Write algorithm for Check Schedulability (No Locks): Data: Periodic program P without locks, WCET estimates Ci for τi Result: P schedulable or not, and if so WCRT estimate for each task
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Data: Periodic
Result: P schedulable or not, and if so WCRT estimate for each task
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- Design a top-down algorithm (based on dynamic programming and recursion; i.e. memory function) for checking the existence of a winning strategy for the “Rocks” game. Hints: • Give it the name: RocksMF(n,m) where n,m are the number of rocks on the two piles • Use recursion to call the algorithm itself to solve smaller subproblems • Use a global variable for the two-dimensional tableFrom the following list of bus rapid transit system (one way):Name RouteVacation A->B->C->DWork 1 E->B->F->G->HWork 2 B->N->EWork 3 H->D->N The problem:➢ Task: Design an algorithm to read the bus rapid transit system routes list and print the numberof tickets we need to purchase if we want to visit all places minimal twice. The complexity ofthe algorithm must be O(V+E). V is the number of places. E-> is the number of transits.➢ PS: Use Tarjan’s or Kosaraju’s strongly connected component algorithm.Personal project Q5. This question is concerned with the design and analysis of recursive algorithms. You are given a problem statement as shown below. This problem is concerned with performing calculations on a sequence A of real numbers. Whilst this could be done using a conventional loop-based approach, your answer must be developed using a recursive algorithm. No marks will be given if your answer uses loops. FindAverageAndProduct(a1, ...., an) such that n > 1 Input: A sequence of real values A = (a1, ...., an) Output:, A 2-tuple (average, product) containing the average (average) of all the values and the product (product) of all the values of the elements in A. Your recursive algorithm should use a single recursive structure to find the average and product values, and should not use two separate instances of a recursive design. You should not employ any global variables. (a) Produce a pseudo code design for a recursive algorithm to solve this problem. (b) Draw a call-stack…
- Personal project Q5. This question is concerned with the design and analysis of recursive algorithms. You are given a problem statement as shown below. This problem is concerned with performing calculations on a sequence ? of real numbers. Whilst this could be done using a conventional loop-based approach, your answer must be developed using a recursive algorithm. No marks will be given if your answer uses loops. FindAverageAndProduct(a1, ...., an) such that n > 1 Input: A sequence of real values A = (a1, ..., an) Output:, A 2-tuple (average, product) containing the average (average) of all the values and the product (product) of all the values of the elements in A. Your recursive algorithm should use a single recursive structure to find the average and product values, and should not use two separate instances of a recursive design. You should not employ any global variables. (a) Produce a pseudo code design for a recursive algorithm to solve this problem. (b) Draw a call-stack…Nuts and bolts You are given a collection of n bolts of different widths and n corresponding nuts. You are allowed to try a nut and bolt together, from which you can determine whether the nut is larger than the bolt, smaller than the bolt, or matches the bolt exactly. However, there is no way to compare two nuts together or two bolts together. The problem is to match each bolt to its nut. Design an algorithm for this problem with average-case efficiency in (n log n).A deadlock is the very unpleasant situation that may occur in very dynamic world of running processes, a situation that must be avoided at all costs. One famous algorithm for deadlock avoidance is the Banker's algorithm for deadlock avoidance. The version of this algorithm presented in this module's commentary gives just one solution (the Greedy approach). Consider the Greedy approach to the Banker's algorithm. Give an example of application of this algorithm for 7 processes (named P1, ... , P7) and 5 resource types (named R1, ... , R5). Start by listing the matrices involved in this algorithm, that constitute its input data; also, do not forget to mention the overall resources of each type available in this fictional system. Proceed by describing the algorithm, step by step; for each step, mention the test performed, which process was chosen, what is the old and new status of the Work array, etc. In the end, list the solution, that is the safe sequence of processes resulting from this…
- Course: Algorithm Project: We will use the defintion of of n-Queens Problem from the chapter Backtracking. In this project you need to describe Problem and Algorithm and Indicate input and output clearly. Analyze and prove the time complexity of your algorithm. Implement the algorithm using backtracking(including writing testing case).illustrate key functions with comments indicating: What it does, what each parameter is used for, how it handles errors etc. Indicate the testing scenarios and testing the results in a clear way. Make sure source is commented appropriately and structured well.In a Collatz sequence, all of its terms are positive integers which satisfy the following recursive formula an=0.5an−1 if an−1 is even an=3an−1+1 if an−1 is odd Directions: Given an initial term implement a Collatz sequence, and find its length.Input: a1Output: the length of the Collatz sequence Don't use some sort of menu loop to get user inputAlgorithm problem w/ recurrence: Frying pancakes: a small pan can only hold two pancakes at a time. Each pancake needs to be fried on both sides. Frying one side takes 1 minute, no matter how many pancakes are on the pan. Consider this recursive algorithm: If n <= 2, fry the pancakes or the two pancakes together on each side. If n > 2, fry any two pancakes together on each side and then apply the same process recursively to the remaining n-2 pancakes. a. Set up and solve the recurrence for the amount of time this algorithm needs to fry n pancakes. b. Explain why this algorithm does not fry the pancakes in the minimum time for all n > 0. c. Give a correct recursive algorithm that executes the task in the minimum amount of time. > I was not sure how to start this. I have had trouble with recurrence in the past. Also from the work that I did do, I didn't know how there could be a better algorithm. Thanks in advance
- What will happen if the pseudo code given below executes? func(x): IF x < 50: PRINT X x=x*5 RETURN func(x) /Tester func(2) DOutput values 2,10,50 will be printed Function has a parameter which takes integer As there is no base case error will occur Maximum limit of recursion will be exceededMemoization technique is one of the popular techniques that improve the performance of the recursive algorithms. When applied to a recursive problem how does it affect overall performance? Time complexity decreases and the space complexity increases Time complexity decreases and the space complexity decreases Time complexity increases and the space complexity decreases Time complexity increases and the space complexity increasesInstrument FrequencyCounter to use Stopwatch and StdDraw to make a plot where the x-axis is the number of calls on get() or put() and the y-axis is the total running time, with a point plotted of the cumulative time after each call. Run your program for Tale of Two Cities using SequentialSearchST and again using BinarySearchST and discuss the results. Note : Sharp jumps in the curve may be explained by caching, which is beyond the scope of this question.