of this LP.b. We know that by strong duality, we can either solve this LP or its dual form to get the sameoptimal objective value. If you apply the simplex algorithm, which one would you rathersolve? Make your choice and apply the simplex algorithm to solve it.Q 1: Put the word true in front of the correct statement and the word false in front of * - the false statement for each of the following (each branch has two degrees): 3 3- Kaoss elimination method does not need an auxiliary algorithm to complete the solution calculation. (correct 0 Error1. A student wants to know the effect of 2 parameter settings (Number of iterations and learning rate) on the computation time of an algorithm. Experiments were carried out by trying 3 different values for each parameter, then seeing the response to computation time. If we know the experimental results as shown in the following figure, what information can we get? Boxplot of Speed (sec) Boxplot of Speed (sec) 0,8 0,8- 0,7 0,7- 0,6 0.6 0,5 0,5- 0,4 0,4- 0,3 0,3- 0,2 0,2- 0,50 learning rate 500 1000 1500 0,05 0,95 Niteration Speed (sec)
- A. Find the GCD of the following using Euclidean Algorithm. 1. (68,328) 2. (252,182) 3. (963, 657) 4. (n, n + 1) B. Find the value of x and y in the equation. 1. (68,328) = 68x + 328y 2. (252,182) 252x + 182y 3. (963, 657) = 963 + 657y =This question concerns computational complexity.In this question, the perfect square problem is the problem of determining if a positive integer, n, is a perfect square i.e. if n = x^2 where x is a positive integer.(a) The following decision algorithm, A, is proposed for the perfect square problem:Compute x^2 for integer x starting at x = 1 until x2 either equals or exceeds n. n is accepted in the former case and rejected otherwise.Based on A, what is the complexity class of the perfect square problem? Show your reasoning. (b) What is Heron's algorithm for finding the square root of a number?6. a. Apply Newton's method to the equation r²- a=0 to derive the following square-root algorithm: Calendar - = ²/1 (²+ = -1) In To Do In+1 = b. Use part a. to compute √700 correct to four decimal places. Notifications 110 Inbox