Problem: Given a set of tasks and a dependency list between tasks. Output: Ordered list of tasks such that each task is only started once the tasks it depends on are completed. Analyze your algorithm.
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- A graph is a collection of vertices and edges G(V, E). A weighted graph has weights (numbers, etc.) on every edge. A multigraph can have more than one edges between any vertices. Explain why a person should use a weighted graph instead of a multigraph. Give examples. An adjacency matrix might be a better choice for speeding up a program, however, it consumes huge memory for large graphs. How this situation can be improved? What programming constructs better suit graph representation? Explain with exampleInstrument 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.Wireless sensor networks (WSNs) refer to a domain of communication networks. In a WSN, small devices called sensor nodes are used for data transfer among each other and a base station. One limitation of a sensor node is that it has a very limited processing capability and very small memory. Consider a scenario in which you have an algorithm that can be subdivided into smaller problems. If you have to run these sub-problems in different sensor nodes, would you prefer to use divide & conquer approach or dynamic programming approach? Write briefly and precisely.
- Group scheduling Scheduling tasks to actors (people, CPUs, machines etc) is a problem that one encounters very often in practice. In this small exercise, we practice how to solve such a problem by using recursive problem solving. More specifically, we solve the following problem: We are organizing a course and have n� tutorial groups. To run the groups, we are hiring m� teaching assistants. Due to other responsibilities, an assistant is not necessarily able to teach all possible tutorial groups but has a set of groups that s/he can teach. We call this set of possible groups the preferences of the assistant.Is it possible to assign each tutorial group one assistant in a way that (i) all the assistants' preferences are respected, and (ii) each assistant teaches at most one tutorial group?Needless to say, this a very simplified version of the problem; in real life, some groups need more assistants, some assistants can teach more groups, consecutive group times for an assistant should be…Can you please help me with this code because i am struggling on how to do this, this code has to be in C code.question that i need help with:Priority with round-robin schedules tasks in order of priority and uses round-robin scheduling for tasks with equal priority. There will be multiple queues in the system each representing one priority class. For ease of implementation, you need total 1 through max_priority numbers of queues. You should start scheduling job out of the max priority queue and serve the members of the queue following RR. The schedule of tasks has the form [task name] [priority] [CPU burst], with the following example format: T1, 4, 20 T2, 2, 25 T3, 3, 25 T4, 3, 15 T5, 10, 10 The output should look like this: Running task = [P1] [4] [5] for 5 units. Task P1 finished. Running task = [P5] [3] [4] for 4 units. Task P5 finished. Running task = [P4] [2] [7] for 1 units. Task P4 exhausted its Quantum hence will be Rescheduled. Running task = [P3] [2] [1] for 1 units. Task…Write a program in 'C' for implementation of a single linked list of name and age of different persons and also do the following by using one function each for each task: (a) The linked list needs to be sorted always. (b) It should accept a person's name and age and insert the node at right position in the list so that it remains sorted after insertion. The list should be sorted on name and then on age. MakeMake necessary assumptions.
- Must be new solution and run on GNU Common Lisp! Using Lisp, write a program that solves the Missionaries and Cannibals problem that uses a DFS( depth first search). It should use (mac start end). Start is the current state (which can be (3 3 l) and End is the goal state (which can be (0 0 r). This should output the sequences of moves needed to reach the end state from the start state. This should print nil if there is no solution. For example, the call should be something like this! Call: (mac '(3 3 l) '(0 0 r)) Output: ((3 3 l) (2 2 r) (3 2 l) (3 0 r) (3 1 l) (1 1 r) (2 2 l) (0 2 r) (0 3 l) (0 1 r) (1 1 l) (0 0 r))WRITE THE MAIN.CPP FOR THIS PROGRAM a. Write a version of the sequential search algorithm that can be used to search a sorted list. (1, 2) b. Consider the following list: 2, 20, 38, 41, 49, 56, 62, 70, 88, 95, 100, 135, 145 Using a sequential search on ordered lists, that you designed in (a), how many comparisons are required to determine whether the following items are in the list? (Recall that comparisons mean item comparisons, not index comparisons.) (1, 2) 2 57 88 70 135 Write a program to test the function you designed. Note: Have the function,seqOrdSearch, return -1 if the item is not found in the list. (return the index of the item if found).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.
- 10. Suppose you are given an implementation of a queue of integers. The operations that can be performed on the queue are: i. isEmpty (Q)– returns true if the queue is empty, false otherwise. ii. delete (Q) – deletes the element at the front of the queue and returns its value. iii. insert (Q, i) – inserts the integer i at the rear of the queue. Consider the following function: void QUE(queue Q) { int i ; if (!isEmpty(Q)) { i = delete(Q); QUE(Q); insert(Q, i); } } What operation is performed by the function QUE assuming the elements 1, 2, 3, 4 are in the queue ? %D Leaves the queue unchanged Empties the queue Q Reverse the order of the elements in queue Q Deletes the elements of the queue Q from the front and inserts it at the rear of the Queue Qkeeping the other elements in the same OgenIn this question, you are to implement two functions for reversing linked lists. One function, reverse_iter(..), must use an iterative approach (i.e., loops), whereas the other function, reverse_rec(..), must use recursion instead. We have already implemented the linked list as well as all its helper-functions in the Ilist-module.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…